8 ft
15 ft
What is the length of the hypotenuse?
C =
feet

9514 1404 393

Answer:

Step-by-step explanation:

The given relations give rise to two equations:

  b = g + 5

  b + g = 21

Using the first to substitute for b in the second, we have ...

  (g +5) +g = 21

  2g = 16 . . . . . . . subtract 5

  g = 8 . . . . . . . . . divide by 2

  b = 8 +5 = 13

Ben got 13 presents; Gwen got 8.

Step-by-step explanation:

The car travels 600 feet in 20 seconds

=> 30 feet per second

The moyorcycle travels 300 feet in 12 seconds

=> 25 feet per second

Since 30 > 25, the car travels faster than the motorcycle.

Answer:

The car

Step-by-step explanation:

It tralves 600 ft in 20 seconds as compared to the motercycle travling 600 ft in 24 seconds

Answer:

81/36

Step-by-step explanation:

81/9 is 9

9 times 4 is 36

Answer:

Hi there the answer is 81/36. Hope this helps! c:

Step-by-step explanation:

First, figure out what ratio was used to make 9, 81.

You can recall that 9 x 9 = 81.

Therefore you must multiply the bottom of the fraction by 9 as well in order to create the correct ratio.

Thus, 4 x 9 = 36.

Answer:

The answer is x=-16.

Step-by-step explanation:

I cant give you the step by step explanantion but I can later! I hope this helps thoough!

Answer:

Step-by-step explanation:

To get the value of z, we need to reduce the system of equation into two and 2 unknowns;

Add 1 and 3:

y - 12y + z + 8z = 2+12

-11y + 9z = 14 ....... 4

Also Multiply equation 1 by 3 and subtract from 2

Eqn 1 * 2 will give 3x + 3y + 3z = 6

Subtract from eqn 2;

3y-(-2y)+3z-2z = 6-(-8)

5y+z = 14 ....5

Solve 4 and 5

-11y + 9z = 14 * 5

5y+z = 14 * 11

________________

-55y + 45z = 70

55y + 11z = 154

Add both

45z+11z = 70+154

56z = 224

z= 224/56

z = 4

Hence the value of z is 4

Step-by-step explanation:

here is ur answer pls check it

Answer:

B

Step-by-step explanation:

Here, we want to calculate the square root of -√- (75)

That will be

-√(25)(-3)

= -5 √(-3)

√(-3) is same as 3i

So we have the root as;

-5i√3

Answer:

a. $9.72

b. $11.60

Step-by-step explanation:

$9.39*(1+(3.5/100)) = $9.72

$9.39*(20/100) = $1.88

$9.72+$1.88 = $11.60

Answer:

B) 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 5

Hypotenuse c = 13

Step 2: Solve for x

Answer:

Which number is the slope of the line shown by the equation?

B. 40

Which number is the y-intercept

D.75

Step-by-step explanation:

The formula for the Equation of a line =

y = mx+b

where:

m is the slope and b is the y-intercept.

Hence, interpreting the above question:

On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour.

x is the number of hours and y is the total fee.

Hence, the Equation we have is:

y = $40 × x + 75

y = 40x + 75

Comparing with the Equation of a line formula

= y = mx+b

Therefore:

The slope of the line = 40

The y intercept = 75

Answer:

9.8 because of the rate that is given

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

because the negatives would be below  or to the left and 4,1 is below is

Answer:

A (2,3)

plato :)

Answer:

[tex]B.\ 14.4\ units[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Coordinates\ of\ Endpoint\ O=x_1,y_1=(-2,9)\\Coordinates\ of\ Endpoint\ A=x_2,y_2=(6,-3)\\As\ we\ know\ that,\\The\ length\ of\ line\ segment\ OA\ or\ u\ is\ the\ distance\ between\ its\ endpoints\\ O\ and\ A.\\Hence,\\The\ linear\ distance(d)\ between\ any\ two\ points\ on\ a\ cartesian\ plane,\\ is\ given\ by\ the\ Formula:\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Hence\ here,\\[/tex]

[tex]In\ order\ to\ find\ the\ distance\ between\ O\ and\ A,\ we\ just\ need\ to\ plug\ in\\ its\ respective\ coordinates\ in\ the\ Formula\ above.\\Hence,\\Distance\ between\ O\ and\ A= \sqrt{(6-(-2))^2+(-3-(9))^2} \\Distance\ between\ O\ and\ A= \sqrt{(6+2)^2+(-3-9)^2}\\Distance\ between\ O\ and\ A= \sqrt{(8)^2+(-12)^2}\\Distance\ between\ O\ and\ A= \sqrt{64+144}\\Distance\ between\ O\ and\ A= \sqrt{208}\\Distance\ between\ O\ and\ A \approx 14.42\ or\ 14.4\ units[/tex]

Answer:

1. W = 50 ft

2. L = 110 m

3. L = 61 m

Step-by-step explanation:

Area of a Rectangle

Given a rectangle of width W and length L, its area is calculated by the formula:

A = W.L

We are given three rectangle-shaped figures and are required to find different measures as explained below.

1. Length L=94 ft, Area = 4,700 square ft

We'll find the width by solving for W:

[tex]\displaystyle W = \frac{A}{L}[/tex]

[tex]\displaystyle W = \frac{4,700}{94}[/tex]

W = 50 ft

2. A=8,250 square m, W=75 m

We'll find the length by solving for L:

[tex]\displaystyle L = \frac{A}{W}[/tex]

[tex]\displaystyle L = \frac{8,250}{75}[/tex]

L = 110 m

3. A=1,586 square m, W=26 m

We'll find the length by solving for L:

[tex]\displaystyle L = \frac{A}{W}[/tex]

[tex]\displaystyle L = \frac{1,586}{26}[/tex]

L = 61 m

Answer: f(x) = 195 - x*5

Step-by-step explanation:

Colton has 120 small prizes and 75 larger prizes.

Then at the start, he has 120 + 75 = 195 prizes.

In each bag, he puts 3 small prizes and 2 larger prizes, then in each bag there are 3 + 2 = 5 prizes.

Then if he fills x bags, he will have: x*5 fewer prizes, then we can write the equation f(x) as:

f(x) = 195 - x*5

Where when x = 0, this means that he filled zero bags, then he has the initial amount of prizes, 195.

Answer:

......................................................................................

Step-by-step explanation:

Answer:

i=-12

Step-by-step explanation:

Answer:

No because when you divide a whole number by a fraction you always get a quotient that is smaller than the whole number.

Step-by-step explanation:

Answer:

Idk They are right

Step-by-step explanation:

Look a person on top and Give them them Big B

Answer:

65

85

Step-by-step explanation:

Exactly one of the two requirement

Maths only = 45 - 20 = 25

Science only = 60 - 20 = 40

Exactly one = (25 + 40) = 65

B.) Atleast one :

(25 + 40 + 20) = 85

C) Neither :

140 - 85 = 55

Answer:

Location & label of beef weights  - arranged in ascending order, located on number line

Step-by-step explanation:

Location & label of beef weights { In ascending order, from left to right on number line}

1  ( = 1) < 1.05 < 1.058 < 1.25

The above ascending order arrangement (from lightest to heaviest weight) is : the arrangement in which - the numbers will be arranged on number line, from left to right.

Answer:

- 7/11 = 0.636363

- 18/25 = -0.72

lenght :

[tex]2x - 3[/tex]

breadth :

[tex]4x + 5[/tex]

AREA = LENGTH × BREADTH

[tex] = (2x - 3) \times (4x + 5)[/tex]

multiplying the above gives :

[tex] = 8 {x}^{2} + 10x - 12x - 15[/tex]

[tex] = 8 {x}^{2} - 2x - 15[/tex]

Answer:

30 is your constant

Step-by-step explanation:

y = 4x + 30 ends up being your equation and a constant is the # without a variable. That is why the constant would be 30.

Answer:

A general lineal equation is written as:

y = a*x +b

Where a is the slope (also called the rate of change) and b is the y-intercept-

For a line that passes through the points (x1, y1) and (x2, y2)

The slope will be:

a = (y2 - y1)/(x2 - x1)

For the line:

Y= (8/5)*x+ 3/5

The slope, or rate of change, is 8/5.

Then we want to find two points (x1, y1) and (x2, y2) such that the slope generated by them is larger to 8/5.

There are a lot of ways to finding these points, a simple way is:

We could define (x1, y1) = (0, 0)

And (x2, y2) = (5, 9)

Then the rate of change of the line that passes through these two points will be

a = (9 - 0)/(5 - 0) = 9/5

Which is larger than 8/5, as we wanted.

Answer:

a=3.63

Step-by-step explanation:

Isolate the variable by dividing each side by factors that contain the variable.

Answer:

232.5

Step-by-step explanation:

If you take 15.50 and multiply it by 15 you get 232.5 if its wrong my apologies

Answer: $2.33

Step-by-step explanation:

Your formula for percent is % times X = Y.

So you multiply 15% x 15.50 and you get 2.325 and you round it up and the 5 makes your 2 go to a 3 and you get $2.33

Answer:

$4/ticket; .25ticket per dollar

Step-by-step explanation:

Tyler paid $16 for 4 raffle tickets.

Part 1: What is the price per ticket?

Part 2: How many tickets per dollar?

For part 1, you will divide $16 by 4 tickets.

16/4=4

You can get 4 tickets for $16 so that's $4/ticket.

For part 2, you already know that it is $4 for one ticket. The question wants to know how many tickets you will get for $1. To find this answer you will divide 1 by 4.

4/1 = .25

So you can get .25 of a ticket per dollar.

Answer:

no solution

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The commonly used symbols for ratios are a colon or a fraction bar. Words can also be used.

  6 : 7 = 6/7 = 6 to 7

__

When the ratio is part of a proportion, then it might be written ...

  6 is to 7

as in ...

  6 : 7 :: 12 : 14 . . . . . . . 6 is to 7 as 12 is to 14

Answer:

10, 28, 46, 82

Step-by-step explanation:

this could be wrong im  not very good with domain and range