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djverab [1.8K]
3 years ago
7

Three times the number of red marbles in a bag is the same as 33 1/3 percent of the number of red marbles in the bag increased b

y 64. How many red marbles are in the bag?
Mathematics
1 answer:
sattari [20]3 years ago
6 0

Answer:

24 red marbles

Step-by-step explanation:

Ok, why not let  R = number of red marbles.

The first sentence says:

3 * R =  (33 and 1/3) % * R  + 64

or

3R = 100/3 %*R + 64

3R = (1/3)*R  + 64

9R = R + 192

8R  = 192

R = 24 red marbles

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The equation of the line that passes through the points (-2,0) and (0,2) can be expressed in the form y=mx+b. What is the value
liq [111]
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Find Slope:
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\text {Slope = }  \dfrac{2 - 0}{0-(-2)}

\text {Slope = }  1

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Substitute Slope = 1 into y = mx + b:
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y = x + b

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Find y-intercept:
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At point (0, 2),

2 = 0 + b
b = 2

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Substitute b = 2 into y = x + b:
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y = x + 2

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Expressed in the form of y = mx + b:
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y = x + 2

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Value of m + b :
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6 0
3 years ago
PLEASE HELP QUICKLY!!!<br> How are average IQs related to normal distribution
katen-ka-za [31]

Answer:

Read Explanation

Step-by-step explanation:

A standard devation of 15 means 68% of the norm group has scored between 85 (100 – 15) and 115 (100 + 15). In other words, 68% of the norm group has a score within one standard deviation of the average (100). Also, 95% of the norm group has an IQ score within two standard deviations of the average.

6 0
3 years ago
√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

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5 0
1 year ago
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Irina-Kira [14]

Answer:

\boxed{\sf \ C \ is \ the \ correct \ answer \ ! \ }

Step-by-step explanation:

fog(x)=f(g(x))

so it comes

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<u>so C is the correct answer</u>

7 0
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Answer:

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Step-by-step explanation:

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