80.1 times 2.8 and what is the anser and how do you show your work ???

Mike took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of slacks and paid $15.95. The

Vsevolod [243]

Answer:

Each Shirt ≈ $2.49

Each Pair of Slacks ≈ $5.99

Each Sports Coat ≈ $7.99

Step-by-step explanation:

Mike took clothes to the cleaners three times last month.

Let S denotes shirts, P denotes pair of slacks and C denotes sports coat.

First, he brought 4 shirts and 1 pair of slacks and paid $15.95.

Mathematically,

4S + P = 15.95 eq. 1

Then he brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid $49.38.

Mathematically,

7S + 4P + C = 49.38 eq. 2

Finally, he brought 3 shirts and 1 sports coat and paid $15.46.

Mathematically,

3S + C = 15.46 eq. 3

We are asked to find how much was he was charged for each shirt, each pair of slacks, and each sports coat.

4S + P + 0C = 15.95 eq. 1

7S + 4P + C = 49.38 eq. 2

3S + 0P + C = 15.46 eq. 3

We have 3 equations and 3 unknowns, they can be solved simultaneously using calculator or using online system of equations solver.

Using online system of equations solver yields,

S ≈ $2.49

P ≈ $5.99

C ≈ $7.99

So that means Mike was charge $2.49 for each shirt, $5.99 for each pair of slacks and $7.99 for each sports coat.

5 0

3 years ago

In order to estimate the average electric usage per month, a sample of 196 houses was selected, and their electric usage determi

makkiz [27]

Answer:

a) SE = 25

b) MOE = 41

c) CI = 1951 ; 2049

Step-by-step explanation:

Normal distribution

Population mean unknown

Population standard deviation σ = 350 Kwh

a) The standard error of the mean SE is

SE = σ/√

SE = 350 /√196

SE = 350/14

SE = 25

b) If confidence nterval is 95% or 0,95 then

α = 0,05

And from z table we get z(c) = 1,64

MOE = z(c) * SE

MOE = 1,64 * 350/√196

SE = 1,64 * (350)/14

SE = 41

MOE = And from z tabl we get z(c) = 1,64

MOE = 1,64 * 350/√196

MOE = 1,64 * (350)/14

MOE = 1,64 * 25

MOE = 41

c) The confidence interval is:

Z = 2000

α = 1- 0,95

α = 0,05 ⇒ α/2 = 0,025

CI = Z - z(α/2) * σ/√n ; Z + z(α/2) * σ/√n

z(α/2) from z-table is: z(0,025) = 1,96

CI = 2000 - 1,96* 350/√196 ; 2000 + 1,96* 350/√196

CI = 2000 - 1,96*25 ; 2000 + 1,96*25

CI = 2000 - 49 ; 2000 + 49

CI = 1951 ; 2049

5 0

3 years ago

What is the range of the following relation? 1.)all real numbers 2.) x ≤ 0 3.) y ≤ 0

REY [17]

It would be <0X <0Y Because they would need to math I am just guessing

6 0

3 years ago

Geometry heeelp i need help asap i will give 100 points and brainiest.

Anastaziya [24]

Answer:

X=2

Step-by-step explanation:

You can prove the triangle congruent by SAS. First, reflexive property and then isosceles triangle theorem since two side is congruent, the opposite angle is congruent to each other because of that theorem and then cpctc

6 0

3 years ago

Read 2 more answers

126/21 The simplest form

Marina CMI [18]

$\dfrac{126}{21} = \dfrac{2 \times 3 \times 3 \times 7}{3 \times 7} = 6$

Answer: 6

8 0

3 years ago

80.1 times 2.8 and what is the anser and how do you show your work ???​

80.1 times 2.8 and what is the anser and how do you show your work ???