Find four consecutive even integers with a sum of -52

Answers

Answer 1

Answer:

Step-by-step explanation: In this problem we have four consecutive even integers that have a sum of -52. Consecutive even integers can be represented as followed.

X + 2

X + 4

X + 6

Since the sum of these is -52, we can set up an equation to represent this.

X + X + 2 + X + 4 + X + 6 = -52

4x + 12 = -52

4x = -64

X = -16

X + 2 = -14

X + 4 = -12

X + 6 = -10

Answer 2

Answer:

Answer:

-16,-14,-12,-10

Step-by-step explanation:

Let the integers be x, x+2,x+4,x+6

ATQ,

x+x+2+x+4+x+6=-52

4x+12=-52

4x=-52-12

x=-64/4

x=-16

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For any two nonzero integers, the product and quotient have the same sign. True or False

Answers

That's a very interesting, true, factoid.

If the two integers have the same sign, then
the product and quotient are both positive.

If the two integers have opposite signs, then
the product and quotient are both negative.

False. This is because no matter what the number is, the properties of multiplication and division stay the same. So, if one odd and even number multiply/divide, then the answer will be negative. But, if two numbers of the same sign (both either negative or positive) are divided/multiplied, they will both be positive. Therefore, the result is not always the same sign as the starting integers

Hope this helped! :D

65% of what number is 39? 65% of what number is 39? A.
25.35

B.
60

C.
166.7

D.
2535

Answers

Change 65% into a decimal by moving the decimal point two places to the left. Then multiply .65 by 39 to get Your answer = A. 25.35 :)

$f - 354 = 1221$
A. f=877
B. f=1,565
C. f=867
D. f=1,575

Answers

$f-354=1221$ add 354 to both sides

$f+354-354=1221+354\n\n\boxed{f=1,575}\to\boxed{D.}$

Which statement about the best estimation strategy for this problem is correct? The Jackson family drove 490 miles each day for 9 days. They then flew 1,292 miles. How far did the Jackson family travel? A student answered 5,702 miles. A. 500 × 9 + 1,300 = The student's answer was reasonable. B. 500 ÷ 9 + 1,300 = The student's answer was not reasonable. C. 400 × 9 + 1,200 = The student's answer was not reasonable. D. 400 ÷ 9 + 1,200 = The student's answer was not reasonable.

Answers

If you would like to know which statement for this problem is correct, you can find this using the following steps:

490 miles * 9 days + 1,292 miles = 5,702 miles ... 500 miles * 9 days + 1,300 miles = 500 * 9 + 1,300 = 5,800 miles

The correct result would be: A. 500 × 9 + 1,300 = The student's answer was reasonable.

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash?

Answers

Based on the number of customers from last week, the fraction is closest to the probability that the next customer will pay with cash is 54/249

How to get population mean?

Suppose population is wide and you cannot evaluate all the population at once. Then you do sampling of large enough size randomly. The mean of that sample will be then the estimate for the mean that population will pertain.

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

$P_e(E) = \frac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}$

where, $P_e(E)$ is denoting experimental probability of occurrence of E.

Here, the customers are not all known to us, they are population.

But we have some data of the previous customer. Taking them as the sample, we have:

Experimental probability of an event from sample = Predicted probability for that event in population.

For this case, from the previous data, we have:

54 customers paid with cash
42 customers paid with debit card
153 customers paid with a credit card.

Total customers who paid = 153 + 42 + 54 = 249

Total customers who paid with cash = 54

Thus, if we take:

E = event that a customer pays with cash, then:

$P_e(E) = (54)/(249)$

This is the probability deduced from the previous data that the next customer will pay with cash.

Thus, based on the number of customers from last week, the fraction is closest to the probability that the next customer will pay with cash is 54/249

Learn more about probability here:

brainly.com/question/1210781

You would add 54+42+153=249 to find the total amount of customers from the previous week. Then you would divide 54/249= 0.2168 to find the amount of customers that used cash to total customers. The closest fraction would be about 1/5.

Adrian works in New York City and makes $42 per hour. She works in an office and must get her suit dry cleaned everyday for $75.If she wants to make more than $260 a day, at least how many hours must she work?

Answers

Answer:

Adrian must work at least 8 hours in a day to make more than $260

Explanation:

Assume that Adrian needs to work x hours in one day to make at least $260

We know that she makes $42 per hour

This means that:

If she worked x hours in a day, then she'll earn $42x

We are also given that she spends $75 daily on dry clean

This means that:

Amount she makes in a day = amount she earns - $75

Amount she makes in a day = 42x - 75

Now, she wants to make at least $260

This means that:

42x - 75 ≥ 260

42x > 260 + 75

42x > 335

x > 7.9

Therefore:

Adrian must work at least 8 hours in a day to make more than $260

Hope this helps :)

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