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2 years ago

A rental car company charges $54.35 per day to rent a car and $0.09 for every mile

Mathematics

1 answer:

Setler [38]2 years ago

6 0

9514 1404 393

Answer:

54.35d + 0.09×425 ≤ 320

Step-by-step explanation:

The amount Jayden will spend on rental for d days and 425 miles will be ...

54.35d + 0.09×425 ≤ 320 . . . . . the basic inequality

This can be simplified to ...

54.35d +38.25 ≤ 320

or ...

54.35d ≤ 281.75 . . . . . . . subtract 38.25

_____

Divide by the coefficient of d to find the solution:

d ≤ 5.184

Jayden can rent the car for 5 days while staying within his budget.

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Fifty balls numbered 1 through 50 are mixed up in a barrel. How many balls must you draw from the barrel (without looking) to be

ipn [44]

If you draw only 25 balls, you could draw the 25 odd-numbered balls. However, there will then be no odd-numbered balls left, so when you draw two more you will be guaranteed to get two even-numbered balls. Thus, the minimum is 25+2=27 balls.

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2 years ago

PLEASE ANSWER ASASP -5y + 4 = -11 what is y?

lorasvet [3.4K]

Answer:

Step-by-step explanation:

-5y + 4 = -11 Get rid of the numbers to get y alone.

-5y +4 minus 4 = -11 minus 4 Here you are removing the 4 from the left

-5y = -15 Now you will have to get rid of the -5

-5y/(-5) = -15/(-5)

y = 3

3 0

2 years ago

Read 2 more answers

Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B

Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

$\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}$

$b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft$

The length of side b is 179 ft

Option C is correct.

7 0

2 years ago

Find the cosine of angle B.

Alexandra [31]

$\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }$

9² = 12² + 15² - 2 (12) (15) cos (B)

81 = 144 + 225 - 360 cos(B)

81 = 369 - 360 cos (B)

360 cos (B) = 369 - 81

360 cos (B) = 288

cos (B) = 0.8

Answer: Cosine B = 0.8

$\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }$

12² = 15² + 9² - 2 (15)(9) cos (A)

144 = 225 + 81 - 270 Cos A

144 = 306 - 270 Cos A

270 Cos A = 162

Cos A = 3/5 or 0.6

Answer: Cosine Angle A = 3/5

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2 years ago

three points have coordinates A(-1,2),B(3,10)and C(p,8).Find the value (s) of p if AC is perpendicular to BC.

Reil [10]

Step-by-step explanation:

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2 years ago