The mother gave the two sons the same amount of money. When the older son spent $ 275 and the younger $ 250, the younger had 3 times more money than the older. How much money did the mother give to each son? solution: 292​

Answers

Answer 1

Answer:

Each son received from their mother $287.50

Step-by-step explanation:

3(x - 275) = x - 250

2x = 825 - 250

x = 287.50

$287.50 - $275 = $12.50

Check the answer:

After spending the older son has $12.50  

$287.50 - $250 = $37.50

After spending the younger son has $37.50

$37.50 ÷ $12.50 = 3 times


Related Questions

What number, when divided by 6, is equivalent to 15?

n=90
n=5/2
n=4
n=15

Answers

Answer:

90

Step-by-step explanation:

15+15=30

3x30=90

What divided by 6 equals 15?

Therefore, the answer to what divided by 6 equals 15 is 90. You can prove this by taking 90 and dividing it by 6, and you will see that the answer is 15. Tip: For future reference, when you are presented with a problem like "What divided by 6 equals 15?", all you have to do is multiply the two known numbers together.

Therefore, n=90 is your correct answer

What is the unit rate for headphones if eight headphones cost $390.92



Help me pls I need the unit rate too !

Answers

$48.865 per headphone

unit rate : total cost/total items

unit rate:

390.92/8

48.865

Each headphone costs $48.865

What is the mean of this data set? 3, 5, 10, 11, 15

Answers

Answer:

8.8.

Step-by-step explanation:

There are 5 values so:

mean = (3+5+10+11+15)/ 5

= 44/5

= 8.8.

Find the equation of the perpendicular bisector of line MN

Answers

Answer:

Y=(-1/2)x+9/2

Step-by-step explanation:

For straight lines y=mx+c

m=gradient

Find the gradient first-m=(y2-y1) /(x2-x1)

Take the points M and N and substitute in the equation

m=(5-2)/(-1-5)

m=-1/2

Gradient of line MN×gradient of perp line =-1

There fore gradient of perp line =2

1) the base of the rectangular prism is shaded what is the lateral surface area

ignore number 5

Answers

Answer:

the lateral surface area is

11ft

Step-by-step explanation:

Have a great day✧◝(⁰▿⁰)◜✧

a. Multiplication Property of Equality
b. Division Property of Equality
c. Addition Property of Equality
d. Subtraction Property of Equality

Answers

It’s A “Multiplication Property of Equality”

Which expression is equal to:
4b + 4c / z

a. 4(b + c) / z
b. 4b(4c / z)
c. 8bc / z
d. (b + c) ● (4+z)

(marking brainliest)

Answers

Answer: Choice A

4(b + c) / z

Reason:

We factor 4 from 4b+4c to get 4(b+c). The z in the denominator stays where it is. This factoring is possible because of the distributive property.

This is why [tex]\frac{4b+4c}{z}[/tex] is the same as [tex]\frac{4(b+c)}{z}[/tex]

Side note: you should use parenthesis to write (4b+4c)/z, which indicates all of 4b+4c is over top the z. This is because 4b+4c/z might get mistaken for [tex]4b+\frac{4c}{z}[/tex]

Fill in the missing values for the factored expression.

2x2 + 4x

=________(x+2)
*hint: find the GCF

Answers

Answer:

2x(x+2)

Step-by-step explanation:

Which graph represents y as a function of X?
A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

Vertical line test. Draw vertical lines (you don't have to actually draw them, imagine them) across the relation. If any line intersects two portions of the relation, it is not a function.

help me i dont really understand

Answers

Answer:

73

Step-by-step explanation:

12(6) + 1/4 • 2^2

Square the 2 first.

12(6) + 1/4 • 4

Then multiply from left to right.

72 + 1

Lastly, add.

73

The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.

The cafeteria at San Isidro Elementary has 18 tables. Fourteen of the tables seat 14 students each and the rest of the tables seat 16 students each. What is the maximum number of students that can sit at the tables in the cafeteria at one time?

Answers

Answer:

You have to use the cafeteria-style formula where you multiply all the numbers  

Step-by-step explanation:

First u multiply

18 by 14 and then by 16

Which statement correctly describes the scatter plot?

Answers

Answer:

b

Step-by-step explanation:

An item is regularly priced at $76. It is now priced at a discount of 80% off the regular price.

Answers

Answer:

Sale price:

The price after the original price has been discounted.

Our goal is to find the sale price.

We could use either of the two methods shown below:

Find what the discount price is, and reduce that off the original price.

Or

Simply find the sale price by finding the leftover percentage of the discount and multiplying it by the original price.

Let's use the second technique.

The leftover percentage of 80% is 20%, because;

100 - 80 = 20%.

Now multiply this percentage with the original price:

20%(can be considered 20/100), so

20/100 × $76

= 15.2, the sale price of this item is $15.20!

lara makes salad dressing by mixing 8
spoonfuls of oil and some vinegar. The tape
diagram shows the ratio of oil to vinegar.

Answers

Answer:

3:6

Step-by-step explanation:

8 ÷ 4 = 2

2 ÷ 1 = 2

6 ÷  3 = 2

Answer:

1. 2:8

2. 1:4

3. 3:12

Step-by-step explanation:

There are 2 parts of oil for every one part of vinegar.

2+1=3

The ratio is made up of 3 total parts.

The part to whole ratio of oil to total is 2:1.

We are looking for an equivalent ratio that has 8 spoonfuls of oil.

If we have 4 times as much oil, we also need 4 times as much vinegar.

Also, we will have 4 times as much total dressing.

2x4=8

1x4=4

3x4=12

Which of the following describes an example of mutually exclusive outcomes A and B for throwing a single 6-sided
die?
A = the outcome is odd, B = the outcome is 3
A = the outcome is in {1,2,3,4}, B = the outcome is in {4,5,6)
A = the outcome is odd, B = the outcome is even
A = the outcome is less than 6, B = the outcome is more than 1

Answers

Answer:
A=the outcome is odd, B=the outcome is even
Is mutually exclusive because you can't have a number that is even and odd at the same time.
Hope this helps :)

You have 976 grams of a radioactive kind of rhodium. How much will be left after 120 seconds if its half-life is 30 seconds?
grams

Answers

there will be approximately 61 grams of the radioactive rhodium remaining after 120 seconds.

What are exponential growth and decay?

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

Given, You have 976 grams of a radioactive kind of rhodium.

The formula for the amount of a substance remaining after a certain amount of time given its half-life is:

N = N₀ *[tex](1/2)^{t / t_{1/2} }[/tex]

where:

N₀ is the initial amount of the substance

N is the amount of the substance remaining after time t

t₁/₂ is the half-life of the substance

In this problem, N₀ = 976 grams, t = 120 seconds, and t₁/₂ = 30 seconds. We can plug these values into the formula and solve for N:

N = 976 * (1/2)⁽¹²⁰/³⁰⁾

N = 976 * (1/2)⁴

N = 976 * 0.0625

N ≈ 61

Therefore, after 120 seconds, there will be approximately 61 grams of the radioactive rhodium remaining.

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

#SPJ1

Evaluate the expression

Answers

Answer:

36

Step-by-step explanation:

Given expression:

[tex](10 - 3 + 5)^{2}} \times \dfrac{1}{4}[/tex]

Simplify the expression in the parenthesis

[tex]\implies (12)^{2} \times \dfrac{1}{4}[/tex]

Simplify the exponents in the expression:

[tex]\implies (12) \times (12) \times \dfrac{1}{4}[/tex]

[tex]\implies 144 \times \dfrac{1}{4}[/tex]

∴ Recall that: (a × 1/b = a ÷ b)

[tex]\implies 144 \div 4[/tex]

Simplify the expression:

[tex]\implies 144 \div 4[/tex]

[tex]\implies \boxed{36}[/tex]

Answer:

C)  36

Step-by-step explanation:

Given expression:

[tex]\dfrac14(10-3+5)^2[/tex]

Following the order of operations, carry out the operations inside the bracket first:

[tex]\implies \dfrac14(7+5)^2[/tex]

[tex]\implies \dfrac14(12)^2[/tex]

Now carry out the exponent:

[tex]\implies \dfrac14(144)[/tex]

Finally:

[tex]\implies \dfrac{144}{4}=36[/tex]

What is the measure of the missing angle?

Answers

Answer:

The missing angle = 113°

Step-by-step explanation:

Let the missing angle be x

Sum all angles in a triangle = 108°

34° + 33° + x° = 108°

x° = 108° - 34° - 33°

x° = 113°

!!PLEASE PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Answer:

[tex]\tt x=113^o[/tex]

Step-by-step explanation:

We know that the sum of angles in a triangle is always 180°.

So the sum of the three angles must be 180°.The two angles you know measure 34° and 33°.

Now, let's write an equation and find the measure of the unknown angle:-

[tex]\tt 34^o+33^o+ x=180^o[/tex]

[tex]\tt 67^o+x=180^o[/tex]

[tex]\tt x=180^o-67^o[/tex]

[tex]\tt x=113^o[/tex]

Therefore, the measure of the missing angle is 113°.

What is true when a system of equations has no solution?


The lines intersect in one place.


The lines are parallel and do not intersect.


The lines coincide (are the same line).


This is impossible

Answers

Answer:

D. This is impossible

Step-by-step explanation:

In math, when you solve an answer and you’re given no solution, it means that whatever equation you just did cannot be solved, and is therefore, impossible; there is no answer.

Side note: If you have any further questions feel free to let me know.

Answer:

B. The lines are parallel and do not intersect.

Step-by-step explanation:

An orchard sells 4 pounds of apples for one dollar how much would 5 pounds of apples cost

Answers

Answer:

1.25

Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25

A 9-pound bag of sugar is being spilt into containers that hold 2/3 of a pound. How many containers of sugar will the 9-pound bag fill?

Answers

in essence, how many times does 2/3 go into 9?  well, is just a division, so

[tex]9\div \cfrac{2}{3}\implies \cfrac{9}{1}\div \cfrac{2}{3}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}\implies 13\frac{1}{2}[/tex]

Find the value of x. Segments that appear to be tangent are tangent. Round your answer to the nearest tenth.

Answers

Answer: 6.3

Step-by-step explanation:

Today, Nate has 100100100 bananas. He will eat 222 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Answer:

choice B- no

Step-by-step explanation:

We have been given that Nate has 100 bananas. He will eat 2 of them every day.

Let x represent number of days. So bananas eaten in x days would be .

Total number of bananas, y, left after x days would be

We know that two proportional quantities are in form , where, k is constant of proportionality.

Since our equation is not in form , therefore, number of bananas Nate has left is not proportional to the number of days that pass.

How does graphing two sets of data on one graph help you see patterns?

Answers

Answer:

~Shoto todoroki here~

The Mathematical tables and graphs are a good way to represent patterns. It helps to organize data and can reveal the relationships, making it easier to write equations that describe the patterns.

(Hope this helps!)

What mistake did Lindsay make?

Answers

Answer:

Step-by-step explanation:

Discussion and Correction

The algrebra  itself is fine. The exclusions are not so good. The difficulty comes in the denominator. It factors into (2x)(x - 3). x cannot take on a value of 0 (that was pointed out and that is correct). The problem comes in the plus/minus 3. Plus 3 is correct. x - 3 will come 0 if x = 3. Nothing bad will happen if x = - 3

Answer: So the exclusions in the denominator should be modified to x = 3.

Answer:

The excluded values are x-values that make the denominator of the original expression zero, since [tex]\dfrac{a}{0}[/tex] is undefined.

[tex]x = -3[/tex] is not an excluded value since this x-value does not make the  denominator zero.

[tex]x = -3[/tex] makes the numerator zero, but as [tex]\dfrac{0}{a}=0[/tex] it is not an excluded value.

Therefore, step 3 of her work should read:

[tex]\textsf{Finding excluded values}:x\neq 0\:\textsf{and}\:x\neq 3[/tex]

what type of bias can occur


survey question “how many words per minute can you read?”

Answers

People may have a bias towards whether they read fast or slower on purpose because they believe they will retain more information that way (each person is different). If your taking a wpm test, for example, you won't pay attention to comprehension, only speed. Another bias is the type of book your reading and whether you enjoy it. Studies prove that you tend to soak in more information and read faster when you are enjoying the book.

PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
The figure pictured below is made of a cylinder and a hemisphere. Its volume can be determined using the following formula, in which r is the radius and h is the height
of the cylinder. Determine the volume of the figure. Show your work

Answers

Answer:

395.64 m³

Step-by-step explanation:

Volume (figure)

Volume (hemisphere) + Volume (cylinder)2/3πr³ + πr²hπr² (2/3r + h)3.14 x 9 (2 + 12)3.14 x 9 x 143.14 x 126395.64 m³

Answer:

The answer is 396m^3.

Step-by-step explanation:

The solution is in the attached file

I need it quickly
which graph could represent the system of equations 4x+2y=8 and 3x-y=1?

Answers

Answer:

E

I use Desmos graphing to solve this

^● ●^

please help, thank you guys

Answers

Step-by-step explanation:

1) 165⁰

2) 180⁰

Note:FOR initial temperature check the temperature at t=0

I hope it helped you

Which of the three situations given below is best modeled by an exponential function?

I. A bacteria culture doubles in size every day.

II. A plant grows by 1 inch every 4 days.

III. The population of a town declines by 5% every 3 years.

Answers

I. The bacteria culture doubles in size every. day

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