. Jamie is walking of a mile every
hour. At that rate, how far will
Jamie have walked in one hour?

Answer:

N?A

Step-by-step explanation:

Answer:

24/36

Step-by-step explanation:

Do 36 divided by 3 which is 12 then multiply 12 by 2!

I hope this helps and have a great day! :)

Answer:

The correct answer is 24/36

Step-by-step explanation:

24/36 is correct because you divide 36 by the denominator of 3 to equal 12 so then multiply 12 by 2 to equal 24 so the correct answer is 24/36.

HAVE A GOOD DAY!

Answer:-\(-5x^{2}\) - 27x +18

Step-by-step explanation:

(-5x +3)(x+6)

\(-5x^{2}\) - 30x + 3x+ 18

\(-5x^{2}\)- 27x +18

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Answer:

\(-5x^2-27x+18\)

Step-by-step explanation:

\((-5x+3)(x+6)\)

\(=(-5x+3)(x+6)\)

\(=(-5x)(x)+(-5x)(6)+(3)(x)+(3)(6)\)

\(=-5x^2-30x+3x+18\)

\(=-5x^2-27x+18\)

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Answer:

(A) 11.5 ounces

Step-by-step explanation:

Multiply 3.25 by 4

3.25 x 4 = 13

Subtract 13 from 24.5

24.5 - 13 = 11.5

= 11.5 ounces

Mr. Suresh pays $45 for purchasing 10 boxes of cereal at a discount of 25%.

The discount refers to the reduction in the price of an item offered by retailers to customers to entice them to make more purchases.

Discounts are usually expressed in percentage terms, called discount rates.

The price that the customer pays after the discounted is called the discounted price.

Discount on the 5th box of cereal = 10%

Discount on the 10th box of cereal = 25%

The cost per box of cereal = $6

The total cost for 10 boxes of cereal = $60 ($6 x 10)

Discounted rate = 75% (1 - 25%)

The discounted price for 10 boxes of cereal = $45 ($60 x 75%)

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Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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The divisibility rule for 3 on any integer number  is proven in the detailed explanation of the solution.

Given a non-decimal number, n.

Suppose n may be divided by 3.

n should be thought of in terms of its digits as

n = d × 1 × 10⁽ⁿ⁻¹⁾⁽ⁿ⁻¹⁾ + d  × 2 × 10⁽ⁿ⁻²⁾ + ... + d × m × 10⁰

where d 1, d 2,..., d m are its digits and m is the number of digits in n.

The result of the preceding equation with n = 3k is

3k = d  × 1 × 10(m-1) + d × 2 × 10(m-2) +... + d × m × 10(m-0)

3000 is subtracted from both sides of the equation, giving us

0 = d × 1 × 10⁽ⁿ⁻¹⁾⁽ⁿ⁻¹⁾ + d  × 2 × 10⁽ⁿ⁻²⁾ + ... + d × m × 10⁰

We obtain by adding 3k to both sides of the equation.

3k = d × 1 × 10⁽ⁿ⁻¹⁾+ d

The divisibility rule is a heuristic for determining if two positive integers can be divided evenly (i.e. there is no remainder left over). For instance, determining if a number's last digit is 2, 4, 6, 8, or 0 makes it simple to determine whether it is even.

By examining the digits of the number, a divisibility rule provides a simple shorthand for determining if an integer is divisible by a particular set of factors without actually doing the division. This page only offers recommendations and examples for decimal, or base 10, numbers despite the fact that there are distinct divisibility tests for numbers in each radix or basis.

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Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

3/5=12/20

12/16=6/8

Step-by-step explanation:

Answer: 0.7 is 10 times larger than 0.07

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is A

14)The sum of the tangent and the sine of the angle is obtained as 1.21.

15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.

16)The angle opposite the largest side is  130°.

The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the  trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.

14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;

a = √2^2 + 3^2

a = √ 4 + 9

a = 3.6

We know that;

tan θ = 2/3 = 0.66

sin θ = 2/3.6 = 0.55

Then;

tan θ + sin θ

0.66 + 0.55

= 1.21

We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.

15)

The area of the segment is obtained as;

Area of the triangle;

1/2r^2 sinθ

r= radius of the circle

θ = angle of inclination

1/2 * (10)^2 * sin 60

= 43.3

Area of the sector;

60/360 * 3.142 * (10)^2

= 52.3

Therefore the area of the triangle is;

43.3 +  52.3 = 95.6 m

b)The perimeter of the segment;

(2πr * θ/360) + 2rsin(θ/2)

(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))

1.047 + 10

= 11.047 m

16)

Using;

c^2 = a^2 + b^2 - 2abcos C

20^2 = 13^2 + 9^2 - 2(13 * 9) cos C

400 = 250 - 234cosC

400 - 250 = - 234cosC

150 =  - 234cosC

Cos C = -(150/234)

C = Cos-1-(150/234)

C = 130°

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Step-by-step explanation:

length 'l' 2m=(2*100)cm

=200 cm

breadth 'b' =70cm

Area of rectangle =l*b

=200*70

=14000cm^2

Answer:

-2xy+5y-9x

Step-by-step explanation:

you cant simplify further because they don't have the same variables

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Answer:

-2xy + 5y - 9x

Step-by-step explanation:

Let's solve the problem,

→ 4xy - 6xy + 5y - 9x

→ (4xy - 6xy) + 5y - 9x

→ -2xy + 5y - 9x

Thus, it is -2xy + 5y - 9x.

Answer:

0.625 or 62.5 %

Step-by-step explanation:

Calculation to find the probability that the doors were left open

First step is to find the probabilities of doors open and robbed

Probability of door open and robbed =

(25/100)*(5/100)

Probability of door open and robbed= 0.25*0.05

Probability of door open and robbed=0.0125

Second step is to find the probabilities of doors closed and robbed

Probability of door closed and robbed=

(75/100)*(1/100)

Note that 3/4 will give us 75%

Probability of door closed and robbed=0.75*0.01

Probability of door closed and robbed=0.0075

Third step is to find the probability of getting robbed

Probability of getting robbed =0.0075+0.0125

Probability of getting robbed=0.02

Last step is to find the probability that the doors were left open

Using this formula

Probability of open doors = P[door open & robbed] / P[robbed]

Let plug in the formula

Probability of open doors= 0.0125/0.02

Probability of open doors=0.625*100

Probability of open doors=62.5 %

Therefore the probability that the doors were left open will be 0.625 or 62.5 %

Answer:

\(y\) is decreasing by 10 units per second.

Step-by-step explanation:

Given information:

The particle moves on the hyperbola \(xy=15\)

Time \(t\geq 0\)

Now at a certain instant , \(x=3\) and \(\frac{dx}{dt} = 6\)

Now, Differentiating \(xy=15\) with respect to \(t\)

We get:

\(x.\frac{dy}{dt} +y.\frac{dx}{dt} =0\)

Now substitute the values in above equation:

\(3\frac{dy}{dt}+ 5 \times 6=0\)

\(3 \frac{dy}{dt}=-30\\\frac{dy}{dt} =-10\)

The negative sign indicates that \(y\) is decreasing by 10 units per second.

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The particle follows hyperbolic path. The value of  \(y\) is decreasing at the rate of \(10\) units per seconds.

Given: A particle moves on the hyperbola \(xy=15\) for time \(t\geq0\) seconds. At a certain instant, \(x=3\) and \(dx/dt=6\).

According to question,

hyperbola curve is \(xy=15\).

Differentiating the curve w.r.t \(t\) we get:

\(x\cdot \frac{dy}{dt}+y\cdot\frac{dx}{dt}=0\)

Now substituting the values are  \(x=3\) and \(dx/dt=6\).

\(3\cdot \frac{dy}{dt}+5\times6=0\)

                \(\frac{dy}{dt}=\frac{-30}{3}\\\frac{dy}{dt}=-10\)

Therefore, \(y\) is decreasing \(10\) units per seconds.

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Answer:

3.16227766017 is the answer

Answer: 3.16227766017

Step-by-step explanation:

Or you could round and get 3.2 or 3.16

length of a side = 14.7cm

Perimeter = 58.8cm

Explanation:

The area of a square = 215 cm²

Area of a square = length²

Find the square root of both sides:

length = √Area

length = √215cm²

length of a side = 14.7cm (nearest tenth)

Perimeter = length +length +length +length

Perimeter = 4*Length

Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

Answer:

Point Form:

(6,18), (-3,-9)

Equation Form:

x=6, y=18

x=-3, y=-9

Step-by-step explanation:

Solve for the first variable in the first equation, then substitute the result into the other equation.

Answer:

x=-3 , x=6

so

y=-9 or y=18

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

14/29

Step-by-step explanation:

The probability that a child chosen at random from the class likes math but not history is 14/29  or 0.4827.

It is given that the in a class of 29 children, 15 likes history and 21 like math.

It is required to find the probability that a child chosen at random from the class likes math but not history if they all like at least one of the two subjects.

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

Total students in a class = 29

First we have to find the number of students who likes both subject for this we have draw a Venn diagram shown in the picture.

From the Venn diagram number of students who likes both = 7

And number of students likes only math = 14

Hence, the probability will be:

\(p = \frac{14}{29}\)   ( because total number of students is 29)

or P = 0.4827 or 48.27%

Thus, the probability that a child chosen at random from the class likes math but not history is 14/29  or 0.4827.

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After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

Step-by-step explanation:

A...................................

∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore

B...................................

∠AVM and ∠VAS are same side interior angles

and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:

C...................................

Obtuse angle at the intersection of AV and HI, if name the intersection point O:

Answer:

k=0

Step-by-step explanation:

/2-5K+3=4

We move all terms to the left:

/2-5K+3-(4)=0

determiningTheFunctionDomain

-5K+3-4+/2=0

We add all the numbers together, and all the variables

-5K-1+/2=0

We multiply all the terms by the denominator

-5K*2-1*2+=0

We add all the numbers together, and all the variables

-5K*2=0

Wy multiply elements

-10K=0

K=0/-10

K=0

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.