HELP WITH MY MATHS HOMEWORK, ITS A YEAR 7 QUESTION

Answer:

n+2n = 150

n = 50

Step-by-step explanation:

n = smaller angle

The other angle is 2n

Add them together to get 150

n+2n = 150

Combine like terms

3n = 150

Divide by 3

3n/3 =150.3

n = 50

Answer:

B = 73°, c = 107°, d= 107°

Step-by-step explanation:

[tex]b + 107 \degree = 180 \degree..(straight \: line \: \angle s) \\ b = 180 \degree - 107 \degree \\ \huge \red{ \boxed{b = 73 \degree}} \\ \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \: \angle s) \\ \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \: \angle s) \\ \\ [/tex]

Answer:

The volume of the finished cylinder is [tex]4486.2 m^3[/tex]

Step-by-step explanation:

To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).

Note: The hole is also cylindrical in shape.

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius, h = height

VOLUME OF THE HOLE

The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)

Its volume is:

[tex]V = \pi *7^2 * 28\\V = 4310.3 m^3[/tex]

VOLUME OF THE ORIGINAL CYLINDER

The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)

Its volume is:

[tex]V = \pi *10^2 * 28\\V = 8796.5 m^3[/tex]

Hence, the volume of the finished cylinder will be:

[tex]8796.5 - 4310.3 = 4486.2 m^3[/tex]

The volume of the finished cylinder is [tex]4486.2 m^3[/tex]

Answer:

65

Step-by-step explanation:

The mean is 65 because

Answer:

2(29x5−127)

Step-by-step explanation:

Factor 58x5−254

58x5−254

=2(29x5−127)

Answer:

36

Step-by-step explanation:

going by BODMAS,

multiplication is first, 58 * 5 = 290

now, subtraction, 290 -254 = 36

Answer:

$5.04

Step-by-step explanation:

Take the cost of one candle and multiply the number of candles desired

6 *.84 =5.04

Answer: $5.04

Step-by-step explanation:

If one candle costs 0.84, and you need 6 then you multiply 0.84 x 6=5.04.

Area of a circle = PI x R^2

r = 1/2 diameter

r = 21.5/2

r = 10.75

Area of circle = 3.14 x 10.75^2 = 3.14 x 115.5625 = 362.86625 square units.

A semicircle is half a circle:

Area of semicircle = 362.86625 / 2 = 181.433125 square units (round the answer as needed).

Answer:

  215

Step-by-step explanation:

We assume that the "starting point" is the starting point for the entire trip, including bus travel.

If B is distance traveled by Bus, and "b" is distance traveled by bike, then we seem to have ...

  B + b = 350

  b -B = 80

Adding these two equations gives ...

  2b = 430

  b = 215

They traveled 215 km by bike.

Answer:

The total amount Warren paid for these two items is $13.03

Step-by-step explanation:

Warren paid:

75¢ less than $12.30 is $12.30 - $0.75 = $11.55 on the calculator.

$1.48 for the pad of paid.

What is the total amount Warren paid for these two items?

$11.55 + $1.48 = $13.03

The total amount Warren paid for these two items is $13.03

Answer:

A D E

Step-by-step explanation:

A. In the second problem, the first fraction is less than the second fraction.

D. If you subtract a lesser number from a greater number, the answer is positive.

E. If you subtract a greater number from a lesser number, the answer is negative.

The correct options are given below:-

A. In the second problem, the first fraction is less than the second fraction.

D. If you subtract a lesser number from a greater number, the answer is positive.

E. If you subtract a greater number from a lesser number, the answer is negative.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expressions are as follows:-

(6/ 8 − 5/8 = 1 8 ) and (6/ 9 − 7 / 9 = −1 / 9 )

In the second problem, the first fraction is less than the second fraction. If you subtract a lesser number from a greater number, the answer is positive. If you subtract a greater number from a lesser number, the answer is negative. All the statements are correct for the given expressions.

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Answer:

410

Step-by-step explanation:

20 x 20 = 400 + 10 = 410

Have a great day :)

Answer:

410

Step-by-step explanation:

20 x 20 = 400

400+ 10 = 410

Answer:

Melissa spent $1.90

Step-by-step explanation:

Each quarter is 25 cents. If you have 5 quarters, that would be 25 times 5. And each nickel is 5 cents, so if you have 13 nickels, then you would multiply 5 by 13. Then to get the total amount spent you would have to add the quarters and nickels. which would be 125 and 65. Every 100 is a dollar. so it would be 190, or $1.90.

Answer:

1.90

Step-by-step explanation:

Answer:

she use 216 ft of wrapping paper i think

Answer:

6750

Step-by-step explanation:

Answer: 25%

Step-by-step explanation:

184-138= 46

184*.25=46

Answer:

b on edge

Step-by-step explanation:

The distance between the origin and point A is √13.

We know that the distance between two points (a, b) and (c, d) is:

[tex]D = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

Here we want to find the distance between the origin, (0, 0), and the point A, which has coordinates (-3, -2).

Using the above formula we will get:

[tex]D = \sqrt{(-2 - 0)^2 + (-3 - 0)^2} = \sqrt{4 + 9} = \sqrt{13}[/tex]

The distance between the origin and point A is √13.

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Answer:

I think it's 640 i may be wrong or its 40.

Step-by-step explanation:

when finding the perimeter you just add up the outsides of the shape.

Answer:

90.24 mm

Step-by-step explanation:

Perimeter of the figure

[tex] =(20 + 20 ) + \frac{1}{2} \times 2\pi \: r \\ = (40 ) + 3.14 \times 16 \\ = 40 + 50.24 \\ = 90.24 \: mm[/tex]

Answer:

Their were 42 kids on each bus.

Step-by-step explanation:

You have to divide the number of kids(210) by the number of buses.

Answer:

42

Step-by-step explanation:

if you take the total of kids and subtract the 8 that went into the cars the you do 210 divided by the total of buses and you get 42

Answer:

3,175 milliliters

Step-by-step explanation:

There are 1,000 milliliters in a liter, therefore you must use the equation

3.175(1,000), which gives you 3,175 milliliters of water

Answer:

I think 3,175 milliliters in volume if that's what u are looking for

Step-by-step explanation: I converted 3.175 liters to milliliters.

Answer:

8+ (27/9)2 = 17

To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down. In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.

To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down.

In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.

Answer: 60.20

Answer: A if you want exact not rounded

Step-by-step explanation: 27/50 = .54

49/90 = .544444444444444444444444444444.....repeating

6/11 = .5454545454545454545454545454545...... repeating

5/4= 1.25 which is wrong

Answer:

0.31

0.36

A

Step-by-step explanation:

Answer:

0.31 and 0.36 (A) is the answer

Alpa must take out five T-shirts in order to be absolutely sure of having at least two T-shirts that differ only by size or by color.

The subject of this question is a probability problem, which falls under the domain of Mathematics, more specifically combinatorics. In scenarios such as this, we want to ensure we have at least two T-shirts that only differ by size or color. To guarantee this, Alpa must select one T-shirt of each color and size first. That means she must take out four T-shirts: a red small, a red large, a black small, and a black large. For the fifth T-shirt that she takes out, it will either be the same color as one she already has but different in size or it will be the same size as one she already has but a different color. So, the least number of T-shirts Alpa must take out of the bag in order to be absolutely sure of having at least two T-shirts among them that differ only by size or color is five.

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If 4 cakes make 32 slices, one cake will make [tex]\frac{32}{4}[/tex] = 8 slices. Therefore, 5 cakes will make (8 x 5) = 40 slices.

Answer:

You can get 40 slices from 5 cakes because each cake has 8 slices in it.

Step-by-step explanation:

Answer:

$9,133.92

Step-by-step explanation:

V = P*e^(rt)

V = $5540 * e ^ (0.025*20)

V = 5540 * e^(0.5)

V = 5540 * 1.648721

V = $9,133.9158

about $9,133.92

Final answer:

The amount of money in the account after 20 years with continuous compounding at an annual rate of 2.5% is approximately $9138.13.

Explanation:

To calculate the amount of money in an investment account after 20 years with continuous compounding, we use the formula V = Pe^rt, where:

P is the principal amount ($5540),

e is the base of the natural logarithms (approximately 2.71828),

r is the annual interest rate (2.5% or 0.025 as a decimal), and

t is the number of years the money is invested (20 years).

Plugging these values into the formula, we get:

V = $5540 × e^(0.025 × 20)

Using a calculator with the capability to compute e raised to a power, we find:

V ≈ $5540 × 2.71828^0.5

V ≈ $5540 × 1.64872

V ≈ $9138.13

Hence, the value of the investment after 20 years, to the nearest cent, is approximately $9138.13.

A geometric sequence follows an exponential pattern, where each term is found by multiplying the previous term by a constant called the common ratio. Therefore, the answer is A. An Exponential Pattern.

A geometric sequence follows an exponential pattern. This means that each term in the sequence is found by multiplying the previous term by a constant called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. Here, each term is obtained by multiplying the previous term by 3.

To clarify, when we say a sequence follows an exponential pattern, it means the terms grow at a rate that involves doubling, tripling, or multiplying by any fixed number, rather than adding or subtracting a fixed amount as in linear patterns or changing according to a square as in quadratic patterns. This type of pattern can be represented by the formula:

a, ar, ar², ar³,...

where a is the first term and r is the common ratio. Understanding that geometric sequences follow an exponential growth pattern helps in solving various mathematical problems related to population growth, finance, and more.

Answer:

3.2

Step-by-step explanation:

First, you have to arrange them in proper numerical order (least to greatest).

84, 88,90,92,96

Next, find the mean by adding them all up and dividing them by 5.

84 + 88 + 90 + 92 + 96 = 450

450 divide by 5 equals 90.

Now, that we have our mean, we have to subtract it from each of the numbers in the data set. Remember this is absolute so there is no negatives.

84 - 90 = 6

88 - 90 = 2

90 - 90 = 0

92 - 90 =2

96 - 90 = 6

Next, line them up again.

2,2,6,6

Find the mean of them:

2 + 2 + 6 + 6 = 16

16 divided by 4 is 4.

Therefore, our answer would be the MAD is 4.0

Answer:

$36

Step-by-step explanation:

1.5 × 24 = 36

Hope this helps!

-MoCKEry