Raeana is twice as old as Madeline, and Laura is 10 years older than Raena. If Laura is 50 years old, how old is Madeline? Define your variables.

Answers

Answer 1

Answer: Madeline is 20 yrs old

Step-by-step explanation:

If Laura is 50 and she is 10 years older than Raena then Raena is 40 that would then make Madeline 20 years old.

Answer 2

Final answer:

To determine Madeline's age, we set up an equation based on the given relationship and solved it to find that Madeline is 20 years old.

Explanation:

To solve the question about Raeana, Madeline, and Laura's ages, we first define the variables. Let's denote Madeline's age as M. Since Raeana is twice as old as Madeline, Raeana's age would be 2M.

The problem states that Laura is 10 years older than Raeana, making Laura's age 2M + 10. Given that Laura is 50 years old, we can set up an equation: 2M + 10 = 50.

Now, we solve for M:
Subtract 10 from both sides of the equation to isolate the term with M on one side: 2M = 40.

Divide both sides by 2 to solve for M: M = 20.

Therefore, Madeline is 20 years old.


Related Questions

please help me answer this question.

Answers

Answer:

π/64

Step-by-step explanation:

assuming that c= circumference, and the circumference being 2πr(radius), then r=1/8 because 2π/8=π/4. to find the area, we use the formula πr^2, or π*1/8^2, or π/64

the perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answers

Answer:

2x+3y

Step-by-step explanation:

first you group up the sides and subtract from the perimeter to get the last side. then combine all the sides to see if your answer is correct.

someone help me out here asap the formula is v=lwh?​

Answers

Answer:

V=8xxxyyy=8x³y³

Step-by-step explanation:

In the question, V=lwh, the value for l is given to us as 2xy. Because it is a cube, all of the length of the edges are the same, so l=w=h, which means w=2xy and h=2xy.

Plug in w=2xy h=2xy l=2xy into the equation V=lwh.

V=2xy·2xy·2xy

V=(2·2·2)(x·x·x)(y·y·y)

V=8xxxyyy=8x³y³

zoom in closely, pls help me

Answers

Answer:  a = 11.1

Step-by-step explanation:

a(0.3 - y) + 1.1 + 2.4x = 0

Let y = 1.3 → a(0.3 - 1.3) + 1.1 + 2.4x = 0 → -a + 1.1 + 2.4x = 0 → a = 1.1 + 2.4x

(y - 1.2) = -1.2(x - 0.5)

Let y = 1.3 → (1.3 - 1.2) = -1.2(x - 0.5) → 0.1 = -1.2x + 0.6 → -0.5 = -1.2x → [tex]\dfrac{50}{12}=x\ \rightarrow\ \dfrac{25}{6}=x[/tex]

a = 1.1 + 2.4x

   [tex]=1.1+2.4\bigg(\dfrac{25}{6}\bigg)[/tex]

   = 1.1 + 0.4(25)

   = 1.1 + 10

   = 11.1

Answer: I agree with 11.1

Step-by-step explanation:

The number of eggs in the refrigerator e decreased by 5 equals 18

Answers

Answer:

e=23

Step-by-step explanation:

The equation representing this scenario is e-5=18.

Add 5 to both sides and you get e=23 (eggs)

Answer:

e=23

Step-by-step explanation:

Lines a and b are perpendicular. The slope of line a is −2. What is the slope of line b?

Answers

Answer:

1/2

Step-by-step explanation:

if the one line's slope is m = –2, then the perpendicular line's slope will be m= 1/2 (the slope of a perpendicular line is the reciprocal of the slope of the first line)

Answer:

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

Step-by-step explanation:

I will call [tex]m_{a}[/tex] the slope of line [tex]a[/tex], and [tex]m_{b}[/tex] the slope of line [tex]b[/tex].

For two lines to be perpendicular, the following must be satisfied:

[tex]m_{a}*m_{b}=-1[/tex]

in this case we know:

[tex]m_{a}=-2[/tex]

so:

[tex](-2)*m_{b}=-1[/tex]

And clearing for the slope of line [tex]b[/tex]:

[tex]m_{b}=\frac{-1}{-2} \\m_{b}=\frac{1}{2}[/tex]

The slope of the line [tex]b[/tex] which is perpendicular to line [tex]a[/tex] is [tex]\frac{1}{2}[/tex]

A car drove for 50 seconds in that time it traveled 100 meters. What’s the speed of the car?

Answers

Answer:

2m/s

2 meters per second

Step-by-step explanation:

Formula for speed is distance (meters) over time (seconds) after you divide you get 2. Please give me the brainliest answer?

:) Hoped this helped!!! Have a good day!!! <3

Answer:

2 Meters per second

Step-by-step explanation:

Determine the volume of a sphere with a great circle of radius 12 cm.

Answers

Answer:

7238 cm³

Step-by-step explanation:

The radius of the great circle is the radius of the sphere.

The formula for the volume of a sphere is

V = ⁴/₃πr³

V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³

Volume is a three-dimensional scalar quantity. The volume of a sphere with a great circle of radius 12 cm is 7238.2295 cm³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface. It is a three-dimensional scalar quantity.

The volume of the sphere with a radius of 12 cm is,

The volume of the sphere = 4/3 πr³

                                            = (4/3) × π × (12)³

                                            = 7238.2295 cm³

Learn more about Volume:

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289.1 is 70% of what amount​

Answers

70% × 413 =

(70 ÷ 100) × 413 =

(70 × 413) ÷ 100 =

28,910 ÷ 100 =

289.1

Proof

289.1 ÷ 413 =

0.7 =

0.7 × 100/100 =

0.7 × 100% =

(0.7 × 100)% =

70%

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The terms of a sequence increase by a constant amount. If the first term is 7 and the fourth term is 16: list the first six terms of the sequence

Answers

Answer:

Step-by-step explanation:

s = sequence

[tex]s_{1}[/tex] = first term of sequence

[tex]s_{1}[/tex] = 7

[tex]s_{4}[/tex] = 16

Find the difference between the term number and the values.

Terms:

4 - 1 = 3

Values:

16 - 7 = 9

For every 3 terms, you add 9.

Divide, to find the amount you add for 1 terms.

3 / 3 = 1

9 / 3 = 3

For every 1 terms, you add 3.

Answer:

[tex]s_{1}[/tex]= 7

[tex]s_{2}[/tex]= 10

[tex]s_{3}[/tex]= 13

[tex]s_{4}[/tex]= 16

[tex]s_{5}[/tex]= 19

[tex]s_{6}[/tex]= 22

convert 8.25% to a decimal

Answers

Nxkxmxmcncncncncncncncncncncncncncncncncncc

8.25 divided by 100=0.0825

7x-3/8=6x-5/8 what is x

Answers

7x - 3/8 = 6x -5/8

Subtract 6x from each side:

x - 3/8 = -5/8

Add 3/8 to each side:

x = -5/8 + 3/8

x = -2/8

x = -1/4

Solve the following equation by identifying all of its roots including any imaginary numbers and multiple roots.

(x2 - 1)(x2 + 2)(x + 3)(x - 4)(x + 1) = 0

Answers

Answer:  x = {-1, 1, -i√2, i√2, -3, 4}

Step-by-step explanation:

(x² - 1)(x² + 2)(x + 3)(x - 4)(x+1)=0

Set each factor equal to zero and solve.

x² - 1 = 0  →  x² = 1  →  x = ±1

x² + 2 = 0  →  x² = -2  →  x = ± i√2

x + 3 = 0  →  x = -3

x - 4 = 0  →  x = 4

x + 1 = 0  →  x = -1   (note that -1 is a duplicate - solved from the first factor)

Answer:

Answer:  x = {-1, 1, -i√2, i√2, -3, 4}

Step-by-step explanation:

(4,?) is on the line below. Find the other half of the coordinate. y=3/4x+3. Solve

Answers

Answer:

y = 6

Step-by-step explanation:

Given

y = [tex]\frac{3}{4}[/tex] x + 3 and (4, ? )

Substitute the x- coordinate x = 4 into the equation for corresponding value of the y- coordinate.

x = 4 : y = [tex]\frac{3}{4}[/tex] × 4 + 3 = 3 + 3 = 6

Hence the coordinate point is (4, 6)

Analyze the diagram below and complete the instructions that follow. Find the surface area of the rectangular prism. Round your answer to the nearest hundredth. A. 157.89 cm^2 B. 306.95 cm^2 C. 346.16 cm^2 D. 347.45 cm^2

Answers

Answer: OPTION D

Step-by-step explanation:

To solve this problem you must apply the formula for calculate  the surface area of the rectangular prism:

[tex]SA=2(wh+lw+lh)[/tex]

Where w is the width, h is the heigh and l is the lenght.

Based on the rectangular prism shown, you have that:

[tex]w=9.08cm\\h=3.23cm\\l=11.73cm[/tex]

Finally when you substitute values into the formula you obtain the following result:

[tex]SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2[/tex]

Answer:

D

Step-by-step explanation:

The surface area is the area of all the surfaces, together.

A rectangular prism has 6 rectangular surfaces. We need to add those 6 faces and sum it.

There are 2 faces with length 3.23 and width 9.08. So,

Area = 2 ( 3.23 * 9.08 ) = 58.6568

There are 2 faces with length 11.73 and width 3.23. So,

Area = 2 ( 3.23 * 11.73 ) = 75.7758

There are 2 faces with length 11.73 and width 9.08. So,

Area = 2 ( 11.73 * 9.08 ) = 213.0168

Summing all of them up,

Surface area of Rectangular Prism = 58.6568 + 75.7758 + 213.0168

=347.4494

* Rounding to nearest hundredth, 347.45 cm ^2

*15 points

A squirrel jumps straight up with an initial vertical velocity of 16 feet per second. How many times does the squirrel reach a height of 4 feet? Explain your answer.

Answers

Final answer:

The squirrel reaches a height of 4 feet twice during its trajectory: once on the way up and once on the way down due to symmetrical motion.

Explanation:

The squirrel will reach a height of 4 feet twice during its trajectory. To understand why, let's analyze the motion. The squirrel's vertical motion can be described by the equation [tex]\( h(t) = h_0 + v_0t - \frac{1}{2}gt^2 \),[/tex] where [tex]\( h(t) \)[/tex] is the height at time[tex]\( t \), \( h_0 \) is the initial height, \( v_0 \) is the initial velocity, and \( g \) is the acceleration due[/tex]  to gravity.

Given that[tex]\( h_0 = 0 \), \( v_0 = 16 \) ft/s, and \( g = 32 \) ft/s^2,[/tex] we can plug in these values to find the times at which the squirrel reaches a height of 4 feet. Solving the equation[tex]\( h(t) = 4 \) for \( t \),[/tex] we get two solutions:[tex]\( t = 1 \) second and \( t = 3 \)[/tex] seconds. This means the squirrel reaches a height of 4 feet once on its way up and once on its way down. So, the squirrel reaches a height of 4 feet twice.

Ms. Franklin earns $ 15 an hour. For this year, she will be paid for 40 hours each week for 52 weeks. How much should Ms. Franklin expect to earn this year?​

Answers

Answer:

About $31,200

Step-by-step explanation:

Sequence of 2,4,7,17,33 what is the next term after 33

Answers

Answer:67

Step-by-step explanation:

Find the exponential function that passes through the points (1, 3) and (2, 9). A) y = 12x B) y = 9x C) y = 6x D) y = 3x

Answers

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.

Given a mean of 100, and a standard deviation of 5.3, what is the Z-score for 130?

Answers

Answer:

5.66038

Step-by-step explanation:

Given  

Mean= μ=100

SD= σ=5.3

Z-score of 130= ?

The z-score of any value tells us that how many standard deviations that value is from the average or mean.

The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.

z-score=  (x- μ)/σ

z-score of 130=  (130-100)/5.3

=30/5.3

=5.66038

A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides. The exterior surface area of the trough is ________. The volume of the trough is _____. If a trough is emptied until the water level is even with the midsegment of the trapezoidal ends there will be ______ cubic feet of water left in the trough.

Answers

Answer:

Part a) The exterior surface area is equal to [tex]160\ ft^{2}[/tex]

Part b) The volume is equal to [tex]240\ ft^{3}[/tex]

Part c) The volume water left in the trough will be [tex]84\ ft^{3}[/tex]

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

Find the area of two rectangles

[tex]A=2[12*5]=120\ ft^{2}[/tex]

Find the area of two trapezoids

[tex]A=2[\frac{1}{2}(8+2)h][/tex]

Applying Pythagoras theorem calculate the height h

[tex]h^{2}=5^{2}-3^{2}\\h^{2}=16\\h=4\ ft[/tex]

substitute the value of h to find the area

[tex]A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}[/tex]

The exterior surface area is equal to

[tex]120\ ft^{2}+40\ ft^{2}=160\ ft^{2}[/tex]

Part b) Find the volume

we know that

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=20\ ft^{2}\\ L=12\ ft[/tex]

substitute

[tex]V=20(12)=240\ ft^{3}[/tex]

Part c)

step 1

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

[tex]A=\frac{1}{2}(5+2)(2)=7\ ft^{2}[/tex]

step 2

Find the volume

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=7\ ft^{2}\\ L=12\ ft[/tex]

substitute

[tex]V=7(12)=84\ ft^{3}[/tex]

PLEASE HELP! I'll mark first comment as brainliest!

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.

a = 18, b = 26, c = ?

A. C=31.78
B. C=31.16
C. C=31.62
D. C=31.46

HELP ASAP!!!! showing work is optional :)

Answers

Answer:

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.

a = 18, b = 26, c = ?

A. C=31.78

B. C=31.16

C. C=31.62

D. C=31.46

Step-by-step explanation:

[tex]\sqrt{18^{2}+26^{2}  }[/tex]

Miwa borrows $1250 for 1 year. At the end of the year, she pays $112.50 in interest. Find the rate of interest she was charged.

Answers

Answer: 10%

Step-by-step explanation: The formula to calculate simple interest is Interest = Principal x Rate x Time

With the number in the formula, 112.50 = 1,250 x r x 1

Simplify:

112.50 = 1,250r

Divide both sides by 1,250:

.1 = r

Therefore, the rate is 10%

Which method is the most effective method to use to solve x^2+4x+3=0

Answers

Answer:

Completing the square.

Step-by-step explanation:

since there is no "a" term and the bx term is even, completing the square is your best bet.

For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.

These numbers are:

3 and 1.[tex]3 + 1 = 4\\\\3 * 1 = 3[/tex]

So, we have to:

[tex]x ^2 + 4x + 3 =\\(x + 3) (x+1)[/tex]

Answer:

[tex](x + 3) (x + 1)[/tex]

The model represents an equation. What value of x makes the equation true?

Answers

when all goes wrong...choose c my friend.

Alfred and his 4 friends bought 13 1/4 pounds of gummy bears at $1.20 a pound. If the cost of the gummy bears is divided evenly among Alfred and his four friends, how much will each person pay?​

Answers

Total cost

13 1/4 × $1.20

=53/4 × $1.20

=$15.90

Alfred + 4 friends = 5 person

So, each person must pay

$15.90÷5

=$3.18

Answer

$3.18

Using arithmetic simplification, the amount paid by each person since the cost is shared evenly is $3.18

The total cost of gummy bear :

13.25 pounds × $1.20 = $15.90

Number of people involved = Alfred + 4 friends = 5

Since the cost is shared evenly ; the amount paid per person can be calculated thus :

Total cost ÷ 5

Cost per person = $15.90 ÷ 5 = $3.18

Therefore, each person will pay a sum of $3.18

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write the equation of the line that is parallelto the graph of y=2/3x+7 and passes through the point (-1 -2)

Answers

Answer:

y+2 = 2/3(x+1)

y= 2/3x - 4/3

Step-by-step explanation:

If we want a line parallel to  y=2/3x+7, it will have the same slope

m = 2/3

We have a point (-1,-2), so we can use point slope form

y-y1 = m(x-x1)

y--2 = 2/3(x--1)

y+2 = 2/3(x+1)

If we want the line in slope intercept form, distribute the slope

y+2 = 2/3 x +2/3

Subtract 2 from each side

y+2-2=2/3x +2/3-2

y = 2/3x +2/3 - 6/3

y= 2/3x - 4/3

Whats the probability
You roll a number cube. You roll a number that is greater than 2 and less then 5

Answers

Answer: 2/6.

Step-by-step explanation:

This might be wrong but because there are only 6 sides on a number cube, and only two numbers between this probablity this is the most likely correct answer. I apologize if this is wrong.

If 12x-8=24 what is the value of x

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

12x - 8 = 24

Add 8 to both sides:

12x = 32

Divide both sides by 12 to isolate x:

x = 8/3

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

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Answer: x= 8/3

Step-by-step explanation:

first thing u do is add 8 to the 24 because the operation in front is - , that equals 32

since 12 is multiplied by x you divide 12 by 32 to get x by itself and that equals 8/3

Hope this helps mark me brainliest

What is the answer to this?

Answers

Answer:

Opt. D. AB=WX

Step-by-step explanation:

If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.

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