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2 years ago

Will mark brainliest

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

6 0

Answer:

adding both equations

4x+9y=5

-4x+7y=11

+ + =+

________

0 +16y=16

y=1

putting the value of y in first eqn

4x+9×1=5

4x=5-9

4x=-4

x=-1

so the x is -1 and y is 1

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The cost of pumpkin seeds is proportional to

zheka24 [161]

Answer:

Part 1) The unit rate is $\$0.25\ per\ ounce$

Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00

Step-by-step explanation:

Part 1) What is the unit rate for the pumpkin seeds?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{6}{24}=\$0.25\ per\ ounce$

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

$\$0.25\ per\ ounce$

Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

$y=0.25x$

For x=56 ounces

substitute in the linear equation and solve for y

$y=0.25(56)=\$14.00$

6 0

3 years ago

Solve for a: a + 1 > 7

g100num [7]

Answer:

$a>6$

Step-by-step explanation:

1) Subtract 1 from both sides.

$a>7-1$

2) Simplify 7 - 1 to 6.

$a>6$

Therefor, the answer is a > 6.

8 0

2 years ago

Read 2 more answers

An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kil

Oliga [24]

Answer:

54.80 MPa to 55.92 MPa

Step-by-step explanation:

Sample mean fracture strength (x) = 55.36 MPa

Sample standard deviation (s) = 3.99 MPa

Sample size (n) = 196.

The upper and lower bounds for a 95% confidence interval are given by:

$U=x+1.960*\frac{s}{\sqrt{n}} \\L=x-1.960*\frac{s}{\sqrt{n}}$

The upper and lower bounds of the confidence interval are;

$U=55.36+1.960*\frac{3.99}{\sqrt{196}}\\U= 55.92\\L=55.36-1.960*\frac{3.99}{\sqrt{196}}\\L= 54.80\\$

The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa

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3 years ago

8(39 + 11)

Andrei [34K]

Answer:

option D is the correct answer

6 0

2 years ago

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As x → − ∞ , f ( x ) = − 3 . As x → ∞ , f ( x ) = − 3

Ludmilka [50]

Answer:

Step-by-step explanation:

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1 year ago