A survey of 80 students found that 24 students both play Which of the following correctly repres

Using pemdas what’s the correct solution

SSSSS [86.1K]

4- 2/3 (4-1/6) divided by 3/4

parenthesis first

4 - 2/3 (3 5/6) divided by 3/4

change to an improper fraction (6*3+5)/6

4 - 2/3 ( 23/6)divided by 3/4

4 - 46/18 divide by3/4

copy dot flip

4 - 46/18 * 4/3

4 - 23/9 * 4/3

4 - 92/27

get a common denominator of 27

4*27/27 -92/27

108/27 - 92/27

16/27

4 0

3 years ago

Read 2 more answers

34 in.

Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = $\sqrt{1156-256}$

= $\sqrt{900}$

= 30 in.

Perimeter of the triangular base = AB + BC + AC

= 16 + 30 + 34

= 80 in

Lateral surface area = 80 × 22

= 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(30)(16)$

= 240 in²

Total surface area = 1760 + 2(240)

= 1760 + 480

= 2240 in²

Volume = Area of the triangular base × Height

= 240 × 20

= 4800 in³

6 0

2 years ago

What is the solution to this inequality?

Snezhnost [94]

Answer:

$\boxed{\sf{D. \quad x < 3}}$

Step-by-step explanation:

It is necessary to isolate the term of x from one side of an inequality to find its solution.

First, add by 8 from both sides.

$\sf{-4x-8+8 > -20+8}$

Solve.

-20+8=-12

Rewrite the problem down.

$\sf{-4x > -12}$

Multiply by -1 from both sides.

(-4x)(-1)<(-12)(-1)

Solve.

Multiply the numbers from left to right.

(-12)(-1)=12

4x<12

Divide by 4 from both sides.

4x/4<12/4

Solve.

Divide the numbers from left to right.

12/4=3

x<3

Therefore, the correct answer is D. x<3 (last option).

I hope this helps you! Let me know if my answer is wrong or not.

5 0

2 years ago

Read 2 more answers

QUICK HURRY PLEASE Liam gave his friends a puzzle. He said he had two numbers that were not between -1 and 1. However, when the

egoroff_w [7]

Answer:

D

Step-by-step explanation:

One number will be positive, and one will be negative

6 0

2 years ago

Read 2 more answers

a storeroom 21 feet long, 15 feet wide, and 11 feet high was enlarged to a length of 25 feet and a width of 17 feet. how many cu

xenn [34]

<h2>1210 cubic feet</h2>

Step-by-step explanation:

Initial dimensions of the storeroom were $21\text{ }ft$ length, $15\text{ }ft$ width and $11\text{ }ft$ height.

The room is in the shape of a cuboid. Volume of a cuboid = $V=l\times b\times h$ , where $l,b,h$ are the length, width and height of the cuboid.

So, Volume of storeroom initially = $21\text{ }ft\text{ }\times15\text{ }ft\text{ }\times11\text{ }ft\text{ }=3465\text{ }ft^{3}\text{ }$

Finally, the length was increased to $25\text{ }ft$ and width to $17\text{ }ft$ .

Final volume of storeroom = $25\text{ }ft\text{ }\times 17\text{ }ft\text{ }\times 11\text{ }ft\text{ }=4675\text{ }ft^{3}\text{ }$

Increase in volume = $4675\text{ ft}^{3}-3465\text{ ft}^{3}=1210\text{ ft}^{3}$

∴ 1210 cubic feet of storage was added.

7 0

2 years ago