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3 years ago

In 16 years, Ben will be 3 times as old as he is now. How old is he?

2 answers:

6 0

Say x is how old Ben is now. Ben’s age 16 years from now is the same as 3 times his current age, so:

x + 16 = 3x
2x = 16
x = 8

Ben is 8 years old.

Igoryamba3 years ago

3 0

First, do 16 x 3 to get 48. Then subtract 16 and youll get 32

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In triangle RST, BK is the mid segment between sides RS and RT. If ST is 18 units, how long is BK?

Allushta [10]

Answer:

BK=9

Step-by-step explanation:

A midsegment is one half of the length of the base. So, If the base, which is ST is 18, the midsegment will be 18/2=9

3 0

3 years ago

Follow the directions to solve the system of equations by elimination. 8x + 7y=39 4x – 14y = -68

harina [27]

Step-by-step explanation:

Hey there!

Here;

The equations are;

$8x + 7y = 39.......(i)$

$4x - 14y = - 68..........(ii)$

Multiplying equation (i) by 2.

16x + 14y = 78

4x - 14y = -68

20x = 10

$x = \frac{10}{20}$

x = 1/2.

Putting value of 'x' in equation (i).

$8 \times \frac{1}{2} + 7y = 39$

$4 + 7y = 39$

$7y = 3 9 - 4$

$y = \frac{35}{7}$

Therefore the value of y is 5.

Check:

Put value of x and y in equation (i).

8x + 7y = 39

$8 \times \frac{1}{2} + 7 \times 5 = 39$

$4 + 35 = 39$

$39 = 39$

(True).

Therefore, the solution is ; (1/2,5).

Hope it helps...

8 0

4 years ago

Solve for the indicated variable.

marta [7]

Answer:

Option (c) " $r=\dfrac{q}{4c}-h$ "

Step-by-step explanation:

The given equation is :

q = c4(h + r)

We need to solve it for r.

Dividing both sides of the given equation by 4c.

$\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}$

Now, subtract h both sides of the equation.

$h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h$

Hence, this is the required solution.

3 0

3 years ago

An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?

IgorC [24]

Assuming 0 and 100 are included in the possible choices:

There are $\left\lfloor\dfrac{101}7\right\rfloor=14$ multiples of 7 between 0 and 100, so there is a $\dfrac{14}{101}\approx0.1386$ probability of choosing a multiple of 7.

8 0

3 years ago

Simplify.Your answer should contain only positive exponents.(x^3y^-2)-4

Galina-37 [17]

X^3(1/y^2)-4 is (x^3y^-2)-4 simplified with only positive exponents

8 0

3 years ago