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3 years ago

9.72÷9 ___________________

Mathematics

2 answers:

goldenfox [79]3 years ago

8 0

Answer:

1.08

9.72 / 9 = 1.08

KIM [24]3 years ago

5 0

Answer:

1.08

Step-by-step explanation:

9.72÷9 = 1.08

.........................

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A’s DJ service charges a $200 setup fee and $75 an hour after that.

Bogdan [553]

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

$y=200+75x$ .... (1)

Let Y represent the cost for B's DJ service.

$y=125x$ .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

$125x= 200+75x$

$125x-75x=200$

$50x=200$

$x=4$

$y=125\times 4 =500$

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

$-y = -125x$ .... Equation (3).

Add euation (1) and equation (3)

$y+(-y) = 200+75x-125x$

$0=200-50x$

$50x=200, x=4$

$y=500$

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

$y=200+(75\times 2) = 350$

For x = 2, equation (2)

$y= 125\times 2 =250$

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

$y=200+(75\times 6) =650$

For x= 6, equation (2)

$y=125\times 6=750$

For 6 hours, DJ A would be better option since it charges $650 for 6 hours.

8 0

3 years ago

An investment of $6,599.20 earns 4.2% interest compounded monthly over 7 years. Approximately how much interest is earned on the

dmitriy555 [2]

Fv=6599.20(1+0.042/12)^12*7
Fv=8850.20
Interest earned=8850.20-6599.20
=2,251
So the answer is a

4 0

3 years ago

Read 2 more answers

Karen has 216 role-playing game cards. His goal is to collect all 15 sets of cards. There are 72 cards in a set. How many cards

Nimfa-mama [501]

He needs 864 more cards

4 0

3 years ago

If 140 people were surveyed, how many preferred crab?

Cloud [144]

If 140 people were surveyed, from the given table, the number of people that preferred crab is; 42

<h3>How to work with percentages?</h3>

We are given;

Total sample size; n = 140

Now, from the table we see the percentages that preffered each seafood.

Percentage that preferred Shrimp = 24%

Percentage that preferred Crab = 30%

Percentage that preferred Fish = 36%

Percentage that preferred Neither = 10%

Thus;

Number that preferred Crab = 30% * 140

Number that preferred Crab = 42 people

Read more about Percentages at; brainly.com/question/843074

5 0

2 years ago

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? Round answer t

r-ruslan [8.4K]

Answer: Tthe tower is 129 feet tall.

Step-by-step explanation:

According to trigonometry in a right triangle:

$\tan\theta =\dfrac{\text{Side opposite to }\theta}{\text{Side adjacent to }\theta}$

Let x be the height of the tower.

Given , $\theta=65^{\circ}$

Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.

$\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}$

Hence, the tower is 129 feet tall.

3 0

3 years ago

9.72÷9 ___________________​

9.72÷9 ___________________