MATHEMATICS HIGH SCHOOL

The product of two consecutive positive even integers is 14 more than their sum

Answers

Answer 1
Answer: X(x+2)=x+x+2+14
x^2+2x=2x+16
x^2=16
x=4 or x =-4
Answer 2
Answer:

Answer:

x=4,-4

Step-by-step explanation:

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30 miles per hour.3,520 feet per minute.who runs faster and by how many miles per hour? There 5,280 feet in one mile

Answers

First let's convert 30 miles to feet. 

30 x 5,280 = 158400

Now let's find how many feet the first person runs per minute. 

158400/60 = 2640

The first person runs 2,640 feet per minute, and the second person runs 3,520 feet per minute.
Since the second person runs fast, let's find by how many miles per hour they're faster than the first person. 

3520-2640 = 880
How many miles is 880 feet?
5280/880 = 0.17

The second person runs faster by 0.17 miles per hour. 

Hope this helps! :)
Hello!

CORRECTION: "A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. "

OPTIONS: 
A: A deer is 10 miles per hour faster than a bison. 

B: A bison is 10 miles per hour faster than a deer. 

C: A deer is 0.66 miles per hour faster than a bison. 

D: A bison is 0.66 miles per hour faster than a deer.


This is what you meant right!? ^^^

I've done this Question before, so i'll Help You Then!


We 1st off, have to convert the ft/min speed into miles/hour: 

3520 feet ... 1 mile ..... 60 minutes ... 3520 x 60 miles 
-------------- x ------------- x ---------------- = --------------- 
1 minute ... 5280 feet .... 1 hour .......... 5280 hours 

= (3520 * 60) / 5280 
= 40 miles/hour 

The Correct Answer Is: 
B. The bison is 10 miles per hour faster than a deer.


Hope this Helps! Have A Wonderful Day! :)

Jan Quint earns $11.00 an hour at her job and is entitled to time-and-a-half for overtime, and double time on holidays. Last week she worked 40 hours of regular time, 9 hours of overtime, and 12 hours of holiday time. How much did she earn last week?A. $720.50
B. $612.00
C. $852.50
D. $803.00
Please explain the answer..

Answers

time and a half mean
example, if he work for 1 hour normal, then he get 1 hour pay
but time and a half, is if he works 1 hour overitme, he gets paid for 1.5 time
double time is work 1 hour, get paid 2 hours

basically, multiply all normal hours by 1, multpliy al overtime hours by 1.5 and multiply al holiday hours by 2

40 hours normal
9 hours overtime
12 hours holidy
40*1=40
9*1.5=13.5
12*3=24
add up
40+13.5+24=77.5 hours counted

now 11 per our
11 times 77.5=852.50

C is answer

The correlation coefficient r between a child’s age, x, and the number of minutes spent doing homework each day, y, is 0.694. What percent of the variation in the number of minutes doing homework cannot be explained by differences in the children’s ages?

Answers

So, they are looking for the percentage that is NOT explained... Well, given the r we can find the percentage that IS explained by it first. That's given by r^2.

Now - let's take the square of r it gives me .481636. That means that about 48% IS explained. Therefore, the part that cannot be explained must be the missing part (out of 100% so 100% - 48.1636% should be it :)

So 100% - 48.1636% = 0.518364 and we want to round that off to three decimal places which will give us 0.518... and then we could convert that to a percent for the final. So 0.518 as a percentage is 51.8%! s

Round to the given place: 256,035 (thousands)

Answers

So,

When rounding to the nearest thousand, look at the number in the hundreds place.  If it is greater than or equal to 5, round up.  If not, round down.

256,035

The hundreds place is less than 5, so we round down.

256,035 --> 256,000
256,000. The 6 is in the thousandths place, and since the 0 in the hundredths place is less than 5, you do not round up, keeping the 256,000 as opposed to 257,000.

13+(p/3)=-4. What’s the answer

Answers

Answer:

- 25

Step-by-step explanation:

Step 1:

13 + p ÷ 3 = - 4

Step 2:

13 + p = - 4 × 3

Step 3:

13 + p = - 12

Step 4:

p = - 12 - 13

Answer:

p = - 25

Hope This Helps :)

17g+6=20g+3 Solve for the variable g.

Answers

1g is the answer

minus 6 and 3=3
minus 17 and 20
3g=g
1=g

You need to isolate the variable g onto one side. Since we're going backwards, we need to do the opposite of the order of operations. Step one is to subtract 20g from both sides. 17g-20g is -3g. -3g+6=3. Now, subtract 6. 3-6=-3. 
-3g=-3. Finally, divide both sides by -3. -3/-3 is 1, so G is 1. 
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