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olchik [2.2K]
4 years ago
14

Q1.

Mathematics
1 answer:
Alinara [238K]4 years ago
8 0

Answer:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

Step-by-step explanation:

In order to find the smallest number of units that would be possible to buy, find the least common multiple between the number of units in each box:

12\ \ 10\ \ 6\ |2\\6\ \ \ \ 5\ \ \ 3\ |2\\3\ \ \ \ 5\ \ \ 3\ |3\\1\ \ \ \ 5\ \ \ 1\ |5\\1\ \ \ \ 1\ \ \ 1\ | = 2*2*3*5=60

The number of boxes required for each item to get 60 units is:

d=\frac{60}{12} = 5\ boxes \\p=\frac{60}{10} = 6\ boxes \\r=\frac{60}{6} = 10\ boxes

the smallest number of boxes of each item he could buy is:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

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After 1 year, $800 deposited in a savings account with simple interest had earned $64 in
stepan [7]

Answer:

8%

Step-by-step explanation:

We will use the equation provided to solve this problem.

I=Prt

Lets plug in the values:

64=800x(1)     First, divide both sides by 800.

.08=x(1)         Multiply x by 1

x = .08

Now, we multiply .08 by 100 to get our interest rate:

(.08)100 = 8

The interest rate is 8%

7 0
3 years ago
The student council is selling tickets to a school dance. One teacher decides to pay $10 for his class, and the students in the
Lostsunrise [7]

Hi,

x + y = 350                    (equation 1)

3x + 2y = 950                 (equation 2)


Use Substitution Method

Isolate variable x in equation 1


x = 350 – y                     (equation 3)


Substitute equation 3 into equation 2


3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100


Substitute y = 100 into equation 1


x + 100 = 350

x = 250


Answer: 250 $3 tickets and 100 $2 tickets were sold.


8 0
3 years ago
Show you work! Giving lots of points for great explained answer!
Alja [10]

Answer:

If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.

Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of  flour.

1 3/4 can be rewritten as an improper fraction- 7/4.

3 1/2 can also be rewritten as an improper fraction- 7/2.

Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.

This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs  a lot more than that.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Which is a perfect square? <br>A 20 <br>B 21 <br>C 24<br>D 25​
LenaWriter [7]
25

Square root of 25 is 5
8 0
3 years ago
Is 4x + the square root of y = 12 a linear function
ivolga24 [154]
I wouldn't say so, as if you rearrange that equation you get sqr root y = 12 - 4x. Then you square everything to get the value of y so you would end up with 144 - 16x^2.
Therefore, the x value has a power, so it would be a curved line
3 0
3 years ago
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