Mathematics Middle School

## Answers

**Answer 1**

D, C, A nad then B

Figure out the number of possible triangles that fitcondition A. There are 3 possible combinations of three even numbers that sum to 12.Of these three, there is only one where every length is less than the sum of the other two:4 inches,4 inches,4 inches.So, there is only one triangle that fitscondition A.Figure out the number of possible triangles that fitcondition B. Since the perimeter and two side lengths are given, subtract the two side lengths from the perimeter to get the length of the third side.Sketch a triangle with lengths of2 inches,4 inches,and5 inches.From the sketch, the angle between the4-inchlength and5-inchlength has to be the smallest angle. Since it has to be the smallest angle, it cannot be more than a right angle. So, there is zero triangles that fitcondition B.Figure out the number of possible triangles that fitcondition C. For the area to be less than13 square inches, the product of the legs must be less than26 square inches. The right triangles withodd-numberedlegs greater than1 inchwhose product is less than26 square inchesare shown below.So, three triangles fitcondition C.Figure out the number of possible triangles that fitcondition D. If two angles of an isosceles triangle measure 50º, the third can be found by subtraction both angle measures from 180º.So, the angle measures must be 50º, 50º, and 80º. There is no condition on the lengths, so there are an infinite number of triangles that fitcondition D.Therefore, the conditions in order of greatest possible triangles to least are shown below.condition D,condition C,condition A,condition B

## Related Questions

HELP ME DO THIS

y=2x+4

-5x-5y=-5

### Answers

Y=2x+4

-5x-5y=-5

subsitute 2x+4 for y

-5x-5(2x+4)=-5

-5x-10x-20=-5

-15x-20=-5

add 20 to both sdies

-15x=15

divide by -15

x=-1

subsitute

y=2(-1)+4

y=-2+4

y=2

x=-1

y=2

A red string of lights blinks once every 3 seconds while a string of blue lights blink once every 4 seconds. How many times will both sets of lights blink at the same time in 60 seconds?

### Answers

The string of red lights will blink 20 times and the blue lights will be 15 60 divided by 4 is 15 and 60 divided by 3 is 20

Vicki puts 10 books on a shelf.The 10 books take up 28 centimeters.What is the mean (average) thickness of her books?= 2.8 cmThe shelf is 120 centimeters long.Vicki fills the shelf with a mixture of books like the first ten books.Estimate how many books she can get on the 120 cm shelf.Please show your working out.

### Answers

So each book is an average of 2.8 cm

so 120 divided by each book=number of books

120/2.8=42.85

round down since you can't fit .85 of a book on a shelf

the answer is 42 books

Explain how you can use a number line to show that 5/8 is greater than 3/8

### Answers

You can start by drawing a number line and labeling it with eighths. ( 1/8, 2/8, etc.) Then you can place a dot on 3/8 and 5/8. From there, it's clear to seethat 5/8 is greater than 3/8.

Draw a fraction number line and put a dot where each fraction from greatest to least is. Hope this helps

0___1/8___2/8____3/8___4/8___

Explain how you can use a number line to show that 5/8 is greater than 3/8

### Answers

You can have a number line showing eigths and place the 2 fractions on the number line in the correct place.

What is 3/4 divided by 1/24

### Answers

Dividing fractions is the same thing as multiplying by the reciprocal

3/4 x 24/1 = 18

3/4 divided by 1/24, must do the reciprocal (flip) of 1/24 which is 24/1, when do this you now multiply, 3/4x24/1=72/4=18

What is 151/24 simplified

### Answers

Well 151 divided by 24 is 6 remainder 7 so the mixed number would be 6 and 7/24

Every prime number greater than 10 has a digit in the ones place that is included in which set of numbers below?

### Answers

The numbers are all prime and odd numbers

11, 13,17,19,23,29,31,37,

so the numbers are 1,3,7,9

because

2 is even and if it ends in 2 then divisible by 2

this crosses out all the even numbers :2,4,6,8

if it ends with 5 then it is divisible by 5 cross 5 out

so the numbers are 1,3,7,9

if the number ends with these number that doesn't mean that it is always prime exg 21 is not prime, 49 is not prime

so the numbers 1,3,7,9

N^2+16n+60 over 36-n^2

### Answers

Factor

36-n^2 is difference of 2 perfect squares

a^2-b^2=(a-b)(a+b)

6^2-n^2=(6-n)(6+n)

factor

n^2+16n+60

find what 2 numbers multiply to 60 and add to 16

factors of 60=2,2,3,5

the numbers are 10 and 6

so factored out

(x+6)(x+10)

(x+6)=(6+x)

so the equation is

[(x+6)(x+10)]/[(6+x)(6-x)]=[(6+x)/(6+x)] times (x+10)/((6-x)=1 times (x+10)/(6-x)

the answer is (x+10)/(6-x)

Using the order of operations rule, solve the following: 12 ÷ 2 + 4 – 2 × 3 = ? A. 24 B. 36 C. 0 D. 4

### Answers

The answer is D, because you have to divide 12 by 2 so you get 6 then 2 times 3 to get 6, so now you should have 6+4-6 which will then become 10-6 which equals 4

Which one of the following groups of numbers includes all prime numbers? A. 7, 17, 63, 67 B. 3, 11, 23, 31 C. 1, 3, 11, 23 D. 2, 3, 5, 15

### Answers

The prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

A.

7 - is a prime number

17 - is a prime number

63 - is not a prime number because 63 = 3 × 21

B.

3 - is a prime number

11 - is a prime number

23 - is a prime number

31 - is a prime number

C.

1 - is not a prime number

D.

2 - is a prime number

3 - is a prime number

5 - is a prime number

15 - is not a prime number because 15 = 3 × 5

How much did a purse original cost if you bought it for $55.00 at 25% off

### Answers

So 55=100%-25%

55=75%

divide by 3

18.333=25%

multiply both sides by 4

$73.33= 100%

it cost $73.33

8x squared plus 2x minus 3

### Answers

8x^2+2x-3

factor

()()

find what 2 numbers multiply to get -3 and add to get 2

the answer is -1 and 3

then what 2 numbers multiply to get 8

(2x-1)(4x+3) is the factored form

In a zoo there are 30 monkeys, some gorillas and chimpanzees. The ratio of monkeys to gorillas is 6 to 1. The ratio of monkeys to chimpanzees is 5 to 2. How many gorillas are there? How many chimpanzees are there?

### Answers

If the ratio of monkeys to gorillas is 6:1

that means (1÷6)*30=5 gorillas

if the ratio of monkeys to chimpanzees is 5:2

that means (2÷5)*30=12 chimpanzees

A line passing through which of the following pairs of coordinates represents a proportional relationship? (1, 2) and (2, 3)

(1, 3) and (3, 6)

(1, 1) and (1, 3)

(1, 3) and (2, 6)

### Answers

The answer is D(1, 3) and (2, 6) 1*6=6 3*2=6

matt gives half of his books to the local library and kept the other half.his best friend gives him 3 more books.he now has 57 books.how many did he have to start

### Answers

Since he now has 57, before h was given three, he had 54.

if 54 was only the half he kept after giving his books to the library

54(2)=108 books to start with

57-3= 54

54x2= 108

Answer: 108

on December 24, 1924 the temperature in Fairfield Montana fell from 63°f at noon to -21°F at midnight what was the average temperature change per hour

### Answers

Average temperature change can be found through the equation

Avg Temp change per hour=Total temperature change÷ Total time

=84÷12

=7

Since the temperature was decreasing, make the 7 negative

-7

The diagonal of a rhombus are 7 cm and 12 cm long. find the area of the rhombus.

### Answers

What is 8/10 as hundredths in fraction form and decimal form?

### Answers

In hundreths in fraction form, you want 100 on the denominator (bottom)

in order to do this, multiply the top and the bottomnumber by 10

8/10=80/100

to get to decimal form, since your fraction is already out of 100, take the 80 and put a decimal two places to the right

80->.8

Answer:

80/100 and 0.8

Step-by-step explanation:

You would do 8/10 and multiply both by 10 and that would give you 80/100. Mainly because 10x10 is 100 and 8x10 is 80.

To get the decimal form, divide 8 by 10 and it should give you 0.8 just like that. C:

!Kayla! :)

Multiply. Write in simplest form. Identify the two whole numbers between which the product lies 5 x 6/8 and 2 x 9/10

### Answers

We have to multiply those numbers and to write it in the simplest form: 5 * 6/8 = 5 * 3/4 = 15/4 = 3 3/4. Another product is: 2 * 9/10 = 18/10 = 9/5 = 1 4/5. Then we will identify the 2 whole numbers between the product lies. Answer: For 15/4 ( equal to 3 3/4 ) those numbers are 3 and 4. For 9/5 (equal to 1 4/5 ) those numbers are 1 and 2.