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Neporo4naja [7]
3 years ago
6

For the situation, write and solve an equation. Then, explain what your solution means. If you get stuck, try drawing a diagram

on your paper.
A food pantry is making packages. Each package weighs 64 pounds. Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.
Mathematics
1 answer:
stellarik [79]3 years ago
3 0

Answer:

64 = 4x + 7        

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You are paid $82.50 for 7 1/2 hours of work, whats is your rate of pay?
ra1l [238]

Answer:

Rate of Pay is $11 per hour.

Step-by-step explanation:

Cost of 7\frac{1}{2}\:hr of work = $ 82.50

To find: Rate of pay

Here Rate of Pay means Cost of 1 hour of work or we can say cost of per hour work.

7\frac{1}{2}=\frac{7\times2+1}{2}=\frac{15}{2}

⇒ Cost of \frac{15}{2}\;hr of work = $ 82.50

Cost of 1 hr of work = \frac{82.50}{\frac{15}{2}}

                                = \frac{82.50\times2}{15}

                                = \frac{165}{15}

                                = $ 11

Therefore, Rate of Pay is $11 per hour.

5 0
3 years ago
Read 2 more answers
Pls help! Solve the equation by using quadratic formula. <br><br> -2x’2 + 4x = 5
OleMash [197]

Answer:

x=\frac{2\pm i\sqrt{6}}{2}

Step-by-step explanation:

-2x^2+4x=5\\\\-2x^2+4x-5=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-4\pm\sqrt{(4)^2-4(-2)(-5)}}{2(-2)}\\\\x=\frac{-4\pm\sqrt{16-40}}{-4}\\\\x=\frac{-4\pm\sqrt{-24}}{-4}\\ \\x=\frac{-4\pm2i\sqrt{6}}{-4}\\ \\x=\frac{2\pm i\sqrt{6}}{2}

4 0
2 years ago
An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is
Norma-Jean [14]

Answer:

x = 0

Step-by-step explanation:

Given

(x_1,y_1) = (3,0)

(x_2,y_2) = (-3,0)

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

(x,y) = 0.5(x_1 + x_2, y_1 + y_2)

(x,y) = 0.5(3-3, 0+ 0)

(x,y) = 0.5(0, 0)

Open bracket

(x,y) = (0.5*0, 0.5*0)

(x,y) = (0, 0)

Next, determine the slope of the given endpoints.

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{0 - 0}{-3- 3}

m = \frac{0}{-6}

m = 0

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

m_2 = -\frac{1}{m_1}

In this case:

m = m_1 = 0

So:

m_2 = -\frac{1}{0}

m_2 = unde\ fined

Since the slope is unde\ fined, the equation is:

x = a

Where:

(x,y) = (a,b)

Recall that:

(x,y) = (0, 0)

So:

a = 0

Hence, the equation is:

x = 0

5 0
3 years ago
What are the zeros of f(x) = (x − 5)(x − 4)(x − 2)?
Dominik [7]

Answer:

x=5 , x=4, x=2

i got this answer by setting the x-5=0 then solve for x. same for each x-5, x-4, x-2.

8 0
3 years ago
Read 2 more answers
Help plzzzzzz plzzzzzzzzzzzz
UkoKoshka [18]

Answer:

x = 20°

y = 70°

Step-by-step explanation:

the angle adjacent to the 40° angle must be 140° because the two angles form a straight line (which contains 180°)

in the isosceles triangle with the 'x', that means the other two angles must be equal and are (180-140) ÷ 2, which equals 20°

to find 'y', consider the larger right triangle with angles of 90° and 20°; angle y must equal 180 - (90 + 20) = 70°

5 0
2 years ago
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