solve for x if x:33 =27:99​

Answer:

2

Step-by-step explanation:

\(\dfrac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{3}\cdot \frac{3}{1}=\frac{6}{3}=2\). Hope this helps!

Answer:

2/3 divided by 1/3

Multiply the reciprical



2/3 x 3/1 = 6/3

6/3=2

2 is your answer

Step-by-step explanation:

Answer:

choice c

Step-by-step explanation:

take the right triangles.

if hypotenuse on the line forms 125° on other side, then within triangle it forms 55° . 180-125 = 55

so the another angle within right triangle is 35 ° which is formed at the top of triangle.

taking both right triangles it will 35+35 = 70

2w° + 70 = 360

r° = 360-70= 290°

Answer:

(x,y) -> (x-4, y+2)

Step-by-step explanation:

it is translated 4 to the left and 2 up

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

Given that each slack is purchased at $19.16, so the cost price is $19.16

Also given that each slack is marked at $22.43, so the marked price is $22.43

It is asked to use the formula,

Substitute the values and simplify,

Thus, the selling price of each pair os slacks is $41.59

Answer:

Step-by-step explanation:

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

The answer is \(\frac{4}{3}\) or 1 \(\frac{1}{3}\)

Step-by-step explanation:

Answer:

13/16

Step-by-step explanation:

First, write 1 3/13 as a fraction.

1 3/13 = 1 + 3/13 = 13/13 + 3/13 = 16/13

The reciprocal of 16/13 is 13/16.

Answer: 13/16

Answer:

\(3\frac{3}{49}\)

Step-by-step explanation:

This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.

Answer:

You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.

Step-by-step explanation:

Answer:

7.1+/-0.48

= (6.62, 7.58) hours

Therefore, the 95% confidence interval (a,b)= (6.62, 7.58) hours

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 7.1 hours

Standard deviation r = 0.78 hour

Number of samples n = 10

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

7.1+/-1.96(0.78/√10)

7.1+/-1.96(0.246657657493)

7.1+/-0.483449008686

7.1+/-0.48

= (6.62, 7.58) hours

Therefore, the 95% confidence interval (a,b)= (6.62, 7.58) hours

The 95% confidence interval of the mean time is (6.62,7.58) and this can be determined by using the formula of the confidence interval.

Given :

The following steps can be used in order to determine the 95% confidence interval of the mean time:

Step 1 - The formula of the confidence interval can be used in order to determine the 95% confidence interval of the mean time.

Step 2 - The formula of the confidence interval is given below:

\(\rm CI = \bar{x}\pm z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }\)

where the standard deviation is  \(\sigma\) and the sample size is 'n'.

Step 3 - Now, substitute the values \(\rm \bar{x}\), \(\sigma\), n and z in the above expression.

\(\rm CI = 7.1\pm 1.96\times \dfrac{0.78}{\sqrt{10} }\)

Step 4 - Simplify the above expression.

\(\rm CI = 7.1\pm0.48\)

So, the 95% confidence interval of the mean time is (6.62,7.58).

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer and Step-by-step explanation: the doc is below for how i did the problem

Answer: x = 10

Step-by-step explanation:

     To solve, we will isolate the variable x.

Given:

     2x + 7 = 5x - 23

Add 23 to both sides of the equation:

     2x + 30 = 5x

Subtract 2x from both sides of the equation:

     30 = 3x

Divide both sides of the equation by 3:

     10 = x

Reflexive property:

     x = 10

Answer:

9 gallons after drive 5 hours

14-t=left after drive t hours

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Step-by-step explanation:

the first box is linear since when you add it to (x,y) it gives a straight line

Answer to the given equation is 32z + 3y = 14.

15y - 60 - 18y + 22 = 32z - 52

- 3y - 38 = 32z - 52

- 3y + 52 - 38 = 32z

- 3y + 14 = 32z

32z + 3y = 14

Hence, we get 32z + 3y = 14

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Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

The cost to waterproof a canvas truck cover that is 15’ x 24 will be D. $180.

It should be noted that from the information, it costs $0.50 per square yard to waterproof canvas.

Therefore, the cost to waterproof a canvas truck cover that is 15’ x 24 will be:

= 15 × 24 × $0.50

= $180.00

In conclusion, the correct option is D.

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Answer: Triangle C.

Step-by-Step Explanation:

To solve this problem, we need to understand what it means for a triangle to be a translation of another triangle. A translation for a triangle means that it is the same shape and size as the original triangle, but it has shifted (or moved) a specific number of units either up, down, left, or right.

In this problem, we have Triangle P, which has been shifted 5 units to the right and 7 units up to form Triangle C. To determine which triangle is a translation of Triangle P, we can look at the coordinates of the different triangles.

Triangle A: (1, 4), (3, 7), (5, 6)

Triangle B: (2, 3), (4, 6), (6, 5)

Triangle C: (6, 11), (8, 14), (10, 13)

Triangle D: (3, 5), (5, 8), (7, 7)

If we compare the coordinates of each triangle with those of Triangle P, we can see that Triangle C, with coordinates (6, 11), (8, 14) and (10, 13), is the translation of Triangle P because all of the coordinates of Triangle P have been shifted 5 units to the right, and 7 units up. Therefore, the answer is Triangle C.

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

that truck must be straight fire

Answer:

78 eggs

Step-by-step explanation:

13 × 6 = 78 eggs

Hope this helps! :)

Answer:

Yes it would be 6x13=78

Step-by-step explanation:

cross multiplication and divide:

1 cartoon = 6 eggs

13 cartoons = x

Answer:

D

Step-by-step explanation:

Answer:

4. Median

5. Altitude

6. Altitude

7. Neither

Answer:

The answer is within the range of 0.1 - 0.9.

Step-by-step explanation:

For example, 0.5 could be the answer.