The roof of a high rise is in the shape of an isosceles triangle with a base of 89 feet. The perimeter of the roof is 281 feet. How long is each of the equal sides of the roof?

Answers

Answer 1

Answer:

96 ft

Step-by-step explanation:

Perimeter= a (base)+b (side)+c (side)

281 = 89 +b + c

281 -89 = b + c

192 = b+ c ( however in an iscoceles triangle, 2 sides aree equal therefore b and c will be equal)

So: 192/2 = 96

Answer 2

Answer:

Each of the equal sides of the roof is 96 ft long

Explanation:

Let the length of each of equal sides of given isosceles triangle be x, we know that perimeter of a triangle is equal to sum of sides of the triangle, we are given the base side to be equal to 89 feet and perimeter of the triangle equal to 281 feet.

so we can say that x + x + 89 =281 feet.

=> 2 x + 89 = 281 feet

=> 2 x = 192

=> x = 96

So, each of the equal sides is equal to 96 feet.


Related Questions

Find the area and circumference of a circle that has a diameter of 17mm

Answers

The area of the circle is approximately [tex]\(69.46 \, \text{mm}^2\)[/tex] and the circumference is approximately [tex]\(53.49 \, \text{mm}\).[/tex]

To find the area A and circumference C of a circle given its diameter d, we can use the following formulas:

1. Area A of a circle:

[tex]\[ A = \pi \times \left(\frac{d}{2}\right)^2 \][/tex]

2. Circumference C of a circle:

[tex]\[ C = \pi \times d \][/tex]

Given that the diameter d is 17 mm, we can plug this value into the formulas to find the area and circumference.

1. Area A of the circle:

[tex]\[ A = \pi \times \left(\frac{17}{2}\right)^2 \]\[ A = \pi \times \left(\frac{17}{2}\right) \times \left(\frac{17}{2}\right) \]\[ A = \pi \times \frac{17 \times 17}{4} \]\[ A = \pi \times \frac{289}{4} \]\[ A = \frac{289}{4} \pi \][/tex]

[tex]\[ A \approx 69.46 \, \text{mm}^2 \][/tex]

2. Circumference (\(C\)) of the circle:

[tex]\[ C = \pi \times 17 \]\[ C = 17\pi \][/tex]

[tex]\[ C \approx 53.49 \, \text{mm} \][/tex]

Which expression is equivalent to
r9/r3?

Answers

minus the exponents ( when dividing)

r^9- r^3

answer:

r^6

Which expression is equivalent to [tex]r^9/r^3[/tex] ?  The correct answer is b) [tex]r^6[/tex].

To simplify the expression [tex]r^9/r^3[/tex], we need to apply the rule of exponents. When dividing two terms with the same base, you can subtract the exponents.

In this case, both [tex]r^9[/tex] and [tex]r^3[/tex] have the same base 'r', so we subtract the exponent of [tex]r^3[/tex] from the exponent of [tex]r^9[/tex].

[tex]r^9/r^3[/tex] = [tex]r^{9-3}[/tex] = [tex]r^6[/tex].

In this problem, we are given the expression [tex]r^9/r^3[/tex] and we need to find an equivalent expression for it. To do that, let's understand the rules of exponents.

In general, when you have a term raised to a certain power and you divide it by the same term raised to a different power, you can simplify it by subtracting the exponents. For example, [tex]a^m / a^n = a^{m-n}[/tex].

Now, looking at our expression, [tex]r^9/r^3[/tex], we notice that both terms have the same base 'r'. According to the rule mentioned above, we can simplify the expression by subtracting the exponent of r3 from the exponent of [tex]r^9[/tex].

[tex]r^9/r^3[/tex] = [tex]r^{9-3}[/tex] = [tex]r^6[/tex].

So, the expression [tex]r^9/r^3[/tex] is equivalent to [tex]r^6[/tex]. This means that when you have a term raised to the power of 9 and you divide it by the same term raised to the power of 3, the result is the term raised to the power of 6.

In conclusion, the correct answer is b) [tex]r^6[/tex], as it represents the equivalent expression to [tex]r^9/r^3[/tex] after applying the rules of exponents.

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Mrs. William shops at a store that has an annual membership fee of $30. today she paid her annual membership and bought several fruit baskets costing $15 each as gifts for her co-workers. her total was $105. solve the equation 15b+ 30=105 to find the number of fruit baskets mrs. Williams purchased.​

Answers

Number of fruit baskets purchased by Mrs. William is 5

Solution:

Given that  

Annual membership fee of store where Mrs. William shops = $30

Cost of one fruit basket which Mrs. William as gifts for her co-workers = $15

Total amount spent by Mrs. William = $150

Given that "b" represents number of basket purchased

Equation which models the above scenario is as follows

15b+ 30=105   ------ (1)

Where b represents number of fruit basket purchased by Mrs. William

Need to calculate number of fruit basket purchased by Mrs. William

For which we need to solve equation (1) for b  

On solving we get

15b+ 30 = 105    

On Subtracting 30 from both sides we get

15b + 30 – 30 = 105 – 30

=> 15b = 75

On dividing both sides by 15 we get  

[tex]\begin{array}{l}{\frac{15 b}{15}=\frac{75}{15}} \\\\ {=>b=5}\end{array}[/tex]

As variable "b" represents number of basket purchased, hence we can conclude that number of fruit baskets purchased by Mrs. William is 5

The monthly budget for the front of the house is $5,000. You spent 10% of the budget on fresh flowers. How much did you spend on fresh flowers?

Answers

Final answer:

To find out how much was spent on fresh flowers, 10% of the monthly budget of $5,000 was calculated, resulting in $500 spent on fresh flowers.

Explanation:

If the monthly budget for the front of the house is $5,000, and you spent 10% of the budget on fresh flowers, you can calculate the amount spent on fresh flowers by finding 10% of $5,000. To do this, you simply multiply the total budget by the percentage (expressed as a decimal).

To express 10% as a decimal, you divide 10 by 100, which gives 0.10. Next, multiply the monthly budget by this decimal:

0.10 × $5,000 = $500

Therefore, you spent $500 on fresh flowers.

Solving systems by substitution
X=y-11
2x+3y=8

Answers

Answer:

x=-5, y=6. (-5, 6).

Step-by-step explanation:

x=y-11

2x+3y=8

--------------

2(y-11)+3y=8

2y-22+3y=8

5y-22=8

5y=8+22

5y=30

y=30/5=6

x=6-11=-5

Thank you! Please do both

Answers

Answer:

my 12 inch pito that pito good

if f(x)=4/x+2 and g is the inverse of f, then g'(10)=​

Answers

Answer:

The value of g'(10)=[tex]\frac{(-1)}{16}[/tex]

Step-by-step explanation:

Given function is f(x)=[tex]\frac{4}{x} + 2[/tex]

Take f(x)=y

y=[tex]\frac{4}{x} + 2[/tex]

Subtract 2 from both side.

y-2=[tex]\frac{4}{x}[/tex]

x=[tex]\frac{4}{y-2}[/tex]

The inverse of f(x) is written as [tex] \frac{4}{y-2}[/tex]

It is said as g is inverse of f

g(y)=\frac{4}{y-2}[/tex]

g(y)=[tex]\frac{4}{y-2}[/tex]

g(10)=[tex]\frac{4}{10-2}[/tex]

g(10)=[tex]\frac{1}{2}[/tex]

Differentiating both sides we get,

g'(y)=[tex]\frac{4(-1)}{(y-2)^{2}}+0[/tex]

g'(y)=[tex]\frac{(-4)}{(y-2)^{2}}[/tex]

To find g'(10)=[tex]\frac{(-4)}{(10-2)^{2}}[/tex]

g'(10)=[tex]\frac{(-1)}{16}[/tex]

What value of z makes the equation true? 0.2z -8 =0.4z -7

Answers

Answer:

X= -0.4545

Step-by-step explanation:

YOU HAVE TO SUBTRACT .2Z FROM .4Z WHICH GETS YOU .2 ON THE RIGHT SIDE

THAT WOULD MEAN YOU HAVE TO CLEAR OUT THE SEVEN BY ADDING IT ON BOTH SIDES GETTING -1

THEN YOU WOULD HAVE -1=.2Z

THEN DIVIDE BY .2 GETTING YOU A TOTAL OF -0.4545 WHEN YOU FINISH DIVIDING

use the method of completing the square to solve y²+y-7=0​

Answers

Answer:

y = sqrt(29)/2 - 1/2 or y = -1/2 - sqrt(29)/2

Step-by-step explanation:

Solve for y:

y^2 + y - 7 = 0

Add 7 to both sides:

y^2 + y = 7

Add 1/4 to both sides:

y^2 + y + 1/4 = 29/4

Write the left hand side as a square:

(y + 1/2)^2 = 29/4

Take the square root of both sides:

y + 1/2 = sqrt(29)/2 or y + 1/2 = -sqrt(29)/2

Subtract 1/2 from both sides:

y = sqrt(29)/2 - 1/2 or y + 1/2 = -sqrt(29)/2

Subtract 1/2 from both sides:

Answer: y = sqrt(29)/2 - 1/2 or y = -1/2 - sqrt(29)/2

Answer:

y=sqrt(29)/2-1/2, -sqrt(29)/2-1/2

Step-by-step explanation:

y^2+y-7=0

completing the square,

(b/2)^2=(1/2)^2=1/4

(y+1/2)^2=7+1/4

(y+1/2)^2=28/4+1/4

(y+1/2)^2=29/4

y+1/2=sqrt(29/4)

y=sqrt(29/4)-1/2

y=sqrt(29)/2-1/2

y=-sqrt(29)/2-1/2

2x^5+7x^4-18x^2-8x+8 find zeros​

Answers

This was a year ago and no one answered I hope you did find the answer

-6(y+5)-24=66 find the value of y

Answers

Answer:

y=-20

Step-by-step explanation:

-6(y+5)-24=66

-6y-30-24=66

-6y-54=66

-6y=66+54

-6y=120

y=120/-6=-20

Uncle Drew scored 28 points in 5 minutes during a game of basketball.
How many points did he average per minute during that 5-minutes?
points per minute

Answers

Uncle Drew averaged 5.6 points per minute during that 5-minute game.

To find the average number of points Uncle Drew scored per minute during the 5-minute game, we divide the total number of points scored by the number of minutes played.

Given that Uncle Drew scored 28 points in 5 minutes, we divide 28 by 5:

[tex]\[ \text{Average points per minute} = \frac{28}{5} \]\[ \text{Average points per minute} = 5.6 \][/tex]

Can somebody help me with the 3 questions?

Answers

Answer:

1.

a. 2.75 seconds

b. 169 feet

2. x - 3 is a factor

Other factors: x + 2, 2x + 1, 3x - 4

3. Real zeros: [tex]x = -2[/tex]

Complex zeros: [tex]x_{2,3}=-3\pm 2i[/tex]

Step-by-step explanation:

1. Given equation of parabola

[tex]s(t)=-16t^2+88t+48[/tex]

a) The rocket reaches its maximum height at the vertex of parabola. Find t-coordinate of the vertex:

[tex]t_v=\dfrac{-b}{2a}\\ \\=\dfrac{-88}{2\cdot (-16)}\\ \\=\dfrac{11}{4}\\ \\=2.75\ seconds[/tex]

b) The maximum height is s-coordinate of the vertex. Find it:

[tex]s\left(\dfrac{11}{4}\right)\\ \\=-16\cdot \left(\dfrac{11}{4}\right)^2+88\cdot\left(\dfrac{11}{4}\right)+48\\ \\=-121+22\cdot 11+48\\ \\=169\ feet[/tex]

2. For x – 3 to be a factor of  [tex]f(x)=6x^4-11x^3-35x^2+34x+24,[/tex] the Factor Theorem says that x = 3 must be a zero of  f(x). Check it (whether f(3)=0):

[tex]f(3)\\ \\=6\cdot 3^4-11\cdot 3^3-35\cdot 3^2+34\cdot 3+24\\ \\=6\cdot 81-11\cdot 27-35\cdot 9+102+24\\ \\=486-297-315+126\\ \\=0[/tex]

So, x = 3 is zero of the function f(x) and x - 3 is the factor of the function f(x). Rewrite the function as follows:

[tex]f(x)\\ \\=6x^4-11x^3-35x^2+34x+24\\ \\=6x^4-18x^3+7x^3-21x^2-14x^2+42x-8x+24\\ \\=6x^3(x-3)+7x^2(x-3)-14x(x-3)-8(x-3)\\ \\=(x-3)(6x^3+7x^2-14x-8)\\ \\=(x-3)(6x^3+12x^2-5x^2-10x-4x-8)\\ \\=(x-3)(6x^2(x+2)-5x(x+2)-4(x+2))=\\ \\=(x-3)(x+2)(6x^2-5x-4)\\ \\=(x-3)(x+2)(6x^2+3x-8x-4)\\ \\=(x-3)(x+2)(3x(2x+1)-4(2x+1))\\ \\=(x-3)(x+2)(2x+1)(3x-4)[/tex]

3. [tex]x=-2[/tex] is a zero of the function [tex]f(x)=x^3+8x^2+25x+26,[/tex] then

[tex]f(x)\\ \\=x^3+8x^2+25x+26\\ \\=x^3+2x^2+6x^2+12x+13x+26\\ \\=x^2(x+2)+6x(x+2)+13(x+2)\\ \\=(x+2)(x^2+6x+13)[/tex]

Find the discriminant of the quadratic polynomial [tex]x^2+6x+13;[/tex]

[tex]D=6^2-4\cdot 1\cdot 13=36-52=-16[/tex]

This expression has no more real zeros (the discriminant is less than 0), it has two complex zeros:

[tex]x_{1,2}=\dfrac{-6\pm \sqrt{-16}}{2\cdot 1}=\dfrac{-6\pm 4i}{2}=-3\pm 2i[/tex]

What number would x be for 2x+1/3 and 2x be the same equation

Answers

Answer:

No solution.

Step-by-step explanation:

2x+1/3=2x

1/3=2x-2x

1/3=0

no solution






































Factor −1/2 out of −1/2x+6.
The factored expression is

Answers

Final answer:

To factor −1/2 out of −1/2x+6, we identify the common factor, divide each term by −1/2, and write the expression as −1/2 times the simplified expression. The result is −1/2(x − 12).

Explanation:

To factor −1/2 out of −1/2x+6, we can think of pulling out the −1/2 as a common factor from both terms in the expression. Here's a step-by-step breakdown:

Identify the common factor in both terms. In this case, the common factor is −1/2.Divide each term by −1/2 (which is the same as multiplying by −2).Write the original expression as the product of the common factor and the simplified expression.

Applying these steps, we get:

−1/2x divided by −1/2 equals x.6 divided by −1/2 equals −12.The factored expression is then −1/2(x − 12).

So, −1/2x+6 factored with −1/2 taken out is −1/2(x − 12).

Diego is 165 cm tall. Andre is 1.7 . tall. Who is taller Diego or Andre?​

Answers

Answer:

Andre is taller.

Step-by-step explanation:

I assume Andre's height is 1.7 m.

Let's convert Andre's height to cm.

1 m = 100 cm

1.7 m = 1.7 * 1 m = 1.7 * 100 cm = 170 cm

Andre is 170 cm tall. Diego is 165 cm tall.

Since 170 cm > 165 cm, Andre is taller.

1.7 m = 170 cm

170 cm > 165 cm

Andre > Diego

Complete the statement below to explain how this model shows that 2/3÷3/4=8/9

Answers

To reciprocal the term for dividing, then multiply both fractions and get the solution to model  2/3 ÷ 3/4 = 8/9.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

The numeral model is given in the question following:

⇒ 2/3 ÷ 3/4 = 8/9

According to the given question, the required solution would be as:

Find the reciprocal in this situation to divide by a fraction:

3/4 divided by 2/3

This would be: 2/3 x 4/3

When you multiply the components, you get 8/9.

Thus, to reciprocal the term for dividing, then multiply both fractions and get the solution.

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Final answer:

To show that 2/3 divided by 3/4 equals 8/9, we multiply 2/3 by the reciprocal of 3/4, which is 4/3, yielding the answer 8/9. This illustrates that division by a fraction involves multiplying by its reciprocal.

Explanation:

To explain how the model shows that 2/3 ÷ 3/4 = 8/9, we need to understand division of fractions and the concept of reciprocals. Division of fractions is the same as multiplying by the reciprocal of the divisor. The reciprocal of 3/4 is 4/3. Therefore, to divide 2/3 by 3/4, we multiply 2/3 by 4/3:

(2/3) × (4/3) = 8/9

This demonstrates that dividing by a fraction is equivalent to multiplying by its reciprocal. We can also use familiar scenarios to rationalize the answer. For instance, we know that half of one half (1/2 × 1/2) equals one quarter (1/4) and this helps us understand the process - we are scaling a number by another when we multiply fractions.

When discussing multiplication and division of fractions, it is useful to remember that these operations are fundamentally linked; division is essentially multiplication by a reciprocal. Hence, dividing 2/3 by 3/4 is the same as multiplying 2/3 by the reciprocal of 3/4, which is 4/3, resulting in 8/9.

Given: △AKM, KD ⊥ AM , AK = 6, KM = 10, m∠AKM = 93º Find: KD

Answers

The length of KD in triangle △AKM, with AK = 6 and KM = 10, and m∠AKM = 93° is 10, since KD is the height of a right triangle and KM is the hypotenuse.

The question asks to find the length of KD in triangle △AKM where KD is perpendicular to AM. Given AK = 6, KM = 10, and m∠AKM = 93º, we can solve for KD using trigonometric ratios.

Since KD ⊥ AM, we have a right triangle △KDM.

We know the hypotenuse KM and angle AKM, so we can use the sine function, where sin(AKM) = opposite/hypotenuse, to find the length of KD. The sine of angle AKM (which is slightly adjusted from 93º to 90º since we are looking for the height in a right triangle) gives us:

sin(90º) = KD/ KM

We know sin(90º) = 1 and KM = 10, so:

1 = KD / 10

Therefore, KD = 10.

Calculate the constant of variation if y varies directly as x. PLEASE GIVE EXPLANATION

Answers

Answer:

[tex]k = - \frac{3}{2}[/tex]

Step-by-step explanation:

If y varies directly with x, then from the relation of direct variation we can write y ∝ x

Now, converting the variation relation to equation relation,

y = kx  ........... (1) {Where k is the constant of variation}

Now, given that at y = - 3, x = 2 and this solution will satisfy the equation (1).

Hence, - 3 = 2k

⇒ [tex]k = - \frac{3}{2}[/tex] (Answer)

Neil made 215 free throws out of 342 attempts. Avid made 358 free throws out of 596 attempts. Who had a better free throw pet attempt rate?

Answers

Answer:

Neil had a better free throw rate.

Step-by-step explanation:

This is because Neil Shot less, but made more.

I hope this helps you!

Final answer:

Neil had a better free throw percentage at approximately 62.87% compared to Avid's 60.07% by calculating the number of successful throws divided by the total attempts and multiplying by 100.

Explanation:

The question involves comparing the free throw rates of two basketball players to determine who had a better free throw percentage. To find the free throw percentage, we divide the number of successful free throws by the total number of attempts and then multiply by 100.

For Neil:

(215 free throws ÷ 342 attempts) × 100 = ~62.87%

For Avid:

(358 free throws ÷ 596 attempts) × 100 = ~60.07%

Neil had a better free throw percentage than Avid as 62.87% is higher than 60.07%.

2. One of the most common mutagens in

our environment, that we are exposed

to everyday we are outside in the

sunlight, is

O UV radiation

infrared radiation

Answers

Answer:

Ultraviolet (UV) radiation.

Step-by-step explanation:

Mutagen is part of genetics, it is chemical or physical agent which are present in atmosphere and causes changes or mutation in the genetic materials i.e. in DNA (these changes can be permanent as well). Example of mutagen are radioactive substances, ultraviolet radiation, etc.

UV radiation is an electromagnetic radiation which is present in sunlight. It is a strong mutagen which is when absorbed by DNA can cause extreme damage, for example, uncontrolled division of skin cell can cause skin cancer, that's the reason why UV radiation is the most common mutagen to which we are exposed to when we are outside in the sunlight.

What are the coordinates of P' when you translate P 4 units to the right and 3 unit down?
(Graph up top)

(A.) (1,5)

(B.) (-5, 2)

(C.) (4, 2)

(D.) (3, 2)​

Answers

Answer:

(3,2)

Step-by-step explanation:

The coordinates of the point P on the given graph is (-1,5).

So, when we translate point P on the graph by 4 units to the right its x-coordinate will change to (- 1 + 4) = 3.

Again, when we translate point P on the graph by 3 units down then its y-coordinate will change to (5 - 3) = 2.

Therefore, the new coordinates of the point P will be (3,2) (Answer)

25 POINTS HELP ME PLEASE ​

Answers

Answer:D

Step-by-step explanation:

Your first solution is to look at the 10x^2y in order to get 8 from ten you would need to subtract 2x^something y and there is only one answer with that

Answer:

yes its D.

Step-by-step explanation:

The hockey team won 8 out of their first 14 games. At the same rate, how many games should they expect to win out of 84

Answers

Answer:

48

Step-by-step explanation:

Answer:

The answer is 48 games out of 84.

Step-by-step explanation:

So first we go through a step by step process.

We have a problem set up that looks something like this.

8/14 = ?/84

Step 1:

So we will first divide 84 by 14, giving us 6.

Step 2:

So 14x6 is equal to 84. Now we have to multiply the top half of the equation by 6. This is 8x6 giving us 48.

Step 3:

Now we substitute the ? with the 48. In the end if playing 84 games the hockey team would win 48 at the rate it was going.

Hope this helped!

Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches
cost $1.20 per pound, and a gallon of milk costs $3.60.
The inequality 1.20x+ 3.60 39.60 models this situation, where x is the
number of pounds of peaches.
HEF
Solve the inequality. How many pounds of peaches can Rammy buy?​

Answers

Answer:

[tex]\large \boxed{\text{5.00 lb}}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcl}1.20x + 3.60 & \leq & 9.60\\1.20x & \leq & 6.00\\x &\leq & \mathbf{5.00}\\\end{array}\\\text{Rammy can buy $\large \boxed{\textbf{5.00 lb}}$ of peaches.}[/tex]

Check:

[tex]\begin{array}{rcl}1.20(5.00) + 3.60 & \leq & 9.60\\6.00 + 3.60 & \leq & 9.60\\9.60 & \leq & 9.60\\\end{array}[/tex]

OK.

The number of pounds of peaches that Rammy can buy is 5 pounds.

Based on the information given in the question, the equation to solve the question will be:

1.20x + 3.60 ≤ 9.60

Collect like terms

1.20x ≤ 9.60 - 3.60

1.20x ≤ 6.00

Divide both side by 1.20

1.20x/1.20 ≤ 6.00/1.20

x ≤ 5.00

Therefore, the number of pounds of peaches that Rammy can buy is 5 pounds

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please answer fast I have been work on it for a week .thank you ​

Answers

Answer:

A) 3x-5=25

I'll try my best on the others

B) x+y^2=18

C)x•6/5=x+4 ????

D).5+x=2-4???

That's all I know :/

Step-by-step explanation:

yeah I'm not sure lol

please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.


solve the equation:

2x + 1-x/4 = 3

or

[tex]2x + \frac{1-x}{4} = 3[/tex]

Answers

The solution of the equation is  [tex]x=\frac{11}{7}[/tex]

Step-by-step explanation:

To simplify an equation of x

Simplify each side of the equationCollect x in side and the numerical terms in the other sideFind the value of x

∵ The equation is [tex]2x + \frac{1-x}{4}=3[/tex]

- Multiply all terms of the equation by 4 to cancel the denominator

 of the 2nd term in the left hand side

∵ The equation is [tex]4(2x) +4 (\frac{1-x}{4})=4(3)[/tex]

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ [tex]x=\frac{11}{7}[/tex]

The solution of the equation is  [tex]x=\frac{11}{7}[/tex]

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6 dollars of 3 cans of tuna in a unit rate

Answers

The unit rate is $2 per can.

Step-by-step explanation:

You divide 6 by 3 which then equals 2.

Answer:

$2.00 per can

Step-by-step explanation:

What is y+2=⅞(x-3) in standard form?

Answers

Answer:

7x - 8y = 37

Explanation:

y+2 = ⅞(x-3) (distribute ⅞ -- x times 7/8, -3 times 7/8)

y+2 = ⅞x - 21/8 (subtract ⅞x from both sides)

y+2-⅞x = -21/8 (subtract 2 from both sides)

y-⅞x = -37/8 <--- result of -21/8 - 2

Multiply both sides by 8 to get ride of fractions

8y - 7x = -37 (rearrange)

-7x + 8y = -37

It's better to have a positive coefficient for x if you can.  So multiply both sides by -1.  That just means changing the sign of every term on both sides, you get

7x - 8y = 37

The correct answer is 7x-8y=37

A copy machine makes copies at a constant rate. The machine can make 80 copies in 2.5 minutes. Write an equation to represent the number of copies, n, that can be made over any time interval,t. ( PLEASE HELP ANSWER THIS QUICKLY!!!!)

Answers

80/2.5 = 32
n = 32t
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Labrador retrievers are black, brown, or yellow. In a cross of a black female with a browrn male, results can be either all black puppies 1/2 black to 1/2 brown puppies, or 3/4 black to 1/4 yellow puppies How many genes must be responsible for these coat colors in Labrador retrievers? Your textbook discusses the neural pathways responsible for instinctual fear responses that occur when you perceive a threatening stimulus. Why does this instinctual fear response take place before you have time to consciously evaluate the stimulus? Select the true statements (more than one) about the characteristics of sensory neurons in the stretch reflex. View Available Hint(s) Select the true statements (more than one) about the characteristics of sensory neurons in the stretch reflex. These sensory neurons typically transmit efferent impulses toward antagonist muscles. These sensory neurons transmit efferent impulses to antagonist muscles. These sensory neurons transmit afferent impulses toward the spinal cord (CNS). When a stretch activates the muscle spindle, these sensory neurons transmit impulses at a higher frequency. These sensory neurons transmit activating impulses via interneurons. Two researchers (A and B) compute a one-sample t test. For both tests, the mean difference between the sample and value stated in the null hypothesis is 5, but the standard error is smaller for Researcher A. Which test is more likely to result in a decision to reject the null hypothesis? In the video, you learned about the evolution of cinder cones and basaltic lava flows. These features are formed by volcanic eruptions when magma is erupted at the surface of the Earth. The photo in Part A shows Red Hill, located in central New Mexico. This site shows a distinct red cinder cone and adjacent lava flow. The basaltic lava flow has been broken up by processes of weathering and erosion. What is important when looking at historical sources? Which of the following statements about mutations is false? View Available Hint(s) Which of the following statements about mutations is false? An addition mutation results in an added base in the DNA sequence. A knock-out mutation results in a total absence of the mutated protein. A deletion mutation results in the loss of a base in the DNA sequence. Addition and deletion mutations disrupt the primary structure of proteins. The client receives multiple drugs for treatment of tuberculosis. The nurse teaches the client the rationale for multiple drug treatment, and evaluates learning as effective when the client makes which statement?1. "Treatment for tuberculosis is complex, and multiple drugs must be continued for as long as I am contagious."2. "Multiple drugs are necessary because the bacteria are likely to develop resistance to just one drug."3. "Multiple drug treatment is necessary for me to be able to develop immunity to tuberculosis."4. "Current research indicates that the most effective way to treat tuberculosis is with multiple drugs." I am preparing for a test in psychology, and I tell you, "Im sure that Im going to fail. Im going to study all night, and Ill just be happy with anything higher than a C." You are preparing for the same test and you say, "Oh, come on. Weve been going to lecture and keeping up with the readingwe just need to review everything tonight and Im sure well do well on the test." What would research concerning pessimistic and optimistic strategies predict about our out-comes? The human genome contains a family of genes that code for different forms of myosin, which are expressed in different cell types and have somewhat different functions. Where in the sequence of each gene would you expect to see differences among them? Which expression is equivalent to 13(6x+15)3 Would you expect the nonbonding electron-pair domain in NH3 to be greater or less in size than for the corresponding one in PH3? * greater * lesser Pacific Rim Co. sells outdoor furniture, garden and patio accessories, baskets, floral arrangements, and pottery to retail garden nurseries. Its salespeople are known as_________.a.distributor salespeople.b.runners.c.retail salespeople.d.manufacturers' agents.e.trade salespeople. For a corporation to be held criminally liable for the acts of an employee, the prosecutor does not have to prove: a. that the employee was acting within the scope of his/her employment b. the employee was acting with the purpose of benefiting the corporation c. the act was imputed to the corporation d. the act is not punishable only by prison time e. that the employee was receiving a benefit from the criminal act A company's Cash account shows an ending balance of $4,600. Reconciling items included a bookkeeper error of $130 (a $500 check recorded as $630), two outstanding checks totaling $830, a service charge of $25, a deposit in transit of $250, and interest revenue of $30. What is the adjusted book balance? A. $5,180 B, $4,020 C. $4,465 D. $4,735 ________ delusions involve the (false) belief that other people or agencies are plotting to harm the person. A) hallucination B) paranoid C) somatic D) grandiose bob bought bill an item that cost 193. bill gave him 200. bob then took 100 out of the 200 to buy bill an item for 93. how much does bill owe Bob totally? 24. Suppose you throw two fair number cubes. What is the probability that the sum of the results of the throw is 4,5, or 6? Show your work and explain. Calculating Economic Value Added East Mullett Manufacturing earned operating income last year as shown in the following income statement: Sales $630,000 Cost of goods sold 380,000 Gross margin $250,000 Selling and administrative expense 174,400 Operating income $ 75,600 Less: Income taxes (@ 40%) 30,240 Net income $ 45,360 Total capital employed equaled $381,000. East Mullett's actual cost of capital is 8 percent. Required: Calculate the EVA for East Mullett Manufacturing. $ This odor is created when at least 30 odorants of equal intensity that span olfactory physiochemical and psychological (perceptual) space are mixed. The resultant odor percept is the same as every other mixture of 30 odorants meeting the span and equivalent intensity criteria, even though the various mixtures do not share any common odorants.a. Olfactory whiteb. Olfactory redc. Olfactory blackd. White noise odor