- Bradley is making fruit salad. For each
bowl of fruit salad, he needs cup of
grapes. How many cups of grapes will he
use if he makes 24 bowls of fruit salad?

<CAB= 56°

(DC= 78°

(DB= 78+56=134°

<DAB=134°

(BED=360-134= 226°

(BEC=226+78=304°

(CED= 360-78=282°

hey:) I hope this was correct and helpful

Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

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Answer:

well c would equal 3, but is this question missing something. none of the answers makes sense

Step-by-step explanation:

The pairs of angles that are vertical angles in the figure are R and T.

In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.

Looking at the given options:

R and T are vertical angles because they are formed by the intersection of lines.

P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.

Therefore, the pairs of angles that are vertical angles in the figure are:

R and T

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The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

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Answer:

8 3/7

Step-by-step explanation:

divide 60 by 7 and it goes 8 times with 3 leftover

The quotient of 714 and 17 determined using an area model will be 714 ÷ 17 = 42

It should be noted that a quotient simply means the result that is obtained when we divide a number by another number.

It should be noted that in this case, you have to divide the value and write the answer.

In this case, the quotient of 714 and 17 determined using an area model will be 7mg gotten by dividing the numbers. This will be:

= 714 ÷ 17. = 42

Therefore, the correct option is 42 when you divide 714 by 17. The appropriate box that shows this is C.

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How is the quotient of 714 and 17 determined using an area model?

Enter your answers in the boxes to complete the equations.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:10th place

Step-by-step explanation:

1)

The given vertices of the quadrilateral are

L(- 5, 1), M(- 2, - 2), N(- 1, - 3), O(2, - 2)

We would find the slope of the lines connecting the pairs of vertices. Recall, the opposite sides of a parallelogram are parallel. This means that they would have the same slope. The formula for calculating slope is expressed as

slope = (y2 - y1)/(x2 - x1)

Considering L(- 5, 1) and M(- 2, 2),

x1 = - 5, y1 = 1

x2 = - 2, y2 = 2

slope = (2 - 1)/(- 2 - - 5) = 1/(- 2 + 5) = 1/3

Slope of LM = 1/3

Considering N(- 1, - 3) and O(2, - 2)

x1 = - 1, y1 = - 3

x2 = 2, y2 = - 2

slope = (- 2 - - 3)/(2 - - 1) = (- 2 + 3)/(2 + 1) = 1/3

Slope of NO = 1/3

Since the slopes of the opposite sides are equal, it is a parallelogram

We would plot the coordinates of the vertices on a graph as shown below.

Answer:

x = 16°

Step-by-step explanation:

What we know:

∠JML = 47°

∠JKL = (7x + 21)°

∠JML is an inscribed angle

∠JKL is an inscribed angle

Inscribed angles are half of the value of their intercepted arc

So if m∠JML = 47° then mArc JL is double that or 94°

And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so

mArc JL + Arc JML = 360°

94 + Arc JML = 360

Subtract 94 from both sides to isolate Arc JML

Arc JML = 266°

So if Arc JML = 266° then it's intercepted inscribed angle is half of that.

Arc JML ÷ 2 = ∠JKL

266 ÷ 2 = ∠JKL

133 °= ∠JKL

Now we can use this value and set it equal to the expression to find the value of x

(7x + 21) = 133

Subtract 21 from both sides to isolate the x

7x = 112

Divide both sides by 7

x = 16

Answer:I believe the answer is C

Step-by-step explanation:

The y-intercept is 2

For an airplane has an airspeed of 530 kilometers per hour bearing N45 degrees E,  the ground speed of the plane and its direction is mathematically given as

Generally, the equation for the velocity of the plane is mathematically given as

\(Vp=Fcos\thetai+Fsin\theta j\)

Therefore

Vp=530cos45i+530sin45j

Vp= 374.76i+374.76j

For wind speed

Vm=80cos(90+30)i+80sin(90+30)j

Vm=-40i+69.28j

Hence, there resultant is

Vr=Vm +Vp

Vr=374.76i+374.76j + 40i+69.28j

Vr=334.77i+1444.05j

In conclusion, the Ground speed is

\(Vg=\sqrt{334.77^2+1444.05^2}\)

Vg=556.10km/hr

Direction

\(Tan \theta=\frac{444.05}{334.77}\)

\(\theta=52.99East\)

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Step-by-step explanation:

As Isosceles triangel has for sure 2 equal angles

and the sum of angles in any triangle is 180

so you have only thes 2 conditions either :

2(x^2+4)+22x+12=180 or 2(22x+12)+(x^2+4)=180

2x^2+8 +22x+12-180=0 or 44x+24+x^2 +4 - 180=0

2x^2+22x-160=0. or x^2+44x-152=0

x1=5 x2=-16. or x3=3.22 x4=-47.22

Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

a triangle that may not have the same dimensions as the bases

Step-by-step explanation:

The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.

Answer:

0.42352941176

Step-by-step explanation:

hope this helps

The value of quotient will be 0.42.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

''4/5 divided by 17/9''

Now,

Since, The expression is,

''4/5 divided by 17/9''

Hence, After solving we get;

⇒ 4/5 ÷ 17/9

⇒ 4/5 × 9/17

⇒ 36/85

⇒ 0.42

Thus, The value of quotient = 0.42

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Out of the 225 people surveyed, 135 said they shop online, 27 said they always get their order delivered, and 54 said they had loyalty cards.

To calculate the number of people who said they shop online, we can use the percentage given. If 60% of the 225 people surveyed said they prefer to shop online, we can find the number by multiplying the total number of people surveyed by the percentage:

Number of people who shop online = 225 * 0.60

Number of people who shop online = 135

Therefore, 135 people said they shop online.

To find the number of people who have shopping delivered, we need to calculate 20% of the number of people who shop online:

Number of people with shopping delivered = 135 * 0.20

Number of people with shopping delivered = 27

Hence, 27 people said they always get their order delivered.

Now let's calculate the number of people who had loyalty cards. First, we need to find the number of people who said they go in-store to shop. This is 40% of the total surveyed:

Number of people who go in-store to shop = 225 * 0.40

Number of people who go in-store to shop = 90

Out of these 90 people, only 60% said they had loyalty cards:

Number of people with loyalty cards = 90 * 0.60

Number of people with loyalty cards = 54

Therefore, 54 people said they had loyalty cards.

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The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

Samajh nahi rha hai

Step-by-step explanation:

clear pic lo aur dalo

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Given:

The length of the two sides of the right triangle is 20 units and 15 units.

Use the Pythagorean theorem to find the third side of the triangle,

Answer: The length of the third side is 25 units.

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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The amount is an illustration of compound interest and the future amount is $283.81

The given parameters are:

The function of the future amount is given as:

\(A = Pe^{rt}\)

So, we have:

\(A = 200 * e^{5\% * 7}\)

Evaluate

A = 283.81

Hence, the future amount is $283.81

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Answer:

i think it's going to be add 23 to both sides

Answer:

the graph will start at y1 and go down 1 and right 2 for every point.

Step-by-step explanation: since the x is negative you know that the graph is going to be negative so from left to right it will be going from top to bottom. next you look at the 1/2 which just states that every point on that line will will be 1 down and two right from the previous point. now you look at the +1 which just says that the graph will cross the y axis a 1.