Caleb is making a soil mix that is 3 parts peat moss to 12 parts dirt. How much dirt should he use for every 1 cup of peat moss?
A He should add cup of dirt
B. He should add cup of dirt.
4
He should add 3 cups of dirt.
He should add 4 cups of dirt

Complete question is;

Summer and Autumn are friends who live 25 miles apart and they are training for a long race. On wednesday after school, they ran toward each other’s houses to meet up. They left their houses at 4pm and met at 6 pm. Summer ran an average rate of 8 ½ miles per hour faster than autumn. What is the average speed of each?

Answer:

Autumn's average speed is 1.3158 mph

Summer's average speed is 11.1843 mph

Step-by-step explanation:

We are told that they live 25 miles from each other.

They left their houses at 4pm and met at 6 pm. This means they met 2 hours later.

Now, summer ran 8.5 mph faster than autumn.

This means if autumn's speed is "x", then summer ran 8.5x mph

Thus, total distance covered by summer is; d_summer = 8.5x * 2 = 17x

Total distance by autumn is; x * 2 = 2x

Since their houses are 25 miles apart.

Thus;

17x + 2x = 25

19x = 25

x = 25/19

x = 1.3158 mph

Thus, autumn's speed is 1.3158 mph

Summer's speed is 1.3158 × 8.5 = 11.1843 mph

Answer:

Step-by-step explanation:

Does can does

Answer:

does not cannot does not

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Read it as a row that gives you the answer

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

Step-by-step explanation:

Hope this helps :)

Answer:Frenquency

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Kindly find attached a description of Logan's suit case

given data

dimension of suitcase

adj, length=24in

opp, width=18in

dimension of base ball bat= 29in

we want to know if the bat can fit in the case, a way out is to solve for the diagonal or hypotenuse of the case using Pythagoras theorem.

we know that

hyp^2= opp^2+adj^2

hyp=√opp^2+adj^2

hyp=√18^2+24^2

hyp=√324+576

hyp=√900

hpy=30in

this means that the diagonal of the case is 30 in, seeing that the bat is 29 in, the bat cannot fit into the case

Since in the given situation, the diagonal of the case is 30 in and the baseball bat is 29 in, so the bat cannot fit into the case.

The dimension of a suitcase is adj length=24in and opp width=18in

Now here we apply the above theorem for determining the diagonal or hypotenuse

So, the calculation is as follows:

[tex]hyp^2= opp^2+adj^2\\\\hyp=\sqrt opp^2+adj^2\\\\hyp=\sqrt 18^2+24^2\\\\hyp=\sqrt324+576\\\\hyp=\sqrt900[/tex]

hyp=30in

Due to the above calculations, we can say that the bat cannot fit into the case

Learn more about Pythagorean here: https://brainly.com/question/24703634

Answer:

answer of this question is 0=0

Answer:

The function form is:

f(x) = 2x - 8

Answer:

$24.60

Step-by-step explanation:

First, you need to find 20% of $30.75.

To do this, we need to divide $30.75 by 5.

20% og $30.75 is $6.15.

$30.75 - $6.15 = $24.60

I hope that this helps! :)

Answer:

Step-by-step explanation:

C. Cost = $19 x u + $9shipping fee

So k = 19u + 9

The function that represent the information is k = 19u + 9

The shipping fee = $9

The company charges $19 per costume.

The shipping fee is acting like a constant in the linear equation while the amount charged for the costumes is dependent on the value u, which is the number of costumes purchased.

k = total cost

number of costumes she orders = u

Therefore, the equation can be represented as follows

k = 19u + 9

For more information check :  

https://brainly.com/question/18787700?referrer=searchResults

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

Answer:

y= -3x+6

Step-by-step explanation:

Answer:

The vertical asymptote is x = -3

Step-by-step explanation:

Vertical asymptotes are found by setting the equation in the denominator equal to zero.

x+3=0

To solve for x, all you need to do is bring the 3 to the other side of the equation in order to isolate the x. By doing so the 3 become negative because you switched sides of the equation.

Answer: -3

Step-by-step explanation: A P E X

The monthly interest is $1.15.

Answer:

$255.20

Step-by-step explanation:

Answer:

7. Perimeter = x+12

8.  Area = 3x² +19x-8

Step-by-step explanation:

Perimeter -To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.

Area -The area A of a rectangle is given by the formula, A=lw, where l is the length and w is the width.

Answer:

$10

Step-by-step explanation:

Total amount earned = $2400

Less: federal and state taxes, social security, and health insurance = $550

Balance = $2400 - $550

=$1,850

Less : Rent = $1,000

Balance = $1,850 - $1,000

= $850

Less: insurance = $700

Balance = $850 - $700

= $150

He has to divide the remaining total up equally and make it last for 15 days

Amount to spend per day = $150 / 15 days

= $10 per day

Answer:

0.02

Step-by-step explanation:

Answer:

Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).

Step-by-step explanation:

hope this helps

Crown me as brainliest:)

Answer:

Each microphine cost $21

Step-by-step explanation:

Equation: (38+c) 6 = 354

(38+c) 6 = 354        distribute 6 into 38 and c

38*6 + c*6

 \/        \/

228 + 6c = 354       Subtract 228

-228           -228

----------------------------

6c = 126                  divide 6

÷6     ÷6

-------------

c = 21

:)

Answer:

(2, 6)

Step-by-step explanation:

If it starts at x1 and y4, and you move two up it goes to y6 and then you move 1 to the right and it ends up at x2.

Answer:

1.2

Step-by-step explanation:

if you multiply 1.2 X 10 is 12

Answer:

75%

Step-by-step explanation:

yep

Answer:

63% im pretty sure :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/5 is .6

2/5 is .4

-.6+.4 is -.2 or

-3/5+2/5

-1/5

Answer:

Ana tiene 166,67 dólares, mientras que Sergio tiene 333,33 dólares.

Step-by-step explanation:

Consideramos que la mejor estrategia para resolver este problema consiste en leer cuidadosamente cada frase del enunciado, traducirlo matemáticamente y utilizar software gráfico para determinar la solución de las ecuaciones resultantes:

1) Entre Ana y Sergio tienen $ 500

[tex]x + y = 500[/tex] (Eq. 1)

Donde:

[tex]x[/tex] - Cantidad de dinero de Ana, medida en dólares.

[tex]y[/tex] - Cantidad de dinero de Sergio, medida en dólares.

2) Sergio tiene el doble de dólares que Ana

[tex]2\cdot x - y = 0[/tex] (Eq. 2)

En consencuencia, tenemos un sistema de dos ecuaciones lineales con dos incógnitas, lo que nos permite la posibilidad de encontrar una solución única y utilizar un plano cartesiano para su resolución. Mediante software gráfico (véase imagen adjunta) encontramos que la solución del sistema es:

[tex](x,y) = (166,67, 333,33)[/tex]

Ana tiene 166,67 dólares, mientras que Sergio tiene 333,33 dólares.

Answer:

Total amount deposited in checks is $1490

Step-by-step explanation:

Amount deposited by Yamata = $2235.

The amount of checks is twice the amount of currency deposited. Let the amount of currency deposited be represented by x.

So that,

Amount of checks = 2x, then;

2x + x = 2235

3x = 2235

x = [tex]\frac{2235}{3}[/tex]

  = 745

The amount of currency deposited is $745.

Therefore,

amount deposited in checks = 2 x $745

                                              = 1490

Total amount deposited in checks is $1490.

Answer:

10

Step-by-step explanation:

because each pizza is 11.99 and you can get three toppings, so 30 divided by 3 is 10, so you can get three different pizza.

Answer:

I think 10 pizzas.

Step-by-step explanation:

Answer:

Step-by-step explanation:

10:3 i believe

Answer:

9:31

Step-by-step explanation:

I guess since there arent any other mentioned its only black and brown horses so it would be 9:31

Answer:

48=2(x+4)+2x

Step-by-step explanation:

Step one:

given data

Perimeter= 48ft

let the with be x

length= x+4

Step two:

the expression for the perimeter is

P=2L+2W

substituting

48=2(x+4)+2x

48=2x+8+2x

solve for x

48=4x+8

48-8=4x

40=4x

x=40/4

x=10ft

Step three:

the width is 10 ft

the lenght= x+10

length= 10+10= 20ft

Answer:

I think the answer is 6 so if wrong

Answer:

nope...

Step-by-step explanation: