Please help with question 1

if each person had to run 1/25 of a mile then you would need to have 5 people per team. it takes 5/25 to equal 1/5. So your answer is 5!!

Hope this helps! :)

The area of rectangle is 15x - 25y + 30 sqaure units

Solution:

Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6

To find: Area of rectangle

The area of rectangle is given by formula:

[tex]Area = length \times width[/tex]

From given,

Length = 5

Width = 3x - 5y + 6

Substituting the values in formula, we get,

[tex]Area = 5 \times (3x - 5y + 6)\\\\\text{Multiply 5 with each term inside the bracket }\\\\Area = 5(3x) -(5)(5y) +5(6)\\\\\text{Simplify the above expression }\\\\Area = 15x -25y + 30[/tex]

Thus area of rectangle is 15x - 25y + 30 sqaure units

Answer:

It is 20.9feet

Step-by-step explanation:

Answer:19.1

Step-by-step explanation:

Answer:

Part a) [tex]y=-2x+4[/tex]

Part b) The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

[tex]m=(0-4)/(2-0)=-2[/tex]

Find the equation of the line in slope intercept form

[tex]y=mx+b[/tex]

we have

[tex]m=-2\\b=4[/tex]

substitute

[tex]y=-2x+4[/tex]

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

[tex]y=-2x+4[/tex]

substitute

[tex]x=-2x+4\\3x=4\\x=\frac{4}{3}[/tex]

[tex]y=x=\frac{4}{3}[/tex]

therefore

The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]

Answer:

The equation of line is y+2=0

Step-by-step explanation:

The equation of line passing through the point [tex](x_{1},y_{1} )[/tex]and having slope  m is

[tex]y-y_{1} = m (x-x_{1}[/tex]

Given slope m=0 and given point is  is (-2,-2)

[tex]y-(-2)=0(x-(-2))[/tex]

[tex]y+2=0[/tex]

therefore equation of the straight line is [tex]y+2=0[/tex]

Therefore the straight is parallel to negative x-axis(y=-2)

Answer:

2x(x - 4)

Step-by-step explanation:

Given

2x² - 8x ← factor out 2x from each term

= 2x(x - 4) ← in factored form

The student's question is a math problem involving consecutive numbers and a basic linear equation. The page numbers of an open book are consecutive, implying the left page is x and the right is x+1. Solving the equation x+(x+1)=333 results in the left page being 166 and the right page 167.

The problem can be approached using the basic concept of consecutive integers in Mathematics. If the total sum of the two page numbers is 333, this means we are dealing with two consecutive numbers (since the left and right page numbers of an open book are always consecutive). Let's represent the left page number as x (unknown at this point). So, the right page number would be x+1 setting up our equation as x+(x+1)=333. Solving this equation will help us find the actual page numbers.

So, the left and right page numbers are 166 and 167 respectively.

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Answer:

Less than:  1/4, 1/8, 1/16,...

Greater than: 5/8, 3/4, 1,...

Hope this helps :)

Answer:

Step-by-step explanation:

If he reads 80 pages in 2 hours, that means he reads 80 pages in 120 minutes. 80 pages/120 minutes simplifies to 2 pages/3 minutes. It also means it takes him 1 and a half minutes to read each page.

Answer:

18 to the 8th power

Step-by-step explanation:

Answer:

[tex]234.6\%[/tex]

Step-by-step explanation:

we know that

To convert decimal number  as a percent, multiply the number by 100 (just move the decimal point two places to the right)

we have

[tex]2.346[/tex]

Convert as a percent

Multiply by 100

[tex]2.346(100)=234.6\%[/tex]

Answer:

The solution is x=7

Step-by-step explanation:

We want to solve for x in the equation

[tex] - 2x + 8 = - 6[/tex]

Subtract 8 from both sides of the equation:

[tex] - 2x + 8 - 8 = - 6 - 8[/tex]

Simplify to get:

[tex] - 2x + 0 = - 14[/tex]

This implies that:

[tex] - 2x = - 14[/tex]

[tex]x = \frac{ - 14}{ - 2} [/tex]

[tex]x = 7[/tex]

Answer:

30 centimeters

Step-by-step explanation:

since the width is 4 centimeters more than 3/10 of the length, then 13 is 4 centimeters more than 3/10 of the length. 4 less than 13 is 9, so nine is 3/10 of the length. if 9 is 3/10, then 3 is 1/10 because 3/10 is three times 1/10. If 3 is 1/10, that means that 30 is the length because 1/10 multiplied by 10 is 10 tenths, or 1.

Answer:

(x + 7)3y = 3xy + 21y

Step-by-step explanation:

Expand the expression in the question by using the distributive property. This means you multiply the term (number) outside the bracket with each of the terms (numbers) inside the bracket.

(x + 7)3y                  Expand this

= (x)(3y) + (7)(3y)            Multiply 3y with x and 7

= 3xy + 21y                 Simplified, final answer

Answer:?

Step-by-step explanation:

not sure..

A submarine hovers at 66 and 2/3 yards below sea level. If it ascends 24 and 1/8 yards and then descends again 78 and 3/4 yards, what is the submarine’s new position, in yards, below sea level?

Answer:

The submarine's new position is [tex]-121\frac{7}{24}\text{ yards}[/tex] below sea level.

Solution:

Given that a submarine hovers at [tex]66\frac{2}{3}[/tex] yards below sea level. This means that the position of submarine is negative

Therefore, we get [tex]-66\frac{2}{3}[/tex]

Also given that it ascend [tex]24\frac{1}{8}[/tex] yards

So we have to add [tex]-66\frac{2}{3}[/tex] and [tex]24\frac{1}{8}[/tex]

[tex]\rightarrow -66\frac{2}{3} + 24\frac{1}{8}\\\\\text{Convert mixed fractions to improper fractions }\\\\\rightarrow -\frac{66 \times 3+2}{3} + \frac{24 \times 8+1}{8} = \frac{-200}{3} + \frac{193}{8}\\\\\rightarrow \frac{-200 \times 8}{3 \times 8} + \frac{193 \times 3}{8 \times 3}\\\\\text{Simplify the above expression }\\\\\rightarrow \frac{-1600}{24} + \frac{579}{24} = \frac{-1021}{24}[/tex]

The submarine descends again 78 and 3/4 yards

This means we need to subtract [tex]-78\frac{3}{4}\text{ yards from } -\frac{1021}{24}\text{ yards}[/tex]

[tex]\rightarrow \frac{-1021}{24} -(78\frac{3}{4})\\\\\rightarrow \frac{-1021}{24} - \frac{78 \times 4 + 3}{4}\\\\\rightarrow \frac{-1021}{24} - \frac{315}{4} = \frac{-1021}{24} - \frac{315 \times 6}{4 \times 6}\\\\\rightarrow \frac{-1021 -1890}{24} = \frac{-2911}{24}\\\\\text{Simplify the expression }\\\\\rightarrow \frac{-2911}{24} = -121\frac{7}{24}[/tex]

Therefore, the submarine's new position is [tex]-121\frac{7}{24}\text{ yards}[/tex] below sea level.

Answer:

The answer-121 and 7/24

Hope this helps

:D

If I'm wrong sorry

And sorry that I'm super late

Answer: $74

Step-by-step explanation:

cost for an hour = $10

since she worked for 6 hours , this means that she made $(6x10) = $60

Also , she made 4% commission on her sale and she sold $350 , this means that she made 4% of 350 =$14

Therefore: she made $ 60 + $14 for the day. Thai is , she made $74 for the day

Answer:

AP = 13

Step-by-step explanation:

See the attached figure.

CD = 10 and XY = 24

Line XY bisects and is perpendicular to AB and CD

∴ XY bisects at Y

∴ CY = 0.5 CD = 0.5 * 10 = 5

And from the geometry of the shape

P is the midpoint of XY

∴ XP = YP = 0.5 XY = 0.5 * 24 = 12

XY is perpendicular to CD

∴ ΔPYC is a right triangle at Y

∴ PC (hypotenuse) = [tex]\sqrt{PY^2+YC^2} =\sqrt{12^2+5^2}=\sqrt{144+25} =\sqrt{169} =13[/tex]

From the figure AP = PC = 13

Answer: y = -3x + 8

Step-by-step explanation:

The formula for finding equation of line when two points are given is :

[tex]\frac{y-y_{1}}{x-x_{1}}[/tex] = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]x_{1}[/tex] = 1

[tex]x_{2}[/tex] = -2

[tex]y_{1}[/tex] = 5

[tex]y_{2}[/tex] = 14

Substituting the values , we have

[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{14-5}{-2-1}[/tex]

[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{9}{-3}[/tex]

[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{-3}{1}[/tex]

y-5 = -3(x-1)

y -5 = -3x + 3

writing the equation in slope - intercept form , we will make y the subject of the formula:

y = -3x + 3 + 5

y = -3x + 8

Answer:

321 300 20 1

Step-by-step explanation:

In written for: Three hundred twenty-one

Expanded form: 300 + 20 + 1

Standard form: 321

Fraction form: 321/1

Decimal form: 321.00

Answer:

No, 8 / 2 and 2 / 8 are not equivalent.

Step-by-step explanation:

2 Numbers switched makes a different result.

For example, switching numbers in 82.

As we switch the 8 and the 2, we get 28.

28 is not equivalent to 82.

As we do 8 / 2, when we switch the numbers, we get 2 / 8.

2 / 8 is not equivalent to 8 / 2.

As we solve both equations, 8 / 2 = 4, 2 / 8 = 0.25.

0.25 is not equivalent to 4.

Therefore, 8 / 2 and 2 / 8 are not equivalent.

Hope this helps!

[tex]\text{Hey there!}[/tex]

[tex]\bf{Are\ 8\div2\ and\ 2\div8\ equivalent?}[/tex]

[tex]\text{The answer to this question is \bf{\underline{NO}}}[/tex] [tex]\checkmark[/tex]

[tex]\bf{Reason: because \ 8\div2=4 \ and\ 2\div8 = 0.25. \ So, both\ gives\ you}\\\bf{different\ answers\ and \ NOT\ the\ same\ answers}[/tex]

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

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

Final answer:

Stefan spent $120 originally to buy the bike and helmet and made $36 by selling them to Jin.

Explanation:

To find out how much Stefan spent originally, we need to divide the total cost for Jin by 130%.

Let's call the original amount x.

Jin's total cost is 130% of x, which can be expressed as 1.3x.

We know that the total cost for Jin is $140 for the bike + $16 for the helmet = $156.

So we have the equation 1.3x = $156. To solve for x, divide both sides of the equation by 1.3. x = $156 / 1.3 = $120.

Therefore, Stefan spent $120 originally to buy the bike and helmet.

To find out how much money Stefan made by selling the bike and helmet, we subtract the original amount spent from the total cost for Jin.

Money made = $156 - $120 = $36.

Answer: 6000+200+10+9

Step-by-step explanation:

The ones place multiplies by 1 so 9*1=9

The tens place multiplies by 10 so 10*1=10

The hundreds place multiply by 100 so 100+2=100

The thousands place multiply by 1000 so 1000*6=6000

Hope This Helps!!!

Answer:

160

Step-by-step explanation:

20 percent of 800 is 160

The saleswoman earned a commission of $160 last month from selling $800 worth of merchandise, given that her commission rate was 20%.

The subject of your question lies in the domain of Mathematics, specifically, a concept taught in Middle School known as percentages. In this case, we're tasked with finding out how much commission a saleswoman earned by selling $800 worth of merchandise, given that she earns a 20% commission on all items sold.

The process for calculating this is straightforward. You multiply the total amount of the sold merchandise by the percentage commission to find out the amount earned. In mathematical form:

Total commission earned = Total amount of items sold * Commission Rate

Substitute the given values into this equation:

Total commission earned = $800 * 20%

To convert the percentage to a decimal, you divide by 100, thus, 20% = 20/100 = 0.2

Hence, Total commission earned = $800 * 0.2 = $160

Therefore, the saleswoman earned a commission of $160 last month from selling the merchandise.

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Answer: 45mph

Step-by-step explanation: to solve this, all you have to do is add all of your data, and divide it by the number amount of data you have

Answer:

36 miles per hour

90miles/2.5hr = 36

Answer:

The equation can be y = 3b/5 or b = 5y/3

Correct statement and question:

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.  

Write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Let y to be the amount of liters of yellow paint needed to make the Green Goober's special green paint.

Let b to be the amount of liters of blue paint needed to make the Green Goober's special green paint.

We know that:

y:b = 3:5

Therefore,

5y = 3b, dividing by 5 at both sides we have:

y = 3b/5

And also dividing by 3 at both sides we have:

b = 5y/3

Both equations relate the amounts (in liters) of yellow paint and blue paint needed to make the Green Goober's special green paint.

Answer:

54.75

Step-by-step explanation:

219 divided by 4. Just plug it into a calculator

Answer:

54¾

Step-by-step explanation:

To start

4 goes in 219 = 54 times

remaining 3

so, writing as mixed fraction we have

219/4 = 54¾

Answer:

Look at the photo below for the answer.

:)

Answer: 4

Step-by-step explanation:

Answer:

7,800

Step-by-step explanation:

Because the 3 goes down.