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Arisa [49]
3 years ago
9

Sharon is the youngest in her family. Her sister Anne is 3 years older than she is. Her brother Tom is 5 years older than Anne.

The sum of their ages is 62. How old is Sharon?
Mathematics
1 answer:
eduard3 years ago
3 0
We represent Sharon's age by S; let Anne's age be A and Tom's age be T. In this case, the second statement is represented by A = 3 + S. The third statement is T = 5 + A. The fourth statement is represented by T + S + A = 62Solving the four equations: T = 25, S = 17, and A = 20. Hence Sharon's age is 17.
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About 32% of the 104 children ate a school picnic ate hamburgers. The rest ate hotdogs. How many children ate hotdogs at the pic
yuradex [85]

Answer: 71 children ate hotdogs at the picnic.

Step-by-step explanation:

Given: About 32% of the 104 children who ate a school picnic ate hamburgers.

The number of children ate hamburger = 32% of (104 children)

= 0.32 x 104

= 33.28 ≈ 33

Thus, the number of children ate hamburger = 33

Number of children ate hotdogs = 104-33 = 71

Hence, 71 children ate hotdogs at the picnic.

4 0
2 years ago
An element with mass 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest
rjkz [21]

Answer:

45.3 grams will be left

Step-by-step explanation:

Use the formula

A = P(1 - r)^t     where A is the final amount, P is the initial amount, r is the percent change as a decimal, and t is the amount of time

Plug in what we know, we are given P = 780, r = 0.163, and t = 16

A = 780(1 - 0.163)^16

Now simplify...

A = 780(0.837)^16

        A = 45.25868493  

 

                  A = 45.3

5 0
3 years ago
What is the axis of symmetry of y=x2–4x—8
miv72 [106K]
The answer is 2 I think
6 0
3 years ago
Read 2 more answers
Classify each pair of labeled angles of a complementary, supplementary, or neither.
Vsevolod [243]

Answer:

The first one is neither: 90+89=179

The second one could be either supplementary or neither: 63+47=110, but if you add the final angle measure it would be 180

The last one is complementary: 62+29=90

<em>Hope this helps; Please mark Brainliest :)</em>

8 0
3 years ago
Find<br>a,b<br>such<br>that 7.2, a, b, 3 are in A.P.​
leonid [27]

Answer:

  • The value of a = 5.8
  • The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

2a = 7.2+b

b = 2a - 7.2

as

a, b, 3 are also in A.P

2b\:=\:a\:+\:3

Putting b = 2a - 7.2

2\left(2a-7.2\right)=a+3

4a-14.4=a+3

\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}

4a-14.4+14.4=a+3+14.4

4a=a+17.4

4a-a=a+17.4-a

3a=17.4

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3a}{3}=\frac{17.4}{3}

a=5.8

Now, plugging a=5.8 in b = 2a - 7.2

b=2\left(5.8\right)-7.2

b=2\cdot \:5.8-7.2

b=11.6-7.2

b=4.4

Therefore,

  • The value of a = 5.8
  • The value of b = 4.4
4 0
3 years ago
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