Flared sides smoothly connect the ramp to the sidewalk. The guidelines say the flared sides must be no more than 5.7 degrees ( ratio of vertical to horizontal). What is the horizontal distance for flared sides with a 4 inch vertical distance?

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{13 - 5}{4 - 2} \\ = \frac{8}{2} = 4[/tex]

Answer:

10= hikers 160= pounds carried in items or gear X divided by P = amount of pounds of items each hiker carries.

x=10 P=160

Step-by-step explanation:

i cant see part B

Expressions can be represented as equations or inequalities

(a) Long hike

The hiker's weight is given as:

[tex]\mathbf{Weight =160}[/tex]

The hiker is embarking on a long hike, the recommended weight (x) of the backpack is calculated as:

[tex]\mathbf{x = 20\% \times 160}[/tex]

[tex]\mathbf{x = 32}[/tex]

The hiker's backpack weighs 15 lb.

So, the inequality that represents the additional weight is:

[tex]\mathbf{p + 15 \le 32}[/tex]

Subtract 15 from both sides

[tex]\mathbf{p \le 32 - 15}[/tex]

[tex]\mathbf{p \le 17}[/tex]

(b) Day hike

The hiker's weight is given as:

[tex]\mathbf{Weight =180}[/tex]

The hiker is embarking on a day hike (i.e. short hike), the recommended weight (x) is calculated as:

[tex]\mathbf{x = 15\% \times 180}[/tex]

[tex]\mathbf{x = 27}[/tex]

The hiker's backpack weighs 7.5 lb.

So, the additional weight the hiker can add is represented as:

[tex]\mathbf{p + 7.5 = 27}[/tex]

Subtract 7.5 from both sides

[tex]\mathbf{p = 27 - 7.5}[/tex]

[tex]\mathbf{p = 19.5}[/tex]

Hence, the hiker can add additional 19.5 pounds

Read more about equations and inequalities at:

https://brainly.com/question/11897796

Answer:

The answer is A, B, and D

Step-by-step explanation:

This is really easy, all you have to do is to choose the answers that are less than 1.

Why? because anything less than 1 multiplied by a number gives you a smaller number.

Since C and E are bigger than 1 then they will give you a bigger number than 2/3.

But A, B, and D are less than 1.

So, the answer is A, B, and D

Given:

The data values are 45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42.

To find:

The interquartile range of these test results.

Solution:

We have, the set of data values.

45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42

Arrange the data in ascending order.

35, 37, 38, 39, 41, 42, 43, 44, 45, 47, 47

Divide the data in two equal parts.

(35, 37, 38, 39, 41), 42, (43, 44, 45, 47, 47)

Divide each parenthesis in two equal parts.

(35, 37), 38, (39, 41), 42, (43, 44), 45, (47, 47)

Here,

First quartile: [tex]Q_1=38[/tex]

Third quartile: [tex]Q_3=45[/tex]

Now, the interquartile range is

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=45-38[/tex]

[tex]IQR=7[/tex]

Therefore, the interquartile range of these test results is 7.

Answer:

14

range is the largest # minus the smallest # in the set

Answer:

The answer is 13

Step-by-step explanation:

subtract the lowest from the highest and thats the range

Answer:

70

Step-by-step explanation:

100 shots is ten times the amount she took first

so we do 7 × 10 =70

Answer:

3x16

Answer to the equation:

48

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Distribute the 5

5(y+3)=

5y+3*5=

5y+15=5y+_____

to make these equal _____= 15

Answer:

B

Step-by-step explanation:

Answer:

x=1,y=3

Step-by-step explanation:

e.g y= 3

3=2x+1

3-1=2x

2/2=x

1=x

Answer:

Step-by-step explanation:

>means the unit rate once of icing for cake

=40 4/5 ounces

Answer:

Substitute x into the first equation.

Step-by-step explanation:

4(15-4y) - 5y = -2

The variable x is already by itself on one side of the equation. Therefore, x = 15 - 4y which means we can substitute 15 - 4y into the first equation.

Answer:

4(15-4y) - 5y = -2

Step-by-step explanation:

4x - 5y = -2

x = 15 - 4y:

Substitute x = 15 - 4y into the first equation:

4(15-4y) - 5y = -2

Answer:

2

Step-by-step explanation:

8:400*100 =

(8*100):400 =

800:400 = 2

The solution of the equation that 8 is what percent of 400 is  2, i.e. 8 is 2  percent of 400.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The equation of percentage can be calculated as:

Consider, the unknown variable as x,

According to the given data in the question,

[tex]8 = \dfrac{x}{100} \times 400[/tex]

The equation can be simplified as:

8 = 4x

Divide both side by 4 to get the value of x,

x = 2

The solution of the equation that 8 is 2  percent of 400.

Learn more about equations here :

https://brainly.com/question/14686792

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Answer:12

Step-by-step explanation:

Answer:

5x+18

Step-by-step explanation:

Are u dividing ? or no?... or adding more details plzz

Answer:

18

Step-by-step explanation:

Complete Question:

Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution.

A. Luke cut his cake into how many slices?

B. Kira cut her cake into how many slices?

C. Ali cut her cake into how many slices.

Answer:

A. 6 slices.

B. 9 slices.

C. 12 slices.

Step-by-step explanation:

Given the following data;

Number served by Luke = 4 slices

Number served by Kira = 6 slices

Number served by Ali = 8 slices

We would solve for the number of slices each of them divided their cakes into.

For Luke, serving 2/3;

[tex] \frac {4}{\frac{2}{3}} = \frac {4 * 3}{2} [/tex]

[tex] \frac {4}{\frac{2}{3}} = \frac {12}{2} [/tex]

[tex] \frac {4}{\frac{2}{3}} = 6 \; slices [/tex]

For Kira, serving 2/3;

[tex] \frac {6}{\frac{2}{3}} = \frac {6 * 3}{2} [/tex]

[tex] \frac {6}{\frac{2}{3}} = \frac {18}{2} [/tex]

[tex] \frac {6}{\frac{2}{3}} = 9 \; slices [/tex]

For Ali, serving 2/3;

[tex] \frac {8}{\frac{2}{3}} = \frac {8 * 3}{2} [/tex]

[tex] \frac {8}{\frac{2}{3}} = \frac {24}{2} [/tex]

[tex] \frac {8}{\frac{2}{3}} = 12 \; slices [/tex]

Therefore, it is possible because;

A. Luke cut his cake into 6 slices.

B. Kira cut her cake into 9 slices.

C. Ali cut her cake into 12 slices.

Answer:

x<8

Step-by-step explanation:

i don't think the question was complete, i cannot make an inequality with just the information given.

Answer:

3. SSS

4. True

5. False

Step-by-step explanation:

Answer:

4) True because times a larger number the number increases.

5) False

Answer:

6

Step-by-step explanation:

Make an equation Set x as number of hour

19+9x=73

9x=54

x=6

Step-by-step explanation:

73-19 flat fee=54

54÷9=6 hrs

Answer:

The diameter is 36.

Step-by-step explanation:

Answer:

20 oatmeal cookies

Step-by-step explanation:

4/5 of 25 is 20

If you are working on proportions, you can do 4/5=x/25

Answer:

24

Step-by-step explanation:

30 cookies, 4/5 are oatmeal

Multiply fractions straight across the equation, numerator times numerator and denominator times denominator.

30/1 x 4/5 = 120/5

Reduce 120/5 by dividing denominator and numerator by 5

120 / 5 = 24/1 = 24 cookies were oatmeal.

OR

30/5 = 6 = 1/5 of 30

4 x 6 = 24 cookies were oatmeal

Hardly worth heating the oven and getting all the pans dirty for such a small batch

Answer:

Step-by-step explanation:

In order to calculate the total amount that Ms. Jackson will need to pay for renting we need to multiply the number of miles that she will drive by the price per mile driven. Once we have that product we can simply add the weekly fee (w) to it which will give us the total (T) amount that Ms. Jackson will have to pay for her trip. This can all be combined into the following formula.

T = w + 0.90m

Answer:

the answer is b

Step-by-step explanation:

Answer:

Possible answers could be that you have 400 adults and no children, or you could have 100 children and 340 adults.