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3 years ago

14

gabriella is x years old her sister felicia is six years older than she is their mother is twice as old as felicia there and tan

ya is xe years older than their mother right and simplify an expression that represents tanya's age in years

1 answer:

zmey [24]3 years ago

5 0

Xe +2(x +6)
= xe +2x +12 . . . . . . . an expression for Tanya's age using the given information

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Records at an insurance company showed that the first 30 customers made an average of 5 claims each through their lifetime. Afte

umka2103 [35]

The average of the 75 customers will be 6.4.

<h3>How to calculate the value?</h3>

The first 30 customers made an average of 5 claims each. The total claims will be:

= (5 × 30) = 150

When 75 more people were assessed, the average was 6. Therefore, the total claims will be:

= (75 + 30) × 6

= 105 × 6

= 630

Therefore, the average of the 75 customers will be:

= (630 - 150)/75

= 480/75

= 6.4

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

8 0

2 years ago

The triangle T has vertices at (-2, 1), (2, 1) and (0,-1). (It might be an idea to

Firdavs [7]

Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:

<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>

<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>

So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.

This means the area is given by the integral,

$\displaystyle\iint_T\mathrm dA=\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy$

The integral with respect to <em>x</em> is trivial:

$\displaystyle\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy=\int_{-1}^1x\bigg|_{-1-y}^{1+y}\,\mathrm dy=\int_{-1}^1(1+y)-(-1-y)\,\mathrm dy=2\int_{-1}^1(1+y)\,\mathrm dy$

For the remaining integral, integrate term-by-term to get

$\displaystyle2\int_{-1}^1(1+y)\,\mathrm dy=2\left(y+\frac{y^2}2\right)\bigg|_{-1}^1=2\left(1+\frac12\right)-2\left(-1+\frac12\right)=\boxed{4}$

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.

6 0

3 years ago

Solve the system of equation by the addition method x-2y=11 and -x+6y =-31

Sonbull [250]

Answer: x = 1, y = - 5

Step-by-step explanation:

The given system of linear equations is expressed as

x - 2y = 11- - - - - - - - - - - - -1

- x + 6y = - 31- - - - - - - - - - - -2

We would eliminate x by adding equation 1 to equation 2. It becomes

- 2y + 6y = 11 - 31

4y = - 20

Dividing the the left hand side and the right hand side of the equation by 4, it becomes

4y/4 = - 20/4

y = - 5

Substituting y = - 5 into equation 1, it becomes

x - 2 × - 5 = 11

x + 10 = 11

Subtracting 10 from the left hand side and the right hand side of the equation, it becomes

x + 10 - 10 = 11 - 10

x = 1

3 0

3 years ago

| 2x + 9 | = 15<br> Help pls

ikadub [295]

Answer:

x = 3 and x = -12

Step-by-step explanation:

To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:

| 2x + 9 | = 15 becomes:

2x + 9 = 15 and 2x + 9 = -15

2x = 6 and 2x = -24

x = 3 and x = -12

Why this works is that |-x| and |x| will both be equal to 0. Remember that absolute value is the distance a number is away from 0.

4 0

2 years ago

12/60 in lowest terms

Luda [366]

Fractions can be simplified by making sure that the numerator and the denominator cannot be divided by any number.

The given 12/60 is very obvious that it is divisible by 2.
After dividing by 2, you will get 6/30.
It seems it is not in simplest form. It is divisible by 3.
Dividing the numerator and denominator by 3 then you will get
2/15.

So the lowest term is 2/15.

8 0

3 years ago