Find the measure of each angle

Answer:

[tex]6\frac{1}{3} or \frac{19}{3}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

=8+1/2−2−1/6

Solving the whole number parts

8−2=6

Solving the fraction parts

1/2−1/6=?

Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.

LCD = 6

3/6−1/6=2/6

Reducing the fraction part, 2/6,

2/6=1/3

Combining the whole and fraction parts

6+1/3=6 1/3

Answer:

25m2

Step-by-step explanation:

b = 10

10 divided by 4 = 2.5

h = 2.5

2.5 times 10 = 25m2

Answer:

2

Step-by-step explanation:

4 chipped + 16 not chipped = 20 total

4 / 20 = 1/5 or 20% chance that vase will be chipped

Set up a proportion or find 20% of 10.

[tex]\frac{1}{5} = \frac{x}{10}[/tex]     x = 2 (ten is on denominator because it's the total amount of vases)

or 10 * 0.2 = 2

Answer: Only j = 2

============================================

Explanation:

Let's solve for j

[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]

In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.

The last step shows that j = 2.4 or j < 2.4

So j is 2.4 or smaller.

Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.

---------------------------

If j = 2, then,

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]

which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.

Something like j = 8 does not work because

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]

which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.

Of the list given, j = 2 is the only solution.

______________________________

So this is False.

So this is False.

So this is True.

So this is False.

______________________________

Answer:

b and d

Step-by-step explanation:

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

Answer:

Catch Me Knuckles!

Step-by-step explanation:

The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The interval estimate of the population mean can be found out using the following formula:

[tex]\overline X\pm MOE[/tex]

Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.

On a highway, a random sample is taken of the speed, in mph, of 50 cars.

Put the values in the above formula as,

[tex]61.8\pm 2.3\\59.5,641[/tex]

Thus, the interval estimate of the population mean

[tex]59.5 < h < 61.8[/tex]

Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

Learn more about the margin of error here;

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Answer:

Mrs pitoya has to buy 9 crates of apples

Answer: She only needs to buy 5 more crates of apples.

30 + 20(x) = 130

30-30+20(x)=130-30

20x = 100

x = 5

Step-by-step explanation:

Answer:

e i think or find out what x =

Answer:

y=2x+1

Step-by-step explanation:

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

left 4 up one because the coordinates are -4 , 1

Answer:

the first one (-4, 1)

Step-by-step explanation:

Answer:

3y+2x+5y+3x

Step-by-step explanation:

sepreate the varible numbers from the reguler

Answer:

15-25

Step-by-step explanation:

Answer:

Read below !!

Step-by-step explanation:

Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!

I hope this helps !!

Answer:

about 7.8

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=8^2

2+b^2=64

B^2=62

B= about 7.8

Answer:

609

Step-by-step explanation:

ratio of teachers to students at Priory School =2:27

Let X= total number of both the students and the teacher

Ratio of teacher=( 2/29)X

Ratio of student is (27/29 )X

But total number of teacher = 42

2/29 ×X =42

2X= 42×29

2X=1218

X= 609

Hence, school's total population is 609

Answer:16/20

Step-by-step explanation:  

if you divide the two numbers by 4 you have:

16/4=4

20/4=5

(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)

So the two numbers are same

Answer:

Y=-3X+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

okay so look at the image down below

Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!

Answer:10x^2-27x+5. 10x2−27x+5 10 x 2 - 27 x + 5. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite ...

Step-by-step explanation:

The solution of the equation:

x = -0.28 to the nearest tenth.

x = 4.53 to the nearest tenth.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation,

4x²-27x-5 = -10x

Simplifying,

4x²-27x-5 + 10x = 0

4x²-17x-5 = 0

So,

x = {-(-17) ± √(289 + 80)}/8

x = (17 ± √369) / 8

When we take - sign,

x = - 0.276

x = -0.28 to the nearest tenth.

When we take + sign,

x = 4.526

x = 4.53 to the nearest tenth.

Therefore, the values are x = -0.28 and x = 4.53.

To learn more about the quadratic equation;

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Answer:

4x

Step-by-step explanation:

Answer:

I like that you watch wwe for one. but lets get started

the answer itself is m< 4=87

Step-by-step explanation:

Answer:

The answer is 87°

Step-by-step explanation:

A quadrilateral has an interior angle sum of 360°.

Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:

89° + 80° + 104° + x° = 360°.

All you have to do is add all the measures up and subtract from 360°.

89° + 80° + 104° + x° = 360° →

273° + x° = 360° →

x° = 87°.

Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.

A quadrilateral is a polygon with four sides so it's interior angle sum must be

(4 – 2) × 180° = 2 × 180° = 360°.

Answer:

11

Step-by-step explanation:

25% is 0.25 or 1/4

44 x 0.25 =11