what is 78 divided by 6

Answer:

Step-by-step explanation:

The ratio of boys to girls:

If there are a total of 132 boys, then number of girls is:

Total number of students:

The road distance between Wrexham and Corwen can be found to be 21 miles

The miles in total that Elyas travelled to and from work each week would be 270 miles.

The road distance between Wrexham and Corwen can be found at the intersection between Wrexham and Corwen on the table which is 21 miles.

The miles between Mold and Oswestry by the same method would be 27 miles. This means that the total miles traveled by Elyas :

= 27 miles x 2 going and coming x 5 days a week

= 270 miles

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Answer:

Step-by-step explanation:

40 / 18

= 2.22 hours

Answer:

C. -1/2, 2, √5, √16, 4,05

Step-by-step explanation:

When ordering numbers from least to greatest first comes negative values then we compare all positive expressions

2 is smaller than √5 because it's approximately 2.2 and then comes √16 because it's equal to 4 and finally comes 4.05

A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication

Given data ,

Let the numbers be represented by the expression A

Now , the value of A is

A = √2 × 3√5

First, you can simplify each square root:

√2 = 1.4142 (rounded to 4 decimal places)

3√5 = 5.1962 (rounded to 4 decimal places)

Next, you can multiply the two simplified square roots and the whole number:

√2 × 3√5 = 1.4142 × 5.1962 × 3

= 22.3607 × 3

= 67.0821

Hence , the expression is A = √2 × 3√5 = 67.0821

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Answer:

Step-by-step explanation:

2 is a whole number and in 2/5 5 is the whole.  so 2/5 is like saying you need 5 cups but there is already 2 there :)

Answer:

x+1 x+4 2x +1

are th answer

Answer:

Step-by-step explanation:

8(2+3)

Line QT has a 5 unit length.

A line is a geometric object with an endless length and no breadth, depth, or curvature.

Lines are one-dimensional objects since they can exist in two, three, or higher-dimensional regions.

A line segment with two points indicating its endpoints is also referred to as a line in daily speech.

So, using the relationship between the sides of comparable triangles, we have the following.  ΔRST and  ΔRPQ:

   ST/RT = PQ/QR

   RQ = QT + RT

Then,

   ST/RT = PQ/QT + RT

Then, we obtain:

   QT + 5/RT = PQ/QT + RT

Given that QT is the natural number then, QT = 5 units.

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Solution

Since it is a perpendicular bisector, hence point M is the midpoint

Slope

Since they are perpendicular

The equation of the perpendicular bisector of the line AB with A(-2,7) and B(5,2)

The final answer

Given that the square sheet of paper measures 1 foot on each side as shown below:

the figure below is the unfolded paper

Given that the paper is folded vertically and horizontally such that it makes equal section,

when folded vertically, we have 2 equal sections.

Thus, the length of

Answer:

5.25inches

Step-by-step explanation:

difference in height = 68.5-63.25 =5.25

Height of Mario Hm = 68.5 inches

Height of Tyler Ht = 63.25 inches

Evidently, Hm > Ht

Now difference = Hm - Ht = 68.5 - 63.25

= 5.25 inches

Answer: Mario is 5.25 inches taller than Tyler.

The P-value for the hypothesis test is approx. 0.7064.

To find the P-value for the hypothesis test, we need to perform a two-sample proportion test. The formula to calculate the test statistic for this test is given by:

\(\[ z = \frac{{(\hat{p}_1 - \hat{p}_2) - 0}}{{\sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)}}} \]\)

where \(\hat{p}_1\) and \(\hat{p}_2\) are the sample proportions, \(\hat{p}\) is the combined sample proportion, \(n_1\) and \(n_2\) are the sample sizes, and 0 is the hypothesized difference in proportions.

In this case, we have \(n_1 = 50\), \(x_1 = 8\) (number of successes in sample 1), \(n_2 = 50\), and \(x_2 = 7\) (number of successes in sample 2).

First, we calculate the sample proportions:

\(\[ \hat{p}_1 = \frac{x_1}{n_1} = \frac{8}{50} = 0.16 \]\)

\(\[ \hat{p}_2 = \frac{x_2}{n_2} = \frac{7}{50} = 0.14 \]\)

Next, we calculate the combined sample proportion:

\(\[ \hat{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{8 + 7}{50 + 50} = 0.15 \]\)

Then, we calculate the standard error:

\(\[ SE = \sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)} = \sqrt{0.15(1 - 0.15)\left(\frac{1}{50} + \frac{1}{50}\right)} \approx 0.0529 \]\)

Finally, we calculate the test statistic:

\(\[ z = \frac{(\hat{p}_1 - \hat{p}_2) - 0}{SE} = \frac{(0.16 - 0.14) - 0}{0.0529} \approx 0.3772 \]\)

To find the P-value, we look up the test statistic in the standard normal distribution table. In this case, the P-value is the probability of observing a test statistic greater than 0.3772 or less than -0.3772.

Consulting the table, we find that the P-value is approximately 0.7064. Therefore, the P-value for the hypothesis test is approximately 0.7064.

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The exact value of ||7v - 3w||, where v = -i - 3j and w = 5i - 2j, is 7√59.

To find the exact value of ||7v - 3w||, we first calculate the vector 7v - 3w.

Given v = -i - 3j and w = 5i - 2j, we can substitute these values into the expression and simplify:

7v - 3w = 7(-i - 3j) - 3(5i - 2j)

        = -7i - 21j - 15i + 6j

        = -22i - 15j

Next, we find the magnitude of the vector -22i - 15j using the formula ||a + bi|| = √(a^2 + b^2):

||-22i - 15j|| = √((-22)^2 + (-15)^2)

               = √(484 + 225)

               = √709

               ≈ 7√59

Therefore, the exact value of ||7v - 3w|| is 7√59.

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Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

29 feet

Step-by-step explanation:

14 × 3 = 42

100 - 42 = 58

58 ÷ 2 = 29

One of the longer chains is 29 feet long.

Hope this helps.

Answer:

sloppee!!!  thats just a weird word   (   <>

                                                                 )

                                                           (    <>

Step-by-step explanation:

Answer:

3/5, -12 12/15,  51/125

Step-by-step explanation:

just did it

Answer:

3/5; -12 12/25; 51/125

Step-by-step explanation:

Write the first one just like you would say it. You would read 0.6 as six tenths, therefore your answer is 6/10, but don't forget to simplify to 3/5.

Next, you have -12.48. -12 is going to be your whole number. However, you still have 0.48 left so you would write it just how you would say it. You would say it as forty-eight hundredths which is why you would write it as 48/100. Now you just have to simplify it into 12/25. Thus, your final answer would be -12 12/25.

Finally, you have 0.408 which is read as four hundred eight thousandths. Your fraction would then be 408/1000. Now simplify to 51/125.

Answer:

7 is the right answer.

solution,

5x - 10 < 25

5x < 25 + 10

5x < 35

X < 35/5

X < 7

Hope this helps...

Good luck on your assignment..

Since triangle DEF is a scale drawing of triangle ABC, the scale factor used is equal to 1/3.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Mathematically, the scale factor of a geometric object such as a triangle can be calculated by using this formula:

Scale factor = Dimension of image/Dimension of original figure

Substituting the given parameters into the formula, we have the following;

Scale factor = 3/9

Scale factor = 1/3.

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Answer:

54, 76%, 32%

Step-by-step explanation:

Answer:

1.) 54

2.)76%

3.)32

Hope this helps :)

5.) The measure of angle D of the given triangle would be = 59.5°

To calculate the missing angles, sine rule is used which is ;

Sine rule = a/sin A = b/sin B

Where a = 23

A = 56°

b = 24

B = X

That is;

23/sin56° = 24/sinx

Make sin X the subject formula;

Sin X = sin56×24/23

= 0.829037572×24/23

= 19.89690174/23

= 0.865082684

X = Sin-1 (0.865082684)

= 59.89214806

= 59.9° (approximately)

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Answer:

w = 2

Step-by-step explanation:

After solving the equation, the value obtained for w will be equal to 2.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data in the question,

The equation given in the question,

w + 1/2 = 1/4w + 2

Add similar terms,

w - 1/4w = 2 - 1/2

(4w - w)/4 = (4 - 1)/2

3w/4 = 3/2

w = 12/6

w = 2

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The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.

Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).

On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:

heads-heads (HH),

heads-tails (HT),

tails-heads (TH),

and tails-tails (TT).

Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.

Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.

So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails

Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%. 

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The problem asks to find the approximate change in the value of z when the variables x and y change from (2, -1) to (2.04, -0.95), given the function z = x^2 - xy/(6y^2). Therefore, the approximate change in z is about 0.1933.

To find the rate of change of z with respect to x and y, we first need to take the partial derivatives of z with respect to each variable:

∂z/∂x = 2x - y/6y^2

∂z/∂y = -x/(3y^3) + 1/(2y)

Then, at the point (2, -1), we can evaluate these partial derivatives to find:

∂z/∂x = 2(2) - (-1)/(6(-1)^2) = 4 + 1/6

∂z/∂y = -2/(3(-1)^3) + 1/(2(-1)) = 2/3 - 1/2

Using the formula for total differential, we can approximate the change in z as:

Δz ≈ ∂z/∂x Δx + ∂z/∂y Δy

where Δx and Δy are the changes in x and y, respectively. In this case, Δx = 2.04 - 2 = 0.04 and Δy = -0.95 - (-1) = 0.05. Substituting the partial derivatives and the values for Δx and Δy, we get:

Δz ≈ (4 + 1/6)(0.04) + (2/3 - 1/2)(0.05) = 0.1933...

Therefore, the approximate change in z is about 0.1933.

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Answer:

10.5:12:13.5

Step-by-step explanation:

The only two values you know and can compare are 8 and 12, so you have to find the relationship between them. 12/8 = 1.5. To get the two unknown values, you multiply 1.5 by the ones you do know.

7 * 1.5 = 10.5

9 * 1.5 = 13.5

So, you get 10.5:12:13.5

The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

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Answer:

8.2

Step-by-step explanation:

The distance formula is \(\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

In this case, x_1 = 2, y_1 = 7, x_1 = 4, y_1 = -1.

We can plug in these values, getting \(\sqrt{(2-4)^2 + (7-(-1)^2} = 2\sqrt{17} = 8.2\)