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Sati [7]
2 years ago
14

How many solutions are there to the equation below?

Mathematics
1 answer:
romanna [79]2 years ago
3 0
Answer : c
Explanation:
4(x-5)=3x+7
4x-20=3x+7
4x-3x=7+20
x=27
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two friends went to a restaurant and ordered one plain pizza and two sodas. their bill totaled $15.95. later that day, five frie
oksano4ka [1.4K]
X= cost per pizza
y= cost per soda


1ST VISIT TO RESTAURANT
x + 2y= $15.95

2ND VISIT TO RESTAURANT
3x + 5y= $45.90


STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.

-3(x + 2y)= -3(15.95)
multiply -3 by each term

(-3 * x) + (-3 * 2y)= (-3 * 15.95)

-3x - 6y= -47.85


STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.

3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y

-y= -1.95
divide both sides by -1

y= $1.95 per soda


STEP 3
substitute y value in either original equation to solve for x

x + 2y= $15.95

x + (2 * 1.95)= 15.95
multiple in parentheses

x + 3.90= 15.95
subtract 3.90 from both sides

x= $12.05 per pizza


CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90


ANSWER: Each pizza costs $12.05 and each soda costs $1.95.

Hope this helps! :)
4 0
3 years ago
.004 greater than or less than 4.00
Goshia [24]

Answer:

0.004 is much less than 4.00!

4 0
3 years ago
Read 2 more answers
Graph f(x)=12x+2.i need help
AveGali [126]

Answer:

Slope:12 y-Intercept:2

Step-by-step explanation:

Graph the line using the slope and y-Intercept, or two points.

x | y

0 | 2

1 | 14

4 0
3 years ago
What is the distance between the points 4,10 and -3,-14 on the coordinate plane
Kryger [21]

Answer:

25

Step-by-step explanation:

Here we are supposed to find the distance between two coordinates ( 4,10) and (-3,-14).

Let us do this step by step with detailed explanation.

We will use distance formula in order to find the distance between them. The distance formula is given as

D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }

Here we have

x_{2}=-3\\x_{1}=4\\y_{2}=-14\\y_{1}=10\\

Replacing them in the formula we get

D=\sqrt{(-3-4)^{2} +(-14-10)^{2} }\\D=\sqrt{(-7)^{2} +(-24)^{2} }\\D=\sqrt{49+ 576 }\\D=\sqrt{625 }\\D=25\\

Hence our distance is 25 units

8 0
3 years ago
15. What is one third of 12 3/4?
svetoff [14.1K]

Answer:

4 1/4

Step-by-step explanation:

3 0
3 years ago
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