In a 50-question test, the highest score in the class is three times the lowest score minus four. The difference between the highest score and the lowest score is 30. What is the highest score?

Answers

Answer 1

that's hard to answer to be honest with you.

Answer 2

Final answer:

The highest score on the test is 47, found by setting up and solving a system of equations based on the information given in the question.

Explanation:

The problem described in the question can be solved using algebra. Let's denote the highest score as H and the lowest score as L. According to the question, we have two equations:

H = 3L - 4 H - L = 30.

We can solve this system of equations step by step. Since both equations have H, they can be set equal to each other: 3L - 4 = 30 + L. If you simplify this equation by subtracting L from both sides, you get 2L - 4 = 30. Then add 4 to both sides to isolate 2L on one side: 2L = 34. Divide both sides by 2, to solve for L: L = 17. Then substitute L into one of your original equations (H = 3L - 4), so H = 3*17 - 4 = 51 - 4 = 47. So, the highest test score is 47.

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Related Questions

7.9 * 10^7 +6.58*10^6=

Answers

give me one second and I'll have you an answer

16580000.Hope this helps!

Is the answer to -8.8-3.4 positive or negative? I know. It is 12.2 but I don't know if it's -12.2 or +12.2

Answers

It is negative.

When you subtract a negative a positive number from a negative number, the result is positive. The equation can be rewritten as -8.8-(+3.4).

Kevin is 14 inches taller than George. The difference between Kevin and Richard is two inches less than between Richard and George. Kevin at 6'6" is the tallest. How much tall are Richard and George?

Answers

1 foot is 12 inches which makes 14 1.2

6.6-1.2= 5'4 george

richard is 6'0

Richard is 6'1" and George is 5'11" tall.

To calculate Richard and George's heights, we start with Kevin being 6'6" and 14 inches taller than George, meaning George is 5'4".

The difference between Kevin and Richard is 2 inches less than between Richard and George, making Richard 6'1" and George 5'11".

Paint costing $19 per gallon is to be mixed with thinner costing $3 per gallon. How much of each should be added to make 16 gallons of a mix that costs $14 per gallon?

Answers

Final answer:

To make a 16-gallon mix that costs $14 per gallon from a paint costing $19 per gallon and a thinner costing $3 per gallon, you need approximately 11.56 gallons of paint and 4.44 gallons of thinner.

Explanation:

This is a problem of Mathematics, specifically Systems of Equations. Let's denote the amount of paint as P (in gallons) and the amount of thinner as T (in gallons). We are looking for the values of P and T that satisfy these two conditions:

P + T = 16 (The total volume of the solution should be 16 gallons)19P + 3T = 14 * 16 (The total cost of the solution should be $14 per gallon)

This gives us two equations,

P + T = 1619P + 3T = 224

Now, you can subtract the first equation from the second to solve for P,

18P = 208, therefore P = 208/18 = 11.56 gallons. Substitute P = 11.56 into the first equation to solve for T, T = 16 - 11.56 = 4.44 gallons. So, approximately 11.56 gallons of paint and 4.44 gallons of thinner should be mixed to get the desired 16-gallon mixture.

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To find the amounts of paint and thinner needed to make a $14 per gallon mix by mixing two different-priced liquids.

Mathematically, this problem can be solved using a system of equations.

Let x be the gallons of paint and y be the gallons of thinner. We have two equations based on the given information:

x + y = 1619x + 3y = 14 * 16

Solving this system of equations will give you the amounts of paint and thinner that need to be mixed to achieve a $14 per gallon mix.

Solve for x. 3x−82=x−6

20 Points

Answers

3x-82 = x-6

subtract 1 x from each side

2x -82 = -6

add 82 to each side

2x = 76

divide both sides by 2

x = 76/2 =38

x = 38

Check:

3(38)-82 = 38-6

3*38 = 114, 114-82 =32 and 38-6 = 32 32 = 32 TRUE

What is an even radicand in Algebra 2/ Trig? Please provide an example as well.

Answers

I'm pretty sure it is the number under the square root sign. √4 so the number four is an even radicand.

What is the product of 5 + 2i and 7 + 3i?

Answers

I is equal to negative 1
1) 5-2i or 5-2
2) 7-3i or 7-3

(5+{2xi}) x (7+{3xi}) = 29+29i

Find three consecutive even numbers that have a sum of 36

Answers

Formula:

x + (x +2) + (x +4) = 36

Solving:

3x + 6 = 36
3x = 30
x = 10

10,12,14

Hope this helps!

What times what equals 0.59??

Answers

2 X .295= .590

2 can go into .590 .295 times.

One of the multiple answers is:
4 x 0.1475= 0.59

A decimal that contains digits that continue forever in a pattern is called a(n) ____ decimal

Answers

repeating decimal because it goes on for ever

A decimal that contains digits that continue forever in a pattern is called a repeating decimal

Container A is 13 inches by 19 inches. by 25 inches.Container B is 13 inches by 13 inches by 31 inches.In cubic inches,how much greater is the volume of Container A.

Answers

calculate thevolume of each container and then subtract the values.
volume of container A = 13*19*25 = 6175 in^3
volume of container B = 13*13*31 = 5239 in^3
container A is greater by 6175-5239 = 936 in^3 than container B

Identify the rate that does not belong with the other three. Justify your response

4.5 feet per second

112.5 in 25 seconds

86.4 feet in 18 seconds

54 feet in 13 seconds

Answers

4.5 ft per second doesn't fit with the others.

The other three are similar because they are all in the unsimplified format of distance in a period of time, while the first one is just a simplified rate that could be used to multiply easily.

4.5 feet doesn't fit with the others

Chloe wants to cut a 37 in. piece of ribbon into three pieces. The second piece is to be 2 in. longer than the first, and the third piece is to be 3 in. longer than the second. How long will each of the pieces be?

Answers

1st piece = x

2nd piece = x+2

3rd piece = x+2+3 = x+5

37 = x +x+2 + x+5 =

37 = 3x+7

30=3x

x = 30/3 = 10

1st piece = 10 inches

2nd piece = 10+2 = 12 inches

3rd piece = 10+5 = 15 inches

Angie is wrapping a present for her best friend. The box is 16 inches long, 12 inches wide, and 3 inches high. How many square inches of wrapping paper does Angie need for her present

Answers

Alright, you will need to find the areas of 3 of the sides(i.e. Top/Bottom, Left/Right, Front/Back), to do so let's go through multiplying these:

Since we're not looking for the Volume, we'd just multiply one variable by another, for instance:

Bottom = Length * Width
x = 16 * 12 | 16 * 12 = 192

Left = Length * Height
x = 16 * 3 | 16 * 3 = 48

Front = Width * Height
x = 12 * 3 | 12 * 3 = 36

Now that we know 3 of the sides, we then multiply each by 2 since there's another side to this box(in other words, we'd be adding both sides together, multiplying it by 2 still gives you the same answer though).

Bottom + Top, or Bottom * 2
192 + 192 = 384 | or | 192 * 2 = 384

Left + Right, or Left * 2
48 + 48 = 96 | or | 48 * 2 = 96

Front + Back, or Front * 2
36 + 36 = 72 | or | 36 * 2 = 72

Adding these together gives you the answer you're looking for. ^ ^
384 + 96 + 72 = 552

So, the answer should be that Angie needs 552 square inches of wrapping paper for her present. I hope that helped, have a great rest of your day!
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What value represents a number 10 times as great as 581,000?

Answers

The number would be 10*581,000 or 5,810,000

A cashier has only one-dollar bills, quarters, and dimes. List all the ways you could receive $2.50 in change

Answers

2 one dollar bills and 2 quarters

josh is inviting his friends to a party. he has 42 granola bars and 56 fruit drinks, and he wants to give the same number of each item to each friend.

Answers

The number of maximum guests is the greatest common factor (GCF) of 42 and 56.The number is 7.Each guest gets 6 bars and 8 drinks.

Answer:

Number of granola bars that Josh gave to each of his friend =3

Number of fruit drinks that Josh gave to each of his friend =4

Step-by-step explanation:

Number of granola bars with Josh = 42

Number of fruit drinks with Josh = 56

He wants to give the same number of granola bars and fruit drinks to each friend.

To find : Number of granola bars and fruit drinks Josh give to each friend.

First, find HCF of 42 and 56 .

[tex]42=2\times 3\times 7\,,\,56=2^3\times 7[/tex]

Therefore, HCF ( 42, 56 ) = Highest common factor of 42 and 56 = 14

Number of granola bars that Josh gave to each of his friend = Number of granola bars with Josh / HCF ( 42, 56 )

= 42/14 = 3

Number of fruit drinks that Josh gave to each of his friend = Number of fruit drinks with Josh / HCF ( 42, 56 )

= 56/14 = 4

what is the slope of the line determined by the cordinates (2,3) and (-6,-4)

Answers

Slope equals the change in y over change in x, or rise over run.

-4-3 / -6-2
-7/-8
7/8

Final answer: 7/8

Approximate √39 to the nearest whole number

Answers

36 < 39 < 49

√36 < √39 < √49

6 < √39 < 7

√39 ≈ 6

Ethan wrote the number four million,three hundred five thousand, seven hundred sixtu-two as 4,350,762.Describe and correct his error.

Answers

He wrote 350 thousand instead of 305 thousand

his error was that for the 4,350,762 350 part he was supposed to write 4,355,762 because the word problem said four million, three hundred fifty five thousand, seven hunfred sixty two and not 4,350,762

1\4 15\100 is it >,<, or =

Answers

1/4 = 25/100

25/100 > 15/100

hope this helps

If 2x2 - x + 6 is subtracted from x2 + 3x - 2, the result is

x² + 2x - 8
x² - 4x + 8
-x² + 2x - 8
-x² + 4x - 8

Answers

x^2 + 3x - 2 - (2x^2 - x + 6) =
x^2 + 3x - 2 - 2x^2 + x - 6 =
-x^2 + 4x - 8 <===

Answer:

x^2 + 3x - 2 - (2x^2 - x + 6) =

x^2 + 3x - 2 - 2x^2 + x - 6 =

-x^2 + 4x - 8

the answer is 8

The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.

Answers

the vertex form of the function gives the vertex as (-6,48). The vertex of f(x)=x^2 is (0,0) so from this information, the vertex is moved LEFT 6 and UP 48. This cancels out two options. The coefficient -3 tells us that the graph is flipped or reflected over the x-axis (negative sign flips graph) and that all y-values will be 3 times as large. Larger y-values for the same x inputs makes the graph narrower.

If you have 110 dollars and you rent a car that charges you 20 cents per mile, how many miles can you travel?

Answers

110/.20
550

Hope this helps!

I'm not sure but I think you take 110/20 = 5.5

You can check it by taking 5.5 *20 = 110

Which is true of a geometric plane? A) one-dimensional B) two-dimensional C) three-dimensional Eliminate D) no dimensions, only position

Answers

A geometric plane is two-dimensional. Standing at one point in the plane and picking two directions to travel which are not opposites of one another, any direction of travel on the plane can be obtained by composing these two directions. Since it is two directions, the plane is two-dimensional. There is a way of describing this also using algebra. The general equation for a plane is ax + by + c = 0. For example, when a = 2, b = 3, and c = 4, the equation 2x + 3y = 4 is that of a plane. Since there are two variables here, x and y, the plane is two-dimensional.

The geometric plane is two-dimensional since there are two variables.

A geometric plane is a plane which is a flat surface.

The general equation of a plane is :

ax + by + c = 0

Here x and y are variables.

Since there are two variables, the plane is two dimensional.

Or in other words, there are two directions for the plane.

So the geometric plane is two-dimensional.

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Students use a balance to determine the mass of a marble in 7.5 G of graduated bottle contains 10 milliliters of water when the marble is carefully lowered into the granulated bottle and is completely covered with water the volume of the water containing the marble has increased to 12.5 ml what is the density of the marble

Answers

The volume of the marble = increase in volume of the water = 12.5 - 10 = 2.5 grans.

Denisty of the marble = mass / volume = 7.5 / 2.5 = 3 grams/millimeter.

Answer:

3 g/ml

Step-by-step explanation:

After the marble was introduced into the graduated bottle, the volume change from 10 ml to 12.5 ml, this means that 12.5 - 10 = 2.5 ml is the volume occupied by the marble.

The mass of a marble is 7.5 g.

Density is defined as follows:

density = mass / volume =

Replacing with the measures:

density = 7.5/2.5 = 3 g/ml

record the product 8x43 using expanded form to help

Answers

40×8=320[ 8×3=24 ]320+24=344

Tell me whether the expressions in each pair are equivalent... Please i beg Someone to answer this!

1. 6m+1 and 1x6+m
2. 9y and 9+y
3. mp+nq and mq+np
4. -(5-q) and 9-5
5. 8-4c and 4c-8
6. 3(5+z) and 15+2

Pls put down your answer in form!

Answers

1. 6m+1 & 1x6+m both = 6m+1

Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° counterclockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?

Answers

Refer to the diagram below

Rotating point C (3, -2) anticlockwise 90° around the origin resulting in C' (2, 3)

I'm learning about Equivalent systems of equations, please help!

Answers

OK to solve this, we have to solve each system presented through elimination or substitution and find which one is equivalent to that of the teacher's!

First let's solve for the teacher's:
-2x+5y=10
-3x+9y=6
Solve by substitution (I think elimination might be easier to do for this one, but I don't really remember 100% sorry!)
Isolate the x (or y) variable in the first equation
-2x+5y=10
-2x=10-5y
[tex]x= \frac{10-5y}{-2} [/tex]
Substitute x into the next equation and solve for y
-3(10-5y/2)+9y=6
3*10-5y/2+9y=6
(multiply both sides by 2)
3(10-5y)+18y=12
30-15y+18y=12
30+3y=12
3y=-18
y=-6

Substitute in x
x= -10-5(-6)/2
x=-20

TEACHER'S ANSWER (-20,-6)

GOKU
x-3y=-2
-2x+5y=-7
Do the same as above
Solve for x
x-3y=-2
x=3y-2
Plug in
-2(3y-2)+5y=-7
4-6y+5y=-7
4-y=-7
-y=-11
y=11

x=(3(11)-2)
x=31
GOKU'S ANSWER (31, 11)

SELINA:
-5x+14y=16
-3x+9y=12
One last time!! :)

-5x+14y=16
-5x=16-14y
x=(16-14y)/-5

-3(-(16-14y/5)+9y=12
3*16-14y/5+9y=12
3*16-14y+45y=60
48-42y+45y=60
48+3y=60
3y=12
y=4

x=-(16-14(4))/5
x=8
SELINA'S ANSWER
(8,4)

So neither Goku or Selina got the same answer as the teacher

Here I go

The teacher's system is
-2x + 5y = 10
-3x + 9y = 6

To find the system that equals to the teachers solution, we must solve all three of them. (Yeah good luck)

Let's start solving the teacher's system

We need to solve -2x + 5y = 10 for x
-2x + 5y = 10
-2x = 10 - 5y
Divide both sides by -2
-2x/-2 = (10-5y)/-2
x = 5/2 y - 5
Now we need to substitute 5/2 y -5 for x in -3x +9y = 6
We gonna replace 5/2 y -5 by x
-3x + 9y = 6
-3(5/2 y - 5) + 9y = 6
Simplify both sides (I used a calculator)
3/2 y + 15 = 6
3/2 y = 6 - 15
3/2 y = -9
To find y, we need to divide both sides by 3/2
3/2 y/3/2 = -9/3/2 (I used a calculator)
y = -6
It easier to find x since we already find y
So, let's find x by substitute -6 for y in x=5/2 y - 5
What does that mean? We gonna replace the value of y which is -6 everywhere we find y (I hope it makes sense)
x = 5/2 y - 5
x = 5/2 (-6) - 5 (use a calculator)
x = -20

Therefor,
x = -20 and y = -6
This is the teacher's solution so we gonna solve the others and see what they have :)

----------------------------------------------
Selina's system

-5x + 14y = 16
-3x + 9y = 12

So, we need to solve -5x + 14y = 16 for x
-5x + 14y = 16
-5x = 16 - 14y
Divide both sides by -5
-5x/-5 = (16 - 14y)/-5
x = 14/5 y + -16/5 (It looks messy here)
To continue, we need to substitute 14/5 y + -16/5 for x in -3x + 9y = 12
-3x + 9y = 12
-3( 14/5 y + -16/5) + 9y = 12
Simplify both sides
3/5 y + 48/5 = 12
3/5 y = 12 - 48/5
3/5 y = 12/ 5
To find y, we just need to divide both sides by 3/5
3/5 y/3/5 = 12/5/3/5 (cancel 5, then divide 12 by 3 = 4)
y = 4
We gonna use the value of y to find x
We gonna do that by substitute 4 for y in x = 14/5 y + -16/5
x = 14/5 y + -16/5
We gonna replace y by 4
x = 14/5 (4) + -16/5 (used a calculator)
x = 8
Therefore,
x = 8 and y = 4
So, Selina system doesn't equal to the teacher's system.
-----------------------------------
Goku's system

again, I used the same steps to solve all of them.

x - 3y = -2
-2x + 5y = -7

We need to solve x - 3y = -2 for x
x - 3y = -2
x = -2 + 3y
I prefer to let the unknown value leads, so it will be
x = 3y - 2 (it still the same thing :) )
Substitute 3y - 2 for x in -2x + 5y = -7
-2x + 5y = -7
-2(3y - 2) + 5y = -7
-6y + 4 + 5y = -7
-y + 4 = -7
-y = -7 - 4
-y = -11
We cannot leave the y with a negative sign, so we must divide both sides by -1
-y/-1 = -11/-1
y = 11
To find x, we need to substitute 11 for y in x = 3y - 2
x = 3y - 2
x = (3)(11)-2
x = 33-2
x = 31
Therefore,
x = 31 and y = 11
Goku's answer doesn't equal to the teacher's answer.

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

Answer : Neither Goku or Selina

I hope I helped!

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