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3 years ago

Find the expression you can substitute for x in 5x+y=10 to solve the system below

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

First you would need to move the variable causing it to change its sign

5x=10-y

Then divide both sides by 5

X=2-1/5y

Then you are left with your answer:

x=2-1/5y

Hope this helps! :3

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The price of an item has been reduced by 35% . The original price was 91 . Find the price now

nadya68 [22]

You have to take the percentage of the original price and subtract it to find the reduced price

8 0

3 years ago

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One day, Pam drove 102 miles in 1 1/2 hours. Jake drove 54 miles in 3/4 hour. Who drove at a faster rate?

8090 [49]

Answer:

make the answwer a decimal

Step-by-step explanation:

the fraction need to be a decimal

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3 years ago

HeLp pLzZzZzZzZzZzZzZzZzZ

Gnoma [55]

Answer:

Step-by-step explanation:

Problem One (left panel)

Question A

The y intercept happens when x = 0
That being said, the y intercept is 50. It was moving when the timing began.

Question B

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2 miles / hour^2 (you have a slight acceleration.

Question C

60 = a + (n-1)d
60 = 50 + (n - 1)*2
10/2 = (n - 1)*2/2
5 = n - 1
6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

Question A

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

f(0) = ax + b
-3 = a*0) + b
b = - 3
So far what you have is
f(x) = ax - 3
f(-1) = a*(-1) - 3 but we know (f(-1)) = -6
- 6 = a(-1) - 3 add 3 to both sides
-6 +3 = a(-1) -3 + 3
-3 = a*(-1) Divide by - 1
a = 3
f(x) = 3x - 3 Answer for f(x)
The slope of f(x) = the coefficient in front of the x
f(x) has a slope of 3
g(x) has a slope of 4

Part B

f(x) has a y intercept of - 3
g(x) has a y intercept of -5
f(x) has the greater y intercept.
-3 > - 5

7 0

3 years ago

Find the value of t needed to make the equation shown true. 25t = 12.5

-Dominant- [34]

Answer:

1/2

Step-by-step explanation:

Hi Avahosel2020!

To find the value of $t$ we need to simplify the equation:

25 $t$ = 12.5

To just get $t$ , we must divide 25 on both sides:

$\frac{25t}{25}$ = $\frac{12.5}{25}$

We can move the decimal one spot over and add a 0 to the denominator:

$\frac{25t}{25}$ = $\frac{125}{250}$

$t$ = $\frac{125}{250}$

Simplifying!

$\frac{125}{250}$ = $\frac{1}{2}$ .

Thus, $t$ has the value of $\boxed{\frac{1}{2} }$ .

7 0

3 years ago

Find the area of the missing piece of the polygon and explain your process for finding it:

Otrada [13]

Answer:

Step-by-step explanation:

In short, the sum of the opposite areas are equal.

x + 30 = 24 + 48

x = 42

To prove this, draw a line from each corner to the "center" where the four lines meet. Along each side of the square are two triangles. These triangles have the same base and the same height, and therefore have the same area.

If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:

a + b = x

b + c = 24

c + d = 30

a + d = 48

Adding the first and third equations:

a + b + c + d = x + 30

Adding the second and fourth equations:

a + b + c + d = 24 + 48

Therefore:

x + 30 = 24 + 48

x = 42

8 0

3 years ago