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3 years ago

10

Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.

1 answer:

RSB [31]3 years ago

7 0

The value of y is 3 when x is 6.

Solution:

The given table is the amount of cheese in ounces and the cost price.

Let x represents the amount of cheese and y represents the cost price.

The formula which derived from the table is y = x ÷ 2.

That is $$y=\frac{x}{2}$ .

<u>To find the value of y when x is 6:</u>

$$y=\frac{x}{2}$

Substitute x = 6 in the formula, we get

$$y=\frac{6}{2}$

y = 3

Hence the value of y is 3 when x is 6.

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Anni [7]

Answer:

use photo math copy and paste it

Step-by-step explanation:

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2 years ago

A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog’s speed is 150 feet per minute. The squi

puteri [66]

Set up the equation as follows:

$150x = 100x + 200$

150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.

Subtract 100x from both sides.

$50x = 200$

Divide both sides by 50.

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It will take the dog 4 minutes to catch up with the squirrel.

5 0

3 years ago

What are three consecutive integers whose product is 480 more than their sum?

Natali [406]

Answer:

The three numbers are 7 8 and 9

Step-by-step explanation:

Givens

Let the first number be n - 1
Let the second number be n
Let the third number = n + 1

Equation

(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480

Solution

Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1

Multiply the second integer by the result of the first and third: n (n^2 - 1)

Add the three integers together: (x - 1) + (n - 1) + n = 3n Combine these 2 steps

n(n^2 - 1) - 3n = 480 Remove the brackets

n^3 - n - 3n = 480

n^3 - 4n = 480

n^3 - 4n - 480 = 0

Graph

The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.

Answer

n - 1 = 7

n = 8

n + 1 = 9

Check

Product 7*8*9 = 504

Sum = 7 + 8 + 9 = 24

504 - 24 = 480 Which checks.

4 0

3 years ago

Bernadette bought two piece of ribbon .one piece is 6 1/4 feet long,and the other is 11 1/2 feet long.find the total length of t

fredd [130]

1/2 turns into 2/4 and 2/4 + 1/4 that equals 3/4 and then 11 plus 6 equals 17 3/4

4 0

2 years ago

Read 2 more answers

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

So

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

10 months ago