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3 years ago

Find the missing number (? + 2) ÷ 8 = -7

Mathematics

2 answers:

topjm [15]3 years ago

8 0

Answer:

-58

Step-by-step explanation:

-7*8 = -56

So -56/8= -7

But we have a +2 there, so do the opposite. So -56-2. is -58.

(-58+2) / 8 = -7

Ymorist [56]3 years ago

5 0

-58 is the answer because as you notice a+b=c

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A vehicle uses 2 1/4 gallons of gasoline to travel 16 1/2 miles. At this rate, how many miles can the vehicle travel per gallon

Gennadij [26K]

The answer is 12 miles per hour

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3 years ago

Read 2 more answers

1. In a factory, all employees work a basic week of 38 hours. Any overtime worked during week-days is paid for at time and a hal

Troyanec [42]

Answer:

Step-by-step explanation:

1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay

38 hrs regular pay : 38 * 8.96 = 340.48

15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60

3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76

2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76

Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====

===============================

2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double

(a) basic wage = 40(14.60) = 584 <==

(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==

================================

3. basic work wk: 40 hrs...earned 518...overtime 148

(a) basic pay rate : (518 - 148) / 40 = 370/40 = 9.25 per hr <==

(b) if overtime is paid for at double time.....so overtime pay is (2 * 9.25) = 18.50 per hr....and he got paid 148....148/18.5 = 8 hrs <==

4 0

3 years ago

Solve for X: -22=-7+3/5x

stira [4]

solution for the problem-

X=-22

3 0

3 years ago

During a sale, all pillows are 1/4 off the regular price. write an expression that represents the amount of money saved on a pil

marusya05 [52]

For the answer to the question above, I think the answer is let's just say
3/4*d = amount of money is saved,
because you're taking 1/4 away, so you're only left with 3/4 of the price.
I hope this helps

4 0

3 years ago

The total profit Upper P (x )(in thousands of dollars) from the sale of x hundred thousand pillows is approximated by Upper P

Schach [20]

Answer:

x=12 maximizes the profit function.

Step-by-step explanation:

We are given that the profit is $P(x) = -x^3+15x^2+72x-200$ for $x\geq 5$

To find x that maximizes P, we will find the derivative of P(x) and find x such that P'(x) =0. Recall that the derivative of a function of the form $x^k$ is $kx^{k-1}$ , and that the derivative of a constant is zero. Then, by using the properties of derivatives, we get (the details of the calculation is omitted).

$P'(x) =-3x^2+30x+72$ .

We want to solve $P'(x) = 0$ . By dividing the equation by -3, we get

$x^2-10x-24=0=(x-12)(x+2)$

So we have that x=12 and x=-2 are solutions. In this case, we are only considering x greater than o equals 0. So, we take x=12.

We will check that x=12 is a maximum of P.

To do so, we will use the second derivative criteria, which is as follows. Given a function f whose first and second derivative exist, a point x is a maximum if $f''(x)$ . In our case,

$P''(x) = -6x+30$

Note that $P''(12) = -42$ . So x=12 is a maximum of P.

6 0

4 years ago