what dose 24/15 equals to?

Answer:

A triangle is equilateral if all three angles are same. but here two angles are 64° but third angle is 52°. so, Yin is incorrect.

Step-by-step explanation:

x = 19,

Putting value of x to find m∠ABC and m∠ACB

m∠ABC = (4x – 12)°

m∠ABC = (4(19) – 12)°

m∠ABC = (76 – 12)°

m∠ABC = 64°

m∠ACB = (2(19) + 26)°

m∠ACB = (38 + 26)°

m∠ACB = 64°

now we know sum of angles of triangle is 180°. We can find the measure of third angle.

180 = 64+64 +x

x= 180 - 64 - 64

x = 52°

A triangle is equilateral if all three angles are same. but here two angles are 64° but third angle is 52°. so, Yin is incorrect.

Sample Response: No, Yin is not correct. If

x = 19, the measure of angle ABC = 4(19) – 12 = 64. Therefore, the two base angles measure 64°. An equilateral triangle is equiangular, so each angle would have to measure 60° because there are 180° in a triangle.

What did you include in your response? Check all that apply.

Yin is not correct.

The measure of the congruent base angles is 64°.

The measures of the angles in an equilateral triangle are 60°.

Answer: True

Step-by-step explanation: 20% can also be written as 0.2 and if you know the number then you would multiply it by 0.2, then if you needed to add 11 that is exactly how you would write that equation

Answer:

-4x^2-6x+6

Step-by-step explanation:

We are asked to subtract g from f.

So the problem is:

[8x^2-2x+3]-[12x^2+4x-3]

So I'm going to distribute and write without [].

8x^2-2x+3-12x^2-4x+3

Now I'm going to pair up any like terms:

8x^2-12x^2-2x-4x+3+3

Simplifying:

-4x^2-6x+6

Answer:  The correct option is

(C) [tex]h(x)=-4x^2-6x+6.[/tex]

Step-by-step explanation:  We are given the following two functions :

[tex]f(x)=8x^2-2x+3,~~~~~g(x)=12x^2+4x-3.[/tex]

We are to find the value of h(x) if h(x) = f(x) - g(x).

To find the value of h(x), we must subtract the expression of g(x) from the expression of f(x).

The value of h(x) can be calculated as follows :

[tex]h(x)\\\\=f(x)-g(x)\\\\=(8x^2-2x+3)-(12x^2+4x-3)\\\\=8x^2-2x+3-12x^2-4x+3\\\\=-4x^2-6x+6.[/tex]

Thus, the required value of h(x) is [tex]-4x^2-6x+6.[/tex]

Option (C) is CORRECT.

Answer:

x=1.04 i bet u thats right no joke hope i helped ;)

Step-by-step explanation:

Answer:

C. y-10=2(x-1)

Step-by-step explanation:

We have two points on the line, we can find the slope

m = (y2-y1)/(x2-x1)

   = (10-2)/(1--3)

   = 8/(1+3)

   =8/4

  =2

The slope is 2

We can use point slope form using the point (1,10)

y-y1 = m(x-x1)

y-10 = 2(x-1)

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-3, 2) and (1, 10). Substitute:

[tex]m=\dfrac{10-2}{1-(-3)}=\dfrac{8}{4}=2[/tex]

Using the point (-3, 2):

[tex]y-2=2(x-(-3))\\\\y-2=2(x+3)[/tex]

Using the point (1, 10):

[tex]y-10=2(x-1)[/tex]

Answer:

look at the picture attached

Answer:

y-7 = -5(x+2)

or

y = -5x-3

Step-by-step explanation:

We can use the point slope form of the equation

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y-7 = -5(x--2)

y-7 = -5(x+2)

If we want the equation in slope intercept form

Distribute

y-7 = -5x-10

Add 7 to each side

y-7+7 = -5x-10+7

y = -5x-3

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

We know that the slope of the line (m)  will be -5

y = -5x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(-2, 7)

7 = -5(-2) + b

7 = 10 + b

-3 = b

y = -5x - 3

Hope this helped!

~Just a girl in love with Shawn Mendes

The total distance from Chicago to New Orleans is calculated by adding the distances from Chicago to Memphis and then from Memphis to New Orleans, which totals to 921.2 miles.

In order to calculate the total distance from Chicago to New Orleans, we simply need to add the given distances. The distance from Chicago to Memphis is 527.4 miles and from Memphis to New Orleans is 393.8 miles. Hence, the total distance from Chicago to New Orleans would be 527.4 miles + 393.8 miles = 921.2 miles. So, the total travel distance from Chicago to New Orleans is 921.2 miles.

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Answer:

The smallest integer = 49

Step-by-step explanation:

It is given that, the sum of five consecutive odd integers is 265

To find the smallest integer

Let 'x' be the smallest odd  integer, the other integers are,

(x + 2), (x + 4), (x + 6), and (x + 8)

x + x + 2 + x + 4 + x + 6 + x + 8 = 265

5x + 20 = 265

5x = 245

x = 245/5 = 49

Therefore the smallest integer = 49

Answer:

49,50,51,52,53

Step-by-step explanation:

Answer:

421

Step-by-step explanation:

Margin of error = E = 0.04

Confidence Level = 90%

z value associated with this confidence level = z = 1.645

Previous estimate of population proportion = p = 0.54

q = 1 - p = 1 - 0.54 = 0.46

The formula of Margin of Error for population proportion is:

[tex]E=z\sqrt{\frac{pq}{n}}[/tex]

Here, n is the sample size.

Re-arranging the equation for n and using the values we get:

[tex]n=(\frac{z}{E})^{2} \times pq\\\\ n = (\frac{1.645}{0.04})^{2} \times 0.54 \times 0.46\\\\ n = 421[/tex]

Thus the minimum sample size required to estimate the proportion of adults who have high speed internet access is 421

Answer:

x=-1, y = 2, z = 1

Step-by-step explanation:

We are given with three equations and we are asked to find the solution to them.

2x + 2y + 3z = 5  ------------- (A)

6x + 3y + 6z = 6  --------------(B)

3x + 4y + 4z = 9 ---------------(C)

Step 1 .

multiplying equation (A) by 3 and subtracting B from the result

6x + 6y + 9z = 15

6x + 3y + 6z = 6

-     -       -       = -

_______________

3y+3z=9

y+z=3

y=3-z  ----------------- (C)

Step 2.

Substituting this value of y in equation B and C

6x + 3(3-z) + 6z = 6  

6x+9-3z+6z=6

6x+3z=-3

2x+z=-1 ----------------(D)

3x + 4(3-z) + 4z = 9

3x+12-4z+4z=9

3x=-3  

x=-1 ------------ (E)

Putting this value f x in (D)

2(-1)+z=-1

-2+z=-1

z=1

Now we put this value of z in equation (C)

y=3-z

y=3-1

y=2

Hence we have

x=-1, y=2 and z=1

Answer:

Step-by-step explanation:

[tex]4x^2+3x=24-x\qquad\text{subtract 24 from both sides}\\\\4x^2+3x-24=-x\qquad\text{add}\ x\ \text{to both sides}\\\\4x^2+4x-24=0\qquad\text{divide both sides by 4}\\\\x^2+x-6=0\\\\x^2+3x-2x-6=0\\\\x(x+3)-2(x+3)=0\\\\(x+3)(x-2)=0\iff x+3=0\ \vee\ x-2=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3\\\\x-2=0\qquad\text{add 2 to both sides}\\x=2[/tex]

The given equation, 4·x² + 3·x = 24 - x, can be simplified and factorized

to give the solution as; -3, 2

The solution to the given equation, 4·x² + 3·x = 24 - x, is the point of

intersection of the parabola, 4·x² + 3·x, and the line, 24 - x

The solution is therefore, found as follows;

4·x² + 3·x = 24 - x

4·x² + 3·x - (24 - x) = 0

4·x² + 4·x - 24 = 0

Dividing by 4, gives;

4·(x² + x - 6) = 0

x² + x - 6 = 0 ÷ 4 = 0

Factorizing, the above quadratic equation, we have;

(x + 3) × (x - 2) = 0

The solution of the equation is therefore;

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The graph of the given equation is the line that passes through (0,-1) and (3/2,0) and whose slope is m = 2/3 and this can be determined by using the slope-intercept form of the line.

Given :

Equation -   [tex](y -1) = \dfrac{2}{3}(x-3)[/tex]

The following steps can be used to draw the graph of the given equation:

Step 1 - Write the given equation.

[tex](y -1) = \dfrac{2}{3}(x-3)[/tex]

Step 2 - Simplify the above equation.

[tex]y = \dfrac{2}{3}x - 2 + 1[/tex]

[tex]y = \dfrac{2}{3}x - 1[/tex]

Step 3 - Draw the graph of (y = x).

Step 4 - Find the y-intercept and the slope of the above equation.

c = -1

[tex]m = \dfrac{2}{3}[/tex]

Step 5 - So, the graph of the given equation is the line that passes through (0,-1) and (3/2,0) and whose slope is m = 2/3.

For more information, refer to the link given below:

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The graph of the equation is a line that passes through the origin (0, 0) and has a slope of 2/3.

The given equation is y - 1 = ⅓(x - 3). To graph this equation, we can start by rearranging it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

First, let's isolate y by adding 1 to both sides of the equation:

y = ⅓(x - 3) + 1

Now, simplify the expression on the right side:

y = ⅓x - 1 + 1

y = ⅓x

So, the equation y - 1 = ⅓(x - 3) represents a line with a slope of ⅓ and a y-intercept of 0. To graph this line, we can plot the y-intercept at (0, 0) and use the slope to draw the line.

The graph of this equation is a line that passes through the origin (0, 0) and has a slope of ⅓. Any point on this line can be represented as (x, ⅓x).

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Answer:

92

Step-by-step explanation:

The total Score is 85 + 92 + 79 + x = 4 * 87

The total Score needed is 4 * 87 = 348

So to get that score we need to add the other scores up

256 + x

which equals the total of the 4 tests.

256 + x = 348          

Subtract 256 from both sides.

256 - 256 + x = 348 - 256

x = 92 Pretty high, but doable.

Find the GCD (or HCF) of numerator and denominator

GCD of 18 and 20 is 2

Divide both the numerator and denominator by the GCD

18 ÷ 2

-----------

20 ÷ 2

Reduced fraction:

9

----

10

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{What's }\huge\dfrac{18}{20}\huge\text{ simplified?}[/tex]

[tex]\huge\text{Both terms have the GCF}[/tex] [tex]\huge\text{(Greatest Common Factor) of 2}[/tex]

[tex]\huge\text{So, divide both numbers by 2.}[/tex]

[tex]\huge\dfrac{18\div2}{20\div2}[/tex]

[tex]\huge\text{18}\huge\div\huge\text{2 = 9}[/tex]

[tex]\huge\text{9 is the numerator (top \#)}[/tex]

[tex]\huge\text{20}\huge\div\huge\text{2 = 10}[/tex] [tex]\huge\text{10 is the denominator (bottom \#)}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: }\huge\dfrac{9}{10}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

B, 14.6 units.

Step-by-step explanation:

The answer is be because:

the diameter = radius times 2

radius= 7.3

diameter=7.3*2

              =14.6

Therefore the answer is, B

Answer: B. 14.6 units

Step-by-step explanation: The diameter of a circle is two times the length of the radius. So multiply the radius by 2.

7.3 x 2 = 14.6

The diameter of the circle is 14.6 units.

Answer:

Boxplot A

Step-by-step explanation:

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

58, 50, 48, 46, 44, 42, 40, 38, 36, 34, 32, 30, 28, 26, 24, 22, 14.

We will write in ascending order:

14 ,22 ,24 ,26 ,28,30 ,32 ,34, 36 ,38, 40, 42 ,44 ,46 ,48,50,58.

Since there are 17 terms in the above data.

So, Median would be 36.

As box plot shows the middle point of the data i.e. median.

In box plot A it shows the correct median at the middle i.e. 50% of the scores.

Hence, option 'A' is correct.

The last gas station she stopped at she got 6.6 gallons and paid $20.39

If they lower the price by 6%, that means she would pay 94% of the original amount ( 100% - 6% = 94%)

Multiply the amount she paid by 94%:

20.39 x 0.94 = 19.17

She would pay $19.17 total.

Now divide that by the number of gallons bought:

19.17 / 6.6 = $2.90 per gallon ( Rounded to the nearest cent).

Answer:

[tex]\tt x^2+3xy+4y^2[/tex]

Step-by-step explanation:

[tex]\tt(x-2y)^2+7xy\\\\=x^2-4xy+4y^2+7xy\\\\=x^2+3xy+4y^2[/tex]

Answer:

[tex] x^2 + 3xy + 4y^2 [/tex]

Step-by-step explanation:

[tex] (x - 2y)^2 + 7xy = [/tex]

[tex] = (x - 2y)(x - 2y) + 7xy [/tex]

[tex] = x^2 -2xy - 2xy + 4y^2 + 7xy [/tex]

[tex] = x^2 + 3xy + 4y^2 [/tex]

Answer:

2x(x + 3)(2x - 1)

Step-by-step explanation:

Given

4x³ + 10x² - 6x ( factor out 2x from each term )

= 2x(2x² + 5x - 3)

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 3 = - 6 and sum = + 5

The factors are + 6 and - 1

Use these factors to split the x- term

2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )

2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

(x + 3)(2x - 1), hence

2x² + 5x - 3 = (x + 3)(2x - 1)

Hence

4x³ + 10x² - 6x = 2x(x + 3)(2x - 1)

Answer:

B

Step-by-step explanation:

Answer:

You can not break that down any further if x does not equal anything and the equation is not equal to anything.

Step-by-step explanation:

Answer:

red apples

Step-by-step explanation:

cause for 1 pound, a red apple will cost 2 dollars, while for 1 pound, a green apple will cost less

Answer:

Red apples

Step-by-step explanation:

Since the cost of red apples is given by the equation y = 2x

where x = is number of pounds of red apples

Therefore clearly it can seen from the equation that the slope of this equation will be more steeper than the slope of the cost of the cost the green apples.

Now since the slope is more steep, therefore we can conclude that the red apples will cost more than the green apples for per pound of apples.

Thus, red apples will cost more per pound than green apples.

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 12x + 7 ← is in this form

with m = 12 and c = 7

y = 12x + 2 ← is also in this form

with m = 12 and c = 2

Since the slopes are equal the lines are parallel

c = 7 → c = 2 is a vertical translation of 5 units down

In comparison the line y = 12x + 2 is parallel to y = 12x + 7

and translated < 0, - 5 >

Answer:

x=61

Step-by-step explanation:

In a triangle all measure add up to 180 degrees, therefore

52+67=119

180-119=61

This means we have 61 degrees remaining to complete the triangle

Answer:

[tex]x=61^{\circ}[/tex]

Step-by-step explanation:

We have been that B is 67 degrees and angle C is 52 degrees. We are asked to find the value of x of angle A.

We will use angle sum property to solve our given problem.

Angle sum property of triangle states that sum of all angles of a triangle is equal to 180 degrees.

Using angle sum property, we can set an equation as:

[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]

Upon substituting our given values in above equation, we will get:

[tex]x+67^{\circ}+52^{\circ}=180^{\circ}[/tex]

[tex]x+119^{\circ}=180^{\circ}[/tex]

[tex]x+119^{\circ}-119^{\circ}=180^{\circ}-119^{\circ}[/tex]

[tex]x=61^{\circ}[/tex]

Therefore, the value of x is 61 degrees.

Answer:

C .The initial amount of money placed in the savings account

Step-by-step explanation:

f(x) = 3,267(1 + 0.02)^x

This is in the form

y = a b^x

where a is the initial amount

b is the growth rate

x is the time

3267 is the initial amount

1.02 is the growth rate, so it grows by .02 or 2 percent

and x is the time

The function f(x) = 3,267(1 + 0.02)* represents the amount of money in a savings account where x represents time in years. What does the 3,267 represent?

Answer:

C .The initial amount of money placed in the savings account

Answer: 5.099

Step-by-step explanation:

technically, 5.099 is 5.10

10 is bigger than 13 so

5.13 > 5.10

Answer: the actual answer is triangle b and triangle f

Triangle B and triangle F are not congruent with any other given triangles

So we are left with triangle B and triangle F.

The size and shapes of these triangles does not matches with any other triangles.

So  triangle B and triangle F are not congruent with any other given triangles.

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Answer:

The center of this circle is at (6, 1).

Step-by-step explanation:

Rewrite x^2+y^2-12x-2y+12=0 by grouping like terms.  Then:

x^2+y^2-12x-2y+12=0 becomes x^2 - 12x +y^2 - 2y + 12=0.

Next, complete the squares:

x^2 - 12x + 36 - 36 + y^2 - 2y + 1 - 1 + 12 = 0.

Rewriting the two perfect squares as squares of binomials, we get:

(x - 6)^2 - 36 + (y - 1)^2 - 1 + 12 = 0

Moving the constants to the right side:

(x - 6)^2     + (y - 1)^2   = 36 + 1 - 12 = 25

Then the desired equation is:

(x - 6)^2 + (y - 1)^2 = 5^2.  The center of this circle is at (6, 1).

Answer:

C. supplementary angles

D. straight angle

The given angles ABD and DBC lies on a straight line. So they are straight angle.

We know that the sum of the straight angles is = 180 degrees. If the sum of two angles is 180 degrees, then they are also called supplementary angles.

It means the shown angles are also supplementary angles.

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Answer:

D and C

Step-by-step explanation:

To estimate the age of the skull, we can use the concept of radioactive decay of carbon-14. We can set up an equation to find the original amount of C-14, and then calculate the number of half-lives that have occurred to determine the age of the skull.

The age of the skull can be estimated using the concept of radioactive decay of carbon-14 (C-14). The half-life of C-14 is approximately 5730 years, which means that after 5730 years, half of the original amount of C-14 will remain. Since the skull contains 32% of its original amount of C-14, we can estimate that 68% has decayed. To find the age of the skull, we can set up the following equation:

0.68 * original amount = current amount

Solving for the original amount gives us:

original amount = current amount / 0.68

Now, we just need to divide the age of the skull by the half-life of C-14 to find the number of half-lives that have occurred. We can then multiply this by 5730 years to get the approximate age of the skull to the nearest year.