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

Use the figure below to answer the question. What is the measure of ∠ABC? *

Answers

Answer:

D 98°

Step-by-step explanation:

180-82 = 98 or the long way

3x+5 = 180-82

3x = 93

x = 31

3(31) + 5 = 98

A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answers

Answer:

54  

Step-by-step explanation:

216 - 3x = 324 -5x

subtract 216 from both sides

add 5x to both sides

divide both sides by 2x.

The radius is 15 cm what is the area

Answers

Answer:

A =  225 π  c m [tex]x^{2}[/tex]

Step-by-step explanation:

the area of a circle formula with radius  

A  =  π r[tex]x^{2}[/tex]  

in this case

A = π ×  15[tex]x^{2}[/tex]  

A  =  225 π  c m[tex]x^{2}[/tex]

Answer:

Step-by-step explanation:

Area of a circle = π r²        you are given the r  radius =  15cm

   area = π 15² cm

HELP PLEASEEEEEEEEEE

Answers

Answer:

[tex]\frac{4}{9}[/tex] or 0.444.... repeating

Step-by-step explanation:

[tex]\frac{1}{3}[/tex]÷[tex]\frac{3}{4\\}[/tex] = [tex]\frac{1}{3}[/tex]×[tex]\frac{4}{3}[/tex] = [tex]\frac{4}{9\\}[/tex]

How do you simplify (3a^2b) /(5ac) x (10c) /(6ab) given that A, B, C does not equal to 0?

Answers

Answer:

1

Step-by-step explanation:

(3a²b) /(5ac) x (10c) /(6ab) = (3ab)/(5c) × (5c)/(3ab)1

Answer:

solution given:

(3a^2b) /(5ac) x (10c) /(6ab)

[tex] \frac{3a {}^{2}b }{5ac} \times \frac{10c}{6ab} \\ \frac{3ab \times 10c}{5c \times 6ab} \\ \frac{2}{2} \\ 1[/tex]

1 is your answer

Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0

Answers

The answer is D to your question

the Equation A. r²+ y² = 5 degenerate the circle.

What are the properties of the circle?

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Only option A, r²+ y² = 5

Satisfies the general equation of the line,

thus, From option A the coordinates of the circle on the plane r-y

is (0, 0) and the radius of the circle will be √5.

From option B,  x+y=7

It is the equation of the line.

From option C, x² + y² = -2

The sum of two squares can not be negative so it is not a real equation

From equation D, (x - 5)²+(y - 3)² = 0

The radius of a circle can not be zero otherwise it will become a point.

therefore, the Equation A. r²+ y² = 5 degenerate the circle.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ7

Complete question:

Which of the following is a degenerate circle?

O A. r²+ y² = 5

O B. x+y=7

O c. x² + y² = -2

O d. (x - 5)²+(y - 3)² = 0


In Winter of 2020 there were 20 total inches of snow. In Winter 2021 there were 38 total inches of snow. What was the percer
increase in inches of snow from 2020 to 2021?

Answers

To find the answer, you need to subtract the total inches of snow in 2021 by the total inches of snow in 2020.

So 38 -20= 18

Therefore,  from 2020 to 2021. The snow increased by 18 inches.

Hope this helped!

1) rotation 180° about the origin

Answers

Answer:

Q (0,1) H (3,5) J (5,3)

Step-by-step explanation:

Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.

(x,y) becomes (-x,-y).

So, (0, -1) becomes (0,1).

(-3,-5) becomes (3,5).

And, (-5, -3) becomes (5,3).

Answer: Here you go, hope this helps.

Step-by-step explanation:

yo can someone please help me out. school is rlly stressful and i just need help. the question is “find the perimeter and area of each figure. use 3.14 for pi when needed.” the work is on composite figures. tysm <3

Answers

These will be the answers

Which of the following points are solutions to the system of inequalities
shown below?
Check all that apply.
x + y = 4+3
y > 4
O A. (2, -1)
B. (3,6)
C. (2,8)
O D. (1,5)
E. (1,1)
O F. (-1,8)

Answers

D
E
AP3X..
QuIz
anskskskssksksskskwwf

Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...

Answers

Answer:

44x + 54

Step-by-step explanation:

The nth term of an arithmetic sequence is given by :

Tn = a + (n - 1)d

d = common difference = T2 - T1

d = T2 - T1

a = first term = - x + 9

d = 4x + 14 - (-x + 9)

d = 4x + 14 + x - 9

d = 5x + 5

The 10th term:

T(10) = (-x + 9) + (10 - 1)*(5x + 5)

T(10) = - x + 9 + 9(5x + 5)

T(10) = - x + 9 + 45x + 45

T(10) = 44x + 54

Hence, the 10th term is 44x + 54

What is a six sided shape called?

Answers

Answer:

hexagon

Step-by-step explanation:

A woman leaves home and walks 3 mi. west, and then 4 mi. south. What is the magnitude of her displacement? Note: they are not asking you to add how far she went west and south. They are asking how far she is from home if she went directly back. Think of a triangle.

Answers

Answer:

5 miles

Step-by-step explanation:

The route makes a right triangle with legs 3 mi and 4 mi, and the hypotenuse of x mi.

Use Pythagorean to find the distance:

x = [tex]\sqrt{3^2 + 4^2}[/tex] x = [tex]\sqrt{25}[/tex]x = 5 miles

Vector Review Practice Answers:

1. B - initial (14,-5); terminal (0,0)

2. A - sqrt(22^2 + 4^2)

3. B - <4,12>

4. D - Yes, the two vectors have the same magnitude and direction.

5. D - Vectors u and v are neither because the angle between the two vectors is not equal to 0 degrees, 90 degrees, or 180 degrees

6. C - approximately 4 mi. at a direction angle of 56 degrees northeast

7. A - approximately 174 mph at a direction angle of 58 degrees northeast

8. A - -200

9. D - W = 59 ft*lbs

10. C - u = 4/5i - 3/5j

4 1/2 times 2 2/5 times 3 3/4 equals

Answers

Answer:

[tex] 40 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]

[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]

[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]

[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]

[tex] = \dfrac{81}{2} [/tex]

[tex] = 40 \frac{1}{2} [/tex]

Answer:

4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5

Hope this helps!

write an equation for the nth term of the arithmetic sequence. Then find a40.

1/4,1/2,3/4,1,...​

Answers

Answer:

The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

1/4,1/2

This means that:

[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]

1/4

This means that [tex]a_1 = \frac{1}{4}[/tex]

The nth term is:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

Then find a40.

[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]

So

a40 = 10

The sales tax in your city is 8.8% and an item cost $63 before tax.

How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

Answer:

5.54 in tax

Step-by-step explanation:

63 x .088=5.54

Raquel has to fill-up 5 volleyball with air. Each ball has a radius of 4.5 inches. What is the volume of the 5 volleyballs all together?

WILL MARK BRAINLEST!!

Answers

Answer:

Mate just divide 5 by 4.5 and you got your answer (1.11)

Step-by-step explanation:

If you see any question that has each in its name then its a division question.

using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors. ​

Answers

Answer:

See below

Step-by-step explanation:

Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:

(ax+p)(x+q) where p+q=b and pq=c

Plz help me..........

Answers

Answer: 7 cubic meters

Step-by-step explanation:

you add

What is the answer please help no links I will report


Answer choices

35%
48%
52%

Answers

Answer:

Step-by-step explanation:

T-Ball 52%                   Soccer 48%               Basketball 35%

PEMDAS Which one in the equation goes first?

Answers

Answer:

A

Step-by-step explanation:

A because the first letter in PEMDAS is P, which is parenthesis.

Answer:

The Parenthesis

Step-by-step explanation:

these (    )

My cousin needs help with this question.

Answers

I believe the answer is 3

Answer:

3 feet per minute

Step-by-step explanation:

Look at an easy to read point on a grid line intersection.

Then find the slope. Slope = constant of proportionality.

For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.

(6 ft)/(2 sec) = 3 feet per minute

Answer: 3 feet per minute

the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes

Answers

the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes
The answer is b I believe.


Someone PLEASEEE HELP ME WITH THISSS

Answers

Answer:

6 out of 100 and 3 out of 50

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample​ values, x_ = 33.2​hg, and s = 2.9 ​hg?

Answers

Answer:

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level.

The confidence interval of mean

=32.9 ± 1.96 × 6.9/250

Confidence Interval = 32.9 ± 0.5382

Help I would love to give you a thanks

Answers

Answer:

Formula

Step-by-step explanation:

Answer:

formula because it gives you the number and tells you what to do.

PLSSS HELP (4x - 1)
(3x)

Answers

Answer:

x = 13

Step-by-step explanation:

3x + 4x-1 +90 = 180

7x = 91

x = 13

Please help find answer to questions 22

Answers

9514 1404 393

Answer:

  A)  26°

Step-by-step explanation:

The angle x decreases at a rate that is 12 times the rate of increase of angle y.

  x = 360 -12y

We want x = 2y, so ...

  2y = 360 -12y

  14y = 360

  y = 360/14 ≈ 25.71 ≈ 26

The integer angle closest to y is 26°.

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

What is the value of z?

Answers

Answer

61

Step-by-step explanation:

subtract 180-73.8-46.2

Answer:

The value of z is 26.6

Step-by-step explanation:

72.6 - 46.2=26.6

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