Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?

Answers

Answer 1

Answer:

Betty is 15.

Mike is 5.

Step-by-step explanation:

We can let Betty's age be b and Mike's age be m.

Since Betty's age is 3 times of Mike, then

[tex]b=3m[/tex]

In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.

Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].

We know that [tex]b=3m[/tex], so we can substitute that:

[tex]3m+5=2(m+5)[/tex]

Expand:

[tex]3m+5=2m+10[/tex]

Subtract 5 from both sides:

[tex]3m+5-5=2m+10-5[/tex]

[tex]3m=2m+5[/tex]

Subtract 2m from both sides:

[tex]3m-2m=2m+5-2m[/tex]

[tex]m=5[/tex].

Mike is 5 years old.

Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]


Related Questions

Julio says, “if you subtract 12 from my number and multiply the difference by -5, the result is -90” what is Julio’s number

Answers

work backwards and do the opposite sign!
-90 / -5 = 18
18 + 12 = 30
We can then plug in 30 to the original to check the work
30 - 12 = 18
18 * -5 = -90

What is the period of the trigonometric function f(t) = 3sin(t/2)?
A) 2Pie
B) 3pie
C) 4pie
D) pie/2

Answers

I think it’s c 4 pie

What is the distance between point (2,6) and (5,2)?

Answers

Answer:

5 units

Step-by-step explanation:

Distance between two points can be found by using the pythagorean theorem

The distance in y = 4

The distance in x = 3

3² + 4² = c²

9 + 16 = c²

25 = c³

c = √25

c = 5

-Chetan K

Answer:

5

Step-by-step explanation:

[tex]\mathrm{Distance \:\:Formula:}\\\\\mathrm{d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}}[/tex]

[tex]\underline{\mathrm{Plug \:the\: points:}}[/tex]

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\underline{\mathrm{Solve:}}[/tex]

[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\sqrt{3^2 + 4^2}[/tex]

[tex]3^2 = \sqrt{9+4^2} =\boxed{9}\\\\4^2=\sqrt{9+16} = \boxed{16}[/tex]

[tex]\sqrt{25}[/tex]

[tex]\sqrt{5^2}=5[/tex]

What is the answer to the first one?

Answers

Answer:

8

Step-by-step explanation:

2(-2)^2 =10 +-2 =8

Find the factorization of the polynomial below. 81X2 - 18x+1

A. (18x-1)2
B. (9x-1)2
C. (9x + 1)2
D. (18x + 1)2​

Answers

Answer:

B.(9 x -1)^{2}

Step-by-step explanation:

Rewrite the expression into the form of a^2\pm 2ab+b^2:(9 x)^{2} - 2 \times 9 x + 1^{2}

Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(9 x -1)^{2}

we have  81x^2 - 18x+1 = (9x)^2 -2.9x + 1 = (9x -1)^2

ok done. Thank to me :>

Compound $35.000 is invested at 5% compound interest. What is the interest at the end of three years?​

Answers

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

Answer:

A = $40,516.88

Step-by-step explanation:

Assuming that interest is compounded annually:

The AMOUNT will be A = P(1 + r)^2, which here is

                                    A = $35,000(1 + 0.05)^3, or

                                     A = $40,516.88

Which ordered pair is NOT in the solution set of −2x + 3y  ≥  12?

A. (-3,5)
B. (-5,0)
C. (0,6)
D. (-5,3)​

Answers

Answer:

B

Step-by-step explanation:

[tex]\sqrt{7+2\sqrt{10} } -\sqrt{7-2\sqrt{10} }[/tex]

Answers

7247/673726:6737-78488

answer this pls!!...
help me out
-sry for my bad handwriting​

Answers

Answer:

i cant read it

can u type so i can help?

Step-by-step explanation:

5 = 5+r-2r
what's the answer to this equation

Answers

Hi there!

5=5+r-2r

Combine like terms:

5=5-r

Move all the variables to the left, using the opposite operation:

r+5=5

r=5-5

r=0

r=0 is the answer

Hope it helps

~Just a gloomy gal

#CarryOnLearning

[tex]SilentNature :)[/tex]

Answer:

r = 0

Step-by-step explanation:

5 = 5 +r - 2r

5 = 5 -r

c.l.t   r = 5 - 5

r = 0

2/5+3/10/−7/9pls hlp

Answers

Solution:

[tex] \frac{2}{5} + \frac{3}{10} - \frac{7}{9} \\ = \frac{2 \times 18 + 3 \times 9 - 7 \times 10}{90} \\ = \frac{36 + 27 - 70}{90} \\ = \frac{ - 7}{90} [/tex]

Answer:

[tex] \frac{ - 7}{90} [/tex]

Answer:

5

52

52

52 +

52 + 10

52 + 103

52 + 103

52 + 103 −

52 + 103 − 9

52 + 103 − 97

52 + 103 − 97

52 + 103 − 97

52 + 103 − 97 =

52 + 103 − 97 = 90

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10 =

52 + 103 − 97 = 902×18+3×9−7×10 = 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 =

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90}

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7

Select the correct answer.
Which equation could represent the graphed cubic function

Answers

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

got it right

2+2 1,000,000,000+1,000,000,000

Answers

Answer:

22,000,000,002

Step-by-step explanation:

Hope it helps you

Answer:

Step-by-step explanation:

22,000,000,002

A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.

Answers

Answer:

150 Miles

Step-by-step explanation:

Let's say it takes x time to get there.

X x 30=(8 - 6) x 50 (The distance is the same)

30X=400 - 50X=7 X=5 hours.

So the distance is 5 x 30=150 miles.

Morgan is buying packages of hotdogs and hamburgers. She is spending a total of $25. Hamburgers cost $9 and hotdogs cost $2. She bought a total of 9 packages.

Morgan wrote the following system of equation to model the scenario:






What does the variable "y" represent?

Answers

Step-by-step explanation:

I don't see the equations.

but I can build some myself :

x = number of hamburger packages

y = number of hotdogs packages

x + y = 9

9x + 2y = 25

the first equation tells us after moving y to the right side

x = -y + 9

and that we are using now in the second equation :

9(-y + 9) + 2y = 25

-9y + 81 + 2y = 25

-7y = -56

y = 8

x = -y + 9 = -8 + 9 = 1

need help please 100 pts

Answers

Pretty sure it’s B

Hope this helps

Answer:

b)

Step-by-step explanation:

Slope is -4 and (6,1) is on the like the equation of the line is

Answers

Answer:

y=-4x+25

Step-by-step explanation:

If this is Point-Slope then:

y-y1=m(x-x1)                         m=slope

m= -4  Coordinates=(6,1)

y-1=-4(x-6)

y-1= -4x +24

y=-4x+25

A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.

Answers

The pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Let l be the length of side of the square bottom of the pool and h be the height of the pool.

Its volume V = l²h

Now, the total surface area of the pool equal the area of its sides plus the area of its base.

The area of its 4 sides is 4lh.

Since the cost of the side of the pool is $80 per square foot, the total cost for the sides of the pool is C = $80 × 4lh = $ 320lh

Also, The area of its square bottom is l².

Since the cost of the side of the pool is $40 per square foot, the total cost for the square bottom of the pool is C' = $40 × l² = $ 40l²

So, the total cost of the pool is C" = C + C' = 320lh + 40l²

C" = 320lh + 40l²

Since the volume equals 2000 ft³, V = l²h

2000 = l²h

h = 2000/l²

Substituting h into C", we have

C" = 320lh + 40l²

C" = 320l × 2000/l² + 40l²

C" = 640000/l + 40l²

To find the value of l which makes C" minimum, we differentiate C" with respect to l and equate it to zero.

So, dC"/dl = d(640000/l + 40l²)/dl

dC"/dl = d(640000/l)/dl + d(40l²)/dl

dC"/dl = -640000/l² + 80l

Equating dC"/dl to zero, we have

-640000/l² + 80l = 0

-640000/l² = -80l

Cross-multiplying, we have

640000 = 80l³

Dividing through by 80, we have

l³ = 640000/80

l³ = 8000

Taking cube root of both sides, we have

l = ∛8000

l = 20 ft

We differentiate C" twice to determine if this value of l gives a minimum for C".

So, d²C"/dl² = d(-640000/l² + 80l)/dl

d²C"/dl² = d(-640000/l²)/dl + d(80l)/dl

d²C"/dl² = 640000/l³ + 80

Substituting l = 20, we have

d²C"/dl² = 640000/l³ + 80

d²C"/dl² = 640000/20³ + 80

d²C"/dl² = 640000/8000 + 80

d²C"/dl² = 80 + 80

d²C"/dl² = 160 > 0

Since d²C"/dl² = 160 > 0. So, l = 20 ft gives a minimum for C".

Since h = 2000/l²

Substituting l = 20 into the equation, we have

h = 2000/l²

h = 2000/20²

h = 2000/400

h = 5 ft

So, the pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Learn more about dimensions of a pool here:

https://brainly.com/question/22112169

I already Have the answer but can u guys show the work?

Answers

Hope this helps!!!
…………..

210 is the product of − 14 and x

Answers

Answer:

-14 and -15

Step-by-step explanation:

When you multiply two negative numbers together, it will equal a positive number

simplify the ratio 4 : 0.5​

Answers

Answer:

8:1

Step-by-step explanation:

LeAnnne has $4 in dimes and nickels. She has 10 more dimes than nickels. How many nickels does she have?

Answers

Answer:

21 she has 21 nickels

Step-by-step explanation:

Googel

The number of nickels LeAnne has 20 and the number of dimes LeAnne has 30.

Given that, LeAnnne has $4 in dimes and nickels.

Let the number of dimes be d and the number of nickels be n.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

She has 10 more dimes than nickels.

That is, d=n+10

So, 0.05n+0.10d=4

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

5n+10(n+10)=400

5n+10n+100=400

15n=300

n=20

d=n+10

d=30

Therefore, the number of nickels LeAnne has 20.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

What is the range of function g?

Answers

Answer:

y ≥ 2

Step-by-step explanation:

Domain is x  > 1 . So, range will be greater than or equal to 2

Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)

Answers

You can factor it more
Remember: (a^2 - b^2) = (a-b)(a+b)
(x^2 - 36) = (x - 6)(x + 6)
Now plug back to equation

(x - 6)(x + 6)(x + 7) = 0
x - 6 = 0, x = 6
x + 6 = 0, x = -6
x + 7 = 0, x = -7

Solution: x = 6, -6, -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

Learn more about zeros of the function from the link given below.

https://brainly.com/question/31654189

#SPJ2

Please help Please thank you

Answers

Answer: C) The student made an error in step 3.

Step-by-step explanation:

When dividing by a negative while working with inequalities, you must "flip the sign."  Thus, there is an error in step 3.

N.B. The answer could very well be interpreted as B), but I believe C) is the best and most defensible answer.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

nvm

Step-by-step explanation:

-2 1/4 x -4/5

please help

Answers

Answer:

1.8

Step-by-step explanation:

-2 1/4 x -4/5 = 9/5

= 1 4/5

= 1.8

ahh i need help with these 2 questions ill mark u as brainliest ​

Answers

Answer:

3. x = 96

4. x = 6

Step-by-step explanation:

Which statement describes the sequence -9, -3, 3, 9, 15, ...?
O A.
an arithmetic sequence with common difference -9
O
B.
an arithmetic sequence with common difference 3
C.
an arithmetic sequence with common difference 6
ОО
O D. not an arithmetic sequence

Answers

Answer:

The answer is C

Step-by-step explanation:

An arithmetic sequence with common difference 6

(-3)-(-9) = 6

3 - (-3) = 6

9 - 3 = 6

15 - 9 = 6

WILL MARK BRAINLIEST IF CORRECT!

Answers

Answer:

Answer Student A was right.

[tex]{ \tt{ \sqrt[3]{1944} = \sqrt[3]{(72 \times 27)} }} \\ \\ = { \tt{ \sqrt[3]{72} \times \sqrt[3]{27} }} \\ \\ = { \tt{ \sqrt[3]{72} \times 3}} \\ \\ = { \underline{ \tt{ \: 3 \sqrt[3]{72} } \: }}[/tex]

hii I need help with this I really don't get it and I'm like, bad at Functions and stuff like that, I hope this doesn't trouble you :(​

Answers

Assuming it is referring to the blue graph (not the points), it costs more to rent adults skates.

After the first hour, it would cost 3 dollars to rent children’s skates. After the second, it would cost 6. This would make the slope 3, so the formula would be C=3h. It costs $3 per hour to rent children’s skates.

If the question is referring to the grey points, it would cost more to rent children’s skates for the first hour. After the first hour, it would cost more to rent adults skates.

The starting value (the y-intercept/the point at zero on the y axis, which is the vertical center line) is 6, and the slope is still 3 for the children’s skates.

For the first hour, it would cost $9 for children’s skates and $8 for adults skates. For two hours, it would cost $12 for the children’s skates and $16 for adults skates.

(It’s more likely that the question is referring to the blue graph)

hope this helps! if you have any questions, feel free to comment them under this answer :)
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