Maleri Designs sells cartons of cloth face masks ($10) and cartons of hand-sanitizer ($4) on eBay. One of their
customers, Mod World, purchased 24 cartons for $210. How many of cartons of each did Mod World purchase?
Check your answer. Hint: Let F = Face masks.

The equation for calculation of total length is L = 54 + 3D and the total length for 37 days 165 miles.

The equation will be formed as total length will be sum of first length travelled with the product of number of miles travelled each day and number of days. Representing this as the equation -

L = 54 + 3D

Now, keep the value of D in formula to find the total length.

L = 54 + 3×37

Performing multiplication on Right Hand Side of the equation

L = 54 + 111

Performing addition on Right Hand Side of the equation

L = 165 miles

Therefore, the equation is L = 54 + 3D and total length is 165 miles.

Learn more about expression -

https://brainly.com/question/21405634

#SPJ1

Answer:

The equation of the line is y=3x+3

Answer:

5.5

Step-by-step explanation:

0.4x = 2.2

x = 5.5

Question 1:

Each of these options can be read as "8 to 15", except for 15:8. This is read as "fifteen to eight". Lets say in 8:15 you have 8 of a and 15 of b. In 15:8, however, you have 15 of a and 8 of b. These are not the same ratio.

Question 2:

The amount of people that can go down the slide in 1 minute is 6, because 18/3 = 6. So:

12/6 = 2
6ppl/1min (multiply both terms by 2)
12ppl/2min

It would take 12 people 2 minutes to go down the slide.

Answer:

25%

Step-by-step explanation:

(40-32 / 32) × 100% = 25%

From the information provided, The original price had a discount of 35% slash during he clearance.

This means the clearance sales price would be;

This means a dress that "originally" cost $120 now sells for $78 during the clearance sales.

The dress is now on sale for 20% off.

Therefore, the final price would be;

ANSWER:

The final price is $62.40

sin G = 0.84

Explanation:

We will apply trigonometry ratio SOHCAHTOA:

sin G is sine ratio (SOH)

sin G = opposite/hypotenue

Answer:

[tex]y=\frac{-1}{3}x+5[/tex]

Answers being -1/3 and 5

Step-by-step explanation:

In slope-intercept form, you seem to be missing your slope and intercept.  Luckily, the graph has everything you need.

Recall slope is rise over run or y over x.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

The slope of this line can be determined by counting the x and y movements of the line between two intersections where it evenly collides.  For instance, between (0,5) and (3,4), the line moves right three and down one.  

This would give you a slope of -1/3.

Another way to find the slope is to choose any two points and use the slope formula above.  Using those same two points:

[tex]m=\frac{4-5}{3-0}[/tex]

[tex]m=\frac{-1}{3}[/tex]

Now you have the first part of your answer.  The slope is -1/3.

The second part is the y coordinate of the y-intercept.  In this case, the graph includes the intercept, which we can clearly determine is (0,5).  Therefore, your second answer would be 5.

The full answer being [tex]y=\frac{-1}{3}x+5[/tex].

The required scale factor is;

So, the required scale factor is 0.67 or 67/100

The equivalent of one square meter in square feet is  10.89 [tex]ft^{2}[/tex]  and of one cubic meter in cubic feet is  35.937 [tex]ft^{2}[/tex].

One meter is about 3.3 ft. So, we can write

1 meter = 3.3 ft

Part : A

We know, 1 meter = 3.3 ft

On squaring both sides of this equation, we will get

[tex](1 meter )^{2}[/tex]= [tex](3.3 ft )^{2}[/tex]

1 [tex]meter^{2}[/tex] = 10.89 [tex]ft^{2}[/tex]                                   equation 1

The equivalent of one square meter in square feet is  10.89 [tex]ft^{2}[/tex] .

Part : B

We know, 1 meter = 3.3 ft

On taking cube on both sides of this equation, we will get

[tex](1 meter )^{3}[/tex]= [tex](3.3 ft )^{3}[/tex]

1 [tex]meter^{3}[/tex] = 35.937 [tex]ft^{3}[/tex]                                   equation 1

The equivalent of one cubic meter in cubic feet is  35.937 [tex]ft^{2}[/tex]

To know more about Unit Conversions refer to the link:

https://brainly.com/question/141163

#SPJ1

Given:

The sum of measures of A and B is 90°

so, we have the following equation:

And, A is 30° less than twice B

so, we have the following equation:

Solving the equations (1) and (2)

Substitute with A from equation (2) into equation (1)

Substitute with B into equation (2) to find A:

So, the answer will be:

The measure of angle A = 50

The measure of angle B = 40

Answer

The amount that Diana's sister would buy the remaining 720 square inches piece of cloth = $5

Step-by-step Explanation

We are told that Diana bought a piece of cloth that was 48 inches wide and 1 yard long for $12.

Then, she had different parts of the cloth taken to do different stuff until the remaining piece of the cloth was to be bought by her sister at the same rate that she bought the original full piece of cloth.

Before we proceed, we need to establish and find the initial rate of the cloth, that is, how much is 1 unit of area.

Area of a rectangular figure (the cloth) = Length × Breadth

Length of the cloth = 1 yard = 36 inches

Breadth of the cloth = 48 inches

Area of the cloth = 36 × 48 = 1728 square inches.

1728 square inches of the cloth = $12

1 square inch of the cloth = (12/1728) = (1/144) dollars

So, now, we can now find how much of the cloth is removed.

- She cut off one-fourth of the cloth to make a tablecloth.

One-fourth of the 1728 square inches piec of cloth = (1/4) × 1728 = 432 square inches

- She used a piece that was 12 inches wide and 12 inches long to make a scarf.

Area of the piece she used to make a scarf = 12 × 12 = 144 square inches

- She used a piece that was 1.5 feet by 2 feet to make a cover for a pillow.

To find the area of this piece, we need to convert the dimensions into inches.

1 feet = 12 inches

So,

1.5 feet = 18 inches

2 feet = 24 inches

Area of this piece of cloth = 18 × 24 = 432 square inches

So, her sister now wants to buy the remaining piece of cloth from Diana.

Originally, the piece of cloth was 1728 square inches.

The total area removed from the original piece of cloth sum up to

432 + 144 + 432 = 1008 square inches.

The remaining piece of cloth will now have an area calculated by subtracting the area of pieces removed from the original area of the piece of cloth.

The area of the remaining piece of cloth = 1728 - 1008 = 720 square inches

Recall that the Diana's sister wants to but the remaining piece of cloth at the rate that Diana bought the original piece of cloth.

We have calculated this rate at which Diana bough the original piece of clothing to be (1/144) dollars for 1 square inch. So, we can then use this rate to calculate the amount Diana's sister will pay for the remaining piece of cloth

Area of the remaining piece of cloth = 720 square inch

1 square inch costs (1/144) dollars.

Let the cost of 720 square inches be x.

1 square inch = (1/144) dollars

720 square inches = x dollars

We can from a mathematical relationship simply by cross multiplying

1 × x = 720 × (1/144)

x = 5 dollars.

Hence, the amount that Diana's sister would buy the remaining 720 square inches piece of cloth = $5

Hope this Helps!!!

For the guess and check method, we would still need to first find the cost of 1 square inch of material which we obtained to be (1/144) dollars per square inch of cloth.

We would also still need to calculate the total area removed from the cloth, which we calculated to be 1008 square inches.

But now, we will now use the cost of 1 square inch, to calculate the cost of the pieces that have been removed from the cloth.

1008 × (1/144) = 7 dollars.

We can now guess how many dollars will top up the 7 dollars so that it gives the original 12 dollars that the cloth was bought.

After a series of guess, we will end up to get that it is (7 + 5) that is equal to 12 dollars.

So, guess and check would give us 5 dollars too as the answer.

    A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed. We find it easier to graph linear equations when we consider intercepts.

    Where a line on a graph crosses the x-axis is known as the x-intercept. At that time, the y coordinate's value is zero. For instance, the x-intercept would be where the equation y = x + 5 crosses the x-axis at the location (-5, 0).

      We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

        This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

       If you can locate the x-intercept of a linear function, finding the zero should be simple. The x-coordinate of the x-intercept is zero.

Summary

         Consider the numbers as being on the x-axis to help you remember this. The positive values are located to the right of the origin, and the negative values are located to the left of the origin.

To Learn more About X-Intercept, Refer:

https://brainly.com/question/17932786

#SPJ13

y=-13

Step-by-step explanation:

2y+6=y-7

2y+6-6=y-7-6

2y=y-13

2y-y=y-13-y

y=-13

The value after solving the given expression will be equal to -13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given expression in the question is,

2y + 6 = y - 7

Rearrange the equation,

2y - y = -7 - 6

y = -13

Therefore, the obtained value for y will be -13.

To know more about expression:

https://brainly.com/question/14083225

#SPJ2

We must solve the following quadratic equation by completing squares:

1) First, we rewrite the equation in the following way:

2) We sum to both sides of the equation (5/2)², get:

3) Expressing the first term as a square, we have:

4) Passing the +6 at the left as -6 at the right:

5) By taking the square root on both sides, we get two solutions:

1) Re-writing the equation:

2) Summing (5/2)² on both sides:

3) Expressing the first term as a square:

4) Simplifying:

5) Taking the square root:

A motion sensor, sometimes known as a motion detector, is a piece of technology that use a sensor to find nearby individuals or objects. Any security system needs motion sensors as a crucial part. A sensor will alert your security system and, with newer systems, your cell phone when it senses motion.

How does a motion sensor function?

Active ultrasonic motion detectors emit ultrasonic sound waves, which bounce off surrounding objects and return to the source of emission. The sensor initiates and completes the required action, whether it be turning on a light or sounding an alert, when a moving object interferes with the waves.

To learn more about Motion detector refer to:

https://brainly.com/question/28027581

#SPJ13

Answer:

16c²+ 32 cd +16d²

Step-by-step explanation:

area of rectangle is side²

(4c+4d)²

16c²+ 16cd+16cd+16d²

16c²+32cr+16d²

Answer:

Step-by-step explanation:

To understand the situations we must do a Venn diagram:

The total of people asked is 3400. Then,

a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:

b) For people who did not enjoy chocolate, vanilla or mint:

The graph shows the profit (measured in thousands of dollars) on the y-axis and the price per bike (measured in hundreds of dollars) on the x-axis, the parabola describes the relationship between both variables.

As you can see the parabola opens downwards, which means that the maximum value of the relationship is determined by the vertex of the curve.

The coordinates of the vertex indicate the value of the bikes (x-coordinate) that allows the company to make the maximum profit (y-coordinate)

Looking at the graph the coordinates for the vertex are, approximately, (6, 160)

x-coordinate: 6 hundreds of dollars

y-coordinate 160 thousands of dollars

The maximum profit will be $160,000, and they will reach it when the bicycles cost $600

Answer:

k = 4

Explanation:

1) The triangles in example 1 are similar triangles but differs in size

We are to calculate the scale factor k

Using the formula

Scale factor k = size of the larger triangle/size of the smaller trinagle

Since they are similar triangles;

k = DF/AB

Given

DF = 48

AB = 12

Substitute the given values into the expression for k above to have;

k = 48/12

k = 4

Hence the scale factor from triangle ABC to DEF is 4

The range of the number of hours spent watching tv for the 5th grade is 6.

The range of the number of hours spent watching tv for the 7th grade is 7.

Th ratio of variation is 6/7.

A dot plot is a graph used to represent a dataset using dots. A dot plot is made up of a number line and dots.  The dots in the dot plot represent the frequency of the data.

Range is a measure used to measure the variation of a dataset. Range is the difference between the largest number in a data and the smallest number in the dataset.

Range = largest number - smallest number

Range of the 5th grade students = 8 - 1 = 6

Range of the 7th grade students = 7 - 0 = 7

Ratio of variation of 5th grade to 7th grade = range of 5th grade / range of 7th grade

6 / 7

To learn more about dot plots, please check: brainly.com/question/21862696

#SPJ1

The amount that needs to be deposited to have a saving of $50,000 in 30 years at the given interest rate is $8,302.10.

The compound interest formula is expressed as;

P = A / (1 + r/n)^nt

Where P is principal, A is amount accrued, r is interest rate is compound period and t is time elapsed.

Given the data in the question;

First, convert rate from percent to decimal.

Rate r = 6%

Rate r = 6/100

Rate r = 0.06 per year

To determine the principal, plug the given values into the formula above and solve or P

P = A / (1 + r/n)^nt

P = $50,000 / (1 + 0.06/12)^( 12 × 30 )

P = $50,000 / (1 + 0.05)³⁶⁰

P = $50,000 / (1.05)³⁶⁰

P = $8,302.10

Therefore, the principal investment is $8,302.10.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

Part a

we have the expression

Multiply the fraction by 100/100 to remove decimal numbers

Simplify the fraction

Part b

we have the expression

Multiply the expression by 1,000/1,000 to remove decimal numbers

so

Simplify

Part c

to determine the quotients without performing long division

step 1

Convert the decimal numbers of the quotient to integer numbers, multiplying the numerator and denominator by a fraction of the form 10/10, 100/100,1000/1000, etc

step 2

Simplify the fraction in the simplest form

65.03x + 74757 is Marginal profit function .

What is profit?

P(x) = 143 - 0.03x

C(x) = 75000 + 65x

C(x) - P(x) = 75000 + 65x - ( 143 - 0.03x)

                = 75000 + 65x - 143 + 0.03x

                 = 65.03x + 74757

Learn more about profit

brainly.com/question/14281684

#SPJ13

    In other terms, imaginary numbers are those that have no known value and are represented by the square root of negative numbers. Most of the time, it is expressed as real values multiplied by an arbitrary unit called "i."

    Answer and justification Therefore, a quadratic equation with rational coefficients cannot have both a real and an imaginary root.

How can you find complex roots using Descartes' Rule of Signs?

    We may determine the total number of positive + negative real roots using the rule of signs. We may get the potential number of complex roots by deducting this total from the polynomial's degree.

    An imaginary integer is referred to as an imaginary zero if it produces a zero output when plugged into a polynomial (or a complex zero).

   Complex numbers are those that are expressed as a+b, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1).

To Learn more About imaginary numbers, Refer:

https://brainly.com/question/10662770

#SPJ13

Let x be the number of gallons Mrs M can purchase;

Given information:

Price per gallon: $3.50

Mrs M. Total budget: $10.50

Solving for the number of gallons Mrs M can purchase:

ANSWER

a. g>0 and g<3

Answer:

2346 dl sheep

Step-by-step explanation:

all well STrxrcgvw'#'zuucrb if ivAr4w3ws4

Solution

Step 1

Write the equation

Step 2

Apply the addition equality theorem

Step 3

Use the division equality theorem:

Final answer

x = 5

Answer:

He should use a 375% zoom to create a 30-inch wide poster.

Step-by-step explanation:

30/8 = 3.75, and 8*3.75=30. So 375%.

Mark as brainliest please.