Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?

Answers

Answer 1
just multiply ten times four and you’ll get ur answer.
Answer 2
First, determine the terms.
For Maggie, let’s use the variable m.
For her brother, it is (4m-4).
Their ages together is 31.

Let’s combine to make an equation:
(4m-4)+m=31
First, combine like terms on the left
5m-4=31
To begin isolating m, add 4 to both sides
5m-4=31
+4 +4
—————-
5m=35
To completely isolate m, divide both sides by 5.
5m=35
—— —-
5 5
From here, you get
m=7

You can check by putting this into the original equation.
(4(7)-4)+7=31
(28-4)+7=31
24+7=31
31=31

Therefore, Maggie is 7 years old.

Related Questions

what is 317.59 ÷ 34? PLEASE HELP PLEASE ASAP

Answers

Answer:

9.34088235

Step-by-step explanation:

Divide  317.59  by  34 .

State weather the following can be expressed as a ratio 12g and 45kg

Answers

Answer:

The anwser is always Jesus

Step-by-step explanation:

Also there is no following

The ratio of 12gm and 45 kg in simplest form is 3750 : 1.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Are two weights in different measurement forms, To write them as a ratio we have to make their scale of measurement equal.

We know 1kg is equal to 1000 grams.

Therefore, 45 kg is equal to 45000 grams.

So, The ratio of 12gm and 45 kg is 45000 : 12.

22500 : 6.

11250 : 3.

3750 : 1.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).

Answers

Answer:

10x+23 (pretty sure) and the * means multiply

Step-by-step explanation:

[tex]12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23[/tex]

Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
How old is Maggie?

Answers

Maggie would be 12 years old.

Explanation: math.

Have a good day <3
Maggie would be 12 years old

(Will Mark Brainliest!!!)Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1)
A: y + 3 = −5(x − 2)
B: y − 2 = −5(x + 3)
C: y + 3 = −(x − 2)
D: y − 2 = −(x + 3)​

Answers

Answer:

b

Step-by-step explanation:

the point-slope form of the equation is equal to

Which of the following described (5+5) in the expression above?

Answers

Answer:

10

Step-by-step explanation:

its 5+5

I do not understand

Answers

The answer is 4/7, because there are 4 hexagons and 7 total shapes

Answer:

4/7

Step-by-step explanation:

there are 7 shapes in total, 4 of them are hexagons.

The local school bought $1,464 worth of notebooks for it's $1,464 worth of notebooks for it's students. If the notebooks cost $1.22 each how many notebooks did the $1,464 worth of notebooks for it students. If the notebooks cost $1.22 each how many notebooks did the school by?

A. 1,220

B. 1,250

C. 1,500

D. 2,500

Answers

Answer:

a

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Norman answered the following question below lilith brought 20 cans to the food drive marcus brought 7 cans to the food drive if Paulina brought 8 more cans than lilith and marcus Combined, how many cans did Paulina bring. explain you answer​

Answers

Answer:

100 is a cool number

Step-by-step explanation:

i also ate a rock

At 6th grade camp there are 6 boys for every 5 girls. There are a total of 176 kids at camp. Daniel is trying to use a tape diagram to figure out how many boys will be at camp. If there are a total of 176 kids at 6th grade camp, how many boys will be at camp?
pls help i am in a hurry

Answers

Answer:

9d2nxdc

Step-by-step explanation:

??????????

Example 3 with Try Another One
ë Additional Example 3
)) Explain whether each of the following is a
rational number.
A. 4.078
B. 5.033919
C. 0.20878356

Answers

A 4.078 because it isn’t a repeating decimal

What is the missing number in each circle?
b
2:3:5 = ○ : 9 : ○

Answers

Answer:

7 and. 10 uvbuv7cycyyccu xxx yxr x rxytscc6vucc ttyl j

PLEASE HELP ME OUT!!!
Luna's retirement party will cost $630 if she invites 21 guests. What is the maximum number of guests there can be if Luna can afford to spend a total of $780 on her retirement party? Assume the relationship is directly proportional.

Answers

Answer:

The maximum number of guests for $780 would be 26.

Step-by-step explanation:

Write and solve an equation of ratios.  In the first column write $630/$780; in the right column write 21/x:

 630         21

---------- = -------

  780         x

Cross-multiplying, we get 630x = 21(780), which yields x = 26.

The maximum number of guests for $780 would be 26.

The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probability that the number of particles withdrawn will be between 235 and 265? b. What is the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52? c. If a 10 mL sample is withdrawn, what is the probability that the average number per mL of particles in the withdrawn sample is between 48 and 52? d. How large a sample must be withdrawn so that the average number of particles per mL in the sample is between 48 and 52 with probability 95%?

Answers

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable X can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable X thus follows a Poisson distribution with parameter, λ = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, [tex]X\sim N(250, 250)[/tex]

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

[tex]P(235<X<265)=P(\frac{235-250}{15.8114}<\frac{X-\mu}{\sigma}<\frac{265-250}{15.8114})[/tex]

                             [tex]=P(-0.95<Z<0.95)\\=P(Z<0.95)-P(Z<-0.95)\\=P(Z<0.95)-[1-P(Z<0.95)]\\=2P(Z<0.95)-1\\=(2\times 0.82894)-1\\=0.65788\\\approx 0.6579[/tex]

Thus, the value of P (235 < X < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{5}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{5}})[/tex]

                             [tex]=P(-0.28<Z<0.28)\\=P(Z<0.28)-P(Z<-0.28)\\=P(Z<0.28)-[1-P(Z<0.28)]\\=2P(Z<0.28)-1\\=(2\times 0.64803)-1\\=0.29606\\\approx 0.2961[/tex]

Thus, the value of [tex]P(48<\bar X<52)=0.2961[/tex].

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{10}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{10}})[/tex]

                             [tex]=P(-0.40<Z<0.40)\\=P(Z<0.40)-P(Z<-0.40)\\=P(Z<0.40)-[1-P(Z<0.40)]\\=2P(Z<0.40)-1\\=(2\times 0.65542)-1\\=0.31084\\\approx 0.3108[/tex]

Thus, the value of [tex]P(48<\bar X<52)=0.3108[/tex].

(d)

Let the sample size be n.

[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{n}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{n}})[/tex]

                             [tex]0.95=P(-z<Z<z)\\0.95=P(Z<z)-P(Z<-z)\\0.95=P(Z<z)-[1-P(Z<z)]\\0.95=2P(Z<z)-1\\P(Z<z)=\frac{1.95}{2}\\\\P(Z<z)=0.975[/tex]

The value of z for this probability is,

z = 1.96

Compute the value of n as follows:

[tex]z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241[/tex]

Thus, the sample selected must be of size 240.

hi please help ): picture is included

Answers

Answer:

a

Step-by-step explanation:

the over all total equals 200 and you can not subtract the 2 variables to get the total you have to add them

The value of a stock over a 12 year period form 2003 to 2015 is shown in the line graph. Which statement is not supported by the graph?

Answers

The correct answer is the last one listed: the statement not supported by the graph is that a stock purchased in 2006 has not yet recovered the losses from 2008. That is not true.

Answer:

an individual who invested in the market in 2006  has yet to regain the losses incurred in 2008

Step-by-step explanation:

As an estimation we are told 5 miles is 8 km.
Convert 20 miles to km.

Answers

20 miles = 32.19 kilometers

Help - I need the range for the graph

Answers

The picture is blurry I can’t see

Answer:

4, 11

Step-by-step explanation:

The lowest y value is 0, the highest value is 11

You have 8 quarts of brown stock.
You need 3 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)​

Answers

Answer:

you can make 10 servings

Step-by-step explanation:

Solve the equation
3m=2(4+t) for t

Answers

3m=2(4+t)
3m= 8+2t
3m-8=2t
(divide everything by 2)
3/2m-4=t

t=3/2m-4

The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.

Answers

Answer:

Step-by-step explanation:

We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.

Let R(x) = 300x-2x²

C(x) = 5000+4x

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 300-2x - (5000+4x)

Expand

P(x) = 300-2x-5000 - 4x

Rearrange:

P(x) = -2x+300-4x  - 5000

P(x) = -6x- 4700

The profit function is P(x) = -6x-4700

For  the company to break even, R(x) = C(x)

300-2x = 5000+4x

300-5000 = 4x+2x

6x = -4700

x = -4700/6

x = -783 units

Note that the functions are assumed. Use this concept to solve your real question

If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.

Here, We can assume revenue and expenses.

Let R(x) = 300x - 2x²

C(x) = 5000 + 4x

How do you calculate revenue profit?

It is the difference between the total revenue and the total expenses.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 300-2x - (5000+4x)

Expand

P(x) = 300-2x-5000 - 4x

P(x) = -2x + 300 - 4x  - 5000

P(x) = -6x- 4700

The profit function is P(x) = -6x-4700

For  the company to break even, R(x) = C(x)

300-2x = 5000+4x

300-5000 = 4x+2x

6x = -4700

x = -4700/6

x = -783 units

Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.

Learn more about revenue profit here:

https://brainly.com/question/13128315

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

C

Step-by-step explanation:

The points in C, when graphed, have a positive slope as well as going up or down by the same amount each time

-3-2=-5-2=-7

5-2=3-2=1

3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)

Answers

Answer:

w = 9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

:)

mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?

Answers

Answer:

Step-by-step explanation:

320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour

What is the standard form of the number shown in this calculator display?

The calculator shows five point nine three e negative five

Answers

Answer:

The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.

Step-by-step explanation:

hope this helped ✨

The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no college degree is 9.7 % while the unemployment rate for college graduates with a bachelor’s degree is only 5.2 %. Find the difference in proportions of those unemployed between these two groups and give the correct notation for the difference, with a minus sign. Since the data come from the census, you can assume that the values are from a population rather than a sample. Use the correct notation for population proportions and use subscripts on the proportions to identify the two groups. Assume high school graduates with no college degree are group 1 and college graduates with a bachelor's degree are group 2. 1Thompson, D., ‘‘What’s More Expensive than College?

Answers

Answer:

The difference is [tex]p= 0.045[/tex]

Step-by-step explanation:

From the question we are told that

The proportion unemployment rate for high graduated is [tex] p_1 = 0.097[/tex]

The proportion unemployment rate for college graduate is [tex] p_2 = 0.052[/tex]

Generally the difference in proportions of those unemployed between these two groups is mathematically represented as

[tex]p= p_1 - p_2[/tex]

=> [tex]p= 0.097- 0.052[/tex]

=> [tex]p= 0.045[/tex]

Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.

Answers

Answer:

The answer is

[tex]y = - \frac{2}{5} x - 2 \\ [/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is

[tex]y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4[/tex]

We have the final answer as

[tex]y = - \frac{2}{5} x - 2 \\ [/tex]

Hope this helps you


What is 321 divided by 49

Answers

Answer:

6.55

(6.55102040816)

Step-by-step explanation:

321 / 49 = 6.55102040816

can be rounded to 6.55 or 6.6

Answer:

6.55

Step-by-step explanation:

Solve the equation 3(x+1 )-2=x+5

Answers

Answer:

x=2

Step-by-step explanation:

first, let's distribute.

3(x+1)-2=x+5

3x+3-2=x+5

then, let's combine like terms.

3x+1=x+5

now, we subtract x on both sides.

2x+1=5

subtract 1 on both sides.

2x=4

divide by 2 on both sides.

x=2

The answer to the equation is x=2
Here’s how:

what is the reciprocal of 5 3/7

Answers

Answer: 7/38

Step-by-step explanation:

So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)

Hope this helps!

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