Mathematics Middle School

Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
Eli is 9 years old,Feda is 13 years old and Geoff is 18 years old.
How much should they each get?
Eli-
Freda-
Geoff-

Answers

Answer 1
First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of Geoff:
[tex]9+13+18=40[/tex]
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.

Next, we are going to multiply the ratio between the age of the person and their combined age by £800:
For Eli: [tex] \frac{9}{40} *800=180[/tex]
For Freda: [tex] \frac{13}{40} *800=260[/tex]
For Geoff: [tex]\frac{18}{40} *800=360[/tex]

We can conclude that Eli will get £180, Freda will get £260, and Geoff will get £360.
Answer 2

Final answer:

Calculate how £800 should be divided among Eli, Freda, and Geoff based on their ages.

Explanation:

Ratio of ages: 9:13:18 = 9/40 : 13/40 : 18/40

Total amount: £800

Eli: £200

Freda: £290

Geoff: £410

Related Questions

#22 #24 and #26 HELP

Answers

#22)
4(t - 8) + 20 = 5
Distribute the 4.

4t - 32 + 20 = 5
Combine like terms.

4t - 12 = 5
Add 12 to both sides.

4t = 17
Divide both sides by 4.

t = 4.25


#24)
17 = -5(3 + w) + 7
Distribute the -5.

17 = -15 - 5w + 7
Combine like terms.

17 = -8 - 5w
Add 8 to both sides.

25 = -5w
Divide both sides by -5.

w = -5


#26)
9 = -(r - 5) + 11
Distribute the -.

9 = -r + 5 + 11
Combine like terms.

9 = -r + 16
Subtract 16 from both sides.

-7 = -r
r = 7

What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.

answer chices are not there i need to type it in

Answers

each grid line is 2 units

A is located on X = -10, B is located on X = 2
 the distance between A and B  = 12 units

A is located on Y = 2, D is located on Y = -6
the distance between A and D = 8 units

 the dimension of the rectangle is 12 by 8




The correct answer to this question is the fact the rectangle is 12 by 8!

A bicycle rider increases his speed from 5 m/s to 15 m/s in 10 seconds

Answers

To find the acceleration of the bicycle rider, we are going to use the acceleration formula: [tex]a= \frac{v_{f}-v_{i}}{t} [/tex]
where
[tex]a[/tex] is the acceleration 
[tex]v_{i}[/tex] is the initial speed 
[tex]v_{f}[/tex] is the final speed 
[tex]t[/tex] is the time 

We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore, [tex]v_{i}=5[/tex], [tex]v_{f}=15[/tex], and[tex]t=10[/tex]. Lets replace those values in our formula:
[tex]a= \frac{v_{f}-v_{i}}{t} [/tex]
[tex]a= \frac{15-5}{10} [/tex]
[tex]a= \frac{10}{10} [/tex]
[tex]a=1[/tex]

We can conclude that the acceleration of the bicycle rider 1 m/s^2

Find the unknown. 531 = ( × 6) + 21

Answers

The answer would be x = 85
X=85 is your
answer.

Is my answer correct or incorrect? Explain please. Thank you

Answers

yes because 3 * 2 * 4 = 24
3 sandwich choices
2 side item choices
4 beverage choices

Let's say the sandwich choices were PB&J, Ham, and Turkey
Let's say the sides were fries and mandarin oranges
Let's say the beverages were water, orange juice, milk, soda

PB&J
Ham
Turkey

                                        Fries
                                        Mandarin Oranges

Water
OJ
Milk
Soda

The combinations can be as follows:

PB&J, Fries, Water
PB&J, Fries, OJ
PB&J, Fries, Milk
PB&J, Fries, Soda
PB&J, Mandarin Oranges, Water
PB&J, Mandarin Oranges, OJ
PB&J, Mandarin Oranges, Milk
PB&J, Mandarin Oranges, Soda
Ham, Fries, Water
Ham, Fries, OJ
Ham, Fries, Milk
Ham, Fries, Soda
Ham, Mandarin Oranges, Water
Ham, Mandarin Oranges, OJ
Ham, Mandarin Oranges, Milk
Ham, Mandarin Oranges, Soda
Turkey, Fries, Water
Turkey, Fries, OJ
Turkey, Fries, Milk
Turkey, Fries, Soda
Turkey, Mandarin Oranges, Water
Turkey, Mandarin Oranges, OJ
Turkey, Mandarin Oranges, Milk
Turkey, Mandarin Oranges, Soda

So your answer is correct: There's 24 lunch combinations that can be made.

Hope that helps!

HELP!!!!!!!!!!!!!!!!

Answers

Part A: Draw 5 (1 whole blocks). Then, under that draw 1/4's until you reach the end of the 1 wholes.

PartB: Sally needs 5 cups of sugar. If this is 14 of the number she needs to make cake, how many cups does she need?

PartC: Turn 5 into 5/1 keep 5/1 change the sign to multiplication, then flip 1/4 so it is 4/1. 

ow do I put circumference, diameter, and pi into a formula

Answers

Just use the formula to find circumference!

C = ᴨd 

Pleaseee help

If you multiplied a number by 1/2, the result would be

1. Less than 1
2. Half of the original number
3. A fourth of the original number
4. Twice as large as the original number

Answers

a fourth of the original number
The answer is 2. You get half the original answer.

Help I can’t find the area

Answers

We have
two rectangles 71cm x 23cm
two rectangles 71cm x 28cm
two rectangles 23cm x 28cm

The surface area of this figure:

[tex]A_S=2\cdot71\cdot23+2\cdot71\cdot28+2\cdot23\cdot28\\\\=3,266+3,976+1,288=8,530\ cm^2[/tex]

Answer: A. 8,530 cm².

James filled 4 glasses with milk. Patrick filled 6 glasses with milk. Each glass held 8 ounces of milk. Which method explains a way to calculate the difference in the amount of milk each boy poured? A. Step 1 Multiply: 4 × 8. Step 2 Multiply: 6 × 8. Step 3 Add the products. B. Step 1 Divide: 8 ÷ 4. Step 2 Divide: 8 ÷ 6. Step 3 Add the quotients. C. Step 1 Multiply: 4 × 8. Step 2 Multiply: 6 × 8. Step 3 Subtract the products. D. Step 1 Divide: 8 ÷ 4. Step 2 Divide: 8 ÷ 6. Step 3 Subtract the quotients.

Answers

STEP 1:
multiply 4 glasses by 8oz

= 4 * 8
= 32 total ounces in 4 glasses


STEP 2:
multiply 6 glasses by 8oz

= 6 * 8
= 48 total ounces in 6 glasses


STEP 3:
subtract the difference of steps 1 & 2

= 48 ounces - 32 ounces
= 16 ounces difference


ANSWER: (C) Step 1 multiply: 4 × 8. Step 2 multiply: 6 × 8. Step 3 subtract the products

Hope this helps! :)

x^2-6x=-1 If the quadratic equation has real solutions, what are the solutions? Explain. Estimate irrational solutions to the nearest tenth.

Answers

x^2 -6x +1 = 0
a=1
b = -6
c = 1

Use the quadratic formula
x = [-b  +- sq root (b^2 -4ac)] / 2a
x = [--6 +- sq root (36 - 4)] / 2
x = [ 6 +- sq root (32)] / 2
sq root (32) = 5.657

x1 = [ 6 + 5.657] / 2
x1 = 11.657 / 2
x1 = 5.8285
x1 = 5.82 (to nearest tenth)

x2 = [ 6 - 5.657] / 2
x2 = .343 / 2
x2 = .1715
x2 = .2 (to nearest tenth)


what number when increased by 75% of itself will equal to 80?

Answers

[tex] p\%=\dfrac{p}{100}\to 75\%=\dfrac{75}{100}=0.75\\\\n-the\ number\\\\the\ equation:\\\\n+0.75n=80\\\\1.75n=80\ \ \ \ |:1.75\\\\n=\dfrac{80\cdot100}{1.75\cdot100}\\\\n=\dfrac{8000}{175}\\\\n=\dfrac{8000:25}{175:25}\\\\n=\dfrac{320}{7}\\\\n=45\dfrac{5}{7} [/tex]

lliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?

Answers

Okay. Let us do it surgically. Let us solve first the rate of increase in Lliana's Math grade. 86-65 = 21, thus the rate can be written as a fraction 21/65. We will reserve the decimal form once we are done with both rates of increase.

On the same note, Fiona's increase in Math grade is determined by subtracting 70 from her recent grade of 80, thus giving us an increase in her grade by 10. Therefore, the rate of increase in her Math grade is 10/70.

Now, let us take the decimal forms of the students' grade in math respectively. Lliana's is 21/65 or 0.32307692307... Fiona's is 10/70 or 0.14285714285. Now, subtracting this decimals we have 0.18021978021.
Changing it to percent form, we must multiply it by 100 and add the symbol "%". Therefore, we have 18.021978021 %.

Finally, rounding the value to the nearest whole number, we obtained 18.00% or just 18%.

Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

The linear function that represents this graph is given by:

y = 300 - 0.6667x.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the graph, when x = 0, y = 300, hence the y-intercept is of b = 300. The amount decays to 0 when the x-intercept is of x = 450, hence the slope is given by:

m = -300/450 = -0.6667.

Which means that the equation is:

y = 300 - 0.6667x.

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A car is traveling at a speed of 75 km/h. Identify the correct conversion factor setup required to compute the speed of the car in m/s.
A)
75km
1hr
x
1000m
1km
x
1hr
60min
x
60s
1min
B)
75km
1hr
x
1000m
1km
x
1hr
60min
x
1min
60s
C)
75km
1hr
x
1000m
75km
x
1hr
60min
x
1min
60s
D)
75km
1hr
x
1000m
75km
x
1hr
60min
x
60s
1min

Answers

i think the answer is B

Therefore, the speed of the car in m/s is [tex]\frac{75000}{3600}[/tex] m/s i.e., option (B) is correct.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

A car is traveling at a speed of [tex]75[/tex] km/h.

As we know,

[tex]1km=1000m[/tex]

[tex]1h=60s[/tex]

So,

[tex]75[/tex] km/h=[tex]\frac{75(1000)}{3600}[/tex] m/s

[tex]=\frac{75000}{3600}\\\\[/tex]

Hence, the speed of the car in m/s is [tex]\frac{75000}{3600}[/tex] m/s i.e., option (B) is correct.

To know more about the equation

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Mrs.Nellon’s class sold 18 rolls of wrapping paper.In all, the school sold 82 rolls. About what percent of the sales came from Mrs.Nellon’s class?

Answers

21.9% of the rolls were sold by Mrs.Nellons class. 
The answer is
21.9512195121951%

The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes. What was Alex's average speed?

Answers

his average speed was 50 m/min

which of the following represents the formula that could be used to find the height of the cone

Answers

If you know the volume then:
(3 * Cone Volume) / (PI * radius^2) = height

 

Geometry Circle - Find the Midsing Angle

Answers

The arc would be 86 degrees not sure about the angle sorry

It took 25.5 bottles to fill a cooler and each bottle contained 1.8 liters. How many liters are in the cooler

Answers

There are 45.9 liters in the cooler. 25.5 * 1.8 is 45.9.
There are 45.9 liters in the cooler 25.5*1.8

On which of the following lines does the point (7, 1) lie?

A.) y= 5x + 4
B.) y= -x + 8
C.) y= x- 10
D.) y= -4x + 3

Answers

For this case what we should do is evaluate the corresponding linear function with the following values:
 [tex]x = 7 y = 1[/tex]
 We must verify that equality is met.
 For the following function we have:
 [tex]y = -x + 8 [/tex]
 Substituting values:
 [tex]1 = -7 + 8 [/tex]
 Rewriting:
 [tex]1 = 1 [/tex]
 Therefore, the point (7,1) is on the line.
 Answer:
 B.) y = -x + 8

Find the mean and median of these data: 2,5,9,11,17,19

Answers

Mean = add up all the numbers and divide the sum by the number of numbers you added up.

Median = arrange the data from least to greatest and find the number in the middle. 

2, 5, 9, 11, 17, 19

Mean:
2 + 5 + 9 + 11 + 17 + 19 = 63
63 ÷ 6 = 10.5
The mean of the data is 10.5.

Median:
2, 5, 9, 11, 17, 19
The middle numbers are 9 and 11.
Find the mean between them, which is 10. 
The median of the data is 10.

What is the solution of the equation

Answers

2(2x - 5) = 3x + x - 2x
Distribute the 2.

4x - 10 = 3x + x - 2x
Combine like terms.

4x - 10 = 2x
Subtract 4x from both sides.

-10 = -2x
Divide by -2.

5 = x
x = 5
I'm pretty sure it's x=5
Hope this helps!

The triangle shown must be a right triangle if x= in

A) 8
B) 12
C) 16
D) 144

Answers

Here is how you do it!

a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
b = 12

The square root of 144 is 12, so your answer is B) 12

Hope this helps!

Answer:

The value of x is 12 in

Step-by-step explanation:

Given the right angled triangle having sides 5 in , 13 in and x in

We have to find the value of x.

By applying Pythagoras theorem, we get

[tex]Hypotenuse^{2} = Base^{2} + Perpendicular^{2}[/tex]

⇒ [tex]13^{2}=x^{2}+5^{2}[/tex]

⇒  [tex]169=25+x^{2}[/tex]

⇒  [tex]x^{2} = 144[/tex] ⇒ x=12 in

Hence, length of base is x in i.e 12 in

The formula for glue says to add 55 mL of hardener to each container of resin. How much hardener should be added to 16 containers of resin? Write your answer in liters.

Answers

Final answer:

To determine how much hardener is required for 16 containers of resin, multiply 55 mL by 16 to get 880 mL, and then convert this to liters by dividing by 1,000, resulting in 0.88 liters of hardener needed.

Explanation:

To determine how much hardener should be added to 16 containers of resin, we must multiply the amount needed for one container by the number of containers. The formula given states that 55 mL of hardener is required for each container of resin. To find the total amount for 16 containers, we perform the following multiplication:

Calculate the total milliliters needed: 55 mL/container × 16 containers = 880 mL.Convert the total milliliters to liters:
Since 1 liter is equivalent to 1,000 milliliters, divide the total milliliters by 1,000 to get the volume in liters. 880 mL ÷ 1,000 = 0.88 L.

Therefore, 0.88 liters of hardener should be added to 16 containers of resin.

Final answer:

To determine the amount of hardener needed for 16 containers of resin, multiply 55 mL by 16 to get 880 mL and then convert that to liters, resulting in 0.88 liters of hardener.

Explanation:

To find out how much hardener should be added to 16 containers of resin, where each container requires 55 mL of hardener, you need to do a simple multiplication operation. Multiply the amount of hardener needed for one container by the number of containers:

Multiply 55 mL by 16:Now, convert milliliters to liters. Since there are 1,000 milliliters in a liter:

Therefore, you should add 0.88 liters of hardener to the 16 containers of resin.

anyone know how to solve by giving me not only an explanation in words but can show me the equation, to solve the problem below? thanks

3(x+7)=6(x+2)

Answers

Distribute : 3x + 21 = 6x + 12

Simplify : 9 = 3x

Divide : x = 3

x = 3
So, to solve this problem you have to distribute on both sides. this would bring the equation to 3x+21=6x+12. You then can subtract 3x from both sides to bring the equation to 21=3x+12. Then, subtract 12 from both sides. The equation is now 9=3x. To isolate x, divide both sides by 3. This leaves you with x=3, so the solution to 3(x+7)=6(x+2) is x=3, or (3,0)
I hope this helps!
-Raiden

Evaluate the expression. If necessary, round to the nearest hundredth.

log 2.8

Answers

the answer is 0.447158 and rounded it is 0.45
I got .45, I'm not sure if this is right but I hope it helps!

What is the area of the figure?

Answers

Area of a parallelogram is just base * height. 

12 and 1/2 becomes 25/2

17 and 1/5 becomes 85/5

Now we multiply. 

[tex] \frac{25}{2} ( \frac{86}{5} ) = \frac{2150}{10} = 215 [/tex]

Your area is 215 yd²
Area of parallelogram = base x height

Area = 12 1/2 x 17 1/5 = 25/2 x 86/5 = 215 yd²

Answer:  215 yd²

Simplify the expression. (2x^2y)^3

Answers

Answer:

8x6y3 3 and six put at top between y and and three

Sure, I'd be happy to show you how to simplify this expression. Here are the steps:

1. In this expression, we have three numbers that are being multiplied together, 2, x^2, and y, and the entire product is raised to the power of 3.

2. Let's take each part of the product individually and raise them to the power of 3.

  For the first part, 2 raised to the power of 3: this gives us 8, since 2 * 2 * 2 equals 8.

3. The next part is [tex]x^2[/tex] raised to the power of 3. When raising a power to another power, we multiply the powers together. Therefore, (x^2)^3 becomes x^(2*3), which can be simplified to x^6.

4. Finally, y raised to the power of 3 remains as y^3.

5. So, when we put together all three parts, we obtain the simplified expression, and (2x^2y)^3 simplifies to 8x^6y^3.

So, the simplified expression for (2x^2y) ^3 is 8x^6y^3.

To know more about expression:

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Can someone please explain number 11?

Answers

here is your answer
Have a good day
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