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3 years ago

Lily saved 16 coins. She saved ten-can and one-dollar coins only. If she had $5.20, how many ten-cent coins did she have?

Mathematics

1 answer:

Firlakuza [10]3 years ago

4 0

Answer:

Step-by-step explanation:

Let d represent the number of dimes Lily saved. Then the value of her coins in cents is ...

10d +100(16-d) = 520

-90d +1600 = 520 . . . . . eliminate parentheses, collect terms

-90d = -1080 . . . . . . . . . . subtract 1600

d = -1080/-90 = 12 . . . . . divide by the coefficient of d

Lily has 12 ten-cent coins.

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carmen participated in a read-a-thon.MR.cole pledge $4.00 per book and gave carmen $44.00.How many books did carmen read

finlep [7]

Answer:

11 books

Step-by-step explanation:

because if she gets $4 per book and gets $44 in total then that means she has read 11 books because 4 times 11 is 44.

4 0

3 years ago

Round to the nearest tenth, I will give brainlyest PLEASE

BabaBlast [244]

1. cos B= a/x

x= 11/cos 37°

x= 13.77

2. tan A= a/x

x= 4/tan 41°

x= 4.60

3. sin B = x/c

x= sin 37° × 10.3

x= 6.20

4. tan A= a/b

tan A= 4/13

A= tan-1(0.31)

A= 17°6'10"

5. cos A= b/c

cos A= 12/13

A= cos -¹(0.92)

A= 22°37'12"

6. tan B= a/b

tan B= 3/3

tan B= 1

B= tan‐¹(1)

B= 45°

7 0

1 year ago

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

3 years ago

What is the y-intercept of the function f(x)=4 – 5x?

schepotkina [342]

The slope-intercept form of a line is
y=mx+b
where m is the slope
b is the y-intercept

if you convert the function into an equation, then
y=4-5x

rearranging the equation
y=-5x +4
thus
m=-5 and b=4

the y-intercept of the function is 4

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kaheart [24]

Use the magic napkin

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2 years ago

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