Oliver is working two summer jobs, making $8 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can work no more than 16 total hours and must earn no less than $180. If xx represents the number of hours babysitting and yy represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.

Answer:

1. 8

2. 3

Step-by-step explanation:

\(f(g(3)) \\= f(2(3)-3))\\=f(3)\\=3^2-1\\= 9-1\\=8\\\\g(f(-2))\\= g((-2)^2-1)\\=g(4-1)\\=g(3)\\=2*3-3\\=3\)

Answer:

m=3, y = 3x - 2

Step-by-step explanation:

slope = rise / run

slope = 6/2

slope = 3

Answer:

The slope is 3.

Step-by-step explanation:

Slope is equal to rise over run. Let’s take a look at the points given to us on the graph.

To go from the leftmost point to the rightmost point, we rise (go up) 6 units, and then we run over (go right) 2 units. So we have:

Slope = Rise/run = 6/2

Now 6/2 is equal to 3, and that’s the slope.

The rate of change of velocity with respect to time is known as acceleration.

(a). After 10 second, rock will reach at its highest point.

(b). After 20.1875 second, rock fall back onto the moon surface.

Given data are, initial velocity(u) = 16 m/s , acceleration\((g)=1.6 m/s^{2}\)

(a)Relation between initial velocity (u) and final velocity(v) and acceleration,

                 \(v = u - gt\)

When rock reaches at its highest point. Then velocity (v) = 0

Substituting all values in above equation.

            \(0 = 16 - (1.6)t\)

            \(t = 16/1.6\)

            \(t = 10 second.\)

(b) Since, Astronaut Bob is standing on a platform 3 meters above the moon's surface .

So, time taken by rock to fall back onto moon surface is ,

   \(t = 10 + 10 + 3/16\)

      t = 20.1875 second.

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The girl which is correct between kate and her friend Margo is Margo.

The correct answer option is option B

If each friend gets the same number of pens;

Number of pens each friend get = Number of pens Kate has / Number of Kate's friends

= 63 / 9

= 7

Check:

Number of pens each friend get × Number of Kate's friends = Number of pens Kate has

7 × 9 = 63

Therefore, Kate's friend, Margo is correct.

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Answer:

A) (1)/(7)

B) 33

Step-by-step explanation:

For (A), the sequence follows in 1 divided by numbers in a consecutive order, therefore after (1)/(6), the next term is (1)/(7)

For(B), the sequence follows in multiples of three but skips one in between

Example: Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36...

In the sequence, 6, 12, 18 and 24 are skipped, meaning that the next number to be skipped is 30, hence 33 is the next number in the sequence.

Because all the numbers in the sequence are odd numbers we can say that the sequence follows in odd consecutive numbers which are multiples of 3.

Answer: According to Islamic theology, God has no body or gender (neither male nor female), and there is absolutely nothing like Him in any way whatsoever.

Step-by-step explanation:

Therefore, the correct answer is A. Y intercept will be less and X will be less.

A graph is a visual representation of data that shows the relationship between two or more variables. Graphs are commonly used to display information in a way that is easy to interpret and analyze. They are often used in fields such as science, mathematics, economics, and engineering to help illustrate and explain complex data.

Here,

The introduction of a cost of 0.25 cents per mile for the driver would be an additional expense for the trucking company, and would affect their profit. This means that the profit values (on the y-axis) would decrease for each point on the graph. However, the miles traveled (on the x-axis) would remain the same as the cost of the driver is proportional to the distance traveled.

Therefore, the y-intercept of the graph (the profit when the truck has traveled zero miles) would be less than it was before, because the trucking company has a new cost that reduces their overall profit. However, the x-intercept (the point where the profit is zero) would remain the same, as this point is determined solely by the revenue and cost of the trucking company.

The slope of the graph would also be affected, as the profit now decreases at a faster rate as the miles traveled increase. The new slope would depend on the specific values of the revenue, costs, and driver expenses for the trucking company, but in general, it would be steeper than before.

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Answer:

Step-by-step explanation:

Combination of two inequalities above:

Or interval notation:

136000 many bacteria will there be in 17 hours at a rate of 4 percentage per hour.

What is an example of a percentage?

given ,

          rate = 4%

bacteria  starts growing = 320

                 rate = 4%

  4% = 320

  1 = \(\frac{320 * 100}{4} = 8000\)

bacteria will there be in 17 hours =  17 ×  8000

                                                       =  136000

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Answer:

C

Step-by-step explanation:

Answer:

500 below because you just do the opposite

Answer:

0.0001

Step-by-step explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation <  782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001

Answer:

Reflection over the y-axis and a translation right by 2

Step-by-step explanation:

Answer: 43%,

Step-by-step explanation:

i did it in my search bar but its just 112 percent of 378 which is 43

Answer:

Step-by-step explanation:

Circumference is 2πr - 2r = 90cm

2r(π-1)=90

divide both sides by (π-1)

2r = 90/(π-1)

2r = 42.024...

r = 21.012399 cm

Step-by-step explanation:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

b) associative

Step-by-step explanation:

The associative property of multiplication was used to change the position of the parentheses

Answer:

1.no,2.yes 3.yes 4.no

Step-by-step explanation:

rhombuses are subcategories of squares. some isosceles triangles have angles more than 90 degrees or 90 degrees exact

Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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When 'n' is substituted into the expression, the simplification of the above polynomial would be = 12

The given expression is ;

n²-3n + 8

Given that n = 4

Substitute 4 into the equation,

= 4²-3(4) + 8

= 16 - 12 + 8

= 16- 4

= 12

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Answer:

x = 8 is a solution for the equation

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

60

Step-by-step explanation:

If Olivia typed 2 pages in 12 minutes, this means that she can type 1 page in 6 minutes. Since we're looking for the amount of time it would take her to type 10 pages, we multiply 6 by 10 to get 60.

Answer:

60 minutes

Step-by-step explanation:

if Olivia writes 2 pages in 12 minutes that means she writes 1 page in 6 minutes. 6 minutes per page times 10 pages equals 60 minutes for 10 pages.

It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

To solve this problem, we can use the concept of "work rates."

Let's find out how much work Fran and Denise can do individually in one hour.

If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).

Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).

When they work together, their work rates are additive.

So, their combined work rate would be:

\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)

\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)

\(=\frac{7}{24} room/hour\)

This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.

To determine the total time required for them to paint the entire room, we can invert their combined work rate:

\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)

Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

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The number of Wolves are growling is in multiple of  3.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Given  The wolves were either howling of growling,

and ratio of the number of howlers to the number of growlers is

8:3 = 8/3

since the ratio tells about the total number of  wolves either howling of growling,

let total Wolves be y

so y = 8x + 3x

where x is the common multiple for both,

so growling wolves are in multiple of 3.

Hence growling wolves are in multiple of 3.

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Answer:

yo i know the answer its 5$ for me to help

Step-by-step explanation:

The solution of the given algebraic expression is: ⁷/₁₂ + ⁴/₆q

We are given the algebraic expression as:

¹¹/₁₂ - ¹/₆q + ⁵/₆q - ¹/₃

Combining Like terms gives us:

(¹¹/₁₂ - ¹/₃) + (⁵/₆q - ¹/₆q)

Solving both brackets individually gives us:

((11 - 4)/12) + ⁴/₆q

= ⁷/₁₂ + ⁴/₆q

Thus, we conclude that is the solution of the given algebraic expression problem

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