Some students are keeping track of how much money they earn and spend in one week. Use the table below to answer the following questions. Activity Money earned or spent (in dollars) Hourly pay $14$ Weekly allowance $21$ Buy dinner $-12$ Ride the bus $-2.50$ Part A If Kevin gets paid for $3$ hours, gets $1$ weekly allowance, rides the bus $6$ times, and has $0$ dollars at the end of the week, how many times did he buy dinner? Justify your answer. Respond in the space provided.

Answers

Answer 1

Answer:

7 TIMES

Step-by-step explanation:

BECAUSE THERE IS 7 DAYS IN A WEEK

Answer 2

The number of times dinner was bought is 4.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Money earned and spent is given below.

Hourly pay = $14

Weekly allowance = $21

Dinner = $12

Bus ride = $2.50

Kevin earned in 3 hours.

= 3 x 14

= $42
Allowance for 1 week = $21

Spent on bus ride = 6 x 2.50 = $15

Now,

Kevin remaining amount = 0

42 + 21 - 15 - x = 0

Where x is the amount spent on dinner.

63 - 15 - x = 0

x = 48

Amount spend on dinner = $48

The number of dinners.

= 48 ÷ 12

= 4

Thus,

Dinner was bought 4 times.

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Related Questions

You are helping your friend research hybrid cars. You learn that on a long- distance trip, the Chevrolet Volt traveled 571.95 miles on 12.3 gallons of gas. You also learn that the Toyota Prius traveled 753.48 miles on 15.6 gallons of gas. Determine which car got better gas mileage.


A Toyota Prius

B Chevrolet Volt


C The Two Hybrids Are Tied for the best mileage

D Not enough information to determine The answer​

Answers

Answer: A) Toyota Prius

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

Explanation:

To get the mileage per gallon, you divide the number of miles over the number of gallons.

For the Chevy Volt, the mileage is 571.95/12.3 = 46.5 miles per gallon (mpg)

For the Prius, the mpg rating is 753.48/15.6 = 48.3

So the Toyota gets the better mileage per gallon.

---------

If you're curious why we divide the numbers like that, consider this example

You drive 200 miles using 5 gallons of gas. We can form the ratio

200 miles : 5 gallons

To get the mpg rating, we need to know how many miles we can drive on 1 gallon of gas. So we divide both sides by 5

200/5 miles : 5/5 gallons

40 miles : 1 gallon

This hypothetical situation leads to 40 mpg

Hi! I need help with some math questions. Not problems though, I’ll show what I mean.

It says, “Why do you think it is important to include negative numbers in our number system?”, and, “What is special about zero (0)?”

Would appreciate it if you helped!

Answers

Answer:

Negative numbers are most important especially in the field of physics and chemistry. They help us in real life geometry and in almost everything. The discovery of the number system has changed the human civilization to such a great extent, that, without it, we can't even think of architectures and the nature's law(by calculus).

Dominantly, zero is the most ever used number and is very important to express anything.

Without it, you couldn't have the digital world (simply, no computers, no phones, no machines and no A.I.).

As we all know, Dr. Aryabhatta, the legendary guy, who made the no. '0', holds the credits!

I hope it will be useful.

Answer:

Step-by-step explanation:

i think it is important to add a 0 to know where the numbers start


Christian opened a savings account with $3250. His account will earn 5.2% simple interest.
How much money will be in his account after 6 years?

Answers

The total amount of money will be in his account after 6 years is $4264.

Given that, principal = $3250, rate of interest = 5.2% and time period = 6 years.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Substitute P=$3250, R=5.2% and T=6 years in simple interest formula

That is, S.I. = (3250 × 5.2 × 6)/100

= $1014

Amount = Principal + Simple interest

= 3250 + 1014

= $4264

Therefore, the total amount of money will be in his account after 6 years is $4264.

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(-7/10)=?/10 change to higher terms please help !!

Answers

Answer:

-7

Step-by-step explanation:

you cant change the numerator if you cant change the denominator

What angle is supplementary to AGF?

Answers

Answer: B. Angle FGD.

What is the decimal equivalent of - 2/5

Answers

you’re answer is -0.4

a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?

Answers

Answer:

1/12 lb

Step-by-step explanation:

2/3 x 1/8 = 2/24 = 1/12

Answer: 1/12

Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.

Hope this helps!

If the circumference of a circle is x, then what is the area of the circle in terms of x?

Answers

Answer:

x^2 / 4pi

Step-by-step explanation:

The area of a circle is (pi x r)^2

The circumference of a circle is 2pi x r

The find the radius, you need to divide x by 2pi, so x / 2pi

Then just plug it in as the radius:

(pi x (x / 2pi))^2 = x^2 / 4pi

how do they know what numbers to pick

Answers

Answer:

casue i said so

Step-by-step explanation:

me coooooooooooooooooo

please help brainlyest to correct

Answers

Answer:

[tex]22961.5 cm^{2}[/tex]

Step-by-step explanation:

[tex]V = \pi r^{2} h[/tex]

30/2 = 15 (to find radius, r)

[tex]V = 3.14 * 15^{2} * 325[/tex]

[tex]V = 22961.5 cm^{2}[/tex]

The least common multiple of two numbers is 24. Which could be the two numbers?

Answers

Answer:  6 and 8

Step-by-step explanation:

Answer:

6, 8

Step-by-step explanation: i hope this helps

Use the discriminant to describe the roots of each equation. Then select the best description.

2 = x2 + 5x

double root
real and rational root
real and irrational root
imaginary root

Answers

ExplanationGiven the equation.

[tex]2 = {x}^{2} + 5x[/tex]

Arrange the expression into the standard form.

[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]

Discriminant

From the standard form equation and from the given equation.

[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]

Discriminant Formula

[tex]D = {b}^{2} - 4ac[/tex]

Substitute the value of terms in the discriminant formula.

[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]

Discriminant Types

[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]

We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.

However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.

Answerreal and irrational root
x2+5x-2=0
a=1, b=5, c=-2

b2-4ac is the discriminant.
(5^2)-4(1)(-2)
25+8=33, so the discriminant is positive

This means there are two real rational roots, so the answer is the second option

through: (5, 1), slope = -1

Answers

Answer:

y = -x + 6

Step-by-step explanation:

Since the slope is -1, there is another point at (6,0), which is the x-intercept. The y-intercept is (0,6). The slope and y-intercept are then plugged into the slope-intercept form equation to get y = -x + 6

Which table represents a linear function?

Answers

Answer:

The top right option.

Step-by-step explanation:

13x + 2y - 6x + 8
A little help

Answers

Answer:

7x + 2y + 8

......................................................................................................................................................................................................................................................................................................

Answer:

7x+2y+8 if you just do this equation regularly but in point intercept from it would be

2y=7x+8

then divided the others by 2y and you get

y=3.5x+8

Step-by-step explanation:

Luis rides his bicycle 34 mile in 5 minutes along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Answers

Answer: 6.8 Miles per hour. Hope i helped you out man!

Step-by-step explanation:

408 miles per hour

Step-by-step explanation:

34=5 minutes 34+34=68 minutes

68 x 6= 408 miles per hour

Pascha is factoring the polynomial, which has four terms.


3x3 – 15x2 + 8x – 40


3x2(x – 5) + 8(x – 5)


Which is the completely factored form of her polynomial?


(3x2 – 5) (x + 8)

(3x2 – 8) (x + 5)

(3x2 + 8) (x – 5)

(3x2 + 5) (x – 8)

Answers

Answer:

[tex](3x^2 + 8)(x - 5)[/tex]

Step-by-step explanation:

Given

[tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

Required

Complete the factorization

[tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

When an equation is factorized as:

[tex]a(b + c) + d(b + c)[/tex]

The complete expression is:

[tex](a + d)(b + c)[/tex]

Apply this logic in [tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

By comparison:

[tex]a = 3x^2; b = x; c = -5; d = 8[/tex]

So, we have:

[tex]3x^3 - 15x^2 + 8x - 40 = (3x^2 + 8)(x - 5)[/tex]

Hence,

[tex](3x^2 + 8)(x - 5)[/tex] is the complete factor

Answer:

c

Step-by-step explanation:

What is the solution to the system of equations ?
Y=4x-10
Y=2

Answers

Answer:

x = 3

Step-by-step explanation:

If Y = 2, lets plug it in.

2 = 4x - 10

reverse operations,

4x = 12

x = 3

D is the answer.

Answer:

d  (3, 2).

Step-by-step explanation:

Y=4x-10

Y=2

PLug y = 2 into the first equation:

2 = 4x - 10

12 = 4x

x = 3.

The solution (x, y) = (3, 2).

help me please this do in 5 MIN

Answers

Answer:

B

Step-by-step explanation:

Because 7/12 is more then a half

Also its obvious that 1/8 is the least used

Gereome has an hour and half before he has to leave to play basketball. If it takes him 7/12 an hour to do his homework and ⅗ of an hour to find his uniform, how much time will he have left?

Answers

Answer:

Summarize the end of the story and explain the resolution— when the conflict is solved :

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Step-by-step explanation:

(2x + 6) + (9x - 5)
???

Answers

Answer:

11x + 1

Step-by-step explanation:

(2x + 6) + (9x - 5) =

2x + 6 + 9x - 5 =

2x + 1 + 9x =

11x + 1

Answer:

The answer is 11 x  +  1

Step-by-step explanation:

About 10% of Americans will go to a restaurant or an event for the New Year. About how many people would that be?

Answers

Answer:

About 33,199,213

Step-by-step explanation:

Population of America: about 331,992.130 million

331,992,130 x .10 = 33,199,213

Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, in
miles, Marisol traveled after driving for t hours.
d = 45t

Answers

Answer:

Step-by-step explanation:

D*RT

D=45*3

D=135

Marisol drove 135 MI.

The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the question

Marisol drove for  from City A to City B = 3 hours

Equation below estimates the distance d, in miles for t hours.

d = 45t

now , substituting the value

d = 45 * 3

d = 135 miles

Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .

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6th grade math help me plzzz

Answers

Answer:  x-3y+12

Step-by-step explanation:

You need to know the rules for signed numbers.  Study them.

Assuming addition of integers:

Separate your like terms and simply them:

so starting with x terms: -3x+4x ; (4x is the same as saying +4x)

so next with y terms: -2y-y; (remember -y is the same as saying -1y)

so next number with no terms: +7+5

Solve for each:  -3x+4x= 1x

                          -2y-y= -3y

                           +7+5= 12

Simplify expression with solved termsin order:  1x-3y+12

ans: x -3y +12

Hope this helped.

Plz worth 70 points

What best describes the expression 6/y

1. 6 times some number
2. 6 divided by some number
3.minus some number
4.more than some number

Answers

Answer:

6 divided by some number y

Step-by-step explanation:

Let y be some unknown number

Given an expression 6/y

The slash sign (/) there means division. Hence the statement can be described as 6 divided by some number y

Help a random guy of the internet...that sounds weird

Answers

Answer:

I think 1 is yr answer

hope it helps.

A rectangle has a width of 46 centimeters and a perimeter of 202 centimeters. What is the rectangle's length?

Answers

Answer:

The awswer is 55

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

The rectangle has a width of 46, multiply that by 2, you get 92, subtract 92 by 202 and you get 106. Divide 106 by 2 and you get 53

A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 213 pounds

Answers

Answer:

Step-by-step explanation:

The missing image is attached below.

From the given information

The number of players is 44.

From the box plot;

The minimum weight = 154 pounds

The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.

The second quartile Q₂ = 213 which is 50% of the data below 213 pounds

The third quartile Q₃ = 253 which is 75% of the data below 253 pounds

The maximum weight = 268 pounds.

Here, the value of 213 is the middle value and which signifies the median.

The 50% of the data are located both on the left side and the right side of the median.

Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.

Anna is buying school supplies. She spends $3 for a pack of 4 fancy pencils and $2 for a pencil case. Then, she buys a notebook for $2. She has a $10 bill. How much change will she receive?

Answers

1782375372927919171625828191 sry I need to answer a question

Answer:

3 not including tax, if it needs to include tax i dont know

Solve the following equations
7(3x + 5) - x = 75

Answers

Answer:

x = 2

Step-by-step explanation:

7(3x + 5) - x = 75

1. Distributive property

multiply 7 by whatever is in the parenthesis

7*3x + 7*5 - x = 75

21x + 35 - x = 75

2. Combine like terms

21x - x = 20x

20x + 35 = 75

3. Subtract 35 on both sides

20x + 35 - 35 = 75 - 35

20x = 40

4. Divide both sides by 20 since u want to isolate the variable

20x/20 = 40/20

x = 2

And thats ur answer

Hope this helped!

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