solve for x : \(90 - 2/3x \leq 30\)

Step-by-step explanation:

Given that,

\(\dfrac{a}{b}=\dfrac{6}{11}\)

We need to find the statement are true for \(\dfrac{11}{6}=\dfrac{a}{b}\).

On corss multiplying, we get :

\(11b=6a\)

or

\(\dfrac{b}{a}=\dfrac{6}{11}\)

Hence, these are the equivalent expressions.

Answer:

Sine Theta is a negative number, Tan Theta is a greater number then zero.

Step-by-step explanation:

If Sine Theta is less then zero, she is a negative number. So 0 - y = -y.

So if Tan Theta is a greater number than zero, her number is not negative. So 0 + y = y

I hope this helped! I didn’t really understand the question though.

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:

63n + 54

Step-by-step explanation:

9(6+7n)

First you have to multiply 6 and 9 which gives you 54. Then you’ll have to multiply 7n and 9 which equals to 63n. Whenever you see expressions like that, make sure to multiply both numbers inside the parentheses by what’s outside the parentheses. (Well, that method is mainly done like that if there’s one number outside the parentheses—like the expression you’ve provided.)

The interest obtained after 4 years from a loan of $7500 is = $750

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

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Answer:

i think A. 6 in

Step-by-step explanation:

because the lenght is diagram 3

The base and height of the triangle is 16 meters and 7 meters respectively.

Scalene triangles are triangles which has all three sides having different side lengths and the measure of all the three angles is different.

Given that,

Area of a scalene triangle = 56 square meter

Base of the triangle = 2x - 6 meters

Height of the triangle = x - 4 meters

The formula to find the area of a triangle is,

Area = \(\frac{1}{2}\) × base × height

Substituting,

\(\frac{1}{2}\) × (2x - 6) (x - 4) = 56

\(\frac{1}{2}\) (2x² - 6x - 8x + 24) = 56

\(\frac{1}{2}\) (2x² - 14x + 24) = 56

x² - 7x + 12 = 56

x² - 7x - 44 = 0

Factoring,

(x - 11) (x + 4) = 0

So, x = 11 or x = -4.

x = -4 is not possible, since the negative lengths are not possible.

So, x = 11

So base = 2x - 6 = 16 and height = x - 4 = 7

Hence the base and height are 16 and 7 respectively.

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Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Answer:

p = k ^2 + 3 r

The measurement of the given angle is a 90 degree.

According to the statement

We have to find that the measurement of this angle.

So, For this purpose, we know that the

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

From the given information:

In the given figure, the measurement of the angle we have to find.

A 90-degree angle is a right angle and it is exactly half of a straight angle. It always corresponds to a quarter turn.

And from the figure it is clearly visible that the line of the angle exactly matches with the 90 degree.

Then the angle is 90 degree.

So, The measurement of the given angle is a 90 degree.

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Answer:

An ostrich could run near 21 meters in 2 seconds and around 84 meters in 4 seconds

Answer:

In which town does the total number have meaning?

Answer: Town B

For Town A, it does not, cannot, does not.

For Town B, does, can, does.

Answer:

oil, fuels, fossil fuels

Step-by-step explanation:

Answer:

D. 113.04

Step-by-step explanation:

The equation of line is,

⇒ y = -2x - 4

What is equation of line?

The equation of line with slope m is given by;

⇒ y = mx + b

Now, The points are;

(-2, 0) and (0, -4)

Hence, slope = (-4 - 0) / (0 - (-2) = -4 / 2 = -2

Since, Equation of line with slope (m) is;

y = mx + b

Here, Slope (m) = -2

To find the value of b we use either of the points;

Take point (0,-4)

x = 0 and y = -4

We get after substitute;

-4 = -2(0) + b

-4 = b

Hence, The equation of line is,

⇒ y = -2x - 4

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Answer:

Please look at the picture below!

Step-by-step explanation:

Hope this helps!

If you have any question, please feel free to ask any time.

Answer:

90  berries

Step-by-step explanation:

Answer:

16.94 cm

Step-by-step explanation:

The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.

An acute triangle with sides measuring 7, 4, and 2

In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .

According to the Pythagorean Theorem.

Here, 7² is greater than (4² + 2²).

So this is not possible.

An isosceles triangle with angles measuring 20° and 80°

In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,

Then the third angle measures is

180° - 20° - 80°= 80°

Two angles are congruent implies two sides are congruent.

It is possible to form isosceles triangle.

An obtuse triangle with sides measuring 5, 10, and 15

In an obtuse triangle, the longest side is opposite the largest angle.

Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.

However, 15²is greater than (5²+ 10²),

so this is not possible.

A scalene triangle with angles measuring 110° and 35°

The sum of the angles of any triangle is 180°,

so the third angle must measure

180° - 110° - 35° = 35°.

Two angles are congruent so it is isosceles triangle.

It is not possible to form scalene triangle.

Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.

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The Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.

For the stated question:

Relation :  x = b

Its absolute value of a negative is equal to the absolute amount of a positive alone.

Thus, the Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.

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76 degrees n 83 degrees it's div

Answer:

\(Rate = 15\)

Step-by-step explanation:

Given

\(R(x) = 56 - 0.020x^2\)

Required

Find the average change from​ 1,000 car seats to​ 1,050 car seats --- Missing information

This is calculated using:

\(Rate = \frac{R(b) - R(a)}{b-a}\)

In this case:

\(a = 1000\)

\(b = 1050\)

Now, we have:

\(Rate = \frac{R(1050) - R(1000)}{1050-1000}\)

\(Rate = \frac{R(1050) - R(1000)}{50}\)

Calculating R(1050)

\(R(1050) = 56 *1050- 0.020*1050^2\)

\(R(1050) = 58800-22050\)

\(R(1050) = 36750\)

Calculating R(1000)

\(R(1000) = 56 *1000- 0.020*1000^2\)

\(R(1000) = 56000- 20000\)

\(R(1000) = 36000\)

So:

\(Rate = \frac{R(1050) - R(1000)}{50}\)

\(Rate = \frac{750} {50}\)

\(Rate = 15\)

The average rate of change is 12

Answer:

Step-by-step explanation:

m

The equation that shows the Pythagorean identity is true for 0 = pi/2 is

C. 0² + 1² = 1

The Pythagorean identity is given by sin^2 θ + cos^2 θ = 1 for all values of θ, including θ = 0 and θ = π/2.

When θ = 0, sin 0 = 0 and cos 0 = 1. Thus, plugging in these values into the Pythagorean identity, we get:

sin^2 0 + cos^2 0 = 0^2 + 1^2 = 1

Therefore, the equation that shows that the Pythagorean identity is true for θ = 0 is:

0^2 + 1^2 = 1

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The number of times the students on your floor order pizza in a week, population.

A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.

A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.

A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.

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The complete question is:

Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.

Answer:

-3/20000000

Step-by-step explanation:

I subtracted the 2

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