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anzhelika [568]
3 years ago
14

Plastic cups come in packages of 24 and straws come in packages of 20, whats the smallest number of each that could be bought so

that you had the same amount of cups and straws? 200 240 120 480
Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

120

Step-by-step explanation:

No. of plastic cups = 24

No. of straws =20

We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.

Prime factrisation of 24 = 2×3×2×2

Prime factorisation of 20 = 2×5×2

LCM = 120

Hence, the smallest number of each type will be 120.

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strojnjashka [21]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
??Which is the following recursive formula???
g100num [7]
A1=2*5^(1-1)
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6 0
3 years ago
2/5 + (5^2-10) / 5^2
Vadim26 [7]

\bf \cfrac{2}{5}+\cfrac{5^2-10}{5^2}\implies \cfrac{2}{5}+\cfrac{~~\begin{matrix} 5^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 5^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}-\cfrac{10}{5^2}\implies \cfrac{2}{5}+1-\cfrac{10}{25}\implies \cfrac{2}{5}+1-\cfrac{2}{5}\implies 1

4 0
3 years ago
What is 3 1/8 x 2 3/5
Lisa [10]

Answer:

8\frac{1}{8}

Step-by-step explanation:

3\frac{1}{8} \times 2 \frac{3}{5}

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=\frac{25\times13}{8\times5}

=\frac{325}{40}

=\frac{325/5}{40/5}

=\frac{65}{8}

=8\frac{1}{8}

Hope this helps :)

3 0
3 years ago
Convert the following measurements.
stepan [7]
1) Convert the following measurements.
<span>a. 2 cubic yards to cubic feet
1 cubic yard-------- > 27 cubic feet
2---------------------- X
x=2*27=54 cubic feet

</span><span>b. 135 cubic feet to cubic yards
</span>1 cubic yard-------- > 27 cubic feet
x----------------------- 135
x=135/27=5 cubic yard

c. 6,912 cubic feet to cubic inches
1 cubic feet--------------- > 1728 cubic inches
6912 cubic feet------------- x
x=11943936 cubic inches

<span>d. 279,936 cubic inches to cubic feet
</span>1 cubic feet--------------- > 1728 cubic inches
x------------------------------ 279,936 cubic inches
x=162 cubic feet

2) <span>Solve the following addition problem. Remember to carry as necessary.

7 cu. yd. 9 cu. ft. 134 cu. in. + 1 cu. yd. 12 cu. ft. 200 cu. in.
</span>7 cu. yd
9 cu. ft-------- > 9/27=0.33333 cu yd
134 cu. in-----> 134*2.1433e-5=0.00287
1 cu. yd
12 cu. ft------- 12/27=0.44444 cu yd
200 cu. in----200*2.1433e-5=0.00429 cu yd

(7+0.33333+0.00287)+(1+0.44444+0.00429)=8.78493 cu yd

3 <span>Solve the following subtraction problem. Remember to borrow as necessary.

9 cu. yd. 113 cu. in. – 4 cu. ft. 129 cu. in.
</span>9 cu yd
113 cu in---------113*2.1433e-5=0.00242 cu yd
4 cu. ft--------4/27=0.14814 cu yd
129 cu. in----------129*2.1433e-5=.00276
(9+0.00242)-(0.14814+.00276)=8.85152 cu yd

4 <span>Solve the following multiplication problem.

11 cu. yd. 17 cu. in. × 135
</span>11 cu yd
17 cu in----------17*2.1433e-5=0.00036 cu yd

(11+0.00036)*135=1485.0486 cu yd

5 <span>What’s the capacity of a 3 cubic foot carton in cubic inches?
3 cu feet---------> 3*1728=5184 cu in

6 
</span>The Great Pyramid was built in Egypt more than 4,000 years ago. It was built by King Khufu, or Cheops, who intended to use it as a tomb. The pyramid contains about 2,300,000 blocks of stone, each weighing 2 1⁄2 tons. Can you calculate the approximate total weight of the Great Pyramid, in pounds?
2 1/2=(4+1)/2=5/2=2.5
weight=2,300,000*2.5=5750000 ton-------> *2204.62=12676565000 lb

7 
<span>Convert the following liquid measures. 
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b. 128 tablespoons to fluid ounces -----*0.5=64 fluid onces
c. 93 pints to quarts --------*0.5=46.5 quarts
d. 13 quarts to cups ---*4=52 cups
e. 69 teaspoons to tablespoons---------*0.3333=23 </span>tablespoons<span>
f. 112 cups to gallons--------*0.0625= 7 </span>gallons<span>
g. 18 fluid ounces to teaspoons---------*6=108 </span>teaspoons<span>
h. 3 gallons to fluid ounces-----*128= 384 ounces
</span>
8 
A local dairy farmer collects 490 gallons of milk a day from his cows. He keeps 1⁄35 of the milk for his own use, and sells the rest. Each quart of milk sells for 35 cents. In dollars, how much does he earn from selling his milk each day? (There are 100 cents in a dollar.)

(34/35)*490=476 gallons to sell------------> *4=1904 quarts
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9 
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1,386 cubic feet----------> *1728=2395008 cu in
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x--------------------------------- 2395008 cu in
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10 
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2 capfuls of detergent-----------> 1 gallon of water----------> 2 tablespoon
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x=11*2=22 
tablespoon
22 tablespoon-----------------> *0.5=11 fluid onces

11 
<span>Convert the following dry measurements.
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d. 1,120 quarts to pecks--------* 0.107421=120.31 pecks
</span>
12 
Twelve apple pies can be made from one bushel of apples. How many apple pies can be made from one peck of apples?
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12 apple pies-------------- > 1 bushel
x---------------------------------0.25 bushel
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13 
<span>Mr. Osaka sprinkles 1.694 pints of dry, powdered plant food on his garden three times a year. In quarts, what’s the total amount of plant food he uses in one year?

</span>1.694 pints*3=5082 pints in one year--------------> *0.5=2541 quarts<span>


</span>
5 0
3 years ago
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