In a sale, the cost of a car is
reduced by 20%. In the sale it
costs £4,500. How much was it
before the sale?

Answer:3/

Step-by-step explanation:

The dimensions of the paper are 9 by 5 inches

Let x represent the length and y, the width

The given parameters are:

Perimeter, P = 28

Area, A = 45

So, we have

P = 2(x + y) = 28

A = xy = 45

Rewrite as:

2(x + y) = 28

xy = 45

By trial by error, we have:

x = 9 and y = 5

This can be proved as follows:

2(9 + 5) = 28--- true

9 * 5 = 45 --- true

Hence, the dimensions of the paper are 9 by 5 inches

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Using a system of equations, it is found that David is 12 years old.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

David is three times younger than the dad and twice as old as Rebecca, then:

Rebecca is 30 years younger than the dad, hence:

z = y - 30.

Then, since x = 2z and z = y - 30 and y = 3x, we solve for x to find David's age.

x = 2(y - 30)

x = 2(3x - 30)

x = 6x - 60

5x = 60

x = 60/5

x = 12.

David is 12 years old.

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Using translation concepts, the equation of the graph F(x) is given as follows:

F(x) = -x² - 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:

F(x) = -x² - 3.

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Answer:

9$

Step-by-step explanation:

$3.49 rounds to 3 dollars since it is not half of a dollar. If it was $3.50 (which is half of a dollar) it would round to 4 dollars, but it isn't so it just rounds to $3. $1.14 rounds to one dollar, but since there were three of them  there will be a total of three dollars (approximately) in oranges. $3.46 rounds to $3. Add all three estimates together and you get 9 dollars :)

Answer: C

Step-by-step explanation:

See attached image.

Probability of average height of women is 0.1379

First check to see if the Central Limit Theorem applies. Since n > 30, it does. Next we need to calculate the standard error. To do that we divide the population standard deviation by the square-root of n, which gives us a standard error of 0.646. Next, we calculate a z-score using our z-score formula:

Z=(X−μ)/S.E.

S.E = σn/√n

S.E =3/√ 9

S.E=1

Plugging in gives us:

(64−63)/1 = 1

Finally, we look up our z-score in our z-score table to get a p-value.

The table gives us a p-value of,

P(z<1.0)=1−P(z>1.0)

P(z<1.0)=1−0.8621

P(z<1.0)=0.1379

So, Probability of average height of women is 0.1379

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The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

Capacity of a cylinder is seen as its volume

Volume of a cylinder = πr²h

The heights of the cylinders are

a. 3cm

b. 9cm

c. 5cm

Let's find the radius

Capacity = 3. 142 × r² × 3

725 = 3. 142 × r² × 3

r² = [tex]\frac{725}{3. 142 * 3}[/tex]

r² = [tex]\frac{725}{9. 426}[/tex]

r² = 76. 91

r = √76. 91

r = 8. 77cm

Radius of the cylinders = 8. 77cm

For cylinder with height of 9cm

Capacitance = πr²h

Capacitance = 3. 142 × 8. 77 × 8. 77 × 9

Capacitance = 2174. 94 cm³

For cylinder with height of 5cm

Capacitance = 3. 142 × 8. 77 × 8. 77 × 5

Capacitance = 1208. 30 cm³

Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

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The composition of similarity transformations that maps Triangle LMN to TriangleL'M'N is a dilation with a scale factor less than 1 and then a reflection. Opion A. This is further explained below.

Generally, In the case of a reflection across the y-axis, the y-coordinate of a point stays the same but the x-coordinate is changed into its inverse.

Triangle LMN has the coordinates (2, 1), (1, 1), and (1, 3).

(-4,-4) (-3,-4) (-3,-2).

In conclusion, Assuming that the coordinates (2, 1), (1, 1), and (1, 3) of Triangle LMN. This is the translation 5 units down (x,y-5): Two units to the right (x+2, y-5) of the coordinates (2,-4), (1,-4), and (1,-2): (4, -4), (3, -4), (3, -2)

It is a reflection along the y-axis, with coordinates of (-4,-4) and (-3,-4) (-3,-2)

Therefore, Triangle L'M'N' is the result of the transformation sequence in Option A.

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Answer: a

Step-by-step explanation:

i got it right on the test

Answer:

30

Step-by-step explanation:

Sum of the ratios = 3 + 4 + 5 = 12

Smallest share = 18 bags

Ratio of the smallest share = 3

Let the largest share = x

From the question

18 ------------ 3

x --------------5

Cross multiply

3x = 18 × 5

Dividing bothsides by 3

X = 18 × 5/ 3

X = 90 / 3

X = 30

Therefore.

The largest share = 30

Answer:

C. or third choice.

Step-by-step explanation:

For x ≥ -3 you will need a colored in circle because it has a greater than or equal to sign, and it is shaded to the right.

For x < 3 you will need a circle that is not colored in because it is a less than sign, and it is shaded to the left.

Hope this helps!

If not, I am sorry.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.  The value of x,y, and z is √38,  (5√38)/3, and √80.556, respectively.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The measure of Y is,

y² = 5² + 3²

y = √38

The measure of ∠C,

Tan(∠C) = 5/3 = z/√38

z = (5√38)/3

The measure of z is,

z² = 5² + x²

x = √80.556

Hence, the value of x,y, and z are √38,  (5√38)/3, and √80.556, respectively.

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Answer:

1) x+45=180

x=180-45

x=135

ans.=135

2) (2x-30)+y= 180

28xy=180

xy= 180-28

y=152

The probability that both the chips are green is: 4/225

The given parameters are:

Green = 2

Blue = 5

Yellow = 8

Total = 15

The probability that both the chips are green is:

P = P(green) * P(green)

This gives

P = 2/15 * 2/15

Evaluate

P = 4/225

Hence, the probability that both the chips are green is: 4/225

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The figure that shows equivalent ratios for the ratio of sugar to flour would be Figure 2.

The ratio os sugar to flour is 1:3. An equivalent ratio would be one that is 1:3 or 3:1.

Figure 2's ratios are:

6 :2

9:3

12:4

When all of these are taken to their simplest form, we get:

3 : 1

Figure 2 is therefore an equivalent ratio.

Rest of the question is:

he ratio of sugar to flour used in a pudding recipe is 1:3. Which figure shows equivalent ratios? #1: 3,1. 9,2. 3,15 #2: 6,2. 9,3. 12,4 #3: 9,5. 6,3. 13,1 #4: 9,4. 6,3. 3,2

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A company's prospectus includes: A) The company's investment options.

Company's prospectus can be defined as the document that entails  detail information of a company investment option that are available for sales to potentials buyers or investors.

Examples of the investment options are:

Therefore the correct option is A.

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A company's prospectus is a formal legal document designed to provide information and full details about an investment offering for sale to the public.

Answer:2.5

Step-by-step explanation:

4+1/2-2=2 1/2 according to the formula

Answer:

36/43 I think.

Step-by-step explanation:

Wyzant

Answer:

463/50 or 9 13/50

Answer:

9.26=9 13/50

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

9.26=9.26/1

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100

9.26/1×100/100=926/100

Find the Greatest Common Factor (GCF) of 926 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

926÷2/100÷2=463/50

Simplify the improper fraction,

=9 13/50

In conclusion,

9.26=9 13/50

Answer:

1. 8.8 gallons per hour

2. 9:20 am

3. 8:04 am

Step-by-step explanation:

The tank lost 22 gallons of water in 150 minutes (2.5 hours)

This is a rate of 0.14666 gallons per minute or 8.8 gallons per hour

The function: 200 - 0.147(x)

So at 4:30 pm, the tank lost 63 gallons. So at a rate of 8.8 gallons per hour, that means it has been leaking for 7.16 (.16 hours = 9.6 minutes) hours.

So it has been leaking since 9:20 am.

In order for it to completely empty, it needs to drain 115 gallons of water.

At a rate of 8.8 gallons per hour, that means it needs 13.068 hours or 13 hours and 4 minutes.

So it will be empty at 8:04 am.

Answer:

A

Step-by-step explanation:

this can be done without any calculator, which I did and explain below :

the circumference of a circle is always

2×pi×r

with r being the radius, which is always half of the diameter.

so, the circle X circumference is

pi×15

circle Y

pi×20

the difference is

20×pi - 15×pi = 5×pi

5×pi is half of 10×pi, which would be 10×3.1415... = 31.415...

half of that is about 15.7.

so, A is the correct answer

Answer:

cual es la respuesta de esta pregunta

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

Since there are 5 different flavors,

let

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

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Answer:

[tex]\sqrt{95}/5[/tex]

Answer:

4/6= 2/3

Step-by-step explanation:

5/6 - 1/6 = 4/6

lowest form : 2/3

Answer:

Hello! The answer to your question is 2/3.

Step-by-step explanation:

In this problem, you have to find how much more soda Kari drank than Aisha. To find how much more, you will have to use subtraction:

[tex]\frac{5}{6}- \frac{1}{6} \\= \frac{4}{6}[/tex]

4/6 can be simplified by dividing the numerator and denominator by 2:

4/2 = 2

6/2 = 3

Therefore, your answer is:

[tex]\frac{2}{3}[/tex]

Answer:

49 cm²

Step-by-step explanation:

Half circle: 1/2 π r² ≈ 1/2 * 3.14 * 16  = 25.12

Rectangle: 3*8 = 24

Add them: 25.12 + 24 ≈ 49

Area of shaded region is 42sq.cm

I hope this helps u.