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3 years ago

Abby has 49 coins, consisting only of dimes and quarters, worth $8.35. How many dimes and how many quarters does she have?

1 answer:

4 0

Let q represent the number of quarters Abby has. Then the number of dimes she has is 49-q. The total amount of money she has in dimes and quarters is ...

25q +10(49 -q) = 835

15q + 490 = 835 . . . . . . simplify

q = (835 -490)/15 = 23 . . . . solve for q

Abby has 23 quarters and 26 dimes.

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A bottle rocket is launched straight up. Its height in feet (y) above theground x seconds after launch is modeled by the quadrat

bazaltina [42]

The eqution of height y in terms of the time x is

$y=-16x^2+116x+7.$

We are asked when the rocket will strike the ground, so that is the same that sayin when will the rocket's height will be zero again, that is, y=0. so we have to solve

$-16x^2+116x+7=0.$

the solutions of this equations are

$x=\frac{-116\pm\sqrt[]{116^2-4(-16)(7)}}{2(-16)}=\mleft\{\begin{aligned}-0.05 \\ 7.3\end{aligned}\mright.$

So, the rocket will strike the ground after 7.3 seconds

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1 year ago

Will likes two brands of healthy breakfast cereal. In Superfiber cereal, there are 5 grams of fiber in one cup. In Fiber Oats ce

Katen [24]

Let x <u>represent</u> the <u>number of cups</u> of Superfiber Will ate this week and let y represent the number cups of Fiber Oats he ate this week.

1. If in Superfiber cereal, there are 5 grams of fiber in one cup, then in x cups there are $5\cdot x=5x$ grams of fiber.

2. If in Fiber Oats cereal, there are 4 grams of fiber in one cup, then in y cups there are $4\cdot y=4y$ grams of fiber.

3. The total amount of fiber Will ate is $5x+4y$ grams.

4. This week Will ate at least 30 grams of fiber. Then

$5x+4y\ge 30.$

Answer: correct choice is A.

7 0

3 years ago

Read 2 more answers

If you are good at 9th grade math tell me and send me your number so we can text I really need a tutor or just help please

horrorfan [7]

Answer:

I'm super sorry that i can't help but if i could get you to my brother and ask him for his number i bet he'll be able to help. ;) and if u r a girl he's pretty desperate for a girlfriend so ..... yeah

Step-by-step explanation:

hope this helps and also hope my brother can help byyyyyeeeee

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3 years ago

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A die is rolled twice. What is the probability of getting either a multiple of 2 on the first roll or a total of 8 for both roll

Nuetrik [128]

Answer:

Step-by-step explanation:

let A=favorable outcomes for getting multiple of 2

they are 21,22,23,24,25,26,

41,42,43,44,45,46,