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Vsevolod [243]
3 years ago
8

Which of the following best describes the solutions to the inequality shown below?

Mathematics
1 answer:
ollegr [7]3 years ago
7 0
D. I think because you would get a negative
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The sign shows the prices of various school
mars1129 [50]

Answer: (D) 1.99x + 1.89y = 9.57

Step-by-step explanation: The reason is because equation option D states that for every notepad and pencil, x and y he bought, the total of his bill would equal $9.57.

6 0
3 years ago
A carnival uses two baskets hanging from springs at different heights. Next to the higher basket is a pile of baseballs. Next to
Lelechka [254]

*I've tried looking up to see if I can find what the part B and c of this question is, but unfortunately, I can't find them. However, I have tried answering this question by answering part a, and also going ahead to answer how to state and explain the secrets of winning the game. I'm pretty sure most of the questions would be answered in the process.

Answer/Step-by-sep explanation:

Using an equation, in slope-intercept form, we can derive an equation that models the relationship of the height of each basket and the number of balls it contains.

The slope-intercept form is given as: y = mx + b, where,

m = slope/rate of change

b = y-intercept/strating value/height of the basket when it's empty.

✍️Baseball Equation:

Using two pairs, (0, 54) and (5, 39) from the given table of values,

Slope/rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{39 - 54}{5 - 0} = \frac{-15}{5} = -3.

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 54

This means that the baseball basket was at a height of 54 units when it was empty.

m = -3, means the baseball basket kept reducing at an average rate of -3 units in height as each ball was added.

To derive the baseball equation, substitute m = -3, and b = 54 into y = mx + b.

✅Thus, base ball equation would be:

y = -3x + 54

✍️Golf Ball Equation:

Using two pairs, (0, 45) and (5, 35) from the given table of values,

Slope/rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{35 - 45}{5 - 0} = \frac{-10}{5} = -2.

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 45

This means that the golf ball basket was at a height of 45 units when it was empty.

m = -2, means the golf ball basket kept reducing at an average rate of -2 units in height as each ball was added.

To derive the baseball equation, substitute m = -2, and b = 45 into y = mx + b.

✅Thus, golf ball equation would be:

y = -2x + 45

Now, to win the game, we have to find out how many number of exact balls (x) we need to add in each basket equally, for both baskets to be at the same height.

To do this, set the equation of the baseball equal to that of the golf ball.

Thus:

-3x + 54 = -2x + 45

Collect like terms

-3x + 2x = -54 + 45

-x = -9

Divide both sides by -1

x = 9

✅To win the game, add 9 balls each to both basket to make the height of both baskets equal.

Let's check to see if both baskets will yield the same height if we add 9 balls each basket.

✍️Height (y) of Golf ball basket if we add 9 balls (x):

Substitute x = 9 into y = -2x + 45

y = -2(9) + 45 = -18 + 45

y = 27 units

✍️Height (y) of Baseball basket if we add 9 balls (x):

Substitute x = 9 into y = -3x + 54

y = -3(9) + 54 = -27 + 54

y = 27 units

✅As we can see, both baskets will be at the same height of 27 units when we add 9 balls to each basket.

The game will be won if we do this.

6 0
2 years ago
The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th
Debora [2.8K]

Write a recursive and explicit formula for each option.

  • The Arnolds

Save a nickel on the first day of the month and then double the amount each day for a month

=> a1 =0.05

=> a2 = a1* 2 = 0.05*2

=> a3 = a2*2 = a1* 2*2

..............................................

=>recursive an = a_{n-1} *2

=> explicit an = 0.05*2^{n-1}

  • The Gaineys

Start their savings by saving  $10  on the first day and then  $10  each day of the month

=> a1 = 10

=> a2 = a1 + 10 = 20

=> a3 = a2 +10 = 20 +10 =30

........................................................

=> recursive an = a_{n-1} +10

=> explicit an = 10 + 10( n-1)

Hope it will find you well.

8 0
3 years ago
Why might you want to round to the nearest hundred rather than the nearest ten
Luba_88 [7]
To obtain a more accurate answer! :)
8 0
3 years ago
Read 2 more answers
Monique made 7 more videos than ana. how many videos did monique make is ana made 12 videos?
dem82 [27]

Answer:

Monique made 19 videos

Step-by-step explanation:

If Ana made 12 videos, but Monique made 7 videos more, you would use addition to find the answer.

12 + 7 = 19

Therefore, Monique made 19 videos and Ana made 12 videos.

I hope this helps :)

8 0
3 years ago
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