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Karo-lina-s [1.5K]
3 years ago
14

Leonard it sells small watermelons for seven dollars each and large watermelons for $10 each one day the number of small waterme

lons he saw was 15 more than the number of large watermelons and he made a total of $394 how many small and how many large watermelons a did he sell?
Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

He sold 32 small watermelons and 17 large watermelons.

Step-by-step explanation:

Let,

Small watermelons = x

Large watermelons = y

Cost of one small watermelon = $7

Cost of one large watermelon = $10

According to given statement;

x = y+15   Eqn 1

7x+10y=394   Eqn 2

Putting value of x from Eqn 1 in Eqn 2

7(y+15)+10y=394\\7y+105+10y=394\\17y=394-105\\17y=289\\

Dividing both sides by 17

\frac{17y}{17}=\frac{289}{17}\\y=17

Putting y=17 in Eqn 1

x=17+15\\x=32

He sold 32 small watermelons and 17 large watermelons.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/2998489
  • brainly.com/question/3055705

#LearnwithBrainly

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A pipe is 25 inches long and has a diameter of
Lilit [14]

Answer:

The lateral area is 392.5 sq. inches.

Step-by-step explanation:

The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:

Lateral Area = 2\pi r h

Where

r is the radius (half of diameter)

h is the height

Given, diameter = 5

so,

radius = 5/2 = 2.5

Also,

height = 25 inches (same as length, here)

Now we use 3.14 for \pi and substitute the values to get the lateral area:

Lateral Area = 2\pi r h = 2(3.14)(2.5)(25)=392.5

The lateral area is 392.5 sq. inches.

4 0
3 years ago
The table below shows all outcomes for rolling 2 dice. The bold numbers 1 through 6 show the possible results for each die. All
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Part I:

1. If you have to circle each outcome in the table that at least 1 die is a 4, then you have to circle row corresponding to the number 4 and column corresponding to the number 4.

2. If you have to cross out each outcome where the sum of the dice is greater than 5, then you have to cross out all not bold numbers 6, 7, 8, 9, 10, 11 and 12 in the table.

Part II:

Here you can see 36 possible outcomes.

1. The probability that at least 1 die is a 4 is:

Pr(A)=\dfrac{11}{36} - (favorable outcomes are 4+1=5, 4+2=6, 4+3=7, 4+4=8, 4+5=9, 4+6=10, 1+4=5, 2+4=6, 3+4=7, 5+4=9, 6+4=10).

2. The probability that the sum of the dice is greater than 5 is:

Pr(B)=\dfrac{26}{36}=\dfrac{13}{18}.

3. The probability that at least 1 die is a 4 and that the sum of the dice is greater than 5 is

Pr(A\cap B)=\dfrac{9}{36}=\dfrac{1}{4}.

4. The probability that at least 1 die is a 4 or that the sum of the dice is greater than 5 is:

Pr(A\cup B)=\dfrac{28}{36}=\dfrac{7}{9}.

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3 years ago
A pharmacist has a 12% solution and a 20% solution of boric acid. How much of each should she use to make 80 grams of a 15% solu
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Step-by-step explanation:

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Since we need 80 grams of 15%, 80(.15) = 12.

We are given that .12x + .20y = 12.

We can solve the first equation for x or y. Let's do x.

x = 80 - y

.12(80 - y) + .20y = 12

9.6 - .12y + .20y = 12

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y = 30

x = 80 - 30 = 50

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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Joseph buys 10 cookies. He eats 7 of them. He wants to know how many cookies he has left.
AysviL [449]

Answer:

subtract 10-7 which is 3 cookies

6 0
2 years ago
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