Jessica is 2 years older than Maggie. The sum of their ages is 26. Define variables and write an algebraic equation to represent the situation.

Answers

Answer 1
Let Maggie’s age be x
then Jessica's age is (x+2)
The sum of their ages (Jessica + Maggie =26) is (x+2) +x = 26
2x+2=26
2x=24
x=12 years (Maggie’s age) and Jessica's age is (12+2)= 14 years
Answer 2
(x+2) + x = 26 is the equation

Related Questions

(3y^3)^2 without exponents

Answers

[tex](3y^3)^2=(3^2)*(y^3)^2=9*y^6 = 9y^6[/tex]

Hope that helps!

Find the volume of this rectangular
prism.

Answers

Answer:

36 in cubed

Step-by-step explanation:

3x2x6

3x2=6

6x6=36

Answer:

36 in

Step-by-step explanation:

First multiply 3 by 2 to get 6.

Then multiply the two 6s to gether to get 36.

Have an amazing day!

PLEASE RATE!

Determine whether the relation is a function.
c= {(8,3), (-9,-4), (2,3), (4, - 7)}

Answers

Answer:

It is a function

Step-by-step explanation:

It is a function because each input corresponds to exactly one output.


[tex]0.5216 \div 0.08[/tex]
how to solve this problem​

Answers

The answer is 6.52 because i divided 0.5216 by 0.08
6.52, just use a calculator

Paul earns $380 each week at his part-time job. His employer withholds 18% of Paul’s pay for taxes. How much does Paul take home each week?

Answers

Let that be x

[tex]\\ \rm{:}\dashrightarrow x=380-0.18(380)[/tex]

[tex]\\ \rm{:}\dashrightarrow x=380-68.4[/tex]

[tex]\\ \rm{:}\dashrightarrow x=311.6\$[/tex]

What is blank + 1/16 equals 3/2

Answers

Answer:

1 7/16

Step-by-step explanation:

Let that blank be x

x + 1/16 =3/2

Then, find the common denominator:

3/2 - 1/16

LCM = 16

3/2 *8 = 24/16

24/16 - 1/16

Last, subtract:

23/16

OR

1 7/16

Hope this helps!

mark brainliest if possible!

Bethany went to the dog park with her dog at 12:30 pm she arrived back home at 2:30 pm how long was she at the dog park with her dog?

Answers

Answer:

2 hours

Step-by-step explanation:

12:30 + 1 hour = 1:30

1:30 + 1 hour = 2:30

She was at the dog park with her dog for 2 hours.

Urgent!!! Simplify the complex rational expression?

Answers

Step-by-step explanation:

[tex]( \frac{3}{w} + \frac{2}{x} ) \div ( \frac{2}{w} - \frac{3}{x} ) \\ ( \frac{3x}{xw} + \frac{2w}{xw} ) \div ( \frac{2x}{xw} - \frac{3w}{xw} ) \\ ( \frac{3x + 2w}{xw} ) \div ( \frac{2x - 3w}{xw} ) \\ \frac{3x + 2w}{xw} \times \frac{xw}{2x - 3w} \\ \frac{3x + 2w}{2x - 3w} [/tex]

26= 7(g-9)+12 What is the value of g. A.g=11 B. g=12 C. g=13 D. g=14

Answers

Answer:

A.g=11

Step-by-step explanation:

26=7(g-9)+12

26=7g-63+12

7g=77

g=11

Find an equation for the line with slope m= -2/3
and which goes through the point (- 15,8).

Write your answer in the form y = mx + b. DO NOT use decimals as part of your answer... express all parts of
your equation in integer or reduced fraction form.

Answers

Answer:  

y = -2/3x + 18

Step-by-step explanation:

to find the y intercept you should input the points 15,8

sooo

8 = -2/3(15) + b

8 = -10 + b

b = 18

I need help with my homework

Answers

Answer:

1. x= 8√2

2. x = 14 y=14√2

3. x = 18√2 = 9√2

4. x= 18/√2 =9√2

5. x= 8/√2 = 4√2

6. x = 10/√2 i.e 5√√2

Find the measure of the angle SYX

Answers

5y = 95
y = 19

5x = 85
x = 17

[30 POINTS]

What is the amplitude of this function f(x) ?

f(x)=34cos(3x)+4

Enter your answer in the box.

Answers

The comparison between the standard form of the cosine and f(x)=34cos(3x)+4 shows that the amplitude of the function given is 34.

Cosine Functions

The standard form of the cosine is given by:

               y=acos(bx+c)+d

where:

a= amplitude - half the distance between the maximum and minimum values of the function. The value of a will be |a|.

b= the number of cycles the function completes in an interval of from 0 to 2π. This parameter influences in the period since is [tex]\frac{2\pi }{b}[/tex].

c= horizontal shift

d= vertical shift

The question asks the value of amplitude. Therefore, you should compare the standard form with equation function given.

Thus, you have:

y=acos(bx+c)+d

f(x)=34cos(3x)+4

The comparison shows: a=34, b=3, c=0 and d=4

Hence, the amplitude of the function f(x)=34cos(3x)+4 is equal to 34.

Read more about the cosine functions here:

https://brainly.com/question/10638674

Answer:

3/4

Step-by-step explanation:

I took the teat K 12

Elisabeth reads 1/5 of her book in 1 1/2 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to read 3/4 of the book? Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

It will take her  5 5/8 hours to read 3/4 of the book

Ratio and proportions

Given that Elisabeth reads 1/5 of her book in 1 1/2 hours, this is expessed as:

0.2 of a book = 1.5 hours

In order to determine the time taken to read 0.75 part of the book, we will have:

0.75 of a book  = x

Take the ratios

0.2/0.75 = 1.5/x

0.2x = 1.125

x = 1.125/0.2

x =  5.625

Hence it will take her  5 5/8 hours to read 3/4 of the book

Learn more on ratio and proportion here: https://brainly.com/question/19994681

what are the algebraic expression,constant, variables, operations of 1.)3n+8, 2.)3x-2, 3.)4(N+5), 4.)2a+3b-c​

Answers

Answer:

Step-by-step explanation:

Algebraic expression   Constant      Variables    Operation

3n + 8                                8                    n                 addition

3x - 2                                  -2                  x                   subtraction

4(N + 5) =4N + 20             20                N                      addition

2a + 3b - c                           0              a,b,c                 addition & subtraction

I think of a number and I divide it by 3. I multiply it to the sum of 4 and 5. The

answer is 81. What is the number?
aswer it pls

Answers

Answer:

27

Step-by-step explanation:

Let the number be x

x/3 * (4 + 5) = 81

x/3 * 9 = 81

x/3 = 81/9 = 9

x = 3 * 9 = 27

which inequalities are true? Select four correct answers
A:square root of 5<2.3 B: square root of 5<2.4< square root of 6
C: square root of 4 D: square root of 8<3 E: square root of 8<2.9< square root of 9
F: square root of 4<4.5< square root of 5

Answers

Answer:

A, B, D and E are the correct answers because they are all true

Suppose you have a bag with 25 letter tiles in it and 7 of the tiles are the letter V. If you pick a letter tile at random from the​ bag, the probability that it is the letter V is 7/25
. Suppose another bag has 500 letter tiles in it and 250 of the tiles are the letter V. Write the probability of picking a tile that is the letter V as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter V​?

Answers

|S|=500|E|=250

So

[tex]\\ \rm\hookrightarrow P(E)=\dfrac{|E|}{|S|}[/tex]

[tex]\\ \rm\hookrightarrow P(E)=250/500=1/2=0.5[/tex]

7/25=0.3

Second bag is more preferable

Answer:

Bag 1

Probability of picking a V = P(V) = 7/25 = 0.28

Bag 2

Probability of picking a V = P(V) = 250/500 = 1/2 = 0.5

You are more likely to pick a tile that is the letter V from Bag 2 since 0.5 > 0.28

What is 4 1/2 pint to quart?

Answers

There are two pints every quarter.

So let's convert pints to quarter

   [tex]\frac{4\frac{1}{2} }{2} =\frac{\frac{9}{2} }{2} = \frac{9}{4}[/tex]

There 4 1/2 pint is to 9/4 quarter.

Hope that helps!

p.s. look at my diagram to help you remember

An $80 printer is selling for 37.5% off. Find the final price of the printer if sales tax is 9%

Answers

37.5 as a decimal: 0.375

This means that 0.375 x 80 will be taken off.

0.375 x 80 = 30

This means that the printer is $30 off.

So, the printer is selling for 50.

Now, since sales tax is going to be 9% over the price of $50, we multiply the price by 1.09.

50 x 1.09 = 54.5

Final price will me $54.50

solve. 3 is less than y minus 2

Answers

Answer:

[tex]\bold{3 < (y - 2)} \\ \bold{y > 3 + 2} \\\bold{ y > 5}[/tex]

hope helpful~

Answer:

3 is less than y minus 2 => 3 < y - 2

Step-by-step explanation:

If an expression has an equal sign, it is called an equation.

If it has less than or greater than sign, then it is called inequality.

It is also an inequality if it has greater than or equal to or less than or equal to signs. ( ≥, ≤).

Now y minus 2 means

y - 2

Now it says 3 is less than (y-2)

So we get

3 < y - 2

On the tax bracket table, choose all the marginal tax rates that will apply to a single taxpayer with a taxable income of $75,000.
Single Taxpayers: Income Brackets
Tax Rate
Income Bracket
10%
O to 9,525
12%
9,526 to 38,700
22%
38,701 to 82,500
24%
82,501 to 157,500
32%
157,501 to 200,000
35%
200,001 to 500,000
37%
> 500,000
Reset
Next

Answers

The marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%.

What is tax?

It should be noted that a tax simply means the compulsory levy that's paid by the individuals and businesses to the government.

In this case, the marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%. This is for people in the income bracket of $38701 to $82500.

Learn more about tax on:

https://brainly.com/question/25783927

22% is the marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000.

Tax is a mandatory financial charge or levy imposed by the government on individuals, businesses, or other entities in order to fund public expenditures and services.

It is a way for the government to generate revenue to finance various public goods and services, such as infrastructure, healthcare, education, defense, and social welfare programs.

The marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%.

This is for people in the income bracket of $38701 to $82500.

To learn more on Tax click:

https://brainly.com/question/12611692

#SPJ6

Can someone help me with this problem please

Answers

Answer:

First blank: 11/9

Second blank: 20

Step-by-step explanation:

Hope this helps!

What is the average of -2.5, 5.2, 1.7, and -0.8.

Answers

Answer:

0.9

Step-by-step explanation:

-2.5 + 5.2 + 1.7 + -0.8 = 3.6

Divide by the total count of numbers

= 0.9

Hope this helps!

Answer:

0.9

Step-by-step explanation:

To find the average or mean, you have to add up all the given numbers in your data set, then divide by how many numbers there are.

1. Add up -2.5 + 5.2 + 1.7 + (-0.8)=

(negative times positive equals negative)

simplify the signs

simplified answer= -2.5+5.2+1.7-0.8

Which equals

3.6

2. divide by how many numbers there are

So take 3.6 and divide it by 4.

why the number 4?

well, there are 4 numbers in the data set. so when you calculate the average, the formula would be to add up all the numbers in the data set and divide by how many numbers are in the data set and there are 4 numbers in the data set.

So... 3.6 divided by 4

is...

0.9The average is 0.9

               

Find the area of the shaded region, thank you!

Answers

Answer:

5.1 cm² (nearest tenth)

Step-by-step explanation:

[tex]\mathsf{area\ of \ sector=\dfrac{\theta\pi r^2}{360} \ (where\ \theta \ is \ measured \ in \ degrees)}[/tex]

Given:

r = 5[tex]\theta[/tex] = 80°

[tex]\implies \mathsf{area\ of \ sector=\dfrac{80 \cdot\pi\cdot 5^2}{360}=\dfrac{50}{9}\pi \ cm^2}[/tex]

[tex]\mathsf{area\ of \ triangle=\dfrac12 ab\sin C}[/tex]

Given:

a = 5b = 5C = 80°

[tex]\implies \mathsf{area\ of \ triangle=\dfrac12 \cdot 5 \cdot 5\sin (80)=\dfrac{25}{2}\sin(80) \ cm^2}[/tex]

Area of shaded area = area of sector - area of triangle

[tex]\implies \mathsf{area=\dfrac{50}{9}\pi-\dfrac{25}{2}\sin(80)}[/tex]

Therefore, area = 5.1 cm² (nearest tenth)

hello help me with this question thanks in advance​

Answers

Answer:

AD=25cm

Step-by-step explanation:

BC//AD

XY is also parallel to BC and AD as it bisects BA and CD.

BX=XA, CY=CD

so tge decreasing in length BC to XY is the same with XY to AD

29-27=2

27-2=25

That is why AD= 25cm

will someone please help me on my math

Answers

Answer:

192 should be the surface area i think correct me if im wrong

Step-by-step explanation:

Answer:

you are correct! (I know your already passed it but I felt like answering)

anyone know the answer?

Answers

Answer:

it’s A

Step-by-step explanation:

ur welcome

The amounts spent by 5 students on back to school supplies are $28.50, $25.75, $23.60, $30.20, and $25.00. Jenny spends $41.13 for her supplies. If the amount Jenny spends is included in the data, how will the mean be affected?

A) The mean decreases by $3.55
B) The mean increases by $2.42.
C) The mean increases by $2.54.
D) The mean increases by $1.55.

Answers

Answer:
B) The mean increases by $2.42

Btw. My answer was $2.40… B was the closest

HELP ME OUT PLS!!!!!​

Answers

x= 105°

y= 75°

z= 105°

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