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givi [52]
3 years ago
11

Write as an equation: Alice, Barbara, and Carol are sisters. Alice is 3 years younger than Barbara, and Barbara is 5 years young

er than Carol. Together the sisters are 68 years old. How old is Barbara? (Let b = Barbara)
Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

a+b+c=68

b-3=a

c-5=b

now just solve the system of equations, substitue so that there are only b's in the equation:

a+b+c=68

(b-3) + b + (b+5) = 68

3b=66

b=22

Therefore Barbara is 22

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A small junior college had an enrollment of 7,843 students in the year 1990 and 8,793 students in the year 2000. Let x=0 represe
abruzzese [7]

Correct answer is: (0,7843) and (10,8793)

Solution:-

Given that a junior college has an enrollment of 7843 students in 1990 and 8793 students in year 2000.

We have to write this data as (x,y) .

Where x= years after 1990 and y=number of students enrolled.

Since in 1990, 7843 students enrolled, x = 1990-1990=0

And y=7843.

Hence one ordered pair is (0,7843).

Let us find the years after 1990 for 2000 = 2000-1990 =10

Hence another ordered pair is (10,8793).

4 0
4 years ago
Which expression is equivalent to 8x - 12y +32
prisoha [69]

The answer is shown above

6 0
3 years ago
Read 2 more answers
Which comparisons are true? Choose all that apply. A. 7.34 > 7.304 B. 1.628 > 1.63 C. 4.05 < 4.055 D. 9.103 < 9.13 E
Nimfa-mama [501]

Answer:

The answers are A, C, & D.

Step-by-step explanation:

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B, C, D: same logic as A

6 0
3 years ago
Please help .... Jeff is traveling from Atlanta to Columbia and then to Charleston. He decides to plot the cities on a coordinat
Crazy boy [7]

Answer:

The answer is C

Step-by-step explanation:

Use the Pythagoras theorem which states that a2 = b2 + c 2

For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively

Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.

a, which represents the distance between Colombia and Charleston would be

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a = √[(3)² + (-11)²]

Hence the answer is C

5 0
3 years ago
An online DVD rental company offers gift certificates that you can use to purchase rental plans. You have a gift certificate for
Luden [163]

Answer:

6 months you can purchase with the gift certificate.

Step-by-step explanation:

Given

You have a gift certificate for $30.

Step 1 of 1

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$5 \times m=30$

$\frac{5}{5}  \times m=\frac{30}{5} $

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