A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60

Answer:

Y= x+12

Step-by-step explanation:

see photo for explanation

Answer:

m = \(\frac{9}{5}\) , b = \(\frac{11}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (- 4, - 5 )

m = \(\frac{-5-4}{-4-1}\) = \(\frac{-9}{-5}\) = \(\frac{9}{5}\) , then

y = \(\frac{9}{5}\) x + b ← is the partial equation

to find b substitute either of the 2 points into the partial equation

using (1, 4 )

4 = \(\frac{9}{5}\) (1) + b = \(\frac{9}{5}\) + b ( subtract \(\frac{9}{5}\) from both sides )

4 - \(\frac{9}{5}\) = b

\(\frac{20}{5}\) - \(\frac{9}{5}\) = b , that is

b = \(\frac{11}{5}\)

y = \(\frac{9}{5}\) x + \(\frac{11}{5}\) ← equation of line in slope- intercept form

with slope m = \(\frac{9}{5}\) and y- intercept b = \(\frac{11}{5}\)

Answer:

2,801.6 or rounded as 2,802

Answer:

$2081.666667 ≈ $2081.67 per month

Step-by-step explanation:

$24,980.00 ÷ 12 = $2081.666667 ≈ $2081.67

Step-by-step explanation:

First,You should know that a full circle has a 360° turn.

So,that infers that we should add 12 and 25 and 90(from the right angle) degrees together witch gives use 127.Then we subtract 360 by 127 witch gives us the answer 233°.

Thank you.

Answer:

i think 80 but im not sure !!

Answer:

90°

Step-by-step explanation:

180 - 39 - 23 - 28 = 90

180 being put so you just have to take away the rest of the angles to find the missing one.

Answer:

xxyy2578

Step-by-step explanation:

Answer:

Hope this answer helps you !

Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

So first we can assume x= 1 bc there is no number for x

Step-by-step explanation:

So we Evaluate for x=1

1+|2−1|−5

1+|2−1|−5

=−3

Evaluate for x=1

So x+|x-5|+9

1+|1−5|+9

1+|1−5|+9

=14

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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\( \boxed { \mathcal{ \green{AE = PX}}}\)

Since, the diagonals of a rectangle are equal..

\( \pink \implies \purple { \sf8m -13 = 5m + 20 }\)

\( \pink \implies \purple { \sf8m -13 - 5x = 20 }\)

\( \pink \implies \purple { \sf8m - 5m = 20 + 13 }\)

\( \pink \implies \purple { \sf3m = 33 }\)

\( \boxed{ \mathfrak { \red{m = 11}}}\)

\( \blue \longmapsto \orange{ \tt \: AE = 8m - 13}\)

\( \blue \longmapsto \orange{ \tt \: AE = 8(11) - 13}\)

\( \blue \longmapsto \orange{ \tt \: AE = 88- 13}\)

\( \boxed{ \mathfrak{ \red{AE = 75 \: cm}}}\)

\( \blue \longmapsto \orange{ \tt \:PX = 5m+ 20}\)

\( \blue \longmapsto \orange{ \tt \:PX = 5(11)+ 20}\)

\( \blue \longmapsto \orange{ \tt \:PX = 55+ 20}\)

\( \boxed{ \mathfrak{ \red{ PX= 75 \: cm}}}\)

\( \boxed{ \mathfrak { \red{m = 11}}}\)

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Answer:

87.92in.2

Step-by-step explanation:

The person above me is right. :p

Answer:

B is The correct answer

Answer: the answer is (2,5)

Step-by-step explanation:

Answer:

15.49

Step-by-step explanation:

The pythagorean theorem

4^2 + B^2 = 16^2

16 + B^2 = 256

16 + 240 = 265

Sqrt240 = 15.49

Answer:

\(x = 15.49\)

Step-by-step explanation:

To solve this problem is necessary to use the pythagorean theorem:

According to this diagram, the length of the ladder would be the hypotenuse and the distance between the base and the wall would be one of the legs of the triangle, to find the other leg, use the pythagorean theorem:

\(x = \sqrt{ {16}^{2} - {4}^{2} } \\ x = \sqrt{240} \\ x = 15.49\)

The ladder hits the wall at 15:49 feet.

Answer: 5,184 pages

Step-by-step explanation:

Equation: 8,421 - 3,237 = p  or  p + 3,237 = 8,421

Knowing that Brooke read 3,237 pages in the fourth grade, the remainder is going to be the amount of pages she read in the fifth grade.

With the information given and the variable (p) we can use this to create an equation and find the answer.

Hope this helps

[7th Grader]

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

34 people. (extremely sorry if this is wrong! please tell me if it is.)

Step-by-step explanation:

197 people were in the survey. First we can subtract 57 from 197 because 57 people dont like cats or dogs.

197-57 = 140

and to find the number of people that chose cats but not dogs, we subtract 106 from 140 which leaves us with 34 people.

From the given expression in our example we have say

y = d-6d-3dd−6d−3d,

the equivalent expression would be  y = -14-3dd

We can see two different terms

the "d" terms and the "dd" terms

Let us collect like terms

we have

y= d-6d-6d-3d-3dd

y = d-12d-3d-3dd

y= d-15d-3dd

y = -14-3dd

Hence the equivalent expression is y = -14-3dd

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Answer:

-8d

guessed and it was right :P

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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Answer:  D.  \(g(x) = (x-b)^2\)

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from \(f(x) = x^2\) to \(g(x) = (x-b)^2\). You can think of it as \(g(x) = f(x-b) = (x-b)^2\)

Answer: A, 15%

Step-by-step explanation:

3780 - 3213 = 567

567 / 3780 = 0.15

0.15 = 15%

Answer:

each student gets 3 drinks, make sure the lemon and lime are in different groupings

Step-by-step explanation:

The number of ways to distribute will be 1980.

What is permutation?

The permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.

We have,

10 orange drinks

1 lemon drink, and

1 lime drink

And,

Four thirsty students,

Now,

According to the question,

We have to distribute that each student gets at least one drink, and the lemon and lime drinks go to different students.

So,

Using the permutation formula,

Permutation (ⁿPr) = n!/(n-r)!

⁴P₂ = 4! / (4-2)! = (4 × 3 × 2!) / 2! = 4 × 3 = 12

Now,

Using  the Combination formula,

Combination (ⁿCr) = n! / [r! (n-r)!]

So,

(ⁿCr) = n! / [r! (n-r)!]

¹¹C₃ = 11! / [ 3!(11-3)!] = [11 × 10 × 9 × 8!] / [ 3 × 2 × 1 × 8!]

¹¹C₃ = 11 × 5 × 3 = 165

So,

The number of ways to distribute = 12  × 165 = 1980

Hence we can say that he number of ways to distribute will be 1980.

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Answer:

the number of students that enrolled after 15 year is 317

Step-by-step explanation:

The computation of the number of students that enrolled after 15 year is shown below;

We know that

Future value = Present value × (1 +rate of interest)^number of years

 = 100 × (1+8%)^15

= 100 × 1.08^15

= 317

Hence, the  number of students that enrolled after 15 year is 317

The same should be considered and relevant