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Tanzania [10]
3 years ago
11

Kim can make 7 cakes in 4 hours. If she continues at this speed how long will it take her to make 56 cakes?

Mathematics
1 answer:
Verizon [17]3 years ago
7 0

Answer:

32 hours

Step-by-step explanation:

You need to make 7 cakes 8 times to get 56 cakes.

if it takes you 4 hours to make 7 cakes and you need to make 7 cakes 8 times then it will take you 32 hours to make 56 cakes because 4 times 8 is 32.

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I think x = 5.25

Step-by-step explanation:

Since they are corresponding angles, they should be congruent.

90 = 16x - 6

84 = 16x

x = 5.25

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A designer creates a model of a building. The model is 63.5 centimeters long. One inch equals 2.54 centimeters.
Yakvenalex [24]

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Step-by-step explanation:

if the model is 63. 5 cm, and 2.54 cm is equivalent to 1 in

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Multiply: (3x – 5)(–x + 4)
LiRa [457]

Answer:

Step-by-step explanation:

(3x – 5)(–x + 4)

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3 years ago
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A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells
Scrat [10]

Answer:

Step-by-step explanation:

Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:

                #lbs     x       $/lb       =         Total

T

K

Mix

Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:

                 #lbs        x        $/lb       =        Total

T                                           9

K                                         13.50

Mix

Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound

                  #lbs      x       $/lb        =        Total

T                                         9

K                                       13.50

Mix              50                 9.54

Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:

                 #lbs       x       $/lb      =      Total

T                   x        x          9         =        9x

K             50 - x      x       13.50     =    675 - 13.50x

Mix            50        x         9.54     =     477

The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:

9x + 675 - 13.5x = 477 and

-4.5x = -198 so

x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.

6 0
3 years ago
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