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zimovet [89]
3 years ago
8

Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and

earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy
Mathematics
1 answer:
enot [183]3 years ago
7 0

Answer:

a. $13

b. $3

Step-by-step explanation:

Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy.

Cups $2

Lemons $8

Sugar $3

a. How much money do the supplies cost?

b. How much money does he have to spend?

a. Cost of each supply;

Cups $2

Lemons $8

Sugar $3

Total cost of the supplies = $2 + $8 + $3

= $13

b. How much money does he have to spend?

His mother agreed to loan him $10

Total cost of supplies = $13

Amount of money he has to spend = Total cost of supplies - Loan from his mother

= $13 - $10

= $3

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Andre and Elena are reading the same book over the 1 summer. Andre says he has read of the book. Elena ! says she has read 20 mo
ddd [48]

Answer: There are 175 pages in the book.

Step-by-step explanation:

If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:

55-20= the pages Andre read

55-20=35

Andre read 35 pages.

If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)

35 x 5= 175

There are 175 pages in the book.

7 0
3 years ago
With a line 7 cm long. Use a set square and a ruler and draw perpendicular lines at both ends
Setler79 [48]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Steps of construction:

  • Step I - Draw a line segment AB = 7 cm with the help ruler.
  • Step II - with vertex A, by using compass take more than half of AB and draw arcs, one on each side of AB.
  • Step III - with vertex B, by using a compass with the same length, cut the previous arcs at X and Y respectively.
  • Step IV - with help of the ruler join the points X and Y Thus XY is the perpendicular bisector of line AB.

(For Diagram please find in attachment)

5 0
3 years ago
(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop
zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})

Compute the sample sizes as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}

       n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}

          =\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

\hat p_{1}=0.45\\\hat p_{2}=0.58

Compute the sample size as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}

       n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}

          =\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666

Thus, the sample sizes are 6666.

7 0
3 years ago
Charles bought 7/8 foot of electrical wire and 5/6 foot of copper wire for his science project .What is the least common denomin
coldgirl [10]

Answer:

The least common denominator of the fractions is 24

Step-by-step explanation:

we know that

The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions

so

we have

7/8

Multiples of 8 -------> 8,16,24,32,...

5/6

Multiples of 6 -------> 6,12,18,24,...

24 is a common multiple of 6 and 8.  It is their lowest common multiple

<em>Alternative Method</em>

we have

8=2^{3}

6=2*3

The least common multiple are those common and non-common numbers with the greatest exponent

so

lcm= 2^{3}*3=24

6 0
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The reflected points would be (-3,-7) 

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