All categories

3 years ago

Tom is 10 years old. His sister Lizzy is 4/5 Tom's age. Tom's mum is 4.25 times as old as Lizzy. How old is Tom's mum?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

Tom's mum is 34 years old.

Step-by-step explanation:

So, Tom is 10 years old, and Lizzy is 4/5 Tom's age. What you want to do is convert that fraction into a decimal which leaves you with 0.80. You then have to multiply 0.80 by 10, which gives you 8. After that, all you have to do is multiply 8 by 4.25, which leaves you with 34. This means Tom's mum is 34 years of age.

You might be interested in

In a particular week, Mary

Finger [1]

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

7 0

2 years ago

Read 2 more answers

What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters? A. 5 m B. 10 m C.

Rzqust [24]

Answer:

B.10

Step-by-step explanation:

15=1/2b(3)

30=3b

10= base

4 0

2 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

3 years ago

what is the length of the hypotenuse of a right triangle with legs that measure 8 and 13 cm round the answer to the nearest hund

atroni [7]

Use pythagoreaan theorem
a^2+b^2=c^2
a and b are teh legnth s of the legs
c is the legnt o fthe hyptonuse

8^2+13^2=c^2
64+169=c^2
233=c^2
square root both sdies
aprox 15.264=c

the legnth is aprox 15.26 cm

4 0

2 years ago

Read 2 more answers

What is (+12) – (-8)?

Sergio [31]

Answer:

+12+8＝+20

Step-by-step explanation:

Hope it helps you!

3 0

2 years ago

Read 2 more answers