During a special sale, all video games cost $26 and all movies cost $14. Derrick plans to spend some or all of his $220 in birthday money on these movies and video games. Let "x" represet the number of games Derrick can buy and "y" represent the number of movies he can buy. Write the inequality that describes this situation in standard form.

Answers

Answer 1

Answer:

[tex]13x+7y\leq 110[/tex]

Step-by-step explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220

Therefore, the inequality is [tex]26x+14y\leq 220[/tex]

Divide this inequality by 2

[tex]13x+7y\leq 110[/tex]


Related Questions

What is -14x+28+6x=-44 and show your work pls and thankyou.

Answers

Answer:

x=2

Step-by-step explanation:

-14x+28+6x=-44

-8x+28=-44

-8x= -16

x=2

combine like terms

-8x+28 = -44

subtract 28 from both sides

-8x = -72

divide both sides by -8

x = 9

What is the equation of the line that passes through the points (4,-4) and has a slope of -3/4

Answers

Answer:

the desired equation is y = (-3/4)x - 1

Step-by-step explanation:

Start with the slope-intercept formula y = mx + b.

Substitute -4 for y, +4 for x and -3/4 for m:

-4 = (-3/4)(4) + b

Then -4 = -3 + b, so b must be -1

and the desired equation is y = (-3/4)x - 1

What is StartFraction 5 Over 8 EndFraction divided by One-fourth?

Answers

Answer:

tfollow me plzzz

Step-by-step explanation:

Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles?

Answers

Answer:

20 inches

Step-by-step explanation:

Mike needs to cut out circles with an area of 314 square inches.

Let d be the diameter of required the circle,

So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]

[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]

[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]

[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex]  [ using \pi=3.14]

[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]

[tex]\Rightarrow d^2=400[/tex]

[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]

[tex]\Rightarrow d=\pm 20[/tex] inches

Neglecting the negative sign as the length of diameter can't be negative.

So, the diameter of the required circle is [tex]d=20[/tex] inches.

As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].

So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.

brainliest You are going on a plane ride. You leave at 11:00am, sight see for awhile and return back to the same airport at 4:00pm. The plane traveled at 180 miles per hour. How far did the plane fly?

Answers

Answer:900 miles

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

11: 00 am to 4: 00 pm thats a 5 hour flight basically. Then do 180 x 5 = 900 (Hope Im right and u guys understand :DD)

Find the value of x.
2x x

Answers

Answer:

2x²

Step-by-step explanation:

2xx

=2*x*x

=2*x2

=2x2

Which equations represent this fact family ? Check all that apply

Answers

Answer:

9-11=20

and

20-11=9

Step-by-step explanation:

20+11=31, not 9- the first one is not the answer

20+9-29, not 11- the third is incorrect

11-20=-9, not 9- fifth is not it

DO
BIG IDEAS MATH
DDD
Course 2: FL 2015 > Chapter 2: Subtracting Rational Numbers > Section Exercises 2.3 Exercise 23
A new road that connects Uniontown to Springville is 4 miles long. What is the change in distance when us
number
Springville
new road
Uniontown
23
mi

Answers

Answer:

19 miles

Step-by-step explanation:

Length of new road - Length of old road = Change in length = 23 - 4 = 19

Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?

Answers

Answer:

The answer is they are all correct

Step-by-step explanation:

5 +3(1) = 8 = 3(1)+5

5 +3(2) = 11 = 3(2)+5

5 +3(3) = 14 = 3(3)+5

5 +3(4) = 17 = 3(4)+5

5 +3(5) = 20 = 3(5)+5

Explain how to write fractions with denominators of 10 and 100 as decimals.

Answers

You start by looking at the zeros
If there is one zero, there’s going to be one place after the comma
If there is two zeros, there’s going to be two places after the comma and so on
For example: 2/100 will be 0,02 while 2/10 will be 0,2
I hope that helps

To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator

Reason:

Examples of fractions that has 10 and 100 as denominators are;

[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]

The steps to express the above fractions as decimals are;

Place a decimal point to the right to the number in the numerator as follows;

[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]

Move the decimal point to the left a number of places equal to the number of zeros in the denominator

Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point

Where the denominator is a 100, the decimal point is moved left two places, as follows;

[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]

Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator

100 = 10² in the denominator (move the decimal point two places left)

10 = 10¹ in the denominator (move the decimal point one place left)

Learn more here:

https://brainly.com/question/3425446

Write the equation of the line that passes through the given points.
(0,4) and (5,10)

Answers

Answer:

y = [tex]\frac{6}{5}[/tex]x + 4

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?​

Answers

Answer:

10

Step-by-step explanation:

set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10

QUESTION 5
The expression 50m + 18m in simplest form is
B.
81m
A.
28m
D.
8V2m
C.
812​

Answers

Answer:

the anwer is D.8V2m to youre question

What is -2(x - 5)- 11 in simplest form?

Answers

It would be -2x-1 if u need steps comment

Answer:

-2x - 1

Step-by-step explanation:

-2(x-5)-11

We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)

-2(x-5)-11

-2x + 10 - 11

-2x - 1

2 1/5 + 2 1/5 + 3 1/8 + 3 1/8​

Answers

Answer:

Simplify the expression.

Exact Form:

213/20

Decimal Form:

10.65

Mixed Number Form:

10 13/20

Step-by-step explanation:

The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?

Answers

Answer:

I'm so sorry I can't help

A racquetball club membership costs $22.50 per month. What would a year’s membership cost?

Answers

Answer:

270 dollars for a year, so 22.50 times 12

The cost of the membership for a year will be $270.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A racquetball club membership costs $22.50 per month.

We know that in a year, the number of months is 12.

Then the cost of the membership for a year will be given by the multiplication of the numbers 22.50 and 12.

Cost = 22.50 x 12

Cost = $270

The cost of the membership for a year will be $270.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation ​

Answers

Answer:

-2.56E5

3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation = -2.56E5

Answer: -2.56 x 10⁵

:-D

Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in interest on the account.

No other money was deposited into or withdrawn from the account.

How much was her initial deposit?

Answers

Answer: If the time is 3 1/2 years (most reasonable assumption)

Her initial deposit was $160

Step-by-step explanation:  The basic formula for simple interest is

i = prt  i is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.

For this question, you have to rearrange the equation to solve for p.

So divide both sides by rt and you have

p =  i/rt

Substitute the values given

p = 36.40/(0.065)(3.5)

Answer: $160.00

Step-by-step explanation: Answer confirmed on test

A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).

Answers

Answer:

2minutes

Step-by-step explanation:

Since the expression for the amount of gas in the tank is given as

g = 5t + 4

we already know that g=14 which is the capacity of the tank

so let us put g=14 we have

14=5t+4

solving for t, which is the time taken to fill up the tank that already has 4 gal already we have

14=5t+4

14-4=5t

10=5t

t=10/5

t=2min

Therefore the time taken to fill the tank is 2minutes

You have 23.8 feet of string that you need to cut into 3.4 feet sections. How many sections of
string will you be able to make?

Answers

Answer:

7

Step-by-step explanation:

[tex]23.8 \div 3.4 = 7[/tex]

Solve for p, I don't know what else to add but yeah
solve for p?
Also explain

Answers

Answer:7

Step-by-step explanation:

6p-4+7p+3=90

13p-1=90

13p=91

p=7

What does this mean exactly?​

Answers

Answer: Choice B  [tex]y \le 0[/tex]

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

Explanation:

They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.

The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.

So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]

Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.

The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]

One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".

Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.

find the midpoint of (-8,-9) and (-5,1)

Answers

The midpoint would be (-13/2,-4)

please answer 60 points worth

Answers

Answer:

The answer is C

Explanation:

This is because 2(-2) + -2 is smaller than -4

Answer:

THANKS SM

Step-by-step explanation:

answer the question(s) will give brainliest if correct
---
thanks

for 2) please explain

Answers

Answer:

d=r*2

πtimes the diameter

Step-by-step explanation:

diameter is twice the radius

there is nothing like that

Write an equation that relates the sale price, s, to the original price p.

Answers

Answer:

s= px

Step-by-step explanation:

Which is true about x, the quotient of the division problem shown below? х 81 918 O The quotient contains a repeating decimal. O The quotient contains a terminating decimal. O The quotient is a whole number less than 11. O The quotient is a whole number greater than 11

Answers

Answer:

The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".

Step-by-step explanation:

The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.

[tex]\to \frac{81}{918}= 0.0882352941[/tex]

It wasn't a repeating decimal, however a final decimal, so it's got an end.

Its quotient may be less than 11 in total.

Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .

Answer:

a

Step-by-step explanation:

Only do 12(I will mark brainlest

Answers

Answer:

D

Step-by-step explanation:

None of them show the Unit Rate

Answer:

B because unit rate is for a single unit.

Find the slope on the graph?

Answers

Answer: I believe it’s 1/2

Step-by-step explanation: it cannot be a negative answer because The point on the graph is on the positive side

Answer: 2

Step-by-step explanation:

The slope of a graph is rise over run.

Find a perfect point on the graph and go to the next perfect point.

An example is:

(-2, 0) and (-1, 2)

To get from the first point to the second, you go up 2 over 1.

It’s rise (up) over run (left or right) so it’s 2/1.

2 divided by 1 is just 2.

Your slope is 2.

Hope this helps!

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