MATHEMATICS MIDDLE SCHOOL

The figure below is made of two identical triangular prisms. What is the volume of the figure?

Answers

Answer 1

Answer:

Answer:

300 in³

Step-by-step explanation:

The volume (V) of a triangular prism is

V = Al ( A is the area of the triangular face and l is the length )

A = $(1)/(2)$ bh ( b is the base and h the height )

Here b = 5 and h = 6 , thus

A = $(1)/(2)$ × 5 × 6 = 15 in², so

V = 15 × 10 = 150 in³

Since the triangular prisms are identical, then volume of figure is

V = 2 × 150 in³ = 300 in³

Answer 2

Answer: 300 in^3

This answer isn’t mine sorry

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Tina solved an equation incorrectly, as shown below:Step 1: 8x = 24
Step 2: x = 24 − 8
Step 3: x = 16

Which statement best explains why Step 2 is incorrect in Tina's solution?

She did not divide 24 by 8.
She did not add 8 to 24.
She did not multiply 24 by 8.
She did not multiply 24 eight times.

Answers

Answer: The correct statement is (A) She did not divide 24 by 8.

Step-by-step explanation: Given that Tina solved an equation incorrectly, as shown below:

Step 1: 8x = 24

Step 2: x = 24 − 8

Step 3: x = 16.

We are to select the correct statement that best explains the reason behind Step 2 incorrect.

The correct steps of the solution are

$\textup{Step 1: }8x=24\n\n\textup{Step 2: }x=(24)/(8)\n\n\textup{Step 1: }x=3.$

Therefore, we see that in step 2, Tina should divide 24 by 8, which she did not do and got the incorrect answer.

Thus, the correct statement is (A). She did not divide 24 by 8.

$8x = 24 \n \n x = (24)/(8) \ / \ divide \ by \ 8 \n \n x = 3 \ / \ simplify \n \n$

Seeing the correct steps above, the mistake that Tina made was that she did not divide 24 by 8.

What is the place value of the 5 in 5,675.321

Answers

The value of the 5 in 5,675.321 could be either five thousands or 5 ones...

Not sure which one so I put both... hope this helps. Let me know if not and / or you need any more help. :)

The value of 5 is Millions.

To help I will define all the numbers for you to help better understand.

5 is million, 6 is hundred thousands, 7 is ten thousand, 5 is thousand, 3 is tenths, 2 is hundredths, 1 is thousandths.

Which ordered pair is the solution to the system of equations?

2x-5y=-5
x+2y=11

Answers

2x-5y= -5
-2/*x+2y=11

2x-5y= -5
-2x-4y= -22
+------------------
-9y=-27
y=3

x+2y=11
x+2*3=11
x=5

$2x-5y=-5\nx+2y=11\n\n2x-5y=-5\n-2x-4y=-22\n-------\n-9y=-27\ny=3\n\nx+2\cdot3=11\nx+6=11\nx=5\n\n(5,3)$

You work at a sandwich shop. The shop's special is a sandwich with one cheese, one vegetable, and one meat for $5.00. There are 4 cheeses, 6 vegetables, and 5 meats to choose from. You also get your choice of 3 kinds of bread. How many different sandwiches can you make?

Answers

you can make 360 different sandwiches by multiplying 4 by 5 by 6 by 3

2 pounds of potatoes are taken out of the bag what weight does the scale show now

Answers

you should aske them together in 1 quesiton (I am assuming the scale had 5 pounds before)

so 5-2=3 pounds
to ounces=3 times 16 since 16 oz pper ppound

3 times 16=48 oz

We can't tell how much it weighs we need more info about the question

A worker at a clothing store earns a 15 % commission on a sale of $75.00 . How much is the commission

Answers

15% = .15

75.00 x .15
11.25

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