Shureka Washburn has scores of 62​, 82​, 62​, and 68 on her algebra tests.

a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 71 or​ higher, given that the final exam counts as two tests.

b. Explain the meaning of the answer to part​ (a).

Answers

Answer 1

Shureka's present scores of 62, 82, 62, and 68, and a passing score of 71 or higher gives;

The score she must make in her final exam is x ≥ 152

Which inequality can be used to represent the final score?

Shureka's scores are 62, 82, 62, 68

Grade with which Shureka will pass the course = 71

Number of test her final exam is equivalent to = 2

Let x represent her score in her final exam, we have;

[tex] \frac{62 + 82 + 62 + 68 + x}{4 + 2} \geqslant 71[/tex]

Which gives;

62+82+62+68+x ≥ 71 × (4+2) = 426

274 + x ≥ 426

x ≥ 426 - 274 = 152

x ≥ 152

The scores she must make In her final exam to pass with an average score of 71 or higher is x ≥ 152

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Related Questions

1 Latisha and Maisha are twins. They have a brother who is eleven years younger than
them and an older sister who is four years older. The sum of the ages of all four siblings
is 73. Find Latisha's age.
Sum = 73

Answers

Answer: 20 years old

Step-by-step explanation:

L=Latisha's age. M=Maisha's age.

O=older sister's age. Y=Younger Brother's age

L=M since both Latisha and Maisha are twins.

Y=L-11

O=L+4

L+M+O+Y=73

L+L+L+4+L-11=73

L+L+L+L+4-11=73

4L-7=73

4L=80

L=20 years old

FIRST ANSWER GETS BRAINLIEST

Answers

Answer:

The answer is 22 2/3

Step-by-step explanation:

8. Karen earned $81.00 at her job last week. Kimberly earned 33% as much money as Karen. How much money did Kimberly earn?​

Answers

Answer:

$26.73

Step-by-step explanation:

Karen: $81

Kimberly: 33% of $81

33% of $81 = 0.33 × $81 = $26.73

Joe has a mullet ratio of 1.5 (a) Find 2 possibilities for his hair lengths.​

Answers

Mullet ratio of 1.5 is 1.8

Given:

The mullet ratio is 1.5

Rm=[tex]\frac{party}{buisness}[/tex]

Rm = 17/9

Rm=1.8

The ratio to their Mullet and several other higher-level extension questions.

Trimmed short in the front and sides, but left wild and long in the back. Mullet begins the experience with intuition, the lowest rung on the ladder of abstraction, asking students to decide using nothing more than their gut “which one is more Mullet-y” By the end, they’ve named variables and defined operations, entirely abstracting the context.

The pipe cleaner was inserted along the hair, and the students straightened it on their rulers to determine the size of the Party. The Business was often rather honest.

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Find the perimeter of a rectangle whose width is 16 and whose length is 12 square feet

Answers

Answer:

56 square feet

Step-by-step explanation:

a rectangle has 4 sides, and two of each are the same;

12 is the length

16 is the width

12 + 12 + 16 + 16 = 56

final answer is 56 square feet

hope this helped xx

HELP PLS.
A line segment has an endpoint at (4, 5). If the
midpoint of the line segment is (-1,4), what is the
location of the line segment's other endpoint?

Answers

Answer:   (-6, 3)

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

Explanation:

A = (4,5) is one endpoint

B = (-1, 4) is the midpoint

C = (x,y) is the other endpoint

For now, focus on the x coordinates of each point

A and C have x coordinates of 4 and x respectively

Add them up and divide in half. Set this equal to the x coordinate of B

(4+x)/2 = -1

4+x = 2*(-1)

4+x = -2

x = -2-4

x = -6 which is the x coordinate of point C

Repeat this same idea for the y coordinates

(5+y)/2 = 4

5+y = 2*4

5+y = 8

y = 8-5

y = 3 which is the y coordinate of point C

Therefore, point C is located at (-6, 3)

--------------------------

To verify the answer, you can use the distance formula to calculate the following segment lengths: AB and BC

You should find that AB = BC. This is because the midpoint splits segment AC into two smaller equal pieces.

Another way to verify the answer is to use the midpoint formula on points A(4,5) and C(-6,3). The result of using this formula should be B(-1,4) mentioned earlier.

help me understand this

Answers

Answer:

59,049

Step-by-step explanation:

Since 3^2 is basically 3 times 3 which is 9, then what's 9 times 9, 9, 9, 9, 9 (9^5)?

Answer: 3¹⁰

Step-by-step explanation:

[tex]\displaystyle\\(3^2)^5=\\\\3^{2*5}=\\\\3^{10}[/tex]

Evaluate |a| - |b|, given a = 5, b = -3, and c = -2.
1. 8
2. 7
3. 3
4. 2

Answers

Check out the attached photo

Select all of the terms that are "like."


x 2
2x 2 y
-xy
xy
xy 2
2xy

Answers

Answer:

x2,2x2y,xy2,-xy,xy,2xy

7(3 + x) - 4(x + 1)
distributive property

Answers

Answer: 17+3x

Step-by-step explanation:

7(3 + x) - 4(x + 1)=

21+7*x-4x+(-4*1)=     ==> Distribution Property

21+7x-4x+(-4)=

21+3x-4=

21-4+3x=17+3x

Let’s rewrite the expression out:

7(3 + x) - 4(x + 1)

Now we can distribute:

21 + 7x - 4x - 4

Now we can combine like terms:

17 + 3x

Now we flip them around; the coefficient always should come first:

3x + 17

Using the distributive property, the final expression is 3x + 17.

Please tell me what order these go in

Answers

The missing reasons in the prof are:

1. Given

2. Vertical angles are congruent

3. Substitution

4. Subtraction

5. Addition

6. Division

What is the Vertical Angles Theorem?

According to the vertical angles theorem, if two angles are vertical angles, then they would be congruent to each other.

The following are the missing reasons in the given proof;

1. <PAR and <TAS are vertical angles [given]

2. <PAR ≅ <TAS [vertical angles are congruent]

3. 3x + 14 = 50 - x [substitution]

4. 3x = 36 - x [subtraction]

5. 4x = 36 [addition]

6. x = 9 [division]

Therefore, the missing reasons in the prof are:

1. Given

2. Vertical angles are congruent

3. Substitution

4. Subtraction

5. Addition

6. Division

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Find the (a) mean, (b) median, (c) mode.
Listed below are the highest amounts of net worth (in millions
of dollars) of all celebrities. What do the results tell us about
the population of all celebrities? Based on the nature of the
amounts, what can be inferred about their precision?
240 190 175 155 150 150 130 130 130 130
The mean is $ type your answer...
million. The median is $
type your answer...
million and the mode is $
type your answer...
million.

Answers

Answer: Mean = 158 - Median = 158 - Mode = 130

Answer: (a) mean is $158  (b) median is $150  (c) mode is $130

Step-by-step explanation:

Arrange the series:

130  130  130  130  150  150  155  175  190  240

[tex]\displaystyle\\Mean=\frac{130*4+150+2+155+175+190+240}{10} \\\\Mean=\frac{1580}{10} \\\\Mean=158\\\\Median=\frac{150+150}{2} \\\\Median=\frac{300}{2} \\\\Median=150\\\\Mode=130[/tex]


ABC = 40° and
x
= 9 cm.
Find the length of AC.
Give your answer rounded to 1 DP.

Answers

The length of AC is 6.228 cm.

Here the angle of the triangle ∡ABC is 40°, AB = BC = 9.

We have to find the length of AC which is opposite to ∡B.

Let AB = BC = x , AC = c

From the cosine formula, we know that

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab cos α

Here c is the length of the side opposite to the angle α, and a, b is the side adjacent to the angle α.

So from the cosine formula we have

[tex]c^{2}[/tex] = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] -2[tex]x^{2}[/tex]cos α

[tex]c^{2}[/tex] = 2[tex]x^{2}[/tex] - 2[tex]x^{2}[/tex] cos 40°

   = 2[tex]x^{2}[/tex](1- cos 40°)

   = 2 ×[tex]9^{2}[/tex] ( 1 - 0.76)

    = 2 × 81 × 0.24

c = 2 × 9 × 0.2×√3

  =3.6 × 1.73

  = 6.228cm

Therefore the length of the side AC is 6.228cm.

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5) {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)}

does this represent a function or no?​

Answers

These set of figures: {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} does not represent a function. Instead, it represents a set.

We are supposed to answer whether {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} represents a function or not.

The answer is NO. This is not a representation of a function instead it is a representation of set.

Function: In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). For example [tex]F(x) = 2x-4[/tex] and at [tex]x=0[/tex] the value of function will be zero.Set: In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form.Typically, sets are denoted by curly brackets; for instance, A = {1, 2, 3, 4} is a set.

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Please help due today

Answers

Answer:

Bars Express is less expensive and will save you one cent on shipping costs for 5 candy bars.

Step-by-step explanation:

Plug in 5 into the x values of both equations and see how much they both cost.

Uber Bars -> 3 + 1.59(5) = 10.95

Bars Express -> 0.99 + 1.99(5) = 10.94

following the finite difference process we used in lecture, use a second order difference scheme to approximate x′′(t) and rewrite this initial value problem as a linear system of equations ax

Answers

Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.

What is a difference equation?

The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.

The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.

Calculations:

syms y(t) z(t)

eqns = [diff(y,t)==z, diff(z,t)==-y];

[ySol(t),zSol(t)] = dsolve(eqns)

ySol(t) = C

cos(t)+C

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Pleas help me it would be so nice

Answers

Answer:

1. 0.003

2. 0.5

3. 0.001343

4.0.05003

5. 0.670570

6. 1.01

..., -39, ______, ______, -45,....
Find the missing term

Answers

The answer is: …,-39, -41, -43, -45,….

solve the equation 6x = 12​

Answers

6x=12
Divide both sides by 6
x=2

Answer: x=2

Step-by-step explanation:

[tex]6x=12[/tex]

[tex]\frac{6}{6}x=\frac{12}{6}[/tex]

[tex]x=2[/tex]

Pls HELP ME
Solve each of the following equations for the given values. Show ALL solution steps.
1. A = bh for h, if b = 4 and A = 28
2. A = πr2 for A, if r = 5.
3. A = bh for h if b = 15 and A = 45. h=?
4. A = bh for h if b = 10 and A = 80. h=?
5.P = 2l + 2w for l if w = 4 and P = 18. l=?

Answers

Answer:

1.h=7; 2. A=78.5; 3. h=3; 4. h=8; 5. I=5.

Step-by-step explanation:

1. A = bh for h, if b = 4 and A = 28

So 28=4h then we divided both side by 4 to get the value of h , h=7.

2. A = πr2 for A, if r = 5.

So A=3.14×25=78.5.

3. A = bh for h if b = 15 and A = 45. h=?

So 45=15h then we divided both side by 15 to get the value of h , h=3.

4. A = bh for h if b = 10 and A = 80. h=?

So 80=10h then we divided both side by 10 to get the value of h , h=8.

5.P = 2l + 2w for l if w = 4 and P = 18. l=?

So 18=2I + 2(4) =18-8=2I 10=2l then to get the value of I divided both side by 2, I=5.

Molli purchased 9 apples for $3.96. While looking at her receipt, Molli divided $3.96 by 9.
Why might Molli perform this calculation?

Answers

Answer:

To find out how much each apple cost

Step-by-step explanation:

If Molli bought 9 apples for a total of $3.96, she could divide her total by 9 to figure out how much each individual apple cost.

−4 3/3 − 5/3 subtract then simplify

Answers

3X=yn-2+(9) EHEHEHEHEHEHEHEH

The label on a car's antifreeze container claims to protect the car between −30°C and 130°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

Answers

Answer:

he. haha. shyw sjIana d auhaabab ssbajiaan s

What is the domain of f(x)=2?

Answers

Answer:

All real numbers

Step-by-step explanation:

Domain means the valid x values.  If you graph this it is a horizontal line extending to negative infinity and positive infinity where y = 2.

All real numbers is going to be your answer

estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the u.s., per year. suppose that there are about 3 × 108 people in the united states, approximately half of the them have cars, each car drives an average of 12,000 mi per year, and consumes a gallon of gasoline for each 20 mi .

Answers

The total amount of gallons of gasoline expended by all the automobile drivers in the United States is 9 × (10)10 gallons. It is obtained using the basic concepts of word problems based on multiplication and division.

What are word problems?

Word problems are defined as mathematical problems that are completely expressed in the notation of words or language rather than numbers. Word problems can simply be based on addition, subtraction, multiplication, division, percentage, etc.

Calculation of the total amount of gasoline consumed in the US in units of gallon

According to the word problem, the total number of people in the US is  3 × (10)8

Number of people having cars = ½ × 3 × (10)8

                                               = 1.5 × (10)8

Each car drives an average of 12000 miles per hour, so the total distance travelled by one car is 12000 miles

The distance covered by all the cars = 1.5 × (10)8 × 12000

= 1.8 × (10)12 miles

20 miles is covered in 1 gallon of gasoline

1 mile is covered in 1/20 gallon of gasoline

So, 1.8 × (10)12 miles will be covered in 1.8 × (10)12 × (1/20)

= 9 × (10)10 gallons

Hence, the gallons of gasoline required is 9 × (10)10 gallons.

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a portion of a map with cites A and B is shown. The map uses a scale of 1 inch to 30 miles a new map has a scale of 2 inches = 15 miles. how far apart are cites A and B on the new map?

Answers

1in=15 then it’s 75. For 2in=25 then it’s 62.5

Find the 8th term of the arithmetic sequence 3x+13x+1, -2x+7−2x+7, -7x+13,
pls help me I will give brainlist

Answers

Answer: =38x+16.                                                            

a_{\color{red}{8}}=(\color{blue}{3x-5}) + (\color{red}{8}-1)(\color{green}{5x+3})

a

8

=(3x−5)+(8−1)(5x+3)

a_{8}=3x-5+ 7(5x+3)

a

8

=3x−5+7(5x+3)

a_{8}=3x-5+35x+21

a

8

=3x−5+35x+21

If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0

Answers

The true statements are f(-5) = -40,  f(0) = 3 and  f(3) = 0

How to determine the value

Given the function;

f(a) = 3a – a2

For f(-5), we substitute the value of a as -5, we have

f(-5) = 3(-5) - (-5)²

f(-5) = -15 - 25

f(-5) = -40

For f(4), we have

f(4) = 3(4) = 3(16)

f(4) = 12 - 48

f(4) = -36

For f(-1), we have

f(-1) = 3(-1) - (-1)²

f(-1) = -3 - 1

f(-1) = -4

For f(0), we have

f(0) = 3(0) -(0)

f(0) = 0

For f(3), we have

f(3) = 3(3) - 3²

f(3) = 0

Thus, the true statements are f(-5) = -40,  f(0) = 3 and  f(3) = 0

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multiple choice question. with explanation

Answers

Answer:

(1)

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° .

consider the inner triangle where

a + b + 58° = 180° ( subtract 58° from both sides )

a + b = 122°

consider the outer triangle where

c + d + 63° = 180° ( subtract 63° from both sides )

c + d = 117°

Then

a + b + c + d = 122° + 117° = 239°

3 QUESTIONS LEFT!! WILL GIVE BRAINLIEST TO PROPER ANSWER ONLY, NO SPAM

options for second drop down menu: P, K

Answers

Answer: Easy, T = VP/K

Step-by-step explanation:

1. Since you need to multiply P, making it VP = KT

2. Then, you need to divide the K, making it VP/K = T

3. So the first one is VP, the second one is K

Other Questions
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