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enyata [817]
3 years ago
14

What is b? -17+b/8:13

Mathematics
1 answer:
tester [92]3 years ago
6 0

Regroup terms

b/8 - 17 = 13

Add 17 to both sides

b/8 = 13 + 17

Simplify 13 + 17 to 30

b/8 = 30

Multiply both sides by 8

b = 30 × 8

Simplify 30 × 8 to 240

<u>b = 240</u>

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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
KIM [24]

Answer:

D

Step-by-step explanation:

First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.

If point D divides the segment AB in the ratio m:n, then

D\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)

So

D\left(\dfrac{3\cdot 2+5\cdot 10}{5+3},\dfrac{3\cdot (-6)+5\cdot 2B}{5+3}\right)=D(7,-1)

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.

Thus, C(2,-1)

5 0
3 years ago
Read 2 more answers
Justin wants to cover the top of a circular swimming pool to keep insects out of the pool. If the diameter of the pool is 20 fee
evablogger [386]

Answer: The area is approximately 314 ft^2

Step-by-step explanation:

Well if the diameter is 20  feet then the radius will be 10 because the radius is half the diameter, and to find the area of a circle, you use the formula

A= \pi r^{2}  where A is the area and pi times the radius squared.

We will represent pi by 3.14  

A= 3.14* 10^2

A= 3.14 * 100

A = 314

6 0
3 years ago
The product of 3 and a number x is 23 . What is the value of x?
Scrat [10]
I believed there's a typo in your question
<span>The product of 3 and a number x is 2/3
if so
</span>3x = 2/3
  x = 2/3 * 1/3
  x = 2/9

answer 
x = 2/9


8 0
3 years ago
A line has the equation -5x -14y +168 = 0
valkas [14]

Answer:

y = -5/14x + 12

Step-by-step explanation:

add 14y to both sides to isolate variables and divide everything by 14 to get 1y and boom

6 0
3 years ago
When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is a
Lyrx [107]

Answer:

A) 0

Step-by-step explanation:

When x is divided by 11, we have a quotient of y and a remainder of 3

x/11 = y + 3

x = 11y + 3 ........(1)

When x is divided by 19, we have a remainder of 3 also

x/19 = p + 3 (p = quotient)

x = 19p + 3 ..........(2)

Equate (1) and (2)

x = 11y + 3 = 19p + 3

11y + 3 = 19p + 3

11y = 19p + 3 -3

11y = 19p

Divide both sides by 11

11y/11 = 19p/11

y = 19p/11

y and p are integers. 19 is a prime number. P/11 is also an integer

y = 19(integer)

This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0

8 0
3 years ago
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