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victus00 [196]
2 years ago
10

A group of five friends goes to the state fair. each friend pays the entrance fee and buys one booklet of ride tickets and a mea

l ticket. the entrance fee is d dollars. a booklet of ride tickets cost 2.5 times the entrance fee. a meal ticket costs $4 less than the entrance fee. the expression 5d + 5(2.5d) + 5(d-4) represents the amount the friends pay all together in dollars. which part of the expression represents the total amount the friends pay for meal tickets?
a. d-4
b. 5(2.5d)
c. 2.5d
d. 5(d-4)
Mathematics
1 answer:
AveGali [126]2 years ago
8 0

Answer:

d. 5(d - 4)

Step-by-step explanation:

the entrance fee is d dollars

a booklet of ride tickets cost 2.5 times the entrance fee = 2.5d

a meal ticket costs $4 less than the entrance fee = d - 4

One meal ticket costs d - 4.

Five meal tickets cost 5(d - 4).

Answer: d. 5(d - 4)

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5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the flo
klasskru [66]

Answer:

5. When the dome is 50 feet high, the distance from the center is 5 feet

6. The equation that model the price y of an x-mile long ride is given as follows;

y = 0.1×x + $3.00

7. The discriminant is < 0; The equation has no real root

8. f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Step-by-step explanation:

5. The given equation for the shape of the dome is presented as follows;

h = -2·d² + 100

Where;

h = The height of the dome (in feet)

d = The distance from the center

Therefore, we have;

When h = 50, d is found as follows;

h = -2·d² + 100

50 = -2·d² + 100

50 - 100 = -2·d²

-50 = -2·d²

∴ 2·d² = 50

d² = 50/2 = 25

d = √25 = 5 feet

Therefore when the dome is 50 feet high, the distance from the center is 5 feet

6. The given rate the cab charges per mile, x = $0.10

The rate the cab charges as flat fee = $3.00

Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,

Where;

m = the slope or rate which in this case = $0.1/hour

c = A constant term which in this case = $3.00

Therefore

y = 0.1×x + $3.00

The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00

7. The discriminant, b² - 4·a·c  of the quadratic equation is (-4)² - 4×3×6 = -56

which is < 0, the equation has no real root

8. Given f(x) = 7·x² + 5

f(3) = 7 × (3)² + 5 = 68

f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;

Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;

f(x) - 4= 7·x + 3

f(x) = 7·x + 3 + 4

f(x) = 7·x + 7

The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

4 0
3 years ago
Help me pls I need this by today
asambeis [7]

Answer: r=0.4 its a guess but i dont think thats a negitive slope it looks positive so :P

Step-by-step explanation:

4 0
3 years ago
There is 6/8 of a cake leftover after a birthday party. How many 1/4 pieces can be made out of the leftover cake?
ikadub [295]

3/4 because if you make it smaller you would get that

4 0
3 years ago
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The perimeter of the figure to the right, made up of identical squares, is equal to 56 cm. What is the area of the figure?
Mamont248 [21]

The area of the square will be 196cm².

<h3>How to calculate the area?</h3>

It should be noted that the perimeter of a square is the addition of all its sides. Therefore, the length of the side will be:

= 56/4

= 14

Therefore, the area of the figure will be:

= 14²

= 14 × 14

= 196cm²

Learn more about area on:

brainly.com/question/25292087

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4 0
2 years ago
От
enot [183]

Answer:

2.75 miles, 14520 feet

Step-by-step explanation:

11 miles/4=2.75

1 mile=5280 feet

2.75 miles=14520 feet

6 0
3 years ago
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