What is the measure of angle ABC

Answer:

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]

Step-by-step explanation:

Given

[tex]y=6; z=3[/tex]

Evaluate

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z[/tex]

Substitute [tex]y=6; z=3[/tex] in the expression.

So, we have:

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3}{2}*6 - 3 + \frac{5}{3} * 3[/tex]

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3*6}{2} - 3 + \frac{5* 3}{3}[/tex]

Evaluate the fractions

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = 3*3 - 3 + 5[/tex]

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]

Answer:

slope = 3/4

Step-by-step explanation:

(=^w^=)

can do 7-4/-5--9

3/4 woof

The slope of the line represented by the given data points is 3/4.

To find the slope of the line represented by the given data points, we can use the formula for slope:

slope = (change in y) / (change in x)

Let's calculate the changes in y and x using the given data points:

Change in y:

From y = 4 to y = 16, there is an increase of 16 - 4 = 12.

Change in x:

From x = -9 to x = 7, there is an increase of 7 - (-9) = 16.

Now, we can calculate the slope using the formula:

slope = (change in y) / (change in x)

= 12 / 16

= 3 / 4

Therefore, the slope of the line represented by the given data points is 3/4.

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Answer:

14x

Step-by-step explanation:

The (6x+1) = 7 and the other equation also equals 7 so you add together and just ad the x variable since there is no answer

Answer:

Answer:

a) 8 m  

Step-by-step explanation:

a) all sides of a square are equal - there's 4 sides.

4x = 32m

x = 32/4

x = 8 m

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Answer:

Step-by-step explanation:

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Answer:

108

Step-by-step explanation:

Answer:

Part A: 3x + 36 = 180

Part B: x = 48

Step-by-step explanation:

A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:

3x + 36 = 180

Solve the equation:

3x + 36 = 180

Subtract 36 from both sides

3x = 144

Divide both sides by 3 to isolate the variable

x = 48

Check your work:

3(48) + 36 = 180

144 + 36 = 180

180 = 180

Correct

Answer:

There is not sufficient evidence to warrant the rejection of the claim that the mean weight of cereal is atleast 14 oz

Step-by-step explanation:

The hypothesis for the test above will be stated as follows :

The claim to be tested is the alternative hypothesis, which is the negation of the Null hypothesis

H0 : μ < 14

H1 : μ ≥ 14

If the Null is rejected, then it means that the company's claim that the mean weight of its cereal being atleast 14 is valid ;

Then it means there is significant evidence to support the stance that the mean weight of cereal in the company's packet is atleast 14 oz.

Answer:

The total cost of the copies will be $ 15.14.

Step-by-step explanation:

Given that a long year-end status report for work is 134 pages long, and I need to print 16 copies for a meeting next week, to determine how much is the paper going to cost for those reports if paper is sold in reams (500 pages) for $ 3.53 each the following calculation must be performed:

(134 x 16) / 500 = X

2,144 / 500 = X

4.288 = X

500 = 100

144 = X

144 x 100/500 = X

14,400 / 500 = X

28.8 = X

100 = 3.53

28.8 = X

28.8 x 3.53 / 100 = X

101.664 / 100 = X

1.016 = X

1.016 + (3.53 x 4) = X

1.016 + 14.12 = X

15,136 = X

Therefore, the total cost of the copies will be $ 15.14.

Answer:

Reason 2

Step-by-step explanation:

The reason should be transitive property( if a=b and b=c then a=c) not reflective property.

127 - u = 258

-u = 258 - 127

-u = 131 | : (-1)

u = -131

Answer:

127-u=258

258-127=131

Answer:

He is 62.72 inches tall now

Step-by-step explanation:

the twelve over 100 is the percentage, he increased by 12 percent. and the x over 56 is the new value (x) over the old value. We get 6.72 so we add that to 56 to get 62.72.

Answer:

58

Step-by-step explanation:

1).2+24+3 = 29

2) 29 x 2 = 58

Answer:

607 students

Step-by-step explanation:

To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.

Now, let's find the number of boxes and objects:

If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.

Now, If there was only one professor grading the students, in order to ensure that that there are two students with the same professor who earned the same final examination score,

The number of students would have to be = 101 + 1 = 102 students

Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.

Therefore, number of students that will guarantee that there are two students with the same professor who earned the same final examination score must be a minimum of: (6 × 101) + 1 = 607

Answer:

The length of the legs of the triangle is 8 units.

Step-by-step explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:

[tex]2l^2 = h^2[/tex]

Hypothenuse of 8 V2

This means that [tex]h = 8\sqrt{2}[/tex]

So

[tex]2l^2 = h^2[/tex]

[tex]2l^2 = (8\sqrt{2})^2[/tex]

[tex]2l^2 = 64*2[/tex]

[tex]l^2 = 64[/tex]

[tex]l = \sqrt{64}[/tex]

[tex]l = 8[/tex]

The length of the legs of the triangle is 8 units.

Answer:

10/15 + 3/15 = 13/15

Step-by-step explanation:

Answer:

She answered 87.5% correctly.

Step-by-step explanation:

100÷48=2.083

2.083×42=87.5

The percentage of student answered correctly is 87.5%.

A percentage, a relative value indicating hundredth parts of any quantity.

The following formula is a common strategy to calculate a percentage:

According to the given question.

Total number of questions = 48

Total number of questions which are answered correclty by a student = 42

Therefore, the percentage of question the students answered correctly is given by

[tex]Percentage = \frac{total \ correctly \ answered\ questions}{Toal\ number \ of\ questions\ } \times 100[/tex]

[tex]\implies percentage = \frac{42}{48} \times 100[/tex]

[tex]\implies percentage = 0.875\times 100[/tex]

[tex]\implies percentage = 87.5\%[/tex]

Hence, the percentage of student answered correctly is 87.5%.

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Answer:

FALSE, TRUE, FALSE, FALSE

Step-by-step explanation:

pi/2>2 - FALSE

3pi>9 - TRUE

2pi-1<5 - FALSE

pi+8<11 - FALSE

Answer:

B) (2x100) + (4x10) + (1x1) + (3x1/10) + (2x1/100) + (4x1/1000)

Answer:

21.3:1

Step-by-step explanation:

So we have to find the unit rate, and we do that by getting that 6 down to a 1, and we do that by dividing 6 by 6 and then we gotta do that on the other side too:

6 ÷ 6 = 1

128 ÷ 6 = 21.3 (simplified)

So 128 to 6 days in simplest terms is 21.3 hours to 1 day

hope this helps:)

Answer: 86%discount approx

Step-by-step explanation:

You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:

578:100=78:x

X=(78*100)/578

X=14 %

Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%

Answer:

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Answer:

Hi! The answer to your question is B. [tex]10x[/tex]

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

Answer: 4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

Answer: There’s nothing

Step-by-step explanation:

They both get 2 and 1/2 of a cookie!

Answer:

2 1/2

Step-by-step explanation:

The only way for the friends to get an equal amount is to split one of the cookies in half. or 5 divided by 2= 2 1/2