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3 years ago

7

Mathematics

1 answer:

madreJ [45]3 years ago

7 0

Answer:

72 pounds of water.

Step-by-step explanation:

60% of 120= 72.

120 x 60% = 72

I hope this answer helps! :D

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To reach a vacation spot, the Jones family first traveled by plane and then drove the

navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the distance by plane.

y = x - 125 => x=y+125 Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500 Eqn 2

Putting value of x from Eqn 1;

$(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625$

Putting y=625 in Eqn 1

$x=625+125\\x=750$

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

3 years ago

If the formula pictured below is used to find the mean of the following sample, what is the value of N?

Pie

Answer:

Choice D). 8

Step-by-step explanation:

The value on n is simply the number of values or the size of the sample data. In our case, we have a total of 8 data values. The value of n will thus be 8

8 0

3 years ago

Read 2 more answers

How to model 4÷2/3??

stealth61 [152]

Answer:

We have 4 x ( 3 / 2 ) = 12 / 2 = 6;

Step-by-step explanation:

4 0

3 years ago

Round each factor to the nearest ten to estimate the product of 34 . 39

aev [14]

Answer:

Round 34 down to 30 then round 39 up to 40

Step-by-step explanation:

34 ⟶ 30 34 is rounded down to 30

39 ⟶ 40 39 rounded up to 40

34 ⟶ 30

39 ⟶ 40

34 is rounded down to 30

39 rounded up to 40

Calculate mentally 34 × 39 = 1326

The estimated product is 1326.

3 0

2 years ago