MATHEMATICS HIGH SCHOOL

In order to solve the equation −3x + 6 = 5, the first step is to (1 point)add 6 to both sides
divide by 5 on both sides
subtract 6 from both sides
multiply by 5 on both sides

Answers

Answer 1

Answer:

Answer:

Option (C) is correct.

To solve the given equation −3x + 6 = 5,the first step is to subtract 6 from both sides.

Step-by-step explanation:

Given : equation −3x + 6 = 5

We have to solve for x in the equation −3x + 6 = 5.

Consider, the equation −3x + 6 = 5

First step: Subtract 6 both side , we get

⇒ −3x + 6 - 6 = 5 - 6

⇒ −3x = -1

Second step : Divide both side by -3 , we get,

$x=(1)/(3)$

Thus, option (C) is correct.

To solve the given equation −3x + 6 = 5,the first step is to subtract 6 from both sides

Answer 2

Answer: −3x + 6 = 5 | -6 (first step is: "subtract 6 from both sides" )

-3x = 5-6
-3x = -1 | /(-3) (second step is: "divide by (-3) on both sides" )

$\displaystyle \n x = (-1)/(-3) = \boxed{(1)/(3) }$

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A team of three laborers in Mongolia makes rugs by hand for export to the United States. The team works 14 hours a day, six days a week, 50 weeks a year, and is able to make 12 rugs a year. Each laborer is paid a wage that is equivalent to $1.10 per day. The rugs sell for $2,000 each in the United States.
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Parker created a table to show how many of each type of shoes his store sold on Friday and Saturday. The store sold 400 pairs of shoes each of the two days.Which type of shoes represents of the sales for the day? Shoes Sold on Friday and Shoes Sold on Saturday. Boots 35, Friday Athletic shoes 225, High heels 40, Ballet flats 100. Friday Boots 42, Athletic shoes 150, High heels 8, Ballet flats 200. A. High heels sold on Friday B. Ballet flats sold on Saturday C. Athletic shoes sold on Saturday D. Athletic shoes sold on Sunday

Jim goes canoeing on a local stream that has been measured to flow at 2 mph. If he can go 9 miles upstream in the same time it takes him to go 15 miles downstream, find how fast he can go in still waters.

Answers

Answer: This is a problem of solving a system of linear equations. Let x be the speed of Jim in still waters, and y be the speed of the stream. Then we have:

{x+y=15/tx−y=9/t

where t is the time it takes Jim to go upstream or downstream. We can solve this system by adding the two equations and eliminating y:

2x=24/tx=12/t

Then we can substitute x into one of the equations and solve for y:

y=15/t−12/ty=3/t

Since we know that the speed of the stream is 2 mph, we can equate y to 2 and solve for t:

3/t=2t=3/2

Finally, we can plug in t into the expression for x and find the speed of Jim in still waters:

x=12/tx=12/(3/2)x=8

Therefore, Jim can go 8 mph in still waters.

Answer:

Time taken to go downstream = 4 / ( 2 + S) where S is the speed of the river

TIme taken to go upstream = 1 / ( 2 - S )

Since the time taken is the same in each case we can equate both of them

1 / ( 2 - S) = 4 / ( 2 + S )

2 + S = 8 - 4S

5 S = 6

S = 6 / 5

= 1.2 mph

An open box is to be made from a rectangular piece of tin by cutting 3-inch squares out of the corners and folding up the sides. The length of the piece of tin is twice the width. The volume of the box will be 60 cubic inches. Find the dimensions of the original rectangular piece of tin

Answers

Answer:

Width of the Rectangular Tin=8 inch

Length of the Rectangular Tin= 16 inch

Step-by-step explanation:

Let the Width of the Rectangle=W

The length of the piece of tin is twice the width, Length = 2W

Since Squares of 3 inch are cut from all four corners of the rectangle

Length of the box = 2W-(3+3)=(2W-6) inches

Breadth of the Box = W-(3+3)=(W-6) inches

Height = 3 inches

Volume of the box = 60 cubic inches

Now, Volume of a cuboid=lbh

3(2W-6)(W-6)=60

Divide both sides by 3

(2W-6)(W-6)=20

Expanding the brackets

$(2W-6)(W-6)=20\n2W^2-12W-6W+36=20\n2W^2-18W+36-20=0\n2W^2-18W+16=0$

Factorizing

$2W^2-16W-2W+16=0\n2W(W-8)-2(W-8)=0\n(W-8)(2W-2)=0\nW-8=0 , 2W-2=0\nW=8, 1$

Since the Width cannot be less than 6,

Width of the Rectangular Tin=8 inch

Length= 2 X 8 = 16 inch

The correlation coefficient between two variables is 0.9. how do you describe this value?

Answers

A correlation coefficient of 0.9 shows a strong, almost perfect correlation between the two variables. A positive correlation implies that when one variable increases, the other variable increases together with it. When one variable decreases, the other variable decreases as well.

The original price of a computer is $599.99. Suzie has a 15%-off coupon for the computer. A sales tax of 7% will be added to the sale price of the computer. Which expression would calculate how much Suzie will pay for the computer?

Answers

The required cost of a computer Suzie will pay is $545.69.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The original price of a computer is $599.99.
Suzie has a 15%-off coupon for the computer.
Discounted price = (1 - 0.15)×599.99

Discounted price = 0.85×599.99

A sales tax of 7% will be added to the sale price of the computer.
Price of the computer after taxes = (1 + 0.07)0.85×599.99
= $545.69

Thus, the required cost of a computer Suzie will pay is $545.69.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

Answer:$731.99

Step-by-step explanation:

Rylan is testing 2 different types of nail polish on her fingernails to determine which one lasts longer. she purchases Brand A and Brand B from the drug store. She then paints her nails with Brand A and her sister's nails with Brandb. She compares the nails polish at the end of the week and determines that Brand B last longer because there fewer chips than Brand
a. Why is her conclusion not valid?

Answers

If you want to compare the quality of something, you should make sure that all the conditions were similar. This means that if you want to compare the quality of nail polish, you should expose both kinds of nail polish to the same tests. However, here we don't know whether Rylan and her sister did the same things this week: for example if one of them washed more dishes, her nail polish would have a "harder" test - the test did not make sure that both products experienced the same conditions!

Answer:

She painted her sister's nails with Brand B, not her own nails.

Step-by-step explanation:

All parts to an experiment must be the same except one thing. She is testing different nail polishes so that's what needs to be different. By painting her hand with one nail polish and her sister's with the other, she is changing a second variable in the experiment making it invalid.

A
B
What is the domain and range?