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

What is the quotient of 1476 and 12

Answers

The quotient is 123.
The quotient of 1476/12 is 123

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

231 dollars

Step-by-step explanation:

216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231

brainliest plz

Each one is 6.5 in total 5,000999999

Which situation results in a final value of zero

Answers

Answer:

                       

Step-by-step explanation:

(It's Free!!!!)
Enjoy!

The dot plots show 20 scores on two different tests.
What is the difference of the ranges?

A) 20
B) 35
C) 5
D) 10

Answers

Answer:

A) 20

Step-by-step explanation:

Test 1:

90-50 = 40

Test 2:

100-40 = 60

Difference:

60-40 = 20

PLEASE HELP ME... I WILL GIVE BRAINLIEST TO CORRECT PERSON. ALSO THIS IS FOR EDGE

Answers

Answer:

C

Step-by-step explanation:

The equation for the dotted line is y=(-1/2)x, so therefore y<(-1/2)x must be the area under the dotted line.

The equation for the solid line is y=2x+3, so therefore y≥2x+3 must be the area above the solid line.

The section that is both under the dotted line and above the solid line is C.

If F(x) = x - 5 and G(x) = x2, what is G(F(x))?

Answers

Answer:Step-by-step explanation:

G(F(x))=(x - 5)²

PLEASE HELP ME THANKS!

Answers

Answer:

i think it is B. x^ab, but i could be wrong

Step-by-step explanation:

pemdas so take

x^(a+b)

x^(ab)

x^ab

probably wrong

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes. Fast ill give so many points

Answers

Step-by-step explanation:

Hope this helped. X axis is horizontal and Y axis is Diagonal.

the original selling price for a jacket was s dollars. the selling price was then changed on two occasion by the store owner. its price is now represents by 0.85(1.4s), which expression could explain what happened to the price of the jacket?

Answers

Answer:

D

Step-by-step explanation:

A car was purchased for $34,000. The car depreciates by 27% of each year

a) What is the value of the car when it is 12 years old?

b) How long will it take for the car to be worth less than $100?

Answers

Answer: a) $778.67  b) 19 years

Step-by-step explanation:

The formula you would use is

[tex]a_{n}=P(1-r)^{n}[/tex]

where a is the amount

n is the length of time

P is the principle

and r is the rate in decimal form

a)

[tex]a^{12} =34,000(1-.27)^{12} \\a_{12}=34,000(.73)^{12}\\a_{12} =778.67[/tex]

b)

put your initial equation into a graphing calculator and  use the table function to find that after 18 years it is worth 117 and in 19 years 86-

A circular hot spring has a diameter of 106 meters. Over time, the diameter of the spring decreases by 2 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for

Answers

Answer:

The area decreased by 329.7 square meters.

Step-by-step explanation:

For a circle of diameter D, the area is:

A = pi*(D/2)^2

with pi = 3.14

In this case, we start with a circle of D = 106m

Then the initial area is:

A = 3.14*(106m/2)^2 = 8,820.26 m^2

After, the diameter is decreased by two meters, then the new diameter is:

D' = 106m - 2m = 104m

And the new area will be:

A' = 3.14*(104m/2)^2 = 8,490.56 m^2

The change in the area is A - A' = 8,820.26 m^2 - 8,490.56 m^2 = 329.7m^2

The area decreased by 329.7 square meters.


In a class of 10, there are 5 students who play soccer.
If the teacher chooses 2 students, what is the probability that both of them play soccer?


Answers

Answer:

Step-by-step explanation: 5/10=1/2  - if one student  are chosen, who plays soccer

4/9 if then the second student are chosen, who plays soccer

1/2*4/9=2/9 the probability that both  students play soccer

A local university has just received a shipment of 200 Wacom tablets from an area vendor. The probability of an Wacom tablet being defective is estimated to be 0.10. A random sample of 25 Wacom tablets is selected for testing. If three or more defective Wacom tablets are found, the entire shipment of Wacom tablets is sent back to the vendor. Find the probability that the shipment will be sent back to the vendor.

Answers

Answer:

0.4629

Step-by-step explanation:

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Number of trials, n = 25

Probability of having defective tablet greater than 3 p(x ≥ 3) ;

p = 0.10 ;

1 - p = 1 - 0.10 = 0.90

P(x ≥ 3) = P(x = 3) + p(x = 4) +.... + p(x = 25)

Using a binomial probability calculator :

P(x ≥ 3) = 0.4629

Therefore, the probability that shipment would be sent back to the vendor is 0.4629

How many solutions does the following system of equations have?

y = 2x + 6
y = 4x + 12

A) One solution
B) Infinitely Many Solutions
C) No Solution
D) Two Solutions

Answers

Answer:

only one

Step-by-step explanation:

because by everymethod answer is -3

Answer:

D

Step-by-step explanation:

Solve the following equation: 8x + 6 + 3x - 4
Please hurry.

Answers

Answer:

A

Step-by-step explanation:

x = -2

Answer:

x=-2

Step-by-step explanation:

I would put steps, but it sounds like your in a hurry, so there is the answer, if you want, I can put the steps in the comments

But yeah

If that helps, plz mark brainiest, i'm almost leveled up :3

Thanks!

Jose earns $24.30 per hour teaching swimming lessons.
2
How much will he earn in 7.5 hours?

Answers

yes i do you have a good day today

Answer:

$182.25

Step-by-step explanation:

You just times the per hour to the amount of hours. Hope this helps

If the two spinners below are spun, what is the probability that the numbers will add to more than 4?

Answers

The image of the labeled spinner isn't attached

Answer:

Kindly check explanation

Step-by-step explanation:

Answering hypothetically ;

First create a sample space using the label of the two spinners ;

Each space will be the sum of the possible number that shows up on each turn of the spinner.

From the sample space, count the number of spaces where, the sun is greater than 4, that is the required outcome ; = x

Then the total number of samples in the sole space = total possible outcomes = y

Hence,

P(obtaining a sum greater than 4) = required outcome / Total possible outcomes

= x / y

Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).

© 2020 StrongMind. Created using GeoGebra.

Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units

Answers

C -  When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative

what are the lengths of sides a and c ​

Answers

Answer: a is 4 mm, c is 8 mm

Step-by-step explanation:

the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side  is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.

the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse

divide the adjacent side by [tex]\sqrt{3}[/tex]  and we have the opposite side: 4

the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm

Which rectangle will have the largest area?

l = 6 cm, w = 5 cm
l = 6 cm, w = 7 cm
l = 4 cm, w = 10 cm
l = 9 cm, w = 4 cm
Help ASAP!!

Answers

Answer:

l = 6 cm, w = 7 cm

Step-by-step explanation:

What is the answer no link I will report and banned you

Answers

25% is the correct answer!1,000 ÷ 4,000 = 0.250.25 = 25%

Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement about the
students' nets is true?

Answers

where’s the statements?

Answer:

d

Step-by-step explanation:


Which of the following represents 104Σ6?
n=1
O (1 x 6) + (104 x 6) = 630
O (1x6) (104 x 6) = 3,744
O 6(104) = 624
O 6(104 - 1) = 618

Answers

Answer:

C. 6(104)=624

Step-by-step explanation:

edge quiz

The equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24

How to evaluate the sigma notation?

The sigma notation is given as:

[tex]\sum \limits^{104}_{n = 1} {6}[/tex]

The above means that we add 6 in 104 places.

i.e. 6₁ + 6₂ + ................ + 6₁₀₄

The expression can be expressed using the following product

[tex]\sum \limits^{104}_{n = 1} {6} = 6 * 104[/tex]

Evaluate the product

[tex]\sum \limits^{104}_{n = 1} {6} = 624[/tex]

Hence, the equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24

Read more about sigma notation at:

https://brainly.com/question/1799839

I need this please help me

Answers

i believe it's c. it's the only reasonable answer.
I think it’s option C I’m not 100% sure sry if I’m wrong

11x + x helppp plzzz

Answers

This answers would be 12x

Paying my bills late will most likely cause my credit score to go down.

True or False

(GIVING BRAINLIEST)

Answers

Answer:

True

Step-by-step explanation:

The area of a rectangle is 144a^8b^4 square units. If the width of the rectangle is 8a²b^2 units, what is the length in units?

A 18a^6b^2 units

B 136a^6b^2 units

C 152a^10b^6 units

D 1152a^10b^6 units​

Answers

Answer:

A) 18a^6b^2

Step-by-step explanation:

area = width x length

length = area/width

144a^8b^4/8a²b^2 = 18a^6b^2

Plz hurry 100 points

Answers

Answer:

Step-by-step explanation:

1575 ÷ 14 = 112 remainder 7

Answer:

The manager can fill 112 bags with 7 rocks leftover

Step-by-step explanation:

The equation is 1575/14 or 1575 divided by 14. This is equal to 112 remainder 7. Therefore, the answer  the manager can fill 112 bags with 7 rocks leftover.

Nara buys 20 ounces of dried cherries in bulk. If dried
cherries cost $0.55 per ounce, how much will she pay?

Answers

Answer:

11 dollars, is you multiply .55 by 20 its 11

I need this equation in standard form

Answers

Answer:

-2x + y - 1 = 0

Step-by-step explanation:

Standard form is Ax + By + C = 0

2x + y = -19 indeedddddddddddddddddddddddddddddd

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