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Viefleur [7K]
3 years ago
13

20 points! What is the solution to the system of equations?

Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Answer:

C

Step-by-step explanation:

i used the substitution method to find it out

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In a pen of goats and chickens, there are 40 heads and 150 feet. How many goats and chickens are in the pen?
s2008m [1.1K]

Hey there!!

A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet

For heads, total = 40

Let us take the number of chickens as ' x ' and goats as ' y '

x + y = 40 ------------- ( 1 )

2x + 4y = 150 ----------- ( 2 )

Multiply the first equation with 2

2x + 2y = 80

2x + 4y = 150

Subtract the first equation from the first

2y = 70

y = 35

Number of goats = 35

substitute this in other equation

x + y = 40

x + 35 = 40

x = 5

Number of chickens are 4

Hope it helps!

6 0
3 years ago
A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a
Vesnalui [34]

Answer:

2.5

Step-by-step explanation:

A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then

\dfrac{A'B'}{AB}=\dfrac{A'C'}{AC}.

Since

  • AB=4;
  • A'B'=10;
  • AC=6;
  • A'C'=15,

then the scale factor of the dilation is

k=\dfrac{10}{4}=\dfrac{15}{6}=2.5.

3 0
3 years ago
Review the attachments. Review the process of solving an equation and fill in the blanks.
Nezavi [6.7K]

Answer:

1) Combine like terms

2) \sqrt[3]{x} =3

3) cube both sides of the equation

4) 4\sqrt[3]{27} +8\sqrt[3]{27}=36

5) 4(3) + 8(3) = 36

Step-by-step explanation:

1) Combine like terms

2) \sqrt[3]{x} =3

3) cube both sides of the equation

4) 4\sqrt[3]{27} +8\sqrt[3]{27}=36

5) 4(3) + 8(3) = 36

5 0
2 years ago
What does the y-intercept represent?
lara31 [8.8K]
Where a line goes across the y axis
Or in the formula y = mx + c, the y axis is represented by c
8 0
3 years ago
Read 2 more answers
I need help on this thank you ​
Rasek [7]
I think it B or D I hope i don’t get it wrong
5 0
3 years ago
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