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4 years ago

Need help with this two step equation

Mathematics

1 answer:

bezimeni [28]4 years ago

5 0

well, do a payments table of values, just like before for each mont hmm let's see

1st month.......................3500 + p(1)

2nd month....................3500 + p(2)

3rd month.....................3500 + p(3)

4th month.....................3500 + p(4)

5th month.....................3500 + p(5)

36th month..................3500 + p(36)

$\bf \stackrel{\textit{total value}}{17900}=\stackrel{\textit{down payment}}{3500}+\stackrel{\stackrel{\textit{payments for}}{\textit{36 months}}}{36p} \\\\\\ 14400=36p\implies \cfrac{14400}{36}=p\implies 400=p$

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a rectangle shape whose length is 4 inches less than twice its width. the area is 30 square inches. whats the dimension

Ne4ueva [31]

Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"

So, the length the rectangle is 2" and the width is 3"

5 0

4 years ago

Last spring 12 birds ate 8 cups of birdseed in one month. If I am expecting 18 birds this month, how

elena55 [62]

Simplified Ratio: <u>3 : 2</u>

Birds / Cups

6 / 4

9 / 6

12 / 8

15 / 10

18 / 12

You need 12 cups of birdseed if you're expecting 18 birds this month.

7 0

3 years ago

Ewen has 48 white tiles and 16 blue tiles.

Inessa [10]

Answer:

3:1 in simplest form

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help asap i will get yelled at =( this is going to give yoyu 42 points

gregori [183]

Answer:

24+24=48

Step-by-step

24+24=48

7 0

3 years ago

Read 2 more answers

A recipe calls for 3 cups of flour for every 5 eggs. How many cups of flour do you need for every 1 egg?

kodGreya [7K]

Answer:

$\boxed {\boxed {\sf \frac {3}{5} \ or \ 0.6 \ cups \ of \ flour}}$

Step-by-step explanation:

Let's set up a proportion using this setup.

$\frac { flour}{ eggs}=\frac { flour}{ eggs}$

We know that 3 cups of flour are needed for every 5 eggs.

$\frac {3 \ cups \ flour}{5 \ eggs}=\frac { flour}{ eggs}$

We don't know how many cups are needed for 1 egg, so we say x cups for 1 egg.

$\frac {3 \ cups \ flour}{5 \ eggs}=\frac { x \ cups \ flour}{ 1 \ egg}$

$\frac {3 }{5 }=\frac { x }{ 1 }$

We are solving for x, so we must isolate the variable. x is being divided by 1. The inverse of division is multiplication, so multiply both sides by 1.

$1*\frac{3}{5}= \frac {x}{1}*1\\$

$\frac{3}{5}=x$

$0.6=x$

For every 1 egg, 3/5 or 0.6 cups of flour are needed.

8 0

3 years ago