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Irina-Kira [14]
3 years ago
12

How can you determine the sign of the difference of two numbers before you subtract the

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer:

Hi how are you doing today Jasmine

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Uhh help lol<br> 5.3x + y = 28.5 <br> 4.2x + 3.1y = 27.2<br> find x and y
navik [9.2K]

Answer:

x = 5, y = 2

Step-by-step explanation:

First, isolate y in the top equation.

y = -5.3x+28.5

Next, substitute y in the bottom equation.

4.2x + 3.1(-5.3x + 28.5) = 27.2

5.3x + y = 28.5

Simplify.

4.2x + -16.43x + 88.35 = 27.2

Combine like terms.

-12.23x + 88.35 = 27.2

Isolate x on one side.

-12.23x = -61.15

Isolate x.

x = 5

Substitute x into 5.3x + y = 28.5

5.3(5) + y = 28.5

Simplify.

26.5 + y = 28.5

Isolate y.

y = 2

x = 5 \\y = 2

6 0
3 years ago
Kyle lives 3/4 mile from his friend Aiden. Kyle is to walk 2/3 of the distance to meet Aiden. What part of a mile must Kyle walk
bearhunter [10]

Answer:

1/2 mile

Step-by-step explanation:

\frac{2}{3} (\frac{3}{4} )=\frac{6}{12} =\frac{1}{2}

6 0
3 years ago
Nothing here nothing nothing nothing
MAXImum [283]

Your pfp. *kneels down*

will you marry me, genshin player?

5 0
2 years ago
Read 2 more answers
On Monday John bought 7 apples. On Tuesday he bought 3 times as many apples as he did on Monday. How many apples did John buy on
d1i1m1o1n [39]
He brought 21 apples.
8 0
3 years ago
Read 2 more answers
Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×
strojnjashka [21]
8.9

The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number

Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)

log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n

(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n

So the ASTM grain size number is 8.9

If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458

Or about 2,400,000 grains per square inch.
7 0
3 years ago
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