MATHEMATICS MIDDLE SCHOOL

Numbers that are both larger than –2 and smaller than 3.

Answers

Answer 1
Answer:

Answer:

4

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Answer 2
Answer:

Answer:

-1,0,1,2

Step-by-step explanation:

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to ammend the US constitution 3/4 of the states must approve the ammendment. if 35 states approve an ammendment wil the constitution be amended
Jerry built a chest shaped like a rectangular solid. The base was 14 inches long and 10 inches wide. It had a height of 4 inches. What is the area of the base
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A twelve pack of juice costs $3.90. An eighteen pack costs $5.49. Which is the better buy?

Write an expression that can be used to multiply 6x198 mentally.

Answers

assuming you meant 6x198 do a mental sum for 6x200 (1200) then subtract 6x2(12)to give you 1188
In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.  

An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Dominic noticed that the shelter spent $175.00 caring for birds and cats on Monday. Dominic found a record showing that there were a total of 22 birds and cats on Monday. How many birds were at the shelter on Monday?

Answers

Answer:

Step-by-step explanation:

4.5b + 8.5c = 175

b + c = 22.......b = 22 - c

4.5(22 - c) + 8.5c = 175

99 - 4.5c + 8.5c = 175

-4.5c + 8.5c = 175 - 99

4c = 76

c = 76/4

c = 19......there are 19 cats

b + c = 22

b + 19 = 22

b = 22 - 19

b = 3 <==== there are 3 birds

You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work the degree is 45

Answers

The area of one of the triangles on the face of the cupboard is A = 13 8/9 inches²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the height of the triangle is h = 16 2/3 inches

The base of the triangle is b = 16 2/3 inches

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

So , the total area of the cupboard C = 250/9

A = ( 1/2 ) x 250/9

A = 125/9 inches²

Hence , the area of the triangle is A = 125/9 inches² = 13 8/9 inches²

To learn more about triangles click :

brainly.com/question/16739377

#SPJ3
16 2/3 * 16 2/3 = 50/3 * 50/3 = 250/9
250/9 ÷ 2 =125/9 = 13 8/9

PLEASE HELP! THANKS! The measures, in degrees, of the 3 angles of a triangle are given by 2x +1, 3x - 3, and 9x. What is the measure of the smallest angle? A.) 13 degrees B.) 23 degrees C.) 29 degrees D.) 40 degrees please show how to solve this I GIVE THANKS!!!

Answers

So all of the internal angles of a triangle will add up to 180 degrees.  So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...

(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13

Now we can substitute 13 into each expression to find the value of each angle...

2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees

3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees

9x =
9(13) = 117 degrees

So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.

The smallest is 27 degrees

** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes).  Please check to see that the question is written correctly (pay close attention to plus and minus signs).

What is one sixth plus one fourth?

Answers

1/6 + 1/4 = 5/12
(1/6)*2 + (1/4)*3 
2/12 + 3/12
(2+3)/12
5/12

Describe the steps you can use to find an average of fractional amounts

Answers

Answer:

Average of number is equal to sum of numbers by total no.

i.e., Average\,=\,(Sun\,of\,numbers)/(Total\,no)

Now when numbers/amounts are fraction then there is one extra step which is to add the fractions.

Lets say we have to find average of 2 fractions i.e.,(3)/(4)\,,\,(5)/(3)

\implies\,Average\,=\,((3)/(4)+(5)/(3))/(2)

Step 1 : First to add the fractions find the LCM of denominator as There are unlike fractions

3 = 1 × 3

4 = 1 × 4

LCM of 3 and 4 = 3 × 4 = 12

Step 2: To make them like fraction we find equivalent fraction of each fraction whose denominator equal to 12

(3)/(4)*(3)/(3)=(9)/(12)

(5)/(3)*(4)/(4)=(20)/(12)

Step 3: Adding both fractions

(9)/(12)+(20)/(12)=(9+20)/(12)=(29)/(12)

Step 4: put these value in average formula

\implies\,Average\,=\,\frac{(29)/(12){2}

Step 5: Now we divide(29)/(12)by 2 using fraction division .i.e., multiply the reciprocal of divisor with dividend

here 2 is divisor

Reciprocal =(1)/(2)

\imples Average=(29)/(12)*(1)/(2)=(29*1)/(12*2)=(29)/(24)

Following these steps Average of fractional amount of any no can be found.
1. first make the denominators of the set the same. 
E.g. (2)/(7)+ (4)/(3) = (6)/(21) + (28)/(21) = (34)/(21)

2. Divide the total by the number of fractions added together: In this case it was 2 so:
(34)/(21) * (1)/(2)  =  (34)/(42)

3. Simplify the total: (17)/(21)
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