MATHEMATICS MIDDLE SCHOOL

PLEASE HELP 20 POINTS!The sum of the x- and y-intercepts of the graph of 5x+3y = k is 32 5. Find the length of the line segment joining the x- and y-intercepts.

Thank you so much!
I literally have no idea how to do this.

Answers

Answer 1
Answer: Sure you do.

What is the x-intercept ? It's the point where the graph crosses the x-axis.
But y=0 at every point on the x-axis !  So the x-intercept is the point where

5x + 3(0) = k
5x = k
x = 0.2 k


Similarly ... What is the y-intercept ? It's the point where the graph crosses the
y-axis. But x=0 at every point on the y-axis !  So the y-intercept is the point where

5(0) + 3y = k
3y = k
y = k/3

The sum of the x- and y-intercepts is 32.5 .
0.2k + k/3 = 32.5
Multiply each side by 5 :
k + 5k/3 = 162.5
Multiply each side by 3 :
3k + 5k = 487.5
8k = 487.5
Divide each side by 8 :
k = 60.9375

The x-intercept is (0.2k, 0) = the point (12.1875, 0) .

The y-intercept is (0, k/3) = the point (0, 20.3125) .

Those are the two points. Now it wants you to find the distance between them.
Do you remember how to find the distance between 2 points ?

Find the (difference of their x-values) and square it.
Find the (difference of their y-values) and square it.
Add the two squares together.
Take the square root of the sum.
That's the distance between the points.

(12.1875)² + (20.3125)² = the square of the distance.

If you don't get 23.688 for the distance, then check your arithmetic.

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20% of a number is 64
what is 50% of the number?

explain how you worked this out

Answers

is        %
__  =  __
of      100

64       20%
__   =  __
 x        100

20x= 6,400
Divide.
6,400/20=320.
Half or 50% of 320 is 160.

If a school bought 1,000 erasers as part of an order for supplies. The total cost of the erasers was $30. What was the cost for 1 eraser?

Answers

The cost of 1000 erasers was 30$, then one eraser would be 30/1000=0.03$

What is the answer of 30% of $40.00 please tell with the steps

Answers

1.First you multiply $40.00 by .30 (since to make a percent a decimal you move the decimal or percent to the left 2 times)
2.Then you'll get 120000 so when you multiplied  $40.00 by .30 you have 4 decimals so you move the decimal 4 times in the answer starting from the right.
3. The answer will be 12 

Write as a percent 11/12

Answers

approximately 92 percent
Aprox. 92% im or 20%

PLEASE HELP!! EASY MATH FOR ADULTS NOT MIDDLE SCHOOLERS HELP PLS!Alexa is looking at the shape at top. She needs to
make several different figures that are similar to it.
If she uses the scale factor , will the new shape
that she creates be larger or smaller than the
original? Justify your answer.
b. List two different scale factors Alexa could use to make a smaller shape.
C. List two different scale factors Alexa could use to make a larger shape.​

Answers

The answers for part [b] and [c] is -

[b] : K = 0.5 and K = 0.7

[c] : K = 2 and K = 3

What is scale factor? How it is used in Dilating coordinates?

Scale factor is used to compare 2 quantities, indicating by how much one quantity is greater than the other. It is denoted by K. Mathematically-

K = a/b.

If a coordinate point (x, y) is dilated by a scale factor of [k], then the coordinate point after dilation will be - (kx, ky).

Given is a trapezium as shown in image.

For scale factor [K] greater than zero, the shape will enlarge while if [K] is less than zero, the shape will shrink.

So -

[b] : K = 0.5 and K = 0.7

[c] : K = 2 and K = 3

Therefore,  the answers for part [b] and [c] is -

[b] : K = 0.5 and K = 0.7

[c] : K = 2 and K = 3

To solve more questions on dilation, visit the link below-

brainly.com/question/13439872

#SPJ5

Answer:

B. 0.5 and 0.2

C 2 and 3.2

Step-by-step explanation:

because anything lesser than the standard value of one is smaller.

because anything over the standard value of one is larger.

Luca shows his work in finding the solution to 2 - 6x = 5 - 5(x - 1) . After checking his answer in the original equation, he found that it didn't work. where did he make a mistake?

Answers

The value of x from the given equation is -8. Luca did mistake while multiplying 5 inside the terms of a bracket.

The given equation is 2-6x=5-5(x-1).

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

Using distributive property multiply 5 to the terms in a bracket.

That is, 2-6x=5-5x+5

⇒ 2-6x=10-5x

Add 5x to both the sides of an equation

That is, 2-6x+5x=10-5x+5x

⇒ 2-x = 10

Subtract 2 to both the sides of an equation

That is, -x=8

Multiply -1 to to both the sides of an equation

So, x=-8

The value of x from the given equation is -8. Luca did mistake while multiplying 5 inside the terms of a bracket.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ5
step 1 is wrong, because when you distribute 5(x-1) it will equal 5x-5
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Helpppppp is required