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3 years ago

Evaluate: a-2b/c : if a = -8, b = 6.5, and c = -2. -1.5 10.5 -9

Mathematics

2 answers:

Mkey [24]3 years ago

3 0

The answer to ur equation is -1.5

posledela3 years ago

3 0

-8-2×6.5÷-2
-8-13÷-2
-8-(-6.5)
= -1.5

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There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q

Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

<em><u>Solution:</u></em>

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

$\frac{nickel}{dime} = \frac{2}{3}$

$nickel = \frac{2}{3} dime$

$\frac{dime}{quarter} = \frac{2}{5}$

$quarter = \frac{5}{2}dime$

So,

$nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15$

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank

3 0

3 years ago

Let h(x)=2x+5, g(x)=8−3x. What is the value of h(g(1.5))?

Anon25 [30]

So your equation is a composite function. It means to plug 1.5 as x into g(x), then the answer you get for that, plug into h(x).

So.

g(1.5)=8-3(1.5)

=8-4.5

=3.5

Then.

H(3.5)=2x+5

=2(3.5)+5

=7+5=12

Your final answer is 12.

6 0

3 years ago

Write an equation of the line in standard form.

Andreyy89

Answer:

Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:

to switch into y=mx+b form do this:

3x-y=5

-y=5-3x

y=-5+3x

y=3x+(-5)

2y-15x=8

2y=8+15x

y=4+7 1/2x

y=7 1/2x+4

THe slope of any line in y=mx+b form is m. Therefore in this equation:

y=3x+(-5) 3 is the slope

The y intercept of any line is the +b:

y=7 1/2x+4 -therefore 4 in this equation is our y intercept.

Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)

since 3 is our slope and 4 is our y intercept the equatuon is :

y=3x+4

NOw all we need to do is move this into standard form:

y=3x+4

-3x+y=4

-3x+y=4 is your final answer

-hope this helped

Step-by-step explanation:

8 0

3 years ago

Mrs Lim bought some white rice and some brown rice. She cooked an equal amount of white and brown rice. She had 3/4 of the white

quester [9]

Since she cooked 3/4 of the white rice, there is 1/4 of the white rice that is not cooked. This is equal to 2/8. 2/8+3/8=5/8. This shows that 3/8 of the rice that she bought was cooked. Please mark Brainliest!!!

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3 years ago

I don't know how to do this practice problem :/

Veseljchak [2.6K]

First of all, we know that Emily travels 3/4 of a mile in 4 minutes and 30 seconds (i.e. 9/2 of a minute). So, her current velocity is

$v = \dfrac{\frac{3}{4}}{\frac{9}{2}} =\dfrac{3}{4}\cdot\dfrac{2}{9} = \dfrac{1}{6}$ of a mile per minute.

At this speed, it takes

$t = \dfrac{s}{v} = \dfrac{3.42}{\frac{1}{6}} = 3.42\cdot 6 = 20.52$

minutes to travel 3.42 miles.

Since she left at 8.25, she will arrive at about 8.46, so she's on time for school.

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3 years ago