Jo's mother, Anne, is four times as old as Jo. In four years time, Anne will be three times as old as Jo. How old is Jo? (this is an easier version of a riddle we'll do in AP CS)

Answers

Answer 1

Answer:

Jo's age = x = 8 years

Step-by-step explanation:

Let

Jo's age = x

Jo's mother, Anne's age = 4x

In four years time, Anne will be three times as old as Jo.

Jo's age =3( x + 4)

Jo's mother, Anne's age = 4x + 4

How old is Jo?

Equate Jo's age and his mother's age

3(x + 4) = 4x + 4

3x + 12 = 4x + 4

3x - 4x = 4 - 12

-x = - 8

Divide both sides by -1

x = 8

Therefore,

Jo's age = x = 8 years


Related Questions

(6th grade math)
68.2x8.4=?

Answers

Answer:

572.88

Step-by-step explanation:

Use a calculator it makes it easier  

The solution of expression 68.2 × 8.4 after multiplying is,

⇒ 572.88

Given that,

A mathmatical expression to solve,

⇒ 68.2 × 8.4

Now, simplify the number and then multiply as,

⇒ [tex]68.2 \times 8.4[/tex]

⇒ [tex](68.2 \times \dfrac{10}{10} )\times ( 8.4 \times \dfrac{10}{10} )[/tex]

After multiplication the numbers we get;

⇒ [tex]\dfrac{682}{10} \times \dfrac{84}{10}[/tex]

⇒ [tex]\dfrac{57,288}{100}[/tex]

⇒ [tex]572.88[/tex]

Therefore, the solution of expression 68.2 × 8.4 is,

⇒ 572.88

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ6

Evaluate the expression. Need Answer Asap

Answers

Answer:

3

Step-by-step explanation:

(4p-m)/4

m=-4 and p=2

Since you know what m and p represent, it shouldn't be hard to solve.

(4 [2] - [-4] )/4   The 4 would be positive since there are two negatives.

(8 + 4)/4 Do the work inside the parenthesis first...

(12)/4 now divide.

Answer:

I hope this helps

Step-by-step explanation:

plz mark brainliest

In Cary's basketball career, he's made 80% of his free throws, plus or minus 5%. If he attempts 200 free throws this season, what is the range of successful free throws he can expect to make?

Answers

Answer:

150 to 170 successful free throws

Step-by-step explanation:

Total % of free throws made = 80%±5%

If attempted number of free throws = 200

Range of successful free throws to expect :

(80% - 5%) of 200 TO (80% + 5%) of 200

75% of 200 TO 85% of 200

(0.75 * 200) TO (0.85 * 200)

150 TO 170

150 - 170 successful free throws

Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?

Answers

Answer:

The difference between the high and low temperatures is 29°F

Step-by-step explanation:

Subtraction

The high temperature in Denver, Colorado was 25°F on Monday.

The low temperature was -4°F in the same place.

We are required to find the difference between the high and low temperatures.

We need to subtract 25 and -4:

Difference = 25°F - (-4°F)

Note we change the sign of the subtraction multiplying (-1) by (-1);

Difference = 25°F + 4°F

Difference = 29°F

The difference between the high and low temperatures is 29°F

Evaluate each expression if a = 3.45 and b = 15.356.
6. b-a.
7. a + b + 5

Answers

Answer:

11.906

23.806

Step-by-step explanation:

here you go also can you check my account for some lyrics i posted :)


Write the inequality graphed below. Use "x" as your variable



Answers

Answer:

x is greater than or equal to 3. x > 3

Step-by-step explanation:

help pleaeeeeesssssssss

Answers

Answer:

-2, b, a+c

Step-by-step explanation:

hope this helps!

Plz help I will mark branindiest?

Answers

Answer:

the answer is on google

Two water tanks are being filled. The water in Tank A is 3 inches deep, and the depth of the water increases 4
inches every hour. The water in Tank B is 10 inches deep, and the depth is increasing by 2 inches every hour.
Write an inequality to determine when the water in Tank A will be deeper than the water in Tank B.

I need an inequality written for what is written above please!!!

Answers

Answer:

i think it is this:

tank a: 6 hours?

tank b: 7 hours?

Step-by-step explanation:

sorry if im wrong if you can please give me brainliest<3 have a good day

Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?

reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up

reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis

vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis

Answers

Answer:

The correct option is;

Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

The given function is f(x) = -0.1·cos(x) - 4

The parent cosine function is cos(x)

Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;

The negative sign in the function gives a reflection across the x-axis

The 0.1 factor of the cosine function gives a compression of 0.1

The constant -4, gives a vertical translation 4 units down

Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.

Answer:

✔ vertical compression by a factor of 0.5

reflection across the y-axis

✔ vertical translation 3 units down

vertical stretch by a factor of 0.5

✔ reflection across the x-axis

vertical translation 3 units up

vertical translation 0.5 units down

or A.), B.), and D.)

The function rule y = –0.5cos(x) – 3 describes graph

✔ c shown.

Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29

Answers

Answer:

B, 36

Because, a composite number has factors

The others are prime

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

heLp pLs aNd tHanK yOUz

Answers

Answer:

5

1

20

4

35

7

45

9

50

10

Step-by-step explanation: each table holds 5 people, multiply the number of tables by 5 or divide the number of people by 5 to see how many tables needed

The width of a rectangle is 2 cm less than its length. The perimeter of the rectangle is 16 cm. What are the dimensions of the rectangle?

Answers

Answer:

Width=3 cm

Length=5 cm

Width is 3cm
Length is 5cm

question in pic. please help!

Answers

Answer:

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

Step-by-step explanation:

We need to place the sides of triangle DE, DF and EF from longest to shortest.

The triangle has longest side that is opposite to the largest angle

We know two angles < E= 61° , <F= 59° we need to find <D

Sum of angles of triangle = 180°

So, 61°+59°+<D=180°

120°+<D=180°

<D=180°-120°

<D=60°

So, the largest angle is <E= 61°

The longest side must be opposite to <E so, the side is DF

The second largest angle is <D=60° so, second side will be EF

The smallest angle is <F=59° so, third (shortest) side will be DE

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

[EASY + BRAINLIEST] Find the slope-intercept equation of the line. PLEASE HELP!

Answers

Answer:

y = 1x + 2

Step-by-step explanation:

i just did this question on brainly but another person asked it.

Y=1x+3 or am I wrong

Mrs. Martinez uses 1.5 pounds of flour for each loaf of bread she makes. How many
complete loaves of bread could she make with a 25-pound bag of flour?
A 16
B 17
C 26
D 37
I feel like its A or B bu idk which.. HELP

Answers

Answer:

16

Step-by-step explanation:

It would be 16 and one half but that’s not a choice so it would be 16 because when you add up 1.5 up closest to 25 you get 16 so therefore A is the answer

Lisa and Tim make necklaces. Lisa uses 5 red beads for every 3 yellow beads Tim uses 9 red beads for every 6 yellow beads Is the ratio of red beads to yellow beads in lisas necklace equivalent to the ratio in tim's necklace?

Answers

Answer:

No

Step-by-step explanation:

Lisa: 5 red beads to 3 yellow beads

Tim: 9 red beads to 6 yellow beads

5/3 & 9/6

5/3(2/2) = 10/6

10/6 & 9/6

10/6 > 9/6

10/6 is in fact greater than 9/6. So the answer is no.

HELPPP :(
Max is mountain hiking at a constant rate.

This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.

Which statement best describes Max's elevation, given this equation?

Max started at a height of 10 meters and is ascending at 30 meters per hour.

Max started at a height of 10 meters and is descending at 30 meters per hour.

Max started at a height of 30 meters and is ascending at 10 meters per hour.

Max started at a height of 30 meters and is descending at 10 meters per hour.
(If you don’t know the answer, please don’t spam :<)

Answers

Answer:

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

The statement that  best describes Max's elevation, given this equation is

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

Given that,

This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.

Explanation regarding the statement:The max should begins at the height of 30 meters. And, the ascending at 10 meters per hour.

Learn more about the height here: https://brainly.com/question/5281804

5/8 divided by 1 and 1/3?

Answers

Answer:

15/32

Step-by-step explanation:

First convert 1 1/3 to improper fraction:

  1 1/3 = 4/3

5/8 divided by 4/3 is same as...

  [tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]

Mr. Sampson fills the family pool with water for
the summer. After two hours, the water has
reached a depth of 2.5 feet. After three hours,
the water level has risen to 3 3/4feet. If the
relationship between time and water depth is
proportional, what is the constant of
proportionality?

Answer

A.1


B.1 1/4

C.1 1/2

D.2

Answers

Answer:

A, because the difference between 2.5 and 3 3/4 is 1. Thanks!

Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc where the measures of the corresponding central angles are the same. What is the relationship between the arc lengths in the two circles? Explain. (2 points)​

Answers

Answer:

[tex]L=2l[/tex] where [tex]l,L[/tex] denote arc lengths of two circles

Step-by-step explanation:

Let [tex]l,L[/tex] denote arc lengths of two circles, [tex]r,R[/tex] denote corresponding radii and

[tex]\alpha _1\,,\alpha _2[/tex] denote the corresponding central angles.

So,

[tex]l=r\alpha _1[/tex] and [tex]L=R\alpha _2[/tex]

This implies [tex]\alpha _1=\frac{l}{r}[/tex] and [tex]\alpha _2=\frac{L}{R}[/tex]

As each circle has an arc where the measures of the corresponding central angles are the same, [tex]\alpha _1=\alpha _2[/tex]

[tex]\frac{l}{r}=\frac{L}{R}[/tex]

As radius of one circle is twice the radius of the other circle,

[tex]R=2r[/tex]

[tex]\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l[/tex]

If the length of FH is 18 units, what is the value of x?
3
4
6
12

Answers

Answer:

The Value of x would be 3

Step-by-step explanation:

Answer is A

Answer:

A. 3

Step-by-step explanation:

8x+5x= 1300
what is x

Answers

Answer:

x = 100

Step-by-step explanation:

Original equation:

8x + 5x = 1300

Combine like factors

13x = 1300

Divide both sides by 13

x = 100

Hope this helps :)

Please consider Brainliest :)

Answer:

The answer is:

x= 100

Step-by-step explanation:

1. Collect like terms.

Turn 8x+5x to 13x

2. Divide both sides of the equation by 13.

13x= 1300

3. Then you should get, x= 100.

Hope this helps and if you could mark this as brainliest. Thanks!

Solve this system using elimination (20 POINTS)
4x-7y=3
x-7y=-15

Answers

Answer:

x = 6, y =3

Step-by-step explanation:

4x-7y=3

x-7y=-15

Multiply the first equation by -1

-4x+7y=-3

Then add this to the second equation to eliminate y

-4x+7y=-3

x-7y=-15

------------------

-3x +0y = -18

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

Now find y

x -7y = -15

6 -7y = -15

Subtract 6 from each side

6-7y-6 = -15-6

-7y = -21

Divide by -7

-7y/-7 = -21/-7

y =3

2. D-Vee-Ta Supermarket sells pears or $1.68 per kilogram. Estimate the prices for each
amount of pears. Explain how you made your estimation. Use may use the ratio table to
help in your explanation.
1
2
3
4
5
6
$1.68
3.36
5.04
6.72
2.a. 2.75kg
2.b. 0.19kg




Answers

Answer:

2.a. The price of 2.75 kg of pears is $4.62

2.b. The price of 0.19 kg of Pears is $ 0.3192

Step-by-step explanation:

The given parameters are;

The price of each kilogram of Pears = $1.68

Therefore, we have;

The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears

2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62

The price of 2.75 kg of pears = $4.62

2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192

When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°

angle of depression. How far away was Ren from her family (ground distance)? Round to the

nearest tenth of a meter.

Write answer like this: ##.# m.

(5 Points)

Enter your answer

Answers

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = [tex]90^{o}[/tex] - 20°

                             = [tex]70^{o}[/tex]

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]

⇒ x = 10 x Tan [tex]70^{o}[/tex]

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

How do you solve (3×-2)^3

Answers

Answer:

the answer should be -216

I need help here plz​

Answers

Answer:

E -5

Step-by-step explanation:

I need help with this please. I already did this problem but I think I made a mistake can you please look it over?

Answers

Answer:

it is corect

Step-by-step explanation:

Given the function below, what value will result in f(x)=10?
f(x)=1/2x+8

Answers

10 = 1/2x + 8
2 = 1/2x
X = 4
10=1/(2x)+8
1/(2x)=2
1=4x
X=1/4
Other Questions
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