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2 years ago

Your favorite video game just went on sale for 33% off.

Mathematics

1 answer:

abruzzese [7]2 years ago

3 0

Answer:

$40.20

Step-by-step explanation:

60 / 100 = 0.6

0.6 x 33 = 29.8

60 - 29.8 = 40.2

Thus he price after the discount would be $40.20

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Silas had 3 times as much money as Raja. Silas spent $84 of his money to buy a birthday gift for his grandma while Raja was awar

ella [17]

Answer:

Total money they had at first $252.

Step-by-step explanation:

Let,

x be the amount Silas had originally

y be the amount Raja had originally

According to given statement;

x = 3y Eqn 1

x - 84 = y + 42 Eqn 2

Putting x=3y in Eqn 2

3y - 84 = y + 42

3y - y = 42 + 84

2y = 126

Dividing both sides by 2

$\frac{2y}{2}=\frac{126}{2}\\y=63$

Putting y = 63 in Eqn 1

x = 3(63)

x = 189

Total money they originally had = 189 + 63 = $252

Hence,

Total money they had at first $252.

4 0

2 years ago

Two supplementary angles are in the ratio 3 1 : 5 find both angles

Zielflug [23.3K]

The two angles are 155 degrees and 25 degrees

<h3><u>Solution:</u></h3>

Given that two supplementary angles are in ratio 31 : 5

Let the first angle be 31a

Let the second angle be 5a

Two Angles are Supplementary when they add up to 180 degrees.

Therefore,

first angle + second angle = 180 degrees

$31a + 5a = 180\\\\36a = 180\\\\a = \frac{180}{36}\\\\a = 5$

<em><u>Therefore the angles are:</u></em>

first angle = 31a = 31(5) = 155 degrees

second angle = 5a = 5(5) = 25 degrees

Thus the two angles are 155 degrees and 25 degrees

3 0

3 years ago

A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0

1 year ago

Your plan was to be on the road by 9 A.M. but you did not leave the garage until 10 A.M. You then drove with the cruise control

Wittaler [7]

Answer:

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

Step-by-step explanation:

The average speed is given by the following equation:

$v = \frac{d}{t}$

From 10A.M. to noon.

You traveled at 50mph during 2 hours. So how long you traveled?

$50 = \frac{d}{2}$

$d = 50*2$

$d = 100$

You traveled 100 miles.

What was your average speed over the time interval from 9 A.M. to noon

From 9 A.M. to 10 A.M, you did not travel.

From 10 P.M. to noon, 100 miles.

So 100 miles during 3 hours.

$v = \frac{d}{t} = \frac{100}{3} = 33.33$

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

8 0

3 years ago

Does this table represent an exponential function? x 1 2 3 4 y 4 16 64 256

4vir4ik [10]

Answer:

Yes, the given table represent an exponential function.

Step-by-step explanation:

Given table is :

x y

1 4

2 16

3 64

4 256

Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function $y=ab^x$ .

We see that y-values are basically powers of 4 so we can write the related function as $y=4^x$ .

Which is clearly in form of $y=ab^x$ .

Hence yes, the given table represent an exponential function.

6 0

3 years ago