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yulyashka [42]
3 years ago
9

ASAP!!!!!! A tour boat left the dock and traveled west at an average speed of 10 mph. A smaller fishing boat left some time late

r traveling in the same direction but at an average speed of 12 mph. After traveling for 10 hours, the fishing boat caught up to the tour boat. The tour boat left _______ hours earlier than the fishing boat. A. 11 B. 10 C. 2 D. 18
Mathematics
2 answers:
Vlada [557]3 years ago
6 0
C. 2
2x10 = 20 +10x10=100 100+20= 120
12x10=120

C. is the answer.
Lubov Fominskaja [6]3 years ago
5 0

Answer:

Step-by-step explanation:

the answer is 2. i took the test

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Janet worked 3 hours more than David and 7 hours less than Kate. David earned $7.50 per hour, Janet earned $6 per hour, and Kate
grandymaker [24]

We want to write and solve a system of equations to see how much each person earns.

What each one earned is:

  • Janet = $78
  • Kate =  $180
  • David = $75

Let's define:

  • J = number of hours that Janet worked.
  • D = number of hours that David worked.
  • K = number of hours that Kate worked.

The information is:

<em>"Janet worked 3 hours more than David and 7 hours less than Kate"</em>

From this we can write:

J = D + 3

J = K - 7

We know that:

  • David earned $7.50 per hour.
  • Janet earned $6 per hour.
  • Kate earned $9 per hour.

Finally, we know that Kate earned $27 more than David an Janet combined, then we can write:

$9*K = $27 + ($7.50)*D + $6*J

Then we have a system of equations:

J = D + 3

J = K - 7

$9*K = $27 + ($7.50)*D + $6*J

We can rewrite the first and second equations to get:

D = J - 3

K = J + 7

Now we can replace these two in the other equation to get:

$9*(J + 7) = $27 + ($7.50)*(J - 3)+ $6*J

Now we can solve this for J:

$9*J + $63 = $27 + $7.50*J - $22.50 + $6*J

$9*J - $7.50*J - $6*J = $27 - $63 - $22.50

-$4.50*J = -$58.60

J = (-$58.60)/(-$4.50) = 13

This means that Janet worked for 13 hours.

And with:

K = J + 7 = 13 + 7 = 20

D = J - 3 = 13 - 3 = 10

We can see that Kate worked for 20 hours and David for 10 hours.

Then each one of them earned:

Janet = 13*$6 = $78

Kate = 20*$9 = $180

David = 10*$7.50 = $75

If you want to learn more, you can read:

brainly.com/question/9351049

5 0
2 years ago
Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.
zavuch27 [327]

Answer:

The smallest power of 10 that will exceed M is 10^{6}.

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

x.y \times 10^{n}, \forall \,x,y\in \mathbb{N}

Where:

x - Integer part, formed by a digit, which is of the highest order.

y - Decimal part, formed by a digit onwards.

n - Power grade.

The smallest power of 10 that will exceed M is 10^{n+1}

If M = 118,526.65902, then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of M in scientific notation is:

M = 1.1852665902\times 10^{5}

Then, the smallest power of 10 that will exceed M is 10^{6}.

5 0
3 years ago
A combined total of $46,000 is invested in two bonds that pay 4% and
valkas [14]


Answer: 4%-16000 and 9.5%-30000

Why:

1) x+y=46000

x=46000-y

2) 4%x+9,5%y=3490;

4x + 9.5y=349000; so 4*(46000-y)+9.5y=349000;

5.5y=165000

y=30000

x=46000-30000=16000


5 0
3 years ago
1. A company uses a computer to identify their 600 most loyal customers
Rasek [7]

Answer:

A blood bank needs 6 people to help with a blood drive. 11 people have volunteered. Find how many different groups of 6 can be formed from the 11 volunteers.

Step-by-step explanation:

A blood bank needs 6 people to help with a blood drive. 11 people have volunteered. Find how many different groups of 6 can be formed from the 11 volunteers.

6 0
3 years ago
Troy received a gift of 100 shares of stock from his grandmother on July 1 of the current year. Troy's grandmother had owned the
kumpel [21]

Troy has a basis of $39 per share

total value of shares is $3900

Step-by-step explanation:

On July 1, the date of the gift, the stock was selling for $39 per share.

Troy's basis in the stock  = current value of shares

No need to consider the base rate which is in 15 years ago

The current rate of 100 shares =  $39 × 100 =  $3900

Troy has a basis of $39 per share

total value of shares is $3900

4 0
3 years ago
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