The sum of two numbers is 38. The greater number is 8 more than the other number. Find each number. Use a system of linear equations to justify your answer.

Answers

Answer 1

Answer:

x = 23 and y = 15

Let one number be x and another be y

The sum of two numbers is 38

x + y = 38

x = 38 - y

The greater number is 8 more than the other number.

x - y = 8

x = 8 + y

solve both equations:

8 + y = 38 - y

y + y = 38 - 8

2y = 30

y = 15

solve for x:

x = 8 + y

x = 8 + 15

x = 23

Answer 2

Let one number be x and another be y

The sum of two numbers is 38

x + y = 38

x = 38 - y

The greater number is 8 more than the other number.

x - y = 8

x = 8 + y

solve both equations:

8 + y = 38 - y

y + y = 38 - 8

2y = 30

[tex]{{\bold{{{{{ \green{y = 15}}}}}}}}[/tex]

solve for x:

x = 8 + y

x = 8 + 15

[tex]{{\bold{{{{{ \green{x = 23}}}}}}}}[/tex]

[tex]{{\bold{{{{{ \red{so, x \: = 23 \: and \: y \: = 15}}}}}}}}[/tex]


Related Questions

FOR 99 PTS PLS

What is the area of a rectangle with side lengths of 38 meter and 46 meter?

Enter your answer as a fraction in simplest form by filling in the boxes.

⊂ ⊃
------ m²
⊂⊃

Answers

Answer:

1748/1

Step-by-step explanation:

Well youd have to multiply 38 by 46 then put one as the denominator and the number as the numerator

I am stuck on this one please help

Answers

Answer:

your answer should be A.

Step-by-step explanation:

I don't know how to explain it to people but yeah, I hope I helped!

3. A bat can emit a sound wave that travels at a speed of 342 m/s. Speed, s, can be
represented by the formula, s = d/t, where d is the distance, in metres, and t is the
time, in seconds.
a) Write an equation that can be used to determine the distance a bat
is away from an object if it takes 0.3 s for the sound wave to travel to
the object and back.
b) How far is the bat from the object?

Answers

Answer:

A. because is 0.3

Step-by-step explanation:

B. is not the answer

Please answer with steps
{0.4), (-4,-6)

Answers

[tex](0.4), (-4,-6)[/tex]

The LCM of a, b is the smallest multiplier that is divisible by both a and b

[tex]= 0.4(-4, -6)[/tex]

Chad works 10 hours a week and earns $5 an hour. He saved his earnings for 2 weeks and then spent $75. How much did he have left

Answers

I think that it might be 10

White the greatest common factor of: 2700xy and 27y^3

Answers

Answer:

Step-by-step explanation:

2700x y = 3 * 3 * 3 * 2 * 2 * 5 * 2 * x * y

27y³ = 3 * 3 * 3 * y * y * y

GCF = 3*3*3*y

        = 27y

Does the point (–1, 1) satisfy the equation y = 4x + 5?

Answers

Answer: True

Step-by-step explanation:

Substitute -1 for x and 1 for y in the equation y = 4x + 5

(1) = 4(-1) + 5

1 = -4 + 5

1 = 1

Left side = right side

Therefore,  the point (–1, 1) satisfies the equation y = 4x + 5


Can someone help me with 3. And 4. Answer quick !

Answers

Answer:

number 4 is $223.6 (ADD THE MONEY SYMBOL TOO)

Step-by-step explanation:

44.72 = tip + money she gets per unit of time

then 44.72 x 5 because 5 is how many hours and 44.72 is how much she gets an hour

6. A swimming pool is in the shape of a
rectangular prism. It holds 1,440 cubic feet
of water. If the base measures 15 feet by 12
feet, then how deep is the pool?



Show your work please

Answers

Answer:

depth of the pool: 8 ft

Explanation:

rectangular prism volume = length * breath * height

Given:

length = 15 feetbreadth = 12 feet

using this formula:

[tex]\sf volume = length * breath * height[/tex]

[tex]\sf 1440 = 15 * 12 * height[/tex]

[tex]\sf height * 180 = 1440[/tex]

[tex]\sf height = \frac{1440}{180}[/tex]

[tex]\sf height = 8 ft[/tex]

I dont get it...HELPPPPPPPPPP!

Answers

Answer:

224 cubes

Step-by-step explanation:

find area of the figure 2*7/4*1 = 3.5

area of one cube is 1/4³ =1/64

3.5÷1/64=224

Last one. I made the tree and found 12 of them. am I right? Love you guys for helping me!! thank you!​ I need it asap sorry!

Answers

Answer:

12possible dishes is the answer

If 4 times a number decreased by 7 is 45, find that number.

Answers

Set up an equation :

4 x number - 7 = 45

Add 7 to both sides:

4 x number = 52

Divide both sides by 4:

Number = 13


Answer: 13

Answer:

13

Step-by-step explanation:

Because 4 times ? decreased by 7=45 then what times 4 =52 since it was decreased by 7 then 45+7=52.

We know it has to be more than 10 so what is 11 x 4=44  12 x 4=48  and 13 x 4=52 so 52 subtracted by 7=45 and there's your answer.

hope this helps have a great day:)

Based on a $400 loan amount, rank the following companies from the lowest to highest annual percentage rate (APR). Company Fees Charged Term of Loan A $40 5 days B $50 12 days C $80 15 days D $100 20 days a. A, B, C, D b. B, D, C, A c. D, B, C, A d. D, C, B, A.

Answers

Answer:

B,D,C,A

Step-by-step explanation:

So the correct answer order is             B,D,C,A

PLEASE HELP ASAP
How much greater is 4×10 to the ninth power than 5×10 to the fifth power. Estimate by rounding to the nearest whole number

Answers

Answer:

Exact: 3,999,500,000

Estimate: 4,000,000,000

Step-by-step explanation:

(4)(10) = 40

(4 x 10)9 = 4,000,000,000

Notice that there are 9 zeros

_________________________________________

(5)(10) = 50

(5 x 10)5 = 500,000

Notice that there are 5 zeros

_________________________________________

4,000,000,000 - 50,000 = 3,999,500,000

Pls help me with my maths assignment!!!​

Answers

Answer:

288

Step-by-step explanation:

Let x represent the smaller number then the larger number would be 120%x

We can use this to set up an equation:

[tex]x+120\%x=528[/tex]

Convert 120% to a fraction (any percentage is just that number over 100):

[tex]x+\frac{120}{100}x=528[/tex]

Simplify the fraction:

[tex]x+\frac{6}{5}x=528[/tex]

Add like terms:

[tex]\frac{5}{5}x+\frac{6}{5}x=528\\\frac{11}{5}x=528[/tex]

Multiply both sides by 5:

[tex]11x=2640[/tex]

Divide both sides by 11

[tex]x=240[/tex]

Therefore...

[tex]120\%*240=\frac{6}{5}(240)=\frac{1440}{5}=288[/tex]

The larger number is 288

What is the distributive property of multiplication over addition?.

Answers

Answer:

Step-by-step explanation:

Distributive property of multiplication over addition:

a(b + c) = (a*b) + (a*c)

Please answer soon (40 Points)

Answers

Answer:

D 1 inch = 5 feet

Step-by-step explanation:

D.)1inch =5feet is the correct option

At a coffee shop, Polly can choose to earn $12 per hour plus a starting bonus of $100 or she can choose to earn $16 per hour with no starting bonus. After how many hours of working at the coffee shop will Patty earn the same amount for both payment options?

Answers

Answer:

For the first option 1h for the second option is 7h and she will earn the same which is 112$

Step-by-step explanation:

12 x 1 = 12 + 100 = 112

16 x 17 =112

The dinner special at Dan’s Diner comes with a choice of two side dishes, corn or potatoes, and a choice of three types of bread, rolls, toast, or biscuits. List all of the possible specials.
Use the first letter of each choice as an abbreviation.

Answers

Answer:

C, R C, T C,B

P, R P, T P, B

there is 6 possible special.

Colombia has a "four-story" agriculture. Label each elevation with one of the crops or livestock that can be found there

Answers

The crops or livestock that can be found in the "four-story" agriculture include:

10,000ft: Cattle7,000ft: Apples3,000ft: coffee0ft: Bananas

What is agriculture?

Agriculture simply means the practice of cultivating plants and livestock. It is a key development in the rise of human civilization, whereby the farming of domesticated species created food surpluses which enabled people to live in cities.

In this case, the crops or livestock that can be found in the "four-story" agriculture are depicted above.

Learn more about agriculture on:

https://brainly.com/question/894600

Write in slope intercept form an equation of the line that passes through the given points (-3,1) (0,4)

Answers

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-3)}}}\implies \cfrac{3}{0+3}\implies \cfrac{3}{3}\implies 1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{1}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-1=x+3\implies y=x+4[/tex]

Answer:

y = x + 4

Step-by-step explanation:

The slope

[tex]m=\frac{4-1}{0+3} =\frac{3}{3}=1[/tex]

The equation: with point (0, 4)

[tex]y-4=1(x-0)[/tex]

[tex]y-4=x-0[/tex]

[tex]y-4=x[/tex]

[tex]y=x+4[/tex]

Hope this helps

Jude deposited $550 into an account that earns simple interest, and after 11 years, the interest in the account was $484. What was the simple interest rate?

Answers

Answer: 8% interest rate

Step-by-step explanation: intrest = 484


you’re welcome!

The asymptote of f(x) = 5(2^x)
*
(Type an equation.)

Answers

Answer:

y=0

Step-by-step explanation:

Remark that exponential functions have horizontal asymptotes .

Graph attached


A map of a highway has a scale of 2 inches = 39 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the
highway, including one at each end. You are making a new map with a scale of 1 inch = 30 miles. How far apart are the rest stops on the new map?

Answers

Scale : 2 inches = 39 miles

The length of the highway on the map is 9 inches -> the real length of it = 39 x 9 : 2 = 175.5 (miles)

There are 7 rest stops equally spaced => There are 7-1 = 6 equal distance between the rest stops

So, every rest stop is 175.5 : 6 = 29.25 miles apart from each other.

With a scale of 1 inch = 30 miles, each rest stop will be 29.25 : 30 = 0.975 inches apart from each other on the new map.

I need help with 8 and 9

Answers

Answer:

yes        /               9  d

Step-by-step explanation:

Please help giving brainless to the first person to help me. Thank you

Answers

Answer:

Step-by-step explanation:

To find the population density of any state:

We must divide the population number by the area

Thus Washington state's population density equals 7,705,281 / 71297.95

Which equals 108.1

Hope that helps!

Answer:

108.1 people per square mile

Step-by-step explanation:

The population density is people per area.

Take the population and divide by the area.

Washington state:

7705281/71297.95

108.07156

Rounding to the nearest tenth

108.1 people per square mile

I need help with a certain math problem and I need an explanation and it simplified.

Answers

1/6 and decimal form is .16 repeating

HELP ME PLEASEEE Write an equation and solve for the missing value. Show your work

Answers

Answer:

1. x = 23

2. y = 14

3. n = 17.5

4. x = 12

5. n = 11

Step-by-step explanation:

Complementary angles are equal to 90°

Vertical angles are congruent, which means they are equal to each other.

Supplementary angles are equal to 180°

1.

2x - 3 + 47 = 90

Step 1: Combine like terms (-3 + 47)

2x - 3 + 47 = 90

2x + 44 = 90

Step 2: Subtract 44 from both sides

2x + 44 - 44 = 90 - 44

2x = 46

Step 3: Divide by 2 on both sides

2x/2 = 46/2

Step 4: Simplify

x = 23

2.

5y + 12 = 82

Step 1: Subtract 12 from both sides

5y + 12 - 12 = 82 - 12

5y = 70

Step 2: Divide by 5 on both sides

5y/5 = 70/5

Step 3: Simplify

y = 14

3.

4n - 5 + 115 = 180

Step 1: Combine like terms (-5 + 115)

4n -5 + 115 = 180

4n + 110 = 180

Step 2: Subtract 110 from both sides

4n + 110 - 110 = 180 - 110

4n = 70

Step 3: Divide by 4 on both sides

4n/n = 70/4

Step 4: Simplify

n = 17.5

4.

Since m∠XYZ = 110°

3x + 2 + 72 = 110

Step 1: Combine like terms (2 + 72)

3x + 2 + 72 = 110

3x + 74 = 110

Step 2: Subtract 74 from both sides

3x + 74 - 74 = 110 - 74

3x = 36

Step 3: Divide by 3 on both sides

3x/3 = 36/3

Step 4: Simplify

x = 12

5.

5n + 35 = 90

Step 1: Subtract 35 from both sides

5n + 35 - 35 = 90 - 35

5n = 55

Step 2: Divide by 5 on both sides

5n/5 = 55/5

Step 3: Simplify

n = 11

what is 6.45 divided by 5 pls show ur work

Answers

Answer:

1.29

Step-by-step explanation:

9

2

1

6.45/5

5

___

14

10

____

45

45

____

0

Answer:

1.29

Step-by-step explanation:

6.45/5

5[tex]\sqrt{6.45}[/tex]

- Step one:

     -How many 5's go into 6? If you answered one, you're right.

5[tex]\sqrt{6.45}[/tex] = 1...

- Step two:

     - Now we have a remainder of one. When we bring down the 4, we have 14.

     - How many 5's can fit in 14? If you answered 2 with a remainder of 4, you're correct!

5[tex]\sqrt{6.45}[/tex] = 1.2......

- Step three:

      - Because we have one more digit left in 6.45, the five, we will bring it down. We now we have 45. How many 5's can fit in 45? If you answered 9, you're right!

5[tex]\sqrt{6.45}[/tex] = 1.29

Note: We have no more digits left, so we have nothing more to do!

So, this is how you do this division. I hope I helped you!

A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 5 1/2 meters wide, and 6 1/2 meters tall.



What is the volume of the recycling bin?

Answers

Answer: 429m^3

Step-by-step explanation:

The volume of a rectangular prism is equal to the length*width*height of the rectangular prism.

We can plug in the values given.

Volume = 5.5m*12m*6.5m

Volume = 429m^3

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