A crew of highway workers paved 1/3 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?

The amount Maya has is $21, Kareem has is $28, and Deshaun has is $63, solving the linear equations.

Given that:

Maya, Kareem, and Deshaun have a total of $112 in their wallets.

Kareem has $7 more than Maya.

Deshaun has 3 times what Maya has.

It is required to find the amount each has.

Let x, y, and z be the amount that Maya, Kareem, and Deshaun have respectively.

From the given information, there forms a system of linear equations.

x + y + z = 112     (1)

y = x + 7              (2)

z = 3x                  (3)

Substitute (3) and (2) in (1).

x + x + 7 + 3x = 112

5x = 112 - 7

5x = 105

x = 21

So, y = 21 + 7 = 28

z = 3(21) = 63

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The probability of rolling two dice and getting a sum of 7 is 1/6.

The probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

Sample space for rolling a pair of dice we have:

=> S {(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)}

n(S) = 36

Let A = sum of numbers is 7 = { (1, 6)(2, 5)(3, 4) (4, 3) (5, 2) (6, 1)}

n(A) = 6

P (Sum of numbers is 7) = n(A) / n(S)

= 6/36 = 1/6

Therefore, the probability of rolling two dice and getting a sum of 7 is 1/6.

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Answer:

\(y=-\frac{3}{2}x-6\)

Step-by-step explanation:

Since the line needs to be perpendicular to \(2x-3y=6\), that means the slope of the line must be the opposite reciprocal. Rearrange the equation \(2x-3y=6\)  to solve for the value of y, with variable y on the left side.

\(-3y=-2x+6\\y=\frac{2}{3} x-2\)

So, the slope of the line given already is \(\frac{2}{3}\). The opposite reciprocal of this is \(-\frac{3}{2}\).

From what information we know so far (the slope) about the equation of the line we are trying to find, we can write a basic equation that allows us to solve for the y-intercept. Use the equation \(y=mx+b\), where m is the slope (which we already found) and b is the y-intercept.

\(y=-\frac{3}{2}x+b\)

Since we are given a set of coordinate points that the line must pass through, we can substitute (-2, -3) in for x and y in the equation above. Then, solve for the value of b, which is our y-intercept.

\(-3=-\frac{3}{2}(-2)+b\\ -3=3+b\\b=-6\)

Now we have all the necessary information to create our equation.

\(y=-\frac{3}{2}x-6\)

Answer:  A.

explanation:just did the test

Answer:

Step-by-step explanation:

i dont nkoe

Answer:

A or D

Step-by-step explanation:

I saw your previous post and saw all of the list and compared it!

I don't think you will type it out in numbers without square root, so that will leave with an option of A,D,E.

I think A is too less, so maybe D?

well which is possible?

A or D

Answer:

As we move to the far right, the purple column is made up of gases that are. The purple column represents noble gases.

Step-by-step explanation:

Answer:Elements on the right side of the periodic table are NONMETALS. The staggered stair step on the periodic table divides the metals from the nonmetals. Metalloids are located on the stair step.

Answer:

A. is the correct answer

Step-by-step explanation:

got it correct on the unit test

Answer:

10

Step-by-step explanation:

The median is arranged in numerical value.

it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.

According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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Answer:

Step-by-step explanation:

7 quarter mile laps totals 7/4 miles, or 1 3/4 miles.

1 3/4 miles is between 1 and 2, a subset of real numbers.

Answer:

there is not a complete question here ...

\(\sqrt{2} +1\) is not in a denominator to rationalize

if it were you would multiply the rational expression (the fraction)

by \(\frac{\sqrt{2} -1}{\sqrt{2} -1}\) the result (in the denominator would end up being "2 -1"

which is 1

Step-by-step explanation:

Answer:

The volume is 2.4

Answer:

2.4 cm

Step-by-step explanation:

Length× Width × Height

\(\frac{3}{5}\) × \(\frac{4}{3}\) × \(\frac{3}{1}\) = \(\frac{36}{15}\)

\(\frac{36}{15} = \frac{12}{5}\)

12÷5= 2.4

Answer:

25/6 or 4 1/6

Step-by-step explanation:

1) convert these fractions to improper fractions first:

8/3+3/2

make like denominators  by multiplying 8/3 by 2 and 3/2 by 3

so 8*2/3*2=16/6

3*3/2*3=9/6

16/6+9/6=25/6

Hope this helps!

Answer:  25/6 or 4.16

Step-by-step explanation:

Answer:

3 1/12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It has to reflect from one side to the other therefor left to right.

Answer:

B

Step-by-step explanation:

Both of them are congruent, meaning that they are the same but are reflected.

The mean of the given data, 6, 6, -14, -14, 10, 6, -14, is approximately 0.857.

To determine the mean of the given data, we need to sum up all the values and then divide the sum by the total number of values.

The given data is: 6, 6, -14, -14, 10, 6, -14.

Sum up the values:

6 + 6 + (-14) + (-14) + 10 + 6 + (-14) = 6

Divide the sum by the total number of values:

6 / 7 = 0.857

Therefore, the mean of the given data is approximately 0.857.

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Answer:

Sales tax is an increase in the price of the item while a discount is the decrease of the price. A 5% sales tax is an increase since your paying an extra 5% of the item price. 15% discount is a decrease since your now only paying 85% of the original price. Hope that helps

Answer: In layman's terms, that means if the original price of something you sell was $100, but you offer a 50% discount, then the taxable price is $50. Sale Price = original price – (% of discount * original price)

Sales Tax = Sales Tax rate * Sale Price.

Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86. How do I add 5% to a number?

Divide the number you wish to add 5% to by 100.

Multiply this new number by 5.

Add the product of the multiplication to your original number.

Enjoy working at 105%!

Answer:

I would call them and ask for the manager lowkey!

Step-by-step explanation:

❤❤

Answer:

Of course today

Step-by-step explanation:

The probability of throwing an odd number with a normal dice is 1/2

When rolling a normal six-sided B, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6. Out of these six numbers, three of them (1, 3, and 5) are odd numbers. Thus, there are three favorable outcomes (odd numbers) out of a total of six possible outcomes.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of throwing an odd number is 3/6, which simplifies to 1/2.

This means that there is a 50% chance of rolling an odd number with a normal six-sided die. In other words, if you roll the die many times, you can expect that approximately half of the outcomes will be odd numbers.

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Answer:

practice.

Step-by-step explanation:

hope this helps. . . <3

good luck!     uωu

Answer:

umm work harder I guess -,-

Step-by-step explanation:

The expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves is n.

To find the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves we can use the principle of geometric distribution. The geometric distribution is a probability distribution that represents the number of trials required to obtain the first success in repeated Bernoulli trials where each trial has a constant probability of success.To find the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves we have to first determine the probability of finding the first glove. Since the drawer has an infinite number of gloves, the probability of finding a left glove or a right glove is 1/2. Thus, the probability of finding the first glove is 1. Now, we have to find the probability of finding the matching glove of the first glove. The probability of this is 1/n, where n is the total number of gloves in the drawer. Thus, the probability of finding both the left glove and the right glove is given by the product of the probability of finding the first glove and the probability of finding the matching glove. This is given by 1 x 1/n or 1/n. Therefore, the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves is given by the formula E(X) = 1/p, where p is the probability of finding both the left glove and the right glove. Thus, E(X) = 1/(1/n) = n.

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Answer:

4 ^2 + 2

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

4x^2 + 2x

Step-by-step explanation:

The explanation is in the attachment

:)

Answer:

54°

Step-by-step explanation:

Since the 5 vertex angles are congruent, each vertex angle = 360/5 = 72°

The sum of the angles of each triangle is 180-72 = 108°

The base angles of each triangle are equal to each other so each base angle = 108/2 = 54°

Answer:

9

Step-by-step explanation:

I'm not sure, the answer is still 9, 1+2 is 3 so

6/2(3)

and 6/2 simplified is 3

so 3(3) is 9

Answer:

9

Step-by-step explanation:

1. Simplify the parantheses

(1+2) = 3

2. Turn 3 into a fraction

3 = 3/1

3. Multiply the fractions

6   x    3    =  18

2    x   1         2

4. What is 18/2?

18/2 = 9

Hiii, so I REALLY want to rank up, and I just need 5 more Branliests, so if you liked my answer, can you please give me one? Thank you so much, and thanks for the points!!

The expanded form of the expression is 2x²+13x+15, and Tyler's mistake is, he should multiply the terms not to add the terms.

The definition of an expression in math is a statement composed of terms and operations. The terms may be constant (numbers), or variables with coefficients. The operations may be addition, subtraction, multiplication, or division.

Given is an expression, (x + 5)(2x + 3), Tyler tried to solve it with the help of a diagram, but had some mistake,

We need to identify his mistake and write the expression in the expanded form,

So,

Making the diagram,

           2x                      3

x       (x·2x = 2x²)       (3·x = 3x)

5       (5·2x = 10x)      (5·3 = 15)

Now, adding the terms,

We have,

2x² + 10x + 3x + 15

= 2x²+13x+15

Hence, the expanded form of the expression is 2x²+13x+15, and Tyler's mistake is, he should multiply the terms not to add the terms.

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To find the point on the curve r(t)=(2cost, 2sint, e^t) we need to evaluate the x, y, and z coordinates at a specific value of t. Let's choose t=0 for simplicity.

So, plugging in t=0 we have:

r(0) = (2cos(0), 2sin(0), e^0)
r(0) = (2, 0, 1)

Therefore, the point on the curve at t=0 is (2, 0, 1).

To find the point on the curve r(t) = (2cos(t), 2sin(t), e^t) for a specific value of t, you can plug in the value of t into the parameterized equation:

1. Replace t with the specific value you're interested in (e.g., t = a).
2. Compute 2cos(a) for the x-coordinate.
3. Compute 2sin(a) for the y-coordinate.
4. Compute e^a for the z-coordinate.

The point on the curve will be (2cos(a), 2sin(a), e^a).

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

A 1% error in r will lead to a larger error in the volume.

A 1% error in r will cause a larger error in the volume, since the percentage increase in volume is proportional to the square of r.

The volume of a cylinder of radius r and height h is V = πr2h. The linear approximation to the volume of a cylinder is given by V ≈ πr2(h + r).

Thus, the percentage increase in volume when r and h are each increased by c is given by 100% × (Vnew - Vold) / Vold = 100% × (π(r + c)2(h + c + r) - πr2h) / πr2h = 200c/r + 100c/h.

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