In 161616 years, Ben will be 333 times as old as he is right now.
How old is he right now?

Answer:

Step-by-step explanation:

im not a genius at math, but i will give it a shot

scenario 3:

let m= cost per minute for WDE, let b= flat fee for WDE

42.5=50m+b

65=100m+b

subtract the two equations

65-42.5=50m

m= .45 (this is the cost per minute on WDE wireless)

plug in m=.45 into the first equation

42.5=50(.45)+b

b= 20 (this is the fixed monthly fee for WDE wireless)

HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate

htr has the equation .25x+30

WDE has the equation .45x+30

set them equal to each other and solve for x .25x+30=.45x+20

x= 50 minutes

Scenario 4:

Same deal as last question, let m=cost/movie, b=flat fee

41.25=5m+b

57.5=10m+b

subtract the two equations and solve for m

57.5-41.25=10m-5m+b-b

m= 3.25 (slope)

b=25  (y intercept)

y=3.25x+25

y=3.25(125)+25  = 431.25

3.25x+25=2.75x+35

.5x= 10

x= 20

Answer:

181/8

Step-by-step explanation:

Answer:

5x/8 + 43/2

Explanation:

The answer is the exact value.

Answer:

Step-by-step explanation:

y - x means the the difference in the number of women compared with men.

So if there are 20 women and 14 men, y - x = 20 -1 4 = 6 ,  that is 6 more women than men.

If there are more men than women then y - x will have a negative value,  and there will be, if we flip the above numbers. 6 more men than women.

Answer:

You will sell 429 salt lamps in 22 weeks.

Step-by-step explanation:

After the 10% reduction in the price of the  toy car, the car costs 450.

In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.

10% x 500

0.1 x 500 = 50.

The second step is to subtract the value of the 10% price reduction from the original cost of the  toy car.

500 - 50 = 450

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Answer:

n = 10, n = -2

Step-by-step explanation:

hope it helps.

Answer:

270

Step-by-step explanation:

Answer:

18 fleece jackets can be made

I think you have to divide 360 by 20 (Im not sure)

Hopefully this can help :)

Answer:

143

Step-by-step explanation:

BEDMAS = brackets, exponents, division, multiplication, substraction, addition.

you need to first do the exponents, then the multiplication, then the addition

exponents = 7² = 49

4 x 9 + 2 x7² + 9 = 4 x 9 + 2 x 49 + 9

multiplication = 4x9 = 36

36 + 98 + 9

addition = 36 + 98 = 134  and  134 + 9 = 143

you need to use the BEDMAS (order of opperation) to find the answer, it simplifies the answer and you can do it step by step. I bolded what you needed to use in this question, but you should use all of the ones that you can whenever you can.

good luck. :)

Answer:

(f+g)(x)=x²+2x-6

Step-by-step explanation:

(f+g)(x)=2x+1+x²-7

collect like terms

(f+g)(x)=x²+2x+1-7

according to mathematics x² is not a like term of 2x so don't add the them

(f+g)(x)= x²+2x-6

Answer:

√90=3√10

Step-by-step explanation:

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

-   7x - 7y = -14    

             -y = -9  

Divide both sides by -1 to solve for y:

[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

[tex]\frac{7x}{7} = \frac{49}{7}[/tex]

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

Answer:

x=10

Step-by-step explanation:

(17+x+10+51+17)/5=21

95+x=105

x=10

The required value of x for the given mean of the data is x = 10.

In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.

Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,

Mean = ( x₁ + x₂ + x₃ + .....)/n.

Given that,

The mean of  17, x, 10, 17 and 51 is 21.

It can be written in mathematical form as,

(17+ x + 10 + 17 + 51 )/5 = 21

=> 17+ x + 10 + 17 + 51 = 21 × 5

=> x = 105 - 95

=> x = 10

Hence, for the given data the value of x is 10.

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Answer:

-d-1<2. => -(-2)-1=1<2. the forth option is true

Answer:

3.4 + 5.2 + 4.7 + 3.5 + 0.5

= 17.3

There are a total of 5 numbers

17.3 / 5

= 3.46

Answer:

Step-by-step explanation:

Given:

Biking only:

Motorcycling only:

Neither:

Venn diagram consists of:

Biking |  Both (Intersection) | Motorcycling  |  Neither (outside of circles)

  40                   18                         24                             18

Answer:

B.

Step-by-step explanation:

step by step explanation

Answer:

after 70 miles, company B will charge Henry more.

Step-by-step explanation:

at 70 miles both companies will charge the same price

118 = 55 + 0.9m

m = (118 - 55) divided by 0.9 = 70  

The ordered pairs  that make this equation true is (4, 10)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the linear equation: y = 10x - 30:

At (1, -12): y = 10(1) - 30 = -20 ≠ -12

At (8, 1): y = 10(8) - 30 = 50 ≠ 1

At (4, 10): y = 10(4) - 30 = 10

At (6, 20): y = 10(6) - 30 = 30 ≠ 20

The ordered pairs  that make this equation true is (4, 10)

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Answer:

Not

Step-by-step explanation:

In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Step-by-step explanation:

no solution as √x is a positive value

no solution as √x is a positive value

#1

If square root is over x only x=3²=9

#2

No solutions as -10 is <0

#3

If root is over x only then no solutions

#4

√x=0.1

x=0.01

Answer:

-1/28

Step-by-step explanation:

You need to convert 2/7  and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28

Answer:

-1/28

Step-by-step explanation:

You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.

Answer:

Its D.

Step-by-step explanation:

The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left

Answer:

a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The effect of multiplying a given matrix by an identity matrix is to leave the given matrix unchanged.

The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Let x represent the number of Pi Day T-shirts sold.

They are selling Pi Day T-shirts for $7.50 each, So to raise $500:

7.5x > 500

Dividing through by 7.5:

7.5x / 7.5 > 500 / 7.5

x > 66.7

Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

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Probabilities are used to determine the chance of events

The probability that she did NOT choose a boy either time is 1/3

The given parameters are given as:

[tex]\mathbf{n = 10}[/tex] --- total number of students

[tex]\mathbf{Boys = 4}[/tex] --- total number of boys

[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls

If she did not choose a boy in either selection, then it means that both selections are girls.

So, the probability is calculated using:

[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]

The selection is without replacement.

So, we have:

[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]

Substitute known values

[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]

[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]

Simplify

[tex]\mathbf{P = \frac{1}{3}}[/tex]

Hence, the probability is 1/3

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Answer:

c

Step-by-step explanation:

square root of 18x^7

square root of 9×3x^4×x^3

9x square root of 3x^3

divided by 3 it came 3x square root of x^3

Answer:

x=9

Step-by-step explanation:

23=7/9(6x-36)+9

Distribute 7/9.

23=14/3x-28+9

Add.

23=14/3x-19

Add 19 to both sides of the equation.

42=14/3x

Divide 14/3 from both sides of the equation.

X=9

Hope this helps :)