10. One number is twenty more than eight times another number. The sum of the
numbers is eleven. Find the two numbers.

Answers

Answer 1

Answer:

the two numbers are 12 and -1.

Step-by-step explanation:

Let the large number be represented by x and the smaller number by y.

So that;

x = 8y + 20 .................. 1

x + y = 11 ................... 2

From equation 2,

x = 11 - y .......... 3

Substitute equation 3 into equation 1 to have,

11 - y = 8y + 20

11 - 20 = 8y + y

-9 = 9y

divide through by 9 to have,

y = -1

Substitute the value of y in equation 3,

x = 11 - (-1)

  = 11 + 1

  = 12

x = 12

x = 12, y = -1

The two numbers are 12 and -1.


Related Questions

5cd.(-cd)
Monomials and polynomials

Answers


If you can reword this I might be able to help you but I don’t understand it in this wording 5cd

In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?

Answers

Answer: the peaches were a lighter shade of orange

3 There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?

Answers

Answer:

Number of boys = 675

Step-by-step explanation:

Given that:

There are 5 times as many boys as girls in a school.

Number of pupils in school = 810

Let,

x be the number of girls

y be the number of boys

According to given statement;

x+y=810      Eqn 1

y = 5x         Eqn 2

Putting y=5x in the Eqn 1

x+5x=810

6x=810

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{810}{6}\\x=135[/tex]

Putting x=135 in Eqn 2

y = 5(135)

y = 675

Hence,

Number of boys = 675

Percent is always out of _________ ?

Answers

Answer:

Percent is always out of 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Is this a positive trend or negative trend or no trend please help ​

Answers

Answer:

negative trend because the values are decreasing

Find the height of an equilateral triangle with side length 8.

Answers

Answer:

4 root 3

Step-by-step explanation:

formula of height equalitral triangle:

side/2 root 3:

side = 8

8/2*root 3

4 root 3

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it

Answers

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]

in the figure, AC=20cm CD=22cm and AE=16cm find the length of BD.

Answers

Answer:

17.6 cm

Step-by-step explanation:

Area of triangle equals to half of the base times height, i.e. A = 1/2 × b × h.

1/2 x 22 x 16 = 1/2 x 20 x BD

BD = (1/2 x 22 x 16) / (1/2 x 20)

BD = 17.6 cm

What is the area of a circle with a radius of 5 inches?
Use 3.14 for a
Enter your answer as a decimal in the box.
in?

Answers

Answer:

78.54in²

Step-by-step explanation:

i used the formula

Circle geometry please help,

Answers

Answer:

7. Inscribed angle

Step-by-step explanation:

7. Inscribed angle

8.

y° = 70°

z° = 140°

8. y° and 70° are the measures of the angles subtended in the same arc. So, they would be equal.

Therefore, y° = 70°

Measure of central angle is two times the measure of the inscribed angle.

Therefore,

z° = 2* 70° = 140°

A biologist is recording the loss of fish in a pond. He notes the number of fish, f, in the pond on June 1. On July 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on June 1. What is the number of fish in the pond on June 1?

Which equation can be used to find the number of fish in the pond on June 1?


63−f=52

f−52=−63

f−52=63

f−63=−52

Answers

Answer:

the correct answer should be f-52=63

Step-by-step explanation:

Solve (9 - 3 x 2)^2 someone help me please im failing

Answers

Answer:

9

Step-by-step explanation:

Using PEMDAS, we do what inside the parentheses first.

Multiplication before subtraction:

9-6 = 3.

Finally, 3^2 = 9

Pended for the parenthesis:
9-6 = 3
3^2 = 3*3
The answer is 9

the robots are powered on coffee alone. they use two bags of coffee each day.how long will 1/4 bag last?

Answers

Answer:

One robot will be powered for an eighth of a day (1/8 of a day) by one quarter (1/4) of a bag of coffee.

Answer: 3 hours

Explanation: There are 24 hours in a day, and the robots use 2 bags of coffee a day, so you gotta do 24/2 and that means 1 bag of coffee lasts 12 hours. Next, the question is how long does 1/4 bag last, so you do 12/4 and get 3, therefore the correct answer is 3 hours. Hope this helped!

60 sixth grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?

Answers

Answer:

240

Step-by-step explanation:

25% =1/4

if 1/4 of class is 60, the class have 60x4 students

my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​

Answers

Answer:

84

Step-by-step explanation: (edited)

52% problems are pointless i.e. 48% are NOT pointless.

Recall that 1% = 1/100.

Therefore 48% = 48/100 = 12/25.

Let x be the number of problems that are not pointless.

x/175 = 12/25

x = 84

Answer:

84

Step-by-step explanation:

According to the question

175×48%

175×48/100

7×48/4

7×12

84

x+2+2x+1+x-6= 45 what is X?
12
60
15
16
SOLVE QUICKLY I WILL GIVE BRAINIEST!!!

Answers

the answer would be 12

a. The sum of a number and one is equal to one added to the number.

Answers

Equal to the number that your didviding or multiplying

R IN Complete the following statement. The quotient of 5 = A is equal to the quotient of A +5. А. B C D E O== 0 1 NEXT QUESTION O ASK FOR HELP​

Answers

A=5 and 0=5A is there answer

Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?

Answers

Answer:

372/12=31

31mpg

Step-by-step explanation:

Alex's car drove 31 milesnper gallon of gasoline

Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes

Answers

Answer:

Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour

As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches

Step-by-step explanation:

I hope this helps and I’m not to late.

32. The price of a box of tarts is $1 cheaper than that of a loaf of bread. If 3 times the price of a
loaf of bread is $29.5 more than half of the price of a box of tarts, find the price of a box of
tarts.
A. $4.3
B. $7.7
C. $9.84
D. $13

Answers

Answer: $8.60

Step-by-step explanation:

Let the price of a bread = x

Let the price of a tarts = x - 1

If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:

3 × x = 1/2 × (1 - x) + 29.5

3x = 0.5 - 0.5x + 29.5

3x + 0.5x = 29.5 + 0.5

3.5x = 30

x = 30/3.5

x = 8.6

Please help me ASAP

Answers

Answer:

With What

Step-by-step explanation:

It’ll go from lowest temp to highest.
1. Gainesville
2. Alford
3. Follett
4. Fowlerton

A sports store marks up t shirts it sells by 60% if the store bought a t shirt for 6.25 what will be the retail price

Answers

Answer:

I believe its 3.75

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

6.25×60% = 3.75

3.75+6.25 = 10

$10

Can I have help please I don’t know how to do this

Answers

Answer: i think it may be a

Step-by-step explanation:

Find all solutions of sinx-sqrt1-3sin^2x=0

Answers

Answer:

what

Step-by-step explanation:

that doesnt make any sense

(-30i) +(52-30i) express your answer in the form (a+bi)

Answers

Step-by-step explanation:

-30i + 52 - 30i

= 52 - 60i.

Here a is 52 and b is -60.

Draw 9:10 on a clock

Answers

Answer:

put the short hand at nine

Step-by-step explanation:

put the long hand and 10 minutes

Answer:

you can draw on your notebook and draw the clock

Look at the following expression. Which operation should be done first?
23 – 5 × 4 + 32 (a small 2 next to the 3)
1.) 5 × 4
2.) 32 (small 2)
3.) 4 + 3
4.) 23 – 5

Answers

Answer

2.

Step-by-step explanation:

if there where 10 apples and my frend took 6 how many do i have

Answers

Answer:

10-6=4

if your friend took 6 apples out of the 10 you have you would have 4 left.

Step-by-step explanation:

At the end of school, Josh's teacher handed out 27 coupons for bowling during the summer to each student. The third week of
summer, he accidentally threw away 15 of them when he cleaned his room. The last week of summer, he decided to use the
remaining coupons evenly over 3 days.
If he did not use any of the coupons until the last week of summer, how many coupons did he use on each of the 3 days?

Answers

The answer would be 4 Coupons

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