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evablogger [386]
2 years ago
14

A boy's age is three times the age of his sister. Their ages together total 16 years.

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
8 0

Answer:

Sister's age: 4

Brother's age: 12

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A boat traveld 27 miles in 2 hours. At this rate ow many miles will the boat travel in .5 hour?
Andrew [12]

You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.

6 0
3 years ago
What are the zeros of the graphed function y = 1/3 (x + 3)(x + 5)?
Darya [45]

One factor will be zero, hence y will be zero, when x=-3.

The other factor will be zero, hence y will be zero, when x=-5.

The zeros of the function are x ∈ {-5, -3}.

_____

This solution makes use of the "zero product rule," which states a product is zero if and only if one or more factors is zero.

5 0
3 years ago
Two pipes running together can fill a tank in 20 minutes.
Hunter-Best [27]

Answer:

45, 36

Step-by-step explanation:

let x y minutes be the time for pipes to fill the tank, let n be the water needed to fill the tank.

x-y=9

(n/x)*20+(n/y)*20=n

n is removed by dividing the 2nd equation by n

here u get:

(1/x+1/y)*20=1

you sub x=9+y into the above equation

1/y+1/(9+y)=1/20

((9+y)+(y))*20=(9+y)(y)

180+40y=9y+y2

y2-31y-180=0

then use the quadratic formula and u will find y=36 or -5

-5 is rejected because it is negative

x=36+9=45

therefore it is 36 mins and 45 mins

3 0
3 years ago
Olivia is cutting a 1 1/2 m by 3/4 m piece of rectangular paper into two pieces along its diagonal. Find the area
netineya [11]

Answer:

9/16 m.

Step-by-step explanation:

When you cut two pieces along its diagonal it causes it to be two congruent triangular pieces.

<em>You need to multiply the length and the width to find an area: </em>

1 1/2 × 3/4

<em>Now you need to change it into an improper fraction:</em>

1*2+1 = 2+1 = 3; this gives us 3/2:

3/2 × 3/4 = 9/8 = 1 1/8

<em>Dividing it by 2:</em>

9/8 ÷ 2

8 0
3 years ago
40 points Please help, answer and explain, please. Thank you!
zaharov [31]

Answer:

<h2>C. 6x² + 6x² + 3x + 4</h2>

Step-by-step explanation:

6x^2-2x^4+4+3x\\\\\text{Look at the power of variables.}\\\text{Arrange the terms in order from the largest exponent to the smallest.}\\\\-2x^4+6x^2+3x+4

6 0
3 years ago
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