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0.47 and 0.47 as simplified fractions

Answer:

BC = 0.5 * AC

Step-by-step explanation:

Since B is the midpoint

Answer:

18

Step-by-step explanation:

no. of boys=2x

no.of girls=x

total no. of pupils=2x+x

27=3x

27/3=x

x=no.of girls=9

no.of boys =2x=2*9=18

Answer: 18 Boys

Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice

Answer:

604800 different ways to order the program

Step-by-step explanation:

using the formula for permutation, not combination because the order of the records matter

n!/(n-r)!

n is the total number of choices (10)

r is the number that is chosen from the total number (7)

Answer:

g(x) = x^2 + 6

Step-by-step explanation:

We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).

g(x) = (x - h)^2 +k

It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.

g(x) = (x-0)^2 + 6

g(x) = x^2 + 6

Answer:

Step-by-step explanation:

First find the number of students who stayed home.

# students who stayed home = Total number - the choir members.

Total number = 126

Choir members = 94

Stay at homes = 126 - 94 = 32

Formula

Stay at home % = (32 / 126) * 100

Stay at home %= 0.25397 * 100

Stay at home % = 25.397

To the nearest whole %, the answer is 25

Answer:

126/94 = 1.34

1% of the students stayed at school

Step-by-step explanation:

Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

32 +x+x=180(Sum of angles of a triangle)

32+2x=180

2x=180-32

2x=148

x=148/2

Therefore,X=74

Answer:

the answer for x is 74°

Step-by-step explanation:

[tex]32 + x + x = 180 \\ 2x + 32 = 180 \\ 2x = 180 - 32 \\ 2x = 148 \\ x = 74 \: degrees[/tex]

The questions are illustrations of combination and probability

The given parameters are:

Monitors = 4

Keyboard = 2

CPU = 4

Printer = 3

The number of systems to choose from is:

n = 4 * 2 * 4 * 3 = 96

Hence, Patrick can choose from 96 systems

The given parameters are:

Containers = 2

Flavors = 4

The number of total combination to choose from is:

n = 2 * 4C3 = 8

Hence, the number of total combination is 8

The given parameters are:

Blouse = 5

Skirt = 3

Shoes = 4 pairc

The number of ways to dress up:

n = 5 * 3 * 4 = 60

Hence, Emma can dress up in 60 ways

The given parameters are:

Students = 6

Members of committee = 3

The number of ways to form a committee is:

n = 6C3 = 20

Hence, there are 20 ways to form the committee

We have:

Letters = 11

Consonnats = 7

The probability of selecting a consonant is:

P = 7/11

P = 0.636

Hence, the probability of selecting a consonant is: 0.636

We have:

Total students = 34

Students not in grade 8 = 25

The probability that a student is not in grade 8 is:

P = 25/34

P = 0.735

Hence, the probability that a student is not in grade 8 is 0.735

Not enough details to solve

There are 9 prime numbers in a total number of 31 numbers from 4 to 34.

So, the probability that a number is prime is:

P = 9/31

P = 0.290

Hence, the probability that a number is prime is 0.290

Read more about combination and probability at:

https://brainly.com/question/24756209

https://brainly.com/question/11732255

Answer:

Below in bold.

Step-by-step explanation:

The triangle ABC is a right triangle as BCD is a tangent.

So m < y = 90 - 30 = 60 degrees

The angle at the centre O = 2*30 = 60 degrees  (angle subtended at centre theorem)
m < x =  180 - 90 - 60 = 30 degrees

Step-by-step explanation:

y = 60

x= 30

these are the answer s

The average amount of time it takes a professional football player to run a mile is = 18.96 seconds

The total number of players that made up the sample data = 20

The average time for the whole players was = 6.32minutes.

If 20 players = 6.32 mins

∴ 1 player = ?

Make the unknown the subject of formula,

? =  1 × 6.32/20

? = 6.32/20

? = 0.316 mins

To converted to seconds multiply by 60,

Therefore, 0.316 × 60 = 18.96 seconds.

Learn more about time conversion here:

https://brainly.com/question/11947673

Answer:

815.76 is your answer

Step-by-step explanation:

The amount of profit the investor earns is 9340 dollars. Then the correct option is D.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.

The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.

Then total cost price of the shares will be

→ 19.84 × 400 = $7936

The total selling price of the shares will be

→ 43.19 × 400 = $17,276

Then the profit is the difference between the total cost price of shares and the total selling price of the shares.

→ 17276 - 7936 = $ 9340

More about the Algebra link is given below.

https://brainly.com/question/953809

Answer:

180 - 90 - 60

Step-by-step explanation:

all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30

Answer:

30

Step-by-step explanation:

A triangle always = 180 degrees :)

So first we can add :D

60 + 90 + a = 180

150 + a = 180

Now we subtract :)

180 - 150 = 30

The answer is 30!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

substitution or elimination

Answer:

6 is A

Step-by-step explanation:

-5 x -4 = 20

-5 x 7x = -35x

Step-by-step explanation:

First, Join OB and OC.

∠BOC = 2∠BAC

(∵ angle subtended by an arc at the centre = double the angle subtended by it at any point on the remaining part of the circle)

=> ∠BOC = 2 x 30°...(∵ ∠BAC = 30°, Given)

=> ∠BOC = 60°

In, ΔOBC, OB = OC...(radii of same circle)

∴ ∠OCB = ∠OBC...(∠s opp. equal sides of a triangle are equal)

As the sum of angles of a traingle is 180°,

∠OBC + ∠OCB + ∠BOC = 180°

∠OBC + ∠OBC + 60° = 180°...(∵∠BOC = 60°,proved above)

2∠OBC = 120° => ∠OBC = 60°

Thus, we have ΔABC such that,

∠BOC = ∠OBC = ∠OCB = 60°

ΔOBC is an equilateral triangle

BC = OB i.e. BC is equal to the radius of circle.

Answer:

I'm not 100% sure but I think it is 200.96 in (201 in if rounded)

Step-by-step explanation:

Answer:

200.96 inches squared

Step-by-step explanation:

The radius of the pizza is 8(half of the diameter).

The formula for are of a circle is pie*radius^2.

So you would do 3.14 * 8^2.

8^2 is equal to 64.

Your new equation is 3.14 * 64, which equals 200.96.

Answer:

Step-by-step explanation:

In order to solve this inequality, we should divide both sides by 9:-

[tex]\sf{9x < 72}[/tex]

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

[tex]\sf{x < 8}[/tex]

Hence, that's the solution to the inequality.

It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)

(Option C is correct :) )

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

x < 8

solving steps:

Answer:

17x+7

Step-by-step explanation:

(10x+3)-(-7x-4)

Done!

Answer:

x≈5

Step-by-step explanation:

x^2-5x6=0

x^2-30=0

x^2-30+30=30+0

x^2=30

x≈5

Answer:24/3/7/5 = 8/ 35 ≅ 0.2285714

Step-by-step explanation:

Divide: 24/3: 7 = 24/3· 1/7

= 24 · 1/3 · 7

= 24/21

= 3 · 8/3 · 7= 8/7

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 7/1 is 1/7) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 8/

7

.

In other words - twenty-four thirds divided by seven = eight sevenths.

Divide: the result of step No. 1 : 5 = 8/7 : 5 = 8/7 · 1/5

= 8 · 1/7 · 5

= 8/35

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/1

is 1/5

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eight-sevenths divided by five = eight thirty-fifths.

Answer: $9.55.

Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%.  So 6.2% of $8.99 is 0.55738.  We have to add 0.55738 with 8.99 to find the total cost of her meal:

8.99 + 0.55738 = 9.54738, or $9.55.

Therefore, Sarah's bill has a total of $9.55 with the tax.

Hope this helps! :)

The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

The target profit is the profit that is expected by a manufacturer from the sale of its product.

The target profit can be established and used to determine the selling price.

When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.

Fixed costs per print = $15,000

Number of Bibles per print = 5,000

Fixed costs per Bible = $3 ($15,000/5,000)

Variable costs per Bible = $25

Expected profit per Bible = $10

The selling price = $38

Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

Learn more about determining the selling price at https://brainly.com/question/1153322

Using the vertex of the quadratic equation, it is found that the profit will be maximized when each cookbook is sold for $8.25.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the function is modeled as follows, considering x as the price divided by $0.05.

P(x) = -0.1x² + 15x + 120.

The coefficients are a = -0.1 < 0, b = 15, c = 120, hence the x-value of the vertex is given by:

[tex]x_v = -\frac{15}{2(-0.1)} = \frac{15}{0.2} = 75[/tex]

75 increases of $0.05, hence the price will be of:

4.5 + 75 x 0.05 = $8.25.

Hence, the profit will be maximized when each cookbook is sold for $8.25.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Answer:

30th percentile = 105 90th percentile = 176

Step-by-step explanation:

Arrange the data set in order from smallest to largest:

100, 100, 105, 113, 129, 132, 146, 152, 176, 200

30th percentile

r = number of data values = 10

q = percentile = 30

q/100 = 30/100 = 0.3

q/100 × r = 0.3 × 10 = 3

Therefore, count the 3rd number in the ordered set.

⇒ 30th percentile = 105

90th percentile

r = number of data values = 10

q = percentile = 90

q/100 = 90/100 = 0.9

q/100 × r = 0.9 × 10 = 9

Therefore, count the 9th number in the ordered set.

⇒ 90th percentile = 176

30th percentile = 105, 90th percentile = 176

Explanation:

data {129, 113, 200, 100, 105, 132, 100, 176, 146, 152}

arrange in ascending order:

{100, 100, 105, 113, 129, 132, 146, 152, 176, 200}

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

Answer:

D. $43.00x + $466.43 < $1,059.35

Step-by-step explanation:

He has $1,059.35.

The amount of speakers he buys is x.

Each speaker is $43.00, and he is buying one television, which is $466.43.

All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.

Hope this helps!

Answer:

D

Step-by-step explanation:

its $43 each and he wants to buy more than one so that means thats x

that marks out C

so 43.00x +466.43 is less than 1,059.35

I really feel like one of them should have less than/greater than or equal to sign but without I think its D

Answer:

15x^2 + 14x - 8.

Step-by-step explanation:

(3x + 4)(5x - 2)

= 3x(5x - 2) + 4(5x - 2)

= 3x*5x + 3x*-2 + 4*5x + 4*-2

= 15x^2 - 6x + 20x - 8

= 15x^2 + 14x - 8.