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Ugo [173]
3 years ago
15

1. Trevor saves 2/3 of the money he earns at his

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Trevor will be saving less amount

<u>Step-by-step explanation:</u>

To know whether he will save less, more or the same amount, we need to find \frac{1}{4} \times \frac{2}{3} and then compare with \frac{2}{3}

Now, combine the fractions using the rule:

              \frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}

              \frac{1}{4} \times \frac{2}{3}=\frac{1 \times 2}{4 \times 3}=\frac{2}{12}=\frac{1}{6}

\frac{1}{4} \times \frac{2}{3} is less than the fraction \frac{1}{4}. Hence, concluding that Trevor will be saving less than \frac{2}{3} amount.

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A car is 165 inches long. A truck is 65% longer than the car.<br> How long is the truck?
zmey [24]

Answer:

262.25 inches

Step-by-step explanation:

65% of 165 is 107.25

107.25+165=272.25

so the truck is 262.25 inches long

4 0
3 years ago
GUYS I NEED HELP PLSSSSSS! Ive been working on this ALL day!
Vika [28.1K]

First, let's write what we know.

We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.

Then, taking the third line, we can write an inequality:

C < L < G

C < 7 < C + 4

C - 4 < 3 < C

3 < C < 7

If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.

Then, we need to find how many students are in the play.

C + L + G

C + 7 + C + 4

2C + 11

So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.

0.3T = 2C + 11

(Divide by 3/10 or multiply by 10/3 on both sides)

T = 20/3 C + 110/3

We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.

T = 20/3 * 4 + 110/3

T = 190/3

T = 20/3 * 5 + 110/3

T = 210/3

T = 70

T = 20/3 * 6 + 110/3

T = 230/3

We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class.  We now need to figure out the number of student in her class.

The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.

4 0
3 years ago
Which of the following are valid probability distributions for a discrete random variable
Radda [10]
All of them except B and C.  Probabilities must add to 1 and none of the p's can be negative
8 0
3 years ago
Read 2 more answers
11=12-q <br><br> Step by step in numbers
Lina20 [59]

Answer:

q = 1

Step-by-step explanation:

11=12-q\\\\12-q=11\\\\12-12-q=11-12\\\\-q=-1\\\\\frac{-q=-1}{-1}\\\\\boxed{q=1}

Hope this helps.

3 0
3 years ago
Alex has 4 less than twice the number baseball cards as leo. ginny has 12 more than three times the number of baseball cards Leo
marin [14]
Alex has 128 baseball cards, Leo has 66 cards, and ginny has 210.
6 0
3 years ago
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