4x + 3y = 24
Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given
equation represents this situation, which of the following is the best interpretation of 24 in this context?
A The total cost, in dollars, for all binders purchased
B The total cost, in dollars, for all notebooks purchased
C The total cost, in dollars, for all binders and notebooks purchased
D The difference in the total cost, in dollars, between the number of binders and notebooks purchased

Answers

Answer 1

Answer:

C The total cost, in dollars, for all binders and notebooks purchased

Step-by-step explanation:

x = the cost of a binder

y =  the cost of a notebook

Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each.

4x + 3y = 24

If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?

The total cost, in dollars, for all binders and notebooks purchased.


Related Questions

What is the multiplicative inverse of 1 1/3?

Answers

According to the given statement the multiplicative inverse of 4/3 is 3/4.

What is multiplicative inverse?

A multiplicative inverse as well as reciprocal for a number x, indicated by 1/x or x1, is a number that produces the multiplicative identity, 1. b/a is the multiplicative inverse of either a fraction a/b. Divide 1 by the number to find the multiplicative inverse.

How Do You Find the Multiplicative Inverse?

Flipping the numerator and denominator yields the multiplicative inverse of a fraction. 1's multiplicative inverse is 1. The multiplicative inverse of 0 is unknown. 1/x or x-1 seems to be the multiplicative inverse of something like a number x.

According to the given data:

Given 1*(1/3)

This can be written as 4/3.

The multiplicative inverse of 4/3 is 3/4

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W X and ←→ Y Z intersect at point V. If m ∠ W V Y = ( 4 a + 58 ) ° and m ∠ X V Y = ( 2 b − 18 ) ° , find the values of a and b such that ←−→ W X is perpendicular to ←→ Y Z

Answers

The values of a and b are 8 and 54 respectively.

As WX and YZ are perpendicular to each other and they intersect at point V, so both ∠WVY and ∠XVY are 90°.

Given that,

∠WVY = (4a + 58)°

∠XVY = (2b - 18)°

Which means:

4a + 58 = 90

4a = 90-58

4a = 32

a = 32/4

a = 8

and 2b - 18 = 90

2b = 90+18

2b = 108

b = 108/2

b = 54°

hence we get the values of a and b as 8° and 54°

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Simplify to a single power of 3:

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{3^8}{3^3}=3^{8-3}=3^{\boxed{5}}[/tex]

An albatross is flying 87 m above the surface of the ocean. Directly below the albatross, a sea gull is flying 6 m above sea level. Directly below
the birds is a shark, swimming 23 m below sea level. Determine each of the following. Explain your work for each.
a) The difference in height between the sea gull and the shark.
b) The distance between the heights of the sea gull and the shark.

Answers

Using simple addition and multiplication, we concluded that the difference in height between sea gull and shark is 17m and distance between the heights of the sea gull and the shark is 29m.

Given,

Albatross is flying 87 m above the surface of the ocean

Sea gull is flying 6 m above sea level

shark is swimming 23 m below sea level

a) The difference in height between sea gull and shark is -

23m - 6m

= 17m

b) The distance between the heights of the sea gull and the shark is -

23m + 6m

= 29m

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What is the result when the number 25 is increased by 20%?​

Answers

30. 20% of 25 = 5, 25+5=30

Tomas works as an underwater photographer. He starts at a position that is 17 feet below sea level. He rises 9 feet, then descends 18 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.

Answers

Answer:

26 below sea level

Step-by-step explanation:

-17+9=-8

-18-8=26

Given the equation y = 3x + 7, which word(s) best describes the 3? Select all that apply.
*
slope
y-intercept
x-intercept
coefficient
constant

Answers

Slope & coefficient

This equation is a linear equation in slope-intercept form. The 3 describes the slope of the line and is a coefficient for the variable x.

Is the situation an example of a continuous or discrete relation?
a. Bag of Apples
b. Distance from here to the moon
c. Area of a circle
d. Number of telephones calls made each day
e. The height of a ball as it is thrown into the air.
f. The balance in an account over a week.

Answers

The variables are:

a) discrete.

b) continuous.

c) continuous.

d)  discrete.

e) continuous.

f)  discrete.

Is the situation an example of a continuous or discrete relation?

A continuos variable can take any value in a dense set, while a discrete variable can only take some selected values.

a) "Bag of apples"

Here the variable is the number of apples in the bag, we can only have whole numbers of apples, then this variable is discrete.

b) "Distance from here to the moon"

This is a distance, so the value is continuous.

c) "Area of a circle"

Exactly like in the case above, the area is continuous.

d) "Number of telephone calls made each day"

Like in the first example, here the variable can only take whole numbers thus, it is discrete.

e) "The height of a ball as it is thrown into the air."

Similar than case b, a height can take any value on a given range, thus, this is continuous.

f) "The balance in an account over a week."

Here the balance can only be a number followed by 2 digits after the decimal point, so from:

$23.50

We can only go up to:

$23.51

Then all the values in between are not allowed, this means that the variable is discrete.

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5.21 x 10 to the power of 9 in standard notation

Answers

Answer:  5210000000

Step-by-step explanation:9 places to the right from the decimal

Answer:

5210000000

Step-by-step explanation:

Move the decimal point nine places to the left to get your answer.

25 students in class A did a science exam. 30 students in class B did the same science exam.

The mean mark for the 25 students in class A is 67.8 The mean mark for all the 55 students is 72.0

Work out the mean mark for the students in class B.

Answers

Answer: The mean mark for class b is 4.2

Step-by-step explanation: All you have to do is 72.0 - 67.8

Equations and Fun
Guided Practice
What is the domain of the set of ordered pairs {(-4, 0), (-2, 2), (0, 1), (2, 3), (3, 4)}?
A. {-4,-2,0, 2, 4}
B. (-4,-2, 0, 1, 2}
C. {0, 1, 2, 3, 4)
D.
(-4,-2,0, 2, 3}

Answers

Answer:

D

Step-by-step explanation:

Remember that domain is the set of all x-values. Therefore, looking at ONLY the first number for each of the listed ordered pairs, your answer D would be the only answer to include all the correct x-values.

What are the zeros of the polynomial y = 3x(x - 2) (2x + 7)?

Answers

Answer:

the second answer option

Step-by-step explanation:

come on, that is really easy, now that the polynomial is already written that way.

when is the product of several factors 0 ?

when at least one of the factors is 0.

so let's go through, when are the factors 0 :

3 : can never be 0. 3 is 3.

x : yes, when x = 0.

(x - 2) : yes, when x = 2

(2x + 7) : ok, that requires a little bit of thinking

2x + 7 = 0

2x = -7

x = -7/2

and that's it.

at, the correct answer is

0, 2, -7/2

During the past week, an accounting firm made a total of 77 long distance calls to its clients. Twenty-four of the calls were less than or equal to 30 minutes in duration while 41 of the calls were less than or equal to 40 minutes. The longest call was one hour and fifty-five minutes and the tenth percentile of the length of calls was 20 minutes.

Step 4 of 5 : What percentage of the calls were greater than 30 minutes in duration? Round your answer to the nearest whole number percentage.

Answers

The percentage of the calls were greater than 30 minutes in duration is 69%.

How to illustrate rye information?

Let N = 77 Total long-distance calls

X= 24 calls are less than or equal to 30 minutes duration

Y = N - X= 77 - 24= 53 calls are greater than 30 minutes duration

To find the percentage of calls greater than 30 minutes duration. This goes thus:

= Number of calls greater than 30 minutes / Total calls

= 53 / 77

= 0.69

Therefore, 69% of the call were greater than 30 minutes in duration.

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!WILL GIVE BRAINLIEST! The temperature of a city changed by a total of -20 over a 4 week time span.​

Answers

The average rate of change in temperature per week will be -5°C.

How to calculate the average temperature

It should be noted that from the information, the temperature of a city changed by a total of -20 over a 4 week time span.

Therefore, let the average rate of change per week be illustrated as x

Therefore, the average rate of change in temperature per week will be:

= Total change in temperature / Number of weeks

= -20 / 4.

= -5

Therefore, the average rate of change in temperature per week will be -5°C.

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ASAP Please!
Beth purchased a $50,000 nonparticipating whole life insurance policy. The annual premium was $1,608. The cash value of the policy after 10 years will be $13,740. Assuming 5% interest rates. What is the traditional net cost of this policy, per thousand per year, over the first 10 years the policy is in force? (Round your answer to 2 decimal places)

Answers

Based on the annual premium, the cash value of the policy, and the number of years, the traditional net cost of this policy over the first 10 years is 5.76.

What is traditional net cost?

First, find the net cost over 10 years:

= Total premium over 10 years - cash value

= (1,608 x 10) - 13,740

= $2,340

The net cost per year is:
= 2,340 / 10

= $234

The traditional net cost of this policy, per thousand per year for the first 10 years is:

= 234 / 50,000 x 1,000

= 4.68

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.56 x 72
Please help me find the answer to this quick

Answers

The answer for this is 40.32

Which of the following statements is equivalent to 18 + 6?

Answers

We could say 18 + 6 = 2(9+3) as one example

Or 18+6 = 3(6+2) as another example

Or 18+6 = 6(3+1) as another example

There are few approaches so it depends on what answer choices you are given.

find the measures of the angles of a triangle if the angles are resented by x, 4x, and 4x. show work

Answers

Answer:

x = 20

Step-by-step explanation:

Total degrees of a triangle = 180 degrees.

The three angles are x, 4x & 4x

x + 4x + 4x = 180 degrees

x + 8x = 180 degrees

9x = 180 degrees

(9x)/9 = 180/9

x = 180/9

x = 20

three lakes lost water during a drought. Lake Jensen lost 1/6 of its water, Lake parlow lost 26% of its water, and lake stockton lost 33/200. which lake lost the least amount of water whats the answer?

Answers

Answer:

lake stockton

Step-by-step explanation:

26% is equal to 26/100

you have to figure out a common denominator for all three numbers. the easiest for me was 600

to get from 1/6 to x/600 you multiply by 6 so you do the same to the top. equaling 100/600

for 26/100 you times top and bottom by 6 equaling 156/600

for 33/200 you multiply by 3 on both equaling 99/600

now you can clearly see that 99/600 is the least amount

7/11 divided by 4/5 if you can pls show the work

Answers

Answer:

please rate as brainliest

Step-by-step explanation:

7/11 divide 4/5

just intertwine the second fraction values since it is divided and you should put multiplication

=7/11 × 5/4

=35/44 or 0.7954545455

Answer:

35/44

Step-by-step explanation:

see picture above it is the answer

Evaluate Cross multiply :)

Answers

The answer is six.

5x = 30
5x/5 = 30/5
x=6

please help me in my maths question
Mike have Two pairs of shoes he is wearing red shirt his height is 6ft calculate his hair..​

Answers

Answer:

It is a buzz cut.

Step-by-step explanation:

It is well-known that football players are around that height and own at least two pairs of shoes. Considering his shirt color, I would say he is a Cardinal player. Considering how terrible they did last time they played (I don't watch football), I'd say he would want to cut his hair in shame.

Correct answer gets brainly!

Answers

It’s 90 degrees due to it being a right angle

Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?

Answers

Answer:

3x+2y=8.75

2x+4y=8.5

solving above two we get 

x=9/4

y=1

Then x+3y=2.25 + 3=5.25

Step-by-step explanation:

Find the distance between each pair of points. The points are (3,-5) and (-2,0)

Answers

Answer:

5√2

Step-by-step explanation:

The distance formula is the the square root of the difference of the x (delta x) squared plus the difference of the y (delta y) squared. So, you would do

0 - (-5) = 5 & -2 - (3) = -5

Then

5² + (-5)² = 25 + 25 = 50

Square root 50

5√2

Hope this helps! :)

answer quickly but only if you are sure

or else you are getting reported :D

Answers

Answer:

0.0092

Step-by-step explanation:

Rewrite the denominator out of its scientific notation. The numerator will always be 1 when you are working with whole numbers turning into fractions.

[tex]=9.2\cdot \frac{1}{10^3}\\=\frac{1\cdot \:9.2}{10^3}\\=\frac{9.2}{10^3}\\=\frac{9.2}{1000}\\=0.0092[/tex]

Determine whether the following procedure results in a binomial distribution or a distribution that
can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not
binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
In a Pew Research Center survey of 150 subjects, the ages of the respondents are
recorded.

Answers

The correct statement regarding whether the situation results in a binomial distribution is:

C. It is not binomial because there are more than two possible outcomes.

What is required for the binomial distribution to represent a situation?

Three things are needed for a situation being represented by the binomial distribution:

Each trial having only two possible outcomes, one equivalent to success and one to failure.Fixed number of trials.Each trial is independent, that is, the probability of a success on a single trial is independent of any other trial.

For this problem, for each respondent, there are multiple possible ages, a number greater than 2, hence the binomial distribution cannot be used and option c is correct.

The trials are independent, because the age of a respondent is not related to the age of any other respondent, hence option b is wrong.

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Which figure is 34 ft

Answers

We need answer choices?

Answer:

Yup, u need answer choices


1/2|4x + 3/4|>7/8
solve the inequality. express the answer using interval notation

Answers

Answer:

2.35

Step-by-step explanation:

Create a polynomial that has 4 terms, a degree of 6, a leading coefficie
and a constant term of -5.5.

Answers

-6 is the product of this equation,

therefore there are no constant term or leading coefficient.

enter image source here

The degree of a polynomial is the highest degree of its terms

The leading coefficient of a polynomial is the coefficient of the leading term

Any term that doesn't have a variable in it is called a "constant" term

types of polynomials depends on the degree of the polynomial

x5 =        ax2+bx2+c =0

x4 = quadratic

x3 = cubic

x2 = quadratic

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division

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