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Igoryamba
3 years ago
10

Solve the following word problem by using a system of equations.

Mathematics
1 answer:
coldgirl [10]3 years ago
4 0
For this problem, we can use systems of equations. I will use the variables <em>x </em> (for ice-cream) and <em>y</em> (for soda). We get the system:

2.25x+0.75y=30.00
x+y=18

Putting the second equation in terms of y, we get that y=-x+18. We can substitute this into our first equation.

2.25x+0.75y=30.00
becomes
2.25x+0.75(-x+18)=30

Solving for x, we get that x=11. This satisfies answer B.

However, if you want to check to see if this is correct, you could find y by plugging in your value of x into the first equation, then check to see if your found values satisfy BOTH equations.

2.25(11)+0.75y=30
24.75+0.75y=30
0.75y=5.25
y=7

Then we plug this into both equations to see if they are true.

2.25(11)+0.75(7)=30
24.75+5.25=30
30=30 (This is true)

x+y=18
11+7=18
18=18 (This is true).

Both equations are true, so the value for x and y are correct. We see that only answer B is supported through analyzing your work.

:)
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Solve the formula for the area of a parallelogram the height,
valkas [14]

Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2        then plug the numbers in the right spot

2=4/2           then see what can be rearranged or what is left to make the              

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5 0
3 years ago
Which of the following diagrams represents 80%?<br><br>Help please. it'd be very appreciated. :)​
Alenkasestr [34]

Answer:

H

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5 0
3 years ago
PLEASE SUPER URGENT!! 14 PTS PLEASE
Zepler [3.9K]

Answer: h(x) = -1200x^2 + 1950x + 4950

=======================================

Work Shown:

f(x) = revenue from the north

f(x) = -750x^2 + 1500x + 2250

g(x) = revenue from the south

g(x) = -450x^2 + 450x + 2700

h(x) = total revenue, ie add the two revenues

h(x) = f(x) + g(x)

h(x) = (-750x^2+1500x+2250)+(-450x^2+450x+2700)

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8 0
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prohojiy [21]

Answer:

I would say it's d (sorry if im wrong)

3 0
2 years ago
What are all the names to a polygon that has 2 pairs of parallel sides 2 pairs of sides equal in length and 2 acute and 2 obtuse
tester [92]

Answer:

a trapezoid

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

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If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

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2 years ago
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