Robert can paint a room in 6 hours. Julio can paint a room in 8 hours.how long will it take for the two of them to paint a room together?

Answers

Answer 1
Answer:
Robert paints  1/6  of a room in an hour.
Julio paints  1/8  of a room in an hour.
Working together, they can paint (1/6 + 1/8) room/hour =

                                                (4/24 + 3/24) room/hour =

                                                      7/24 of a room per hour.

7/24 of a room per hour means

                                 24 hours / 7 rooms  = 

                                     (24 / 7) (hour/room) =   (3 and 3/7) hour per room.


Answer 2
Answer: 1/6+1/8=1/x
1/6*(6*8*x)+1/8(6*8*x)=1/x(6*8*x)
8x+6x=48
14x=48
divide each by 14
x=48/14
x= 3.43 roughly


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Mrs.Jacobsen purchased a 5-pound package of ground beef for $12.40. She decided to use 8 ounces each day for dinner recipes. What was the cost of ground beef per meal?

Answers

First, convert the 5lb figure to ounces. There are 16oz in 1lb, so in 5lb there are 80oz (16 x 5). This means you can get 80oz for $12.40. 8oz is ten times smaller than 80z, so divide the cost by ten also. 8oz = $1.24.

Final answer:

The cost of ground beef per meal is $1.24.

Explanation:

To find the cost of ground beef per meal, we first need to convert the total weight of the package from pounds to ounces. Since there are 16 ounces in a pound, a 5-pound package of ground beef is equal to 80 ounces. Next, we divide the cost of the package ($12.40) by the total number of ounces (80) to find the cost per ounce.

This calculation gives us $0.155 per ounce. Finally, since Mrs. Jacobsen is using 8 ounces each day for dinner recipes, we multiply the cost per ounce ($0.155) by the number of ounces used per meal (8) to find the cost of ground beef per meal. The cost of ground beef per meal is $1.24.

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Let L1 be the line passing through the points Q1=(−1, 5, 2) and Q2=(−2, 7, 3) and let L2 be the line passing through the point P1=(−8, 4, 9) with direction vector →d=[−6, 3, 6]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.

Answers

Answer:

yes they intersect

point of intersection is (-17.6,38.2,18.6)

Step-by-step explanation:

the direction vector for L2 is given but for L1 it is not given.

Let's first find the direction vector for the L1 as;

from points Q1 and Q2 we can find the direction vector by subtracting there corresponding coordinates (x,y,z) as;

-1-(-2), 5-7, 2-3

direction vector for L1= [1,-2,-1]k

Now the equation for L1 is;

x1=-2+k

y1=7-2k

z1=3-k

direction vector for L2 is =[−6, 3, 6]T

So the equation for the L2 is;

x2=-8-6T

y2=4+3T

z2=9+6T

If these points are intersecting then there x coordinates must be equal, y coordinates must be equal and z coordinates must also be equal as;

x1=x2; y1=y2; z1=z2;

-2+k=-8-6T.......(a)

7-2k=4+3T.......(b)

3-k=9+6T.........(c)

subtracting (a) and (c) we get

-2+k=-8-6T

-( 3-k=9+6T)

______________

-5+2k=-17-12T.......(d)

adding (b) and (d) we get

7-2k=4+3T

-5+2k=-17-12T

______________

-2=13-9T

T=1.6 putting in (a) we get k as;

-2+k=-8-6(1.6)

k=-15.6

putting T and k, if it satisfy the equation then they intersect

(c)=3-(-15.6)=9+6(1.6)

18.6=18.6 satisfied.

thus they intersect each other and their point of intersection is

x=-2-15.6

x=-17.6

y=7-2(-15.6)

y=38.2

z=3-(-15.6)

z=18.6

point of intersection is (-17.6,38.2,18.6)

The product of 9 and a number is 12 less than three times that number.What is the number?


Giving 20 Points....

Answers

9n = 3n-12
-3n= -3n   
6n= -12
 divide by 6 = -2 =n 

to check.. 9 times -2 = -18 soo.. 3 times -2= -6-12= -18 

so it is correct!! 
 
hope it helps :) 

Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer? 5.5w + 3.25 = 27.5 5.5w - 3.25 = 27.5 5.5w = 27.5 5.5 - 3.25w = 27.5

Answers

Answer:

\$5.50w=\$27.50

Step-by-step explanation:

We know that Chad charges $5.50 per window washed, and he deducts $3.25 from the total cost if the costumer provides the supplies. However, in this case, the costumer doesn't provide the supplies, so Chad will charge $5.50 per window.

This relation can be expressed as

\$5.50w

Where w represents windows.

If he charges $27.50, the relation is

\$5.50w=\$27.50

Therefore, the right answer is the third choice \$5.50w=\$27.50

If you want to find the number of windows Chad washed, you just have to solve the expression

\$5.50w=\$27.50\nw=(\$27.50)/(\$5.50)\n w=5

Chad washed 5 windows.

3.25w=27.5 is the correct answer.

The height of an object after it is released can be modeled by the function f(t)=-16t^2+vt+s, where t is the number of seconds after the object is released, v is the upward speed at release, and s is the starting height. If a quarterback throws a ball from his hand 6 feet in the air at a speed of 25 feet per second, how much time does his teammate have to catch the ball?about 1.45 seconds
about 1.77 seconds
about 6 seconds
about 25 seconds

Answers

Answer about 1.77 seconds.

f(t) = -16 t^2 + 25t + 6

f(t) = height.

hieght = 0 = -16t^2 + 25t + 6

Find t using the quadratic formula,

t = ( - 25 +/- √[25^2 - 4 (-16)(6)] ) / [2*(-16)]

t = [-25 +/- √ (625 + 384) ] / -32

t = [-25 +/- 31.76] / -32.

You will obtain two results one positive and one negative. Take the positive only as the other one has no physical meaning. t = 1.77 s.

B.) about 1.77 seconds

The sum of two numbers is 35. twice the first number is equal to 5 times the second number. find the two numbers

Answers

label your numbers (I'm picking x and y)
x+y=35
2x=5y
find the relationship between your numbers
x=35-y
apply this to the other equation
2 (35-y)=5y
now simplify to find y
70-2y=5y
70=7y
y=70/7=10
now apply your newly found y to find x
x+10=35
x=25
check your answers
2 (25)=5 (10)
50=50
so our first number x is 25 and our second number y is 10