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lisov135 [29]
3 years ago
9

Hector's service club is raising money by wrapping presents in the mall. The function f\left(x\right)=3xf(x)=3x describes the am

ount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. What does f\left(658\right)f(658)?
Mathematics
1 answer:
mestny [16]3 years ago
7 0

Given:

The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.

f(x)=3x

To find:

The f(658).

Solution:

We have,

f(x)=3x

Substitute x=658 to find the value of f(658).

f(658)=3(658)

f(658)=1974

It means, the club will earn $1974 for wrapping 658 presents.

Therefore, f(658)=1974.

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3 years ago
A store allows customers to fill their own bags of candy. Troy decides he only wants chocolate-covered pretzels and gumdrops. Ch
kobusy [5.1K]

Answer: He bought 0.5 pounds of chocolate-covered pretzels and 1.3 pounds of gumdrops.

Step-by-step explanation:

Let Troy bought x pounds of chocolate-covered pretzels and y pounds of gumdrops.

Since, the total pounds he bought = 1.8 pounds,

That is, x + y = 1.8  ------------(1)

Also, he total spent total 1.29 dollars in which Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound.

That is, 0.89 x + 0.65 y = 1.29  -----------(2),

0.89 x × Equation(1),

We get,

0.89 x + 0.89 y = 1.602  ------------(3)

Equation(2)-equation(3),

We get, 0.24 y = 0.312 ⇒ y = 1.3

By Substituting this value in equation (1),

x = 1.8 -1.3 ⇒ x = 0.5

Thus, he bought chocolate-covered pretzels, x = 0.5 pounds,

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8 0
3 years ago
I need help on this question
vodka [1.7K]

Answer

Arc EF = 52°

Arc HD = 142°

Angle HGF = 128°

Explanation

To solve for the unknown angles, we need to first solve for x

To do that, we need to first note that the sum of angles on a straight line is 180°

So,

Angle HCG + Angle HCD = 180° (Sum of angles on a straight line)

Angle HCG = 2x

Angle HCD = 6x + 28°

Angle HCG + Angle HCD = 180°

2x + 6x + 28° = 180°

8x + 28° = 180°

8x = 180° - 28°

8x = 152°

Divide both sides by 8

(8x/8) = (152°/8)

x = 19°

Angle HCG = 2x = 2 (19°) = 38°

Angle HCD = 6x + 28° = 6(19°) + 28° = 142°

So, we can solve for the rest now

Arc EF = Angle ECF

= 90° - Angle ECD

Angle ECD = Angle HCG = 38° (Vertically opposite angles are equal)

Arc EF = Angle ECF

= 90° - Angle ECD

= 90° - 38°

= 52°

Arc HD = Angle HCD = 142°

Angle HGF = Angle HCG + Angle GCF = 38° + 90° = 128°

Hope this Helps!!!

6 0
1 year ago
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