Christian wants to make an A in his class. There are 5 exams this year, and he has taken 4 of them. His grades were 84, 88, 95, and 104. What grade must Christian earn on the last exam to get an average of at least a 90?

Answers

Answer 1

Answer:

last test grade=x     x ≥ 79 so 79%

Step-by-step explanation:

(84/5)+(88/5)+(95/5)+(104/5)+(x/5) ≥ 90

Simplify: (371/5)+(x/5) ≥ 90

Subtract (371/5) from both sides

Then you have (x/5) ≥ (79/5)

Then multiply both sides by 5 and you have x ≥ 79

P.S. If it was helpful please consider giving me brainliest. =)


Related Questions

4d + 7e = 68 -4 - 6e = -72

Answers

Answer:

Step-by-step explanation:

4d + 7e = 68

-4d - 6e = -72

e = -4

4d  + 7(-4) = 68

4d - 28 = 68

4d = 96

d = 24

(24, -4)

Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.

Answers

Answer:

[tex]f(n) = 5 + f(n - 1)[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 5n - 2[/tex]

Required

Write a recursive expression

[tex]f(n) = 5n - 2[/tex]

When n = 1

[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]

[tex]f(1) = 3[/tex]

When n = 2

[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]

[tex]f(2) = 8[/tex] can be rewritten as

[tex]f(2) = 5 + 3[/tex]

Substitute 3 for f(1)

[tex]f(2) = 5 + f(1)[/tex]

Express 1 as 2 - 1

[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)

When n = 3

[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]

[tex]f(3) = 13[/tex] can be rewritten as

[tex]f(3) = 5 + 8[/tex]

Substitute 8 for f(2)

[tex]f(3) = 5 + f(2)[/tex]

Express 2 as 3 - 1

[tex]f(3) = 5 + f(3 - 1)[/tex]  ------ (2)

Write out (1) and (2)

[tex]f(2) = 5 + f(2-1)[/tex]

[tex]f(3) = 5 + f(3 - 1)[/tex]

Replace 2 and 3 with n in both cases; This gives

[tex]f(n) = 5 + f(n - 1)[/tex]

Hence;

The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]

A fruit juice company includes 1.247 ounces of orange juice in a 6.85 ounce bottle of mixed fruit juice. How much of the bottle of mixed fruit juice is not orange juice​

Answers

Answer:

5.603 ounces

Step-by-step explanation:

From the information given, you know the ounces of orange juice included in a bottle and the ounces of mixed fruit juice that the bottle has. So, to be able to determine how much of the bottle of mixed fruit juice is not orange juice​, you have to subtract the ounces of orange juice in the bottle from the ounces of mixed fruit juice that it has:

6.85-1.247=5.603

According to this, the answer is that the bottle of mixed fruit juice has 5.603 ounces that are not of orange juice.

(0.4y - 3)/(1.5y + 9) = -7/5

Please help

Answers

Answer: -96/25

Step by step explanation:

What is the F”
G”
H”
J”

Answers

Answer:

F: 1, -2

G: 3, 1

H: 5, -2

J: 3, -5

Step-by-step explanation:

Hope this helps!!!

Please help ik its kinda esay but is dificlut for me

Answers

Answer:

see explanation

Step-by-step explanation:

For a relation to be a function each value of x on the domain can only map to one unique value of y in the range.

For the given point, we can see that

x = 1 → y = 4 and x = 1 → y = 1

This breaks the function rule, thus the set is not a function

Explanation:

The list of first numbers of the ordered pairs is ...

  1, 3, 1, 9, 0.

There is a repeated value, 1, so the relation cannot be a function. Each domain value can only appear once in a relation that is a function.

Simplify : -9c - 15 + 7c + 10 + 2c

Answers

Answer:

-5

Step-by-step explanation:

-9c - 15 + 7c + 10 + 2c

-9c + 7c + 2c -15 + 10

-9c + 9c - 5

-5

Answer:

5

Step-by-step explanation:

-9c - 15 + 7c + 10 +2c

-9c + 9c + -15 + 10

5

The length of a square garden is twice a number. If the perimeter of the garden is 36, find the number.

Answers

Answer:

x = 4.5

Step-by-step explanation:

l = 2x

p = 4l

note: 4l in this case because it is a square

plug in l into equation p

36 = 4(2x)

36 = 8x

divide by 8

x = 4.5

Mrs. King is buying a solar cover for her rectangular
swimming pool. The cover will float on the surface of the
pool and has the same dimensions as the pool. The pool is
twice as long as it is wide. Its width is 14 feet. What is the
area of the solar cover?
А
392 ft?
B
352 ft?
с
84 ft?
98 ft

Answers

Answer:

Option A

Step-by-step explanation:

If the length is twice as long as the width (14 ft), that makes it 28 ft. (14 x 2=28)

14 ft x 28 ft = 392 square feet

Therefore, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Mrs. King is buying a solar cover for her rectangular swimming pool. The cover will float on the surface of the pool and has the same dimensions as the pool.

The pool is twice as long as it is wide. Its width is 14 feet.

If the length is twice as long as the width [tex]14ft[/tex], that makes it [tex]28 ft[/tex].

Then the [tex](14 (2)=28)[/tex].

So,

[tex]14[/tex] ft x [tex]28[/tex] ft = [tex]392[/tex] square feet

Hence, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.

To know more about the simplification

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HELP ME PLEASE i need this right now

Answers

Answer:

jimragarant 1

Step-by-step explanation:

pls can u help me with the questions i have posted i will give u anything u want

pls help its urgent

Answer:

108.8 yd²

Step-by-step explanation:

The area (A) of the triangle can be calculated as

A = [tex]\frac{1}{2}[/tex] absinC

where a, b are 2 sides and C the angle between them

Here a = 23, b = 9.5 and C = 85° , thus

A = 0.5 × 23 × 9.5 × sin85° ≈ 108.8 yd² ( to the nearest tenth )

if DF = 15 and DE = 6, find EF if E is between D and F?

Answers

Answer:

EF=9

Step-by-step explanation:

DF=15

DE=6  EF=9

Write equation 6+x=15

subtract 6 on both sides

x=9 EF=9

- Do two points always, sometimes, or never determine a line? Explain

Answers

Answer:

Always

Step-by-step explanation:

if two points lie in a plane, then the entire line containing those points lies in that plane

x-6y<-12 in slope intercept form

Answers

X-6y<-12 in slope intercept form is y > 1/6X + 2

I don’t understand this

Answers

AA Postulate. You have two angles available for both triangles.

A little help would be great Thank you!

Answers

I believe 37.5 because you would divide 225 by 6 making it 37.5. If you divide all of them by the number above they will all be 37.5

Answer:

37.5 miles per hour

Step-by-step explanation:

To find the miles per hour, you divide the miles by hours. If you divide 225/6, you get 37.5. You can double check this by dividing another set, like 450/12 and see that you still get 37.5. Hope this helps! :)

9.6= 1.2b find b please show work
PLEASEEEE

Answers

Answer:

8

Step-by-step explanation:

1.) 9.6=1.2b

2.) 9.6/1.2=1.2b/1.2

3.)b=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{b = 8}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: \: 9.6 = 1.2b}}[/tex]

Swap the sides of the equation

[tex] \hookrightarrow{ \sf{1.2b = 9.6}}[/tex]

Divide both sides by 1.2

[tex] \hookrightarrow{ \sf{ \frac{1.2b}{1.2} = \frac{9.6}{1.2} }}[/tex]

Calculate

[tex] \hookrightarrow{ \bold{ \boxed{ \sf{b = 8}}}}[/tex]

The value of b is 8

Hope I helped!

Best regards! :D

~ TheAnimeGirl

I need help w thsi 30+6ft=11ft

Answers

Answer:

6 i think

Step-by-step explanation:

30+6ft=11ft

    -6     -6

   30=5

30/5=6  5/5=1

6=1

-
A local pizzeria sells a small pizza
with one topping for $6 and a small
pizza with three toppings for $8. What
is the charge for a plain small pizza
and the charge for each topping?

Answers

A plain small pizza is $5 and $1 for each topping


The units of the subway map below are in miles. Suppose the routes between stations are straight. Find the approximate distance a passenger would travel
between stations J and K.
The distance from Station 3 to Station K is approximately __ miles.
(Round to the nearest tenth as needed.)

Answers

Answer:

if anyone got the question asking between stations b and d instead of j and k the answer is 6

Step-by-step explanation:

6

Answer:

8.9

Step-by-step explanation:

Find the product -1(-15) . Oh and also -1(-24) pls help

Answers

Answer:

15 and 24

Step-by-step explanation:

distribute the -1 to the -15 amd it will cancel out same for the other

The midpoint of AB is M (5,1). If the coordinates of A are (3,6), what are the
coordinates of B answers

Answers

The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).

What are the coordinates of the midpoint of the line segment AB?

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}[/tex]

and

[tex]y = \dfrac{q+n}{2}[/tex]

Given that the midpoint of AB is M whose coordinates can be written as,

The x-coordinate of point B,

[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]

[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]

10 = 3 + x

x = 10 - 3

x = 7

The y-coordinate of point B,

[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]

[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]

2 = 6 + y

y = 2 - 6

y = -4

Hence, the coordinates of point B are (7, -4).

Learn more about Midpoint here:

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Angle A is 80, Angle C is 40 Figure out what measure the angle of B

Answers

Answer:

60

Step-by-step explanation:

The angle measures in a triangle always add up 180 degrees. 180-80-40=60

Simplify the expression
4r-7r +8+ r

Answers

Answer:

-2r+8

Step-by-step explanation:

4r-7r+8+r

5r-7r+8

-2r+8

-2r+8

The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8

what is the measure of

Answers

Answer:

Your answer is going to be D

Step-by-step explanation:

Add 100° with 30° and subtract that sum from 180°.

I need help with this one

Answers

Answer:

look it up

Step-by-step explanation:

-2(-3)^3
-2(-3^3)
2 x 27
54
y=54

But I got undefined for the last one

Diane owes $11901.00 to the bank after completing her college degree. With the funds from her new job she is paying back $153.00 per month. Her friend Teresa was given $4906.00 in the bank for college from her family, and she is spending $337.00 per month out of this college fund. If these were continuous functions, after how many months will Diane have the same bank balance than Teresa, rounded to the nearest tenth

Answers

On average, parents pay 10% of the total amount due with borrowed funds; students cover 14% with student loans and other debt-forming sources. The remaining 29% of the cost of college is mostly covered by scholarships and grants won by the student: 17% by scholarships and 11% by grants.

please explain how to do this one as well ...

Answers

Answer:

x = 13

Step-by-step explanation:

Step 1: Define

f(x) = (x - 1)/2

f(x) = 6

Step 2: Substitute and solve for x

6 = (x - 1)/2

12 = x - 1

x = 13

(-12) +7
what’s the answer

A.-11
B.-17
C.4
D.-5
E.8

Answers

Answer: -5

1.) remove parenthesis

-12+7

2.) simplify

-5

Answer:

D) -5

Step-by-step explanation:

When two numbers have different sign, subtract and the answer will have the sign of the bigger number.

Here the sign of bigger number is negative. So, (-5)

6 × 10E2 as a standard notation

Answers

Answer:

600

Step-by-step explanation:

6x10^2 = 600

Answer:

600

Step-by-step explanation:

= loan
6
2) The wire length 176 cm is first bent into a square
and then into a circle
which one will have more area? (II= 22/7)

Answers

Length of Wire = 176 cm

It's bent into a square.

Side of square = 176/4 = 44 cm

Area of square = Side × Side = 44 × 44 = 1,936 sq.cm

Then it's bent into a circle.

Circumference of the circle = 2πr = 176 cm

Circumference = r = 176/2 × 7/22 = 28 cm

Area of circle = πr^2

Area = 22/7 × 28 × 28

Area = 2,464 sq.cm

The Circle will have more area than the square.

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