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3 years ago

8

Chef Morgan’s restaurant has 24 tables. Fifteen of the tables each have one flower in a vase. The remaining tables have 5 flower

s in each vas. How many flowers are there? Show how you found the answer.

2 answers:

iogann1982 [59]3 years ago

5 0

60 flowers.

15 tables have 1 flower. 1X15=15

If 15 out of 24 have 1, that means 9 have 5. 9X5=45. 15+45=60

Ulleksa [173]3 years ago

3 0

Answer:

60 tables

Step-by-step explanation:

Total Number of tables in Chef Morgan's restaurant= 24 tables

Number of tables in each have one flower vase= 15 tables

Number of flowers in 15 table= 1×15= 15 flowers

Number of remaining tables = 24- 15= 9 tables

Number of flowers in each remaining table= 5 flowers

Number of flowers in remaining tables= 9×5 = 45 tables

Total number of flowers= 15+45= 60 tables

Hence, total number of tables= 60 tables

Hence, the correct answer is 60 tables

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Which equation has a graph that goes through the points (4, -6) and (0, 6)?

Ugo [173]

Answer:

$y = -3x + 6\\$

Step-by-step explanation:

Find the gradient of the equation

$\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4} = \frac{12}{-4} = -3$

The equation will have the gradient -3x

Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

$y = x + c\\ y = -3x + c\\$

(4, -6)

$-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 6$ $6 = -3(0) + c\\ 6 = 0 + c\\ c = 6$

(0, 6)

$6 = -3(0) + c\\ 6 = -0 + c\\ c = 6$

The equation of the line is

$y = -3x + 6\\$

4 0

3 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

4 years ago

X varies directly with y. If x is 16 when y is 20, find x when y is 80.

Taya2010 [7]

Answer:

32

Step-by-step explanation:

16/20 reduces down to 2/5

set 2/5=x/80

cross multiply 160=5x

divide 32=x

check 2/5=32/80

32/80; 16/40; 8/20; 4/10; 2/5

yay 32 is the answer good luck :)

5 0

3 years ago

Christina wants to compute the cost of tiling the floor in her bathroom. The floor measures 7 feet 6 inches by 8 feet 10 inches.

ArbitrLikvidat [17]

Answer:

Two boxes will cost $\$35.95\cdot 2=\$71.9.$ The cost of one tile is approximately $\dfrac{\$71.9}{67}\approx \$1.08.$

Step-by-step explanation:

Note that 1 ft = 12 in, then

$7\ ft\ 6\ in=7\cdot 12+6\ in =90\ in,\\ \\8\ ft\ 10\ in=8\cdot 12+10\ in=106\ in.$

The area of the floor is

$90\cdot 106=9540\ in^2.$

Now

$1\ ft^2=144\ in^2,$

then

144 sq. in - 1 tile,

9540 sq. in - x tiles.

Mathematically,

$\dfrac{144}{9540}=\dfrac{1}{x},\\ \\x=\dfrac{9540}{144}=66.25$

tiles is needed to cover the floor (67 full tiles).

Each box of tiles contains 45 tiles, so Cristina has to buy 2 boxes. These two boxes will cost $\$35.95\cdot 2=\$71.9.$ The cost of one tile is approximately $\dfrac{\$71.9}{67}\approx \$1.08.$

7 0

3 years ago

and United States Lowe's sells particular carpet for $4.88 per square foot in the United Kingdom carpetright sells assembler car

Alisiya [41]

The carpet of United Kingdom carpet-right is cheaper by 3.33 dollars/ft²

<u><em>Explanation</em></u>

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12.99 pound sterling/ m²

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<u>As the unit price of the carpet per square feet in United Kingdom carpet-right is less than United States Lowe's</u>, so the carpet of United Kingdom carpet-right is cheaper by $(4.88-1.55)dollar/ft^2 = 3.33 dollar/ft^2$

3 0

3 years ago