One number is 5 more than another. The difference between their squares is 75. What are the numbers?

Answers

Answer 1

Answer:

The numbers are:

-10 and -5

Step-by-step explanation:

Let the first number = n

As one number is 5 more than another. So,

The another number = n + 5

Given that the difference between their squares is 75, so

n² - (n + 5)² = 75

n² - (n² + 10n + 25) = 75

n² - n² - 10n - 25 = 75

0 - 10n = 75 + 25

-10n = 100

divide boths sides by -10

-10n/-10 = 100/-10

n = -10

Thus,

The first number = n = -10

The other numebr = n + 5 = -10 + 5 = -5

Therefore, the numbers are:

-10 and -5

Related Questions

pls help me i neeed it first to answer gets a brainliest

Answers

Answer:

A

Step-by-step explanation:

Its counting up by 10 and going up by 2

Answer:

its c

Step-by-step explanation:

Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?

Answers

14-3=11, The answer is 11

Answer:

well I have this question too if you are doing amplify math so I got the soulutions x+3=14 and x=14-3.

Step-by-step explanation:

And for the x= part its x=11

solve and graph 3t - 12 < -9

Answers

Answer:

x = anything lower than 1

Step-by-step explanation:

x < 1

The constraint of inequality 3t - 12 < -9 is t < 1 and has been plotted on a number line.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Given the inequality

3t - 12 < -9

Add 12 on both sides

3t - 12 + 12 < -9 + 12

3t < 3

Divide by 3 into both sides

t < 1

Hence "The constraint of inequality 3t - 12 < -9 is t < 1".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Help please due today!!!

Answers

Answer:

C

Step-by-step explanation:

Ivy says:

f(1) = -100

f(n) = -100 + 50( n - 1 )f(1) = -100 + 50( 1 - 1 )f(n) = -100 + 50(0 ) anything times 0 is 0!f(1) = -100

You do that with the other numbers in the sequence. 2 = -50, 3 = 0 and so on

When you to n as 1, 2, and 3 they seem to all check out. So Ivy is right!

Andrey says:

f(1) = -100f(1)= -150 +50(1)f(1) = -150 + 50f(1) = -100

That's a little suspicious don't you think that both answers are right..

Essentially they are both the same equation!

So let's simplify Ivy's equation!

f(n) = -100 + 50( n - 1 )

f(n) = -100 + 50n - 50

f(n)= -150 +50n

Which is basically Andrey's equation and they both seem to be right for the sequence! So both of them are right!

Which statement best describes the function below? f(x)=2x^3+2x^3-x​

Answers

Answer:

A

Step-by-step explanation:

It is a one-to-onw function

Solve the right triangle.
Round your answers to the nearest tenth.


Answers

Answer:

b= 16.6

B= 46 degrees

c= 23

Step-by-step explanation:

find the tax sales on item divide the price of the item by 20 write an algebraic expression to find the sales tax on an item that cost three dollars find the sales tax on a television that cost $800

Answers

Answer:

Step-by-step explanation:

tax = 1/20 of price

1/20 of $3 = 1/20 × 3 = 3/20 = $0.15

1/20 of $800 =  1/20 × 800 = $40

A student in eighth grade notices that the current cost of of tuition, books, and fees at a 4 year college is $16,000 per year. The family reads that there is an annual increase of $450 per year.

What will the the total cost of tuition, books, and fees for this student when this student attends college for four years, after graduating high school?


$73,700

$75,700

$77,100

$78,900

Answers

Answer: It's  (B)  $75,700

Yep brainliest if correct

Answers

it d
2197
hope that helps

9514 1404 393

Answer:

  B)  -125

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  (a^2 -b^2)^3

  = (2^2 -(-3)^2)^3

  = (4 -9)^3

  = (-5)^3

  = -125 . . . . . matches choice B

What is the area,in square yards of the rectangle shown down below 12yd 15yd Answer choices are 225,54,180,27

Answers

Answer:

area of rectangle =length ×width

area of rectangle=12yd×15yd

area of rectangle=180yd²

A=lw
So 12*15=180

The answer is c

Please answe number 1 PLEASE

Answers

Answer:

i believe the answers D

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

whats the largest number that can round to 440000?

Answers

Answer:

439999.999999999999999

Step-by-step explanation:

at total of 2 feet of snow falls over three days on the first day 1/6 of the snow falls on the second day 7/12 of the snow falls




PLZZ HELPP

Answers

Answer:

[tex]Day\ 3 = 1\frac{3}{12}[/tex]

Step-by-step explanation:

Given

[tex]Total = 2ft[/tex]

[tex]Day\ 1 = \frac{1}{6}[/tex]

[tex]Day\ 2 = \frac{7}{12}[/tex]

Required

Determine the amount of snow on day 3

This can be calculated using:

[tex]Day\ 1 + Day\ 2 + Day\ 3 = Total[/tex]

Substitute values for the known parameters

[tex]\frac{1}{6} + \frac{7}{12} + Day\ 3 = 2[/tex]

Collect Like Terms

[tex]Day\ 3 = 2 - \frac{1}{6} - \frac{7}{12}[/tex]

Take LCM

[tex]Day\ 3 = \frac{24 - 2 - 7}{12}[/tex]

[tex]Day\ 3 = \frac{15}{12}[/tex]

Express as mixed number

[tex]Day\ 3 = 1\frac{3}{12}[/tex]

Find the product of (1)(3)(x).
Your
answer

Answers

Answer:

2/5.

Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.

Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.

Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.

Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15

Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5

Plz guys help I need help

Answers

Answer:

I'm gonna say C hopefully

Answer:

answer C is correct answer if wrong sory

Calculator
What is the value of x?
8 in.
15 in.
Enter your answer in the box.
5 in
X=
in.

Answers

Answer:

x = 24 in

Step-by-step explanation:

The corresponding  sides of similar triangle will be in same proportion.

[tex]\frac{x}{8}=\frac{15}{5}\\\\\frac{x}{8}=3\\\\x = 3*8\\x = 24[/tex]

Step-by-step explanation:

x/15 = 8/5

x = 15 * 8 / 5

x = 24

answer

x = 24 in

Which expression represents the sum of n and 7 multiplied by 3? *
1. n + 7 x 3
2. (n + 7) x 3
3. (n + 7) ÷ 3
4. (n - 7) x 3

Answers

Answer:

Step-by-step explanation:

(n+7)×3

Answer:

1.  n + 7×3

Step-by-step explanation:

The sum of n and 7 multiplied by 3:

n + 7×3

It is option 1

This is a tricky one but when reading carefully we see there is nothing that adds n to 7 before multiplying by 3, therefore it reads as n plus ( 7 multiplied by 3).

a coach on a motorway is travelling at a constant speed . in ten minutes it travels 16 kilometer

work out its travells

20 minutes
please answer

30 minutes

50 minutes

1 hour

Answers

Step-by-step explanation:

10 minutes= 16km

20 minutes= 16x2 = 32km

30 minutes= 16x3 = 48km

50 minutes= 16x5 = 80km

60 minutes = 16x6 = 96km

I hope this helps, have a great day! :) -wilzW

Can someone please urgently help me with this

Answers

Answer:

£ 268.2

Step-by-step explanation:

495(1/3)+124(0.5)+(495(2/3)-124)(0.2)=165+62+41.2

                                                            =268.2

Answer: £268.20

Step-by-step explanation:

1/3 of 495 is 165.

124 x .50 = 62.

165 + 124 = 289

495 - 289 = 206

206 x .20 = 41.20

165 + 62 + 41.20 = 268.20

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Answers

Answer:

its c because 1/4 of a dollar is 25 cents 1/2 of a dollar is 50 cents meaning kendall has 18.50$ and Joshua has 18.25

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Helppppppp pleaseee I’m confused

Answers

Answer:

I guess u turn it into fraction from i think

You turn 7/55 into a decimal to get your answer

Points C, A, and Bare collinear
How many labeled points are between points A and D?
zero
one
two
an infinite number

Answers

I think it’s zero, c is too far in the left and b lies below the two

82 - 2x - 10 factor each polynomia
l​

Answers

the answer to that equation is =2(36 - x) i’m pretty sure

Seven angles of an octagon measure 105, 139, 131, 115, 155, 138, and 145 degrees. What is the measure of the eighth angle?

Answers

Answer:

105 hopefully this helps you

Tyree wants to know if the value of -1 3/4, raised to the 12th power is a positive or negative number

Answers

9514 1404 393

Answer:

  positive

Step-by-step explanation:

The exponent 12 tells you how many times (-1 3/4) is a factor in the product. The number 12 is even, so there will be an even number of minus signs in the product. That results in a positive product.

__

The value is ...

  825.005006849765777587809625

What number is 120% of 16?

Answers

Answer:19.2

Step-by-step explanation:

х2 - 6х + 40 = (х + 5

Answers

x^2 - 6x + 40 = x + 5

Solution for quadratic equation

Subtract 40 from both sides.

x^2 - 6x + 40 - 40 = x + 5 - 40

= x^2 - 6x = x - 35

Subtract x from both sides.

x^2 - 6x - x = x - 35 - x

= x^2 - 7x = -35

Rewrite the equation in the form
(x + a)^2 = b

(x - 7/2)^2 = - 91/4

Answer

x = 7/2 + sqroot 91/2,
x = 7/2 - sqroot 91/2

Solution to simplify

Group like terms

x^2 - 6x + 40 = x + 5
x^2 - 6x - x = 5 - 40
x^2 - 7 = -35

Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?

Answers

A 10% tip would be $7.50, so a$7 tip is too little

Answer:

a $7 tip is too little

Step-by-step explanation:

The distance a vehicle travels can be found by using the formula d = rt, where d is the total distance traveled, r is the rate of speed, and t is the amount of time spent traveling. Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour. To the nearest hour, how many hours does she spend driving?

Answers

Answer:

She spends 2 hours driving.

Step-by-step explanation:

The formula given is:

[tex]d = rt[/tex]

In which d is the distance traveled, r is the rate of speed, and t is the amount of time spent traveling.

Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour.

This means that [tex]d = 80, r = 50[/tex]

To the nearest hour, how many hours does she spend driving?

We have to find t. So

[tex]d = rt[/tex]

[tex]50t = 80[/tex]

[tex]t = \frac{80}{50}[/tex]

[tex]t = 1.6[/tex]

Rounding to the nearest hour

She spends 2 hours driving.

What are the coordinates of the point on the directed line segment from (-7, 10) to
(-2,-5) that partitions the segment into a ratio of 2 to 3?

Answers

line segment from (-10,-3) to (1,7)
a ratio of 2 to 3 means that the line segment is divided into 5 equal pieces
let (x,y) be 2/5 of the way from (-10,-3) to (1,7)
what is the distance of the segment ?
use the distance formula to find the distance of the segment
√(11^2+10^2)=√221
-10 to 1 is 11 units, 2/5(11)=4.4
-3 to 7 is 10 units, 2/5(10)=4
-10+4.4=-5.6
-3+4=1
the point is (-5.6,1)
check:
find the distance from (-10,-3) to (-5.6,1)
find the distance from (-5.6,1) to (1,7)
these distances should add up to √221
first distance:√[(4.4^2)+4^2]=√35.36
second distance:√[(6.6^2)+6^2]=√79.56
√35.56+√79.56=√221
5.946+8.919=14.866
14.865≈14.866
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