Grant spent half of his weekly allowance. Then he earned $5 back by doing the dishes. What is his weekly allowance if he ended with $15?

Answers

Answer 1

Answer:

Grant's weekly allowance is $20.

Step-by-step explanation:

We know that Grant ended with $15. We can say that Grant's weekly allowance is x.

x/2 + 5 = 15

Now to solve:

x/2 + 5 - 5 = 15 - 5 (subtract 5 from both sides to isolate the x/2)

x/2 = 10

x/2 * 2 = 10 * 2 (multiply both sides by 2 to isolate the x)

x = 20

Grant's weekly allowance is $20.


Related Questions

can someone help me please?

The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?

Strategy:

why did you choose this strategy:

Answers

Answer:  4368 square feet

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25

Answers

Answer:

$36.75

Step-by-step explanation:

You do 5% of 35 which equals 1.75 that’s your sales tax.

then add 1.75+35.00= 36.75

Which statement is true?


1
3
(
n
+
3
)
=
1
3
n
+
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3

1
3
(
n
+
3
)
=
1
3
n
+
1

1 third times open paren n plus 3 close paren is equal to 1 third n plus 1

1
3
(
n
+
3
)
=
1
3
n
+
3
1
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third

1
3
(
n
+
3
)
=
1
3
n
+
4
3

Answers

Answer:

the answer is they are the same

Answer:

yes

Step-by-step explanation:

explanation: yes

me: yes

you: yes

others: yes

john cena: no :)

confusion confusion

confusion confusion

Help please 25 Points + Brainliest
x=6 y=4 solve 3x^2y+4x/y

Answers

Answer:

114. There is something wrong with the options im 100% sure its 114 talk to your teacher.

The solution is just to substitute

Find the value of x.

Answers

Answer:

x=102

Step-by-step explanation:

X= 102!!!! Hope this helped

Mr. Mills is 5 feet and 11 inches tall. How many inches tall is he?

Answers

Answer:

71

Step-by-step explanation:

There are 12 inches in a foot:

12 inches x 5 feet = 60

60 + 11 inches = 71 inches total

Answer:

71 inches

Step-by-step explanation:

12 inches in a foot

12*5

60+11

71 inches

Hope this hopes. Have a great day. May it be filled with joy and happiness.

Simplify the expression:
10t - 40 + 3t + t

Answers

Answer:

Your correct answer is 14t - 40

Step-by-step explanation:

Combine like terms:

10t + 3t + t = 14t

Since there are no other integers, just tag on the -40:

14t - 40

**please mark brainliest!!

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Answers

Answer:

y=3x+2

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

facts: slope is m, and b is y-intercept

y=3x+2

hope this helps!

What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?

Answers

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

find the mean median and mode of the data set :15,11,14,10,12,15,15

Answers

Answer:

Mean = 13.14, Median = 14, Mode = 15

Step-by-step explanation:

The mean is the numbers added together divided by the number of numbers

15 + 11 + 14 + 10 + 12 + 15 + 15 = 92

92 / 7 = About 13.14

The median is the middle of the numbers ordered from least to greatest

10 11 12 14 15 15 15

14 is in the middle so that is the median.

The mode is the number showing up the most.

15 shows up 3 times so it is the mode.

But his teacher that he needed to measure the height of a building in which his classroom is located he backs away from the building and places a mirror on the ground between him and the wall when he can see the top of the building in the mirror Peter is 2‘9“ away from the mirror and the mirror is 11 feet away from the wall of the building Peter knew his eye level was exactly 5‘6“ off the ground so he was able to calculate the height of the building how tall is the building in feet

Answers

Answer:

IT'S 22 JUST FOUND OUT

Step-by-step explanation:

the graph shows the number of calories Natalia burned while running.
What is the slope of the line ?
What does the slope tell you ?​

Answers

Answer:

slope is y=10x.

Slope shows that she is consistently burning 10 calories per minute

Step-by-step explanation:

Write 24 as a product of primes.
Use index notation when giving your answer.​

Answers

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3    3 is not divisible by 2, so we move on to 3.

3/3 = 1    We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3

In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.

Answers

3 out of 12

1 out of 4

yea hopefully correct

1, 6, 36, 216, ...

Find the 10th term in the sequence using the explicit formula.

Answers

The answer is 10077696
Because you multiply them by 6

how do you find the perpendicular distance between a line segment and a point? (photo attached) i’m stuck

Answers

Answer:

Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]

Approximate Distance = 2.529822

============================================

Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]

I'm skipping steps because listing everything out would take up way too much space in my opinion.

--------------------------------------------------------

The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]

Optionally we can rationalize the denominator like so

[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]

There are different ways to write down the answer, but they all represent the same number.

Which expression represents each mathematical phrase?

Drag the answer into the box to match each phrase.

(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number

(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x

Answers

Answer:

(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7

i need this question answered by 2:30 its for 20 points pls help

Answers

Answer:

46800

Step-by-step explanation:

10x15x24x13=46800

Answer; 221
Adding 24and10. Then divide by 2 then after multiply that number by the height !

PLEASEEEEEEEEEEE NO ONE IS HELPING ME!!!!!!!!

George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.

How many pages will George have written after 3 hours?

Answers

Answer:

George would have 7 pages complete

Step-by-step explanation:

Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7

Can someone pls answer these if someone gives me a step by step answer gets brainliest and 100pts

Quadrilateral ABCD has been dilated by a scale factor of -5/3, Quadrilateral A'B'C'D' is an enlargement of the pre-image.

Question 17 options:
True
False

Question 18 (5 points)
Quadrilateral MNPQ has been dilated by a scale factor of 1/2, Quadrilateral M'N'P'Q' is an enlargement of the pre-image.

Question 18 options:
True
False

Answers

9514 1404 393

Answer:

  17. True

  18. False

Step-by-step explanation:

A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.

__

17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).

__

18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.

drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
wice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Vhich system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?

Answers

Answer:

g = 2d - 8

g + d = 46

16-2<5
solveeeeee itttttt​

Answers

[tex]b-2<5\\b<5+2\\b<7[/tex]

Therefore, the answer is b < 7.

What is the value of x in the equation below?
29.46=13.82+4x

Answers

Answer:

x=3.91

Step-by-step explanation:

29.46=13.82+4x

13.82+4x=29.46

subtract 13.82 from both sides

4x=15.64

divide by 4

x=3.91

Review: Angle Bisectors
A
Directions: Label the diagram with the
proper congruence markings and known
measurements.

Answers

Answer:

m∠AOC = 15°m∠BOC = 15°

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

m∠AOCm∠BOC

as

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,

m∠AOC = 15°m∠BOC = 15°


Write the slope of a line perpendicular to y=-6x+4. Explain why it is perpendicular

Answers

Answer:

1/6 is the slope since you have to flip it

Step-by-step explanation:

Answer:

The slope of a line perpendicular to the equation is 1/6 or x/6.

This is perpendicular because it is the reciprical of the other equation

Step-by-step explanation:

y=-6x+4.

the slope intercept form is y=mx+b

m is the slope

m=-6

for the equation to be perpendicular then the slope is the reciprical

Knowing this lets find a line perpendicular to this equation

Equation:

y=1/6x+2/3

or

y=x/6+2/3

Emilio has 2 quarters, 4 dimes, 3 nickels and 5 pennies. How much money does Emilio have in all?

Answers

Answer:

$1.10

Step-by-step explanation:

What we know:

Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.

Quarters = 0.25 * 2

Dimes = 0.1 * 4

Nickels = 0.05 * 3

Pennies = 0.01 * 5

$0.50 + $0.40 + $0.15 + $0.05

$0.90 + $0.20 = $1.10 in total

Here's a graph of a linear function.
Write the
equation that describes that function.
Express it in slope-intercept form.

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

As per graph, using the points (-6, 0) and (0, 3) we determine that:

the y-intercept is 3 and the slope is m = (3-0)/(0 - (-6)) =  /3/6 = 1/2

So the equation is:

y = mx + by = 1/2x + 3

Sue wakes up at 7:45 A.M. and jogs for 40 minutes. She then spends 45 minutes dressing for school before she catches the bus. At what time does Sue get on the bus?​

Answers

sue would get on the bus at 9:10

Answer:

9:00

Step-by-step explanation:

a) An agent sold some carpets at the rate of Rs 4500 each and received Rs 9000 as commission
at 10%. Find the number of carpets he sold.​

Answers

Answer:

A

Step-by-step explanation:

not sure gusto ko lang tumulong

Rs 9000 = 10%
Multiply by 10
Rs 90,000 = 100%

90,000/4500 = 20 Carpets sold

the question is "what is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted"

please help!​

Answers

Answer:

Rate Of Change= 7

Step-by-step explanation:

all you have to do is see the difference, imma make a table here first

x       y

1       10

3      24

6      45

11      80

15    108

from 10 to 24 you add 14

from 1 to 3 you add 2

so y/x

14/ 2 = 7

check:

from 24 to 45 you add 21

from 3 to 6 you add 3

so y/x

21/3 = 7

From y/x your final answer will always be 7.

So the rate of change will be 7.

Hope this helped a little!

Other Questions
Use the extended form find the perimeter of the square shape of 10cm and 18cm Find the solution of the system of equations.8x + 6y = 289x + 3y = 39 Which of the following is one of the steps in the criminal justice process?arraignmentreleasedetainmentinformal adjustment What is an equation of the line that passes through the point (2,-5) and is parallel to the line 6x +y = 6? Find the unit rate. Round to the nearest hundredth, If necessary.$290 for 12ft Whos speech was better about the Berlin Wall (2-4 paragraphs) 100 POINTS!! Name and describe three important architectural advancements that are featured heavily in Roman architecture. Name and describe some famous Roman buildings or architectural achievements. which element will chemically combine with fluorine to form a salt?a. carbonb. lithiumc. neond. oxygen Newton's first law of motion: Objects in motion will stay in motion and objects at rest will stay at rest, unless acted on bya. frictionb. accelerationc. unbalanced forced. contact force 1. what is public opinion ? a, views of the media about government policies. b, views of the people on issues of public interest.c, views of parents on their child's performance. 1.) Any difference between members of the same species is:A.) AdaptationB.) OverproductionC.) VariationD.) Competition2.) Claw length on Galapagos Island iguanas is an adaptation to its.A.) Predators B.) Habitat C.) ClimateD.) Attractiveness to mates3.) Which of the choices below provide direct evidence of evolution?A.) Fossils B.) Plate tectonicsC.) The Cambrian ExplosionD.) DNA E.) All the above F.) None of the aboveG.) Both A and D4.) The earliest multicelled organisms on Earth were.A.) BacteriaB.) VertebratesC.) InvertebratesD.) Plants5.) Overproduction takes place when:A.) Organisms have to fight for resources.B.) Humans choose which organisms can reproduce.C.) There are differences in organisms of the same species.D.) Organisms have more offspring than can possibly survive.6.) Scientists can determine the absolute age of rocks through:A.) The Law of SuperstitionB.) Index fossilsC.) Radioactive datingD.) Fault lines7.) Humans showed up on the geological time scale during the:A.) Mesozoic EraB.) Cambrian PeriodC.) Cretaceous PeriodD.) Cenozoic Period8.) What change in Earth's atmosphere allowed life to form?A.) Solar radiation split moleculesB.) A meteor strikeC.) The formation of the oceansD.) The development of an ozone layer.PLEASE HELP!!!!!!!! THIS IS DO TODAY I NEED HELP PLS what is the name of the covalent compound N5Cl8 What is the value of 2y- 6 if y = 12 Write the equation in slope-intercept form of the line that passes through the points (5,4) and (16,) How many students voted for eachparticipant? Which statement is true?13(n+3)=13n+31 third times open paren n plus 3 close paren is equal to 1 third n plus 313(n+3)=13n+11 third times open paren n plus 3 close paren is equal to 1 third n plus 113(n+3)=13n+3131 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third13(n+3)=13n+43 who is good at chemistry?! HMU asap!!! need answers help !!! it / know/says/ better/ she/ that/ to/ is/ this.