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3 years ago

PLEASE HELP IM SUPER CONFUSED!! WILL CROWN BRAINLIEST

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

8 0

Start with the given expression:
$\frac{4x+6y}{2y}=8$

We want $y$ so lets isolate it. Start by multiplying both sides by $2y$ :
$4x+6y=16y$

And then group similar terms:
$4x=10y$

Now we can substitute our know value of $x=5$ :
$4(5)=10y$

And then solve for $y$ :
$4(5)=10y$
$20=10y$
$\frac{20}{10}=y$
$y=2$

You might be interested in

Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don

Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

$nP_r=\frac{n!}{(n-r)!}$

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

$\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}$

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

$_nC_r=\frac{n!}{(n-r)!r!}$

The formula can now be applied as follows;

$\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}$

If the order is not relevant, then the selection can be done in 56 ways.

3 0

10 months ago

Ms. Nina has 10 lbs of 25% sugar syrup. How much water does she need to add to make 10% sugar syrup?

ryzh [129]

She has 10lbs of 25% syrup... so, in the 10lbs, 25% of that is syrup, the rest, namely the 75% remaining is water or other substances.

let's say she adds "x" lbs of water, to get "y" lbs for the 10% mixture.

how much is 25% of 10lbs? well, (25/100) * 10, or 2.5.

the water has no sugar syrup in it, so is just pure water, so the amoun of syrup in it is 0%, how much is 0% of "x" lbs? well, (0/100) * x, or 0.00x, which is just 0.

how much is 10% of "y" lbs? well (10/100) * y, or 0.10y.

whatever "x" and "y" are, we know that 10 + x = y.

we also know that the syrup amount in that is also 2.5 + 0.00x = 0.10y, thus

$\bf \begin{array}{lccclll}
&\stackrel{lbs}{syrup}&\stackrel{concentration~\%}{syrup}&\stackrel{concentration}{amount}\\
&------&------&------\\
\textit{25\% syrup}&10&0.25&2.5\\
\textit{pur water}&x&0.00&0.00x\\
------&------&------&------\\
\textit{10\% mixture}&y&0.10&0.10y
\end{array}
\\\\\\
\begin{cases}
10+x=\boxed{y}\\
2.5+0.00x=0.10y\\
----------\\
2.5 = 0.10\left( \boxed{10+x} \right)
\end{cases}
\\\\\\
2.5=1 + 0.10x\implies 1.5=0.10x
\\\\\\
\cfrac{1.5}{0.10}=x\implies 15=x$

8 0

2 years ago

Read 2 more answers

Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station o

Nonamiya [84]

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

y=(5/2)x +20

5 0

2 years ago

Write out steps on how to solve 21.4divided by 4.75

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

21.4÷4.75

First- you have to move the decimal placement two times to the right
Second- you have to put the number 21.4 under the dividing box
Third- put the number 4.75 out to the left of the decimal box
Fourth- when that's all completed you have to multiply the 475. until you get clos to the number 2140.
Fifth- once done you have to subtract the multiplied number that you get you then subtract it from 2140
Sixth- you keep on doing the fifth step until you get a reasonable answer
Seventh- you write the answer down
Eighth- there is no eighth step so you can stop reading this answer

Your welcome from Stonestreet181 and have a good day

4 0

3 years ago

I need to Decrease 6400 by 9%

Advocard [28]

Answer:

5824

Step-by-step explanation:

10% of 6400 =640

1% 0f 6400 = 64

640-64=576

6400-576= 5824

5 0

2 years ago