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3 years ago

WIL GIVE BRAINLIEST!

Mathematics

1 answer:

Grace [21]3 years ago

5 0

Answer: 4x - 13

<h2>Step-by-step explanation: </h2>

<em>First, we need to get triple of x:</em>

Triple of x is: 3x

<em>Next is to get the difference between 3x and 13:</em>

x + 3x -13

4x - 13

Hence, the variable expression is 4x - 13

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You buy 6 pounds of apples for $33. what is the cost of 10 pounds of apples?

Masja [62]

10 apples will cost $55

8 0

4 years ago

Read 2 more answers

Please explain how to check the solution for y=x-3

adell [148]

Answer:

Just put it in the format and you will eventually find it.

Step-by-step explanation:

Hope this helps.

4 0

3 years ago

The director of a health clinic has a quarterly budget of $600,000. She

nalin [4]

The meaning of this problem is that with 7 nurses they can only hire D=13.25

<h3>What is the meaning of this problem.?</h3>

Generally, the equation for the model is mathematically given as

$P=1000D^{0.6}N^{0.3}$

Therefore,

$dv/dD=0.6*1000*D^{0.4}N)^{0.3}$

$dv/dD=600* \frac{N6.1}{D6.1}=0$

Also

$dv/dN=300* \frac{N6.8}{N6.7}=0$

Equations 1 and 2

$300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}$

.sub D=(60N)/4

$300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}$

N=6.67

N=7

solve for D

D=(60(7))/4

D=13.25

In conclusion, with 7 nurses they can only hire D=13.25

Read more about LaGrange multiplier

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8 0

2 years ago

The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?

SSSSS [86.1K]

Answer:

see below

Step-by-step explanation: 5 27 7 16

area = 1/2 bh

height of a triangle is 7 ft more than its base

base = b

height = b + 7

area = 30

area = 1/2 b(h)

30 = 1/2 b(b + 7)

30 = 0.5(b²+ 7b)

30 = 1/2 b²+ 3.5b solve for b

1/2 b²+ 3.5b = 30

1/2 b²+ 3.5b - 30 = 0

b²+ 7b - 60 = 0 factor

(b +12)(b - 5) = 0 when b = -12 or 5 base length can't be negative

b = base = 5

area = 1/2 bh 1/2×2(9) = 9

area = 1/2 bh 1/2×5(12) = 60

area = 1/2 bh 1/2×9(16) = 56

area = 1/2 bh 1/2×12(19) = 114

5 0

3 years ago

Solve the Equation <br> 2x-3=14<br> -x+3y=-6

andriy [413]

Step-by-step explanation:

If you lost "y" in the first equation.

$\underline{+\left\{\begin{array}{ccc}2x-3y=14\\-x+3y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad x=8\\\\\text{Put the value of x to the first equation:}\\\\2(8)-3y=14\\16-3y=14\qquad\text{subtract 16 from both sides}\\-3y=-2\qquad\text{divide both sides by (-3)}\\y=\dfrac{2}{3}\\\boxed{x=8,\ y=\dfrac{2}{3}}$

If first equation is correct.

$2x-3=14\qquad\text{add 3 to both sides}\\2x=17\qquad\text{divide both sides by 2}\\x=8.5\\\\\text{Put the value of x to the second equation:}\\-8.5+3y=-6\qquad\text{add 8.5 to both sides}\\3y=2.5\qquad\text{divide both sides by 3}\\y=\dfrac{2.5}{3}\\y=\dfrac{25}{30}\\y=\dfrac{5}{6}\\\\\boxed{x=8.5,\ y=\dfrac{5}{6}}$

6 0

3 years ago