Solve the equation:5(3+6a)=-15+6(5+5a)

Answer:

-4

Step-by-step explanation:

1st Step:

Set up our equation, so we get x + 69 + 25 + 90 = 180

Remember: All sides of a triangle add to 180.

2nd Step:

Now that we've got our equation: x + 184 = 180. Subtracting 184 from 180 gives us -4, which is our answer.

Key Points To Remember:

- The angles of a triangle always add up to 180.

- The little square at the bottom of the triangle means the angle is 90.

The coordinates of A is (0,2)

How can a image be reflected?

Behind a mirror's glass, people can see a reflection of themselves. The shiny surface creates that image when light rays strike it and reflect or bounce back, creating a "mirror image." Contrary to popular belief, the reflection is not mirrored from left to right as many people believe.

The coordinates of the point A is (-3,-2)

The rule of reflection over x-axis is

(x,y)→(x,-y)

So the point A after reflecting over the x-axis becomes

A(-3,-2)→ A(-3,2)

To move the point P(x,y), a units right and b units up we use

P(x+a,y+b)

As per the question as it moves 3 units right

∴ A(-3.2)

⇒A(-3+3,2)

The point A now is A(0,2)

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Using alternating and corresponding angle theorems, the values of x are 11, 4, -4 and 10 respectively

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

1)

9x + 8 = 107 (alternating angles are equal)

9x + 8 = 107

9x = 107 - 8

9x = 99

x = 11

2)

20x = 80 (alternating angles are equal)

20x = 80

x = 4

3)

x + 84 = 80 (corresponding angles are equal)

x = 80 - 84

x = -4

4) 120 + 6x = 180

This is gotten from applying alternating angle theorem and angle on a straight line theorem

120 + 6x = 180

6x = 180 - 120

6x = 60

x = 10

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Answer:

³/₈ cup of flour

Step-by-step explanation:

Given;

a cake recipe as 3/4 cup of flour

Determine how many cups of flour gray will use;

half of the size that the recipe = ¹/₂ x 3/4 cup of flour

                                                  = ³/₈ cup of flour

Therefore, gray will need ³/₈ cup of flour, to make it half of the size that the recipe.

Answer:

2

Step-by-step explanation:

=4 (5)+3 (3)×-2 I just swapped the alphabets into the given number

=20+9×-2 then you use the BODMAS method

=2

The value of the variable x is 24

To determine the value of the variable, it is important that we know;

From the information given, we have;

<NLM ≅ <NOP

We have the values;

NLM = x + 12

NOP = 20 + 16

Now, substitute the values

x + 12 = 20 + 16

add the values

x + 12 = 36

collect the like terms

x = 36 - 12

subtract the values

x = 24

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Answer:A 95 stamps

Step-by-step explanation: 367 + 95 = 462

Answer:A

Step-by-step explanation:

Answer:

Your answer would be 94 :)

Answer:

94.0

Step-by-step explanation:

When rounding to the tenths place, you ony round to one digit past the decimal. Since all the other numbers round up to less than 5, the answer is 94.0, or just 94 depending on how your teacher wants it written.

The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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Answer:

Ok

Step-by-step explanation:

The table completely to represent Samantha's data is

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  X_i  and Y_j  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We are given that;

Number of dogs playing=3232

Number of puppies=1515

Now,

We can calculate the number of dogs that have long hair by using the information that there are 66 more dogs that have long hair than dogs that do not have long hair. We know that there are 1111 dogs that have long hair and 1717 dogs that are not puppies. So, the number of dogs that do not have long hair is 1717 - 66 = 1651.

We can also check that the total number of dogs is equal to the sum of the number of puppies and the number of not puppies. 1515 + 1717 = 3232.

Therefore, the table will be;

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

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The complete question is;

Samantha gathered the following information on a given day at the dog park.

• There are 3232 dogs playing at the dog park.

• 1515 of the dogs are puppies.

• 1111 of the dogs are not puppies and have long hair.

• There are 66 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha's data.

Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Answer:

28, 36, 40

Step-by-step explanation:

Add up the numbers in the ratio, giving us 26. Perimeter divided by 26 equals 4. Then, four times each of the numbers in the ratio gives you the lengths

Answer:

D. 60 ft²

Step-by-step explanation:

Area formula :

Solving :

Answer:

D. 60 ft2

Step-by-step explanation:

Area of a parrelleogram:

bxh

base x hieght

The base is 10ft, the height is 6 ft

(it cannot be 8ft because that line is slanted)

10x6=60ft2

Answer:

quadrant 2 you're welcome :-)

Answer:

Quadrant 2

Step-by-step explanation:

Since the x coordinate is negative, it must in quadrant 2 or 3

Since the y coordinate is positive, it must in quadrant 1 or 2

It must be in quadrant 2

The total cost of skateboard after tax is removed = $87.53

Initial cost of scateboard = $79.57

Discount = 12%

Discounted price = Initial cost of scateboard × 12%

= 79.57 × 0.12

Discounted price = 9.5484 = $9.55

Note: Discount is subtracted while sales tax is added to the cost of item

The amount left after discount is removed before tax= Initial cost of scateboard - Discounted price

The amount left after discount is removed = $79.57 - $9.55

The amount left after discount is removed = $70.02

Sales tax = 25%

Amount of sales tax = The amount left after discount is removed × 25%

= $70.02 × 0.25 = 17.505

Amount of sales tax = $17.51

The total cost of skateboard after tax is removed = The amount left after discount is removed + Amount of sales tax

The total cost of skateboard after tax is removed = $70.02 + $17.51

The total cost of skateboard after tax is removed = $87.53

\(\\ \sf\longmapsto V=5in^3\)

\(\\ \sf\longmapsto side^3=5\)

\(\\ \sf\longmapsto side=\sqrt[3]{5}\)

\(\\ \sf\longmapsto side=2.2in\)

Side gets tripled

\(\\ \sf\longmapsto Volume=6.6^3\)

\(\\ \sf\longmapsto Volume=287.4in^3\)

Answer:

Step-by-step explanation:

If the side of the cube is s and volume is 5 and you triple the side then:

The enlarged cube has the volume:

Answer:

1.702 km

Explanation: 500cm to meters is 5 so 243m plus 5 is 248m so 1950m minus 248 is 1702 meters so converted to km is 1.702 km.

Answer:

\((6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37\)

Answer:

71%

Step-by-step explanation:

Firstly, 200 - 58 = 142

Next, 142 / 200 = 0.71

0.71 x 100 = 71%

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

Slope = -1

Step-by-step explanation:

We will use 2 points from the graph.\

(0 , 2) and (2 , 0)

formula for slope = y2 - y1/x2 - x1

0 - 2/2 - 0

=-2/2

=-1

Answer:

10/11

Step-by-step explanation:

Answer:

\( ★\:\:\sqrt{ \frac{100}{121} } = \sqrt{ \frac{10 \times 10}{11 \times 11} } = \sqrt{ \frac{ {(10)}^{2} }{ {(11)}^{2} } }= \boxed{\frac{10}{11} }✓ \\ \)

Answer:

The range of this quadratic function is

-infinity < y ≤ 2.

Answer:

16 feet

Step-by-step explanation:

5 inches = 80 1 inch = 80/5= 16feet

Answer:

x=12 ft

Step-by-step explanation:

5/80=.75/x

5x=60

x=12 ft

g(x) = x^2 - 3

f(x) = x^3+7x^2-x

Start with the g(x) function. Replace every x with f(x)

g(x) = x^2 - 3

g(f(x)) = ( f(x) )^2 - 3

Then replace the f(x) on the right side with x^3+7x^2-x

g(f(x)) = (x^3+7x^2-x)^2 - 3

The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6

So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6

Answer:

8

24

3

yes

Step-by-step explanation:

the original area of the figure is  4 · 2 which equals 8.

Since the dilation that is needing to be done is by a scale factor of 3 then all we need to do is multiply the original area by 3, which gives us the new area 24.

So because the only transformation was a dilation that didn't significantly change the figure then we can say that both figures are similar.

The level of measurement of the data "restaurant rating (superior, good, average, poor, inferior)" is ordinal.

Ordinal level of measurement refers to data that has a natural order or ranking, but the difference between each category is not necessarily equal. In this case, the restaurant ratings have a clear order, with superior being the highest and inferior being the lowest, but the difference between each category is not specified or quantifiable.

An ordinal scale allows for the ranking or ordering of data but not for mathematical operations such as addition, subtraction, or division. This is because the intervals between categories are not equal and cannot be assumed to be so.

In summary, the restaurant rating data is an example of ordinal level of measurement as it has a clear order or ranking, but the intervals between categories are not equal and cannot be used for mathematical operations.

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