Find 20-24 using the picture provide

Family Video charges $10 for

Irina18 [472]

Answer:

4 movies, $20

Step-by-step explanation:

Given data

Family Video

charges $10 for a monthly membership and

$2.50 per movie

let the number of movies be x

and the charge for x movies be y

y= 10+2.5x----------1

Babe's Movies

charges a $12

membership and $2 per

movie.

let the number of movies be x

and the charge for x movies be y

y= 12+2x----------2

equate 1 and 2

10+2.5x= 12+2x

collect like terms

12-10= 2.5x-2x

2= 0.5x

x= 2/0.5

x= 4 movies

put x= 4 in equation 1 or 2

y= 12+2x----------2

y= 12+2*4

y= 12+8

y= $20

4 0

2 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need

Andreas93 [3]

Answer: $\frac{3}{4}\ cup$ of quinoa, $\frac{3}{8}\ cup$ of flaxseed, $1\ cup$ of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.

Based on the table you can write the following proportion:

$\frac{\frac{1}{2} }{2}=\frac{q}{3}$

Solving for "q", you get:

$\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}$

Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

$\frac{\frac{1}{4} }{2}=\frac{f}{3}$

Solving for "f", you get:

$\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}$

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

$\frac{\frac{2}{3} }{2}=\frac{s}{3}$

Solving for "s", you get:

$\frac{1}{3}=\frac{s}{3}\\\\s=1$

6 0

2 years ago

Use the function below to find F(2) F(x)=1/3•4

Drupady [299]

Answer:

7477rurjerjrjjrjdjfid

5 0

2 years ago

3=c/5+2... how do I solve for c??

expeople1 [14]

Primeiro Você IRA Dividir o c (APENAS Colocar 5 + 2 embaixo do c). Depois faça a soma 5 + 2 = 7. Então faça o mmc (mínimo múltiplo comum) entre 7 e 1(o 1 é invisível, mas continua estando embaixo do 3). Deu 7 o mmc. Transforme seus números em frações, com o denominador 7. Transforme os números em frações o 3 virá 21, pois você divide em baixo e multiplica em baixo, e o c continua normal, pois já estava em baixo de 7. Como é para descobrir uma incógnita você tira os denominadores e ficará 21 = c.

3 = c/5 + 2
3 = c/7
21/7 = c/7
21 = c

4 0

2 years ago

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