The school store sells packs of 12 pens for $2.40.

Select the three unit rates that describe this sale.


There is more than one correct answer

$0.20 per pen


$2.40 per pack of pens


5 pens per dollar


120 pens per $24

3×6

(2×3)×3

108÷6

(6×7) - (2×12)

Answer:

9-0+1-1×2

Step-by-step explanation:

The only zero of the function f(x) = x^2 - 8x + 16 is x = 4.

The zeros of a function, f(x), represent the values of x that make the function equal to zero. To find the zeros of the given function, f(x) = x^2 - 8x + 16, we need to solve the equation f(x) = 0.

Let's set the equation equal to zero and solve for x:

x^2 - 8x + 16 = 0

To solve this quadratic equation, we can use factoring or the quadratic formula. In this case, the equation can be factored as:

(x - 4)(x - 4) = 0

This means that the equation is equivalent to (x - 4)^2 = 0.

To find the zeros, we set (x - 4)^2 = 0 and solve for x:

(x - 4) = 0

x = 4

So, the only zero of the function f(x) = x^2 - 8x + 16 is x = 4.

In other words, the graph of the function f(x) = x^2 - 8x + 16 intersects the x-axis at the point (4, 0).

Answer:

113

Step-by-step explanation:

area of a trapezoid: 1/2 (A+B)h

A is base 1 and B is base 2; h is height

so we have two trapezoids; we just need to add them together

trapezoid 1: ((7+14) x 6)/2

21 x 6 = 126/2 = 63

trapezoid 2: ((10+10) x 5)/2

20 x 5 = 100/2 = 50

50 + 63 = 113

Answer:

x=1

Step-by-step explanation:

Take the root of both sides and solve

Answer: x=1, x=-1

7x^2+6-6=13-6

7x^2/7=7/7

x^2=1

x=square root(-1)                  square root(1)

negative goes outside

the square root

         x=-1                          x=1

Answer: [tex]profit=5x-260[/tex]

Step-by-step explanation:

To solve this exercise you must subtract the polynomials given in the problem.

Therefore, if:

[tex]revenue=3x^2+4x-60\\cost=3x^2-x+200[/tex]

Then, the profit is the shown below:

[tex]profit=revenue-cost\\profit=3x^2+4x-60-(3x^2-x+200)\\profit=3x^2+4x-60-3x^2+x-200[/tex]

Add the like terms.

Therefore, you obtain:

[tex]profit=5x-260[/tex]

Answer:

[tex]5x-260[/tex]      

Step-by-step explanation:

Given :

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial [tex]3x^2 + 4x -60[/tex]

The cost, in dollars, of producing the toy cars can be modeled by [tex]3x^2 -x + 200.[/tex]

To Find: Profit function

Solution:

Revenue = [tex]3x^2 + 4x -60[/tex]

Cost = tex]3x^2 -x + 200[/tex]

Now we are supposed to find the profit

So, Profit = Revenue - Cost

[tex]Profit=3x^2 + 4x -60-(3x^2 -x + 200)[/tex]      

[tex]Profit=3x^2 + 4x -60-3x^2 +x - 200[/tex]      

[tex]Profit=5x-260[/tex]      

Hence The expression represents the profit is [tex]5x-260[/tex]      

Answer:

C

Step-by-step explanation:

When cross multiplied all numbers must be multiples of each others.

Answer:

Step-by-step explanation:

C would be your answer !

(Iv'e done this before.)

Final answer:

To construct a parallel line through a point not on the given line, it is essential to know how to construct corresponding angles, which are equal for parallel lines created by a transversal.

Explanation:

To construct a line parallel to a given line m through a point not on line m, you need to know how to construct corresponding angles which are equal when lines are parallel. This process typically involves using a compass and straightedge to replicate the angle between the given line and a transversal at the point not on line m.

First, you would create a transversal through the point not on line m. Then you would measure the angle that the transversal makes with line m. Using the compass, you would reproduce this angle on the transversal at the point not on line m, ensuring that the angles corresponding to each other across the two lines are equal. This ensures that the new line you're constructing is indeed parallel to line m.

Answer:

The distance between the two is:

d=1600km

Hope this helps! :)

Step-by-step explanation:

so, we know A and B left at the same time, one from city A and the other from city B, they're both moving towards each other, and they met in 5hrs.

now, by the time they met, car A has been running for 5hrs already,

and car B has also been running for 5hrs, so the time for both is the same, when they met, each had been running for 5hrs

if B has a speed rate of "r", then A's speed rate is " r - 10"

now, the next to last paragraph

"If the first automobile had left city A 4 1/2 hours earlier than the other automobile left city B, then the two would have met 150 km away from B."

IF, a big if, but they didn't, they left at the same exact time, so that's just an IF

if A had left 4 1/2 hrs earlier, they'd had met 150km from B

so... by the time A had been running already for 4.5 hrs, car B starts off, goes off and they meet 5hrs later, when they meet, car A would have been running for 5hrs, 4.5 + .5 hrs, but car B would had been running for only half an hour when they met

that means car B met car A half an hour later from when it started, and met A 150kms away from its starting point

that means car B can cover 150km in just half an hour

that gives us a speed rate of 150/.5  

which is 300kmh

now, if car B is 300kmh, car A has r-10, or 300-10, or 290kmh

so, car A's rate is really just 290

now, let's say the total distance is AB

so, by the time car A had been running for 5hrs, it had covered a distance of "d"

by the time car B had been running for 5hrs, it had then covered the slack, or " AB - d "

Answer:

[tex]5.3\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]A=\$9,000\\ P=\$6,500\\ r=0.0625\\n=2[/tex]  

substitute in the formula above  and solve for t

[tex]9,000=6,500(1+\frac{0.0625}{2})^{2t}[/tex]  

[tex]1.38462=(1.03125)^{2t}[/tex]  

applying log both sides

[tex]log(1.38462)=(2t)log(1.03125)[/tex]  

[tex]t=log(1.38462)/2log(1.03125)=5.3\ years[/tex]  

Answer: 14.4

Step-by-step explanation:

Answer:

centre = (- 5, 7 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 5)² + (y - 7)² = 36 ← is in standard form

with h = - 5 and k = 7

centre = (- 5, 7)

Answer:

1/4

Step-by-step explanation:

So, we can create this representation of a in relation with b, since we know a is smaller than b by 1/5 of b, we can say that a is equal to 4/5 of b, right?

[tex]a = \frac{4}{5} b[/tex]

To invert the ratio, we need to isolate B, so we multiply both sides of the equation by 5/4

[tex]a * \frac{5}{4} = * \frac{5}{4} * \frac{4}{5} b = b\\ \\ b = \frac{5}{4} a[/tex]

So, we have b being 1/4 bigger than a.

Answer:

Step-by-step explanation:

(I assume it's [tex]12sin^2 x -13 sinx +3 = 0[/tex])

Start by setting [tex] sinx = y [/tex] (or whichever letter you prefer). Your equation becomes [tex] 12y^2 -13y +3 = 0[/tex] . Solving for y you get [tex]y = \frac {-(-13) \pm \sqrt{13^2 - 4*3*12} } {2*12} =\frac{ 13 \pm \sqrt{13^2-12^2}} {24} = \frac {13 \pm5 }{24}\\ y = \frac {18} {24} = \frac 34; y= \frac 8 {24} = 1/3[/tex]

But we're not done yet. Since we said  [tex] sinx = y [/tex], you need to solve both  [tex] sinx = \frac 3 4 [/tex] and  [tex] sinx = \frac 1 3 [/tex], whose solutions are the inverse sine of said values, plus any number of complete rotations.

Answer:  387.93 units

Step-by-step explanation:

You have the following information given in the problem above:

- The sales  had dropped 33% from one quarter to the next.

- The owner sold 579 units in the first quarter.

Thefore, to calculate the number of units she sold in the next quarter (which you can call x), you must can apply the following proccedure:

[tex]x=579units-(0.33)(579units)[/tex]

Then the answer is the following:

[tex]x=387.93units[/tex]

To determine the number of units sold in the next quarter, we subtract 33% of 579 (approximately 191) from 579. This results in approximately 388 units sold in the next quarter.

To solve this question, we calculate 33% of the units sold in the first quarter. 33% of 579 equals to 191.07. However, since we cannot have a fraction of a unit, we can approximate this to 191 units. Thus, in the next quarter, the music store owner sold 579 - 191 or 388 units.

This example uses a concept called percentage decrease in mathematics. A percentage decrease is the amount by which a quantity is reduced by a specified percentage.

A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". In this case, a decrease in CD sales was represented as a percentage.

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Answer:

1.2 ounces x (48 units)

=  57.6 ounces

Step-by-step explanation:

i'm not usually good at these questions but you can get a calculator that does weight multiplied by units.

so with your question it would be :

Answer: 57.6 ounces

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Let's call x the  weight in ounces of 48 packages.

2. You know that 1 package of corn chips weigh 1.2 ounces.

3. Therefore, to calculate  the weight in ounces of 48 packages, you must multiply 1.2 ounces by 48.

4. Then, you obtain that the result is:

[tex]x=(1.2ounces)(48)\\x=57.6ounces[/tex]

Answer:

C)58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

DFG = D+E

DFG = 24+34

DFG = 58

Answer:

The measure of ∠DFG is 58°

Step-by-step explanation:

To Find :Find the measure of ∠DFG.

Solution :

In ΔDEF

∠DEF + ∠∠FED = ∠DFG (Exterior angle property )

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

[tex]24^{\circ}+34^{\circ}=\angle DFG [/tex]

[tex]58^{\circ}=\angle DFG[/tex]

So, Option C is true

Hence the measure of ∠DFG is 58°

Answer:

The values of k are all real numbers greater than 3

Step-by-step explanation:

we have

[tex](\frac{k}{3})12 > 12[/tex]

Solve for k

Divide 12 by 3

[tex]4k > 12[/tex]

Divide by 4 both sides

[tex]4k/4 > 12/4[/tex]

[tex]k > 3[/tex]

The solution is the interval ------> (3,∞)

All real numbers greater than 3

Answer: The correct answers are $45.15, $247.25 and $129

Step-by-step explanation:

In order to solve the problems you need to multiply each percentage by his gross monthly pay.

$2,150 x .021 = $45.15

$2,150 x .115 = $247.25

$2,150 x .06 = $129

Answer:

The answers are that x = 8 and y = 7%

Step-by-step explanation:

To find the value of x, we need to divide 1.36 by the percentage it is of the whole (17%).

1.36/17% = 8

And now to find y, we divide 1.05 by 15

1.05/15 = 7%

Final answer:

The solutions for the percent problems presented by the student are x = 8 for the first equation, and y = 7% for the second equation.

Explanation:

The student presented two separate percent problems. To solve the first one, we need to find the value of x for which 1.36 is 17% of x. We can set up an equation using the percent formula:

Part = Percent × Whole

This gives us:

1.36 = 0.17 × x

By dividing both sides of the equation by 0.17, we get:

x = 1.36 / 0.17

x = 8

For the second problem, where 1.05 is y% of 15, we similarly set up the percent equation:

1.05 = (y/100) × 15

By dividing both sides of the equation by 15, we get:

y = (1.05 / 15) × 100

y = 7

Therefore, the solutions are x = 8 and y = 7%.

Answer:

c

Step-by-step explanation:

Since it's a rectangle, then the X will be -1 and 1, and the area is 10 square units, as now there are 6 already from 0 to AB, so to add 4 more, so the answer would be C

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ You have to look at the thing the problem gives you.

10cm is repeated two times, and that proves that the triangle is an isosceles triangle.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

The triangle with sides of 10 cm, 8 cm, and 10 cm is categorized as an isosceles triangle as it has two sides of equal length and does not obey the Pythagorean theorem.

The triangle with sides of 10 cm, 8 cm, and 10 cm can be classified as an isosceles triangle. In an isosceles triangle, two sides have the same length, in this case the sides of 10 cm. The third side can be of different length, here given as 8 cm. This triangle is not a right triangle as it does not follow the Pythagorean theorem, where the square of the hypotenuse equals the sum of squares of the other two sides (for right triangles). Thus, based on the given side lengths, the triangle can be confidently classified as isosceles.

Answer:

Negatively charged atom

Step-by-step explanation:

When an atom gains 1 or more electrons, it becomes negatively charged. I fit loses an 1 or more electrons, it becomes positively charged.

Answer:

-2

Step-by-step explanatioN

When an atom gains 1 or more electrons, it becomes negatively charged. I fit loses an 1 or more electrons, it becomes positively charged.

Answer:

Bone marrow

Step-by-step explanation:

Bone marrow is the semi-solid tissue that is found in the center of your bones. Bone marrow is the primary site of new blood cell production in all birds and mammals. Problems with your bone marrow may lead to blood disorder such as anemia, leukemia, lymphoma, and myeloma.

I hope this helped!

Answer:

bone marrow

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Anything on quadrants II and III have a X value less than 0. This includes points C, D, and J which is answer choice C.

Answer:

C

Step-by-step explanation:

The X-Axis runs horizontally from left to right. The y-axis runs up and down. X coordinates to the left of the y-axis are negative, because the origin, where the two lines intersect, is 0,0.

Answer:

3

Step-by-step explanation:

1/3  / 1/9 =

1/3 x 9 =

3

Answer:

0.3333

Step-by-step explanation:

1/9 ÷ 1/3 = 0.3333 in decimal form.

Answer:

Yes

Step-by-step explanation:

Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.

2 and 200

10 and 100

13 and 52

one thousand and one million

➷ I would say the best answer is option C. 40%. This value is an approximate but it can vary from person to person based on many factors such as age.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Muscles make up more than 25%  of a person's body mass.  So, the best answer among the choices provided is B. 25%.

Muscles are a crucial component of the human body and are responsible for various functions, including movement, stability, and heat production. While the exact percentage of muscle mass can vary from person to person depending on factors such as age, gender, and fitness level, an average adult's body is composed of roughly 40-50% muscle mass. However, since the options provided do not include this range, the closest approximation is 25%.

It's important to note that maintaining and building muscle mass is essential for overall health, as muscles play a vital role in metabolism, strength, and mobility. So ,Muscles make up more than B. 25% of a person's body mass.

For more questions on Muscles

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Answer:

[tex]\frac{x^2}{25}+\frac{y^2}{64}=1[/tex]

Step-by-step explanation:

If the ellipse has a vertical major axis of length 16, then

[tex]2a=16[/tex]

[tex]\Rightarrow a=8[/tex]

If the ellipse has the length of the minor axis to be 10, then;

[tex]2b=10[/tex]

[tex]\Rightarrow b=5[/tex]

The equation of the ellipse is given by;

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2}=1[/tex]

Thus;

[tex]\frac{x^2}{5^2}+\frac{y^2}{8^2}=1[/tex]

[tex]\frac{x^2}{25}+\frac{y^2}{64}=1[/tex]

Answer: A

Step-by-step explanation:

Answer:  a) 8%

               b) 34%

               c) 12%

Step-by-step explanation:

[tex]a)\quad \dfrac{January\ Clothing}{January\ Payments}=\dfrac{234.75}{2800.00}=0.083\implies \large\boxed{8\%}\\\\\\b)\quad \dfrac{January\ Housing}{January\ Payments}=\dfrac{945.20}{2800.00}=0.337\implies \large\boxed{34\%}\\\\\\c)\quad \dfrac{January\ Transportation}{January\ Payments}=\dfrac{347.46}{2800.00}=0.124\implies \large\boxed{12\%}[/tex]