MATHEMATICS HIGH SCHOOL

Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes. If they work together, how many minutes does it take them to line a football field?a. 40 minutes
b. 80 minutes
c. 200 minutes
d. 240 minutes HELP?!

Answers

Answer 1
Answer:

Answer:

If they work together, they take 48 minutes to line the football field.

Step-by-step explanation:

Given: Reggie can line a football field in 120 minutes.  Rosalinda can line a football field in 80 minutes.  

To find : If they work together, how many minutes does it take them to line a football field?

Solution :

If they work together,

Let the number of minutes(x) they take to line the foot ball field.

According to question,

(1)/(x)=(1)/(120)+(1)/(80)

(1)/(x)=(80+120)/(120* 80)

(1)/(x)=(200)/(120* 80)

Cross multiply,

x=(120* 80)/(200)

x=12* 4

x=48

Therefore, If they work together, they take 48 minutes to line the football field.

Answer 2
Answer:

Answer:  If they work together, they can line a football field in 48 minutes.

Step-by-step explanation:  Given that Reggie can line a football field in 120 minutes and Rosalinda can line a football field in 80 minutes.

We are to find the number of minutes does it take them to line a football field if they work together.

We have

Time taken by Reggie to line a football field = 120 minutes.

So, in 1 minute, Reggie can line (1)/(120) part of the field.

Time taken by Rosalinda to line a football field = 80 minutes.

So, in 1 minute, Rosalinda can line (1)/(80) part of the field.

Therefore, if they work together, the portion of the football field that they can lie in 1 minute is given by

(1)/(120)+(1)/(80)\n\n\n=(2+3)/(240)\n\n\n=(5)/(240)\n\n\n=(1)/(48)

Thus, if they work together, they can line a football field in 48 minutes.

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Which two numbers add up to 6 and muliply to -126

Answers

xy=-126
x+y=6
minus x

y=6-x
sub
x(6-x)=-126
6x-x^2=-126
minus (6x-x^2) both sides
0=x^2-6x-126

in form
ax^2+bx+c=0
x=\frac{ -b+/-\sqrt{b^(2)-4ac} }{2a}

a=1
b=-6
c=-126

x=\frac{ -(-6)+/-\sqrt{(-6)^(2)-4(1)(-126)} }{2(1)}
x=( 6+/-√(36+504) )/(2)
x=( 6+/-√(540) )/(2)
x=( 6+/-6√(150) )/(2)
x=3+/-3√(150)


the numbers are
3+3√(150) and 3-3√(150)

Please help me solve this question.

Answers

Cut the sign in half across its middle.  Then you have two right triangles.
They're congruent, so pick one to work with, and discard the other one
temporarily.

In the right triangle:

-- The length of one leg is 'x'.
-- The length of the other leg is (2x + 7).
-- The length of the hypotenuse is  35.47 inches.

You know that in any right triangle:

(The square of the hypotenuse) =
                     (the square of one leg) + (the square of the other one.)

so you can use that to find the value of 'x'.

One you know the value of 'x', go back to the whole sign before you cut it
in half, and notice that the height of the sign is '2x' ... which is the answer.
height =2x so we must find x then multiply by 2

if we cut the triangle in half from with the line from left to right, we have a trianlgle that is x high and 2x+7 wide and the hyposonuse that is 35.47 so
a^2+b^2=c^2
x^2+(2x+7)^2=35.47^2
x^2+4x^2+28x+49=1258.12
group like terms
5x^2+28x+49=1258.12
subtract 1258.12 from both sides
5x^2+28x-1209.12=0
factor 5(x-13.0008)(x+18.6008)=0
therefore
(x-13.0008) or/and (x+18.6008)=0
x-13.0008=0
add 13.0008 to both sides
x=13.0008

x+18.6008=0
subtract 18.6008 from both sides
x=-18.6008
since heights cannot be negative, this solution can be discarded

so x=13.0008
2x=height=26.0016

Eric has seventeen candy bars, he gives Debra five. How many candy bars does Eric have now?

Answers

17-5=12
So Eric has 12 candy bars

Two triangles that have the same side lengths will always be congruent.A. True
B. False

Answers

True, this is in accordance to the side-side-side postulate.

Kevin is looking at two brands of washing machines. Between water and electricity, a Brand C washer uses about $0.65 per load, and a Brand D washer uses about $0.27 per load. Kevin averages about five loads of laundry per month. After one year, how much more would the utility costs for a Brand C washer be than the utility costs for a Brand D washer?a.
$22.80
b.
$16.20
c.
$7.60
d.
$19.00

Answers

Answer:

a.  $22.80

Step-by-step explanation:

Given :

Brand C washer uses about $0.65 per load

Brand D washer uses about $0.27 per load

Kevin averages about five loads of laundry per month.

To Find :how much more would the utility costs for a Brand C washer be than the utility costs for a Brand D washer after one year?

Solution :

The utility cost of Brand C washer  per load = $0.65

Since she uses 5 loads per month

So, she uses loads in 12 months(=1year) = 5*12 =60 loads

Now cost of 60 loads is 60*0.65 = $39

Thus the utility cost of Brand C for 1 year is $39

The utility cost of Brand D washer  per load = $0.27

Since she uses 5 loads per month

So, she uses loads in 12 months(=1year) = 5*12 =60 loads

Now cost of 60 loads is 60*0.27 = $16.2

Thus the utility cost of Brand D for 1 year is $16.2

The difference between their 1 year costs = $39-$16.2 = $22.8

Thus the utility costs for a Brand C washer will be $22.8 more than the utility costs for a Brand D washer.

Hence Option A is correct.
The correct answer is A. $22.80.

Find three consecutive numbers whose sum is 138 by writing and solving an equation

Answers

Your 3 variables in this equation would be:
x
x+1
x+2
as you need these numbers to be consecutive. Because it is asking for the sum, you need to add these three variables and set them equal to 138:
(x)+(x+1)+(x+2)=138
At this point the parentheses don't matter, so they can be removed:
x+x+1+x+2=138
Combine like terms:
3x+3=138
Subtract the three:
3x=135
Divide 135 by 3:
x=45
Then, plug 45 back into the other two variable equations:
45+1=46
45+2= 47
Your 3 consecutive integers are 45, 46, and 47
x+x+1+x+2=138\n3x+3=138\n3x=135\nx=45\nx+1=46\nx+2=47

Those numbers are 45,46,47.
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