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Nataly [62]
3 years ago
9

A student buys a selection of drinks and hamburgers for their friends at a football game. If the student bought 10 items in tota

l for $24 and drinks cost $2 and hamburgers cost $4, how many drinks were purchased?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

<em>8 drinks were purchased.</em>

Step-by-step explanation:

We can use two equations to describe this problem. Then we solve a system of equations in two variables to find the solution.

1) number of items

Let h = number of hamburgers

Let d = number of drinks

Sum of the number of items bought is h + d.

We are told 10 items in total were bought, so h + d = 10

That is our first equation.

2) cost of items

One hamburger costs $4; h hamburgers cost 4h.

One drink costs $2; d drinks cost 2d.

The sum of the costs of the hamburgers and drinks is 4h + 2d.

We are told the total cost is $24, so 4h + 2d = 24. That is our second equation.

We have a system of equations:

h + d = 10

4h + 2d = 24

We will now solve the system of equations using the substitution method.

Solve the first equation for h.

h + d = 10

h = 10 - d

Now substitute 10 - d for h in the second equation.

4h + 2d = 24

4(10 - d) + 2d = 24

Now we have one equation in one variable, so we can solve for d.

40 - 4d + 2d = 24

40 - 2d = 24

-2d = -16

d = 8

8 drinks were purchased.

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Keith_Richards [23]

Answer:

60m

Step-by-step explanation:

height =2+2×(let x be the length of the base)

area=1/2bh

30=1/2(2+2×)

30=2/2+2×/2

30=1+2×/2

30=1+×

30-1=×

29=

height=2+2×

2+2(29)

2+58

60

therefore the height is 60m

5 0
2 years ago
Which expression is equivalent to 10x2y 25x2? 5x2(2y 5) 5x2y(5 20y) 10xy(x 15y) 10x2(y 25)
grin007 [14]

GCF is the highest value that can divide an expression. The equivalent expression to  10x^2y + 25x^2 is 5x^2 (2y + 5)

<h3>Factoring polynomial expressions</h3>

GCF is the highest value that can divide an expression. Given the expression below

10x^2y + 25x^2


Find the factor of each

10x^2y = 5 * 2 * x^2 * y

25x^2 = 5 * 5 * x^2

Since 5x^2 is common to both factors, hence

10x^2y + 25x^2 = 5x^2 (2y + 5)

The equivalent expression to  10x^2y + 25x^2 is 5x^2 (2y + 5)

Learn more on factoring here: brainly.com/question/24734894

5 0
2 years ago
If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
Vikentia [17]

Answer:

$200

Step-by-step explanation:

If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.

5 0
2 years ago
Can you please help me​
Levart [38]

thanks for your help I really think that it's three

5 0
2 years ago
Sarah started with 50 dollars in her bank account. Each month, she puts 25 more dollars in her account. The amount of money in d
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D=(25)(8)+50

D=200+50

D=250

There will be $250 after 8 months.

5 0
3 years ago
Read 2 more answers
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