Mathematics Middle School

The difference between two positive numbers is 40 and the ratio of these integers is 1:3.Find the integers.

Answers

Answer 1

Answer:

the two integers are 20 and 60

Step-by-step explanation:

Let x and y be two positive numbers ,where x < y.

• The difference between the two positive numbers x and y is 40.

 Means

y - x = 40

• the ratio of these integers is 1:3

 Means

y = 3x

We obtain these two equations:

y - x = 40

y = 3x

Solving the system of equations by substitution :

y - x = 40

y = 3x

⇔

3x - x = 40

y = 3x

⇔

2x = 40

y = 3x

⇔

x = 20

y = 3 × 20 = 60

Related Questions

HELP
Jack wants to model a situation where the perimeter of the rectangle below is 6 ft plus or minus 1.5 ft.

Answers

Answer:

Step-by-step explanation:

The perimeter of the rectangle is given as:

The perimeter of a rectangle is:

So, we have:

Substitute values for length and width

Split

or

or

Divide both sides by 2

or

Solve for x

or

or

Both values of x are negative.

This means that; the absolute value model cannot work, because a rectangle cannot have a negative dimension.

Hence, option (c) is correct.

Read more about perimeters at:

brainly.com/question/6465134

Answer would be + 1.5 ft. The bottom is larger than the side

What is the sum of -45 and 17?

28
-28
-62
-32

Answers

-28

(-45)+17=-28

So the answer is b
The answer is -28

-45 + 17 = -28

Please hurry will give braliny

Answers

Step-by-step explanation:

answer is 11 or d

squareroot 25=5

so 5-5=0

3²=9

so 9+2=11

Answer:

I believe its C, I could be wrong tho

Which row of the input/output table is incorrect?

y = 3x - 4
x y
A 2 2
B 5 8
C 6 14
D 8 20

Answers

Answer:

B 5,8

Step-by-step explanation:

3(5)-4 = 11 not 8

B 5,8

5x 4=11 is false

Please hurry will give braliny

Answers

Answer:

Step-by-step explanation:

I think it is A.

My reasoning for this is because

Step 1) 3^2=9
Step 2) 8-9=-1
Step 3) -1X9=-9
Step 4) -9-6= -15

Answer A is correct

Hope this helps

Did I do it right? Grade 7 math

Answers

Answer:

You have all the right answer except for the last one it should be 20 not 22

Step-by-step explanation:

Here's way she is buying two candles which is $12 then to rush it it is an extra $8 adding them together you get only $20.

Please hurry will give braliny

Answers

Answer: D

Step-by-step explanation:

Follow the PEMDAS rule.
It’s not A, because when you solve 2^2 and sq rt of 4, the square exponent and the square root cancels out, so it’s simply 2 x 4. Then you follow by doing division and multiplication, 45/5 is 9 and 2 x 4 is 8, so 9+8=17.

It’s not B, because first solve the numbers in the parentheses. 2^2 is 4, 5+4 is 9. Then solve the square root of 4 which is 2, and you get 45/9x2, which is 10.

It’s not C because 2^2 is 4 and sq rt of 4 is 2, and 4-2 is 2. Then divide 45 by 5 to get 9, and 9+2 is 11.

The correct answer is D, because when you solve 2^2 which gives you 4 and add that to 5, you get 9. The sq rt of 4 is 2, so you get 45/9-2, which is 3.

Hope this helps!

The answer is D. Checked by a calculator

in November, MS Calistro's students read 20 books in December they read 16 books. What is the percent increase or decrease of books they read

Answers

Answer:

20 percent decrease

Step-by-step explanation:

20% is the percent that they read!

Divide the following integers.

-12 � 4=

-8
-3
-48
3

Answers

Answer:

3

Step-by-step explanation:

a begative divided by a positive is a negative and 12/4 is 3 so it becomes -3

Answer:

-3

Step-by-step explanation:

Pls help I don’t know how to turn these decimals into fractions and it is hw for tomorrow

Answers

Answer: -342.7074

Step-by-step explanation: first multiply 7(-2.655), which is -18.585. since only one of the numbers is negative, the product will also be negative. multiply -18.585 by 18.44. this is equivalent to -342.7074.

-342.7074 hope this helped

Help please. Screenshot if below:

The table shows the changes in the times (in seconds) of four teammates. What is the mean change? Write your answer as a decimal. {picture}
The mean change is _____second(s).

Answers

Answer: - 1.28

Hope this help you and or any other person that needs this :)

Step-by-step explanation:

Can you please help me?

Answers

Answer:

3 and 7

Step-by-step explanation:

Answer:

B - Angles 3 and 7

Hope this helps :)

Step-by-step explanation:

The alternate interior angles are angles that are inside the two lines and diagonally on opposite sides of the transversal.

Select the example which illustrates the distributive property of 7 × 39

(7 + 3) (7 + 9)

(7 × 30) + 9

39 × 7

7(30 + 9) = 7(30) + 7(9)
THIS IS URGENT- BLUE!!!

Answers

Answer:

d) 7(30 + 9) = 7(30) + 7(9)

Step-by-step explanation:

Distributive method:

a(b + c) = ab + ac

Here given:

7 × 39

Among the option's:

1st option (7 + 3) (7 + 9) is wrong, changes final answer.

2nd option (7 × 30) + 9 is wrong, changes final answer.

3rd option 39 × 7 shows commutative property of multiplication.

4th option show distributive method.

It would be the 4th answer. It is the only choice that shows the 7 being distributed onto the 30 and 9 and it still gives you the right answer

What is 10/11 as a decimal?

Answers

Answer:

0.90909091

10/11 as a decimal is 0.90909091

Answer:

Step-by-step explanation:

The fraction 10/11 can be written in decimal form as 0.9091.

Use the fact that 13x17=221 to find the following and explain how you found each solution
13 × 1.7
130 x 17
13 x 1700
I do not understand what it wants me to do please help

Answers

Answer:

13 × 1.7

130 × 17

13 × 1700

13 × 17× 100

221 × 100

22100

So the answer is 22100

(13 x 17 = 221) given info

13 x 1.7 =22.1

130 x 17 =2210

13 x 1700 = 22100

Explanation: i believe your learning about how to move your decimal place. If you see the given information 17 is the number we are looking at. When the first equation comes up, there’s a decimal making 17 -> 1.7 . Then you move the decimal in the other direction making the 17. turn to 170. then 1700. Making your answer 22100

A teacher needs to buy yarn for her students to make a craft in
class. If each student needs 1 1/4 feet of yarn, how many feet of yarn
should the teacher buy for the following 10 students?
a. 10 1/40 feet c. 12 1/2 feet
b. 3 1/2 feet d. 10 1/4 feet

Answers

Answer:C 12 1/2 feet

Step-by-step explanation:1.25 times 10 = 12.5

The answer is C!
I hope this helps!

PLEASEE HELP ME
Referring to the figure, find the area of the rectangle shown.
a. 48 m2 c. 567 m2
b. 96 m d. 2,268 m2

Answers

Answer:

c

Step-by-step explanation:

area is length multiply width 21 and 27 is 567m2

THE ANSWER WOULD BE
B IS THE CORRECT ANSWER

9.(5)²
HELP ME !!!!!!!!

Answers

Answer:

225

Step-by-step explanation:

5 Times The Square Root Of 2 Is 25, Then I Multiplied That My 9, and Im 100% Sure 225 Is Correct.

Hope This Helps.

Will give 20 points to whoever answers

Answers

Answer: I hope this helps.

Step-by-step explanation:

can you please help me

Answers

Yes, I can’t see the picture though
there is no picture tho

What inequality is graphed below?

Answers

Answer:

x is less than or equal to 1.5

(less than sign with a bar below it)

× is less than or equal to 1.5

Please help asap its okay if you get it wrong i wont judge.

Answers

Answer:

hm... 9

Step-by-step explanation:

read warriors

by eren hunter

X=8
2x8=16
17-7=9
Trust me this is correct!

Please hurry will give braliny

Answers

Hello,

[tex]( {c}^{2} + {d}^{2} ) - 2( {c}^{2} - {d}^{2} )[/tex]

[tex] = (( - 2) {}^{2} + 2 {}^{2} ) - 2(( - 2) {}^{2} - 2 {}^{2} )[/tex]

[tex] = (4 + 4) - 2(4 - 4)[/tex]

[tex] = 8 - 2 \times 0[/tex]

[tex] = 8[/tex]

Answer:

d or 16

Step-by-step explanation:

(-2²+2²)-2(-2²-2²)

-2(-4-4)

8+8=16

Which expression represents the sequence of operations described below?
subtract 4 from 8, then multiply the result by 5

Answers

Answer:

(8-4)×5

Step-by-step explanation:

expression is as above

Answer:

(8-4) • 5 = 20

Step-by-step explanation:

first you solve what is in the parentheses;

8-4 which = 4

then you multiply 4 by 5 which is 20

-0.2 x -5/6 pls help

Answers

Answer:

⅙ or 0.166666667

Step-by-step explanation:

Answer is 1/6 is the same as -01.66 either way is fine

PLS help me 30p + brainlyest

Answers

Answer: is five over 8

Step-by-step explanation:

Answer: 8 over 5 :p

Step-by-step explanation:

ANSWER THIS CORRECTLY TO BE BRAINLIEST

Answers

Answer:

Q6. -5/2

Q7. -7/24

Q8.  127/24

Q9. 151/12

Step-by-step explanation:

Q6. (−3/4)+(−7/4) = -3-7/4 = -10/4 = -5/2

Q7. 3/8 - 2/3 = 3*3/8*3 - 2*8/3*8 = 9/24 - 16/24 = 9-16/24 = -7/24

Q8. 18+2/3 - 8+3/8 = 20/3 - 11/8 = 20*8/3*8 - 11*3/8*3 = 160-33/24 = 127/24

Q9. 12+1/4 + 27+1/3 = 13/4 + 28/3 = 13*3/12 + 28*4/12 = 39 + 112/12 = 151/12

8 : 5 7/24
9 : 32 1/3

Find 3 consecutive odd integers such that the sum of 2 times the first and the last term is equal to 5 times the middle integer.

Answers

Answer: 10

Step-by-step explanation:

Anwser is 10.................

Minya is looking at a map that is drawn to a scale in which 0.25 inch represents one mile. If the map shows 3.4 inches between her house and her school, how many miles does she live from school? Did you multiply or divide to find your answer?

Answers

Answer: you would need to multiply to find the correct answer.

You are going to need to multiply

PLS HELP ME WITH THIS!!! THIS IS DUE TOMORROW!!! b − 7/4 = -2/3
What is b?

Answers

Exact form:
1/4

Decimal form:
0.25
B is 13/12 which can be put into a mixed number as 1 1/12

Here is the shown work:
4x+(-7)/4=-2/3
4x-7/4=-2/3
3(4x-7)=4(-2)
3(4x-7)=-4 times 2
3(4x-7)=-8
3 times 4x - 3 times 7 =-8
12x-21=-8
(12x-21)+21=-8+21
12x-21+21=13
12x=13
12x/12=13/12
X=13/12
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