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Julli [10]
3 years ago
14

Megan uses 2/3 cup of almonds to make 4 cups of trail mix. Using this same proportion how many cups of almonds would Megan need

to make 9 cups of trail mix?

Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0

Answer:

Megan needs 1 and 1/3 cup of almonds to make 9 cups pf trail mix.


Step-by-step explanation:

I'm not good with ratios and fractions so I drew an illustration.

I found out that 1/6 of almond cup is equivalent to 1 cup of trail mix.

So I add 2/3+2/3+1/6

I changed the denominator of 2/3 to 6 and divided 6 by 3 then multiply the answer by 2, then the product will be the numerator.

(6÷3) = 2 (2x2) =4

So, 4/6+4/6+1/6= 9/6

Simply the sum and it will be 1 and 1/3.

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George earned a total of $342 in simple interest from two separate accounts. In an account earning 5% interest, George invested
Maslowich

Answer: he invested $6000 in the account earning 5% interest and $2100 in the other account earning 2% interest

Step-by-step explanation:

Let x represent the amount invested in the account earning 5% interest.

Let y represent the amount invested in the account earning 2% interest.

In an account earning 5% interest, George invested $1800 more than twice the amount he invested in an account earning 2%. It means that

x = 2y + 1800

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Assuming the duration for both investments is 1 year,

The interest on the first account would be

I = (x × 5 × 1)/100 = 0.05x

The interest on the second account would be

I = (y × 2 × 1)/100 = 0.02y

George earned a total of $342 in simple interest from two separate accounts. This means that

0.05x + 0.02y = 342 - - - - - - - - - - 1

Substituting x = 2y + 1800 into equation 1, it becomes

0.05(2y + 1800) + 0.02y = 342

0.1y + 90 + 0.02y = 342

0.1y + 0.02y = 342 - 90

0.12y = 252

y = 252/0.12 = 2100

x = 2y + 1800 = 2 × 2100 + 1800 = $6000

4 0
3 years ago
What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the g
Morgarella [4.7K]

Answer:

Step-by-step explanation:

3y = -2x - 5

y = -2/3x - 5/3

perp: 3/2

y - 1 = 3/2(x + 6)

y - 1 = 3/2x + 9

y = 3/2x + 10

7 0
3 years ago
Please help me with this question
Vladimir [108]

Answer: 20

Step-by-step explanation:

numbers belonging to the figure on the left are 2.5 times less than on the right so to find x multiply 8 by 2.5 and that is 20

7 0
3 years ago
Mattie uses the discriminant to determine the number of zeros the q
enot [183]

Answer:for ax^2+bx+c=0 the discriminant is b^2-4ac

there are 3 basic cases of what happens for different discriminants

1. if the discriminant is less than 0, then there are no real zeroes

2. if the discriminant is 0, then it has 1 zero

3. if the discriminant is greater than 0, it has 2 zeroes

so given

0=3x^2-7x+4

a=3,b=-7,c=4

thus the discriminant is (-7)^2-4(3)(4)=49-48=1

the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0

the answer is the equation has two zeroes because the discriminant is greater than 0

Step-by-step explanation:

3 0
3 years ago
How do i do this? teacher didn’t help me much and i don’t understand this.
Mandarinka [93]
Answer:

1. 17.3 millions phones were sold

2. 2011

3. I don’t have answer for it yet
4 0
3 years ago
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