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1 year ago

4A.

Mathematics

1 answer:

antoniya [11.8K]1 year ago

4 0

The number of paychecks Jalen will have to save until he can purchase the laptop is 6

<h3>How many paychecks will Jalen have to save until he can purchase the laptop? </h3>

<u>Define your variable</u>

To do this, we use the following variables

x represents the number of paychecks
y represents the cost of the laptop

<u>Set up an equation, and solve it.</u>

In (a), we have:

x represents the number of paychecks
y represents the cost of the laptop

Using the above variables, the equation is:

y = 200 + 50x

The cost of the laptop is $500.

So, we have:

200 + 50x = 500

Evaluate the like terms

50x = 300

Divide by 50

x = 6

Hence, the number of paychecks Jalen will have to save until he can purchase the laptop is 6

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

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vesna_86 [32]

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Answer:

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3 years ago

A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th

Vladimir [108]

Answer:

The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$

Step-by-step explanation:

Given as :

The distance of blimp (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = $\frac{AC}{BC}$ = $\frac{h}{d}$

And sin Ф = $\frac{AB}{BC}$ = $\frac{5500}{d}$

∵, cos²Ф = 1 - sin²Ф

So, $(\frac{h}{d})^{2}$ = $1 - (\frac{5500}{d})^{2}$

Or, $(\frac{h}{d})^{2}$ = $(\frac{d^{2}- 5500^{2}}{d^{2}})$

Or, h² = d² - 5500²

∴ h = $\sqrt{d^{2}- 5500^{2}}$

Or, h = $\sqrt{(d + 5500) (d - 5500)}$

Hence The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$ Answer

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