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never [62]
3 years ago
14

Brian buys 5 cookies and 1 bottle of water. The total cost is $8.75. If the bottle of water costs $1.25, which equation can be u

sed to determine the cost of 1 cookie?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer: $1.50/cookie

Step-by-step explanation:

Cookies = x

Water = y

5x + y = $8.75

y = 1.25

Plug in y-value into equation:

5x +1.25 = 8.75

5x = 8.75 - 1.25

5x = 7.50

x = 7.50/5

x = $1.50 for 1 cookie.

You might be interested in
The number 879 rounded to the nearest hundred would be 800.
Inessa [10]
It would be false because 879 will be rounded up to 880 or 900.
6 0
3 years ago
An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One o
cestrela7 [59]

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base = 9 inches,

The width of the base =6 inches, and

The height of the exhibit = 3(17) = 51 inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

A=2(w l+h l+h w)

By substituting the values, we get

A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.

The surface area of the exhibit is 1,638 cubic inches.

4 0
3 years ago
Martinus Kupier set a record when he ice skated for 24 h at an average of 14.2 mph. How far did he skate?
kow [346]

Martinus Kupier skate a distance of 340.8 miles, at an avarage of 14.2 mph for 24 hours

Step-by-step explanation:

         The given is,

                Martinus Kupier skated for 24 hours at an average rate of 14.2 mph

Step:1

       From the given the time and average rate is obtained,

       Time = 24 hours

       average rate = 14.2 mph

Step:2

       To find the total length of skated at 24 hours

            Length = Average rate × Time

                          = 14.2 × 24

                          = 340.8

             Length = 340.8 miles

Result:

      Martinus Kupier skated a distance of 340.8 miles at an average rate of 14.2 mph for 24 hours.

5 0
3 years ago
A multiple-choice test has 30 questions and each one has five possible answers, of which only one is correct. If all answers wer
kumpel [21]

Answer: the probability is 0.13

Step-by-step explanation:

First, each question has 5 options and only one is correct.

Then, selecting at random, the probability of getting a correct answer is equal to:

p = 1/5 = 0.20 (and the probability of getting it incorrect is p = 4/5 = 0.80)

Now, if out of 30 questions, we got 4 correct and 26 incorrect, the probability for a given combination is;

p = (0.20^4)*(0.80^26)

But we also need to multiply this by the total number of combinations.

This is we have 30 questions in total, and we can select 4 of them that will be the correct ones.

Now, if we have N objects in total, the number of different combinations of K elements out of those N elements is

C = \frac{N!}{(N-K)!*K!}

In this case, N = 30 and K = 4.

C = \frac{30!}{(30 -4)!*4!} = \frac{30*29*28*27}{4*3*2}  = 27,405

Then the probability of getting exactly 4 correct answers is:

P = (0.20^4)*(0.80^26)*27,405 = 0.13

5 0
3 years ago
A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee b
padilas [110]

Answer:

Rift =37.92 pounds

Terraza=2.08 pounds

4 0
3 years ago
Read 2 more answers
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