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wel
3 years ago
6

12x + 3x = ___? Please explain

Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:15x

Step-by-step explanation:you add 12 + 3 which equals 15 and then you just carry the x over

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Taylor and Anya are friends who live 63 miles apart. Sometimes on a Saturday, they ride toward each other's houses on their bike
amid [387]

Answer:

Anya rode at 8.5 miles per hour.

Step-by-step explanation:

We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.

We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.

Let us find distance covered by Taylor.

\text{Distance}=\text{Speed*Time}

\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}

\text{Distance covered by Taylor}=12.5*3\text{ Miles}

\text{Distance covered by Taylor}=37.5\text{ Miles}

Therefore, Taylor covered 37.5 miles in 3 hours.

Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.

\text{Distance covered by Anya in 3 hours}=(63-37.5)\text{ Miles}

\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}

Now let us find speed at which Anya rode bike.

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

\text{Speed at which Anya rode the bike}=\frac{25.5\text{ Miles}}{3\text{ Hour}}

\text{Speed at which Anya rode the bike}=8.5\frac{\text{ Miles}}{\text{ Hour}}

Therefore, Anya rode the bike at the speed of 8.5 miles per hour.

6 0
3 years ago
Find the percent of change. Round to the nearest percent. Original: 85 new: 90
solong [7]

Answer:

= 6% increase in original amount

Step-by-step explanation:

Given that:

Original: 85

new: 90

Difference = 90 - 85 = 5

Now we have to find that;

5 is what percent of 85:

=5/85 * 100

= 5.88%

Rounding off to nearest percent:

= 6% increase in original amount

i hope it will help you!

3 0
3 years ago
These marbles are placed in a bag and two of them are random drawn.
stealth61 [152]

Answer:

Hello!!

These marbles are placed in a bag and two of them are random drawn.

2 yellow, 3 pink & 5 blue.

What is the probability of drawing two pink marbles if the first one is NOT placed back into the bag before the second draw?

The probability of drawing two pink marbles if the first one is not placed back into the bag before the second draw is  \frac{1}{15}

Step-by-step explanation:

there is a total of 10 marbles, 3 are pink

the probability of selecting pink on first draw is  3/10

after the first draw, there are now 9 marbles total and 2 are pink so the probability of selecting pink is 2/9

multiply: \frac{3}{10} x \frac{2}{9} = \frac{6}{90} = \frac{1}{15} simplified

Hope this helps!!

3 0
2 years ago
What is the area of the right triangle shown in the image.
UkoKoshka [18]

Answer:

24 sq. in

Step-by-step explanation:

To find the area of a triangle, you multiply both sides by one another, then divide the product in half.

In this case it would go along the lines of:

6 x 8 = 48

48/2 = 24

And 24 is the desired answer.

3 0
3 years ago
During the World Series the host Citywide Hotel a occupancy Rose 21% over the prior busiest night if the busiest night had been
Natalka [10]

Answer:

The new record was 91.96%.

Step-by-step explanation:

As per the given statement: During the World Series the host Citywide Hotel a occupancy Rose 21% over the prior busiest night if the busiest night had been 76% occupancy.

To find the new record of occupancy.

We will find the 21% of 76% and then added it to 76%.

\text{New record} = \text{old record} + \text{Increase in record}

New record = 76\% +(21\% \times 76\%)

New record = \frac{76}{100} +(\frac{21}{100}\times \frac{76}{100})

New record = 0.76 + (0.21 \times 0.76) = 0.76 + 0.159 = 09196

Convert this decimal number into percentage by just multiplying a number by 100 we get;

New record = 0.9196 \times 100 = 91.96\%

Therefore, the new record was 91.96%


4 0
3 years ago
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