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frutty [35]
2 years ago
15

You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How muc

h olive oil and balsamic vinegar do you use?
Mathematics
1 answer:
Dafna11 [192]2 years ago
8 0

Hey there!

Let's write this as a ratio/proportion.

\frac{olive oil}{balsamic vinegar} = \frac{2.75}{1.5}

The sum of this basic ratio is 4.25.

To figure out how much of each we have for 34, we divide this 34 by 4.25, our sum of the two ingredients. This will give us a factor we can multiply our two ingredient measurements by.

34/4.25=8

Now, we multiply our two ingredients by eight.

2.75(8)=22

1.5(8)=12

Note that these two add up to make 34 tablespoons.

Therefore, we have...

22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar were used in the 34 tablespoons of bread dip.

I hope this helps! Have a great day! :)

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Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what
Vlada [557]

Answer:

5:00 pm

Step-by-step explanation:

Let

x -----> the umber of hours

y ----> the total distance in miles

we know that

The distance is equal to the speed multiplied by the time

Find out the distance traveled by Ariel at 11:00 am

11:00 am-09:00 am=2 hours

45(2)=90 miles

so

<em>Ariel's linear equation is</em>

y=45x+90 ----> equation A

<em>Ariel's brother linear equation is</em>

y=60x ----> equation B

Equate equation A and equation B

60x=45x+90

Solve for x

60x-45x=90

15x=90

x=6\ hours

Adds 11:00 am + 6 hours=17:00 =5:00 pm

6 0
2 years ago
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3 kid's meal for his little brother. Charlie has $
Dominik [7]
Inequality:
5x - 3 ≤ 28

Answer:
5x - 3 <span>≤ 28
5x </span><span>≤ 31
x </span><span>≤ 31/5 or 6.2 ($6.20)</span>
8 0
2 years ago
Read 2 more answers
The percent decrease from 12 to 9 is equal to the percent decrease from 40 to what number
Zina [86]
(12 - 9) / 12 = (40 - x) / 40
3/12 = (40 - x) / 40
40(1/4) = 40 - x
10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percent decrease from 40 to 30
8 0
2 years ago
What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)
7 0
2 years ago
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Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of
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Answer:

m = -2 and b = -1/3

m = -2 and b = -2/3.

Step-by-step explanation:

y = -2x - 1/3

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This system has no solutions because y cannot be 2 different values at once.

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2 years ago
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