Mathematics Middle School




Read the following statements:
I. All trapezoids have two pairs of parallel sides.
II. All trapezoids have two pairs of equal angles.
III. All trapezoids have one pair of parallel sides.
Which of the above statements are true?
II and III only
III only
I and II only
II only

Answers

Answer 1
III only is the correct answer
Answer 2

the answer is all trapezoids have one pair of parallel sides.




Related Questions

the exact radius of a circle with circumference 36 meters

Answers

The circumference is equal to the diameter (two radius)times pi so the circumference is 36 meters you would need to divide by pi to find the diameter then divide this number in half to get the radius.

Mr. Welch bought 24 ft of fencing.

How many yards of fencing did he buy? (1 yd = 3 ft)

Answers

1 yard = 3 feet

 divide 24 feet by 3 feet to get yards

24 / 3 = 8 yards

If Mr. Welch bought 24 ft. of fencing and 1 yd. is equal to 3 ft., then what we would do is divide 24 by 3 which equals 8. Therefore, he bought 8 yd. of fencing.

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil. If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?

Answers

What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.

What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?

Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L

Now, add both synthetic oil and natural oil to find amount of petrolyn oil.

355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil

PLEASE HELP ME.
Show Work.
Use two unit multipliers to convert 70 meters to inches.

Answers

70 m * (100cm)/(1m) * (1 in)/(2.54 cm) = 2755.9 in
.
Rough check, 1 m = 39.36 in approx , 70*39.36 = 2755.2


I think that's how it's done. As far as explaining it goes, I can't do that. I had to ask my math teacher and she wrote the calculations down.
Final answer:

To convert 70 meters to inches, use the unit multiplier method. 70 meters is equal to 2755.91 inches.

Explanation:

To convert meters to inches, we can use the unit multiplier method. There are two unit multipliers we can use:

1 meter = 39.37 inches and 1 inch = 0.0254 meters.

Start with the given quantity of 70 meters.Multiply by the unit multiplier 39.37 inches / 1 meter. This will cancel out the meters and leave us with the equivalent value in inches.Multiply the result by the unit multiplier 1 meter / 0.0254 inches. This will cancel out the inches and convert the value back to meters.Simplify the expression to find the final answer.

Therefore, 70 meters is equal to 2755.91 inches.

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What is 24 divided by 1272

Answers

the answer is 0.0188679245  
Rounded to the nearest hundredth: 0.02
0.01886792452 is the answer

Rewrite the expression with parentheses to equal the given value 12+6÷2+4 value 13

Answers

This is what I got,it works

5 different mixed numbers that add up to 10 with only 3rds and 4ths

Answers

1 1/3
2 2/3
1 2/4
3 1/4
1 1/4

The Hamptons family has a fish tank holding 10,450 ml of water.The water is leaking at a rate of 270 ml per minute.

Part A: Define the input and output in the given scenario.


Part B: Write a function to model this situation.


Part C: How many liters of water will be left in the tank after 10 minutes.?





Answers

A: f(x) is output; x is input

B: f(x)=10450-270x

C: f(10)=10450-270(10)=7750 ml of water
The output would depend on the input so relating this to the question, the input is the time (in minute) and the output is the amount of water left in the tank

We can give a letter 't' for the time, the input, and f(t) for the output

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

The original amount of water in the tank is 10450, so this will be the fixed constant.
The amount of water lost per minute is 270 so this will be the term that varies depends on the variable of time, we write this as 270t

The function is given f(t) = 10450 - 270t
--------------------------------------------------------------------------------------------------------------

Given, t = 10
f(10) = 10450 - 270(10)
f(10) = 7750 ml

Bruno's hourly salary is 6.75. Last Week he worked a 20 hour week. How Much did he earn

Answers

6.75*20=135. He earned $135. 
Simple equation should do the trick.

Bruno makes 6.75 per hour that can be represented by the following; h being the variable for "hours" hence, the h.

6.75h
Las week he worked 20 hours,  so plug that in for h

Like so ;

6.75(20) = How much $ Bruno made
135 = how much $ Bruno made

So Bruno made 135$ last week.


Answer This Problem,Please! :D
Type the integer that makes the following subtraction sentence true:

*blank*– 5 = -6

Answers

-1 is the answer because if you go back on a number line you will get -6.
You're solving for x.

x - 5 = -6

x - 5 + 5 = -6 + 5

x = -1

-1 - 5 = -6


Simplify:

4p + 12 – 3q – 4p – 18 + 6q
A. 8p + 3q – 6
B. 8p – 3q + 6
C. 3q + 6
D. 3q – 6

Answers

Hi Grace!

4p + 12 - 3q - 4p - 18 + 6q
Combine like terms
4p - 4p + 12 - 18 - 3q + 6q
= -6 + 3q

The correct answer is option D

The simplifying value of the expression is,

⇒ 3q - 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4p + 12 - 3q - 4p - 18 + 6q

Now,

Simplify the expression as;

⇒ 4p + 12 - 3q - 4p - 18 + 6q

⇒ 4p - 4p - 3q + 6q + 12 - 18

⇒ 0 + 3q - 6

⇒ 3q - 6

Thus, The simplifying value of the expression is,

⇒ 3q - 6

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A trough is 12 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 13 ft3/min, how fast is the water level rising when the water is 8 inches deep?
I have been getting 13/30, but apparently, that is wrong?

V=.5 * h * l * b

Because of similar triangles:
b = 5h (b/h = 5/1)
l = 12

V = .5 * h * 5h * 12
V = 30h^2
(dV/dt) = 60 h (dh/dt)

dV/dt = 13
h = .5 (because this is in feet)

13 = 60*.5(dh/dt)
13/30 = dh/dt

Answers

im confused can u teach me how to do this stuff 
Final answer:

The rate at which the water level is rising when the water is 8 inches deep in the trough is 13/30 ft/min.

Explanation:

To find how fast the water level rises when the water is 8 inches deep, we need to use the equation V = 30h^2, which represents the volume of the trough as a function of its height h. We are given that the trough is being filled at a rate of 13 ft^3/min, so we can set dV/dt (the rate of change of volume) equal to 13.



Substituting the given values into the equation dV/dt = 60h * dh/dt, we get 13 = 60 * h * dh/dt. Since h = 0.5 (in feet), we can solve for dh/dt which turns out to be 13/30 ft/min.



Therefore, the water level is rising at a rate of 13/30 ft/min when the water is 8 inches deep.

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If there are 1000 grams in a kilogram and 454 grams in a pound, how many pounds are there per kilogram?

Answers

Answer:2.2 pounds per kilogram

Step-by-step explanation:

454gram = 1 pound

since; 1000g = 1kg

454g = x

x= 454/1000

x=0.454kg

there is 0.454kg in 1 pound

but the question says how many pound is in 1kg

0.454kg = 1 pound

1 kg = x

cross multiply

0.454x = 1

Divide bothside by 0.454

x = 1/0.454

x = 2.2 pound

Therefore; there are 2.2pounds in 1 kilogram.

There are 2.20 pounds are there per kilogram

Given that,

1 kg = 1000 gm

1 pound = 454 gm

Since we know that,

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Since,

1 pound = 454 gm

Therefore,

⇒ 454 gm = 1 pound

⇒       1 gm = 1/454 pound

And since,

1 kg = 1000 gm

       = 1000x(1/454) pound

       = 2.20 pounds

Hence,

1 kg = 2.20 pounds

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the temperature at 6:00AM was 0.8F. BY. 3:00pm the temperature had increased to 2.4 F find the differnce between the two temperatures. Draw models to find the difference

Answers

0.8+2.4= 10.4F it increased 10.4f from 6am to 3am

every day, mike gets paid from his job. on monday, he gets 19 cents; on tuesday, he gets 14 cents; on wednesday, he gets 20 cents; on thursday, he gets 15 cents; and so on. how much money will he have by the 4th day?

Answers

21 cents bc the pattern is decreasinf by 5 and then add 6

PLEASE HELP 30 points!!!!

what is the slope of this line in the picture?

Answers

the answer is 1/4
because the answer 3/12 = 1/4

Julia plays volleyball and finished the regular season with 25 digs. The graph relates her total number of digs for the season to the number of games played in the post-season tournament. Graph in the coordinate plane with title Julia’s volleyball digs. Vertical axis goes from 0 to 60 in increments of 5 and is labeled number of digs. Horizontal axis goes from 0 to 10 in increments of 1 and is labeled games played. A ray on the graph starts at point begin ordered pair 0 comma 25 end ordered pair and goes through points begin ordered pair 4 comma 37 end ordered pair and begin ordered pair 8 comma 49 end ordered pair. What is the equation in standard form that represents the relationship shown in the graph? y=3x+25 y−37=3(x−4) 3x+y=25 −3x+y=25 y=−3x+25

Answers

The correct answer would be -3x+y=25

Answer:

As given : Graph in the coordinate plane with title Julia’s volleyball digs. Vertical axis goes from 0 to 60 in increments of 5 and is labeled number of digs. Horizontal axis goes from 0 to 10 in increments of 1 and is labeled games played. A ray on the graph starts at point begin ordered pair 0 comma 25 end ordered pair and goes through points begin ordered pair 4 comma 37 end ordered pair and begin ordered pair 8 comma 49 end ordered pair.

As the ray passes through (0,25) and (4,37) and (8,49).

Equation of line passing through (a, b) and (p,q) is given by:

 →  [tex]\frac{y-b}{x-a}=\frac{q-b}{p-a}[/tex]

→Equation of line passing through (0,25) and (4,37) is :

[tex]\frac{y-25}{x-0}=\frac{37-25}{4-0}=3\\\\y -25=3x\\y =3x + 25[/tex]

As , y= 3 x + 25,  also passes through (8,49) also.

Equation of line is : y = 3 x + 25 or in Standard form : - 3 x + y = 25

Option (D) is the standard form of line which is : - 3 x + y = 25




-4.2 (-2.8+4.5) what is the value of the expression

Answers

-7.14 should be your answer!

The amount of money Kelly earns is proportional to the number of hours she works. Kelly earns $32.40 working 4 hours. Create an equation that models the relationship between the amount of money Kelly earns, in dollars, and h, the number of hours she works.

Answers

she earns 32.40 for working 4 hrs.....32.40/4 = 8.10 per hr

y = 8.10h...where y is the amount of money earned and h is the number of hrs worked

find the rate of change for 2x+4y=10

Answers

rate of change for 2x+4y=10

here rate of change can be found by finding slope

the general form for slope is y=mx+b

isolating y on the left side:

2x+4y=10

4y=[tex] y=\frac{-2x+10}{4}

[/tex]-2x+10

from here slope is -1/2

Rate of change =-1/2

Use the sequence below to answer parts a and b (8,17,26,35,44,53,...) Create an explicit formula to determine the 12th term of the sequence Create a recursive formula to prove the 7th term is 62.

Answers

THATS HOW YOU SOLVE THE 12TH AND 7TH TERM
Final answer:

The explicit formula for the sequence (8, 17, 26, 35, 44, 53, ...) is 8 + (n-1) * 9, and the 12th term can be found by substituting n = 12. The recursive formula for the sequence is a1 = 8 and an = an-1 + 9. Using this recursive formula, we can verify that the 7th term is indeed 62.

Explanation:

To create an explicit formula for the sequence (8, 17, 26, 35, 44, 53, ...), we notice that the difference between each term is 9. So, the explicit formula for the sequence is 8 + (n-1) * 9, where n represents the position of the term in the sequence. Using this formula, we can find the 12th term by substituting n = 12: 8 + (12-1) * 9 = 89.

To create a recursive formula to prove that the 7th term is 62, we observe that each term is the previous term plus 9. So, the recursive formula for the sequence is:

a1 = 8an = an-1 + 9

Using this recursive formula and starting with a1 = 8, we can find the 7th term as follows:

a1 = 8a2 = a1 + 9 = 8 + 9 = 17a3 = a2 + 9 = 17 + 9 = 26a4 = a3 + 9 = 26 + 9 = 35a5 = a4 + 9 = 35 + 9 = 44a6 = a5 + 9 = 44 + 9 = 53a7 = a6 + 9 = 53 + 9 = 62

Therefore, the 7th term in the sequence is indeed 62.

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Working together , 5 friends collected 40 5/8 bags of food for the homeless . On a average how many bags of food did each friend collect ?

Answers

8.125. Just divide the number of bags they collected together.by how many of them collected them, to find out how many each of them collected
8 1/8. 5 divided by 40 5/8

If the equatorial diameter of the sun is 1.39 million km how many kilometers is the sun's radius

Answers

Since the radius of an object is half of the diameter, your equation and answer would be: 1.39 million divided by 2 = 695,000 km.

What is the best way to 7x7 in expanded form?

Answers

You just have to write it down (7.7.7.7.7.7.7=49)

Answer: Add 7 7 times

Step-by-step explanation: if you add 7 7 times like this 7+7+7+7+7+7+7 then that is your answer easy way too.

what is -5x + 2 equals negative 48

Answers

The answer would be X=10
First you would subtract 2 to -48 and that gives you -50. After you will divide the -5x to -50 and that gives you X=10

-5x+2=-48     -2-48=-50   -5x/-5x (cancels out )  -50/-5x =10    X=10




1. What events led to the attack at Pearl Harbor?


I know that this isn't math but I just need help please. :(

Answers

war between Japan and the United States.
A series of events lead to the attack of pearl harbor but one is the war between Japan and united states 

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.)

Answers

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is [tex] \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} } [/tex]

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by [tex]8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h [/tex]

Area of the four side faces of the aquarium is 4 times the length of the base times the height = [tex]4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}[/tex]

Total area to be covered by grass is the base and the four side faces and is given by [tex]\frac{20}{h}+\sqrt{320h}[/tex]

Cost of the entire metal frame = [tex]7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h [/tex]

Cost of the entire grass = [tex]8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h[/tex]

Therefore, total cost in terms of the height, h, is given by

[tex]C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h[/tex]

does it matter whether you remove x tiles or 1 tiles first

Answers

No, because when there is no value for a variable, it is equal to 1.

The difference between three-fifths of a number and 7 is -36

Answers

I'm assuming that your job is to find the number.

(3/5)x - 7 = -36
Add 7 to both sides:  (3/5)x = -29

Then x = -29 div. by (3/5).
          -29          -29       5         -145
x = - -------- =  ------- * -----   = --------
             3              1       3             3
           ---
             5

The value of a number such that The difference between three-fifths of that number and 7 is -36 is -145/3.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

Subtraction = Minus of any two or more numbers with each other called subtraction.

Let's say that number is x.

Three-fifth of x ⇒ (3/5)x

The difference of (3/5)x and 7 will be,

(3/5)x - 7 = -36

Add 7 on both sides

(3/5)x = -29

Multiply 5/3 on both sides

x = -29(5/3)

x = -145/3

Hence "The value of a number such that The difference between three-fifths of that number and 7 is -36 is -145/3".

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(20 points)

What is the perimeter of the figure?

229-4/9 ft
229-2/3 ft
230-2/3 ft
231 ft

Answers

60 5/6 + 56 1/6 = 117

59 1/3 + 54 1/3 = 113 2/3

117 + 113 2/3 = 230 2/3 feet

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