PLEASE HELP!!
(dont steal points pls)

Answer:

Step-by-step explanation:

Given;

[tex]\frac{1}{A} + \frac{1}{B} =\frac{1}{12} \\\\\frac{1}{B} + \frac{1}{C} = \frac{1}{15}\\\\\frac{1}{A} + \frac{1}{C} = \frac{1}{20}\\\\[/tex]

From given equations above;

[tex]\frac{1}{A} +\frac{1}{B} = \frac{1}{12}\\\\But, \frac{1}{B} =\frac{1}{15} -\frac{1}{C}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{C}= \frac{1}{12}\\\\Also, \frac{1}{C} = \frac{1}{20} -\frac{1}{A} \\\\ \frac{1}{A} +\frac{1}{15} -(\frac{1}{20} -\frac{1}{A})= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{20} +\frac{1}{A}= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{A} = \frac{1}{12} +\frac{1}{20}-\frac{1}{15}\\\\\frac{2}{A} = \frac{300+ 180-240}{3600} \\\\\frac{2}{A} =\frac{240}{3600}\\\\[/tex]

[tex]\frac{2}{A} = \frac{1}{15} \\\\A = 30 \ days[/tex]

solve for B;

[tex]\frac{1}{A} + \frac{1}{B} = \frac{1}{12}\\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{A} \\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{30}\\\\ \frac{1}{B} =\frac{5-2}{60} \\\\ \frac{1}{B} =\frac{3}{60}\\\\B = 20 \ days[/tex]

Solve for C;

[tex]\frac{1}{C} =\frac{1}{20} -\frac{1}{A}\\\\ \frac{1}{C} = \frac{1}{20} -\frac{1}{30}\\\\ \frac{1}{C} =\frac{3-2}{60} \\\\ \frac{1}{C} =\frac{1}{60}\\\\C = 60 \ days[/tex]

When they work together;

[tex]\frac{1}{A} +\frac{1}{B} +\frac{1}{C} =\frac{1}{y} \\\\\frac{1}{30} +\frac{1}{20} +\frac{1}{60} = \frac{1}{y}\\\\\frac{2+ 3+ 1}{60} =\frac{1}{y}\\\\\frac{6}{60} =\frac{1}{y}\\\\y = 10\ days[/tex]

Answer:

neither they are both equal

Step-by-step explanation:

Answer: there equal/ the same.

Step-by-step explanation:

Answer:

0.5 hours

Step-by-step explanation:

Given that Tara has covered 0.50 miles and  rides with a speed of 10 miles/hour. Felipe has  covered bike 0.25 miles and rides with a speed of 15  miles/hour.

Tara has covered more distance while the speed of Felipe is more than the speed of Tara.

Assuming that in time t hour, Felipe reaches Tara, then Tara left behind as Felipe has faster speed.

So, after t hour, Felipe will be ahead of Tara and Tara will cover lesser miles than Felipe .

As distance = speed x time, so

So, the distance covered by Tara in [tex]t[/tex] hour = 10t miles and she already has covered 0.5 miles, so total distance covered by Tara [tex]= 0.5+10t[/tex] miles.

Similarly, the distance covered by Felipe in [tex]t[/tex] hour = 15t miles and he already has covered 0.25 miles, so the total distance covered by Tara [tex]= 0.25+15t[/tex] miles.

Therefore, at the time then Felipe reached Tara, both have covered the same distance, i.e

[tex]0.25+15t=0.5+10t \\\\\Rightarrow 15t-10t=0.5-0.25 \\\\\Rightarrow 5t=0.25 \\\\[/tex]

[tex]\Rightarrow t= 0.25/5=0.5[/tex] hour

Hence, after 0.5 hours Tara will cover lesser miles than Felipe .

Answer:

0.5 hours

Step-by-step explanation:

Answer:

ummm there is no chart or multiple choice so imma go off a limb here and say  1/2 mile

hope this helps

sorry if its wrong i had no chart

Step-by-step explanation:

Answer:

2 miles

Step-by-step explanation:

he walks to to maple avenue to meet his friend is a mile,so to continue his walk on maple avenue to the park is another mile.

Answer:

-0.2

Step-by-step explanation:

it's that exact answer , I did not rounded

Answer:

-140

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x + 40x + 40x + 31 = x + 7

85x + 31 = x + 7

Bringing like terms on one side

85x - x = 7 - 31

84x = - 24

x = - 24/84 = 2/7

Answer:

36.40

Step-by-step explanation:

Make a proportion : 35/100 = x/56. 35 times 56= 19.6. 56-19.6= 36.4

Hope this helps!

Answer:

The sales price is $36.40

Answer:

7.5

Step-by-step explanation:

The median is the middle data in a set. To find the median first order the set for least to greatest. In this case, 4,5,6,7,8,10,11,12. Then find the number in the middle, however, because there is an odd number of data you must take the mean of the two middle numbers. The two numbers in the middle are 7 and 8, so to find the mean of these numbers add them then divide by the number of terms, aka 2. (7+8)/2=7.5, therefore the median must be 7.5.

Answer:

1 5/24

Step-by-step explanation:

5/6+3/8

find common denominator: 24

5/6=20/24 3/8=9/24

add:

20/24+9/24=29/24

simplify:

29/24=1 5/24

hopefully this helps :)

Answer:

[tex]\frac{11}{24}[/tex]

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.

Answer:

   (-1,-2)*m-(-1)=0

Step-by-step explanation:

Answer:

18 feet

Step-by-step explanation:

Answer:

1 foot = 0.7 secs

Step-by-step explanation:

14 seconds divided by 20 feet = 0.7 seconds per foot descended.

Hope this helps and good luck :)

Answer:

0.15

Step-by-step explanation:

Using trigonometry :

Tanθ = opposite / Adjacent

Opposite = distance between earth and sun = 238,900

Adjacent = distance between earth and moon = 93,000,000

Tanx = 238900 / 93000000

Tanx = 0.0025688

x = tan^-1 (0.0025688)

= 0.1471820°

Answer:

0.15

Step-by-step explanation:

Took the test.

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1

3-(-2)/ -3-7

5/-10

= -1/2

Answer:

84 cups of chicken broth

Step-by-step explanation:

Ratio of chicken broth to flour = 12 cups : 1 1/4 cups

Mr. Clark used 8 3 /4 cups of flour for his gumbo.

How many cups of chicken broth did he use?

Let x = cups of chicken broth he used

Ratio of chicken broth to flour = x cups : 8 3/4 cups

Equate the ratios

12 cups : 1 1/4 cups = x cups : 8 3/4 cups

12 ÷ 5/4 = x ÷ 35 / 4

12 * 4/5 = x * 4/35

48 / 5 = 4x / 35

Cross product

48 * 35 = 5 * 4x

1,680 = 20x

x = 1,680 / 20

= 84

x = 84 cups

Answer:

a=45 b=65

Step-by-step explanation:

You know that all the angle measures of a triangle add to 180. So the equation would be angle a + angle b + 70 = 180. Subsitute and simplify and you get 16x -2 + 70 = 180. Subtract 70 from 180 to get 16x -2=110 add 2 to get 16x =110. Divide each side by 16 to gte x=7. Subsitute x = 7 into the equations for angle a and angle b to get the answers above

Answer:

Not enought information

Step-by-step explanation:

Maybe put a picture?

Answer:

if an input produces more than one output, the table does not represent a function. In this case, table D is not a function. the x value 0 has three different output values, -1, 4, and 6; the input 2 also has three different output values.

Answer:

Step-by-step explanation:

Sum of angles in triangle equals to 180°

Answer:

distance from the base where string is attached = 18.97 feet

Step-by-step explanation:

The diagram attached to this solution gives a right-angled triangle formed by attaching the string to the top of the mast. the distance from the base is calculated as follows:

(hypotenuse)² = (opposite)² + (adjacent)²

23² = 13² + d²

529 = 169 + d²

d² = 529 - 169

d² = 360

d = √(360)

d = 18.97 feet

Answer:b

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]\frac{15}{r} =\frac{15}{5}=3[/tex]