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irina [24]
2 years ago
7

A construction crew is lengthening a road. The road started with a length of

Mathematics
1 answer:
raketka [301]2 years ago
4 0
L = 4d + 54

after crew worked 33 days...d = 33
L = 4(33) + 54
L = 132 + 54
L = 186...so after 33 days, the crew made a road that measures 186 miles
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Two times a number is equal to the absolute value of the quantity "sixty-three less than five times that number." What could the
ANTONII [103]

Answer:

The number is 21.

Step-by-step explanation:

First you need to solve for n.

So the equation would be 2n = |5n-63|

First you'd subtract 5n from each side, that would give you -3n=|-63|

Then you need to divide each side by -3 to get n=21.

                       ~~~~~

To check, you can just plug 21 back into the equation.

2(21) = |5(21) - 63|

42 = |105-63|

42 = |42|

42 = 42

5 0
2 years ago
Use the method of Gauss to find the sum.1+2+3+.....+400
nikklg [1K]
Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:

1+2+3+4+5+6+7+8+9+10

We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.

Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.

(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.

Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).

So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.

Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved

Hope this helps.
6 0
3 years ago
What is an integer between the square root of 30 and 4*Pi divided by 3
Andru [333]
\sqrt{30}\approx5.5\\
\frac{4\pi}{3}\approx4.2

It's 5.
3 0
3 years ago
What is the measure of ZRVE?<br> 60°<br> 7<br> 8<br> mer<br> R
luda_lava [24]

Answer:

45 degrees

Step-by-step explanation:

180 - 60 - 75 = 45

Angle RVE is the same as angle LVA

3 0
3 years ago
Read 2 more answers
If 8 chairs cost $1,064 what is the cost of 11 chairs​
evablogger [386]
1463 (1064 divided by 8= 133, 133x11)
6 0
3 years ago
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