the perimeter of a rectangle is 5x and its length 3/2 x. if the area of the rectangle is 294, what is the value of x?

Answer:

----------------------

There are various combinations of coins.

In total there are:

Answer:

234

Step-by-step explanation:

234 because you have to do 1950 - 88% which will get you 234$

Answer:

64 degrees

Step-by-step explanation:

A triangles angles always add up to 180. So add 58 + 58 to get 116. Now subtract 180 - 116 to find the measure of angle A. You get 64.

Hope it helps!

Step-by-step explanation:

58 +58 = 116

180-116 = 64

So angle 4 = 64

The sum of the given vectors is 14i+11j.

Given that are vectors u = <3, 3> and v = <11, 8> we need to find u + v,

So,

Considering the vectors, a and b in two-dimensional,

\(\overrightarrow{a} = x_1i+y_1j\\\overrightarrow{b} = x_2i+y_2j\\\)

The following step is used to find out the vector sum of a and b;

i-component of the vector a is added with the i-component of the vector b,

j-component of the vector a is added with the j-component of the vector b,

Therefore, the sum is =

\(\overrightarrow{a}+\overrightarrow{b} = (x_1+x_2)i +(y_1+y_2)j\)

Here,

\(\overrightarrow{u} = 3i+3j\\\\\overrightarrow{v} = 11i+8j\)

The sum =

\(\overrightarrow{u}+ \overrightarrow{v} =(3i+3j)+(11i+8j)\\\\= (3+11)i + (3+8)j\\\\= 14i+11j\)

Hence the sum of the given vectors is 14i+11j.

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The required average density of the giant envelope is equal to 3.30 x 10^9  kg/m^3.

Average density of the giant's envelope, required the mass and volume of the envelope.

Let us assume that the giant is a sphere with a radius of 0.6 AU,

the volume of the envelope is ,

V = (4/3)πr³

  = (4/3)π(0.6 AU)³

  = (4/3)(3.14)(0.6 × 149.6 ×10⁶ )³

To convert this volume to units of cubic meters,

Multiply by the conversion factor by,

1 AU = 149.6 x 10⁶m

⇒1 AU³ = (149.6 x 10⁶ km)³

⇒1 AU³ = 3.35 x 10³³ m³

Now ,calculate the density of the giant's envelope using the formula,

density = mass / volume

Giant's envelope has a mass of 0.5 solar masses,

which is equivalent to,

M = 0.5 x 1.99 x 10³⁰ kg

   = 9.95 x 10²⁹ kg

Average density of the giant's envelope is equals to,

⇒ density = 9.95 x 10²⁹ kg / (4/3)(3.14)(0.6 × 149.6 ×10⁶ )³

                = 3.30 x 10^9 kg/m^3

Therefore, the average density of the giant's envelope is approximately 3.30 x 10^9  kg/m^3.

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The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

Answer:

x=2 ( see Image below)

Step-by-step explanation:

cancel equal terms on both sides of the equation

2(x-5)=-6

move the constant to the right -hand side and change its sign

2x= -6 +10

Calculate the sum

2x=4

divide both sides of the equation by 2

x=2

Hello,

"perpendicular to the line y= - 1/2x +4 "

so y = -1/2x + p

-1/2 × 6 + p = 4 ⇔ -3 + p = 4 ⇔ p = 4 + 3 = 7

y = -1/2x + 7

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer:

1/36

Step-by-step explanation:

On the first throw, the probability of rolling any particular number, 1 through 6, is 1 out of 6. So the chance of rolling a 4 is 1/6.

On the second roll, your probability of rolling a 2 is 1/6.

The 'trick' is knwoing what to do with those two numbers.

Here's the rule: If events are dependent on one another, you multiply the probabilities.

Any time you see a scenario where X has to happen and then some other thing (X, Y, or whatever) has to happen, the events are dependent.

Probability of rolling a 4 and then rolling a 2 = 1/6 * 1/6 = 1/36

Hope this helps.

Answer:

y = x + 5

Step-by-step explanation:

Slope = - 1

Slope of the perpendicular line = 1

Point (2,7)

(b) y-intercept= 7 - (1)(2)

= 5

Answer:

1432.25

Step-by-step explanation:

8.50 x 40 = 340

340 x  4 = 1360

half of 8.50 is 4.25

4.25 x 10 = 42.5

4.25 x 5 = 21.25

4.25 x 2 = 8.5

add

1360 + 42.5 + 21.25 + 8.5  = 1432.25

i hope i did my math right, good luck mate

Answer:

1) congruent

2) corresponding angles

3) 3x+21 = 6x-60

4) x =9

Step-by-step explanation:

1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.

2) the file below

3) we know they are equal because the congruent correspoding angles.

4) 3x+21 = 6x-60

=> 21 = 9x-60

=> 81 = 9x

=> 9 = x

Step-by-step explanation:

Put both of the equations into   y = mx + b form to compare them

                   m = slope    if they have the same slope they are parallel and do not intersect

                    b = y axis intercept

                  if m and b are equal in each of the equations , they are the same line

2x+y = 0   ======>   y =  - 2x + 0

2y = -4x + 6  ====>   y =  - 2x + 3

The both have the same slope = -2   so they are parallel

   but they have different  b  values so they are not the same lines

No intersection means no solution :   parallel  lines do not intersect  

Answer:

the data is fairly distributed

Answer:

The data is fairly evenly distributed.

Step-by-step explanation:

I did the quiz

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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Answer:

75%

Step-by-step explanation:

100/64*48=75%

Answer:

(2,5)

Step-by-step explanation:

Since it is reflected across the y-axis only the x point will change and vise-versa

Answer: the vote will get 82.45%

Step-by-step explanation:

Answer:

Simile

Step-by-step explanation:

Metaphor: A comparison of two things without the use of “like” or “as”

Simile: A comparison of two things using “like” or “as”

Personification: Giving human qualities to non-human things

Answer:

x≥7

Step-by-step explanation:

mark me brainliest please

"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

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Answer:

the father is 45 and the son is 15

The formula for the 'B' variable is V/MK

To solve for the variable B is to make it the subject of formula.

Subject of formula is the variable that is expressed in terms of the other variables in a given formula, expression, function or equation.

Example;

In the equation,  2x + y = 4, let's make 'y' the subject of formula

y = 4 - 2x

Given the expression;

V=BMK

To make 'B' the subject, we need to divide both sides by the coefficients of B, we have;

V/MK = BMK/MK

B = V/MK

Thus, the formula for the 'B' variable is V/MK

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Answer:

Step-by-step explanation:

Note that in this diagram, point A represents point X, point B represents point Y, and point C represents point Z.

From the diagram, it appears as if \(\overline{XZ} \perp \overline{XY}\). To determine if this is the case, we can find the slopes of both segments.

\(m_{\overline{XZ}}=\frac{4-1}{4-1}=1\\m_{\overline{XY}}=\frac{-1-1}{3-1}=-1\)

Since these slopes are negative reciprocals, we know that they are perpendicular.

This means we can use the formula \(A=\frac{1}{2}bh\), where b is the base (XY) and h is the height (XZ).

Using the distance formula,

\(XY=\sqrt{(3-1)^{2}+(-1-1)^{2}}=2\sqrt{2}\\XZ=\sqrt{(4-1)^{2}+(4-1)^{2}}=3\sqrt{2}\)

This means the area is \(\frac{1}{2}(2\sqrt{2})(3\sqrt{2})=\boxed{6}\)

To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. If W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. So the option A is correct.

Let W be the set of all vectors

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\)

where b and d are real.

We can write the matrix as;

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]=b\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right]+d\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

Remember that if aα + bβ ∈ W, ∀ α, β ∈ W and a, b are scalers, then W is a vector space. Let,

\(\alpha=\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right],\beta=\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

These are independent vectors.

bα + dβ ∈ W. where α, β are independent vectors.

That is WE is a span of {α, β}.

Hence, W is a vector space.

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The complete question is:

Let W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. Determine if W is a vector space and check the correct answer below.

A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}.

B. W is a vector space because it contains the zero element.

C. W is not a vector space because it does not have additive closure

D. W is not a vector space because it does not have a zero element.

Answer: 1/2

Step-by-step explanation:

1/3 = 2/6 so 2/6 + 1/6 = 3/6

3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

Since we're dealing with fractions, the total fraction is 1

Mortgage =1/3

Food =1/6

Fraction of income left=x

So we equate everything above to 1

\( \frac{1}{3} + \frac{1}{6} + x = 1\)

\( \frac{1}{3} + \frac{1}{6} + x = 1 \\ lcm = 6 \\ multiply \: each \: term \: by \: 6 \\ 6 \times \frac{1}{3} + 6 \times \frac{1}{6} + 6(x) = 6(1) \)

\( = > 2(1) + 1(1) + 6x = 6 \\ 2 + 1 + 6x = 6 \\ 3 + 6x = 6\)

\(6x = 6 - 3 \\ 6x = 3 \\ x = \frac{3}{6} = \frac{1}{2} \)

Based on the fact that Kim rolled a two standard six-sided dice, the chance that both will be 4s is 1 / 36.

The event that the first dice and the second dice both roll to be 4s when rolled by Kim are independent events because they do not affect each other.

The probability of two independent events happening at the same time is:

= Probability of event A x Prob. of event B

The chance that both die would give a roll of 4s is:

= Probability of rolling 4 x Prob. of rolling 4

= 1 / 6 x 1/6

= 1  / 36

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