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Ket [755]
3 years ago
14

If Mark uses 3 3/4 tablespoons of coffee to make 10 cups of coffee, how much would he need to make one cup of coffee?

Mathematics
2 answers:
Leya [2.2K]3 years ago
7 0

Answer:

3 3/4 tablespoons of coffee to make 10 cups of coffee

 

3 3/4 =15/4

 

10 cups require 15/4 tablespoon of coffee

1 cup require how much

 

15/4 divide by 10

 

15/4 ÷ 10

=15/4 * 1/10

=15/40

=3/8  tablespoon of coffee for 1 cup of coffee

Eva8 [605]3 years ago
6 0

Answer:

3/8 Tablespoon per cup

Step-by-step explanation:

Our unit rate here is

3  3/4 Tablespoons

-----------------------------

    10 cups coffee

Converting 3  3/4 to an improper fraction, we get 15/4 Tablespoons:

15/4 Tablespoons          15

---------------------------  =  -------- Tablespoons/cup

 10 cups coffee              40

Reduce this by dividing numerator and denominator both by 5:

3/8 Tablespoon per cup

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Deshawn is serving ice cream with the birthday cake at his party.He has purchased 19 1/2 pints of ice cream. He will serve 3/4 o
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26 and no there will not be any left
8 0
3 years ago
This is a System Of Equations and I'd like it to get solved by the Elimination or Substitution Method.x+2y=83x+5y=8
Sonbull [250]

Answer:

x=133 y=-25

Step-by-step explanation:

I'll do both ways for you. So let's start with Substitution:

With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.

x + 2y = 83    &    x + 5y = 8

Solve for x.

x = 83 - 2y     &    x = 8 - 5y

Once you have solved for x, set each equation equal to one another and solve for y now.

83 - 2y = 8 - 5y

Isolate all variables to one side:

83 = 8 - 3y

Now subtract the 8 to fully isolate the y variable:

75 = -3y

Divide by -3:

-25 = y   Now that you have your first variable, plug it into one of the original equations and solve for x.

x + 2(-25) = 83

x - 50 = 83

x = 133

Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:

Put each equation on top of one another and subtract:

  x + 2y = 83

- (x + 5y = 8)

The x's will cancel out:

(x - x) + (2y - 5y) = (83 - 8)

Simplify:

-3y = 75

Solve for y

y = -25

Then, plug y = -25 into one of the original equations:

x + 5(-25) = 8

Solve for x:

x - 125 = 8

x = 133

Hope this helps!

8 0
2 years ago
An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach
Alexeev081 [22]

Answer:

h(x) = -16x² + 192x + 208

784ft

6 sec

13 sec

Step-by-step explanation:

a)

h(x) = -16x² +vx + h_{o}

here v represent velocity

         h_{o} represent initial height of launch

       

h(x) = -16x² + 192x + 208

b)

h(x) = -16x² + 192x + 208

here a = -16

        b = 192

        c = 208

x = -b/2a

  = -192/2(-16)

  = 6

plug this value in the equation

h(x) = -16(6)² + 192(6) + 208

      = 784ft

e)

Plug h(x)=0 in the equation

0 = -16x² + 192x + 208

divide equation by -16

x² - 12x - 13 = 0

Factors

1x * -13x = -13

1x - 13x = -12

Factorised form

x² - 12x - 13 = 0

x² + x - 13x - 13 = 0

x(x+1) -13(x+1) = 0

(x+1)(x-13) = 0

x = -1

x = 13

Since time can not be negative so we will reject x = -1  

3 0
3 years ago
Convert 50 feet per second to miles per hour. 5280 ft = 1 mi Round to the nearest hundredth.
alexandr1967 [171]
Sent a picture of the solution to the problem (s).

4 0
3 years ago
What's the slope (-4,15). (20,3)
docker41 [41]

Answer:

M=-1/2

Step-by-step explanation:

8 0
3 years ago
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