At its peak, an online shopping site was selling about 420 items per second. At this rate, how many items would it sell in 30 minutes ( 1,800 seconds)?

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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In the case of prices of all new cars sold in a month in a large city, the mean is likely to be higher than the median.

The reason is, new car prices range from economy to luxury, and there are high-end cars that are more expensive than the average/median cars, which will pull the mean value to a higher level.

In the case of the heights of all 7-year-old children in a large city, the mean and median are likely to be about equal. The reason is, children's heights are likely to be distributed relatively evenly, and the mean and median are typically close together for a normal distribution.

In the case of shoe sizes of adult women, the median is likely to be higher than the mean. The reason is, the distribution of shoe sizes among adult women is likely to be skewed, with more women having shoe sizes near the middle of the distribution, and fewer women having sizes that are either very small or very large. This will pull the median to a higher level than the mean.

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Answer: 9

Step-by-step explanation:

The value of x from the given figure is 17 units.

Given that, triangle GFE is similar to triangle CBE.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Here,

GE/EB = FE/EC

⇒ 60/(x+5) = (4x-1)/24

⇒ (x+5)×(4x-1)=24×60

⇒ 4x²+20x-x-5=1440

⇒ 4x²+19x-1445=0

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x=(−19±3√2609)/8

Decimal Form:

x=16.77938918…, -21.52938918…

x=17

Therefore, the value of x from the given figure is 17 units.

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The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

C

Step-by-step explanation:

FUNCTION A

21 : 7 = 3

FUNCTION B

8: 4 = 2

3 is greater than 2

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Answer:

E. cluster

Step-by-step explanation:

hope that helps.

2*(8+16/8)-3

= 2*(8+2)-3

2*10-3

20-3

17

Answer:

$188.91

Step-by-step explanation:

$999*.09=$89.91

$89.91+$99=$188.91

The value of a, b and c are found as 6, 10 and 2 respectively.

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

X intercept: x = 4 or in point form (4,0)

Zero for the function at (4, 0)

Y intercept : y = 160  or in point form (0,160)

slope = -40  mph

Step-by-step explanation:

The y-intercept, x-intercept are directly obtained from the graph by noticing the points on the axes where the line crosses them.

The slope is calculated using the points (0, 160) and (4, 0) and the formula for the slope of the segment that joins them:

slope = (y2 - y1)/(x2 - x1) = (160 - 0) / (0 - 4) = -160/4 = -40

and the units of the slope are miles over hour (that is miles per hour or mph)

Answer: I can not see the picture

Step-by-step explanation:

can you show it?

Answer:

D. b = 128

Step-by-step explanation:

Find the diagram to the question attached.

From the diagram, line p is parallel to line q i.e p//q

You must understand that the angle at the opposite side of the transversal are equal i.e alternate angle.

From the diagram, <b = 118° (alternate angle)

Hence option D is correct

Answer:

D) o b = 128

Step-by-step explanation:

YW :)

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Step-by-step explanation:

5 tablespoons = 2 cups milk

1 tablespoon = 2/5 cups milk

40 tablespoons = 2/5 × 40 = 16 cups milk

Answer:

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

Step-by-step explanation:

Black Diamond:  ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.

Bunny Hill:  ChargeBH(h) = $75 + ($10/hr)h

We equate these two formulas to determine when the cost of using the ski slopes is the same:

ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h

We must now solve for h, the number of hours spent skiing:

50 + 15h = 75 + 10h

Grouping like terms, we obtain:

5h = 25, and so h = 5 hours.

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

Answer:

a proportion of two variable quantities when the ratio of the two quantities is constant. Hope this helps!

Step-by-step explanation:

Answer:

a proportion of two variable quantities when the ratio of the two quantities is constant.

Step-by-step explanation:

the probability that exceeds 4 is given as follows,

P(x >4 ) = P (x = 6) + P (x = 8)

= 0.27 + 0.23

= 0.50

so probability that x exceeds 4 is 0.50

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Step-by-step explanation:

a)

0.00000000007

b)

0.00000001

Answer:

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

There are various combinations of coins.

In total there are:

The total animals = 139, and we can substitute this value into equation (3) to obtain:x = 2(139) - 279 => x = -1This doesn't make sense since we can't have negative chickens.

Let the number of chickens be x and the number of cows be y in the backyard. We can create two equations based on the given information:The total number of animals is x + y = total animals ...

(1)The total number of eyes and legs can also be expressed as 2x + 2y = 366 (since each animal has two eyes) and 2x + 4y = 558 (since each chicken has 2 legs and each cow has 4 legs).

Simplifying the equations, we get:x + y = total animals ... (1)x + 2y = 279 ... (2)From equation (1),

we can substitute y = total animals - x in equation (2) to obtain:x + 2(total animals - x) = 279 => 2total animals - x = 279 => x = 2total animals - 279 ... (3)We also know that x + y = total animals, so y = total animals - x.

Substituting equation (3) into this expression, we get:y = total animals - (2total animals - 279) => y = 279 - total animals ... (4)

To find the value of x, we need to know the value of total animals. We can obtain this value by adding equations (1) and (4):x + y + (279 - total animals) = total animals => x + y = 279/2 => x + y = 139.5

Since x and y are both whole numbers, they must add up to an even number. The only possible value is 70 + 69 = 139.  Therefore, there must be a mistake in the problem statement or calculations.

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The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Volume of a Rectangular Prism = length x width x height

Volume = 20

Length = 2

Width = 2

Height = d

20 = 2 x 2 x d

20 = 4 x d

d = 5

Answer: d = 5 centimeters

Hope this helps!

Answer:

d = 5 cm

Step-by-step explanation:

Volume of a rectangular prism: L*W*H

Substitute the values above into the formula:

V = L*W*H

20 = 2*2*d

20 = 4d

/4    /4

5 = d

Therefore, the value of d is 5 cm.

Hope this helps!

Answer:

2.83333333333

Step-by-step explanation:

(3 2/5) / (1 1/5) = 2.83333333333

Answer:

85/30 or 2.833333333

Step-by-step explanation:

When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.

It is also much easier to solve after you convert these numbers to improper fractions.

In this case,

3 2/5 = 17/5

1 1/5 = 6/5

17/5 ÷ 6/5

17/5 x 5/6

85/30 (17/6 reduced)

or

2.83333333333333333333

The Direction Angle Of The Given Vector is θ = 59.086

Given :

The Direction Angle Of The Given Vector. V <-3,5) Give Your Answer In Degrees In The Interval [0°, 360°). round to the nearest hundredth (2 decimal places). give just the number without the degree symbol.

what is Direction angle of vector ?

The direction angle of a vector v is the angle from the positive x -axis to v .using the arc tangent of the ratio of the vertical component of the vector and the horizontal component of the vector.

tan θ = b / a

= 5 / -3

= -5 / 3

= 1.67

θ = tan^-1 ( 1.67 )

θ = 59.086

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Answer:

7.008, 7.090, 7.180

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Divide 176 by 8 to get 22 and then multiply 22 by 5 to get 110

Answer:

110

Step-by-step explanation:

176/8 is 22 so there are 22 slices per loaf.

To find the amount of slices in 5 loaves you multiply 22 and 5 to get 110.

Hope this helped :)