What’s 15.61 divided by 7

Answer:

A. The car travels the same distance per unit of time because the portion shows a linear, increasing function.

Step-by-step explanation:

The portion of the graph labelled I is linear increasing function. So, the slope is constant. The slope is the the ratio of change in the quantity of y-axis to that of x-axis.

Here distance is plotted in the y-axis and time in the x-axis.

So, the slope here is Distance covered/ Time, which is nothing but the speed of the car.

Since the slope is constant, the car is travelling at a constant speed in the portion of the graph labelled I, which means, the car travels the same distance per unit of time in the portion I.

Answer:

its a hope this helps

Step-by-step explanation:

The length and width of a box is required.

The equation describing the situation is [tex]V=3W^2H[/tex]

Length of the box is 12 cm and width of the box is 4 cm.

h = The height of the box = 7 cm

V = Volume of the box = [tex]336\ \text{cm}^3[/tex]

Length of the box is three times the width.

[tex]L=3W[/tex]

Volume of a cuboidal box is given by

[tex]V=LWH\\\Rightarrow V=(3W)WH\\\Rightarrow V=3W^2H[/tex]

The equation describing the situation is [tex]V=3W^2H[/tex]

Solving the equation

[tex]W=\sqrt{\dfrac{V}{3H}}\\\Rightarrow W=\sqrt{\dfrac{336}{3\times 7}}\\\Rightarrow W=\sqrt{16}=4[/tex]

[tex]L=3W=3\times 4\\\Rightarrow L=12[/tex]

Length of the box is 12 cm and width of the box is 4 cm.

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1L = 1,000ml

Therefore

2.486L = 2.486 · 1,000ml = 2,486ml

Answer:

it would be 800 because 2.8% of 800 is 22.40 and that is your answer.

hope i helped :)

Answer:

$800.

Step-by-step explanation:

We have been given that Gene's deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. We are asked to find the amount of original deposit.

To find the original amount of deposit, we use simple interest formula:

[tex]I=Prt[/tex], where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert our given interest rate in decimal form.

[tex]2.8\%=\frac{2.8}{100}=0.028[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\$22.40=P*0.028*1[/tex]

[tex]\$22.40=P*0.028[/tex]

[tex]\frac{\$22.40}{0.028}=\frac{P*0.028}{0.028}[/tex]

[tex]\$800=P[/tex]

Therefore, the amount of original deposit was $800.

I believe you are asking for the answer choices to the lesson Perpendicular and Angle Bisectors U6 L2. Here are the answers for it:

1. B

2. C

3. A

4. C

5. C

Answer: A. (4,0)

Step-by-step explanation: It is the only ordered pairs that are on the line.

Hope this helps! :)

Answer: we need the measurements

Step-by-step explanation:

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1 quart = 32 ounces

10 x 32 = 320 ounces needed

320 ÷ 6 = 53.33  

Since he can't buy half of a container he would need to purchase 54 containers.

To fulfill a need for 10 quarts of Dr. Pepper using 6-ounce containers, Brian must buy 54 containers, after converting quarts to ounces and dividing by the container size.

Brian needs 10 quarts of Dr. Pepper. He is considering buying containers that hold 6 ounces each. To determine how many containers he needs, we must convert quarts to ounces because the volume of the drink given in two different units. There are 32 ounces in 1 quart.

Therefore, 10 quarts is equivalent to 320 ounces (10 quarts x 32 ounces/quart). Since each container holds 6 ounces, Brian needs 320 ÷ 6 containers. Dividing 320 by 6 gives approximately 53.33. Since Brian cannot buy a fraction of a container, he will need to purchase 54 containers of Dr. Pepper to meet his requirement of 10 quarts.

Answer:

4

Step-by-step explanation:

To evaluate a function with certain defined values, we must substitute the values ​​in the equation, perform the indicated operations and in this way we obtain the final value.

If j = 25  and k=5

replacing in the equation

[tex]\frac{j}{k} -0.2k = \frac{25}{5} -0.2(5)  = 5 -1 = 4[/tex]

Answer:

I don't know I don't know I don't know I don't know

Answer:

$276.26

Step-by-step explanation:

We have been given the principal amount as 250 dollars and rate of interest as 2.5%. Furthermore, we are given that interest is compounded monthly and we are required to find the future value after 4 years.

Therefore, we will use compound interest formula:

[tex]A=P(1+\frac{r}{n})^{nT}[/tex]

Where, we have

[tex]P = 250, r = 0.025, n = 12, T = 4[/tex]

Thus, upon substituting these values in the formula, we get:

[tex]A=250(1+\frac{0.025}{12})^{12\cdot 4}\\A=250(1+0.002083333)^{48}\\A=250(1.002083333)^{48}\\A=250\cdot 1.10505596A=276.26[/tex]

Therefore, she will have $276.26 in her account after 4 years.

Answer:

Option D is correct.

Money she wil have after four years, $276.26

Step-by-step explanation:

As per the statement:

Principal(P) =$ 250 , Annual interest Rate(r) = 2.5% and Time(t) = 4 years.

Also, n = 12

To find how much money will she have after 4 years.

The formula for amount is given by:

[tex]A = P(1+\frac{r}{100n})^{nt}[/tex]                   ......[1]

where

A represents  the Amount

P represents the Principal

r represents the annual rate of interest.

and t represents  the time in years.

Substitute the given values in [1] we get;

[tex]A = 250(1+\frac{2.5}{12 \cdot 100})^4\cdot 12[/tex]

[tex]A = 250(1+0.00208333333)^48[/tex]

or

[tex]A = 250(1.00208333)^48[/tex]

Simplify:

A=  $276.26

Therefore,  $276.26 money will she have after 4 years

Answer:

1) Total votes = 260

2) option (a) CANNOT be used to answer this question

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

Step-by-step explanation:

Part (A)

let all the votes = x

Violet received 156 votes which equal to 60% of all the votes

∴ 156 = 60% of x

60% = 60/100 = 0.6

∴156 = 0.6 x ⇒ x = 156/0.6 = 260 votes

Part (B) :

options (b), (c) and (d) can be used to answer this question because they will give the same result of part (A)

While option (a) CANNOT be used to answer this question.

Check the following

a. 0.6 times 156 = x   ⇒  x = 93.6

b. 156 = 0.6x              ⇒ x = 260

c. 156/0.6 = x             ⇒ x = 260

d. 156/x = 60/100      ⇒ x = 260

Answer:

Step-by-step explanation:

a) y=800x+1000=800(12)+1000

b)y=1000x              (15 months)  

Answer:

Linear model is given as

Total cost of renting = 1000 + n(800)

Total cost of renting for 6 months = $5800

Step-by-step explanation:

The linear model can be represented as follows ;

The one time fee = $1000

monthly fee = $ 800

Total cost of renting = 1000 + n(800)

n  = number of month you will rent

Total cost of renting office space for 6 months can be computed using the model.

Total cost of renting = 1000 + n(800)

where n = 6 months

Total cost of renting for 6 months = 1000 + 6(800)

Total cost of renting for 6 months = 1000 + 4800

Total cost of renting for 6 months = $5800

33/4 = 8.25 per hour.

Answer:

2/4

Step-by-step explanation:

A fraction that is equivalent to [tex]\frac{1}{2}[/tex] is [tex]\frac{14}{28}[/tex]

These fractions have the same value. Although the numerators and denominators of these fractions look different, their fractional values are the same.

Answer:

12/24

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing. The number of shaded squares is 12. While the total number of squares is 24. We write the ratio as shaded : total.

12:24 or

[tex]\frac{12}{24}[/tex] or

0.5 as a decimal.

[tex]\bf 200 > 4.50x+35\implies 165 > 4.50x\implies \cfrac{165}{4.50}>x\implies \cfrac{110}{3}>x[/tex]

which is about 36.67 > x.

Answer:

Step-by-step explanation:

The common difference of the sequence is -5

Since the difference is -5

a_n= 7+(n-1)(-5)

a_n = 7-5n+5

a_n = 12-5n

Hi there! :)

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{8-(-6)}{(-4)-2}=\frac{14}{-6}=\frac{14}{-6}[/tex]

Slope is 14/-6

Final answer is 14/-6

Hope this helps!

-Charlie

Have a nice day! :)

:D

Thanks!

Answer:

C

Step-by-step explanation:

Just took the test. Good luck

Answer:

Answer is B. $624

Step-by-step explanation:

So first off, you multiply. Amara earns $8 every hour and she works 25 hours every week. There are 4 weeks in a month so we first multiply 25 × 4 and we get 100

Now we multiply 100 × $8 and you get $800

But then it says that 22% of her money goes to taxes. So what we have to do is reduce from that total gross pay ($800). So the first thing we do is change the 22% to a decimal by moving the invisible decimal point twice to the left and it leaves us with .22

Now, we multiply $800 × .22 and we get $176. Now, do not get confused! This $176 is not the final answer! That is just the amount of money we have to take away not the money it leaves us with.

So we take away now from our total: $800 - $176 = $624

And there's your answer! I hope this helps :)

Answer:

b

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

To solve for any missing side of a triangle, simply use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2[/tex]

[tex]c^2=12^2+5^2\\c^2 = 144 +25\\\sqrt{c^2} = \sqrt{169} \\\text{The square root of 169 is 13}[/tex]

The length of the hypotenuse (C) in a right triangle given sides A=12 and B=5 can be calculated using the Pythagorean theorem. Substituting these values leads to a calculation of √169, resulting in C being 13.

The subject at hand pertains to the Pythagorean Theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (side C) is equal to the sum of the squares of the lengths of the other two sides (A and B). Hence, the formula is a² + b² = c².

Given that A=12 and B=5, we substitute these values into the Pythagorean theorem. Therefore, the calculation is C = √(12² + 5²). This simplifies to C = √(144 + 25), which further simplifies to C = √169. Thus, the length of the hypotenuse C is 13.

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Answer:

Corresponding: 1 and 5, 2 and 6, 3 and 7, 4 and 8

Alternate Exterior Angles: 1 and 8, 2 and 7

Alternate Interior Angles: 3 and 6, 4 and 5

Step-by-step explanation:

Searching up the definitions could really help you understand what kinds of angles there are.

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

Alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.

The corresponding angles are the ones at the same location at each intersection.

Answer:

Part A

(5x+4)+(6x-9)=11x-5

part (B)

(5x+4)(6x-9)

30x²-45x+24x-36

30x²-21x-36

part (c)

m[n(x)]=m(6x-9)+4=30x-45+4=30x-41

Step-by-step explanation:

Answer:

The company will break even at x=1 and x=4.

Step-by-step explanation:

The given profit function is

[tex]P(x)=-x^4-2x^3+21x^2+22x-40[/tex]

Where, x is number of commercials.

Use synthetic division or long division to find the factors of the function.

[tex]P(x)=(x-1)(x^3+3x^2-18x-40)[/tex]

[tex]P(x)=(x-1)(x+2)(x^2+x-20)[/tex]

[tex]P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)[/tex]

Equate P(x)=0, to find the break even points.

[tex]-(x - 4) (x - 1) (x + 2) (x + 5)=0[/tex]

Use zero product property and equate each factor equal to zero.

[tex]x=4,1,-2,-5[/tex]

Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.

The higher degree of the function is even and the leading coefficient is negative. So,

[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty[/tex]

[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty[/tex]

Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).

Therefore the company faces huge loss when the number of commercials increases unboundly.

The graph of the function is given below.

Hello from MrBillDoesMath!

Answer:

(x-2)/(x-5)

Discussion:

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 =  (x+3)(x-5)

So  

( x^2 + x - 6) / x^2-2x-15  =   ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)

Regards,  

MrB

(x-2)/(x-5)

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 =  (x+3)(x-5)

So  

( x^2 + x - 6) / x^2-2x-15  

= ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)

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Answer:

The total amount of possible outcomes is 12.

Step-by-step explanation:

1.) 1-h

2.) 1-t

3.) 2-h

4.) 2-t

5.) 3-h

6.) 3-t

7.) 4-h

8.) 4-t

9.) 5-h

10.) 5-t

11.) 6-h

12.) 6-t

Hope this helps!! (: