One number is 4 more than another and their sum is 60.

If x = the larger number and y = the smaller number, then which of the following is the value of the smaller number?

Answers

Answer 1

The larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60. This can be obtained by forming algebraic equation and finding

Calculate the value of the numbers:

Given that one number is 4 more than another,

⇒x = y + 4              (equation (1))

Their sum is 60,

⇒x + y = 60

y + 4 + y = 60      (From (1))

2y + 4 = 60

2y = 56 ⇒ y = 28

x = y + 4 = 28 + 4 = 32

Hence the larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60.

Learn more about algebraic expressions here:

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Related Questions

help help help plz plz plz

Answers

Answer:

x = 7

All 8 angles measure 135°

Step-by-step explanation:

(n-2)·180 = (8-2)·180 = 1,080°; this is the total of all interior angles

each angle is equal so we can divide 1080 by 8 and find that each angle measures 135°

to solve for 'x':

16x + 23 = 135

16x = 112

x = 112/16

x = 7

check:  16(7) + 23 = 135

             112 + 23 = 135

             135 = 135

What is The slope of (6,5) and (14,35)

Answers

Answer:

15/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(35-5)/(14-6)

m=30/8

simplify

m=15/4

Answer:

Step-by-step explanation:

Slope is defined as

m=(y2-y1)/(x2-x1), we have points (6,5) and (14,35) so

m=(35-5)/(14-6)

m=30/8

m=3.75

the difference of a numder 9 is less than 2

Answers

Answer:

Step-by-step explanation:

I think you mean

n-9<2

n<11

There are 560 students in a school.If the ratio of the boys are girls is 4:3,find their numbers.

Answers

Answer:

320 / 240 = 4 / 3

Step-by-step explanation:

4 / 7 = x / 560

 

Cross-multiply:

 

7x = 2240

 

Divide by 7:

 

x = 320

 

The school has 320 boys and 240 girls.

hope this helps

Answer:

320 : 240

Step-by-step explanation:

4 + 3 = 7

560 / 7 = 80

so 1 is 80

4 x 80 : 3 x 80

320 : 240

Kimmie solves the follow expression, looking at her steps, explain her mistake.
3x (3+ 12 = 3)-4
3x (15 = 3)-4
3x5-4
15-4
11

Answers

Answer:

-6.67

Step-by-step explanation:

3x(3+12=3)-4

3x(15=3)-4

3x(15/-3)-4

3x(-5)-4

3x(20)

x=20/-3

x= -6.67

I need to figure out whether or not this is a solvable equation. HELP

Answers

Answer:

its not

Step-by-step explanation:

Answer:

yeah this question i s solvable

Step-by-step explanation:

[tex] \frac{1}{3} (4 + 2) = - \frac{2}{5} (4 - 9)[/tex]

[tex] \frac{1}{3} \times 6 = - \frac{2}{5} \times ( - 5)[/tex]

please try ti do it on thi way

PLEASE MARK ME AS BRAINLIEST

4/5 + (-9/11) i need help please

Answers

Answer:

-1/55

Step-by-step explanation:

exact form -1/55

decimal form -0.018

plz mark as brainliest

thank you

19NBoli

Answer:

[tex]-\frac{1}{55}[/tex]

Step-by-step explanation:

Hi! Ace here.

Whenever we have a positive being added to a negative, we can just do the positive subtracted my negative.

So let's rewrite this:

[tex]\frac{4}{5} -\frac{9}{11}[/tex]

When subtracting and adding fractions, we have to make sure there is a common denominator, and if there isn't a common denominator, then we make a common denominator. The LCM, in this case, is 55, so let's convert the fractions.

[tex]\frac{4}{5} *\frac{11}{11} =\frac{44}{55}[/tex]

[tex]\frac{9}{11} * \frac {5}{5} = \frac{45}{55}[/tex]

Since [tex]\frac{11}{11}[/tex] and [tex]\frac{5}{5}[/tex] both equal 1, the fraction is the same value.

Now we subtract normally with our "new" numbers.

[tex]\frac{44}{55}- \frac{45}{55}[/tex][tex]=-\frac{1}{55}[/tex]

I hope this helped, let me know if you have any questions.

2 to the power of 6 times 9x if x=12

Answers

Answer:

[tex]6 {}^{2} = 36 [/tex]

[tex]x = 12[/tex]

[tex]9 \times 12 = 108[/tex]

[tex]108 \times 36 = 3888[/tex]

A rectangle has a perimeter of 124 units. If the length is 5 more than 2 times the width, what is the width.

Answers

Answer:

19 units

Step-by-step explanation:

Perimeter of the rectangle = 124 units

width = x units

length = 5 + 2x units

The perimeter of a rectangle is given by;

P = 2(l + b)

Substituting values;

124 = 2[(5 + 2x) + x]

124 = 2[5 + 3x]

124 = 10 + 6x

124 - 10 = 6x

114 =6x

x= 114/6

x = 19

width = 19 units

HELPPPPPPPPP!! ASAP IT WOULD BE GREATLY APPRECIATED

Answers

Answer:

I believe option 4

12x + 24y + 18z using GCF

Answers

Answer: 6
Hope this helps : )

Which of the following is a Pythagorean triple?

Answers

D because (5^2)= 25 + (12^2)=144 = 169. (13^2)=169. 25+144=169

Answer:

D (3,4,6)

Step-by-step explanation:

I took thee test

What can be concluded if ∠EJS and ∠SJV form a linear pair?

Answers

Answer:

They are supplementary.

Step-by-step explanation:

A linear pair consists of two opposite angles whose non-common sides create a straight line. If a linear pair consists of two angles, then they are supplementary

simplify the following without a calculator leave your answer with positive exponents


[tex](0.008) \frac{2}{3} [/tex]

Answers

It would be simplified: 2/375

The box plot below represents the ages of campers at a summer camp. What can be interpreted from this box plot?

Answers

Answer:

The box plot below represents the ages of campers at a summer camp. What can be interpreted from this box plot? A. It can be interpreted that about 50 percent of the campers are 8 years of age or younger.

Equations & Inequalities The value of a baseball card is increasing at a rate of $40 per year. If Tom purchased the card for $300, how many years will it take for the card to at least triple in value?

Answers

Answer:

15= number of years

Step-by-step explanation:

Giving the following information:

Current value= $300

Growth per year= $40

Triple value= $900

To calculate the number of years it will take to transform $300 into $900, we need to use the following formula:

Future value= current value + (growth rate per year*number of years)

900 = 300 + (40*number of years)

600= 40number of years

600/40= number of years

15= number of years

1) Solve 12.5 +8= 27.
What does s=

Answers

Answer:

there is no s in the question please explain

Step-by-step explanation:

Answer:

S = 6.5

Step-by-step explanation:

12.5 + 8 = 20.5,

27 - 20.5 = 6.5

therefore s = 6.5

Checking work

12.5 + 8 + s =

12.5 + 8 + 6.5 = 27

Select the equation that represents the question.

35% of what number is 35?
please help

Answers

Answer:

Step-by-step explanation:

35% of 100 = 36

12 times 8.1


[NEED ASAP]

Answers

Answer:

Answer is 97.2

Step-by-step explanation:

Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?

Which equation represents this?

2x = 49
2x + 4 = 49
3x = 49
3x + 4 = 49

Answers

Answer:

2x = 49

=x=24.5

if 2x + 4=49

49-4/2=x

x=22.5

if 3x + 4 =49

x=45/3=15

3x + 4 belongs it

15+4is 19

Answer:

2x = 49

=x=24.5

if 2x + 4=49

49-4/2=x

x=22.5

if 3x + 4 =49

x=45/3=15

3x + 4 belongs it

15+4is 19

Simplify 4.2^-3 x 5.1^2 x 4.2^4 x 5.1^3

Answers

Answer:

14491.060542

Step-by-step explanation:

1
1. The attendance on the 1st day of a carnival was 425 people. The attendance on the 3rd
day was 575 people. Assuming attendance will increase linearly each day, how many
people will attend the carnival on the 6th day?
A. 650
B. 725
C800
D. 875

Answers

I’m pretty sure it’s C 800 cause it increases 75 each day

Caleb and Suzanne each have a pile of blue and white chips. Caleb determines in his pile,three out of every four chips is blue. Suzanne determines in her pile, one out of every five chips are blue. How many total chips does each student have if Caleb and Suzanne each have 6 blue chips?

Answers

Answer:

Total number of chips Caleb have = 8

Total number of chips Suzanne have = 30

Step-by-step explanation:

In Caleb case -

Three out of every four chips is blue

⇒ If Caleb has total chips = 4

Then Blue chips = 3

⇒White chips = 4 - 3 = 1

Now,

If Caleb have 6 blue chips

⇒3 Blue chips = 4 total chips

  1 Blue chip = [tex]\frac{4}{3}[/tex] total chips

⇒6 blue chips = [tex]\frac{4}{3}[/tex] ×6 = 4×2 = 8 total chips

∴ we get

Number of chips become = 8

In Suzanne case -

One out of every five chips are blue.

⇒ If Suzanne has total chips = 5

Then Blue chips = 1

⇒White chips = 5 - 1 = 4

Now,

If Suzanne have 6 blue chips

⇒1 Blue chips = 5 total chips

⇒6 blue chips = 5×6 = 30 total chips

∴ we get

Number of chips become = 30

d) IfA: B = 1 : 2 and A: C= 2:3, find B: C.​

Answers

Answer:

it's 2/3

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Spencer and Hanna buy a pizza for $18 that is half pepperoni and half veggie. They cut the pizza into 8 slices.

If Spencer likes veggie four times as much as pepperoni, what is the value of a slice that is all veggie?

Answers

Answer:

they needa buy me a beer

Step-by-step explanation:

A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove?
A. 224.70 (wrong)
B. 524.30
C. 719

Answers

Answer:

Step-by-step explanation:

B. 749x .30= 224.70. 749-224.70=524.30

Simplify the expression-3x-(-2-4x)

Answers

Answer:

-7x+2

Step-by-step explanation:

Step 1: Remove Parentheses

-> -3x+2-4x

Step 2: Simplify Expressions

-3x-4x+2= -3x-4x= -7x+2

Can I have brainliest now

Is 7/8 equivalent to -7/-8

Answers

Answer:

No

Step-by-step explanation:

I don't think those are equivalent because 7/8 is positive while -7/-8 is negative.

what's the difference between five times a number and twelve

Answers

Step-by-step explanation:

Answer: Difference between five tmes a number and twelve is seven

help me plz! The one with the correct answer gets brainliest!
What is the number for the variable "x"? : ( x+29= −11)

Answers

Answer:

x=(-40)

Step-by-step explanation:

x+29= (-11)

x+29=(-11)

  -29=-29

x=(-40)

Answer:

x=-11+29

x=18

Step-by-step explanation:

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