A school sold small and large boxes of fruit for a fundraiser. One student sold 5 small boxes and 13 large boxes for $232. Another student sold 12 small boxes and 7 large boxes for $218. Their sales can be represented in two equations where x represents the price of the small boxes and y represents the price of the large boxes. Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? Check all that apply.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.
The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.

Answer:

The inverse function is a) h(x) = 1/2x - 1/2

Step-by-step explanation:

To find the inverse of any function, start by switching the x and f(x) values.

f(x) = 2x + 1

x = 2f(x) + 1

Now solve for the new f(x). The result will be your inverse function.

x = 2f(x) + 1

x - 1 = 2f(x)

(x - 1)/2 = f(x)

h(x) = 1/2x - 1/2

The inverse of the function f(x)=2x+1 is found by switching x and y in the function to create a new equation, rearranging that equation to solve for y, resulting in the inverse f^-1(x)=(x-1)/2.

To find the inverse of the function f(x)=2x+1, you first switch the roles of x and y in the function.

So, the inverse of the function is f^-1(x)=(x-1)/2.

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Answer:

2929 feet away from the door

Step-by-step explanation:

Hello there!

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In this problem, it says the more it advertises, the more it sells. In this case then, C. Graph Z, would be your answer since it shows the increase of both

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I hope I helped

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Answer:

The correct answer option is C. Graph Z.

Step-by-step explanation:

We are given that a cereal company finds that the more it spends on advertising, the more boxes of cereal it sells.

It means that the advertising is directly proportional to the number of boxes of cereal sold.

Therefore, the sales of the cereal company can be represented by graph Z where the value of y increases as the value of x increases.

Answer:

C

Step-by-step explanation:

Since it is greater than or equal to, the graph line is a solid line.

Then, since we know that it is greater than, we know that we can shade above the graph line.

To check this, all you have to do is choose a random point in the shaded region and plug it in the equation. If it checks out, it is correct.

Answer:

Graph represented by option C is the correct choice.

Step-by-step explanation:

We are asked to graph an inequality [tex]y\geq2x-3[/tex].

The boundary line of our given inequality will be a solid line as we have greater than or equal to [tex]\geq[/tex] sign.

The boundary line of our given inequality would be [tex]y=2x-3[/tex].

Now, we will test point (0,0) to shade in the correct region as:

[tex]0\geq2(0)-3[/tex]

[tex]0\geq0-3[/tex]

[tex]0\geq-3[/tex]

Since the point (0,0) is a solution for our given inequality, therefore, the shaded area of our inequality will include point (0,0).

Please find the attachment.

Answer:

Astronomers

Step-by-step explanation:

Answer:

astronomers

Step-by-step explanation:

Answer:

That's right!

Step-by-step explanation:

All of the points are in the right places! :P

Answer:

All four points are in the right place.

Step-by-step explanation:

Here's what you need to check.

The coordinate of each point is a set of two number in a round bracket.

Taking point A (9, 7) as an example.

Repeat these steps for the rest of the four points. See if every single point is in their place.

Answer:

8 square inches

Step-by-step explanation:

The area is the number of square inches a shape covers. To find the area of a triangle use the formula A = 1/2 b*h. Here b = 4 and h = 4.

So the area is A = 1/2 4*4 = 8 square inches  

Answer:

To calculate the monthly accrued interest on a loan or investment, you first need to determine the monthly interest rate by dividing the annual interest rate by 12. Next, divide this amount by 100 to convert from a percentage to a decimal. For example, 1% becomes 0.01.

Step-by-step explanation:

Answer:

-48x-96

Step-by-step explanation:

Split the angle using the sum and difference formulas and simplify.

Answer:

[tex]p(x)=\sqrt[3]{2-x}[/tex]

Step-by-step explanation:

we know that

The parent function of the graph is equal to

[tex]f(x)=\sqrt[3]{-x}[/tex]

The rule of the translation is equal to

[tex](x,y)-----> (x+2,y)[/tex]

The translation is 2 units to the right

so

applying the transformation

f(x)------> p(x)

The function of the graph is equal to

[tex]p(x)=\sqrt[3]{-(x-2)}[/tex]

[tex]p(x)=\sqrt[3]{2-x}[/tex]

Answer:

Step-by-step explanation:5.6 times 10.5=58.8sq miles, divide by 2 because it is half, so 29.4 is the approximate of area thing

Answer:

The answer is 29.4 miles squared.

The possible outcomes of tossing a coin 4 times with 2 or 3 heads can be represented using a tree diagram.

The possible outcomes of tossing a coin 4 times can be represented using a tree diagram. Each toss has 2 possible outcomes, either a head (H) or a tail (T). Starting with the first toss, there are 2 branches representing each possible outcome. For the second toss, each branch splits into 2 more branches representing the possible outcomes of the second toss, and so on. To find the outcomes with 2 or 3 heads, we need to count the paths on the tree diagram where there are 2 or 3 branches labeled as heads (H).

Let's label the paths as follows:

Y: HHTT
Z: HTHT
W: HTTH
X: TTHH

These are the possible outcomes with 2 or 3 heads. Therefore, the answer is option B. Z.

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Answer: -11

Step-by-step explanation:

(n+8)* -4= 12

   -8          -8

n* -4= 12

   /-4   /-4

n= -11

Based on the calculations, the unknown number (n) is equal to -11.

In this exercise, you're required to find an unknown number (n). Thus, we would translate the word problem into an algebraic expression as follows:

The sum of a number (n) and 8:

n + 8

Multiplying by -4, we have:

(n + 8) × -4 = 12

-4n - 32 = 12

-4n = 12 + 32

-4n = 44

n = -11.

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Answer:

[tex]\large\boxed{X=\sqrt{12}\ in=2\sqrt3\ in}[/tex]

Step-by-step explanation:

ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]

We have

AD = 2, CD = X, DB = 6.

Substitute:

[tex]\dfrac{2}{X}=\dfrac{X}{6}[/tex]             cross multiply

[tex]X^2=(2)(6)\\\\X^2=12\to X+\sqrt{12}[/tex]

[tex]\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3[/tex]

Answer:

Caleb arrived first 2 hours before Alyssa

Step-by-step explanation:

To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.

Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.

Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.

Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.

He arrived in 210/42 = 5 hours.

Alyssa arrived in 210/30 = 7 hours.

He arrived 2 hours before her.

Answer: her price is 70%

Step-by-step explanation:

Answer:

90 cm^2

Step-by-step explanation:

The scale factor between triangle ABC and triangle PQR is 4:6 or  2:3

The scale factor is 2/3

When relating areas, we use the scale factor squared

Area of ABC = scale factor squared * Area of PQR

40 =  (2/3) ^2 Area of PQR

40  =4/9 Area of PQR

Multiply each side by 9/4

40 *9/4 = 9/4 *4/9 * Area of PQR

90 = Area of PQR

When we work with lengths of similar figures, we multiply by the scale factor.

When we work with areas of similar figures, we have a length and a width, so we are really multiplying by the scale factor two times, or the scale factor squared.

A = l*w

A = SF (l) * SF (w)

  = SF ^2 lw

So the area of the new  figure is the scale factor squared times the area of the old figure.

A new = SF^2 A old

To get from the old figure to the new figure we multiply by 6/4 or 3/2

A new =  (3/2)^2 (40)

A new = 9/4 * 40

           = 90

Answer:

1

Step-by-step explanation:

any thing with a 0 over it is equal to 1

5*1=5 the answer is five. Hope That helped will appreciate a Brainly

Answer:

false

Step-by-step explanation:

Answer:

B 6x - 4y = 2

Step-by-step explanation:

Stand form of a linear equation is

Ax + By =C

8 - 4(x-y) = 2x+6

Distribute the -4

8 -4x +4y = 2x+6

Subtract 2x from each side

8 -4x-2x +4y = 2x-2x+6

8 -6x +4y = 6

Subtract 8 from each side

8-8-6x+4y = 6-8

-6x+4y = -2

We like to have x with a positive coefficient

Multiply by -1

6x -4y = 2

To evaluate the expression a • b for a = 5 and b = 8, you multiply the values of a and b. So, a • b = 5 • 8 = 40.

The question is asking to evaluate the expression a • b where a = 5 and b = 8. The dot (•) in the expression a • b signifies multiplication in mathematics. To evaluate this expression for a = 5 and b = 8, you simply multiply the given values of a and b. So, the calculation is 5 × 8.

Therefore, a • b = 5 • 8 = 40 when a = 5 and b = 8.

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The dot product of vectors a = 5 and b = 8 is calculated by multiplying the corresponding components of each vector and summing the results. Therefore, a • b = (5 * 8) = 40.

Evaluating the Dot Product of a and b

Given: a = 5 and b = 8

Objective: Determine the dot product of vectors a and b, denoted as a • b.

Steps:

Express the dot product formula: The dot product of two vectors a and b is defined as:

a • b = ∑(aᵢ * bᵢ)

where:

aᵢ and bᵢ represent the i-th components of vectors a and b, respectively

the summation sign (∑) indicates that the product of corresponding components is calculated for each dimension and then summed

Substitute the given values: Substituting the values of a and b into the formula:

a • b = (5 * 8)

Calculate the product: Performing the multiplication:

a • b = 40

Answer:

The dot product of vectors a and b, denoted as a • b, is equal to 40.

Answer: B) Banana

Step-by-step explanation:

Add the amount of people who voted for each fruit to get the total amount of people. 35+30+15+25+40+5 = 150.

Now, just find 10% of 150 by multiplying 150 by .10

10% of 150 is 15, 15 people that were surveyed chose banana. :)

The Banana fruit represents 10% of the fruit for the people surveyed.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

The data presented in the bar graph.

There are total 150 fruits for the people surveyed.

To find the percent:

Use the percentage formula,

10% of 150,

= 15

Therefore, the fruit is Banana.

To learn more about the percentage;

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Its dollar per square foot

The unit for the coefficient 'k' in the equation 'C= kiw', given that 'C' is the cost in dollars and 'i' and 'w' are the dimensions of the home in an area-unit such as feet or meters, should be dollars per square foot or dollars per square meter.

The question is asking to find the unit for the coefficient k in the equation 'C= kiw' where 'C' represents the cost of a single-story home, 'i' is the length of the home, and 'w' is the width of the home. In this equation, the cost 'C' is in dollars, and the length 'i' and width 'w' are likely in feet or meters (units of length).

Therefore, the coefficient 'k' must have the units that make the equation dimensionally consistent. In other words, the units of 'k' must be such that when multiplied by area ('iw' is an area), the result is cost. So, the unit for 'k' in this context would be dollars per square foot or dollars per square meter, depending on the units used for 'i' and 'w'.

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➷ Divide the total weight of sugar by the number of boxes:

23.18 / 57 = 0.406666

There would be approximately 0.407 pounds of sugar per box

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

23.18 / 57 = 0.406666

0.407 (to 3 decimal places) pounds of sugar per box

Step-by-step explanation:

80% of the number 64 is 51.2

Answer:

The number is +1

Step-by-step explanation:

we have

[tex]y=-2(x+2)^2-1[/tex]

This is the equation of a vertical parabola with vertex at point (-2,-1)

The function has no real zeros

we know that

If the number +1 is added to the equation on the right side

then

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

Is a translation one unit up

The vertex of the parabola will be the point (-2,0) and the function will have one real root

see the attached figure to better understand the problem

Answer:

1

Step-by-step explanation:

Answer:~ 967

Step-by-step explanation:

[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ r=5\\ s=\frac{25\pi }{3} \end{cases}\implies \cfrac{25\pi }{3}=5\theta \implies \cfrac{25\pi }{15}=\theta \implies \cfrac{5\pi }{3}=\theta[/tex]

Answer:

30

Step-by-step explanation:

the answer to Y/8=5 Y=40

Answer:

y=40

Step-by-step explanation: