You are about to take a major assessment, and each question is one two types. Multiple-choice questions are worth 2 points each, and short-response questions are worth 4 points each. The assessment is worth 100 total points. Let x represent the number of multiple-choice questions, and let y represent the number of short-response questions.

Answers

Answer 1

2X + 4Y = 100 is the equation.

What is the equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Let's assume that X is the quantity of multiple-choice questions and Y is the quantity of short-answer questions.

Given that the short-answer questions are worth four points and the multiple-choice questions are for two, the equation is 2X + 4Y = 100.

Thus the equation for 2 points each, and short-response questions are worth 4 points each. The assessment is worth 100 total points where x represent the number of multiple-choice questions, and let y represent the number of short-response questions.

2X + 4Y = 100.

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Related Questions

Using 3.14 for n, what is the volume, to the nearest tenth, of a cone that has a height and of 16 feet and a base with radius 5 feet

Answers

Answer: 418.7

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/geometry-solids/cone.php

Name the quadrilateral that has a right angle and four congruent sides.
A. Parallelogram
B. Rectangle
C. Rhombus
D. Square

Answers

Answer:

D. Square

It is the only one with all right angles and sides the same length

Someone help please !!

Answers

Answer:

what grade is this?

44% of what number is 11?

Answers

25

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How many ten thousand are there in 50,000​

Answers

Answer:

5 ten thousands

Step-by-step explanation:

Ten thousands: 10,000

So...

50,000/10,000=5

5 ten thousands

5 since there are 5 digits I hope this helps!

Why is it easier to add fractions when the denominators are the same?​

Answers

Answer:

so you wont have to find the LCD (least common denomonatoir )

Step-by-step explanation:

In PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest degree.

Answers

Answer:

<P = 56 degrees

Step-by-step explanation:

Given the following

m<R = 90 degrees

QR = 61feet = Adjacent

RP = 90 feet= Opposite

Required

tan<P = opp/adj

Tan<P = 90/61

<P = arc tan (90/61)

<P = arctan 1.4754

<P = 55.9

<P = 56 degrees to the nearest degree

Find the 53rd term of the arithmetic sequence -12, -1, 10

Answers

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer:

560

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

560

Hope this helps you

21 = -3c + 7 -5c -2

i need help with this multi step equation question​

Answers

Answer:

c=-2

Step-by-step explanation:

Subtracting fractions with unlike denominators

Answers

your awnser will be 1 3/4

Answer:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

LCD(9/4, 5/10) = 20

[tex](\frac{9}{4} * \frac{5}{5} ) - (\frac{5}{10} * \frac{2}{2} ) = ?[/tex]

Complete the multiplication and the equation becomes

[tex]\frac{45}{20} - \frac{10}{20}[/tex]

The two fractions now have like denominators so you can subtract the numerators.

Then:

[tex]\frac{45 - 10}{20} = \frac{35}{20}[/tex]

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 20 using

GCF(35,20) = 5

[tex]\frac{35 / 5 }{20 / 5} = \frac{7}{4}[/tex]

The fraction

[tex]\frac{7}{4}[/tex]

is the same as

7 ÷ 4

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Apply the fractions formula for subtraction, to

[tex]\frac{9}{4} - \frac{5}{10}[/tex]

and solve

[tex]\frac{(9 * 10)- (5* 4) }{4 * 10}[/tex]

[tex]= \frac{90-20}{40}[/tex]

[tex]= \frac{70}{40}[/tex]

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,40) = 10

[tex]\frac{70/ 10 }{40 / 10} = \frac{7}{4}[/tex]

Convert to a mixed number using

long division for 7 ÷ 4 = 1R3, so

[tex]\frac{7}{4} = 1\frac{3}{4}[/tex]

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Plz help a person in need :)

Answers

Step-by-step explanation:

You have 90° angle and you will get x if you:

x=90°-25°

x=65°

answer:

x= 60 degrees

Step-by-step explanation:

90-25= 65

Looke
ook at the inequality below.
-84-2v <-46
Which of the following possible
values for v would make this
inequality truc?
A -13, -5,0,3,4
B -19, -6, -1,3,6
C -46, -23, 0, 23, 46
D-60, -30, -10, 5, 25

Answers

The answers number 2

A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

The question is incomplete:

A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer:

She sold 4.86 kg of pears at the farmer's market.

Step-by-step explanation:

With information provided, you know the amount of kilograms of  apples and pears sold and that 2/5 of this weight is apples, so you can find first the number of kilograms of apples sold by multipying 2/5 for 8.1 kilograms:

2/5*8.1=3.24 kg

Now, you can find the kilograms of pears that the farmer sold by subtracting the kilograms of apples sold from the total amount of apples and pears sold:

8.1-3.24=4.86 kg

According to this, the answer is that she sold 4.86 kg of pears at the farmer's market.

please help me i really need the answer to this question
(06.02)


A scatter plot and a possible line of best fit is shown:


A scatter plot is shown. Data points are located at 2 and 3, 4 and 3, 4 and 5, 6 and 5, 6 and 6, 8 and 7. A line passes through 1 and 1 connecting to 8 and 7.

Is the line of best fit accurate for the data shown? (4 points)


Group of answer choices


Yes, because it touches the y-axis


Yes, because it passes through the center of the data points


No, because the line does not touch any points


No, because the line should touch every point

Answers

Answer:

B. Yes, because it passes through the center of the data points

Step-by-step explanation:

Refer to attached.

The given points are plotted and the line of best fit is added:

y = 6/7x + 1/7

From the graph It is clear that the line passes through the center of the data points.

Correct choice is B

Answer:

Step-by-step explanation:

Answer B!

6) Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

Answers

Answer:

Step-by-step explanation:

Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

Factor completely:
3x2 - 75

Answers

Answer:

3(x + 5)(x − 5)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula:

a² − b² = (a + b)

(a − b)  

where  a = x and  b = 5.

3(x + 5)(x − 5)

Or

Search it up for a more detailed answer through Goo gle.

At a local toy store, extra-large stuffed bears had a price of $40 each.
In December, the price was raised by 30%. In January, the price was
lowered by50%. What is the price of an extra-large toy stuffed bear now?

Answers

Answer:

26

Step-by-step explanation:

40x30%=12

40+12=52

52x50%=26

At a local toy store, extra-large stuffed bears had a price of $40 each.

The price of an extra-large toy stuffed bear is $26.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At a local toy store, extra-large stuffed bears had a price of $40 each.

In December, the price was raised by 30%.

40 x 30%

= 1200/100

= 12

40 + 12 = 52

In January, the price was lowered by 50%.

52 x 50%

=2600/100

= 26

Thus, the price of an extra-large toy stuffed bear is $26.

Learn more about percentages;

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please help me please will give brainliest ​

Answers

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

the cost of a customer smartphone bill can be modeled by the equation c=10g+50

Answers

Answer:

c=10(g+5)

Step-by-step explanation:

Given that,

The cost of customer smartphone bill is given by the equation as follows :

c=10g+50

Where

g is the number of gigabits of data the customer per month

We need to factor this cost polynomial

The common between 10 and 50 is 10

Taking 10 common. So,

c=10(g+5)

Hence, the required factor is equal to c=10(g+5).

Which greatest integer function matches the graph?

A) f (x) = -[x] + 1

B) f(x) = [x] + 1

C) f(x) = [x] - 1

D) f(x) = [x]

Answers

The answer is b, f(x) = (x) + 1.




twenty and thirty-six thousandths in standards form

Answers

Answer:

twenty and thirty-six thousandths in standards form is 20.036

Answer:

20.006

Step-by-step explanation:

I think this is what you need but not a lot of info. sorry if it's not

What is 7.37 as a fraction

Answers

Answer:

737/100

Step-by-step explanation:

PLS HELP! I WILL GIVE SOOOOO MANY POINTTSSSS and a brainly!!!

Answers

Answer:

5

Step-by-step explanation:

You have to remember :

125

45

16

What is the selling price per widget as a function of the
number of widgets produced, and what should the
selling price be if 15 widgets are produced?

Answers

Answer:

1240 widgets

Step-by-step explanation:

The value of the function at 870, the local maximum, is

= -0.02(870)2 + 34.80(870) - 4700

= -0.02(756900) + 30276 - 4700

=  -15138 + 25576

= 10438

 

So the vertex is (870, 10438)

 

The cost t the company to produce 870 widgets is  

C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224

 

So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price.

(10438 + 9224)/870 = 19662/870 = $22.60

 

P(x) = 7700

- 0.02x2 + 34.80x - 4700 = 7700

-0.02x2 + 34.80x -12400 = 0

 

x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02)

x = [-34.80 ± √(1211.04 - 992)]/(-0.04)

x = (-34.80 ± √219.04)/(-0.04)

x = (-34.80 ± 14.8)/(-0.04)

x = 870 ± 370

so, $7700 in profits will be earned at either 500 widgets or 1240 widgets

Applying Math
4. Explain Look at the
problem about the jogger.
Why does (3 m/s)
become (9 m/s2)?

Answers

the answer is because 3 squared =9

9. The gradient of the curve y=kx⁴ at the point x = 2 is 128. Find the value of k.​

Answers

Answer:

k = 4

Step-by-step explanation:

Here, we want to find the value of k

Mathematically, the gradient of a curve is same as the first derivative

so the first derivative here is;

dy/dx = 4kx^3

Now, the value of x here is 2 while the value of y is 128

Substituting these values;

128 = 4k(2)^3

128 = 32k

k = 128/32

k = 4

Name the two angles adjacent to 21 below:
<1
<4
<2
<3

Answers

Answer:

∠4 & ∠2

Step-by-step explanation:

adjacent angles:

HELP ASAP THIS IS DUE IN A LIVE CLASS DONT GUESS ITS QUESTION 4

Answers

Answer:

2 answers

Step-by-step explanation:

factor: 2π(hr+π)

evaluate: 2π(hr+π)

hope that helps

Directions: Find the complemen
ANGLE
EXAMPLE: 54°
1. 63°
2. 87°
3. 45°
4. 72°
5. 5°​

Answers

Given:

The angles are:

Example [tex]54^\circ[/tex]

1. [tex]63^\circ[/tex]

2. [tex]87^\circ[/tex]

3. [tex]45^\circ[/tex]

4. [tex]72^\circ[/tex]

5. [tex]5^\circ[/tex]

To find:

The complimentary angle of the given angles.

Solution:

If two angles are complimentary, then their sum is 90 degrees.

Example: Let x be the complimentary angle of [tex]54^\circ[/tex], then

[tex]x+54^\circ=90^\circ[/tex]

[tex]x=90^\circ -54^\circ[/tex]

[tex]x=36^\circ[/tex]

Similarly,

1. The complimentary angle of [tex]63^\circ[/tex] is:

[tex]90^\circ -63^\circ=27^\circ[/tex]

2. The complimentary angle of [tex]87^\circ[/tex] is:

[tex]90^\circ -87^\circ=3^\circ[/tex]

3. The complimentary angle of [tex]45^\circ[/tex] is:

[tex]90^\circ -45^\circ=45^\circ[/tex]

4. The complimentary angle of [tex]72^\circ[/tex] is:

[tex]90^\circ -72^\circ=18^\circ[/tex]

5. The complimentary angle of [tex]5^\circ[/tex] is:

[tex]90^\circ -5^\circ=85^\circ[/tex]

Therefore, the complimentary angles of [tex]54^\circ, 63^\circ, 87^\circ, 45^\circ, 72^\circ, 5^\circ[/tex] are [tex]36^\circ, 27^\circ, 3^\circ, 45^\circ, 18^\circ, 85^\circ[/tex] respectively.

2x + 46 + 3x - 6
I forgot how to do math

Answers

Answer: hope this helps

Step-by-step explanation:

5 (x + 8)

Root:

x = -8

Derivative:

d/dx(2 x + 46 + 3 x - 6) = 5

Indefinite integral:

integral(40 + 5 x) dx = (5 x^2)/2 + 40 x + constant

Answer:

5x-40=0

5x=40

x=40/5

x=8

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