a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i dont know but my mom is 5 years younger than my dad and we asked how old is your dad and she said i dont know but the sum of our ages is equal to 100years.how old is the dad ,the mom and the girl?

Answer:

-11

Step-by-step explanation:

7 + 3↑2 (-5 + 1) ÷ 2

7 +  3↑2(-4)  ÷ 2

7+9(-4) ÷ 2

7+(-36) ÷ 2

7-18

-11

Answer:

Im not sure what the arrow is for but

7 + 3.2 (-5 + 1) ÷ 2= 8.2

Step-by-step explanation:

7+3.2=10.2

(-5+1)÷2= -2

-2+10.2= 8.2

ANSWER: 8.2

no, -6+2= -4

not -6 +(-2)

Answer:

x = 2.4

Step-by-step explanation:

16^(4x - 3) = 8 ^ (2x + 4)

16 = 2^4

8 = 2^3

2 ^ 4*(4x - 3) = 2^3(2x + 4)

Since the bases are the same, you can equate the powers

4(4x - 3) + 3*(2x + 4)           Remove the brackets.

16x - 12 = 6x + 12                 Subtract 6x from both sides

16x - 6x - 12 = 12                Combine the terms on the left

10x - 12 = 12                        Add 12 to both sides

10x = 24                              Divide by 10

x = 2.4

Answer:

H'(0, 3); I'(2, 4); J'(5, 1)

Step-by-step explanation:

H'(-2+2,4-1)

H'(0, 3)

I'(0+2, 5-1)

I'(2, 4)

J'(3+2, 2-1)

J'(5, 1)

Answer:

0.625

Step-by-step explanation:

The lines on top of the numbers means that the number continues for a long time. However, 5/8 isn't infinite which means we can rule the 2nd and 3rd options. We also know that 5/8 certainly isn't greater than 1 which means the only answer we have left is the 1st one.

(sorry this is so confusing but I hope it helped anyway)

Answer:

.842

Step-by-step explanation:

Divide 32 by 38 to figure out how many of them are needed. Answer is .842 rounded.

Answer:

[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]

solving to write into a single logarithm

[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]

[tex]3\log _{10}\left(x+y\right)=\log _{10}\left(\left(x+y\right)^3\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]2\log _{10}\left(x-y\right)=\log _{10}\left(\left(x-y\right)^2\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

[tex]=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Thus,

[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Answer:

10-3x      that would be 7x

Step-by-step explanation:

10-3=7

7times x=7x

can i plz have brainliest?

plz?

Answer:

$13.75

Step-by-step explanation:

Ivan earns $343.75 working for 25hours

The amount that Ivan gets if he works for 1 hour can be calculated as follows

= 343.75/25

= 13.75

Hence the amount paid for one hour is $13.75

Answer:

15 markers in all

Step-by-step explanation:

5 + 2 + 3 + 5 =

5 + 5 = 10

+

2 + 3 = 5

=

10 + 5 = 15

Brainliest Please!!

Answer:

x + y = 32 (1)

3x + 4y = 120 (2)

x = 8; y = 24

Step-by-step explanation:

Total students = 120

Number of groups = 32

If the number of three person groups = x

Number of four person groups = y

write a system of equations that models this situation

x + y = 32 (1)

3x + 4y = 120 (2)

From (1)

x = 32 - y

Substitute x = 32 - y into (2)

3(32 - y) + 4y = 120

96 - 3y + 4y = 120

- 3y + 4y = 120 - 96

y = 24

Substitute y = 24 into (1)

x + y = 32

x + 24 = 32

x = 32 - 24

x = 8

x = 8; y = 24

Answer:

last option is the polynomial

Step-by-step explanation:

The easiest way to go about this is to look at the last statement

f(2) = 144

The solution to finding the polynomial is by substituting x = 2 into any of the polynomials; if after substituting, we have the value as 144, then the given polynomial is our answer

Let us have a look at each of the polynomials in the option;

1. 2(2)^7 -8(2)^5 + 2(2)^3 = 16

This cannot be our answer

2. 2(2)^7 - 2(2)^5 + 4(2)^3 = 224

This is not our answer

3. 2(2)^7 - 2(2)^5 + 144(2)^3 = 1,344

This is not our answer

4. 2(2)^7 -4(2)^5 + 5(2)^3 = 168

This is not our answer

5. 2(2)^7 -4(2)^5 + 2(2)^3 = 144

This is our answer

Answer:

The scuba diver would be 43.5 meters from the surface after 15 seconds

Step-by-step explanation:

So first we need to take 0.5 and multiply it by 5 since we know 15 divided by 3 is equal to 5, and we get 2.5

We then take 46 and subtract 2.5 from it, resulting in 43.5

Answer:

Answer:

y = 1/2x + 2 1/2

Step-by-step explanation:

y - 4 = 1/2 (x - 3)

y - 4 = 1/2x - 3/2

y = 1/2x - 3/2 + 4

y = 1/2x + 2 1/2

Answer:

The answer is 9

Step-by-step explanation:

So In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, add 79 and 10 and subsequently subtracting 72 and 8 to get 9.

Answer:u

Step-by-step explanation:

Answer:

34.2 or 34.20

Step-by-step explanation:

I think that it is this

Answer:

34.2

Step-by-step explanation:

Answer:

X1=0

Y1=-3

X2=4

Y2=1

Slope=(y2-y1)/(x2-x1)

Slope=(1-(-3))/(4-0)

Slope=4/4

Slope=1

Step-by-step explanation:

Answer:

as isyllus says, Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation:

We given the fraction to be solved:

Using cross multiplication method:

i.e. Numerator of Left Hand Side term to be multiplied with Denominator of Right Hand Side term and put equal to multiplication of denominator of Left Hand Side term to Numerator of Right Hand Side term.

So, the first step to be carried out as per cross multiplication method:

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation:

Answer:

200ml

Step-by-step explanation:

120ml ÷ 60 = 2 x 100 = 200ml

The solution is 200 mL

The amount of sanitizer Brandon can make from 120mL of alcohol is given by the equation A = 200 mL

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of sanitizer from 120 mL of alcohol be A

Now , the equation will be

The sanitizer should contain 60% alcohol

So ,

120 = ( 60 / 100 ) x amount of sanitizer from 120 mL A

Substituting the values in the equation , we get

120 = ( 60 / 100 ) x A

Divide by 60 on both sides of the equation , we get

A / 100 = 2

Multiply by 100 on both sides of the equation , we get

A = 200 m L

Therefore , the value of A is 200 mL

Hence , the amount of hand sanitizer is 200 mL

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

[tex]h^\prime(1)=14[/tex]

Step-by-step explanation:

We have the function:

[tex]h(x)=f[f(x)][/tex]

And we want to find:

[tex]h^\prime(1)[/tex]

So, we will differentiate function h. By the chain rule, this yields:

[tex]h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)[/tex]

Then it follows that:

[tex]h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)[/tex]

Using the table, we acquire:

[tex]h^\prime(1)=f^\prime(3)\cdot2[/tex]

And using the table again, we acquire:

[tex]h^\prime(1)=7\cdot 2[/tex]

Evaluate. Hence:

[tex]h^\prime(1)=14[/tex]

Answer:

135

Step-by-step explanation:

Answer:

[tex]We\ are\ given\ that,\\Percent\ of\ reduction=x_-\\So,\\Let\ the\ percent\ of\ increase\ be\ x_+\\Let\ the\ original\ price\ of\ the\ item\ be\ y\\Let\ the\ price\ after\ the\ decrease\ be\ z\\.\\Hence,\\y-\frac{x_-}{100} =z\\ z+\frac{x_+}{100}=y\\By\ simply\ adding\ the\ equations,\\(y+z)+(- \frac{x_-}{100}+\frac{x_+}{100})=(z+y)\\Hence,\\- \frac{x_-}{100}+\frac{x_+}{100}=0\\Hence,\\ \frac{x_-}{100}=+\frac{x_+}{100}\\Hence,\\x_-=x_+\\[/tex]

[tex]Hence,\ the\ percent\ of\ increase\ is\ same\ as\ the\ percent\ of\ decrease.[/tex]

Answer:

560 students

Step-by-step explanation:

We are given that the total number of students is

700

The survey results is 80% likes the new lunch menu

We are expected to establish what amount of students is 80%

=80/100*700

=0.8*700

=560

Hence 80% of 700 is 560

Step-by-step explanation:

3 less than the quotient of a number y and 4

= y/4 - 3.

When y = 20, y/4 - 3 = 20/4 - 3 = 2.

Answer:

The cost of each of the six cups is 2.50.

Step-by-step explanation:

The cost of each of the six cups can be calculated as follows:

Cost per cup = Total cost / Number of cups paid for ................. (1)

Where;

Cost per cup = ?

Total cost of cups = 15

Number of cups paid for = 6

Substituting the values into equation (1), we have:

Cost per cup = 15 / 6

Cost per cup = 2.50

Therefore, the cost of each of the six cups is 2.50.