Verify a - (- b) = a + b for the following values of a and b.
() a = 23, b = 14
(ii) a = 128, b = 105
​

Answer: 80

Step-by-step explanation: Supplements mean they add up to 180. is m of 3 is 100, then m of 4 must be 80 to add up to 180. Hope this helps!

Answer:

S = £1.28

Step-by-step explanation:

Let the small, medium and large cakes be S, M and L respectively.

Given the following data;

Total profits = £532.48

Total number of cake = 192 cakes

Ratio of S:M:L = 7:6:11

Sum of ratio = 7+6+11 = 24

To find number of each cakes, we would divide the total number of cakes by the sum of ratio;

Number of each cakes = 192/24

Number of each cakes = 8

Next, we determine the exact number of each type of cakes.

Small = 7*8 = 56 cakes.

Medium = 6*8 = 48 cakes.

Large = 11*8 = 88 cakes.

For the profits;

Translating the word problem into an algebraic expression, we have;

M = 2S

L = 3S

56S + 48*(2S) + 88*(3S) = £532.48

56S + 96S + 264S = 532.48

416S = 532.48

S = 532.48/416

S = £1.28

Therefore, the profit for one small cake is £1.28

Answer:

It can't be simplified or added together because one is multiplied by x and the other is not

Step-by-step explanation:

Step-by-step explanation:

C you are gonna have 3,120.00 pesos

Answer:

You need to attach the picture of the angles

Answer:

right

Step-by-step explanation: because ones left and 1 right

The frequency data table is missing, so i have attached it.

Answer:

0.5

Step-by-step explanation:

We want to find conditional relative frequency and conditional relative frequency is used to compare the frequency count to the marginal total that represents the particular condition we are dealing with.

In this case, the condition is the popular vote of the state being won by the Democrat in 2012, given that the same popular vote was won by the Democrat in 1976.

In the frequency data table attached, we see that the joint frequency count for Democrat winning in 1976 and 2012 is given as 12.

While the corresponding marginal frequency total is given as 24.

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976:

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976 is 0.5.

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Answer:

Initial Deposit= $800

Annual rate= .1%

Leaves= 8 years

8 x .1= .8

$800 x .8= $640

$800+$640= $1,440

So your answer is $1,440 is the bank balance in 8 years

Step-by-step explanation:

hope i help have a great day

Answer:

49,410,000

Step-by-step explanation:

because calculator

Answer:

Factors are (x-9)(x+4)

Step-by-step explanation:

Answer:

x+y+z=15

x+2y+5z=15

-x+y+z=1

Step-by-step explanation:

Answer:

The answer is

x + y + z = 15

x + 2y + 5z = 35

-x + y + z = 1

Step-by-step explanation:

Answer:

IH < IG < HG

Step-by-step explanation:

To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.

First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.

Answer:

209

Step-by-step explanation:

subtract

Answer:

209

Step-by-step explanation:

subtraction bro

Answer

40.1

Area of a triangle using sine rule = 1/2 a b sinC

a and b are the two known sides, sinC is the angle opposite the unknown side

1/2 x 14 x 7 sin(125) = 40.1 to the nearest tenth

Hope this helps

Answer:

40.1

Step-by-step explanation:

People started getting stimulus checks during the time when c0vid-19 was a major issue because most places where people would work were closed, so people were getting money through stimulus checks because they were basically unemployed. This money went back into the economy to buy mostly essentials and health products, so therefore it helped businesses that sold these kinds of things.

Answer:

D

Step-by-step explanation:

Hello There!

In order for a relationship to be proportional it must follow these requirements:

Knowing this let us now look at each relationship

The first one indeed has a constant rate of change

However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship

For B:

B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin

The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)

in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional

For C:

Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship

For D:

Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)

The relation fulfills each requirement therefore D is your answer

Answer:

12.5%

Step-by-step explanation:

percent change is calculated as

[tex]\frac{change}{original\\}[/tex]    x 100

change = 32 − 28 = 4 pages

[tex]\frac{4}{32}[/tex] x 100% = [tex]\frac{100}{8}[/tex] % = 12.5 %

Hope it helps

Answer:

a. 28π m²

b. 44π m²

Step-by-step explanation:

a. Lateral surface of the cone = πrl

Where,

r = 4 m

l = 7 m

Lateral surface area = π*4*7 = 28π m²

b. Surface area of cone = πr(l + r)

r = 4 m

l = 7 m

Surface area = π*4(7 + 4)

= 4π(11)

= 44π m²

Answer:

5y+6

Step-by-step explanation:

-3 and 9 are like terms which can be simplified to 6.

Answer:

5y+6

Step-by-step explanation:

-3+5y+9

=-3+9+5y

=6+5y

=5y+6

Answer:

576.4 in²

Step-by-step explanation:

Surface area of square pyramid = Base Area + ½(perimeter of base)(slant height)

Base area = s² = 11² = 121 in.²

Perimeter of base = 4(11) = 44 in.

Slant height = 20.7 in.

Plug in the values

Surface area = 121 + ½(44)(20.7)

= 576.4 in²

Answer:

D. Point S

Step-by-step explanation

The opposite of -5.5 is 5.5, therefore since Point S is at 5.5 on the number line, the answer is D.

When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.

This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.

As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.

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Answer: C

Step-by-step explanation:

Answer:

B = 145°

Explanation:

Sorry but m∠C > 90° how could it be 35° ?

However if you still need an answer:

B = 180 - C

B = 180 - 35

B = 145°

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

Sine rule is used to show the relationship between the angles of a triangle and the sides opposite to the angles. It is given by:

a / sin(A) = b / sin(B) = c / sin (C)

where A, B, C are the angles and a, b, c are the sides opposite to the angles.

From the question:

let a = 8 in, A = 30°, b = 6 in, hence:

a / sin(A) = b / sin(B)

8 / sin(30) = 6 / sin(B)

B = 22°

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

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Answer:

1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Step-by-step explanation:

Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

1 = 0.75

1.5 = X

1.5 x 0.75 / 1 = X

1.125 = X

0.125 = 1/8

Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Answer:

119 is the 35th term

Answer: √21/√pi

Step-by-step explanation: Surface area of ball is 4(pi)r^2. Divide 84 by 4 and get 21. Dividing 21 by pi and taking the square root therefore is the answer.

Answer:

22,4000 answer i tinking

Answer:

If the goal is to break the vases: 3/20 = 15.0% or 0.15

If the goal is to not break the vases: 17/20 = 85.0% or 0.85