2x + 8 = 9x - 6 help​

Answer:

The answer is 110 miles

Step-by-step explanation:

make me the brainliest plz

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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Answer:

the perimeter of the rectangle is 26 meters.

Step-by-step explanation:

To find the perimeter of the rectangle, we need to know its width. We can find the width by dividing the area by the length:

width = area / length = 36 / 9 = 4 meters

Now we can use the formula for the perimeter of a rectangle:

perimeter = 2(length + width)

Substituting the given values, we get:

perimeter = 2(9 + 4) = 2(13) = 26 meters

Therefore, the perimeter of the rectangle is 26 meters.

Yes!, This is a proportional relationship.

A proportional relationship means that the ratios of two variables are equal.

According to the question, the requirements of the recipe are

Number of cups of sour cream required be x1 = 4

Number of packages of onion soup mix required be y1 = 3

Used products by Harlan,

Cups used by Harlan of sour cream be x2 = 2

Packages of onion soup mix used by Harlan be y2 = 1.5

As we can see that,

x1/x2 = y1/y2

4/2 = 3/1.5

2 = 2

L.H.S = R.H.S                          ( ratio is same)

Therefore, we conclude that the above case is a proportional relationship.

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An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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The absolute minimum of the function is f ( -10 ) = -1

Given data ,

Let the function be represented as f ( x )

Now , the function f ( x ) is plotted on the graph

where the minimum of a function is the smallest value that the function takes on over its entire domain.

It is the point on the graph of the function that is the lowest possible point

So , the function has the minimum value of - 1 at the point x = -10

Hence , the minimum of function is f ( -10 ) = -1

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Answer: Since there are 500 tumblers in each batch, there are a total of:

500 tumblers/batch × 3 batches = 1500 tumblers

To make a set of 3 tumblers with one tumbler of each color, we can choose one tumbler from each batch. There are 500 choices for the tumbler from the red batch, 500 choices for the tumbler from the yellow batch, and 500 choices for the tumbler from the purple batch. Therefore, there are:

500 choices for the first tumbler × 500 choices for the second tumbler × 500 choices for the third tumbler = 500^3 = 125,000,000 possible sets of 3 tumblers.

However, we are interested in the number of sets that can be made from the available tumblers. Each set requires one tumbler from each batch, and since there are 500 tumblers in each batch, we can make:

500 sets/batch = 500 sets/batch × 3 batches = 1500 sets

Therefore, we can make a total of 1500 sets of 3 tumblers from the available tumblers.

Step-by-step explanation:

Answer:

  132°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...

  arc CB = 2×∠CAB = 2×40° = 80°

Arc AC is twice the measure of inscribed angle ABC, so ...

  arc AC = 2×∠ABC = 2×26° = 52°

The measure of central angle AOB is the same as the measure of arc AB.

  x = ∠AOB = arcs AC +arc CB = 52° +80°

  x = 132°

Answer:

This is impossible.

Step-by-step explanation:

You didn't give us how much 1 yard is.

Answer: How much is one yard?

Step-by-step explanation:

Answer:

14-16x=32-10x

14-6x=32

-6x=18

x=-3

hope this helps

have a good day :)

Step-by-step explanation:

The figure consists of a semi-circle and a triangle.

Hence,

Given a triangle with base b and perpendicular height, h, then the area, A, of the triangle is given by

In this case,

b = 3km, and h = 4km

therefore,

Given a semi-circle with diameter, d, the area, say S, of the semi-circle, is given by

We must have that,

In our case,

d = 4km

therefore,

The value of x in the given triangle is 25

The triangle shown is a right triangle.

Each side of the triangle can be found by using the Pythagora's theorem

The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"

Applying the Pythagora's theorem:

\(x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25\)

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Answer:

The correct answer here is that there were originally 60 miles on car B. We can work this out with the following equation -

A = B - 50B = C + 30A + 50 = BB+ 50 = C + 802A = 3C - 70

Solution: A = 110, B = 60, C = 30

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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Answer:

The answer is 5

Step-by-step explanation:

When you are simplifying you take a number the highest number and put it into it for example 7 goes In to 35, 5 times. So the simplified answer would be 5.

Answer: 7:40

Step-by-step explanation:

Add all of the kids candy bars, then see how much John has. The ratio is 35:200, but we need to simplify it. Thus, we will find the GCF (greatest common factor).⬇️This is the work on how I got the answer⬇️

The GCF of 35 and 200 is 5

Divide both terms by the GCF, 5:

35 ÷ 5 = 7

200 ÷ 5 = 40

The ratio 35 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

35 : 200 = 7 : 40

Therefore:

35 : 200 = 7 : 40

The solution of the expression is,

a) 3,724

b) 2,784

We have to given that,

a) Divide 70,756 by 19.

b) Subtract 940 from your answer to part a).​

Now, We can simplify as,

a) Divide 70,756 by 19.

⇒ 70,756 ÷ 19

⇒ 3,724

And, Subtract 940 from your answer to part a).​ that is, 3724

⇒ 3724 - 940

⇒ 2,784

Therefore, The solution of the expression is,

a) 3,724

b) 2,784

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Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

8ft is the dstance between them.

5+3 = 8

Answer:

1.6 * 10^{-8}

Step-by-step explanation:

Given the following data;

Time = 0.000000016 nanoseconds

To express in standard scientific notation;

Scientific notation is a standard way of expressing very large numbers in powers of 10.

0.000000016 nanoseconds = 1.6 * 10^{-8} nanoseconds.

Note: count the number of zeros (0s) before 1 and write it to the power of 10.

Answer:

the correct answers are 1.6E-8 and 1.6 × 10-8

Answer:

Hypotenuse of first triangle is 7.61

Hypotenuse of second triangle is 45

Step-by-step explanation:

Given that:

Triangle 1:

a = 3

b = 7

Using Pythagorean theorem;

a²+b²=c²

\((3)^2+(7)^2=c^2\\9+49=c^2\\c^2=58\)

Taking square root on both sides

\(\sqrt{c^2}=\sqrt{58}\\\)

c = 7.61

Hypotenuse is 7.61

Triangle 2:

a = 27

b = 36

Using Pythagorean theorem;

a²+b²=c²

\((27)^2+(36)^2= c^2\\729+1296=c^2\\c^2=2025\)

Taking square root on both sides

\(\sqrt{c^2}=\sqrt{2025}\\\)

c=45

Hypotenuse is 45

Hence,

Hypotenuse of first triangle is 7.61

Hypotenuse of second triangle is 45

Answer:

7.6 and 45

Step-by-step explanation:

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer:

0

Step-by-step explanation:

7 + (-8) + 2 + (-1)

is the same as:

7 - 8 + 2 - 1

Simplify these:

-1 + 1

Solve:

0

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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Answer:

y = 1/2x -2

Step-by-step explanation:

y=mx+b

"m" is the slope, in this case 1/2

"b" is the y intercept (the point on the y-axis), which in this case is -2

Answer:

y = \(\frac{1}{2}\)x - 2

Step-by-step explanation:

Hope I could help.

The problem given shows an exponential decay with a base of 0.946, the initial value is 131000

An exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

A) Since the house is losing value, this is an exponential decay.

B) The the house has an initial value of it's worth in 2009 which is $131,000

C) The exponential base for the function will be 0.946

D) The function to model this problem can be expressed as

f(x) = a(1 - r)ˣ

f(x) = 131000(1 - 0.054)ˣ

f(x) = 131000(0.946)ˣ

E) The final answer to this problem is represented by the function in question D as 131000(0.946)ˣ

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