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lakkis [162]
3 years ago
9

Solve the system of equations. y=-3/2+9 2x+2y=16

Mathematics
1 answer:
Leona [35]3 years ago
6 0
Y=-1.5+9=7.5
2x+2x7.5=16
2x+15=16
2x=16-15
2x=1
x=1/2
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Plz help me with this math and also explain
jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

  • SI = $250
  • Rate (R) = 12\sf \dfrac{1}{2} %
  • Time (t) = 4 years

\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\

\longrightarrow \tt { 250 \times 100 = P \times 50} \\

\longrightarrow \tt { 25000 = P \times 50} \\

\longrightarrow \tt { \dfrac{25000}{50} = P } \\

\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

  • 2/7 of the balls are red.
  • 3/5 of the balls are blue.
  • Rest are yellow.
  • Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\

\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\

\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\

\longrightarrow \tt{ 31x + 1260= 35x} \\

\longrightarrow \tt{ 1260= 35x-31x} \\

\longrightarrow \tt{ 1260= 4x} \\

\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\

\longrightarrow \underline{\boxed{  \tt { 315 = x }}} \\

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\

\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\

\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\

8 0
3 years ago
A group of dental researchers are testing the effects of acidic drinks on dental crowns. They have five containers of crowns lab
mestny [16]

Answer:

\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}

Step-by-step explanation:

Given

S = \{V,W,X,Y,Z\}

n(S) = 5

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20

P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20

P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20

P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20

P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20

So, the probability model is:

\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}

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2 years ago
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Digiron [165]
Well, what's the diffrence from 5/4 to 3/8?

\bf \cfrac{5}{4}-\cfrac{3}{8}\qquad \stackrel{\textit{LCD is 8 clearly}}{\implies }\qquad \cfrac{10-3}{8}\implies \cfrac{7}{8}

so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

\bf \begin{array}{ccll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;\frac{5}{4}&100\\\\&#10;\frac{7}{8}&x&#10;\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}&#10;\\\\\\&#10;\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}
5 0
3 years ago
Why is rounding important?
Alik [6]

Answer:

C

Step-by-step explanation:

Rounding can make a long number that might be confusing short and easy to understand. D sounds like the right answer but actually rounding isn't the most accurate. Using a fraction is.

7 0
3 years ago
Help me plz:<br><br> 8. Multiply the following:<br><br> c. (3s^4)(-6s^5)
ratelena [41]

Answer:

-18 s9

Step-by-step explanation:

6 0
2 years ago
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