Mathematics Middle School

Alan needs 36 quarts of paint to paint the basement of his house. If 1 gallon is equal to 4 quarts, how many gallons of paint should Alan buy?
4 gallons

9 gallons

18 gallons

36 gallons

Answers

Answer 1
I believe it's 9 gallons 36/4=9.
Answer 2
Salutations!

To find how many gallons of paint Alan should buy, you need to cross multiply.

1 gallon - 4 quarts

 ?           - 36 quarts

[tex]36*1/4 [/tex]

[tex]36*1=36[/tex]

[tex]36/4=9[/tex]

Allan needs to buy 9 gallons of paint.

Hope I helped (:

have a great day!

Related Questions

5x=-5x-10 solve for x

Answers

Add 5x to both sides
10x=-10

Divide both sides by 10
x=-1

Final answer: x=-1

The answer is x=-1.

Add 5x on both sides.

10x=-10

Divide both sides by 10.

x=-1.

Jennifer has started a blog and is using the bar chart below to keep track of how many followers she has, how many followers will she has on day n, pattern is adding 2 followers every day, what would be the rule ?

Answers

well if d = day and n=number of folowers 
n= d+2

Answer:

2n - 1, where "n" is the number of days.

Step-by-step explanation:

By looking at the bar graph.

We list the following information.

Day           The number of followers

1                            1

2                          3

3                          5

4                          7

So, the number of followers increase by 2 each day passes.

This is an arithmetic sequence.

The sequence is 1, 3, 5, 7.....

So the rule [tex]a_n = a_1 + (n -1)d[/tex]

This is the n-term of the arithmetic sequence.

Here [tex]a_ 1 = 1 and d = 2[/tex] and n is the number of days.

Plug in these values in the above sequence, we get

The general rule = 1 + (n -1)2

= 1 + 2n-2

= 2n - 1

So the general rule = 2n - 1

three things at the park that can show the angle of rotation with degrees?

Answers

1.) The Enterprise:
Mass of G (for rider) = 70 kg  
Rope length L2 (PG) = 2 m 
Wheel radius r (OP) = 8 m
θ = 1.4 radians (80°) 
Wheel spin rate ws = -1.6 rads/sec 
Precession rate wp = 0 rads/sec 
Arm length L1 (AO) = 0 m

2.) The Spin Out:
Precession rate wp1 = -0.8 rads/sec 
Precession rate wp2 = 0 rads/sec 
Wheel spin rate ws = -1.6 rads/sec 
Elbow CBO spin rate wa = 0.5 rads/sec 
Arm length L1 (AC) = 6 m 
Arm length L2 (CB) = 6 m
Arm length L3 (BO) = 1 m
Wheel radius r (OP) = 4 m
θ = 1.2 rads (70°) 
dθ/dt = 0 
ϕ = 3.14159 rads (180°) 
ψ = 1.57079 rads (90°) 
Gravity is pointing in direction 6 (the -z direction) 

3.) The Orbiter:
Precession rate wp1 = -1.6 rads/sec 
Precession rate wp2 = 0 rads/sec 
Wheel spin rate ws = -0.8 rads/sec 
Arm length L1 (AC) = 4 m
Arm length L2 (CO) = 2 m 
Wheel radius r (OP) = 2 m
θ = 1.9 radians (110°) 
dθ/dt = 0 
ϕ = 0.35 (20°) 
Gravity is pointing in direction 6 (the -z direction) 

List the factors in decimals in order from least to greatest 0.5 3/16 0.75. 5/48

Answers

5/48
3/16
0.5
0.75

This is listen in least to greatest...

The perimeter of a rectangle is 54cm. One side is x cm long and the other is 6cm longer. Tre length is x+6 and the side is x so how to form this equation involving x and the answer of the length of each side.

Answers

.The answer would be 
.123.4234
.Hope this helps and have a wonderful day!

Lisa is 12 centimeters taller than her friend Ian. Ian is 16 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 8 months, the sum of Ian's and Jim's heights will be 170 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian'a height today in centimeters.

(h+16)+(___)+16=(___)+170

Ian is _ centimeters tall now.

Answers

Ian is 152 centimeters.

Which property justifies this statement?

If 4x=20, then x=5.

A . Subtraction Property of Equality

B . Division Property of Equality

C . Reflexive Property of Equality

D . Substitution Property of Equality

Answers

The answer is B, because you need to divide 20 by 4 and you will get 5

The correct answer is:

B . Division Property of Equality

Explanation:

The original equation is 4x = 20.  To solve this, we would cancel the 4.  Since the variable, x, has been multiplied by 4, we cancel it by dividing:

4x/4 = 20/4

x = 5

This is the division property of equality; we can divide both sides of an equation by the same number and preserve equality.

One state leads the country in tart cherry production, producing 74 out of every 100 tart cherries each year.

A. What percent of cheeries are produced in the state.

B. What percent are not produced in the state

Answers

A. The percent of cherries that are produced in the state is calculated by dividing the number of cherries produced in the state by the total number of cherries and multiplying the quotient by 100%.
          r = (74 / 100) x 100%  = 74%

B. The percent of cherries not produced in the state is equal to difference of the 100 and the answer in letter A. This is shown below.
            s = 100% - 74%   
             s = 26%. 

write two odd numbers and even numbers explain how you know which numbers are even and which are odd

Answers

2 and 4 are even numbers because they match 3 and 5 are odd because they don't have a pattern

Final answer:

An even number is divisible by 2, while an odd number is not. Examples of even numbers are 8 and 10, while examples of odd numbers are 17 and 21.

Explanation:

An even number is a number that is divisible by 2, while an odd number is not divisible by 2.

For example, 2, 4, and 6 are even numbers because they can be divided by 2 without leaving a remainder. On the other hand, 3, 5, and 7 are odd numbers because they cannot be divided by 2 without leaving a remainder.

So, two examples of even numbers could be 8 and 10, while two examples of odd numbers could be 17 and 21.

(0.6)2, (-0.3) + (-0.06), |-3 + 2.64|, -(-0.36) ,2x - 0.64x which is equivalent to 036

Answers

 -(-0.36), since the negatives cancel out.

Irrational numbers can never be precisely represented in decimal form. Why is this

Answers

because they never end nor do they repeat

pi never ends nor repeats
√2 never ends nor repeats

Team one had 4 times less people than team two. After 6 people quit team two and 12 people were transferred from team two to team one, both teams became equal. How many people were there in team one?

Answers

There was 10 people on team one. I just did process of elimination by going through numbers and trying them out. It would be 10 on team one and 40 on team 2. Take 6 off 40 to get 34 then switch 12 making both have 22.

Twice the difference of 3x and y increased by 5 times the sum of x and 2y

Answers

The answer is 2(3x-y)+5(x+2y).

4 times [(5 times 3) + (24 divided by 4)]

Answers

4((5x3) + (24/4))

4(15+6)

4(21)

= 84

Hope I helped :)

Answer:

Step-by-step explanation:

4 times (5 times 3) + (24 divided by 4)

4 times 15 + 6 (because 5 times three is 15, and 24 divided by 4 is 6)

60 + 6 (Multiplication first after parenthesis)

66 (The answer to 60 + 6)

Mr. Abernathy bought a selection of wrenches for his shop and paid $78. He bought the same number of $1.50 and $2.50 wrenches, and half of that number of $4 wrenches. The number of $3 wrenches is one more than the number of $4 wrenches. How many of each did he buy?

Answers

If the amount of $1.50 wrenches he buys is x, then 1.5x is the amount he pays for $1.50 wrenches since he pays another $1.50 for each wrench he buys of that cost. In addition he buys x amount of $2.50 wrenches, x/2 of 4$ wrenches (since x/2= half of x), and (x/2)+1 is the amount of 3$ wrenches. Adding them all up, we get 1.5x+2.5x+4(x/2)+3(x/2+1)=total cost=78. Since 4/2=2 and 3/2=1.5, we can add these up to get 4x+2x+1.5x+3=7.5x+3=78. Subtracting 3 from both sides, we get 7.5x=75 and by dividing both sides by 7.5, we get x=10. Therefore, Mr. Abernathy buys 10 $1.50 wrenches, 10 $2.50 wrenches, 10/2=5 $4 wrenches, and 5+1=6 3$ wrenches

The number of wrenches is 10 for which he paid $1.50, and $2.50. the number of wrenches is 5 for which he paid $4, and the number of wrenches is 6 for which he paid $3.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have:

Mr. Abernathy bought a selection of wrenches for his shop and paid $78.

Let's suppose:

The number of $1.50 wrenches is x

The number of $2.50 wrenches is also x

The number of $4 wrenches is x/2

The number of $3 wrenches is 1+x/2

Then linear equation becomes:

[tex]\rm 1.50x+2.50x+\frac{4x}{2} +3(1+\frac{x}{2} ) = 78[/tex]

[tex]\rm 3x+5x+4x +3(2+x ) = 156[/tex]

15x = 150

x = 10

The value of x = 10

=x/2 ⇒ 10/ 2 ⇒ 5

= 1+x/2 ⇒ 1+5 ⇒ 6

Thus, the number of wrenches is 10 for which he paid $1.50, and $2.50. the number of wrenches is 5 for which he paid $4, and the number of wrenches is 6 for which he paid $3.

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Bob had 6 1/2 qt of paint. He used 3 2/3 qt to paint a room How much paint does Bob have left?

Answers

 6 1/2 - 3 2/3 =

13/2 - 11/3 =

39/6 - 22/6 = 17/6 = 2 5/6 qts left

Answer:

2 5/6

Step-by-step explanation:

is 57 a composite number .true or false

Answers

Yep.

A composite number is one that is not prime. 57 is not prime because 57 has the factors of 1, 3, 19, and 57.
True.
A composite number is a number that has at least one divisor other than 1 and itself.

57 can be written as 3*19. t
Therefore, it is a composite number.

A 50​-inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.

Answers

1. Let
x = first piece
y = second piece
z = third piece

2. Arrange it into an equation
x + y + z = 50

3. The second piece is 4 times as long as the first piece so 4x = y.
The third piece is 5 times as long as the first piece so 5x = z

4. Now substitute the values
x + (4x) + (5x) = 50

5. Simplifying makes the equation into 10x = 50

6. Do the opposite of multiplying to get rid of the 10 which is dividing. Divide 50 by 10.
x = 50/10
x = 5

7. Now substitute x in 4x and 5x
4 * 5 = 20
5 * 5 = 25

8.
x = 5
y = 20
z = 25

Final answer:

To solve this problem, establish an algebraic equation that equates the sum of the lengths of the three pieces to the total length of the board. Solving this equation reveals that the first piece of wood is 5 inches, the second piece 20 inches and the third piece 25 inches.

Explanation:

This question represents a simple algebraic equation. Since the second piece is 4 times the length of the first piece and the third piece is 5 times the length of the first piece, the sum of these lengths should equal the total length of the board, which is 50 inches. Given that 'x' represents the length of the first piece, we can establish the following equation:

x + 4x + 5x = 50

This is because '4x' is the length of the second piece and '5x' is the length of the third piece. When you combine like terms, the equation simplifies to:

10x = 50

Upon solving this simplified equation, we find that 'x' or the length of the first piece of wood equals 5 inches. Therefore, based on the information provided, the length of the second piece would be 20 inches (4 times 'x') and the third piece would be 25 inches (5 times 'x').

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A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier would have to rent skis with either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily pass?

Answers

Let x be the number of days.

Daily pass:
65x + 30x
95x

Season pass:
400 + 30x

95x > 400 + 30x
65x > 400
x > 6.15

The number of days can't be 6.15, so you must round. You can't go down because then the price will be more expensive, so you have to round up.

It would take 7 days until the season pass is less expensive than the daily pass.
----------------------
You can check this by plugging in the x.

95x > 400 + 30x
95(7) > 400 + 30(7)
665 > 400 + 210
665 > 600
The daily pass is more expensive than the season pass.

Given ABC PQR, m < B = 3v +4, and m<Q = 8v -6, find m<B and m<Q
A.22
B.11
C.10
D.25

Answers

Since both triangles ABC and PQR are congruent, this means that measure angle B = measure angle Q

Therefore:
3v + 4 = 8v - 6
4 + 6 = 8v - 3v
10 = 5v
v = 10/5 = 2

Therefore:
measure angle B = 3v + 4 = 3(2) + 4 = 6+4 = 10
measure angle Q = 8v - 6 = 8(2) - 6 = 16-6 = 10
You will find that the two angles are equal due to the triangles being congruent as mentioned before

Answer

a.22

b.11

c.10

d.25

The answer is C. 10

You and your friend collect football cards. You tell your friend that you have 3 times the number of cards he has. Your friend replies that you only have 80 more football cards then he does. How many cards do you each have?

Answers

Easy I guess ..
I ll try to help ..
Here we go ..
The cards you have is N
The cards he has is n
you have 3 times the number of cards he has
This means N=3n
 you only have 80 more football cards then he does
This means N=n+80
But we already know that N=3n
So 3n=n+80
which is 2n=80
n=40
So your friend has only 40 cards and you have 3*40= 120 cards

Best luck

Wise

Help me on my math homework please

Answers

Number One:
One lawn mowed = 15 dollars earned
Two lawns mowed = 30 dollars earned
Three lawns mowed = 45 dollars earned
Four lawns mowed = 60 dollars earned
And so on, so yes, it is proportional.

Number Two:
Week one: 120 dollars
Week Two: 125 dollars
Week Three: 130 dollars
Week Four: 135 dollars
And so on, so yes, I believe it's proportional.

Lucas read 26 pages per hour so it's proportional. Brianna didn't have a proportional relationship. It went: 28, 30 and then 29 pages per hour for her.

Reading strategies? I don't know, focus more and you may be able to speed up the process

Patrick drove 220 miles to his grandmothers house. The trip took him 4 2/5 hours. What is his average speed in miles per hour.

Answers

50mph hope it helps good luck

144 divided by 8 is 18 what is it in distributive property

Answers

It is (1*8) + (10+8) which equals 144 by dividing it would be 144 divided by (1*8) which will give u 18. You can also do it the opposite way. Hope it helps :)

Someone help me please


Solve x^3=1/8
A. 1/2
B. ±1/2
C. 1/4
D. ±1/4

Answers

Find the cube root of both sides
∛x^3 = x

∛1/8= 1/2

Final answer: x= 1/2

The mass of the Rock of Gibraltar is 1.78 x 10^12 kilograms. The mass of the antarctic iceberg is 4.55 x 10^13 kilograms. Approximately how many more kilograms is the mass of the antarctic iceberg than the mass of the rock of gibraltar? SHOW YOUR STEPS AND WRITE YOUR ANSWER IN SCIENTIFIC NOTATION!! thanks

Answers

(4.55×10^13- 1.78×10^12)kg
=4.372×10^13kg
the iceberg is 4.372×10^13kg heavier than the rock.
or the iceberg is approximately 2.4 times heavier than the rock

Answer:

(4.55×10^13- 1.78×10^12)kg

=4.372×10^13kg

the iceberg is 4.372×10^13kg heavier than the rock.

or the iceberg is approximately 2.4 times heavier than the rock

Step-by-step explanation:

EXPLAIN YOUR ANSWER

5.
A set of equations is given below:

Equation A: c = 2d + 1
Equation B: c = 3d + 5

Which of the following is a step that can be used to find the solution to the set of equations? (5 points)



2d + 1 = 3d + 5
2d = 3d + 5
2d + 1 = 3d
2d + 5 = 3d + 1

Answers

Equation A: c=2d+1
Equation B: c=3d+5
2d+1=3d+5
-3d -3d
(subtract three to both sides)
-1d+1=5
-1 -1
(Subtract one to both sides)
-1d=4
(Divide negative one to both sides)
Answer:
d=-4

Answer:

The correct answer is 1. 2d + 1 = 3d + 5

Step-by-step explanation:

How do you compare and order real numbers

Answers

Real numbers are compared by distance from zero. So you have to convert numbers to decimals to find which number is greater. 

Daniel has lots of pets. He has four more goldfish than he has turtles. He has one less canary than goldfish. Six of his pets are birds(canaries and parrots). He has two parrots. How many pets does Daniel have. (Show with work)

Answers

2 parrots
6-2=4 canaries
4+1=5 goldfish
5-4=1 turtle

2+4+5+1= 12 pets

Daniel has [tex]16[/tex] pets.

Since six of his pets are birds(canaries and parrots and he has two parrots, therefore, he has (6 - 2) = 4 canaries.

Since he has one less canary than goldfish, therefore the number of goldfish is (6 + 1) = 7 goldfish

Since he has four more goldfish than he has turtles, the number of turtles are: = ( 7 - 4) = 3

Therefore, the total number of animals will be:

= Parrot + Canary + Goldfish + Turtle

= [tex]2 + 4 + 7 + 3[/tex]

= [tex]16[/tex]

Therefore, he has [tex]16[/tex] pets.

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factorise completely:
12a+8b

Answers

12a + 8b....common factor is 4
4(3a + 2b) <==

The factorization of given expression is 4(3a+2b).

What is factorization?

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given expression is 12a+8b.

In the given expression there are two terms 12a and 8b

Now, 12a=2×2×3×a and 8b=2×2×2×b

So, from both the terms common is 2×2=4

Thus, 4(3a+2b)

Therefore, the factorization of given expression is 4(3a+2b).

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