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4 years ago

Solve equation for y. x/a + y/b = 1

1 answer:

8 0

Subtract x/a from both sides.

y/b=1-x/a

Multiply by b on both sides.

y=b(1-x/a)

If you want, you can leave it like that or you can distribute the b through.

y=b-bx/a

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Yuliya22 [10]

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4 years ago

A pair of dice is rolled in a remote location and when you ask an honest observer whether at least one die came up six, this hon

LiRa [457]

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3 years ago

Paul's mp3 player has a total of 852 songs. He has 4 different groups of songs. If he puts an equal number of songs in each grou

Igoryamba

Answer:

There will be 213 songs in each group.

Step-by-step explanation:

Suppose, the number of songs in each group is $x$

As he has 4 different groups of songs, so the t<u>otal number of songs in all 4 groups</u> will be: $(4*x)= 4x$

Given that, the mp3 player has a <u>total of 852 songs</u>. So, the equation will be........

$4x=852\\ \\ x=\frac{852}{4}=213$

So, there will be 213 songs in each group.

5 0

4 years ago

Read 2 more answers

it costs $x for a round trip bus ticket to the mall. You have $24. Write an inequality to represent the greatest amount of money

Nataliya [291]

Answer: $x + 18.99 \leq 24$

Step-by-step explanation:

Since, the cost of bus fair = x dollars,

Also, a baseball cap which is $18.99 is needed to buy with the given money,

Hence, total expenditure = x + 18.99

While the given money for spending = 24 dollars,

That is, the expenditure can not be exceeded to $ 24.

Thus, the required inequality,

$x + 18.99 \leq 24$

4 0

3 years ago

The function f(x) = –x2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is th

Sholpan [36]

Answer:

A. We factor the equation to get: -(x-25)^2+361 In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.

B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.

Step-by-step explanation:

f(x)=−(x2−60x+900−900)−116

f(x)=−(x−30)2+784

Maximum Profit=784

Vertex is (30, 784)

maximum profit is when x wind-shields are repaired.

−x2+60x−116=0

x2−60x+116=0

x2−2x−58x+116=0

x(x−2)+58(x−2)=0

(x−2)(x−58)=0

x=2,58

x intercepts are x=2, x=58

at these points there is no profit or loss.

3 0

4 years ago

Read 2 more answers