Christine runs 7 miles in 60 minutes. at the same rate, how many miles would she run in 24 minutes?

Answer:

Option A is correct that is x° = 56°

Step-by-step explanation:

Let Given Lines are tangents.

So we use a result which states that Tangents are perpendicular with radius at point of contacts.

⇒ ∠ B = ∠ D = 90°

Angle sum property of Quadrilateral = 360°

⇒ ∠A + ∠B + ∠O + ∠D = 360

x + 90 + 124 + 90 = 360

x + 304 = 360

x = 360 - 304

x = 56

Therefore, Option A is correct that is x° = 56°

To find the fraction of a mile represented by 1100 yards, divide 1100 yards by 1760 yards (the total number of yards in a mile). The fraction is 0.625.

To find the fraction of a mile represented by 1100 yards, we need to divide 1100 yards by the total number of yards in a mile, which is 1760 yards. We can set up a proportion with the fraction we're looking for, x, in the numerator and 1760 in the denominator:

1100 yards / 1760 yards = x / 1 mile

Since the denominator on the left side is the same as the denominator on the right side, we can cross-multiply and solve for x:

x = 1100 / 1760

x = 0.625

Therefore, the fraction of a mile represented by 1100 yards is 0.625.

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There are six important properties of parallelograms to know:

Answer: check

Step-by-step explanation:

done

Answer:

y = 75 - 3x

Step-by-step explanation:

Let the number of token left = y

total number of token bought = 75

Number of games played by Conor = x

It is given for playing one game, the price = 3 token

Therefore for playing x games, the price is = 3x

Therefore, the number of tokens left with Conor is given by

  y = 75 - 3x

Thus, the expression that is equivalent to the number of remaining tokens is

y = 75 - 3x

The number of different ways you can arrange 3 out of 5 letters is 10.

To find the number of different ways you can arrange 3 out of 5 letters, you can use the formula for combinations. The formula for combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen at a time.

In this case, n = 5 and r = 3. So the number of different ways to arrange 3 out of 5 letters is 5C3 = 5! / (3!(5-3)!) = 10.

Therefore, there are 10 different ways you can arrange 3 out of the 5 letters.

I think the answer is Probability is (1513+99)/(1414+99+1111+99)=1612/2723

In the parallelogram CDKM the value of the line segment CD and DK is 10 units and 17 units.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

The quadrilateral CDKM is a parallelogram. In this parallelogram, the side DA is perpendicular to the side CK.

The difference of the side DK and CD is,

[tex]DK - CD = 7\\DK=7+CD[/tex]

The length of the line segment CA and AK is 6 units and 15 units respectively.Then by the Pythagoras theorem,

[tex](AD)^2=(CD)^2-(AC)^2\\(AD)^2=(CD)^2-(6)^2[/tex]              ....1

Again by using the Pythagoras theorem

[tex](AD)^2=(Dk)^2-(AK)^2\\(AD)^2=(DK)^2-(15)^2[/tex]

Put the value of (AD)², from equation 1 in the above equation as,

[tex](CD)^2-6^2=(DK)^2-(15)^2\\(CD)^2-36=(DK)^2-225[/tex]

Put the value of DK in the above equation as,

[tex](CD)^2-36=(7+CD)^2-225\\(7+CD)^2-(CD)^2=225-36\\(CD)^2+14CD+49-(CD)^2=189\\CD=10[/tex]

Hence, the value of DK is,

[tex]DK=7+10DK=17[/tex]

Hence, In the parallelogram CDKM the value of the line segment CD and DK is 10 units and 17 units.

Learn more about the Pythagoras theorem here;

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Answer:

he`s right its a or b

i'm going with b

Step-by-step explanation:

To translate point B(−4, 1) 3 units to the right and 2 units down, you add 3 to the x-coordinate and subtract 2 from the y-coordinate, resulting in the new coordinates B' = (−1, −1).

The coordinates that represent a translation of B(−4, 1) 3 units to the right and 2 units down can be found by adding 3 to the x-coordinate and subtracting 2 from the y-coordinate of point B. The new coordinates will be:

B' = (−4 + 3, 1 − 2)

So, the new coordinates would be B' = (−1, −1).

Final answer:

To find the perimeter of the rectangle, first find the dimensions using the given information and the formula. Then, use the formula for perimeter to calculate the final result.

Explanation:

To find the perimeter of the rectangle, we need to first find the dimensions of the rectangle. Let the width of the rectangle be w. According to the given information, the length of the rectangle is 5 times its width, so the length can be represented as 5w. The area of the rectangle is given as 320 m², so we can set up the equation:

w * 5w = 320

Simplifying this equation, we have:

5w² = 320

Dividing both sides of the equation by 5, we get:

w² = 64

Taking the square root of both sides, we find:

w = 8

So, the width of the rectangle is 8 meters. The length can be found by multiplying the width by 5:

length = 5 * 8 = 40 meters

The perimeter of the rectangle is calculated using the formula: Perimeter = 2*length + 2*width. Substituting the values we found:

Perimeter = 2*40 + 2*8

Calculating this expression, we get:

Perimeter = 80 + 16 = 96 meters

Answer:

c) 27 percent, 36 percent, 37 percent

Step-by-step explanation:

Given,

Hot dogs sold by,

Vendor a = 456

Vendor b = 607

Vendor c = 637,

Total hot dogs = 1700,

Thus, the percentage of the hot dogs sold by a = [tex]\frac{\text{Hot dog sold by a}}{\text{Total hot dogs}}\times 100[/tex]

[tex]=\frac{456}{1700}\times 100[/tex]

[tex]=\frac{456}{17}[/tex]

= 26.82%

≈ 27%

Similarly,

Percentage of the hot dogs sold by a

[tex]=\frac{607}{1700}\times 100[/tex]

[tex]=\frac{607}{17}[/tex]

= 35.71%

≈ 36%

Percentage of the hot dogs sold by a

[tex]=\frac{637}{1700}\times 100[/tex]

[tex]=\frac{637}{17}[/tex]

= 37.47%

≈ 37%

Hence, OPTION c) is correct.

Answer- 31.11 minutes

Let 'T' be the total number of newspapers.

Newspapers distributed by girl alone in 55 minutes = T

Newspapers distributed by girl alone in 1 minute = T/55

Newspapers distributed by girl and boy in 20 minutes = T

Newspapers distributed by girl and boy in 1 minutes = T/20

Newspapers distributed by boy alone in 1 minute = T/20 - T/55 = 7T/220

On solving, total time taken by boy to distribute newspapers = 31.11 minutes

To calculate the tax on $42 at a 3.9% rate, first convert the percentage to a decimal (0.039) then multiply the amount by the tax rate. The result is approximately $1.64.

The problem involves calculating the tax on a certain amount using a specified tax rate. In this case, the tax rate is given as 3.9% and the amount is $42.

You calculate the tax by multiplying the tax rate by the amount.

First, convert the percentage into a decimal by dividing by 100: 3.9 ÷ 100 = 0.039.

Next, multiply the amount by the tax rate: $42 x 0.039 = $1.638.

Therefore, the tax on $42 at a rate of 3.9% is approximately $1.64, when rounded to the nearest hundredth.

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The tax on $42 with a 3.9% tax rate is approximately $1.64 when rounded to the nearest hundredth.

To find the tax on $42 with a tax rate of 3.9%, we need to multiply the total amount by the tax rate. First, turn the percentage into a decimal by dividing 3.9 by 100, which gives us 0.039. After that, you multiply $42 by 0.039. This results in approximately $1.64, which we round to the nearest hundredth as per the instructions, thus our answer is $1.64.

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Answer:

33

Step-by-step explanation:

Answer:

D. 12 on edge

Step-by-step explanation:

There are 24 permutations of the letters a, b, c, d taken four at a time, calculated using the formula 4!.

The question revolves around finding the number of permutations of the letters a, b, c, d taken four at a time. To solve this, we need to understand that a permutation represents the arrangement of all members of a set in every possible order.

In the case of the letters a, b, c, d, we want to arrange them in all possible ways where order matters and taking all four at a time. The formula to calculate permutations is P(n, r) = n! / (n-r)!, where n is the total number of items to choose from, and r is the number of items to choose. However, since we are taking all four letters each time, we are essentially looking for 4!, which simplifies to 4*3*2*1.

Therefore, 4! equates to 24. This means there are 24 possible ways to arrange the letters a, b, c, d when taking all four at a time. It's an excellent exercise to manually write out all of these permutations to get practical experience with the concept.

Answer:

LCM (8,10) = 2 × 2 × 2 × 5 = 40

Step-by-step explanation:

Least common multiple is the smallest number that is multiple of both the given numbers.

Example: LCM of 2 and 3 is 6 .

6 is a multiple of both 2 and 3 .

Given numbers are 8 and 10

First write both in factor form,

⇒ 8 = 2 × 2 × 2

⇒ 10 = 2 × 5

We find LCM by writing common terms one times and multiplying all terms together,

Here, 2 is common to both 8 and 10 so we write it once only.

Thus, LCM (8,10) = 2 × 2 × 2 × 5 = 40.

-5/0 is undefined.

The reason why division by zero is undefined is because there is no real number that can be multiplied by 0 to get -5.

In essence, the division operation asks how many times the denominator can be contained within the numerator. Since nothing times zero gives any number other than zero, this question has no answer.

Moreover, division by zero is not allowed in the real number system because it can lead to logical contradictions and undefined behavior.