Determine whether the point (–3,–6) is in the solution set of the system of inequalities below. x ≤ –3 y < 5∕3x + 2

Answer:

As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.

19+m=38

If you want to solve the equation, just subtract 19 from both sides.

19+m=38

m=19

Answer:

13lb 2oz

Step-by-step explanation:

Answer:

49 minutes

Step-by-step explanation:

Volume

v = πr²h

v = π(2.5²)4

v = 78.5 ft³

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

Gallons needed

78.5 * 7.5 = 588.75 gallons

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

Time to fill

588.75 / 12 = 49.0625

Rounded

49 minutes

Answer:

y is -3

Step-by-step explanation:

y = 1/4x is for every 1 x, the y goes up by a quarter.

I think this is the answer

Answer:

Step-by-step explanation:

a) (x +4)·9 = 9x +36

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b) y +7 +8 -7(x -8) = y +7 +8 -7x +56 = y +15 -7x +56 = y -7x +71

__

c) (4 -5) +x(6 -8) = -1 +x(-2) = -2x -1

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d) y(4 -8) -3y = y(-4) -3y = -4y -3y = -7y

__

e) x +8y -16x(1 -3) = x +8y -16x(-2) = x +8y +32x = 33x +8y

__

f) 8² -x(4 -8) +√25 = 64 -x(4 -8) +5 = 64 -x(-4) +5 = 64 +4x +5 = 4x +69

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g) 5³ -4(y -7y) -√81 = 125 -4(y -7y) -9 = 125 -4(-6y) -9 = 125 +24y -9 = 24y +116

__

h) x² -4 -5y -√36·√144 +23(x -5x) = x² -4 -5y -6·12 +23(x -5x)

  = x² -4 -5y -6·12 +23(-4x) = x² -4 -5y -72 -92x = x² -92x -5y -76

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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You roll a fair number of cube. The Probability of P(2 then 2) would be 1/36.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Here is a complete description You roll a fair number cube to find probability of p(2, then2)

Given the sample space for a die

S = (1, 2,3,4,5,6) = 6

The Probability of 2 then 2 = (1/6) x (1/6)

= 1/36

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Answer:

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 13

and the lengths of the legs are 5 and x.  ansswer is 12

Answer:

AB = 18

Step-by-step explanation:

Oh man these are so much fun!

So for the angles:

A + B + C = 180 deg

And the sides:

Well, we don't know yet

Let's solve for x:

Since all the sides are equal (and there are three sides) we can do 180 / 3 to find each angle. So, each angle is 60 deg

6x = 60

Divide both sides by 6:

x = 10

Now for the sides:

x + 8 = BC

10 + 8 = BC

BC = 18

Since all the sides are equal, AB = 18 as well!

Answer:

Walt pays $47

Step-by-step explanation:

If Walt pays $32 for his haircut, and 15% is his tip,

We know here that in percentages, 15% = 15/100, which equals $15

Then, you would simply do 32 + 15

32 + 15 = 47.

Walt pays $47 for his haircut

hope this helps! <3

Answer: 36.8

Step-by-step explanation:

32 x 115 / 100 or you can find the 15% of 32 which is 4.8 and add it to 32 you get 36.8

Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

1732.2097 has 8 significant figures.

Step-by-step explanation:

Every non-zero digit is considered a significant number. Also, in some exceptional cases, zero can also be considered a significant figure if it is in the middle of two non-zero digits.

Just like in the number given, 1732.2097. We have 7 non-zero digits which certainly would be considered to be significant figures. Zero is between two significant figures, 2 and 9, therefore, it would also be referred to as a significant figure.

Therefore, the number, 1732.2097, has 8 significant figures.

Answer:

24

Step-by-step explanation:

Let x = the 10's digit

Let y = the units

then

10x+y = "a number"

:

A number is 4 times the sum of its digits.

10x + y = 4(x + y)

10x + y = 4x + 4y

10x - 4x = 4y - y

6x = 3y

Simply, divide by 3

2x = y

;

The units digit is two more than the tens digit.

y = x + 2

Replace y with 2x

2x = x + 2

2x - x = 2

x = 2

then

y = 4

:

24 is the number

The two digit number is equivalent to 24.

Given is that a number is 4 times the sum of its digits. The units digit is two more than the tens digit.

Let the number be {A}. Then, we can write -

A = 10x + y                             ......... (1)

also

A = 4(x + y)                            ........... (2)

The units digit is two more than the tens digit, so we can write -

y = x + 2                               .............. (3)

So, we can write -

10x + y = 4(x + y)

10x + (x + 2) = 4(x + x + 2)

11x + 2 = 8x + 8

3x = 6

x = 2

So, we can write {y} as -

y = 4

Number will be -

10 x 2 + 4

n = 24

Therefore, the number will be equivalent to 24.

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Answer:

there is no

Step-by-step explanation:

Step-by-step explanation: Begin by studying the pattern.

Notice that if we divide the first term,

360, by 6, we get the second term, 60.

Similarly, if we divide the second term,

60, by 6, we get the third term, 10.

So each new term is equal to the previous term

divided by 2, so we use this idea to find any missing terms.

The solutions to the linear function are;

1. The soccer team makes more money per car ($8) than the French club ($5).

2. The graph that demonstrates Arnold's journey is graph 3

3. The graph that demonstrates Francisco's journey is graph 1

4. The graph that demonstrates Celia's journey is graph 2

To determine which group makes the most money per car, we can calculate the slope of the linear function representing the amount earned per car washed for both the French club and the soccer team. The slope of a linear function is the change in the dependent variable (y) divided by the change in the independent variable (x).

Let's calculate the slope for the soccer team. We can choose any two points to calculate the slope. Let's use the points (3, 24) and (6, 48):

Slope (m) = (change in y) / (change in x) = (48 - 24) / (6 - 3) = 24 / 3 = 8

The soccer team earns $8 per car washed.

We can choose any two points to calculate the slope for the French club. Let's use the points (2, 10) and (4, 20):

(20 - 10) / (4 - 2) = 10 / 2 = 5

The French club earns $5 per car washed

The above answer is dependent on the questions below;

The french club and soccer team are washing cars to earn money. The amount earned, (y) dollars for washind (x) cars is a linear function.  Which group makes the most money per car? explain

                                      French club

Number of cars (x)                       Amount earned (y)

2                                                         10

4                                                          20

6                                                          30

8                                                         40

10                                                         50

Soccer team

Number of cars (x)                       Amount earned (y)

3                                                      24

6                                                       48

9                                                      72

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Answer:

552 eggs

Step-by-step explanation:

A dozen is equal to 12

Solve:

Multiply 46 by 12

Answer: The store has a markup percentage of 200%.

Step-by-step explanation: Markup percentage = (selling price - cost price) / cost price x 100%

Markup percentage = (30 - 10) / 10 x 100% = 200%

The store has a markup percentage of 200%. This means that the store has increased the price of the shirts by 200% above the cost price to make a profit.

Answer:

the percent markup is 25%.

Step-by-step explanation:

To find the percent markup, we need to know the difference between the cost price (what the store paid for the shirts) and the selling price (what the store is selling them for), and then divide that difference by the cost price and multiply by 100 to get the percentage.

Cost price = $7200 / 300 = $24

Selling price = $30

Profit = $30 - $24 = $6

Markup = (Profit / Cost price) * 100 = (6/24) * 100 = 25%

So the percent markup is 25%.

Answer:

The answer would be 6 teaspoons

Answer:

6 teaspoons my guy.

Took da test

Step-by-step explanation:

Answer:

240 cubic inches.

Step-by-step explanation:

To calculate the volume of the sandcastle decoration in the fish tank, we can use the formula:

Volume of the decoration = Total volume of water after adding the decoration - Volume of water before adding the decoration

The volume of water before adding the decoration is the volume of the rectangular prism formed by the fish tank, which is:

Volume of water before = Length x Width x Height

= 16 x 15 x 12

= 2,880 cubic inches

After Kyle added the sandcastle decoration, the water level rose to 13 inches. This means the volume of water in the tank increased by the volume of the decoration. The new volume of water in the tank is:

Volume of water after = Length x Width x Height

= 16 x 15 x 13

= 3,120 cubic inches

Therefore, the volume of the sandcastle decoration is:Volume of decoration = Volume of water after - Volume of water before

= 3,120 - 2,880

= 240 cubic inches

Therefore, the volume of the sandcastle decoration in the fish tank is 240 cubic inches.

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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