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emmainna [20.7K]
3 years ago
12

Jane has a bag of candy, she gives 8 to her friend. Then jane's grandmother buys 5 more pieces than jane had originally. Now jan

e has 27 pieces of candy. How many pieces where originally in Jane's original bag of candy
Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

12 Pieces

Step-by-step explanation:

Number of candies in Jane's bag = x

she gives 8 to her friend;

x - 8

Then jane's grandmother buys 5 more pieces than jane had originally; add (x + 5)

x - 8 + x + 5

Now jane has 27 pieces of candy

x - 8 + x + 5 = 27

Solve for x;

x - 8 + x + 5 = 27

2x - 3 = 27

2x = 27 -3

2x = 24

x = 12

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The sum of two numbers is 82. The larger number is eight less then five times the smaller number. What are the numbers?
bonufazy [111]

Answer:

The smaller Number = 15

The larger number = 67

Step-by-step explanation:

Let

The smaller number = x

The larger number = 5x - 8

The sum = 82

(5x - 8) + x = 82

5x - 8 + x = 82

6x - 8 = 82

Add eight to both sides

6x - 8 + 8 = 82 + 8

6x = 90

Divide both sides by 6

x = 90/6

= 15

Therefore,

The smaller number = x = 15

The larger number = 5x - 8

= 5(15) - 8

= 75 - 8

= 67

6 0
3 years ago
The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
Alexus [3.1K]

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

<h3>Lateral surface area of a cone</h3>

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

  • r = base radius
  • l = slant height

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

learn more on cone here: brainly.com/question/27170515

5 0
3 years ago
Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

8 0
3 years ago
Pls help me with #7!! i don’t understand
GREYUIT [131]
The correct answer is b lave flows from a volcano and piles up
4 0
3 years ago
Consider function f.<br><br><br><br> Which graph represents function f?
Ksju [112]
I think it is z I could be wrong
3 0
3 years ago
Read 2 more answers
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