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Alborosie
3 years ago
8

Laura is three times as old as Luci. In 5 years, the sum of their ages will be 30. What are the current ages of Laura and Luci?

Mathematics
1 answer:
Scrat [10]3 years ago
4 0

Answer:

Laura is 15 and Luci is 15.

Step-by-step explanation:

Now...

Laura - 3x

Luci - x

In 5 years...

Laura - 3x+5

Luci - x+5

The sum of that is...

4x+10=30

-10       -10

4x=20

4/4  20/4

x=5

If...

Laura - 5 than.....

Luci - 15 because 5*3 is 15

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James is six years older than lousie. Eight years from now, James will be 4 times older than loise was 4 years ago. What is the
weeeeeb [17]

Answer: 26 years.

Step-by-step explanation:

Let x = current age of Louise  (in years).

Then current  age of James =  x+6

Eight years from now, James's age = x+6+8= x+14

4 years ago, Louise's age = x-4

According to the question

x+14 = 4(x-4)

⇒ x+14 = 4x-16

⇒ 4x-x = 16+14

⇒ 3x = 30

⇒ x= 10 = current age of Louise  (in years).

current  age of James =  10+6 = 16 years

Sum of current ages = 16+10=26 years.

hence, the sum of the current ages is 26 years.

8 0
3 years ago
Asher is asked to find the factors of 10. His work is below.
Assoli18 [71]

Answer:

  • B and D

Step-by-step explanation:

<u>Answer choices:</u>

A) Asher made errors in multiplication.

  • No, the products are correct

B) Asher found multiples of 10, not factors of 10.

  • Yes

C) Asher should have multiplied 10 × 4 as well.

  • No, 4 is not one of the factors of 10

D) Asher should have gotten this as the answer: 1, 2, 5, and 10.

  • Yes, these are the true factors of 10

E) Asher should have gotten this as the answer: 10, 20, 30, 40, …

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5 0
2 years ago
A cube has a side length of 6 cm. What is the volume of the cube, in cubic centimeters ​
Lady_Fox [76]

Answer:

V=216cm³

Step-by-step explanation:

V=216cm³

3 0
3 years ago
∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.<br>(show work please)
marissa [1.9K]

Answer:

156

Step-by-step explanation:

Since, ∠CAT and ∠TAD is a linear pair.

Therefore,

∠CAT + ∠TAD = 180°

14° + (x + 10)° = 180°

(x + 24)° = 180°

x + 24 = 180

x = 180 - 24

x = 156

3 0
3 years ago
The distribution of individual incomes in the United States is strongly skewed to the right. In 2013, the mean and median income
vesna_86 [32]

Answer:

The mean would be $322,343 and the median would be $196,723.

Step-by-step explanation:

Since the distribution of individual incomes is skewed to the right, it means that the distribution has a long right tail.

Drawing a distribution with this characteristic, we can see how the majority of the data falls into the left side of the graphic, meaning that a lot of people receive less income. Following this reasoning, the mean which is the amount of the data (in this case individual income) divided by the amount of people, would be the higher number, meaning that the few people who earn more money would influence in making this number higher.

Following this reasoning, the median (which is not influenced by this difference) would be the less high number.

5 0
3 years ago
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