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4 years ago

Kelly ate 3 apples. this represents 50% of the bag of apples.how many apples were originally in the bag?

2 answers:

8 0

I will tell you the answer, and you can comment if you want to find out how I got it!

The answer is 6 apples

Hope this helped!

Comment if you have questions!!!

Mariana [72]4 years ago

7 0

There were 6 apples in the bag

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Naomi and Sofia go to the movie theater and purchase refreshments for their friends. Naomi spends a total of $111.25 on 9 drinks

NeTakaya

Answer:

111.25=9x+8y

33.25=3x+2y

Cost of 1 popcorn bag = $5.75

Step-by-step explanation:

We are given that Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn and Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn.

We need to find system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

Let cost of 1 drink = $x

So, cost of 9 drinks = $9x

So,cost of 3 drinks = $3x

Now, Let cost of 1 popcorn bag = $y

So,Cost of 8 popcorn bags = $8y

So,Cost of 2 popcorn bags = $2y

Since Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn.

So, equation will be : 111.25=9x+8y --(A)

Since, Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn.

Thus, equation will be : 33.25=3x+2y--(B)

We will solve A and B by using substitution method

Finding value of x from equation B :

x = (2y-33.25)/3

Putting this value in Equation (A)

⇒111.25=9{(2y-33.25)/3}+8y

⇒111.25=99.75-6y+8y

⇒111.25=99.75+2y

⇒y = 5.75

Hence cost of 1 popcorn bag =y = $5.75

Now put value of y in equation A to get value of x

⇒111.25=9 x+8(5.75)

⇒111.25-46 = 9x

⇒65.25 = 9x

⇒65.25/9 = x

⇒$7.25 = x

Hence, The cost of 1 drink = $x = $7.25

6 0

3 years ago

Which expressions, written to the right of the equals sign, would complete this equation so that it has one solution? 4(2x – 3)

Sav [38]

The expression <span>4(2x – 3) – 4x is equal to 4·2x-4·3-4x=8x-12-4x=(8x-4x)-12=4x-12.
</span>
1. 4x-12=4x-12, then 0=0. This equation has infinite amount of solutions;
2. 4x-12=3x-4,4x-3x=-4+12,x=8. This equation has one solution.
3. 4x-12=3(2x-6),4x-12=6x-18,4x-6x=-18+12,-2x=-6,x=3. This equation also has one solution.
4. 4x-12=4(x-5),4x-12=4x-20,4x-4x=-20+12,0=-8 is not right equality, then this equation hasn't solutions.
Answer: Correct choices are B and C.
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8 0

3 years ago

2. Calculate an expression for dy/dx and d2y/dx2 in terms of t if the parametric pair is given as tan(x) = e^at and e^y = 1 + e^

Ber [7]

I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives

sec²(x) dx/dt = a exp(at)

Recall that

sec²(x) = 1 + tan²(x)

Then we have

(1 + tan²(x)) dx/dt = a exp(at)

(1 + exp(2at)) dx/dt = a exp(at)

dx/dt = a exp(at) / (1 + exp(2at))

If exp(y) = 1 + exp(2at), then differentiating with respect to t yields

exp(y) dy/dt = 2a exp(2at)

(1 + exp(2at)) dy/dt = 2a exp(2at)

dy/dt = 2a exp(2at) / (1 + exp(2at))

By the chain rule,

dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)

Then the first derivative is

dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))

dy/dx = (2a exp(2at)) / (a exp(at))

dy/dx = 2 exp(at)

Since dy/dx is a function of t, if we differentiate dy/dx with respect to x, we have to use the chain rule again. Suppose we write

dy/dx = f(t)

By the chain rule, the derivative is

d²y/dx² = df/dx

d²y/dx² = df/dt • dt/dx

d²y/dx² = (df/dt) / (dx/dt)

d²y/dx² = 2a exp(at) / (a exp(at) / (1 + exp(2at)))

d²y/dx² = 2 (1 + exp(2at))

4 0

2 years ago

1. what would the answer be

Mandarinka [93]

First add one to both sides
so 1/5x is less then or equal to 5
then multiply both sides by 5
so x is less then or equal to 25

5 0

4 years ago

Read 2 more answers

What is the rule for the reflection?

olga2289 [7]

i cant see the pic Step-by-step explanation:

7 0

3 years ago