two years ago a man was six times as old as his daughter. In 18 years he will be twice as old as her, determine their present ages

Answers

Answer 1

Step-by-step explanation:

Let m = man's age right now

d = daughter's age right now

m-2 = 6(d-2)  =>  m = 6d -12 +2 = 6d-10

m+18 = 2(d+18)   =>   m = 2d+36-18 = 2d+18

6d-10 = 2d+18

4d = 28

d = 7

m = 32


Related Questions

I need help graphing -9x+6y=18​

Answers

Answer:

Graph attached as a screenshot. Hope this helps!

Write an equation to represent the following: Dave paid for lunch for everyone at
his office, he bought 12 tacos and 18 burritos. He spent $108 total. How much are
burritos if tacos are $3?

Answers

12t + 18b = 108
12(3) + 18b = 108
36 + 18b = 108
18b = 72
b = 4

Burritos are $4

Janice rolls a fair number cube sixty times. She rolled the number four 12 times.
What is the experimental probability of rolling the number four?

Answers

Answer:0.5

Step-by-step explanation:

60➗12

Probability of an event is the measure of its chance of occurrence. The experimental probability of Janice rolling the number four is 0.2

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

For this case, we're specified that:

The event in consideration is "Rolling the number 4"

The times she rolled the number 4 is: 12

She got four 12 times in 60 rolls of the considered cube.

Thus, we have:

E = Rolling the number 4 on the considered cubeNumber of times E occured = 12Number of times experiment was done = 60

Thus, we get:

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}} = \dfrac{12}{60} = \dfrac{1}{5} = 0.2[/tex]

Thus, the experimental probability of Janice rolling the number four is 0.2

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Determine if the following system of equations has No Solution or Infinitely Many Solutions.
4y - 2 = x
y = 3x +

Answers

Answer:

Infinitely Many

Step-by-step explanation:

I got it right

I need help quick!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Plants need carbon dioxide this enables them to photosynthesis and produces oxygen

So A is the correct answer

Please help I really don’t understand this

Answers

Answer:

for number 1 set them equal to each other so like 6x-44=88 and then solve for x and do the same thing for the second one

Select the correct answer. Which number has a terminating decimal expansion? A. 2/7 B.√12 C. 5/8 D. 2/11

Answers

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

Terminating decimal

A decimal number that contains a finite number of digits after the decimal point is called terminating decimal .

for example 0.123 is terminating decimal as it has finite number of digits after decimal point.

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

Terminating decimal

A decimal number that contains a finite number of digits after the decimal point is called terminating decimal .

for example 0.123 is terminating decimal as it has finite number of digits after decimal point.

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

Joshua spends $0.25 for every song he downloads to hid cell phone. Which of the following represents the number of songs he can download if he has $3

Answers

Answer:

12 songs

Step-by-step explanation:

to create an indian flag as per the standard ​

Answers

what is your question about

Answer:

The flag of India is composed of three horizontal stripes. The top stripe is a deep saffron colour, the middle is white, and the bottom is green. In the centre of the white stripe is a 24-spoked blue chakra (wheel). The flag's width-to-length ratio is 2 to 3.

Step-by-step explanation:

Maria and her friend ride their bikes. They start at 12:47 and end at 2:29. How long did they ride their bikes for?

Answers

Answer:

Their bide ride was 1 hour and 42 minutes

in school there are 450 students in total. if 2/3 are boys, find the number of girls in the school​

Answers

ANSWER: 150

Step-by-step explanation:

2/3 of 450 is 300

450-300=150

Given the point (−5,2), write the coordinates of a point that is related by a reflection over the -axis. Write your answer with a comma and no spaces.

Answers

Answer:

hmmmmmmmmmmmmmm ,   hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

A kangaroo hops 2 kilometers in 3 minutes. At this rate how long does it take the kangaroo to travel 3 kilometers?

Answers

Answer:

4 minutes 3 seconds

Step-by-step explanation:

Step one:

Given data

A kangaroo hops 2 kilometers in 3 minutes

The rate/speed is

rate/speed= 2/3 km per minute

Required

the time taken to cover 3 km

Step two:

We know that

rate= distance/time

2/3= 3/t

cross multiply we have

2t=3*3

2t=9

divide both sides by 2

t= 9/2

t= 4.5 minutes

t= 4 minutes 3 seconds

Simplify the expression
5i(6-8)
A. 40-30i
B. 40+30i
C. -30+40i
D. 30+40i

Answers

Answer:

D hope this helps :)

Step-by-step explanation:

Which relationships describe the angle pair x° and 157°? Select each correct answer. O complementary angles 1570 O supplementary angles o adjacent angles vertical angles​

Answers

Answer:

Supplementary angles and adjacent angle

Step-by-step explanation:

Both angles x° and angle 157° are supplementary ; this is because the sum of both angles should add up to 180°.Looking closely, each both angles will combine to form angle on a Straight line which from angle theorem adds up to 180°.

Also both angles x° and 157° are adjacent angles most simply because they share a common vertex(this can be interpreted as the point of intersection of the two lines which makes up the diagram.)

f(x)=x^2. What is g(x)?
given the point (1,4)
A. g(x)=4x^2
B. g(x)=16x^2
C. g(x)=1/4x^2
D. g(x)=(4x)2

Answers

Answer:

D. g(x)=(4x)^2

Step-by-step explanation:

(A.P.E.X)

The function g(x) is g(x) = 4x² after applying the tansformation because the f(x) is the parent function option (A) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

The options are:

A. g(x)=4x²

B. g(x)=16x²

C. g(x)=1/4x²

D. g(x)=(4x)²

It is given that:

f(x) = x²

From the graph as we can see the function f(x) is the parent function and g(x) is transformed function.

The function g(x):

g(x) = ax²

Plug x = 1

g(x) = 4

4 = 1²a

a = 4

g(x) = 4x²

Thus, the function g(x) is g(x) = 4x² after applying the tansformation because the f(x) is the parent function option (A) is correct.

Learn more about the function here:

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What is the transformation of y= (x + 3)2 + 2 from the parent function
y = x²?

Answers

Answer:

sdgghjjkugzdbhgfbufsfh

if one face of a cube has an area of 6.75 square inches , what is the surface area of the entire cube ?​

Answers

Answer:

40.5

Step-by-step explanation:

a cube has 6 faces so 6.75 x 6 = 40.5

On a blueprint, an architect uses a scale of 3 cm : 8 ft. If a building is drawn to be 42 cm tall, what is the height of the actual building?

Answers

Answer:

112 feet

Step-by-step explanation:

3 x 14 = 42

8 x 14 = 112

Which of the following lines is parallel to the line y=-1/2x-6?

Select one:
a. y=-1/2x-6
b. y=1/2x-3
c. y=2x+1
d. y=-1/2x+5

Answers

Answer:

D

Step-by-step explanation:

A is the same line

B is not negative

C is perpendicular

D has the same slope and a different y-intercept

solve for a.

a + (-7) = -17

A. a = -24

B. = -10

C. a = 10

D. a = 24

Answers

Answer:

the answer is A

Step-by-step explanation:

-17 - (-7) = -24

a = -24

Answer:

b) a = -10

Step-by-step explanation:

a + (-7) = -17

simplify

a - 7 = -17

add 7 to both sides of the equation

a - 7 + 7 = -17 + 7

a = -17 + 7

a = -10

Clare has a recipe for yellow cake she uses 9 1/3 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups of flour. What equation would show the relationship between cake and flour?

Answers

Answer:

[tex]c=\frac{3}{7}f[/tex]

Step-by-step explanation:

Clare uses [tex]9\frac{1}{3}[/tex] cups of flour to make 4 cakes.

Noah follows the same recipe so the ratio of the ingredients used will be proportional.

If Noah uses f cups of flour for c cakes,

[tex]\frac{c}{f} =\frac{4}{9\frac{1}{3}}[/tex]

[tex]\frac{c}{f} =\frac{4}{\frac{28}{3}}[/tex]

[tex]\frac{c}{f} =\frac{4\times 3}{28}[/tex]

[tex]c=\frac{3}{7}f[/tex]

Therefore, relation between cake and flour used is,

[tex]c=\frac{3}{7}f[/tex]

pls help asap what is the area of this figure ​

Answers

Answer:

255

Step-by-step explanation:

Mark Me Brainliest Please

is my fourth answer right or wrong

Answers

Answer: Right

Step-by-step explanation:

Answer:

Your answers for #2 and #4 are incorrect.

Step-by-step explanation:

For #2:

For one half hour in the garage, simply divide the one hour rate in half. 5/2= 2.5

For #4:

For 1.75 hours in the garage, the answer will be less than your answer for two hours. So, if 2hrs is $10, then the answer for 1.75 hrs must be 7.5

1) Danielle earns 9% commission on all the makeup sales she makes. This past week she sold $895 worth of makeup. How much money did Danielle earn from her sales? *


Can someone plz answer this ​

Answers

Answer:

$80.55

Step-by-step explanation:

9% of 895 = 80.55

The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?

Answers

Answer:

C (The lower left one)

Step-by-step explanation:

I saw that the vertex was equal to (-1,1) and that is the only answer that makes sense

The graph of the function y = x shifted 1 unit up and moved 1 unit to the left

so the new function is now y = (x + 1) + 1.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

By observing the figure we conclude that it shifted 1 unit up and moved 1 unit to the left.

If the original graph was y = x now it is y = (x + 1) + 1.

learn more about graphs here :

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HELP PLEASE!!!!! I NEED IT DONE SOON

Answers

Answer:

AB

Step-by-step explanation:

how do you solve systems by graphing

Answers

Answer:

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.

Step-by-step explanation:

Brainliest?

A bottle holds 48 tsp of vanilla. The amount of A of vanilla remaining in the bottle decreases by 2 tsp per batch b of cookies. what is the rule​

Answers

Rule=-2 per batch
I think

What is the equation of the line that passes through the point (0,-5) and is parallel to the graph y=9x?

Answers

Answer:

llll

Step-by-step explanation:

gfhg

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