Calculate the % loss
Cost price of an article =$28
Selling price of the article=$21

Since Angie has 12 3/4 yards of fabric and all and each costume requires 7/8 yards, you can divide 12 3/4 by 7/8.

12 3/4 ÷ 7/8

= 51/4 ÷ 7/8

= 51/4 • 8/7 (remember that dividing by a fraction is the same thing as multiplying by it’s reciprocal)

= 51/1 • 2/7 (after simplifying)

= 102/7

= 14 4/7

Angie can make 14 costumes. She cannot make the 15th one because she’ll run short of fabric.

Answers: The correct answer choices are the second figure/graph, and y = x/2.

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

Answer:

1 and 1/4

Step-by-step explanation:

The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

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Answer:

  65,900 mL

Step-by-step explanation:

You want to know the volume in mL of a sink with a volume of 65.9 dm³.

The relation between dm³ and mL is ...

  1 dm³ = 1000 mL . . . . . . . . . . also, 1 L (liter)

Multiplying the above relation by 65.9, we have ...

  65.9 dm³ = 65,900 mL

__

Additional comment

For many problems involving volumes in liters and dimensions in centimeters or meters, it can be convenient to convert the dimensions to decimeters (dm). Since 1 dm³ = 1 L, that can make the desired volume easily calculated.

Answer:

-3p^2 - 11p + 22

Step-by-step explanation:

A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).

Perform the indicated multiplication, obtaining:

                            (-2p + 7) - 3p^2 - 9p + 15, and then:

                              -2p + 7 - 3p^2 - 9p + 15, or (combining like terms):

                                 -3p^2 - 11p + 22

Answer:230gh+17ghc

Step-by-step explanation:

230gh+17ghc

Answer:

18 and 19

Step-by-step explanation:

n+(n+1)=36

2 x n+1=36

n>35/2

Answer:

option C. is correct answer it is 2/5

Solution:

Given the expression;

Following addition and power property of logarithm;

Thus;

ANSWER:

Answer:

35

Step-by-step explanation:

37 + x = 72

x = 72 - 37

x = 35

Emma's model shows a weak negative correlation between the concentration of the water softening agent and time. True.

The correlation coefficient (r) provides a measure of the strength and direction of the relationship between two variables.

Emma's model of the curve of best fit has a correlation coefficient of r = -0.28.

Based on the value of the correlation coefficient, we can determine the following statement about Emma's model:

Since the correlation coefficient is negative (r = -0.28), it indicates a negative relationship between the concentration of the water softening agent and time.

The magnitude of the correlation coefficient being less than 1 suggests a weak correlation, meaning that the data points in Emma's model are somewhat scattered around the best-fit curve.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

area of rectangle= l*b

2and 2/3  * 7 and 3/4

8/3 * 31/4

62/3 sq . feet

20 and 2/3 feet

all you really need to do is find the common denominator and it'll get you an answer for the numerator.

Answer:

13/15

Step-by-step explanation:

You first need to find the common denominator between both 3 and 5, so you have to find the number that would be the best, which is 15. Then you have to multiply the numerator by how many times you went up for that number, for 2/3 would be times 5, and 1/5 would be times 3. Doing this will get you your answer, 13/15.

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The information regarding the sample shows that the 10% of condition is not met for the samples.

From the information, the coach selects a random

sample of 5 of the 11 players on his team and 5 of the 11 players on the rival team and records the number of free throws they each made in their most recent game.

n = total number = 11

x = sample selected = 5

p = 5 / 11 = 0.45

Multiplying p by n will be:

= 0.45 × 11

= 5.

This is less than 10%.

In this case, the condition for inference isn't met

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Answer:

(B)  24

Step-by-step explanation:

The solution to the inequality √3r + 5 > 1 is r > 16/3.

To solve the inequality √3r + 5 > 1, we can follow these steps:

Subtract 5 from both sides of the inequality:

√3r + 5 - 5 > 1 - 5

√3r > -4

Square both sides of the inequality to eliminate the square root:

(√3r)^2 > (-4)^2

3r > 16

Divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 16/3

r > 16/3

Therefore, the solution to the inequality √3r + 5 > 1 is r > 16/3.

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Answer:

5a. $1.50R + $7

5b. 14 rides

Step-by-step explanation:

5b. $28 - $7= $21/1.50= 14

He can go on 14 rides

If rides be x

The equation is

#B

Put y=28

Total 14 rides

Answer:

6n+2

Step-by-step explanation:

Composing f(x)=2x-8 and g(x)=1/2x+4 results in the identity function, f(g(x)) = x.

To compose the two functions, we substitute g(x) into f(x) in place of x:

f(g(x)) = 2(g(x)) - 8

= 2(1/2x + 4) - 8

= x + 8 - 8

= x

Therefore, composing the two functions results in the identity function, f(g(x)) = x.

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Answer:

a=-1

Step-by-step explanation:

2(a+3) -4

you bring it to the other side

2a + 6-4 so 2a+ 2

2a =-2

a =-1

Answer:

Step-by-step explanation:

Answer:

40 photos

Step-by-step explanation:

\(\frac{3}{10} =\frac{12}{y}\)

3 × y = 12 × 10

3y = 120

y = 40

\(\\ \rm\longmapsto Area=255m^2\)

\(\\ \rm\longmapsto LB=255\)

\(\\ \rm\longmapsto 9L=255\)

\(\\ \rm\longmapsto L=\dfrac{255}{9}\)

\(\\ \rm\longmapsto L=28.3m\)

Answer:

439999.999999999999999

Step-by-step explanation:

Answers:

=============================================

Explanation:

Part (1) Finding the mean

Add up the values to get

80 + 90 + 10 + 75 + 90 + 95 + 99 = 539

Then divide by 7 because there are 7 values in this list

539/7 = 77

The mean is 77

--------------------------

Part (2) Finding the median

First we'll need to sort the values from smallest to largest

{80, 90, 10, 75, 90, 95, 99}

will sort to

{10, 75, 80, 90, 90, 95, 99}

The middle most value is 90 since we have three items below it {10,75,80} and three items above it {90, 95, 99}.

The median is 90

--------------------------

Part (3) Which is the better measure of center?

Nearly all of the values are clustered from 75 to 99. The value 10 is an outlier since it's far from the main cluster. There are more technical processes used to find out if 10 is actually an outlier or not, but we won't deal with that right now.

The much smaller outlier pulls on the mean to make it smaller than what it should be. The mean 77 is too small to represent what the center should be. The median is not affected by outliers, which is why it's used in applications such as home prices.

The median 90 is the better measure of center.

Answer:

I tried c and i got it wrong

Step-by-step explanation:

its not c

The unitary method is used to find the unit value of the quantity. The price for the buffet after taking half portion of swordfish will be $19.5.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The price for complete buffet is $23 per person.

The price for swordfish per guest is $7.

Then, the price for half portion swordfish is $7 / 2 = $3.5.

Now, the price of buffet without swordfish is  $23 - $7 = $16.

Thus, after taking only half portion of swordfish the new price becomes,

$16 + $3.5 = $19.5

Hence, the new price of the buffet for each person will be $19.5.

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