Carmen's father is 28 years older than her and 3 years ago he was 5 times her age. What are their ages?

Answers

Answer 1

28-3=25

so 25/5=5

she is 5 year old

Answer 2
Let the age of father and daughter be x and y.
By the question,
x = y+28 equation i
Three years ago;
x-3 = 5 ( y- 3 ) equation ii
y + 28 - 3 = 5y - 15 ( substitute x in eq’n 2 )
y + 25 = 5y - 15
40 = 4y
y= 10
Thus daughter is 10 years old.
Father is 10 + 28 = 38 years.

Related Questions

Select the three equivalent expressions​

Answers

Step-by-step explanation:

4(2h + g)

4h + 4h +3g + g

2(4h + 2g)

Timothy swam 24 laps . Frank swam 72 laps. How many times as many laps did frank swim than timothy?

Answers

Answer:

3

Step-by-step explanation:

[tex]72[/tex]÷[tex]24=3[/tex]

Please help with this math work!! Solve for x , Assume which appear tangent are tangent

Answers

Answer:

photo is not clear so i can't help u

Answer:

i cant really see the q so sorry but goodluck <3

What fraction of the whole are the blue piece, the orange piece, the red piece, and the purple piece. How do you know?

Answers

red: 2/4
blue: 1/4
Purple: 1/4

Answer:

blue piece is 1/2 because it takes up half of the square, the purple is only 1/4 because it would take 4 purple to fill the big square and the orange is half of the purple so it takes double of pieces so 8 pieces which is 1/8

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....

Answers

Answer:

D

Step-by-step explanation:

1/12 X 110 = .0833333333 x 110 = 9.16

D. 9

Step-by-step explanation:

110÷12 = 9.1 however just round down to 9

since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it

What is the value of x?

Answers

Answer: 15

Step-by-step explanation:

x-6/(x-6)+3 = x/x+5

The x in the equation is 15

Complete the statement. Enter your answer in the box. Use fraction strips or number lines to help.

Answers

Answer:

you did not post a question?

Step-by-step explanation:

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Answers

58x9= 522
26 - 522 = -496

Answer:

-496

Step-by-step explanation:

it's right :)

What is the unit rate for the ratio 4/7: 8/21?

Answers

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

Evaluate the expression for p = 3.

7p

Answers

7(p)

p=3

7(3)

the answer is 21.
7p
p=3
7 x 3 = 21 is the correct answer

what numbers multiply to give 100 and when summed up give 25................................​

Answers

It’s 3 times 25 plus 74

5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd

Answers

15.6 . hope this helps

Find the surface area of the prism.

Answers

Answer:

386

Step-by-step explanation:

3/4(1/4x + 8) - (1/2x + 2) = 3/8(4-x) - 1/4x
What is the value of x?

Answers

Step-by-step explanation:

0.75(0.25x+8)-(0.5x+2)=0.375(4-x)-0.25x

0.1875x+6-0.5x-2=1.5-0.375x-0.25x

0.1875x-0.5x+0.375x+0.25x=1.5-6+2

0.3125x=-2.5

x=-2.5/0.3125

x= -8

What is the missing value?
54
30%
100%
?

Answers

Answer:

54

Step-by-step explanation:

The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex

Answers

Answer:

its called a vertex

Step-by-step explanation:

The line segments that form a polygon are called the sides of a polygon.

A point where two sides meet is a vertex.( in plural form is vertices)

The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool

Answers

Answer:

59m

Step-by-step explanation:

Length= 3 × ( width)

But perimeter= 2width + 2 Lenght= 472

Let length= X

Width= Y

X= 3Y.........eqn(1)

2X + 2Y= 472........eqn(2)

Substitute X= 3Y in eqn(2)

2(3Y) + 2Y = 472

6Y + 2Y= 472

8Y= 472

Y= 59 m

Hence, the width of the pool is 59 m

  help needed pls

Answers

A: alternate angles B: corresponding angles C: vertical angles

A circular wheel has a diameter of 42 cm. How far will it roll in 5
revolutions?​

Answers

Answer:

3.142

Step-by-step explanation:

Answer:

659.75 cm

Step-by-step explanation:

First, find the circumference with the formula C = 2[tex]\pi[/tex]r

The diameter is 42 cm, so the radius will be 21 cm

Plug in the radius into the equation and solve for C

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](21)

C = 131.95

Find how far it will roll by multiplying this by 5

131.95(5)

= 659.75

So, in 5 revolutions, it will roll 659.75 cm

A company that manufactures electronic components wants to know the mean discharge time of one particular type of capacitor that it makes. In order to estimate this value, they randomly select 100 capacitors and measure how long they take to discharge. The mean of this sample was 7.25 seconds with a standard deviation of 0.15 seconds. Assuming that this distribution is normal, construct a 99% confidence interval to estimate the mean discharge time for all capacitors of this type. Is this question asking for a confidence interval or hypothesis test

Answers

Answer:

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of sample x⁻ = 7.25 seconds

Given that the standard deviation of the sample (S)  = 0.15 seconds

Level of significance = 0.01

Degrees of freedom = n-1 =100-1 =99

t₀.₀₁ , ₉₉ = 2.3646

We have to find that the 99% of the confidence interval of the mean

Step(ii):-

99% confidence interval to estimate the mean discharge time for all capacitors

[tex](x^{-} - t_{0.01 , 99} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01 , 99} \frac{S}{\sqrt{n} } )[/tex]

[tex](7.25 - 2.3646 \frac{0.15}{\sqrt{100} } , 7.25 + 2.3646 \frac{0.15}{\sqrt{100} } )[/tex]

(7.25 - 0.0354 , 7.25 + 0.0354)

(7.2146, 7.2854)  

Final answer:-

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Given g(x) = -5x – 4, solve for x when g(x) = 1.

Answers

Answer:

g (1) = -5(1) -4

-5-4

-9............. .......

Step-by-step explanation:

-5(1)-4=-5-4=-9 Answer

hope it helps

Isaiah ran 100 meters on a 200 meter track. He started running on the 19 meter mark. On what Mark did he finish his run

Answers

Answer:

119

Step-by-step explanation:

19+100=119

Depends on the amount of marks but if there are 200 then the answer would be 119

I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?

Answers

Answer:

 7.5 min for each assignment

Step-by-step explanation:

1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:

15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60

Or we could multiply one hour, or 60 minutes, by  3 /4 .

    60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45

Three fourths of an hour is 45 minutes.

to find  time for each assignment =45/6

          7.5 min

y divided by the product of 3 and x

Answers

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

If y varies directly as x and x=6 when y = 3 what will y be when x = 10

Answers

Answer:

y = 5

Step-by-step explanation:

Can someone please help me out with this? I can’t figure out exactly what they are saying.

Answers

Answer:

Its English :))))))

Answer:

i would go fro the first one

Step-by-step explanation:

its asking whitch maple have the more absolute deviations

50 - (14 + 12 +2(5) + 2(2) + 3)

Answers

Answer:

50 - (14 + 12 +2(5) + 2(2) + 3)

solve the brackets first

50 - (14 + 12 + 10 + 4 + 3)

50 - (14 + 12 +2(5) + 2(2) + 3)

50- 43

7

The area of a square is 54 cm. What
is the length of each side of the
square?
A. between 8cm and 9cm
B. between 5cm and 6cm
C. between 6cm and 7cm
D. between 7cm and 8 cm

Answers

area is a^2 since all the sides r the same length
i’d say between 7cm and 8cm

In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest
tenth of a cm, how long is that leg?

Answers

Answer:

36.5 cm

Step-by-step explanation:

The Adjacent leg is 36.5 cm

What are trigonometric functions?

"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."

What is hypotenuse, opposite and adjacent side of a right angled triangle?

"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."

We have

Hypotenuse (AB) = 58 cm

Angle θ = 51 degree

From the figure, by using trigonometric functions

Cos θ = [tex]\frac{BC}{AB}[/tex]

we have to find BC

Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]

We have, AB = 58 cm

BC = AB cos [tex]51^{0}[/tex]

⇒BC = 58 . cos [tex]51^{0}[/tex]

⇒BC = 36.50 cm

⇒BC = 36.5 cm

Hence, Adjacent leg is 36.5 cm

Learn more about trigonometric functions here

https://brainly.in/question/1013629

#SPJ2

Pls awnser i will give brailiest

Answers

Answer:

A. 124

Step-by-step explanation:

first i found the area of the circle which is 113

then i multiplied that which gave me 452

then i used what's given "6" for a half circle and multiplied it by 4 and that gave me the size of one side of the square 24

then i multiplied 24 x 24 which is 576 the area of the square

lastly i subtracted 576-452

Brainliest pls

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