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Answer:

The correct unit price is $1.16 per pair.

The contractor calculated the unit price in terms of per dozen.

Step-by-step explanation:

Given that:

Cost of 5 dozen pairs = $69.60

Unit price per dozen = [tex]\frac{69.60}{5} =\$13.92[/tex]

Unit price means the price of one pair of padded work gloves, so we will convert dozens into unit.

1 dozen = 12 pairs

5 dozen = 60 pairs

Unit price = [tex]\frac{69.60}{60}[/tex]

Unit price = $1.16 per pair

Hence,

The correct unit price is $1.16 per pair.

The contractor calculated the unit price in terms of per dozen.

Hey there!

[tex]\textsf{5x + 3y - 2y + 3xy + 5xy - 10x}[/tex]

[tex]\textsf{Combine like terms}[/tex]

[tex]\textsf{(5x - 10x) + (3y - 2y) + (3xy + 5xy)}\\\mathsf{5x - 10x = -5x}\\\mathsf{3y - 2y = 1y}\\\mathsf{3xy + 5xy= 8xy}\\\boxed{\boxed{\mathsf{Answer: \bf{8xy-5x+y}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

4,5 miles

Step-by-step explanation:

60*2=120

120/12=10

1 mile every 10 minutes

45/10=4,5

Answer:

We conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

The graph of the line is also attached.

Step-by-step explanation:

Given

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

substituting the values m = 3 and the point (x₁, y₁) = (3,-3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-3\right)=3\left(x-3\right)[/tex]

Apply rule: -(-a) = a

[tex]y+3=3\left(x-3\right)[/tex]

subtract 3 from both sides

[tex]y+3-3=3\left(x-3\right)-3[/tex]

simplify

[tex]y=3x-12[/tex]

Therefore, we conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

The graph of the line is also attached.

Answer:

[tex]m = -\frac{2}{5}[/tex] ---- slope

[tex]y = -\frac{1}{3}[/tex] --- y intercept

Step-by-step explanation:

Given

The attached table

Required

Calculate the slope and y intercept

First, we need to calculate the slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

From the table, the following relationships exist:

[tex](x_1,y_1) = (-\frac{3}{4},-\frac{1}{30})[/tex]

[tex](x_2,y_2) = (\frac{1}{4},-\frac{13}{30})[/tex]

So, the expression for calculating slope becomes:

[tex]m = [-\frac{13}{30} - (-\frac{1}{30})] / [\frac{1}{4} - (-\frac{3}{4})][/tex]

[tex]m = [-\frac{13}{30} +\frac{1}{30}] / [\frac{1}{4} +\frac{3}{4}][/tex]

Take LCM

[tex]m = [\frac{-13+1}{30}] / [\frac{1+3}{4}][/tex]

[tex]m = [\frac{-12}{30}] / [\frac{4}{4}][/tex]

[tex]m = [\frac{-12}{30}] / 1[/tex]

[tex]m = \frac{-12}{30}[/tex]

[tex]m = \frac{-2}{5}[/tex]

[tex]m = -\frac{2}{5}[/tex]

To calculate the y intercept:

x must be 0. i.e.

[tex]x = 0[/tex]

So, we have:

[tex](x_1,y_1) = (-\frac{3}{4},-\frac{1}{30})[/tex]

[tex](x_2,y_2) = (0,y)[/tex]

[tex]m = -\frac{2}{5}[/tex]

Substitute these values in:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]-\frac{2}{5} = [y - (-\frac{1}{30})] / [0- (-\frac{3}{4})][/tex]

[tex]-\frac{2}{5} = [y +\frac{1}{30}] / [0+\frac{3}{4}][/tex]

[tex]-\frac{2}{5} = [y +\frac{1}{30}] / [\frac{3}{4}][/tex]

Multiply through  by 3/4

[tex]-\frac{2}{5}*\frac{3}{4} = y +\frac{1}{30}[/tex]

[tex]-\frac{6}{20} = y +\frac{1}{30}[/tex]

[tex]-\frac{3}{10} = y +\frac{1}{30}[/tex]

Collect Like Terms

[tex]y = -\frac{3}{10}-\frac{1}{30}[/tex]

[tex]y = \frac{-9-1}{30}[/tex]

[tex]y = \frac{-10}{30}[/tex]

[tex]y = \frac{-1}{3}[/tex]

[tex]y = -\frac{1}{3}[/tex]

Answer:

10 different total we can make.

Step-by-step explanation:

Consider the provided information.

It is given that we have three hoops and three cones of numbers 30, 40 and 90.

We are assuming that if we throw a hoop, it always falls on a cone.

Then the different totals are shown below:

If all three hoops fall on the same cone.

1) 30+30+30=90

2) 40+40+40=120

3) 90+90+90=270

If two out of three hoops fall on the same cone.

4) 30+40+40=110

5) 30+90+90=210

6) 40+30+30=100

7) 40+90+90=220

8) 90+30+30=150

9) 90+40+40=170

If all the hoops fall on the different cone.

10) 30+40+90=160

Hence, 10 different total we can make.

Answer:

trinomial , degree 5

Step-by-step explanation:

9y^5 + y - 3y^3

Writing the polynomial in standard form (from biggest power to smallest)

9y^5  - 3y^3+ y

This has 3 terms so it is a trinomial

The highest power is 5 so it has degree 5

Answer:

-10 - 14g

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Define

-2(5 + 7g)

Step 2: Expand

Answer:

Hi

The answer is 90%

Step-by-step explanation:

45/50 x 100=90

Percent of problems scored by Oscar is [tex]\boldsymbol{ 90\%}[/tex]

A percentage is a figure or ratio that is stated as a percentage of one hundred. The percent symbol, "[tex]\boldsymbol{\%}[/tex] ," is frequently then used represent it.

Score of Oscar in a test [tex]=\frac{45}{50}[/tex]

Therefore,

Percent of problems scored by Oscar [tex]=\boldsymbol{\frac{45}{50}\times 100 }[/tex]

                                                             [tex]=\boldsymbol{ 90\%}[/tex]

Find out more information about percentage here:

https://brainly.com/question/13450942?referrer=searchResults

Answer: The standard error of the sample mean = 0.44

Step-by-step explanation:

Standard error of the sample mean = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.

Given : n= 45 , [tex]\sigma= 2.96[/tex] grams

The e standard error of the sample mean [tex]=\dfrac{2.96}{\sqrt{45}}[/tex]

[tex]=\dfrac{2.96}{6.7082039325}\\\\\approx\ 0.44[/tex]

Hence, the standard error of the sample mean = 0.44

Answer:

Step-by-step explanation: the answer is 1130

Step-by-step explanation:

2/3x-8/3

hope it helps

Question:

A lemonade seller calculates that it costs $50 to produce 52 glass of lemonade and $110 to produce 127 glass of lemonade. Assume the relationship between the cost and the number of glass of lemonade produced is linear. What is the most reasonable estimate for producing 193 glass of lemonade?

Answer:

[tex](a).\ y = 0.8x + 8.4[/tex]

[tex](b).\ Estimate = \$163[/tex]

Step-by-step explanation:

Represent number of lemonade with x and the cost with y.

So:

[tex](x_1,y_1) = (52,50)[/tex]

[tex](x_2,y_2) = (127,110)[/tex]

Solving (a): The linear relationship between them.

First, calculate slope (m)

m = ∆y ÷ ∆x

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{110 - 50}{127 - 52}[/tex]

[tex]m = \frac{60}{75}[/tex]

[tex]m = 0.8[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 50 = 0.8(x - 52)[/tex]

[tex]y - 50 = 0.8x - 41.6[/tex]

Make y the subject

[tex]y = 0.8x - 41.6 + 50[/tex]

[tex]y = 0.8x + 8.4[/tex]

Solving (b): Estimate of 193 lemonade

In (a), we have:

[tex]y = 0.8x + 8.4[/tex]

Substitute 193 for x

[tex]y = 0.8 * 193 + 8.4[/tex]

[tex]y = 154.4 + 8.4[/tex]

[tex]y = 162.8[/tex]

[tex]Estimate = \$163[/tex]

Answer:

Slope of XZ = -5/9

Slope of YZ  = 2/7

Slope of XY  = -7/2

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

For XZ

X(−5, 5), and Z(4, 0)

Slope of XZ = 0-5/4-(-5)

Slope of XZ = -5/4+5

Slope of XZ = -5/9

For YZ

Y(−3, −2), and Z(4, 0).

Slope of YZ = 0-(-2)/4-(-3)

Slope of YZ = 2/4+3

Slope of YZ  = 2/7

For XY

X(−5, 5), Y(−3, −2)

Slope of XY = -2-5/-3-(-5)

Slope of XY = -7/-3+5

Slope of XY = -7/2

For two lines to be perpendicular, the product of their slope must be -1

Taking the product of XY and YZ

mXY * mYZ = -7/2 * 2/7

mXY * mYZ  = -1

since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle

Answer:

Scale factor = 1/2

Explanation:

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio

Answer:Scale factor = 1/2

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio like so: Scale Factor = purple/black

Scale factor = 10/20 = 1/2

Answer:

Based on the data and assuming these trends continue, the company that would give Martha a stable long-term investment is:

B. Eye Remember Enterprises; the smaller standard deviation indicates that Eye Remember Enterprises has less variability in its closing prices than The Azure Travel Company.

Step-by-step explanation:

The result shows that the greater the standard deviation of the stock price of the Azure Travel Company than that of Eye Remember Enterprises, the greater the variance between each stock's price and their mean closing prices.  This implies a larger price range in the stock of the Azure Travel Company than it is the case with the Eye Remember Enterprises.  It is noteworthy that a volatile stock has a high standard deviation, while the standard deviation of a stable blue chip stock is usually rather low.

Answer:

I believe the answer is 45

Step-by-step explanation:

First do the parentheses: 12-2=10

Then do the exponent: 3^2=3*3=9

Next multiply 9 by 10: 9*10=90

Lastly divide 90 by 2: 90/2=45

Answer:

135

Step-by-step explanation:

(33)(12−2) /2  =

27(12−2) /2  =

(27)(10) /2  =

270 /2

=135

Answer:

4th option

Step-by-step explanation:

brainliest plsssss

Answer:

Step-by-step explanation:

divide each number by 4

12/16

12/4 = 3

16/4 = 4

3/4

hope this helps <3

Answer:

42

Step-by-step explanation:

1st step: 63 divided by 3= 21

2nd step: 63- 21= 42

Answer:

P = 200L - 600

Step-by-step explanation:

Answer:

11.07

Step-by-step explanation:

2.7

x4.1

=11.07

Answer:

11.07

Step-by-step explanation:

Answer:

6:23 or 6/23

Step-by-step explanation:

100 g total

42 g of cherries

12 g of blackberries

x g of sugar

x = 100 - 42 - 12 = 46 g of sugar

12g of blackberries to 46 g of sugar

12/46 = 6/23

Answer:

The answer is 2)a=−2

Answer:

-2t-14

Step-by-step explanation:

Answer:

-2t - 14

Step-by-step explanation:

-2(t + 7)

distribute

(-2 * t) + (-2 * 7)

-2t + -2 * 7

-2t - 14

Answer:

[tex]15 \frac{5}{17}[/tex]

or

[tex]\frac{260}{17}[/tex]

Answer:

[tex]15\frac{5}{17}[/tex] or [tex]\frac{260}{17}[/tex]

Step-by-step explanation:

[tex]\frac{20}{1} times \frac{13}{17} = \frac{260}{17} = 15\frac{5}{17}[/tex]

Answer:

b. x=26

Step-by-step explanation:

x+3x-14+90=180(Being angles of a triangle)

4x+76=180

4x=180-76

x=104/4

Therefore ,x=26