Marta hopes to have a test average of at least 90 by the end of the marking period. Her grades on the first four tests have been 86, 84, 97 and 89. What is the lowest grade she can receive on her fifth and final test and still have a test average of 90 or higher?

Answers

Answer 1

Answer:

 Marta need to score at least 94 to receive an average of 90 or higher considering all five tests.

Explanation:

 Marks received by Marta in four tests =  86, 84, 97 and 89

 Let mark received in fifth test be x

 We have average of five test is more than or equal to 90

 So we have

    [tex]\frac{86+84+97+89+x}{5} \geq 90\\ \\ 86+84+97+89+x\geq 450\\ \\ x\geq 94[/tex]

 So Marta need to score at least 94 to receive an average of 90 or higher considering all five tests.

Answer 2
Final answer:

The lowest grade she can receive on her fifth and final test to achieve an average of 90 or higher is 94.

Explanation:

Marta hopes to have a test average of at least 90 by the end of the marking period. Her grades on the first four tests have been 86, 84, 97 and 89. To find the lowest grade she can receive on her fifth and final test to achieve an average of 90 or higher, we can use the formula:

Average = (Sum of all grades) / Total number of grades

Let x be the lowest grade she can receive on her fifth test. We can set up the equation:

(86 + 84 + 97 + 89 + x) / 5 = 90

Now we can solve for x:

86 + 84 + 97 + 89 + x = 90 * 5

356 + x = 450

x = 450 - 356

x = 94

Therefore, the lowest grade Marta can receive on her fifth and final test and still have a test average of 90 or higher is 94.

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Related Questions

What is the value of the 5 in 9,9009,121.15

Answers

The value of 5 is hundredths


Paula bought a 5-pound bag of granola. She plans to use equal amounts of granola to make 10 bags of trail mix and add the remaining amount to her bird feeder. She created the given function to model the amount of granola, in ounces, that she can add to her bird feeder if she puts x ounces in each bag.


What is the range of the function?
A. all whole numbers between and including 0 and 8
B. all whole numbers between and including 0 and 80
C. all real numbers between and including 0 and 80
D. all real numbers between and including 0 and 8

Answers

Given function: P(x) = -10x + 80.

Where function represents the amount of granola, in ounces and x represents the number of ounces Paula puts in each bag.

Range of the function is the values of the function we would get.

That is the amount of granola in ounces for different x values.

For x=0 the number of ounces would be -10(0)+80 = 80.

And for x=8, it would be -10(8) + 80 = 0.

But even we could take decimal values too.

Like x=0.5 ounces, x=0.55 ounces etc.

And that 0.55 would give a decimal value.

Therefore, we can take any real number for x between 0 and 8.

But we need to find the range.

So, the range would be between 0 and 80 and it could be any real number.

Therefore, correct option is :

C. all real numbers between and including 0 and 80.

it is A. for all plato users

Simplify the polynomial expression. 3x(-2x+7)-5(x-1)(4x-3)

A.
14x^2-14x+15
B.
-26x^2+21x-15
C.
-26x^2+56x-15
D.
-2x^2+14x-2

Answers

The answer is c. have a good day

Final answer:

To simplify the given polynomial expression, distribute coefficients to terms within each parentheses, combine like terms, and simplify further to obtain the simplified form of the expression: 14x^2 - 14x - 15.

Explanation:

To simplify the given polynomial expression, we'll start by distributing the coefficients to the terms within each parentheses:


 Distribute 3x into -2x+7: 3x(-2x+7) = -6x^2 + 21x
 Distribute 5 into (x-1) and (4x-3): 5(x-1)(4x-3) = 20x^2 - 35x - 15

Now, we'll combine like terms and simplify further:


 Combine the x^2 terms: -6x^2 + 21x + 20x^2 = 14x^2 + 21x
 Combine the x terms: 14x^2 + 21x - 35x = 14x^2 - 14x
 Combine the constant terms: 14x^2 - 14x - 15

Therefore, the simplified form of the given polynomial expression is 14x^2 - 14x - 15.

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The length of rectangular field is twice its breadth.If the perimeter of the field is 228,find the dimensions of the field

Answers

We have the equations: l = 2b and 2l + 2b = 228;

Then, 4b + 2b = 228;

6b = 228;

b = 228/6;

b = 38 (breadth);

l = 2·38;

l = 76 (length);

Help!!!
Please help my little sister understand this question.

Answers

Answer,

-17.1

Explanation,

All they are asking you to do is input the numbers, "2.5" & "-14.6" into the eqation.

So, let's do that.

-2.5 - |-14.6|

Now, all you have to do is simplify,

-2.5 - |-14.6| = -17.1


Hope this helps :-)


What is the length of the hypotenuse of the right triangle defined by the points (–3, –1), (1, –1), and (1, 2)?

Answers

First we have to see which is the right angle.  This triangle has its legs oriented parallel to the axes. (-3,-1) and (1,-1) form the horizontal leg, (1,-1) and (1,2) the vertical leg.  

So the right angle vertex is (1,-1) and the hypotenuse endpoints are (-3,-1) and (1,2)

The length is given by

[tex]d = \sqrt{ (1 - -3)^2 + (2 - -1)^2} = \sqrt{4^2+3^2}=\sqrt{25} = 5[/tex]

This is a 3/4/5 right triangle.

Answer: 5


Struggling with an assignment that requires finding the probability of compound events. Can anyone please explain how to find it? Thank you!

Answers

Answer:

4/9 probability

Step-by-step explanation:

Imagine winning something, there's 3 possible prizes that you get to choose from and get to keep let's say 4 days? These all written on the paper that you must pull from a box.

Your three prizes are

             D1    D2   D3    D4

1. a car

2. a bike

3. skateboard.

Now if you can imagine a grid and you mark 1 dot in each day we'll end up with 12 slots total.

Let's say you don't want a skateboard you rather have a car or a bike. We need to figure out of the 12 possibility (assuming all are equal) What's the possibility of you pulling out anything BUT a skateboard?

You want at least 3 days in either or. So we must find P = (Days without skateboard)

We know it's all equal outcomes, you're going to get 1 day of that 1 item.. soo..


p (DWS) = _____

                 12 outcomes


Now you want how many days MORE THAN 3, can you use anything but the skateboard?


You have 3 & 4 days with a car...

You have 3 or 4 days with a bike.. Which gives us 4 of the days we do want!


Giving your final problem the looking like this .. P(DWS) = 4/9



In respects/C to KhanAcademy.


Answer:

4/9 probrabitaty


Step-by-step explanation:


Write the equation of the line parallel to the given line and passing through the given point.

y = 6 through (3,4)

Answers

y = 6 it a horizontal line. The line parallel to horizontal line is horizontal line with the equation y = a.

The line passing through the point (3, 4) → y = 4.

Therefore your answer is : y = 4.

Answer:

y = 4.

Step-by-step explanation:

I checked :)

Please help asap 25 pts

Answers

[tex]8x > -32\qquad|\text{divide both sides by 8}\\\\x > -4\\-----------------------------------\\\\6x\leq-48\qquad|\text{divide both sides by 6}\\\\x\leq-8\\\\Answer:\ c)\ x > -4\ or\ x\leq-8[/tex]

5.4 trillion gallons of water can supply six months of supply for 100 million households, how many househods

Answers

please write the complete question for answer

Jan has a 10-ounce smoothie.Four ounces in the smoothie are vanilla yogurt,and the rest is orange juice.What are two equivalent fraction that represents the fraction of the smoothie that is vanilla yogurt?

Answers

4/10 or 2/5 becuase 4 out of 10 is 40%.

What is the value of x in the equation 2x + 9 = 21? (4 points)


2

6

9

15
2.
What is the value of z in the equation 5(2z + 4) = 0? (4 points)


-2

0

2

20
3.
What is the value of c in the equation 2c + 5(c – 5) = 10? (4 points)


0

2

5

10
4.
An equation is shown below:

3(4x + 5) = 12

Which of the following correctly shows the beginning steps to solve this equation? (4 points)


Step 1: 12x + 15 = 12
Step 2: 12x = –3

Step 1: 12x + 5 = 12
Step 2: 12x = 7

Step 1: 7x + 5 = 12
Step 2: 7x = 7

Step 1: 7x + 8 = 12
Step 2: 7x = 4
5.
How many solutions can be found for the equation 3y + 5 – 2y = 11? (4 points)


Zero

One

Two

Infinitely many

Answers

answer=2x=12,x=6

2z+4=0,z=-2

Answer: answer=2x=12,x=6

2z+4=0,z=-2

Step-by-step explanation:

Which statement best describes the constant in this expression?

Answers

Answer:

A. It is the total cost for entertainment and cleaning.

Step-by-step explanation:

If we look at the information it says:

Facility rental is dependent upon number of hours we are renting the facility for.

Linen, food, and decoration also depends upon the number of attendees. Also, the table decorations depend upon the number of attendee.

The things that are independent of the number of attendees are entertainment and cleaning fee. These are fixed charges.

So, the total cost for entertainment and cleaning are the constants in the expression. This is the amount that will remain constant regardless of the number of attendees.

Factor the expression over the complex numbers.

[tex] x^{2} +18[/tex]

Answers

Here we are given the expression:

[tex]x^{2}+18[/tex]

Now let us equate it to zero to find x first,

[tex]x^{2}+18=0[/tex]

Now subtracting 18 from the other side,

[tex]x^{2}=-18[/tex]

taking square root on both sides,

So we will get two values of x as ,

[tex]x=3\sqrt{-2}[/tex]

[tex]x=-3\sqrt{-2}[/tex]

Now we can write square root -1 as i,

So our factors become,

[tex]x=3i\sqrt{2}[/tex]

[tex]x=-3i\sqrt{2}[/tex]

Answer:

The final factored form becomes,

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]



Answer:

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]

Step-by-step explanation:

1. You must apply the Quadratic formula, which is:

[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]

2. Substitute values:

[tex]a=1\\b=0\\c=18[/tex]

[tex]x=\frac{-0+/-\sqrt{0^{2}-4(1)(18)} }{2(1)}\\x=\frac{+/-\sqrt{-72}}{2}\\x=\frac{+/-6i\sqrt{2}}{2}\\x=+/-3i\sqrt{2}[/tex]

3. Finally, you obtain:

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]

Train A leaves Westtown and travels at 50 mph toward Smithville, 330 miles away. At the same time, Train B leaves Smithville and travels at 60 mph toward Westtown. After how many hours do the two trains meet? Enter your answer in the box.

Answers

here is your answer....

Answer: Hello mate!

first, let's do a list with all the things we know about this problem:

Both trains depart at the same time; we can define this time as t = 0 in hours.

the velocity of train A is 50mph

the velocity of train B is 60mph

both trains travel in opposite directions.

the initial distance between both trains is equal to 330 miles:

we want to know when the trains will meet each other:

The trains will meet each other when the sum of their traveled distance is equal to the initial separation between them.

the distance traveled by the train A is equal to his velocity multiplied by the time that passed since it departed.

this is: Da(t) = (50*t)mi

and the distance for the train B is: Db(t) = (60*t)mi

then, as we know, the trains will meet when Da(t) + Db(t) = 330mi

then 50*t + 60*t = 330

110*t = 330

t = 330/110 = 3h

the trains will meet 3 hours after they departed.

you can find the midpoint of a line segment using paper folding constructions
A.True
B.False

Answers

The answer should be true

Hope it helps

The midpoint of a line segment using paper folding constructions yes it is true.

What are paper folding constructions?

Comparable to mirroring one side of a plane in a crease, folding paper. So, to fold is to map one half of a plane onto another while also creating a crease.

The steps used to create a mid-point are given below:-

1. The top of the paper lies in itself; hence, we can say that the line segment lies in itself.

2. You have a new line at the centre of the paper. The point at the top of this centre line is the midpoint of the line segment.

3. The edges that lie on each other translate to the endpoints lying on each other.

Therefore, the midpoint of a line segment using paper folding constructions yes it is true.

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plzzz help
2.-A line has an x-intercept of (4, 0) and a y-intercept of (0, 12). Find the slope of the line.
________________________________________
3.-A horizontal line includes the points (0, -5 ) and ( 2, -5 ) Find the slope of the line.

Answers


[tex] \frac{y2 - y1}{x2 - x1} = slope[/tex]

Problem #1
your going to need two points from the line to solve this. (use #3 as example)

Problem #3

x¹= 0, x²= 2
y¹= -5, y²= -5

Solving for the "y" portion
-5 - -5 = -10

Solving for the "x" portion
2-0 = 2

"y" a portion goes on top, "x" portion goes on bottom making it -10/2 which simplifies to -5.

ANSWER:
The Slope is -5

Answer:

A.(0, –5)

Step-by-step explanation:

Lily's car has a fuel efficiency of 888 liters per 100 kilometers.
What is the fuel efficiency of Lily's car in kilometers per liter?

Answers

12.5 kilometers per liter

Answer:

12.5

Step-by-step explanation:

17 bundles of 10 straws how how many straws did she bundle in all

Answers

17 bundles of 10 straws each leaves us with 17 * 10 = 170 pieces of straw

Using mathematical operations we know that 170 straws were used in all.

What are mathematical operations?In mathematics, an operation is a function that converts zero or more input values into a discrete output value. The number of operands in the operation determines how difficult it is. The order of operations refers to the rules that outline the sequence in which certain operations should be carried out in order to solve an expression. The following is the order of operations: parentheses, exponents, multiplication, division (from left to right), addition, and subtraction. PEMDAS (from left to right) (from left to right).

So, the total straws used:

Bundles are 17 and the straw used in each bundle us 10.

Then, calculate as follows:

17 × 10170

Therefore, using mathematical operations we know that 170 straws were used in all.

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A furniture company currently produces 7500 chairs per month if production decreases 5% find the amount of decreases and the new number of chairs produced each month

Answers

here is your answer....

The new number of chairs produced per month is 7125

To find the amount of decrease:

Calculate 5% of 7500 chairs: 7500 x 0.05 = 375.

The decrease is 375 chairs.

To find the new number of chairs produced:

Subtract the decrease from the original amount: 7500 - 375 = 7125.

The new number of chairs produced per month is 7125

There are 12 people in maggies book club if 18 muffing are divided evenly among each person, how much muffin would each person get?

Answers

They'd each get one and a half.

Perform the indicated operations: (2/x-2)+(x/x+9)-(x+20/x^2+7x-18)

Answers

Answer:

b second option

Step-by-step explanation:

just did on edge

Answer:

B

Step-by-step explanation:

Just did it

Solve 24>−3r≥−9. please help

Answers

[tex]24 > -3r\geq-9\ \ \ \ |\text{change the signs}\\\\-24 < 3r\leq9\ \ \ \ |\text{divide both sides by 3}\\\\\boxed{-8 < r\leq3}[/tex]

Inequalities are used to represent unequal expressions.

The solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]

Given

[tex]24>-3r \ge -9[/tex]

Divide through by -3

[tex]\frac{24}{-3}>\frac{-3r}{-2} \ge \frac{-9}{-3}[/tex]

Negative division changes the inequality sign

So, we have:

[tex]-8<r \le 3[/tex]

Hence, the solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]

See attachment for the graph of [tex]-8<r \le 3[/tex]

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if you get the answer to all of them ill mark you brainliest even if its wrong

Identify the slope and y intercept for each question

1. (-5,4), slope = - 7/5

2. M= 1, (-1,5)

3. y = 5/4x-8

4. y+1=1/4(x-4)

5. y+12=5(x+2)

6.y+5=-2/5(x-5)

7. (-2.19) and (-1,14

8. (3,0) and (4,2)

9. y=-5/4 (x+4)

10. (5,0), slope =-4/5

Answers

I'm so sorry if these are wrong...

1. y=-7/5x-3

2. y=1x+6

3. y=5/4x-8

4. y=1/4x-2

5.y=-5x-2

6. y=-2/5x-3

7. y=5x+19

8. y=2x-6

9. y=-4/5x-5

10. y=-4/5x+4

Carrie has 140 coins. She has ten times as much coins as she did last month. How many coins did carrie have last month

Answers

Last month, Carrie had 14 coins.

x-5≥ 9 need answer plsss

Answers


[tex]x \geqslant 14[/tex]

Add 5 to both sides.

x−5+5≥9+5

Answer: x≥14

4 gallons of shampoo will last 3 weeks and 7 gallons of shampoo how munch more does for 12 weeks

Answers

1. 7 gallons of shampoo will last 5 weeks and 1/4 of another week.
2. 16 Gallons of shampoo will last 12 weeks.

Work Shown
----------------------

0.75 (How much per gallon) × 7 (Gallon of shampoo) = 5.25 (Weeks
0.75 × 16 (How much gallons for 12 weeks) = 12 (Weeks.)

Feel free to drop a follow if I helped~!

How long will it take you to drive 120 miles at a speed of 15 per hours

Answers

All we have to do is divide 120 by 15

120 ÷ 15 = 8

Therefore, it will take 8 hours to drive 120 miles at a speed of 15 mph

Hope this helps

-AaronWiseIsBae

15miles = 60minutes

divide 15 by 120 which equals 8

8 times 60 equals 480

your answer should be 8 hours


PLEASE HELP!!! 28 Points!!!
I need to have this for a discussion!

Create an equation taking 2 or more steps to solve. Explain how the algebraic properties are applied in the steps to solving equations and use them to solve your equation.

Answers

3x+5x=8
add the x values
8x=8
to isolate 8x you have to divide 8 on both sides
8x÷8=8÷8
8÷8=1 and x is equivalent to one so
x=1

Which graph represents the inequality y > 3 − x ?

Answers

To solve this problem you must think in this way.

First we see that function y is greater than 3-x, conclusion is the following

shaded area must be above function. That condition is satisfied by the graph 3 and 4.

Then we write inequality in the slope form  y> -x+3.

We see that the coefficient of direction is -1 (negative) which mean that the graph is decreasing. That condition is satisfied by the graph No 4.

The correct answer is graph number 4 ( or D.)

Good luck!!!

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