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2 years ago

Samir buys x cans of soda at 30 cents each and (x+4) cans of soda at 35 cents each. The total cost was $3.35. Find x

2 answers:

8 0

0.30x is the cost of the first type of soda. 0.35(x+4) is the cost of the second type of soda. Put these into an equation looking like:

Cost of Soda A + Cost of Soda B = Total Cost
0.30x + 0.35(x+4)=3.35 --> Expand 0.35(x+4)
0.30x + 0.35x + 1.4 = 3.35 --> Add the x's and subtract 1.4
0.65x = 1.95 --> Divide by 0.65
x = 3

Samir buys 3 cans of soda at 30 cents each and 7 (3+4) cans of soda at 35 cents each. Samir buys a total of 10 cans of soda.

Zigmanuir [339]2 years ago

6 0

X=3 is my answer.the answer is 3cans

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Erin built a wooden box to hold hay on her farm. Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to complete

sergiy2304 [10]

Here is the complete question.

Erin built a wooden box to hold hay on her farm.The box is 3 \text { m}3 m3, start text, space, m, end text long, 1 \text { m}1 m1, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high.Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?

Answer:

it cost $42 to completely fill the box with hay

Step-by-step explanation:

Given that :

The length of the wooden box = 3m ; the width of the box = 1m and the height of the box = 1 m; we can easily determine the volume of the rectangular wooden box;

We all know it would assume the shape of a rectangular prism and it's volume = L × W × H

Thus; the volume of the box = . 3 m × 1 m × 1 m = 3 m³

However, the question proceeds by stating it that the wooden box cost $14 per cubic meter;

So , if 1 cubic meter = $14;

three cubic meters = $14 × 3 = $42

Hence; it cost $42 to completely fill the box with hay

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2 years ago

The town council wants to know if the residents support beautification of the downtown area. What is the best design for this st

Natasha_Volkova [10]

Experimental census sample survey

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2 years ago

Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide (I made this up). What is the rate of cha

Dovator [93]

50 years ... 2.5 degrees
1 year ... x degrees = ?

If you would like to know what is the rate of change in worldwide temperatures per year, you can calculate this using the following steps:

50 * x = 2.5 * 1
50 * x = 2.5 /50
x = 2.5 / 50
x = 0.05 degrees per year

Result: The rate of change is 0.05 degrees per year.

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2 years ago

Antony has a net spendable income of $1,950 per month. What is the maximum recommended amount of money that he should budget for

REY [17]

The max budget for food is 17%

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The answer is $332

Just took this test and got it right

7 0

2 years ago

Read 2 more answers

Ice Cream Scoops - In shops with lots of ice-cream flavors there are many different flavor combinations, even with only a 2-scoo

blondinia [14]

Answer:

The general formula that can be used to find the required combinations for n flavor ice-cream.

$N_n = \frac{n(n+1)}{2}$

For 10 ice-cream flavors

$N_{10} = \frac{10(10+1)}{2}$

$N_{10} = 55$

Step-by-step explanation:

Let V = Vanila, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry

2 ice-cream flavor:

V, C

{V/V, V/C, C/C}

3 possible combinations

3 ice-cream flavor:

V, C, S

{V/V, V/C, V/S, C/S, C/C, S/S}

6 possible combinations

4 ice-cream flavor:

V, C, S, P

{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}

10 possible combinations

5 ice-cream flavor:

V, C, S, P, B

{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }

15 possible combinations

So we have a series of

3, 6, 10, 15...

This series is known as Triangular number series

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

The general formula for this series is

$N_n = \frac{n(n+1)}{2}$

Using the above formula we can predict the number of 2-scoop combinations with 10 flavors.

$N_{10} = \frac{10(10+1)}{2}$

$N_{10} = 55$

Therefore, there are 55 different combinations of 2-scoop with 10 flavors.

5 0

2 years ago