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3 years ago

Find x when y = 5 in the literal equation 4x + 7y = 51

Mathematics

2 answers:

xeze [42]3 years ago

8 0

The answer is... x=4

4(4) + 7(5) = 51

Hope ive helped!

nataly862011 [7]3 years ago

3 0

Hey there!

All that you need to do for this problem is plug in 5 where you see "y" in your given equation. The term 7y indicates that you will be multiplying 7 and the y value together, so you'll multiply 7 by 5 to get the value of that whole term.

$4x+7y = 51$

$4x+7(5) = 51$

$4x+35 = 51$

Now, just solve for x. You can do this by combining like terms and simplifying your equation as much as possible. Remember that addition cancels out subtraction and division cancels out multiplication and vice versa. What you do to one side is something you must do to the other side.

$(4x+35) - 35 = (51) - 35$

$(4x) = (16)$

$\frac{4x}{4} = \frac{16}{4}$

$x =4$

The value of x will be 4 if y is equal to 5.

Hope this helped you out! :-)

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Give the domain and range. x –2 0 2 y –1 0 1 a. domain: {2, 0, 2}, range: {1, 0, 1} b. domain: {–2, 0, 2}, range: {–1, 0, 1} c.

weeeeeb [17]

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3 years ago

A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer

OLEGan [10]

Answer:

The probability is $P( p < 0.9207) = 0.0012556$

Step-by-step explanation:

From the question we are told

The population proportion is $p = 0.96$

The sample size is $n = 227$

The number of graduate who had job is k = 209

Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

$\mu_x = p = 0.96$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{\frac{p (1 - p )}{n} }$

=> $\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }$

=> $\sigma = 0.0130$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{209}{227}$

=> $\^ p = 0.9207$

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

$P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )$

$\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( p < 0.9207) = P(Z< -3.022 )$

From the z table the area under the normal curve to the left corresponding to -3.022 is

$P(Z< -3.022 ) = 0.0012556$

=> $P( p < 0.9207) = 0.0012556$

6 0

3 years ago

3. What are the factors of 9x2 - 30x + 25?

vaieri [72.5K]

{(3x)}^{2}-2(3x)(5)+{5}^{2}

−2(3x)(5)+5

{(3x-5)}^{2}

4 0

2 years ago

Am i doing this right????

Anna35 [415]

You are going in the right direction. For the distance of ST I get √136
√(-5-1)² + (6+4)² =
√(-6)² + (10²) =
√ 36 + 100 =
√136

√34² + √136² =√170²
34 + 136 = 170
170 = 170

3 0

3 years ago

Which number is a solution of a² +4= 6a – 1? 07 6 7 8

LuckyWell [14K]

Answer:

a=1 or a=5

Step-by-step explanation:

$a^{2}$ +4=6a−1

Step 1: Subtract 6a-1 from both sides.

$a^{2}$ +4−(6a−1)=6a−1−(6a−1)

$a^{2}$ −6a+5=0

Step 2: Factor left side of equation.

(a−1)(a−5)=0

Step 3: Set factors equal to 0.

a−1=0 or a−5=0

a=1 or a=5

(is it helpful rate me according to that

Thank You:-)

6 0

3 years ago