What is the area of a triangle when the base = 4cm and the height = 6cm? (use your resources ;-) )

Mathematics

1 answer:

Radda [10]2 years ago

7 0

Answer is in the file below

tinyurl.com/wpazsebu

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Ms. Dunn spent 10.70 buying slices of pie and cookies. She bought a total of 24 items. A slice of pie costs 0.80 and a cookie co

Rus_ich [418]

Answer:

Ms. Dunn bought 7 slices of pie.

Step-by-step explanation:

With the information provided, you can write the following equations:

x+y=24 (1)

0.80x+0.30y=10.70 (2), where:

x is the number of slices of pie

y is the number of cookies

First, you can solve for x in (1):

x=24-y (3)

Next, you have to replace (3) in (2) and solve for y:

0.80(24-y)+0.30y=10.70

19.2-0.80y+0.30y=10.70

19.2-10.70=080y-0.30y

8.5=0.5y

y=8.5/0.5

y=17

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=24-17

x=7

According to this, the answer is that Ms. Dunn bought 7 slices of pie.

7 0

3 years ago

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t

JulijaS [17]

A system of equations with infinitely many solutions is a system where the two equations are identical. The lines coincide. Anything that is equal to $3y=2x-9$ will work. You could try multiply the entire equation by some number, or moving terms around, or adding terms to both sides, or any combination of operations that you apply to the entire equation.

You could multiply the whole thing by 4.5 to get $13.5y=9x-40.5$ . If you want, you could mix things up and write it in slope-intercept form: $y= \frac{2}{3}x-3$ . The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers!

The attached graph shows that four different equations are really the same.