Coral spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12? Include a let statement.

Answers

Answer 1

Answer:

$16

Step-by-step explanation:

Let x=number of cars washed when y=allowance. We know she got $4 as a result of washing the car. She ends with $12, and we want to find the amount before washing the car.

$12 - $4 = $8

So, Coral had $8 before washing the car. Since she spent half of her allowance already playing golf, we know that $8 is only half of her total weekly allowance. Double this.

($8)2 = $16

Therefore, her weekly allowance is $16.

We can check this. She spent half playing golf, $16 / 2 = $8. She washes a car for $4. $8 + $4 = $12, which is what she ended with. So our answer is correct.


Related Questions

If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?

Answers

Answer:

The mass of the Blue whale is 200 times the mass of the cow

Step-by-step explanation:

Given

Mass of Cow = 9 * 10² kg

Mass of Blue Whale = 1.8 * 10⁵ kg

Required

Determine the relationship between both weights

Represent the mass of the cow with C and the mass of the whale with B

[tex]C = 9 * 10^2kg[/tex]

[tex]C = 9 *100kg[/tex]

[tex]C = 900kg[/tex]

[tex]B = 1.8 * 10^5kg[/tex]

[tex]B = 1.8 * 100000kg[/tex]

[tex]B = 180000kg[/tex]

Divide the bigger weight by the smaller weight

[tex]\frac{B}{C} = \frac{180000kg}{900kg}[/tex]

[tex]\frac{B}{C} = \frac{180000}{900}[/tex]

[tex]\frac{B}{C} = {200}{}[/tex]

Multiply both sides by C

[tex]C * \frac{B}{C} = {200}{} * C[/tex]

[tex]B = {200}{} * C[/tex]

[tex]B = 200}C[/tex]

From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−8,8) Midpoint: (−7,0)

Answers

Answer:

(-6, -8)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Simply set our variables to what we know and solve:

-7 = (-8 + x)/2

-14 = -8 + x

x = -6

0 = (8 + y)/2

0 = 8 + y

y = -8

Answer:

The other endpoint is (-6,-8).

Step-by-step explanation:

If you follow the slope that the two points made  (Endpoint: (−8,8) Midpoint: (−7,0), the slope is -[tex]\frac{-8}{1}[/tex] ) you follow it down like this:

I hope this helps

pppppplzzz HELPS ME!!!!

Answers

The answer is B)

Explanation:

In the equation 7(2B + J), the 7 indicates the seven days in a week, and the J indicates the money spent on juice.  Thus, the B must represent the money spent on granola bars.

The answer is B because if B represents dollars, that is the amount

Question 5 of 10
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = 3x - 4
y=-2x+1
A: (0, -4)
B. (2, 2)
C. (3,5)
D. (1,-1)

Answers

Answer:

D.(1,-1)

Step-by-step explanation:

A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both

Answer:

D. 1, -1

Step-by-step explanation:

Trust me g

Please help me prove that AÊD = B

Answers

Angle x = angle x in both triangles

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

Valid

Step-by-step explanation:

No calculations, but,

Def. of isosceles triangle= two congruent sides.

yes is isosceles

Step-by-step explanation:

valid

can y’all please help me

Answers

Answer:

1st blank: 160(2) - 16(2)²

2nd blank: 256

3rd blank: 5

4th blank: 400

5th blank: 10

Step-by-step explanation:

h(x) = -16x² + 160x

To find h(2) just replace x = 2 into the equation

h(2) = 160(2) - 16(2)² = 256 in

The maximum height coincides with the vertex of the parabola.

x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5

y-coordinate of the vertex: -16(5)² + 160(5) = 400

To hit the ground means h(x) = 0

-16x² + 160x = 0

16x(-x + 10) = 0

x = 0

or

-x + 10 = 0

x = 10

20 POINTS! An 85-foot wire is tied from the top of a utility pole to the top of the building as shown. Find d, the distance from the pole to the building.

Answers

Answer:

d = 78.810 feet

Step-by-step explanation:

To find the distance d we use sine

sin∅ = opposite / hypotenuse

d is the opposite

the hypotenuse is 85ft

∅ = 68°

sin 68 = d / 85

d = 85 sin 68

d = 78.810 feet

Hope this helps you

D answer 78.810......

If the gradient is negative or positive how will it be Please i need it now! Thanks

Answers

Answer:

A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.

Step-by-step explanation:

Fill in the missing amounts.

Answers

Answer:July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

hope this help

If P(x)= x3 –x2+1, Then P(0)+P(1) =

Answers

Answer:

[tex]p(0) + p(1) = 2[/tex]

Step-by-step explanation:

=> [tex]p(x) = x^3-x^2+1[/tex]

Putting x = 0 in p(x)

=> [tex]p(0) = (0)^3-(0)^2+1[/tex]

=> [tex]p(0) = 0-0+1[/tex]

=> [tex]p(0) = 1[/tex]

Putting x = 1 in p(x)

=> [tex]p(1) = (1)^3-(1)^2+1[/tex]

=> [tex]p(1) = 1-1+1[/tex]

=> [tex]p(1) = 1[/tex]

So,

=> [tex]p(0)+p(1) = 1+ 1[/tex]

=> [tex]p(0) + p(1) = 2[/tex]

The answer to this question is 2

State if a triangle is acute, obtuse, or right.
A) Obtuse
B)Acute
C)Right
ANSWER QUICK 10 POINTS!!

Answers

Answer:

acute

Step-by-step explanation:

pls help me with 15 and 16 I will make u brianlist thank u:)

Answers

Answer:

15.  c

16.  b

i hope you figure out later in life how to solve.

Answer:

A, D

Step-by-step explanation:

When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.

Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.

Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.

In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.

Answers

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do [tex]2^{7}[/tex].

That is 128

I need help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

This is just comparing what is bigger, I don't see what's so hard about it.

Step-by-step explanation:

1. >

2.>

3.>

4.>

5.<

6.<

7.>

8.<

b.

1.>

2.<

3.>

4.<

5.>

6.>

7.>

8.>

1) a: > b: >
2) a: > b: <
3) a: > b: >
4) a: > b: <
5) a: < b: >
6) a: < b: >
7) a: > b: >
8) a: < b: >

Which of the following equations describes the graph?

Answers

1/2x^2 - 2x +1

Step-by-step explanation:

it cannot be negative x as the parabola has a minimum value, the coordinates of turning point is (-1,2)

as it is -1 there has to be a negative sign in equation

so the right one is 2nd one

Answer:

Step-by-step explanation:

the graph is clearly that of a parabola that opens up and has its vertex at (2, -1).  The coefficient of x^2 must be + because the parabola opens up.  

Using the point-slope formula y - k = a(x - h)^2, and letting 2 replace h and -1 replace k, we get:

y + 1 = a(x - 2)^2  or  y = a(x - 2)^2 - 1

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12x-15

Step-by-step explanation:

In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked)  then subtracted 15, which was the fine she had to pay.

Answer:

12x-15

Step-by-step explanation:

I took the test

Yaping played 5 rounds of golf and her mean score was 80. Ken played 4 rounds of golf. If both Yaping and Ken have the same sum of golf scores, what was Ken’s mean score?

Answers

Answer:

The mean score for Ken was 100.

Step-by-step explanation:

The mean score is given by the sum of the scores in each round by the number of rounds played. So for Yaping the mean score is:

[tex]\text{mean}_{\text{Y}} = \frac{\text{sum}}{5}\\\frac{\text{sum}}{5} = 80\\\text{sum} = 5*80 = 400[/tex]

So the sum of the scores for Yaping was 400, since Ken had the same sum of score we can use that number to find his mean as shown below:

[tex]mean_{K} = \frac{400}{4} = 100[/tex]

The mean score for Ken was 100.

Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conference games. y = 40x − 25 and y = 35x − 5 (x = total games and y = amount earned) Beth determined that at 135 games, the referee would earn the same salary for each conference game. Is she correct?

Answers

Answer:

She is incorrect

Step-by-step explanation:

Step 1: substitute

135 into x in both equations

Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect

a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box​

Answers

Answer:

The asnwer is 12100 cm^2 of plastic without lid

Step-by-step explanation:

There 6 sides in a box, but there is no lid so only 5 sides.

Calulate the area of all 5 sides and add them up.

( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )

=12100 cm^2


10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?

Answers

Answer:

2 1/3 hours or 2 hours 20 minutes.

51.4 mph to 1 decimal place.

Step-by-step explanation:

Time = distance  speed

First 50 miles time taken = 50 / 60  = 5/6 hours

Second 50 miles  -  time  =  50/40 = 5/4 hours.

Final 20 miles - time taken =  20 / 80 = 1/4 hours.

Total time taken = 5/6 + 5/4 + 1/4

= 5/6 + 6/4

= 10/12 + 18/12

= 28/12

=  7/3 or 2 1/3 hours or 2 hours 20 minutes.

Average speed = total distance / total time

=  120 / 7/3

= 120 * 3/7

=  51.4 mph to 1 decimal place.

3/8 is 4 & 3/5 % of what number? (Round to the nearest hundredth.)

Answers

Answer:

n = 8.15

Step-by-step explanation:

3/8 is 4 & 3/5 % of what number?

Rewrite this as:    3/8 is (4  3/5)% of what number?

Convert 4 3/5% into a decimal:  0.046

Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.

Dividing both sides by 0.046, we get n = 8.15

2(x+3)=x-4 i really need help on this plss

Answers

Answer:

X = -10

Step-by-step explanation:

[tex]2(x + 3) = x - 4[/tex]

Multiply each term in the parenthesis by 2

[tex]2 x + 6 = x - 4[/tex]

Move variable to L.H.S and change its sign

[tex]2x - x + 6 = - 4[/tex]

Move constant to R.H.S and change its sign

[tex]2x - x = - 4 - 6[/tex]

Calculate

[tex]x = - 10[/tex]

Hope this helps...

Good luck on your assignment...

Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2

Answers

Answer:

The answer is option A.

804.2cm²

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

radius = diameter / 2

radius = 16/2 = 8cm

Surface area of the sphere is

4π (8)²

= 4(64)π

= 256π

= 804.2cm²

Hope this helps you.

Given the following three arithmetic sequences : 1, 3, ... and 1, 4, ... and 1, 5, ... A number is randomly selected from 1 to 1000, inclusive. What is the probability that the selected number is not a term of any of the given sequences?

Answers

Answer:

  0.333

Step-by-step explanation:

The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.

__

The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...

  6n -2 ≤ 1000

  6n ≤ 1002

  n ≤ 167

That is, 167 even numbers will also be excluded.

__

The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.

__

So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...

  (1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)

Answer:

1/3

Step-by-step explanation:

Which expressions are equivalent to the one below? Check all that apply.
4^3•4x

Answers

The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].

What is an expression?

An expression is a combination of symbols and it does not convey full meaning of anything.

How to make equivalent expressions?

We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.

If we see that both bases are equal so we will add the power with only one base from which  4^{x+3} .

If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]

Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.

Learn more about equivalent expressions at https://brainly.com/question/2972832

#SPJ2

pls i need it aaaaaaaahg

Answers

Answer:

5.1

Step-by-step explanation:

Answer:

1.7√9.18

= 5.4

Hope it helps

Find the value of the trigonometric ratio, tan X.

Answers

Answer:

A. 24/7

What are sine, cosine, and tangent?

SOH - CAH - TOA

sine = opposite/hypotenuse

cosine = adjacent/hypotenuse

tangent = opposite/adjacent (that is not hypotenuse)

Step-by-step explanation:

tanX = ZY/XY = 48/14 = 24/7

Answer:

24/25

Step-by-step explanation:                    opposite side

The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25

                                                                adjacent side

will mark !!BRAINLIEST!! for correct answer. Select all that apply. Which of the following shows that 5/6 = 15/16 is a proportion?
5 • 15 = 6 • 18
5 • 18 = 6 • 15
5.6/6.3 = 5/18
5+10/6+12 = 15/18

Answers

Answer:

5+10/6+12

Step-by-step explanation:

5+10 is 15

6+12 is 18

so that would be 15/8 which is equal to 15/18

That is the best answer but this question doesn't really make sense.

Hope this helps!

Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!

actually 5/6 and 15/16 are not in proportion

since 6*15 is not equal to 16*5

The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.

Answers

Answer:

50

Step-by-step explanation:

I have set up an equation, where 'x' is the larger number:

x + (x - 12) = 88

Solve for 'x':

x + (x - 12) = 88  

x + x - 12 = 88

2x - 12 = 88

2x -12 + 12 = 88 + 12

2x =  100

2x/2 = 100/2

x = 50

The larger number should be 50.

Answer:50

Step-by-step explanation:

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