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4 years ago

Can someone explain the formula for this question?

Mathematics

1 answer:

Triss [41]4 years ago

6 0

Answer:

Step-by-step explanation:

a) if the number of drill sold is plotted on the horizontal or x axis and the price of each drill sold is plotted on the vertical or y axis, the slope would be

m = (y2 - y1)/(x2 - x1)

= (40 - 50)/(3000 - 2000)

Slope, m = - 0.01

b)For every additional drill sold, the price per drill decreases by 0.01 cent

c) The equation of a straight line modelled in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents the y intercept

To determine the y intercept, we would substitute m = - 0.01, x = 2000, y = 50 into y = mx + c. It becomes

50 = - 0.01 × 2000 + c

50 = - 20 + c

c = 50 + 20 = 70

The equation modelling the situation is

y = - 0.01x + 70

Therefore, if the trend continues, the number of drills that would be sold for $43 is

43 = - 0.01x + 70

0.01x = 70 - 43 = 27

x = 27/0.01

x = 2700

2700 drills would be sold

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It would take 5 weeks for their savings accounts to be equal.

Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
Number of weeks it would take for both of them to have the same amount.
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
At 5 weeks they will both have:
50 + 8 * 5 = $90
65 + 5 * 5 = $90

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2 years ago

The height of a cone is twice the radius of its base. A cone has a height of 2 x and a radius of x. What expression represents t

9966 [12]

Answer:

it's 2/3piX^3 i got a 100 on the test

Step-by-step explanation:

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4 years ago

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Answer:

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4. Not a Right Triangle

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3 years ago

Davina guessed that there are 300 calories in a McDonald's cheeseburger.

dimulka [17.4K]

Answer:

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Step-by-step explanation:

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3 years ago

What additional information would he need to prove the triangles are congruent using the Side-Angle-Side method?

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Answer:

$\angle A \cong \angle D$

Step-by-step explanation:

Two ∆s can be considered to be congruent to each other using the Side-Angle-Side Congruence Theorem, if an included angle, and two sides of a ∆ are congruent to an included angle and two corresponding sides of another ∆.

∆ABC and ∆DEF has been drawn as shown in the attachment below.

We are given that $\overline{AB} \cong \overline{DE}$ and also $\overline{AC} \cong \overline{DF}$ .

In order to prove that ∆ABC $\cong$ ∆DEF using the Side-Angle-Side Congruence Theorem, an included angle which lies between two known side must be made know in each given ∆s, which must be congruent accordingly to each other.

The included angle has been shown in the ∆s drawn in the diagram attached below.

Therefore, the additional information that would be need is:

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3 years ago