Markus scored 85, 92, 82, and 94 on the first four tests of the semester. His teacher has not yet told him his score on
his fifth test, but did tell him that his score on the fifth test is five points lower than the average (arithmetic mean) of all
five tests. Which equation could Markus use to determine the score of the fifth test, x?
4(x + 5) = 353 + x
O 5(x + 5) = 353 + x
O 4(x-5) = 353 + x
O 5(x - 5) = 353 + x

Answers

Answer 1

Answer:

b

Step-by-step explanation:

just got it right

Answer 2

Markus scored 82 on his fifth test.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

We know that Markus' score on the fifth test is 5 points lower than the average of all five tests. Let x be the score Markus got on his fifth test. Then the average score of all five tests is:

(85 + 92 + 82 + 94 + x)/5

So the equation to determine Markus' score on the fifth test is:

x = (85 + 92 + 82 + 94 + x)/5 - 5

Simplifying this equation, we can first add the numbers in the numerator:

x = (353 + x)/5 - 5

Next, we can multiply both sides by 5 to eliminate the denominator:

5x = 353 + x - 25

Simplifying further, we can combine like terms:

4x = 328

Finally, we can solve for x by dividing both sides by 4:

x = 82

Therefore, the correct equation for Markus to determine his score on the fifth test is:

4(x - 5) = 353 + x.

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Related Questions

erm help me pls?











cbbcbcbcbcbcbcbcbcbcbcbcbcbcbcbcbcb
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Answers

Answer:

Area is 585

Step-by-step explanation:

Using the area formula A = [tex]h_{b}[/tex] b / 2 you can substitute the given values into it to find the area of the triangle.

Given Values:

- Base: 45

- Height: 26

So,

26 x 45 / 2

=> 1170 / 2

=> 585

Area: 585

hope this helps and is right. p.s. i really need brainliest :)

Arthur wants to plant flowers in the triangular section of the garden and vegetables in the rectangular section. Select all the statements that describe the garden.



( Giving Brainliest)

Answers

Answer:

b,e

Step-by-step explanation:

40*50=2000 sqft vegetables

40*30/2=600 sqft flowers

What is the length of the longest side of a right-angled triangle if one side is 5cm and one is 7cm? to one decimal place
Plese help I need answer quickly>"

Answers

Answer:

≈ 8.6 cm

Step-by-step explanation:

The longest side of a right triangle is the hypotenuse h

Using Pythagoras' identity , then

h² = 5² + 7² = 25 + 49 = 74 ( take the square root of both sides )

h = [tex]\sqrt{74}[/tex] ≈ 8.6 cm ( to 1 dec. place )

This is your amswer.

hope this helps you.

Find the total surface area of this cone

Answers

Answer:

S.A. = 1,017.36

Step-by-step explanation:

S.A. = [tex]\pi r^{2} + \pi rl[/tex]

12 x 12 x 3.14 = 452.16

3.14 x 12 x 15 = 565.2

565.2 + 452.16 = 1,017.36

i need help with this quickly anybody. (no pictures)

Answers

Answer:

Its C

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

The lines are perpendicular meaning that the bottom angle is the same as the top.

Find x please help I need the answer before 11:59

Answers

It might be 58 degrees

Answer:

122 degrees

Step-by-step explanation:

180-148=32

90-32=58

180-58=122

A.Vertical
B.Supplementary
C.Complementary
D.None

Answers

i think it’s c cccccccccc

Can anyone help me with this math equation??

Answers

Answer:

0.4

Step-by-step explanation:

if u reduce that fraction it would be 4/10 which is 0.4 in decimal form

Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.

4(y – 3) =

Answers

Answer:

4y−12

Step-by-step explanation:

4(y−3)

Use the distributive property to multiply 4 by y−3.

4y−12

There are 18 eight graders, 12 seventh graders, and 9 6th graders on the middle school football team. What is the ratio of 8th graders to 6th graders, in lowest terms?
Group of answer choices

2:1

1:2

18:9

Answers

Answer:

2 : 1

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

well 8th graders are 18 and 6th graders are 9

so 18:9

Simplify

2:1

Since its in the order of 8th graders:6th graders

Suppose on April 1, a gag store sold a total of 27 widgets and wombats combined. If widgets cost
$0.75, wombats cost $1.25, and the store received a total of $27.75 for these two items, how
many of each item did the store sell?

Answers

Answer:

Widgets: 12

Wombats: 15

Step-by-step explanation:

Let x represent widgets

y represent wombats

Set up the equations

(1) x + y = 27

(2) 0.75x + 1.25y = 27.75

Solve equation (1), x + y = 27 for x

x = 27 - y

Substitute 27- y for x into equation (2)

0.75(27 - y) + 1.25y = 27.75

0.5y + 20.25 = 27.75

0.5y = 7.5

y = 15

Substitute 15 for y into equation (2)

x = 27 - 15

= 12

which of the following is a difference of cubes?
a. 3x^9-64y^3
b. 15x^21-64y^3
c. 27x^15-9y^3
d. x^6+27y^9

Answers

Answer:

D: x^(6) + 27y^(9)

Step-by-step explanation:

A) 3x^(9) - 64y^(3)

The first term is raised to the power of 9 and has a coefficient which cannot also be expressed as a cube while the second term is raised to the power of 3 but has a coefficient that can be expressed as a cube. Thus the entire equation cannot be simplified to cubes as the first term cannot be expressed a cube.

B) 15x^(21) - 64y^(3)

Similar to the reason given in A above, the first term cannot be expressed as a cube.

C) 27x^(15) - 9y^(3)

In this one, the first term can be expressed as a cube while the second one cannot be expressed as a cube because 9 cannot be expressed as a cube.

D) x^(6) + 27y^(9)

This can be expressed as;

(x²)³ - (-3y³)³

This is therefore a difference of cubes

Solve for X. Round your answer to the nearest tenth.

Answers

Basically add up the given side lengths and subtract that from 180 for the triangles

please help and don't do it only because of point do it for help

Answers

Answer:

OML IM SO SRRY I MIXED IT UP

its B. im srry if you already said C

Step-by-step explanation:

Answer:

(-4, 0.5)

Step-by-step explanation:

34 + 2 ⋅ 5 = ____. (Input only whole numbers.) PLZZZ help asp

Answers

PEMDAS order refers to parentheses, exponents, multiplication, division, addition, and subtraction. So, 2*5=10 and 34+10=44.

Answer:

91

Step-by-step explanation:

Write the place value of the mentioned number:

a) 72 636.48 (What's the place value of number 4?)
b) 5591.281 (What's the place value of number 1?)

Answers

4 tenths and the one is either in the ones place or the 100 hundredth place

Answer:

a. 4 = decimal point one's place

b. 1 = one's place

Step-by-step explanation:

Which graph best represents a quadratic function that has only one zero?

Answers

Answer:

B

Step-by-step explanation:

A has 2 it crosses the x axis 2x

B Has 1.

C has 2

D has none since it never touched the x axis

Option B is correct.

Quadratic function :

If the graph of quadratic function crosses x - axis at two points then that function has two zeros.

If the graph of quadratic function crosses x - axis at only one point then that function has only one zero.If the graph of quadratic function do not crosses x - axis at any point then that function has no zeros.From given option, It is observed that option B graph crosses x- axis at only one point.

Therefore, Option B graph represent a quadratic function that has only one zero.

Learn more about the graph of quadratic function here:

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Sara was thinking of a number. Sara adds 12, then divides by 7 to get an answer of 11. What was the original number?

Answers

Answer:

65

Step-by-step explanation:

Do the opposite of what the question gives you.

Sara has the number 11. She divided by 7, so you would multiply by 7:

11 x 7 = 77

Next, Sara added 12, so you will subtract by 12:

77 - 12 = 65

65 is the number Sara was thinking of.

~

Answer the equation
[tex](25+x)^{2} -35^{2} =x^{2}[/tex]

Answers

Answer:

Step-by-step explanation:

Here are some steps to help you

You gotta use PEMDAS:

ParenthesisExponentMultiplicationDivisionAdditionSubtraction

Step 1

x^2+50x-600=x^2  You gotta Remove parenthesis

Step 2

x^2+50x−600=x^2  subtract x^2 from sides

50x-600=0

Step 3

50x-600=0  add 600 to the sides

50x=600

Step 4

50x=600  Divide the sides by 50

So therefore, your answer is x=12

Hope this helps

Find the value of x and each arc measure

Answers

Answer:

x=11

mMN=65

mNP=115

mNQP=245

Step-by-step explanation:

10x-45=6x-1

4x=44

x=11

mMN 6(11)-1=65/ 10(11)-45=65

mNP 180-65=115

mNQP 65+115+65=245

Ashlee was born on 12/24/2002. How many eight-digit codes could she make using the digits in her birthday?

Answers

Answer:

840

Step-by-step explanation:

Given the date:

Birth date = 12/24/2002

Number of digits = 8 = 8! = (8*7*6*5*4*3*2*1) = 40320

Repeated digits :

digit 2 = 4 times = 4! = (4 * 3 *2 * 1) = 24

digit 0 = 2 times = 2! = 2*1 = 2

Therefore the number of 8 digit codes that can be formed is :

8! / (4! * 2!)

40320 / (24 * 2)

40320 / 48

= 840

Hence, 840 8 digit codes can be formed

4.3 × 107 + 9.1 × 108 = _____ x 10 ^----
please help

Answers

Answer:

1442.9 = 1.4429 x 10 ^1000

Step-by-step explanation:

PEMDAS

4.3 × 107 + 9.1 × 108 = _____ x 10 ^----

(4.3 × 107) + (9.1 × 108) = _____ x 10 ^---

460.1 + 982.8 = _____ x 10 ^----

1442.9 = 1.4429 x 10 ^1000

This is the right answer, I think you may have forgotten to put the ^.  

Answer:

9.53 × 108

Step-by-step explanation:

Make sure both numbers have the same exponent

4.3 × 107 = 0.43 × 108

Then add the coefficients

0.43 × 108 + 9.1 × 108 = 9.53 × 108

A ball is launched upward at 26 ft/sec from a platform that is 12 feet high. When will the ball hit the ground

Answers

Answer:

9.4 seconds or 1 second

Step-by-step explanation:

From;

h = ut ± 1/2gt^2

h = 12 feet

g = acceleration due to gravity = 10 m/s^2

u = 26 ft/sec

Since it is an upward motion g is negative

12 = 26t - 5t^2

Hence;

5t^2 - 26t + 12 = 0

Solving the quadratic equation

Considering that the time taken to go up is the same time taken to hit the ground again

t = 2(4.7) seconds or t = 2(0.5) seconds

t = 9.4 seconds or 1 second

Three quarters of a jug was filled with water. Jyoti poured out half of the water present in the jug into a glass. What part of the jug is filled now?

Answers

Answer:

1/8

Step-by-step explanation:

Initially the jug was filled three quarters that is ¾. And jyoti poured out half of the water present in the jug. We need to find out which part of jug is filled. So since half of water is taken , hence water taken = 3/4 ÷ 2 = 3/4 × 1/2 = 3/8

⇒ Water left = 3/4 - 3/8

⇒ Water left = 6 - 3/8

⇒ Water left = 1/8

Hence 1/8 parts of water is left out.

Ann buys a dress in a sale. The normal price of the dress is £36 and it is reduced by 20%. Work out the sale price of the dress.

Answers

Reduced by 20% means it is on sale for 80% of the original price ( 100% - 20% = 80%)

Multiply the original price by 80%

36 x 0.8 = 28.80

The sale price is £28.80

Ted owns 3 surfboards and 2 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations can he choose?

Group of answer choices

5

12

6

4 i will give brianllent for a right

Answers

6 cause and in math means multiply so if u multiply 3x2 it equals up to 6 so there you go !

Can anyone please help me with this math equation?

Answers

Answer:

1/5

Step-by-step explanation:

umm what's (3/5)/3

1/5

Find -4- 2(1)/(2). Model the expression on the number line by drawing an arrow
I'm giving 30 points for this one

Answers

Answer:

Step-by-step explanation:

It would be the middle of the 6 and 5 because you go -4 plus to to the left and in half would be in the middle of that.

Which are supplementary?

Answers

Answer:

A (first one)

Step-by-step explanation:

Supplementary- the angles add up to 180 degrees.

After viewing the angles, you can see the angles add up to 180.

The equation g(t)=2+23.7t−4.9t2 models the height, in meters, of a pumpkin t seconds after it has been launched from a catapult. Is the pumpkin still in the air 8 seconds later? Explain or show how you know.

Answers

Answer:

The pumpkin is not in the air

Step-by-step explanation:

The equation is

[tex]g(t)=2+23.7t-4.9t^2[/tex]

Let us find when the pumpkin will reach the ground

[tex]0=2+23.7t-4.9t^2\\\Rightarrow -49t^2+237t+20=0\\\Rightarrow t=\frac{-237\pm \sqrt{237^2-4\left(-49\right)\times 20}}{2\left(-49\right)}\\\Rightarrow t=-0.08,4.91[/tex]

So, the pumpkin will reach the ground at 4.91 seconds. Hence, at 8 seconds the pumpkin will reach the ground.

OR

At [tex]t=8\ \text{s}[/tex]

[tex]g(8)=2+23.7\times 8-4.9\times 8^2\\\Rightarrow g(8)=-122\ \text{m}[/tex]

The height of the pumpkin is negative 122 m. This means it is lower than the ground. So, the pumpkin is not in the air 8 seconds later.

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