find the decimal that is equivalent to 7/12​

Answer: The answer would be 3x^2-35x+50

Answer:

3x^2-35x+50 is the answer

Step-by-step explanation:

If you use the FOIL method this will be a breeze.

Answer:

Angle HAB and Angle FAE are congruent angles

Step-by-step explanation:

we know that

Two angles are supplementary if their sum is equal to 180 degrees

In this problem

m∠FAH+m∠HAB=180°  ----> by a linear pair

Remember that

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. A linear pair of angles must add up to 180 degrees

m∠FAH+m∠FAE=180°  ----> by a linear pair

therefore

m∠HAB=m∠FAE -----> by vertical angles

Angle HAB and Angle FAE are congruent angles

Answer:

<HAB is congruent with <FAE

NO CAP

Answer:

A. The total cost of the small popcorns

Step-by-step explanation:

Let us suppose Trinity is going to the movies with [tex]x[/tex] number of friends, we know she will pay for only her own movie ticket hence cost of movie ticket will be a constant (say [tex]a[/tex]) for her expense and cost of popcorn will be price of one popcorn (say [tex]b[/tex]) multiplied by number of friends.

considering the situation, her expense will be given by the function-

[tex]f(x) = a + bx[/tex]

comparing this with the given function  [tex]8.5 + 6x[/tex], [tex]6x[/tex] will be the total cost of small popcorns.

Answer:

[tex]x = \frac{2}{3} [/tex]

Step-by-step explanation:

3x=6x-2

Subtract '3x' from both sides

0=3x-2

Add '2' to both sides

2=3x

Divide by 3

x=2/3

If you need the answer in decimal form divide 2 by 3

The value of x is 2/3.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

Given:

3x = 6x - 2

3x-6x= -2

-3x= -2

x= -2/-3

x= 2/3

Hence, the value of x is 2/3

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Answer: 2, 6, 10, 14, 18, 22, 26, 30  have an equal number of odd and even factors.

Step-by-step explanation:

Since they want the same number of even and odd factors for numbers 1-30 then we can list the factors of only even numbers from 1-30

List factors of even  numbers 1-30

2,  4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

2)  1,2

4) 1,2,4

6) 1, 2, 3 6

And so forth for the rest of the numbers

you will notice that you add 4 each time untill you get to thirty which are numbers that have an equal number of odd and even factors.

Answer:

[8 + 113 • 5] - 8 + 11 =

[8 + 565] - 8 + 11 =

573 - 8 + 11 = 576

Answer:

On the 30th day

Step-by-step explanation:

What are the factors of 10?

10,20,30,40,50

What are the factors of 3?

3,6,9,12,15,18,21,24,27,30

Which numbers are the same on both?

(Hint which is the first number on both factors :))

Lauren will visit both the park and the library on the same day again after 30 days. This is because the least common multiple (LCM) of 3 and 10 is 30.

The subject of this question is Mathematics, particularly dealing with the concept of least common multiple (LCM). The question is asking when will Lauren visit the park and the library on the same day again. Given that Lauren goes to the park every 3 days and the library every 10 days, the day when she'll do both again is the least common multiple of 3 and 10.

The least common multiple (LCM) is the smallest multiple that is exactly divisible by every member of a set of numbers. In this case, we need to determine the LCM of 3 and 10. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... The multiples of 10 are 10, 20, 30, 40, .... As we can see, the smallest number that appears in both lists is 30. Therefore, Lauren will visit both the park and library on the same day again after 30 days.

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Answer:

x = 10

Step-by-step explanation:

Begin by factorising the numerator/ denominator of the left side

x² - 14x + 49 = (x - 7)² ← perfect square

x² - 49 = (x - 7)(x + 7) ← difference of squares

Thus left side becomes

[tex]\frac{(x-7)^2}{(x-7)(x+7)}[/tex] → x ≠ ± 7

Cancel (x - 7) on numerator/denominator, leaving

[tex]\frac{x-7}{x+7}[/tex]

Returning to the equation, that is

[tex]\frac{x-7}{x+7}[/tex] = [tex]\frac{3}{17}[/tex] ( cross- multiply )

17(x - 7) = 3(x + 7) ← distribute both sides

17x - 119 = 3x + 21 ( subtract 3x from both sides )

14x - 119 = 21 ( add 119 to both sides )

14x = 140 ( divide both sides by 14 )

x = 10

Answer:

75.2 °F

Step-by-step explanation:

(24°C × 9/5) + 32 = 75.2°F

Answer:

(-1,-5)

Step-by-step explanation:

Starting at (0,0), we perform the first translation:

T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.

From there we do the second translation: T<-6,2>

which means: 6 units to the left (in the horizontal direction) which takes us to  "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.

Therefore the new location is (-1,-5)

Answer:

The inequality that represents the solution of 8(6x − 7) < 5(9x − 4) is x < 12.

Step-by-step explanation:

Given 8(6x − 7) < 5(9x − 4)⇒ 48x - 56 < 45x - 20⇒ 48x - 45x < -20 + 56

⇒3x< 36 ⇒ x<36/3 ⇒ x<12.

Inequalities help us to compare two unequal expressions. The correct option is B.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be solved as,

8(6x − 7) < 5(9x − 4)

48x − 56 < 45x − 20

48x − 45x < 56 − 20

3x < 36

x < 36/3

x < 12

Hence, the inequality that represents all the solutions of 8(6x − 7) < 5(9x − 4) is x < 12.

The complete question is:

Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)? A. x > 12 B. x < 12 C. x > 20 D. x < 20

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Answer:

17.5

Step-by-step explanation:

so 4 cans is 2.5$ each so i did 2.5 times 7 to see how much it would be for 7 cans

To find the cost of 7 cans of fruit cocktails, you first determine the price per can at $2.50 by dividing the cost for 4 cans ($10) by 4. Multiplying the price per can by 7 gives the total cost, which is $17.50.

To find the price of 7 cans of fruit cocktails when 4 cans are sold for $10, we need to calculate the price per can and then multiply by the desired number of cans.

Step-by-step calculation:

Therefore, 7 cans of fruit cocktails will cost $17.50.

The problem involves determining the area of material purchased, comparing the quantities, and solving for the width given certain conditions. After setting up and solving the equations, it was found that the width of the material is 3 metres and the total amounts of material purchased by Annie and Bronwyn are 4 and 15 square metres respectively.

To solve the problems related to the area of material purchased by Annie and Bronwyn, follow these steps:

Area of material: Given the width of the material is (x + 2) metres, Annie buys (x + 3) metres long and Bronwyn buys 5 metres long. The area for each piece of material purchased is the product of the width and length. So, Annie's material area is (x + 2)(x + 3) square metres, and Bronwyn's material area is 5(x + 2) square metres.

More material: To express how much more material Annie has than Bronwyn, subtract Bronwyn's area from Annie's area, which gives us ((x + 2)(x + 3) - 5(x + 2)) square metres.

Factorisation: The expression for how much more material Annie has than Bronwyn can be factorized as (x + 2)(x - 2) square metres after simplifying.

Width of material: If Annie has 5 square metres more material than Bronwyn, we solve the equation (x + 2)(x - 2) = 5. Solving this quadratic equation gives x = 1, the width of the material is therefore 3 metres.

Total material: With x = 1, Annie purchases 4 square metres (since 3 x 1 + 3) and Bronwyn purchases 15 square metres (since 5 x 3). So, Annie has 4 square metres of material and Bronwyn has 15 square metres.

Answer:

$3,113,34

Step-by-step explanation:

The formula for calculating compound interest is

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where

A=the future total value, i.e, the money you will have after t years.

P=the initial deposit.

r=the annual interest rate.

n=the number of times that interest is compounded per year.

t=the number of years the money is saved.

In our case

A is unknown and we will have to calculate it with the formula.

P=$12,000

r=2.9%=0.029

n=365 because the interest is compounded daily and there are 365 days in a year

t=8 years

Applying the formula we get

[tex]A=12,000(1+\frac{0.029}{365})^{365\times8}[/tex]

[tex]A=12,000(1+\frac{0.029}{365})^{2,920}[/tex]

[tex]A=12,000(1.000079)^{2,920}[/tex]

So A=15,113.336

This is the amount of money you would have after 8 years.

Subtracting the initial deposit from this amount we obtain the interest earned I

I=15,113.336-12,000=3,113.336

Rounded to the nearest hundreth

I=$3,113,30

Answer:

61

Step-by-step explanation:

if it dropped 6 degrees, you would add 6 to the current temperature to get 61 (55+6=61)

Answer:

61 degrees

Step-by-step explanation:

it is 55 degrees now. it had dropped 6 degrees in an hour. since it went down and subtracted 6 degrees, we would have to do the other order of operation which in this case is addition. 55 plus 6 is 61. ( message me if you need more help)

Reggie can make 120 distinct complete meals, each consisting of an entrée, a  side dish, and a dessert.

This is a rather simple and straightforward question.

If Reggie can make

5 Entrees

4 Side dishes

6 Desserts,

Then she can make 5 × 4 × 6 different distinct dishes.

5 × 4 × 6 = 120

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Answer:

[tex]206[/tex]

[tex]2 \times |108 - 5|=\\ 2 \times 103 = \\ 206 [/tex]

Answer: 206

Answer:

Answer is = 6

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

There is no value that x cannot be for linear equations.

Thus, the domain is ALL REAL NUMBERS.

CHOICE B.

Answer:

B all real numbers

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3 million

2 hundred thousand

5 ten thousand

4 thousand

1 hundred

0 ten

7 one

Answer:

She uses 729 beads for 5 strings.

Step-by-step explanation:

1 string :  3 × 3 = 9 beads

2 string : 9 × 3 = 27 beads

3 string : 27× 3 = 81  beads

4 string : 81 × 3 = 243 beads

5 string :  243 × 3 = 729 beads

Answer:729

Step-by-step explanation:

1) 3×3=9

2) 9×3=27

3) 27×3=81

4) 81×3=243

5) 243×3=729

Answer:

The slope of the ladder to the building is 2/3

Step-by-step explanation:

* Lets explain how to find the the slope of the ladder

- A ladder leaning against the side of a building touches the building

 at a point 12 meters from the ground

* That means the height of the ladder (h) from the ground is 12 m

- The foot of the ladder is 18 meters from the base of the building

* That means the horizontal distance (d) on the ground between the

  ladder and the building is 18 m

- The slope of the ladder (m) , the height of the ladder (h) and the

  horizontal distance on the ground from the base of the ladder to

  the base of the building (d) can form a right triangle

∵ The slope of the ladder = the vertical distance/horizontal distance

∵ The vertical distance h is 12 meters

∵ the horizontal distance d is 18 meters

∴ The slope of the ladder [tex]m=\frac{12}{18}=\frac{2}{3}[/tex]

∴ The slope of the ladder to the building is 2/3

Answer:

2/3

Step-by-step explanation:

Its just as easy as it looks. Its 12/18, or Rise 12 and Run 18.

Solving would get you 2/3, so your slope is 2/3

Answer:

19/48, 7/16, 0.5, 0.75

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The mean is measured as

mean = [tex]\frac{score}{count}[/tex]

After 5 tests the mean is 84, that is

[tex]\frac{score}{5}[/tex] = 84 ( multiply both sides by 5 )

score = 420

let the sixth test score be x, then

[tex]\frac{420+x}{6}[/tex] = 85 ( multiply both sides by 6 )

420 + x = 510 ( subtract 420 from both sides )

x = 90

Require to score 90 on the sixth test

Answer:

I think the answer may be 12 minutes

Answer:

I think it is 12 mins

Answer:

DNE (dose not exist)

Step-by-step explanation:

what you would do is just set both functions equal to each other and then solve for x. so set x+109=x+89. then get you numbers on one side and your x's on one side. so subtract x from on side getting x-x+89=109 now you subtract 89 from both sides getting x-x=109-89 getting 0= 20 0 dosen not = 20 so you would have zero there is no value that you could plug in for x to get them both equal

Answer:

C. 2.6666666666666

Step-by-step explanation:

You can estimate.

We know that 3 * 2 = 6.

So, we know that The decimal is at least 2.

We can cancel out B and D.

2.6 * 3 = 7.18

So, we can cancel out A.

Just to make sure, let's try C.

2.6666666666666 * 3 = 7.999999...

This is the closest answer to 8.

So, our answer is C.

C. 2.6666666666666

Check the picture below.

sure, since y = 0 is a line, in essence the x-axis really, that goes to infinity, so we can draw an infinite amount of perpendicular lines on it all the way.

The equation for a line perpendicular to the line y=0 is x=a, where a is the x-coordinate of the point where the line intersects the x-axis. There are infinitely many lines that are perpendicular to the line y=0. For example, the line x=3.

The equation for a line perpendicular to the line y=0 is simply the equation for a vertical line passing through any point on the x-axis. A vertical line is defined by the equation x = a, where a is the x-coordinate of the point where the line intersects the x-axis.

Since the line y=0 is also the x-axis, any vertical line passing through a point on the x-axis will be perpendicular to it. Therefore, there are infinitely many lines that are perpendicular to the line y=0.

For example, the equation for a line perpendicular to y=0 passing through the point (3,0) would be x=3.

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Answer: The answer would be 2 1/2

Step-by-step explanation:

first you convert the mixed number into an improper fraction which would be 25/8

then you multiply 4/5 with 25/8

which equals 100/40

finally you simplify and you get 2 1/2

Answer:

so first you would make 3 1/8 into a number like the frist one then change them into common denominators then multilpy.I hope it helps

Answer:

radius^2 = 3 * Volume / (PI * height)

radius^2 = 3 * (142 cc / 3.14159265 * 8.5)

radius^2 = 3 * (142 cc / 26.703537525 )

radius^2 = 15.9529425493

radius = 4.0 cm

Step-by-step explanation:

Final answer:

The radius of a cone-shaped paper cup with a volume of 142 cubic centimeters and height of 8.5 centimeters is approximately 4 centimeters when rounded to the nearest centimeter.

Explanation:

To determine the radius of a paper cup that is a right circular cone with a given volume, we will use the formula for the volume of a cone V = (1/3) πr²h. The volume, V, is provided as 142 cubic centimeters, and the height, h, is 8.5 centimeters.

Rearrange the formula to solve for the radius, r, as follows:

Divide both sides by π and 8.5 to isolate ¹⁄₃r² on one side.

Multiply both sides by 3 to get rid of ¹⁄₃.

Take the square root of both sides to solve for r.

Once we have the value of r, we round it to the nearest centimeter as the question asks for an approximation to the nearest whole number.

Let's perform the calculation:

V = (1/3)πr²(8.5) => 142 = πr²(8.5/3)

142 = (π × 8.5/3)r²

142 / (π × 8.5/3) = r²

r² ≈ 142 / (3.14159 × 8.5/3)

r² ≈ 15.91549431

r ≈ √15.91549431 ≈ 3.99 cm

Round r to the nearest centimeter: r ≈ 4 centimeters