Contestants in the Run-and-Bike-a-thon run for a specified length of time, then bikefor a specified length of time. Jason ran at an average speed of 5.4 mi/h and biked atan average speed of 20.6 mi/h, going a total of 14.6 miles. Seth ran at an averagespeed of 10.8 mi/h and biked at an average speed of 18.8 mi/h, going a total of 18miles. For how long do contestants run and for how long do they bike? Round to thenearest hundredth if necessary.Contestants runhour and bikehour.

Answer:

x<7

Step-by-step explanation:

Consider the number x (as mentioned in the question). Now carefully pay attention to the given condition

⇒"The sum of a number and 3 is less than 10"

Remember the notation of  the term "less than" in mathematical context is indicated by "<" sign. Hence our inequality is

⇒ x+3<10

adding or subtracting any number from the both sides of an inequality DOESN'T change its direction. Thus, if we cancel out 3 from both sides it won't swap the inequality. Therefore

⇒ x+3-3<10-3

⇒ \(x<7\)

In terms of  interval notation

\(\implies x\in( -\infty,7)\)

In conclusion

The answer is D) \(x < 7\)

Let the number be x

The sum of number and 3

Is less than 10

Lets solve it

Hence

Option D is correct

Answer:

X=-52

Step-by-step explanation:

-4(X+10)-6=-3(x-2)

-4x-40-6=-3x+6

-4x+3x=6+46

-x=52

X=-52

Answer:

About 48 students play football

Step-by-step explanation:

400 times 12% is 48

Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55

Answer:

A is the answer

Step-by-step explanation:

Answer:

12kg=7.68

1.5=87

Step-by-step explanation:

I found the cost per kg

The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The standard form for linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The equation of line passing through (5, 2) and (-4, -16) is:

y - 2 = [(-16-2)/(-4-5)](x - 5)

y - 2 = 2(x - 5)

y = 2x - 8

y + 16 = 2(x + 4)

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Answer:

56 but i could be wrong

Step-by-step explanation:

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

B. Theorem is the term that refer to true statements.

According to the definitions of the terms we have:

A confirmed factual assertion is referred to as a theorem.

• Proposition: A truthful assertion that's less significant but nonetheless intriguing.

• Lemma: A true statement that serves as an example of another true statement.

significant theorem that aids in the validation of other findings).

• Corollary: A true statement that can be inferred directly from a premise or theorem.

• Proof: The justification for why a claim is accurate.

• Conjecture: An assertion that is deemed true but for which there is no supporting evidence. (An assertion that is being put forth as being true).

• Axiom: A fundamental presumption regarding a mathematical scenario. (a premise we take to be true)

Hence, B. Theorem is the term that refer to true statements.

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Answer:

-1opw+9p^2q+5q^2

Step-by-step explanation:

Answer:

3,-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

uhh

Answer:

12?

Step-by-step explanation:

Answer:

it's 14,000

Step-by-step explanation:

(sea level means 0)

Answer:

3215 .36 m³ is the required volume.

Step-by-step explanation:

Base area of Cylinder = 64π m²

Height of cylinder is equal to twice the radius .

As we know that ,

★Base Area of Cylinder = πr²

where,

π is taken as 22/7 or 3.14

r is the radius of cylinder

Substitute the value we get

↝ 64 π = πr²

↝ 64 = r²

↝ √64 = r

↝ 8 = r

↝ r = 8 m

Now, it is given that height is equal to twice of radius

Therefore ,

height = 2r = 2×8 = 16 m

★Volume of Cylinder = πr²h

substitute the value we get

↝ volume of Cylinder = 3.14 × 8² × 16

↝volume of Cylinder = 3.14 × 64 × 16

↝volume of Cylinder = 3215 .36 m²

Hence, the required volume of cylinder is 3215 .36 m³.

Answer:

3217.0

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Domain: (−∞,3)∪(3,∞),{x|x≠3}

Range: (−∞,−4)∪(−4,∞),{y|y≠−4}

Vertical Asymptotes: x = 3 Horizontal Asymptotes: y = − 4

Step-by-step explanation:

Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50

Let's define the variables:

Then we can write a system of equations so we will get:

5x + 3y = 22

2x + 12y = 25

To solve this, we can subtract 4 times the first equation fom the second one:

2x + 12y - 4(5x + 3y) = 25 - 4*22

2x + 12y - 20x - 12y = -63

-18x = -63

x = -63/-18

x = 3.5

That is the cost of each pound of trail mix, and replacing that in one of the equations:

2*3.5 + 12y = 25

y = (25 - 2*3.5)/12

y = 1.5

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Answer:

7.4 < h

Step-by-step explanation:

89 < 12h

Divided both sides by 12

7.4 < h

The answer is:

Work/explanation:

The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.

So I divide each side by 12

\(\bf{7.417 < h}\)

Its 264.

This is because its looking for the lateral surface area. And the formula for that is S=Ph.

So that means you add up the perimeter and multiply the height.

The final price of the shoes after successive discounts is $77.22.

What is a discount?

A discount is a reduction in the regular selling price of a good or service, either in terms of money or as a percentage.

Main Body:

Sale price = Original price - discount

The formula for successive discount is given by=

Cost price*(1 - discount₁/100)*(1 - discount₂/100)*(1 - discount₃/100)

Now calculating:

According to the question , Cost price = $165

sale price = 165*(1-0.35)*(1-0.20)*(1-0.10)

                 = 165*0.65*0.8*0.9

                 = $77.22

Hence the answer to sale price of the shoe would be $77.22

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Answer:

DOWN BELOW

Step-by-step explanation:

It is recommended that pianists spend between 30 minutes and 4 hours practicing each day. The practice sessions will differ for beginners and advanced pianists depending on their level of ability. Beginners will benefit the most from shorter sessions.

(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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Answer:

b.nun1

Step-by-step explanation:

Answer:24

Step-by-step explanation:

If Jia sells duck eggs and a customer buys 4 cartoons and there are 6 eggs in each cartoon that means 6(4)=Number of eggs customer buys in all

One cartoon= 6 eggs

Two cartoon = 12 eggs

Three cartoon = 18 eggs

Four Cartoon = 24 eggs

So the Customer buys 24  eggs in all