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ddd [48]
3 years ago
11

Simone saved $65.35 more than her brother Dan and $37.50 less than her sister Carly. Carly saved $127.75. Write and solve equati

ons to find how much Simone and Dan saved.
Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Simone saved $90.25 and Dan saved $24.90

Step-by-step explanation:

Let,

Amount saved by Simone = x

Amount saved by Dan = y

Amount saved by Carly = z

Simone saved $65.35 more than her brother Dan

x = y + 65.35    Eqn 1

and $37.50 less than her sister Carly.

x = z - 37.50     Eqn 2

Carly saved $127.75

z = 127.75      Eqn 3

Putting value of z from Eqn 3 in Eqn 2

x = 127.75-37.50\\x=90.25

Putting x=90.25 in Eqn 1

90.25=y+65.35\\90.25-65.35=y\\24.90=y\\y=24.90

Simone saved $90.25 and Dan saved $24.90

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/116167
  • brainly.com/question/116715

#LearnwithBrainly

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What is the experamental probability that the coin lands on heads?
sammy [17]

Answer:

The experamental probability that the coin lands on head is 50 %

Step-by-step explanation:

Given:

Experiment:

A coin is Toss

Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }

∴ n ( S ) =  2

Let A be the event of getting a Head on tossing a coin i.e  { Head }

∴ n( A ) = 1

Now,

\textrm{Probability} =\frac{\textrm{outcomes for the experiment}}{\textrm{total number of outcomes}}

Substituting the values we get

P(A) = \frac{n(A)}{n(S)} \\\\P(A) = \frac{1}{2} \\\\P(A) = 0.5\\\\P(A) = 50\%

The experamental probability that the coin lands on head is 50 %

5 0
3 years ago
A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70
TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that \sigma = 70

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

M = z\frac{\sigma}{\sqrt{n}}

10 = 1.96\frac{70}{\sqrt{n}}

10\sqrt{n} = 1.96*70

Dividing both sides by 10:

\sqrt{n} = 1.96*7

(\sqrt{n})^2 = (1.96*7)^2

n = 188.2

Rounding up:

She needs to sample 189 trees.

3 0
3 years ago
Correct answer gets 5 stars and brainliest
ozzi

Answer:

  • Option C

Step-by-step explanation:

Find the equation of the graphed line.

<u>Use 2 points, (0, -6) and (2, 4)</u>

  • m = (4 + 6)/2 = 5
  • b = -6

<u>The equation is:</u>

  • y = 5x - 6

<u>Compare with the given line y = 4x + 2</u>

  • 5 > 4 and -6 < 2

Correct answer choice is c

6 0
3 years ago
Big Smiles Toy Company needs to pack marbles into a box. The company has two boxes they can use. Box A is 9 inches wide, 13 inch
shtirl [24]

Answer:

Big Smiles Toy Company should choose Box B as its volume is  82.5 inch^3 larger than Box A

Step-by-step explanation:

Given

Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height

Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height

Volume of Box A= Length\timeswidth\times height=9\times13\times11.5= 1345.5 inches^3

Volume of Box B =Length\times width\times height= 14\times8.5\times12= 1428 inches^3

Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5inches^3

Box B has 82.5 inch^3 volume larger than Box A

4 0
3 years ago
What is the most appropriate estimate for 10.2 divided by 2.3
kodGreya [7K]

Answer:

B 5

Step-by-step explanation:

Estimate 10.2 as 10

2.3 as 2

10/2 =5

6 0
3 years ago
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