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2 years ago

Solve the system by substitution. x = – 4y + 6 2x + 9y = 16

Mathematics

1 answer:

GaryK [48]2 years ago

3 0

Step-by-step explanation:

x = -4y + 6

Now,

Substituting the value of x on 2x + 9y = 16, we get -.

2(-4y + 6) + 9y = 16

-8y + 12 + 9y = 16

y = 16 - 12

Now,

Substituting the value of y on 2x + 9y = 16, we get -

2x + 9(4) = 16

2x = 16 - 36

2x = -20

Hence,

The value of x is -10 and y is 4.

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If a bullet travels at 827.0 m/s , what is its speed in miles per hour?

Artemon [7]

Answer: 2,977,200 miles per hour

Step-by-step explanation: This is true because taking that that is miles per second there is 60 seconds in a minute so times that by 60 and there are 60 minutes in an hour so times that last answer by 60 again which gives you the answer

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3 years ago

A grocery store sells bags of oranges in two different sizes the 3 pound bag $4 the 8 pound bag cost $9 which cost less

timofeeve [1]

Answer:

The 8 pounds bag

Step-by-step explanation:

Case 1 :

a pound cost 4/3

case 2 :

a pound cost 9/8

4×8 > 9×3

then

$\frac{4}{3} >\frac{9}{8}$

Therefore the 8 pound bag costs less

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3 years ago

Howard is standing 109 yards from the bottom of a water reservoir. He estimates that the angle of elevation to the top of the wa

pav-90 [236]

Answer:

70.1 yards

Step-by-step explanation:

See the attached diagram.

Let AC is the reservoir with A as the bottom and C is the top.

Now, B is the position of Howard which is 109 yards from A i.e. AB = 109 yards.

Again, the angle elevation from B to C is 50 degrees.

So, ∠ ABC = 50°

Now, $\cos 50 = \frac{AB}{BC} = \frac{109}{x}$

⇒ x = 109 cos 50 = 70.1 yards.

Therefore, the distance between the top of the reservoir and Howard i.e. BC is equal to 70.1 yards. (Answer)

8 0

2 years ago

Jessica is filling glasses with water. Each glass holds 3/5 cup of water. She pours 4 1/5 cups of water into the glasses. How ma

xeze [42]

4 1/5 divided by 3/5 = 7

4 0

3 years ago

Read 2 more answers

If f(x) = 3^(x + 4), find f(2).<br><br> A. 729<br> B. 243<br> C. 81<br> D. 18

Umnica [9.8K]

Answer:

f(2) = 729

Step-by-step explanation:

f(x) = 3^(x + 4)

Let x =2

f(2) = 3^(2 + 4)

f(2) = 3^(6)

f(2) = 729

4 0

3 years ago

Solve the system by substitution. x = – 4y + 6 2x + 9y = 16​

Solve the system by substitution. x = – 4y + 6 2x + 9y = 16