Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.

Answers

Answer 1
Let n = the smaller of the two numbers, and since the other number is 5 more than twice the smaller number n, then ...

Let 2n + 5 = the second and larger number.

Since the sum of the two unknown numbers is 26, then we can write the following equation to be solved for n as follows:
n + (2n + 5) = 26

n + 2n + 5 = 26

Collecting like-terms on the left, we get:
3n + 5 = 26

3n + 5 - 5 = 26 - 5

3n + 0 = 21

3n = 21

(3n)/3 = 21/3

(3/3)n = 21/3

(1)n = 7

n = 7

Therefore, ...
2n + 5 = 2(7) + 5
= 14 + 5
= 19

CHECK:
n + (2n + 5) = 26
7 + (19) = 26
7 + 19 = 26
26 = 26

Therefore, the two desired numbers whose sum is 26 are indeed 7 and 19.

Hope this helps :)

Related Questions

somebody help me out !

Answers

Answer:

224

Step-by-step explanation:

Hello!

To find f(-7) you simply plug the value, -7, into the function.

This will get you:

f(-7) = 4(-7)^2 - 4(-7)

Remember that the square of a negative number is a positive! Also, remember to use the order of operations (PEMDAS)!

This will get you:

f(-7) = 4(49) - 4(-7)

f(-7) = 196 - (-28)

f(-7) = 224

Hope this helps!

Anyone know the answer to this?

Answers

Answer:

Diameter : 22.568 cm

Step-by-step explanation:

Hope this Helps!

Fern bought groceries that cost $14.38. She paid the
store clerk, Ping, with a $20 bill. Ping makes change by
saying
2 pennies makes the total $14.40.
6 dimes makes it $15.00, and
6 dollars makes it $20.
pril
Did the clerk make a mistake in giving Fern her change?
You may use the scratchpad to show your work.
No, she received $6.62 in change.
8
Yes, Ping should give Fern 6 pennies and 2
dimes.
Yes, Ping should give Fern 3 dimes and 8
pennies.
Yes, Ping should give five one-dollar bills, not
SIX

I NEED HELP ASAP SOMEONE ANSWER AS SOON AS YOU CAN MAYBE YEA THANKS BYE

Answers

Answer:

Yes, Ping should give five one-dollar bills, not

SIX

Step-by-step explanation:

I answered this question on

https://brainly.com/question/23795763

It wasn't the same question but yes

hey! please help with this!!! Write all the 12 answer of measurements. If you can’t do it and you think it’s a lot you don’t have to! okay but I need this done asap! thank you so much have a amazing day!!! :) *spam? May b!*

Answers

Answer:

1) 1 and 4

2) 1 and 2

3) 1 and 5

4) 2 and 3

5) 130°

6) 90°

7)25°

8) 115°

What is the area of the polygon given below?

Answers

Answer:

C, which is 340!

Step-by-step explanation:

Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)

The area of polygon = 340 square units.

How to estimate the area of the polygon?

Area of rectangle = Length [tex]\times[/tex] [tex]\tmes[/tex]breadth

Area of rectangle (side A) = 19 [tex]\times[/tex] 4 = 76

Area of rectangle (Side B) = 24 [tex]\times[/tex] 14 = 264

To estimate the area of the polygon, add both of the equations then we get

Area of the polygon

= Area of a rectangle (side A) + Area of a rectangle (Side B)

= 76 + 264

Area of the polygon  = 340 square units.

Therefore, the correct answer is option C. 340 square units.

To learn more about polygon

https://brainly.com/question/20110859

#SPJ2

Slope of (-5,12), ( -9, 16)

Answers

The slope is -1
hope this helps

A motorboat moves across a lake at a constant speed. When it begins it is 64 km from shore after 17 mins it is 30km from shore which function describes the motorboat distant from shore

Answers

Step-by-step explanation:

I think it is either 28⅛ or 60

The probability of spinning an odd number, flipping heads and then spinning a 3 is?

Answers

Answer:  5/162

===================================================

Work Shown:

A = probability of landing on an odd number

A = 5/9 because there are 5 odd numbers out of 9 total

B = probability of getting heads

B = 1/2

C = landing on 3 on the spinner

C = 1/9

Multiply the values of A,B,C

A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162

Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%

What is the simplest radical form of the expression? (8x5y3)23

Answers

This may be incorrect, so sorry if it is! The answer I got is 2760y.

PLEASE HELPPP URGENTTTT HIRRRYYY

Answers

Answer:

c

Step-by-step explanation:

m=28g

m=28(20)

m=560

Correct answer is c -took test

write an equation of the line in standard form that represents each graph

Answers

Answer:

x+y=3

Step-by-step explanation:

y=mx+b

m=-1

b=3

y=-x+3

add x over for standard form

x+y=3

If 7x - 4y = 23 and x + y = 8, what is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

7x - 4y = 23 and x + y = 8

Multiply the second equation by 4

4x + 4y = 32

Add this to the first equation

7x - 4y = 23

4x + 4y = 32

------------------------

11x    = 55

Divide each side by 11

11x/11 = 55/11

x = 5

Answer:

[tex]\huge\boxed{x=5}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5[/tex]

Hey there, please help me. Thank you

Answers

Answer:

x=5

Step-by-step explanation:

32 = 2^x

Rewrite 32 as 2^5

2^5 = 2^x

Since the bases are the same, the exponents are the same

5 =x

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]2^{5}=2*2*2*2*2=32[/tex]

Hope this helps



1
63°
m
n
find the value of x


Answers

Answer:

I believe its 63°......,.,..,.,.,.,

PLS HELP PLS In the diagram below, ΔABC ≅ ΔDEF. Complete the statement ∠B ≅

A. ∠D
B. ∠A
C. ∠C
D. ∠E

Answers

Answer:

Angle B is congruent to Angle E.

Step-by-step explanation:

Also, if youve read Romeo and Juliet, please help me! My essay is due tomorrow. I just need informal help, no specific lines or anything

In the diagram below, ΔABC ≅ ΔDEF. Therefore, by CPCT, ∠B = ∠E.

What is CPCT?

Corresponding parts of congruent triangles or CPCT is used to denote the relation between the sides and the angles of two congruent triangles.

Since, ΔABC ≅ ΔDEF,

AB = DE

BC = EF

AC = DF

∠A = ∠D

∠B = ∠E

∠C = ∠F

Learn more about CPCT here

https://brainly.com/question/21360865

#SPJ2

Please help me it's urgent!

Answers

Answer:

2nd one

Step-by-step explanation:

como se lee log 27=3

Answers

Step-by-step explanation:

log 27 a la base 3 = 3 (In spanish)

log 27 to the base 3 = 3

Solve for y.
3= y+7 divided by 3

Y=

Answers

Answer:

y=2

Step-by-step explanation:

3 = (y+7)/3

Multiply each side by 3

3*3 = (y+7)/3 *3

3*3 = y+7

9 = y+7

Subtract 7 from each side

9-7 = y+7-7

2 =y

Answer:

2 = y

Step-by-step explanation:

3 = y + 7 ÷ 3

multiply both side of equation by 3

3 × 3 = y + 7 ÷ 3 / 3

9 = y + 7

subtract 7 from both side

9 - 7 = y + 7 - 7

2 = y

Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.​

Answers

answer is

B. 6√2

hope this helps!

Riley has 3 hours to play before dinner. She spends 3/5 of that time playing outside. How long does riley play outside

Answers

Answer:

1.8 hours

hope that helps<3

Answer:

1.8 hours is the answer

What is the image of (10, -12) after a
dilation by a scale factor of centered at the
origin?

Answers

Answer:

-5, -3

Step-by-step explanation:

Which 2 of these triangles have the same angles as each other? NEED ANS ASAP GIVING U 15points

Answers

A and B


























Hope this helps

To make 3 glasses of orange squash you need 600 ml of water. How much water do you need to make: a) 5 glasses of orange squash, b) 7 glasses of orange squash?​

Answers

Answer:

To make 3 glasses of orange squash you need 825 ml of water and 75 ml of orange cordial

Step-by-step explanation:

two dice are rolled write the sample space and number of sample points also write events and number of sample points in the event according to the given condition sum of the digits of upper faces is a prime number , sum of the digits on the upper face is a multiple of 5 , sum of the digits on the upper face is 25 and digit on the upper face at the first die is less then then the digit on the second die​

Answers

Answer:

S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36

E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15

Step-by-step explanation:

thats the answer

Factorize the following 3x + 12

Answers

Answer:

if this was a equation you would first subtract 12 from the other number then divide it by 3

Answer:

3(x+4)

Step-by-step explanation:

Check 3(x+4), when you use the distributive property, you get 3x + 12, so this is correct. (sorry, I'm really bad at explaining...)

Alissa's budget is shown in the circle graph below. Her total monthly budget is $1,500. How much dos Alissa spend on rent?

Answers

Answer: C) $450

Step-by-step explanation:

If her rent is 30% of her total budget we can multiply by 0.3 to find how much is spent on rent.

1500x0.3=450

Alissa spends $450 on rent.

Answer:

C

Step-by-step explanation:

1. Find how much 30% of $1500

(30/100) x $1500 or ($1500 x 100)/30

2. Finish.

Hope this helps

Ratio Question:

Florence washed 3 cars, Caragh washed 4 and Anona washed 5. Anona earned £16 more than Florence. Work out how much each earnt.

Answers

Answer:

i dont under stand but i will just ask for help to my father

Step-by-step explanation:

i dont wnow the answer!???

Answer:

Step-by-step explanation:

[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]

[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]

[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]

[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]

 [tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex]                    [tex][ \ cross \ multiply \ ][/tex]

[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]

[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]

Therefore ,

                 Florence earned $24

                 Anona earned 24 + 16 = $40  

                 Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32

                 

(30 points PLS HElP)
Type the correct answer in each box.
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base.
Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:
V =äa2h
Here, ais the side length of the pyramid's square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
2+
= 0 can be used to find that the
length of the sculpture's base is
centimeters.

Answers

Step-by-step explanation:

the answer is in the image above

Answer:

x = 9 cm

Hope this helps you.

Help me please quickly

Answers

Answer:

well it's technically 23.66, but I guess you can round it up to 24

The perimeter of the outer square in thiæ pattern is 8
Ron says, “The perimeter of the inner square is 4"
Do you agree with Ron? Yes
Show workings to support your answer.

Answers

Answer:

The answer is Yes .. Ron is correct

Step-by-step explanation:

This is because each side of the outer square is 2 units summing up to 8 units. So dividing each into two equal parts give 1 unit each.

Each side of the inner square divides the outer square into two making each side 1 unit.

The inner square thus takes 1 unit for it's side summing the perimeter to 4 units.

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