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konstantin123 [22]
3 years ago
15

How do i solve –1.8c + 5.1d for c = 2.9 and d = -4.2.

Mathematics
1 answer:
Tema [17]3 years ago
4 0

Answer:

See below

Step-by-step explanation:

-1.8c + 5.1d   plug the numbers in that you were given.

-1.8(2.9) + 5.1(-4.2)

Multiply the first and second group of numbers

-1.8 x 2.9 = - 5.22

5.1 x -4.2 = - 21.42

Now add the two numbers together but remember they are both negative numbers.  So when you add them together, it will end up being a more negative number.

-5.22 + -21.42 = - 26.64

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Help Me With This Question Please! I'm Answering This Question For A Hard Time! :(
Rom4ik [11]

Answer:

Step-by-step explanation:

The main goal in any equation is to get the unknown variable all by itself.  In this case that means moving the fraction of 7/8 over to the other side of the equals sign.  On the left, the fraction is being subtracted; that means that to move it to the other side, we add it since adding is the opposite of subtracting.

x-\frac{7}{8}+\frac{7}{8}=4+\frac{7}{8}

On the left side, if you have 7/8 and then take that 7/8 away, it's gone completely.  What we have now is

x=4+\frac{7}{8}

We need a common denominator so we can add 4 (which is 4/1) to 7/8.  8 is the common denominator.

x=\frac{4}{1}(\frac{8}{8})+\frac{7}{8} and

x=\frac{32}{8}+\frac{7}{8} giving us

3 0
3 years ago
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
olya-2409 [2.1K]

Answer:

1. 20% - add 2 lbs of water to get 2.5 lbs of syrup

2. 25% - add 1.5 lbs of water to get 2 lbs of syrup

3. 1.5% - add 32.833 lbs of water to get 33.333 lbs of syrup

Step-by-step explanation:

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the syrup.

1. 20% syrup:

0.5 lbs - 20%

x+0.5 lbs - 100%

Write a proportion:

\dfrac{0.5}{x+0.5}=\dfrac{20}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 20\\ \\50=20x+10\\ \\20x=50-10\\ \\20x=40\\ \\x=2\ lbs

To get 20% syrup Ella should add 2 lbs of water. The total weight of strup is 2.5 lbs.

2. 25% syrup:

0.5 lbs - 25%

x+0.5 lbs - 100%

Write a proportion:

\dfrac{0.5}{x+0.5}=\dfrac{25}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 25\\ \\50=25x+12.5\\ \\25x=50-12.5\\ \\25x=37.5\\ \\x=1.5\ lbs

To get 25% syrup Ella should add 1.5 lbs of water. The total weight of strup is 2 lbs.

3. 1.5% syrup:

0.5 lbs - 1.5%

x+0.5 lbs - 100%

Write a proportion:

\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\50=1.5x+0.75\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}\approx 32.833\ lbs

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of strup is 33.333 lbs.

7 0
3 years ago
(Algebra II) Extra points!!Determine whether y varies directly with x
ludmilkaskok [199]

Answer:

  • k = 1.6
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Step-by-step explanation:

If the variation is proportional dividing the y-value by the x-value will give the same result for all table entries. That quotient is the constant of variation (k).

Here 6.4/4 = 11.2/7 = 16/10 = 20.8/13 = 1.6

The value of y varies directly as x, and the constant of variation is 1.6. The equation is ...

  y = 1.6x

8 0
4 years ago
Jason plays a video game each weekend. He scored 100,000 more points on level 10 than he did on level 11. If he scored 785,354 p
Cerrena [4.2K]
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3 years ago
I need help pls :)....
Kaylis [27]

Answer:

15 inches.

Step-by-step explanation:

5 0
3 years ago
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