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4 years ago

PLEASE HELP HELP PLEASE Photos attached hon -

Mathematics

1 answer:

xenn [34]4 years ago

3 0

Answer:

Picture #1: True

Picture #2:

12y - 6 - 4y = 14

8y - 6 = 14

8y = 20

y = 20/8= 5/2

Picture #3

-3y-10=5y+14

-8y - 10 = 14

-8y = 24

y = -3

Picture #4

.50x. + 4.50 = 31.50

.50x = 27.00

x = 54

Picture #5

15x - 24 = 15x - 24

answer is b

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What value of a makes x/2 + 4= 8 true?

Evgesh-ka [11]

Answer:

x = 8

Step-by-step explanation:

x/2 + 4 = 8

x/2 = 8 - 4

x/2 = 4

x = 4*2

x = 8

Probe:

8/2 + 4 = 8

4 + 4 = 8

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4 years ago

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3. As part of your weight training regimen, you want to consume lean sources of protein. You want consume at least 300 Calories

erastova [34]

Answer:

Let x ounce of chicken and y ounce of tofu were taken,

∵ One ounce of chicken provides 35 Calories and 8.5 g of protein,

So, in x ounces of chicken

Calories = 35x, Protein = 8.5x grams,

Now, One ounce of tofu provides 20 Calories and 2.5 g of protein.

So, in y ounces of tofu,

Calories = 20y and protein = 2.5y grams,

Thus, the total calories = 35x + 20y,

Total protein = 8.5x + 2.5y

According to the question,

35x + 20y ≥ 300 -----(1),

8.5x + 2.5y ≥ 48 ----(2),

Now, the cost of a pound for chicken = $ 5,

So, the cost of 16 ounces of chicken = $ 5 ( ∵ 1 pound = 16 ounces ),

⇒ the cost of 1 ounces of chicken = $\frac{5}{16}$ dollars,

Similarly, the cost of a pound of tofu = $ 2.5,

So, the cost of 1 ounces of tofu = $\frac{2.5}{16}$ dollars,

Thus, the total cost of x ounces of chicken and y ounces of tofu

$C=\frac{5}{16}x+\frac{2.5}{16}y$

Now, by graphing the above constraints ( by equation (1) and (2) )

We get a feasible region that shows the possible values of x and y,

The boundary points of the feasible region are,

(2.545, 10.545), (0, 19.2), (8.571, 0)

$C=\frac{5}{16}\times 2.545+\frac{2.5}{16}\times 10.545 = 2.443$

$C=\frac{5}{16}\times 0+\frac{2.5}{16}\times 19.2 = 3$

$C=\frac{5}{16}\times 8.571+\frac{2.5}{16}\times 0 = 2.678$

Hence, the minimum cost is $ 2.443,

For which 2.545 ounces of chicken and 10.545 ounces of tofu should be eaten.

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3 years ago

A group of kids do a car wash. They charge $4.50 for each small car they wash and eight dollars for each large car or SUV in the

Basile [38]

Answer:

Step-by-step explanation:

Let x and y represent the numbers of small and large cars washed, respectively.

We know that:

$4.50x + $8y = $420

But we don't know the relationship between x and y. We need more information (e.g., they washed twice as many small cars and large). Otherwise we have one equation and two unknowns. Since there are two unknowns, we can't determine a "slope" of the line. With all the water and soap, the most we could possibly say it will be a slippery slope.

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3 years ago

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>

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3 years ago