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3 years ago

Y- (z + x - 2); use x = 4, y = 5, and z = 2 Please evaluate using the values given

Mathematics

2 answers:

posledela3 years ago

6 0

Answer:

Step-by-step explanation:

Insert the values in for the variables.

5 - (2 + 4 - 2)

<h3>REMEMBER: PEMDAS IS THE LAW OF THE LAND</h3><h3>P (Parentheses)</h3><h3>E (Exponents)</h3><h3>M (Multiplication)</h3><h3>D (Division)</h3><h3>A (Addition)</h3><h3>S (Subtraction)</h3><h3>Note: Do multiplication/division (and subtraction/addition) from left to right and not necessarily in the order given.</h3><h3>Let's Solve!</h3>

We have parentheses in this problem, so do all operations within the parentheses from left to right.

5 - (2 + 4 - 2)

5 - (6 - 2)

5 - (4) = 1

PLEASE MARK BRAINLIEST!

frez [133]3 years ago

5 0

It's gonna be 5 - (2 + 4 -2)
according to order of operations, we have to solve inside the parentheses/brackets first (from left to right)

therefore, it will be
5 - (6 - 2)
=5 - (4)

Next, distribute the negative to the four and add normally.

= 5 - 4
= 1

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dsp73

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3 years ago

A contractor purchases 4 dozen pairs of padded work gloves for $56.16. She incorrectly calculates the unit price as $14.04 per

8090 [49]

Answer:

The correct unit price is $1.17 per pair of gloves. The error is she used number of dozens so, firstly convert it to number of pairs of gloves then divide.

Step-by-step explanation:

It is given 4 dozen pairs of gloves for $56.16.

So, unit price = Divide the price by number of pairs of gloves.

And 1 dozen =12

So 4 dozen =4*12=48 pairs of gloves

So, to find unit rate divide 56.16 by 48.

Unit price = $\frac{56.16}{48}= $1.17$

So, the error is she didn't convert the dozen to units.

That made mistake in finding unit price.

6 0

2 years ago

The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupie

dimaraw [331]

Answer:

0.1569 = 15.69%

Step-by-step explanation:

If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):

P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6

P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6

P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%

7 0

2 years ago

Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to to type 10 2/3 pages? Complete the rate table to s

Luda [366]

Answer:

The answer is 8 because you need to add 1 1/3 eight times to get 10 2/3

6 0

3 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

2 years ago