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bazaltina [42]
2 years ago
7

HELP ASAP! AGE PROBLEM!! WILL MARK BRAINLIEST!!!

Mathematics
1 answer:
Gennadij [26K]2 years ago
5 0

Answer:

<u>The present age of the mother is 30 years old</u>

Step-by-step explanation:

Age of Jane = x

Age of Billy = 5x (Billy is five times as old as Jane)

Age of Sara = 15x (Their mother is now three times as old as Billy)

In 2 years Sara will be eight times as old as Jane, therefore:

15x + 2 = 8 (x + 2)

15x + 2 = 8x + 16

15x - 8x = 16 - 2

7x = 14

x = 14/7

x = 2 ⇒ 5x = 10x ⇒ 15x = 30

Jane's present age is 2, Billy's present age is 10 and Sara's present age is 30

<u>The present age of the mother is 30 years old</u>

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The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5,
riadik2000 [5.3K]

Answer:

x = 7.5

Step-by-step explanation:

Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.

Given that the length of sides of the smaller triangle are; 5, 13, 12.

Given also that the length of the dilated triangle are; x, blank, 18.

Comparing the length of the last sides of the two triangles, we have;

(scale factor x 12) + 12

                        = (\frac{1}{2} x 12) + 12

                        = 6 + 12

                        = 18

Thus the scale factor for the dilation is \frac{1}{2}. So that:

x = (\frac{1}{2} x 5) + 5

   = 2.5 + 5

   = 7.5

x = 7.5

And also,

blank = (\frac{1}{2} x 13) + 13

          = 6.5 + 13

blank  = 19.5

Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18

4 0
3 years ago
Read 2 more answers
Pls help in a middle of an exam
KIM [24]

Answer:

\frac{2x^2+4x-9}{(2x-3)(2x+3)(x-1)}

Step-by-step explanation:

\frac{2x}{4x^2-9} + \frac{3}{2x^2+x-3} can be simplified to:
\frac{2x}{(2x-3)(2x+3)}+\frac{3}{(2x+3)(x-1)}

Make them have common denominators so:
\frac{(2x)(x-1) +3(2x-3)}{(2x-3)(2x+3)(x-1)}

Simplify:
\frac{2x^2-2x+6x-9}{(2x-3)(2x+3)(x-1)} = \frac{2x^2+4x-9}{(2x-3)(2x+3)(x-1)}

I don't think you can simplify that fraction further so that's the answer.

3 0
2 years ago
FIRST ANSWER GETS BRANLIEST
Darina [25.2K]

There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.

CostA = 90 + .40(miles)

CostB = 30 + .70(miles)

We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:

90 + .40(miles) < 30 + .70(miles)     This is where we will now begin to solve for the number of miles.

-30                      -30                       Subtract 30 from both sides.

60 + .4(miles) < .7(miles)                Simplify

      -.4(miles)   -.4(miles)                Subtract .4(miles) from both sides

60 < .3(miles)                                 Simplify

/.3     /.3                                        Divide both sides by .3

200 < miles                                   Simplify

So for A to cost less the number of miles must be greater than 200.

5 0
3 years ago
Kayla is going on a trip. The mass of everything she is packing is 5.3 kg.
sasho [114]

Answer:

6060 grams

Step-by-step explanation:

M = 5.3kg + 760g

= 5300g + 760g

= 6060 grams

3 0
3 years ago
Read 2 more answers
Arianna gathered data about the distance of 20 cities from the equator and the average hours of sunlight per day in December for
stich3 [128]

<u>Answer-</u>

<em>A. strong negative correlation.</em>

<u>Solution-</u>

<u>Direction of a relationship</u>

  1. Positive- If one variable increases, the other tends to also increase. If one decreases, the other tends to also. It is represented by positive numbers(i.e 0 to 1).
  2. Negative- If one variable increases, the other tends to decrease, and vice-versa.  It is represented by negative numbers(i.e 0 to -1)

<u>Strength of a relationship</u>

  1. Perfect Relationship- When two variables are linearly related, the correlation coefficient is either 1 or -1. They are said to be perfectly linearly related, either positively or negatively.
  2. No relationship- When two variables have no relationship at all, their correlation is 0.

As in this case, correlation coefficient was found to be -0.91, which is negative and close to -1, so it is a strong negative correlation.


5 0
3 years ago
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