which shows 2÷3 written as a fraction? (options) a. 2/3 b. 3 1/2 c. 3/2 d. 2 1/3​

Answer:

m < -6 or m > 8

Step-by-step explanation:

m - 2 < -8

Add 2 to both sides of the inequality.

m < -8 + 2

m < -6

m/8 > 1

Multiply both sides of the equation by 8

m/8 ⋅ 8 > 1 ⋅ 8

Simplify.

m > 8

good luck, i hope this helps :)

Answer:

area of shaded region =total area - outer shaded area

Answer:

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Step-by-step explanation:

bc whcehfiwhidheihgeigdi2iwg

Answer:

The number of people who like winter season is 1000.

Step-by-step explanation:

Event event correspond to a set in the Venn diagram, and we use it to find the percentages.

I am going to say that:

Event A: Like summer season

Event B: Like winter season.

55% like summer season

This means that [tex]P(A) = 0.55[/tex]

20% like winter season

This means that [tex]P(B) = 0.2[/tex]

40% don't like both seasons

This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]

Proportion who like both:

This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

Using what we have

[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]

750 like both seasons.

This is 15% of the sample. So the total number of people is t, for which:

[tex]0.15t = 750[/tex]

[tex]t = \frac{750}{0.15}[/tex]

[tex]t = 5000[/tex]

20% like winter season

Out of 5000. So

0.2*5000 = 1000

The number of people who like winter season is 1000.

if 2 quarts=1/2 galleon on the graph.

Then half of 2 quarts will be half of 1/2 galleons.

Therefore 1 quart=1/4 galleons.

Hope it helps!

Answer: expression, addition, subtraction, divide , math

Step-by-step explanation:

Answer:

it's really hard to see the numbers.. but I can explain how to do it. the 5 is on the x axis and the 0 is on the y axis. if you from 0 to 5 on the x axis and the line crosses through that point then it is true.

Answer:

You just said the answers. 54

Step-by-step explanation:

5

Answer:

3/2

Step-by-step explanation:

find 2 points and go up til you are even with it(3 in this case) this is your rise, then go over to the other point(2 in this case) this is your run, so the slope (rise/run) is 3/2

-Todo <3

Answer:

15 points

Step-by-step explanation:

The start and end point of the caterpillar path are;

Start point = (-3, -4)

End point = (25, 38)

The slope of the caterpillar's path, 'm', given the 'x', and y-coordinates of two points is given by the following formula;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, m = (38 - (-4))/(25 - (-3)) = 1.5

The equation of the caterpillar's path in point and slope form is given as follows;

y - (-4) = 1.5 × (x - (-3))

y + 4 = 1.5 × (x + 3)

y + 4 = 1.5·x + 4.5

y = 1.5·x + 4.5 - 4 = 1.5·x + 0.5

y = 1.5·x + 0.5

Given that the 0.5 is added to the product of 'x' and 1.5, the points that have both integer points for 'x', and 'y' are the points that have odd number values of 'x', as follows;

(-3, -4), (-1, -1), (1, 2), (3, 5), (5, 8), (7, 11), (9, 14), (11, 17), (13, 20), (15, 23), (17, 26), (19, 29), (21, 32), (23, 35), (25, 38)

Therefore, we have 15 points counting the start and end points with integer coordinates

Answer:

x = 2 and x = -1/5

Step-by-step explanation:

Factors into (x-2)(5x+1) = 0 and you have your two values for x.

Or solve by quadratic formula [tex]x = \frac{-(-9) \pm \sqrt{9^{2} - 4(5)(-2)} }{2\cdot5} \\x = \frac{9 \pm 11}{10}.\\[/tex]

Two values, [tex]x = \frac{20}{10} = 2\\x = \frac{-2}{10} = -1/5[/tex]

Step-by-step explanation:

According to the pythagrean equation, it should be

[tex]AC^2 = AB^2 + BC^2\\[/tex]

8² = 6² + BC²

64 = 36 + BC²

BC² = 28

BC = ✓28 = 5.29

Answer:

If they won 90 out of 162, they won 55.(5)% of their games.

Step-by-step explanation:

I assume they WON 90 of the 162 games.

90/162 = 45/81 = 15/27 = 5/9

5/9 = 55.(5)%; (because 1/9 = 11.(1)%)

Answer:

55.56%

Step-by-step explanation:

1. Put into a fraction = 90/162

2. Simplify = 5/9

3. Calculate the fractions value by dividing the numerator by the denominator.

4. Multiply the answer by 100

5. Simplify

Hopefully this helps!

Answer:

There are 208 ounces in 13 pounds :)

Answer:

208 oz

Step-by-step explanation:

1 lb = 16 oz

Where you see 1 lb, substitute it with 16 oz.

13 lb = 13 * 1 lb = 13 * 16 oz = 208 oz

Answer:

area of the square = (SIDE)2

=( 4)^2

= 16 answer

Answer:

(1,-2)

Step-by-step explanation:

WE can see that the X value below is 1 and the Y value is -2

Answer:

1296 sorry if im wrong

Step-by-step explanation:

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Answer:

(2,32)

(3,48)

Step-by-step explanation:

2×16=32

3×16=48

Answer:

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.

This means that [tex]\mu = 20.5, \sigma = 3.5[/tex]

a. Between $20.50 and $24.00 per hour

This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So

X = 24

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 20.5}{3.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 20.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.5 - 20.5}{3.5}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

A quadrilateral is made up of four sides. This means the sum of all the side equals 43. This is given as;

(x + 7)  + (x² - 2x ) + (x +3)  + (2x - 2) = 43

x² - 2x + 4x + 8 = 43

x²  - 2x - 35 = 0

Upon solving for x by factorization;

( x - 5) ( x + 7) = 0

The values of x are; 5 and - 7

Since the side of shape cannot have a negative value, -7 is ignored.

x = 5

The length of the sides are;

- X+7 = 5 + 7 = 12

- x² - 2x = 5² - 2(5) = 25 - 10 = 15

- X+3  = 5 + 3 = 8

2x-2 = 2(5) - 2 = 10 -2 = 8

Check:

8 + 8 + 15 + 12 = 43

Answer:

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Answer:

64.6x

Step-by-step explanation:

Answer:

sum of all angle= 180 given angle = 3 X, 10 X AND 7 X

3X + 10X + 7X = 180

20X = 180

X= 180/20

X = 9

X= 9 IS apply to given angle 3X, 10 X  , 7X

3X = 3 ×9=27

10X = 10 ×9 = 90

7X = 7 ×9 =63

ANS IS 27,90,63

Step-by-step explanation:

Answer:

[tex]a=\dfrac{1}{5}[/tex] and b = 1

Step-by-step explanation:

Given that,

[tex]\dfrac{1}{5}+\sqrt7=a+b\sqrt7[/tex]

We need to find the value of a and b.

We should compare both sides of the above equation i.e.

[tex]a=\dfrac{1}{5}[/tex]

and

b = 1

Hence, the values of a and b are 1/5 and 1 respectively.

Answer:

17. x=25

18. x=72

19. x=151

20. x=28

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

It changes 42 cents each year

Answer:

three million

Step-by-step explanation: