What is the speed of a truck the travel 496km in 6.2 hours

To find the fraction of cupcakes with chocolate sprinkles, we multiply 5/7 (chocolate cupcakes) by 1/5 (those with sprinkles), resulting in 1/7 of all cupcakes having chocolate sprinkles.

The student's question is about calculating the fraction of cupcakes with chocolate sprinkles from the total number of cupcakes bought for a party. To find the answer, we can use a two-step process involving fractions. Since 5/7 of the cupcakes are chocolate and of those, 1/5 have chocolate sprinkles, we multiply these two fractions to find the fraction of all cupcakes that have chocolate sprinkles.

The calculation is as follows: (5/7) × (1/5) = 5/35 = 1/7. Thus, 1/7 of the cupcakes have chocolate sprinkles. This approach to solving the problem demonstrates the basic principle of multiplying fractions to determine a portion of a subset.

Answer:

The stock Norman purchased increased in its value by 25%.

Step-by-step explanation:

Original Value of the stock = $ 420

New(Current) value of the stock = $ 525

We have to find the percentage change in the value of stock. The formula to calculate the percentage change is:

[tex]\text{Percentage Change}=\frac{\text{New Value - Original Value}}{\text{Original Value}} \times 100\%[/tex]

Substituting the given values into this formula results in:

[tex]\text{Percentage Change}=\frac{525-420}{420} \times 100\% \\\\ \text{Percentage Change}=\frac{105}{420} \times 100\%\\\\ \text{Percentage Change}=0.25 \times 100\% \\\\ \text{Percentage Change}=25 \%[/tex]

A positive value of Percentage Change indicates a growth. This means that the stock Norman purchased increased in its value by 25%.

The value of Norman's stock has increased by 25%.

To determine the percentage increase in the value of Norman's stock, we need to calculate the percent change. Percent change is calculated by subtracting the original value from the new value, then dividing the difference by the original value and multiplying by 100. In this case, the original value of the stock is $420 and the new value is $525.

Percent change = ((New value - Original value) / Original value) * 100

Percent change = (($525 - $420) / $420) * 100
Percent change = ($105 / $420) * 100

Percent change = 0.25 * 100

Percent change = 25%

The value of Norman's stock has increased by 25%.

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All the given options are valid and correct.

If Karen boards the bus first, the possible outcomes for the event are those where the other three band members board the bus in various orders after Karen. Let's consider the options:

1. KHIJ: This represents Karen boarding first, and the remaining band members (Harry, Isabel, and Jose) boarding in the order H, I, J. This is a valid outcome.

2. KHIJ, KHJI: These arrangements represent Karen boarding first, and the remaining band members boarding in different orders (H, I, J and H, J, I). Both are valid outcomes.

3. KHIJ, KHJI, KJHI, KJIH: These arrangements include all possible orders of the remaining band members after Karen. All of them are valid outcomes.

4. KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH: These arrangements cover all possible orders of the band members after Karen, including swapping the positions of Harry and Isabel. All are valid outcomes.

Therefore, the possible outcomes for this event are all of the given options.

The given question seems incomplete, but the complete question could be:

Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person's name represents that person's position as he or she boards the bus: first, second, third, and fourth. If we know that Karen boards the bus first, which shows the possible outcomes for this event?

A. KHIJ

B. KHIJ, KHJI

C. KHIJ, KHJI, KJHI, KJIH

D. KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH

Answer:

  False

Step-by-step explanation:

Since no particular geometry is specified, the relationship between the measure of the arc and the measure of the angle is unknown. The statement must be said to be FALSE.

Answer:

last answer

Step-by-step explanation:

hello : last answer

Answer:

78.5

Step-by-step explanation:

I don't really understand what you are asking, but 25 x pi = 78.5

Answer:

I see your profile everywhere, and the answer is Right scalene Pythagorean triangle.

Step-by-step explanation:

To determine the volume of a cylinder-shaped candle using its radius and height measurements, the formula πr²h is applied. Given a radius of 3 inches and a height of 5 inches, about 141 cubic inches of wax is required.

The problem at hand involves finding the volume of a cylinder, representing the amount of wax needed to create a candle. Given the measurements, the radius is 3 inches and the height is 5 inches. We use the formula for the volume of a cylinder, which is πr²h. Plug the values into the formula, substitute 3.14 for π, and calculate. Here are the calculations: Volume = 3.14 * 3² * 5 = 3.14 * 9 * 5 = 141.3 cubic inches. After rounding to the nearest whole number, you need approximately 141 cubic inches of wax to produce the candle.

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Answer:

76 centimeters squared

Step-by-step explanation:

The formula for the surface area of a rectangular prism is simply 2lw+2lh+2wh. In this case, that is 2(5)(4)+2(5)(2)+2(4)(2)=40+20+16=76 square centimeters. Hope this helps!

The minimum amount of cardboard used for the wrapper will be 76 square cm. Thus, the correct option is C.

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as,

SA = 2(LW + WH + HL)

A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters.

The minimum amount of cardboard used for the wrapper is calculated as,

SA = 2(5 x 4 + 4 x 2 + 2 x 5)

SA = 2(20 + 8 + 10)

SA = 2 x 38

SA = 76 square cm

Thus, the correct option is C.

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Answer:

 (7, 0), (-3, 0)

Step-by-step explanation:

The x-intercepts are the values of x that make the factors zero. A zero factor makes the value of the function be zero.

  x - 7 = 0   ⇒   x = 7

  x + 3 = 0   ⇒   x = -3

The corresponding (x, y) coordinates are ...

  (7, 0), (-3, 0)

The x-intercepts of the quadratic function f(x) = (x-7)(x+3) are (7, 0) and (-3, 0).

The question is about finding the x-intercepts of the quadratic function f(x) = (x-7)(x+3). The x-intercepts occur where the function equals zero, so we set f(x) = 0 and solve for x. This gives us two solutions:

x - 7 = 0, which simplifies to x = 7

x + 3 = 0, which simplifies to x = -3

Therefore, the x-intercepts of the function are at (7, 0) and (-3, 0), with the one having the larger x-value being (7, 0).

Answer:

x = -16

Step-by-step explanation:

subtract the two over first so x/4 = -4

multiply both sides by 4

x = -16

Answer:

x = -16

Step-by-step explanation:

First subtract -2 on both sides. Then you will get x/4 = -4

Then multiply 4 on both sides. This will then give you x = -16 because -4*4 = 16

Answer:

26.04 inches

Step-by-step explanation:

A revolution is in the shape of a circle.

We can therefore say that the bike tires that complete 20 revolutions complete the length of 20 circumferences of the tires.

The length of the 20 revolutions (20 circumferences) is 136 ft

Therefore, the length of one revolution and hence, one circumference is:

C = 136 / 20 = 6.8 ft

The circumference of a circle is given as:

C = pi * d

Where d = diameter of the circle.

Hence, the diameter of the tire will be:

6.8 = 3.14 * d

d = 6.8 / 3.14

d = 2.17 ft

1 foot is equal to 12 inches, hence, 2.17 ft in inches will be:

2.17 * 12 = 26.04 inches

The diameter of the tire is 26.04 inches.

Answer:

A) |x| + 1 B) |x| - 1 C) |x+1| D) |x-1|

Step-by-step explanation:

Just follow what I wrote for other questions and you'll be fine :D

Answer:

the answer would be 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The answer is 60 because you have to multiply 5 times 12 which equals 60.

Answer:

106/2

Step-by-step explanation:

53  1/2 =  106/2

Answer:

Well isn't anyone able to write?

Answer:

What?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

54 cups of rice are needed to feed 135 people.

Step-by-step explanation:

Given:

Balvina knows that 6 cups of rice will make enough spanish rice to feed 15 people.

Now, to find the cups of rice needed to feed 135 people.

Let the cups of rice needed to feed 135 people be [tex]x.[/tex]

As, 6 cups of rice is needed to feed 15 people.

So, 6 is equivalent to 15.

Thus, [tex]x[/tex] is equivalent to 135.

Now, to get the cups of rice needed to feed 135 people we use cross multiplication method:

[tex]\frac{6}{15} =\frac{x}{135}[/tex]

By cross multiplying we get:

[tex]810=15x[/tex]

Dividing both sides by 15 we get:

[tex]54=x\\\\x=54\ cups.[/tex]

Therefore, 54 cups of rice are needed to feed 135 people.

Balvina would need 54 cups of rice to feed 135 people.

Given:

6 cups of rice will make enough Spanish's rice to feed 15 people.

Total number of people= 135

Let x to represent the number of cups of rice needed to feed 135 people.

The proportion can be set up as follows:

[tex]\(\dfrac{6 \text{ cups}}{15 \text{ people}} = \dfrac{x \text{ cups}}{135 \text{ people}}\)[/tex]

Solving for x as

6 * 135 = 15x

810 = 15x

Now, divide both sides by 15 to solve for x:

810/15 = x

x= 54

Thus, Balvina would need 54 cups of rice.

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Answer: A

Step-by-step explanation:

The devil is trying to see how and why Robert is negative with his view of numbers. He pokes Robert so he can see how negative Robert is about it.

Answer: A

Step-by-step explanation:

Answer:

After 4 days, the number of people attending both conferences be the same.      

Step-by-step explanation:

We are given the following in the question:

Maths conference:

Number of people already signed = 7

Number of people who sign up each day = 2

Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

 [tex]f(x) = 7+2x[/tex]

History conference:

Number of people already signed =11

Number of people who sign up each day = 1

Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

 [tex]g(x) =11+x[/tex]

Both conference will have same number of people when

[tex]f(x) = g(x)\\\Rightarrow 7 + 2x = 11+x\\\Rightarrow x = 4[/tex]

Thus, after 4 days, the number of people attending both conferences be the same.

Answer:

The Inequality  to determine the number of tickets the committee could sell to pay this years dance [tex]72+4t\geq 400[/tex].

The committee need to sell more than 82 tickets to have money left over after they pay this years dance.

Step-by-step explanation:

Given:

Cost of the Dance  =$400

Money earn from bake sale =$72

Cost of each ticket = $4

We need write the inequality to determine the number of tickets the committee could sell to pay this years dance.

Solution:

Let the number of tickets to be sell be 't'.

So we can say that;

Money earn from bake sale plus Cost of each ticket multiplied by  number of tickets should be greater than or equal to Cost of the Dance.

framing in equation form we get;

[tex]72+4t\geq 400[/tex]

Hence The Inequality  to determine the number of tickets the committee could sell to pay this years dance [tex]72+4t\geq 400[/tex].

On solving the above equation we get;

subtracting both side by 72 we get;

[tex]72+4t-72\geq 400-72\\\\4t\geq 328[/tex]

Dividing both side by 4 we get;

[tex]\frac{4t}{4}\geq \frac{328}{4}\\\\t\geq 82[/tex]

Hence The committee need to sell more than 82 tickets to have money left over after they pay this years dance.

Answer:

7

Step-by-step explanation:

2-(-5)

2 + 5 --- opposite

=7

Answer: $96.33

Step-by-step explanation:

$14.82 • 6.5 = $96.33

Answer:

96.33

Step-by-step explanation:

14.82 x 6.5 = 96.33

Answer:

x = 1 in

Step-by-step explanation:

We can use ratios to solve since they are similar triangles

6         6+x

----- = ---------

5          6

Using cross products

6*6 = 5*(6+x)

36 = 30+6x

Subtract 30 from each side

36-30 = 30-30+6x

6 = 6x

Divide each side by 6

6/6 = 6x/6

1 =x

Answer:

4 servings :) can i get brainliest?

Step-by-step explanation:

The correct answer is 4 servings.

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

Six step guide to help you solve problems

Step 1: Identify and define the problem. State the problem as clearly as possible.

Step 2: Generate possible solutions.

Step 3: Evaluate alternatives.

Step 4: Decide on a solution.

Step 5: Implement the solution.

Step 6: Evaluate the outcome.

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The vertex of the parabola [tex]y=4x^2-8x-12[/tex] is (1, -16).

To find the coordinates of the vertex of the parabola [tex]y=4x^2-8x-12[/tex], we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 4 and b = -8.

Plugging these values into the formula, we get x = -(-8)/(2*4) = 1.

Now, we can substitute this value of x back into the equation to find the corresponding y-coordinate.

Plugging x = 1 into y = [tex]4x^2-8x-12[/tex], we get y = [tex]4*1^2 - 8*1 - 12 = -16[/tex].

Therefore, the vertex of the parabola is (1, -16).

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Final answer:

The vertex of the parabola [tex]y=4x^2-8x-12[/tex] is found by completing the square and transforming the equation into vertex form, resulting in the vertex coordinates at (1, -16).

Explanation:

To find the coordinates of the vertex of the parabola given by the equation [tex]y=4x^2-8x-12,[/tex] we use the fact that the vertex form of a parabola's equation is[tex]y=a(x-h)^2+k,[/tex]where (h, k) is the vertex of the parabola. In this case, we can complete the square to transform the given equation into vertex form. To do that, we can factor out the coefficient of [tex]x^2[/tex] from the first two terms:

[tex]y = 4(x^2 - 2x) - 12[/tex]

Now, we add and subtract the square of half the coefficient of x inside the parentheses, which is [tex](2/2)^2 = 1:[/tex]

[tex]y = 4(x^2 - 2x + 1 - 1) - 12[/tex]

[tex]y = 4((x - 1)^2 - 1) - 12[/tex]

[tex]y = 4(x - 1)^2 - 4 - 12[/tex]

[tex]y = 4(x - 1)^2 - 16[/tex]

Now that we have the equation in vertex form, we can see that the vertex of the parabola is at (1, -16).

Answer:

1. y = 0.6x² - 7.2x + 12

2. y = x² - 8x + 28

3. y = x² + 6x + 24

4. y = -0.5x² + 2x + 16

Step-by-step explanation:

1. The two x-intercepts are 2 and 10. The y-intercept is -12

A(x - 2)(x - 10)

A(x² - 12x + 20)

20A = 12

A = ⅗ = 0.6

y = 0.6x² - 7.2x + 12

2. The Axis of Symmetry is x = 4. The y-intercept is 28

(x - 4)² + C

x² - 8x + 16 + C

16 + C = 28

C = 12

y = (x - 4)² + 12

y = x² - 8x + 28

3. The Axis of Symmetry is x = -3. The y-intercept is 24.

(x + 3)² + c

x² + 6x + 9 + C

9 + C = 24

C = 15

y = x² + 6x + 24

4. The x-intercepts are 8 and -4. The y-intercept is 16.

A(x - 8)(x+ 4)

A(x² - 4x - 32)

-32A = 16

A = -0.5

y = -0.5x² + 2x + 16

Answer:

1) [tex]\frac{dy}{dt}=2.5-\frac{3y}{2t+100}[/tex]

2) [tex]y(t)=(50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}[/tex]

3) 98.23lbs

4) The salt concentration will increase without bound.

Step-by-step explanation:

1) Let [tex]y[/tex] represent the amount of salt in the tank at time t, where t is given in minutes.

Recall that: [tex]\frac{dy}{dt}=rate\:in-rate\:out[/tex]

The amount coming in is [tex]0.5\frac{lb}{gal}\times 5\frac{gal}{min}=2.5\frac{lb}{min}[/tex]

The rate going out depends on the concentration of salt in the tank at time t.

If there is [tex]y(t)[/tex] pounds of  salt and there are [tex]100+2t[/tex] gallons at time t, then the concentration is: [tex]\frac{y(t)}{2t+100}[/tex]

The rate of liquid leaving is is 3gal\min, so rate out is [tex]=\frac{3y(t)}{2t+100}[/tex]

The required differential equation becomes:

[tex]\frac{dy}{dt}=2.5-\frac{3y}{2t+100}[/tex]

2) We rewrite to obtain:

[tex]\frac{dy}{dt}+\frac{3}{2t+100}y=2.5[/tex]

We multiply through by the integrating factor: [tex]e^{\int \frac{3}{2t+100}dt }=e^{\frac{3}{2} \int \frac{1}{t+50}dt }=(50+t)^{\frac{3}{2} }[/tex]

to get:

[tex](50+t)^{\frac{3}{2} }\frac{dy}{dt}+(50+t)^{\frac{3}{2} }\cdot \frac{3}{2t+100}y=2.5(50+t)^{\frac{3}{2} }[/tex]

This gives us:

[tex]((50+t)^{\frac{3}{2} }y)'=2.5(50+t)^{\frac{3}{2} }[/tex]

We integrate both sides with respect to t to get:

[tex](50+t)^{\frac{3}{2} }y=(50+t)^{\frac{5}{2} }+ C[/tex]

Multiply through by: [tex](50+t)^{-\frac{3}{2}}[/tex] to get:

[tex]y=(50+t)^{\frac{5}{2} }(50+t)^{-\frac{3}{2} }+ C(50+t)^{-\frac{3}{2} }[/tex]

[tex]y(t)=(50+t)+ \frac{C}{(50+t)^{\frac{3}{2} }}[/tex]

We apply the initial condition: [tex]y(0)=0[/tex]

[tex]0=(50+0)+ \frac{C}{(50+0)^{\frac{3}{2} }}[/tex]

[tex]C=-12500\sqrt{2}[/tex]

The amount of salt in the tank at time t is:

[tex]y(t)=(50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}[/tex]

3) The tank will be full after 50 mins.

We put t=50 to find how pounds of salt it will contain:

[tex]y(50)=(50+50)- \frac{12500\sqrt{2} }{(50+50)^{\frac{3}{2} }}[/tex]

[tex]y(50)=98.23[/tex]

There will be 98.23 pounds of salt.

4) The limiting concentration of salt is given by:

[tex]\lim_{t \to \infty}y(t)={ \lim_{t \to \infty} ( (50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }})[/tex]

As [tex]t\to \infty[/tex], [tex]50+t\to \infty[/tex] and [tex]\frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}\to 0[/tex]

This implies that:

[tex]\lim_{t \to \infty}y(t)=\infty- 0=\infty[/tex]

If the tank had infinity capacity, there will be absolutely high(infinite) concentration of salt.

The salt concentration will increase without bound.

Answer:

5 centimeters

Step-by-step explanation:

We know the equation to find volume is V = B x h, where B is the base of the prism. (It is also known as the simple V = l x w x h.)

No matter what equation you use, you will end up with V = l x w x h, since the base of a rectangular prism is length x width. So, we're going to plug in our known information to get 420 = 6 x 14 x h.

Then, we're going to multiply 6 x 14 to get 84. Now we have 420 = 84 x h. To isolate the h (in order to find what it is), we must divide both sides by 84.

420/84  = 5, so whats left of the equation is 5 = h, meaning your height is 5 centimeters.