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3 years ago

12

Classify the relationship between each pair of angles as alternate interior, alternste exterior, corresponding, or consecutive i

nterior angles.
1. Angle 6 and angle 16
2. Angle 3 and angle 10
3. Angle 8 and angle 14

1 answer:

ss7ja [257]3 years ago

8 0

1. alternate exterior
2. consecutive interior
3. alternate interior
hope this helps!!!

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What is 600,319,287,914 + 297,997,000,026?

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898316287940

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2 years ago

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The fine schedule for overdue books at the county library is modeled by the values in the table.

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Answer:

The answer would be B!

Step-by-step explanation:

In the chart if you divide the number of days over due to the cost of the fine, you get 5/2 every time. therefore, if y is the cost in cents and x is the days overdue, you would multiply x5/2 or y=5/2x, so your answer is B (y=5/2x).

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3 years ago

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Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C

Mama L [17]

Total number of pizzas Juan ordered $20$

Since, $45\%$ of pizzas have $8$ slices.

Therefore, number of pizzas with $8$ slices are: $45\%\times(20)$

$=\frac{45}{100} \times(20)$

$=\frac{45}{10} \times(2)$

$=\frac{90}{10}$

$=9$ pizzas

Also, since, $55\%$ of pizzas have $12$ slices.

Therefore, number of pizzas with $12$ slices are: $55\%\times(20)$

$=\frac{55}{100} \times(20)$

$=\frac{55}{10} \times(2)$

$=\frac{110}{10}$

$=11$ pizzas

Now, there are $9$ pizzas with $8$ slices and $11$ pizzas with $12$ slices.

Therefore, total number of slices of pizza are: $=(9)(8)+(11)(12)$

$=72+132$

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3 years ago

Suppose that profit for a particular product is calculated using the linear equation: Profit = 20S + 3D. Which of the following

uranmaximum [27]

Answer:

b. S = 405, D = 0

Step-by-step explanation:

We have been given that profit for a particular product is calculated using the linear equation: $\text{Profit}=20S+3D$ . We are asked to choose the combinations of S and D that would yield a maximum profit.

To solve our given problem, we will substitute given values of S and D in the profit function one by one.

a. S = 0, D = 0

$\text{Profit}=20S+3D$

$\text{Profit}=20(0)+3(0)$

$\text{Profit}=0$

b. S = 405, D = 0

$\text{Profit}=20S+3D$

$\text{Profit}=20(405)+3(0)$

$\text{Profit}=8100+0$

$\text{Profit}=8100$

c. S = 0, D = 299

$\text{Profit}=20S+3D$

$\text{Profit}=20(0)+3(299)$

$\text{Profit}=0+897$

$\text{Profit}=897$

d. S = 182, D = 145

$\text{Profit}=20S+3D$

$\text{Profit}=20(182)+3(145)$

$\text{Profit}=3640+435$

$\text{Profit}=4075$

Since the combination S = 405, D = 0 gives the maximum profit ($8100), therefore, option 'b' is the correct choice.

7 0

3 years ago

The graph of a line has a slope of -7 and a y intercept of (0,0). Rewrite the equation in standard form (Ax+By=C) with a positiv

Anna11 [10]

Answer:

the equation of the line is 7x + y = 0 .

Step-by-step explanation:

in the standard form of the line that is Ax +By = C we can write it in the form of

By = C - Ax

$y = \frac{-A}{B}x +\frac{C}{B}$

which is in the form of $y = mx +c$

where m is the slope of the line and c is y intercept made by the line.

comparing $y = \frac{-A}{B}x +\frac{C}{B}$ and $y = mx +c$

we get that $\frac{-A}{B} =m$ and $\frac{-C}{B} = c$

since it is given that slope of the line is -7 therefore m = -7 and c = 0

therefore $\frac{-A}{B} =-7$ and $\frac{-C}{B} = 0$

therefore C = 0 , A = 7 and B = 1

therefore the equation becomes 7x + y = 0

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3 years ago