which value of x makes this equation true? 100-6x =160-10x

Answer:

4,-4

Step-by-step explanation:

-4 times -4 equals 16

4 times 4 equals 16

Answer:

x=4

Step-by-step explanation:

square root of 16 and x^2 is 4

Answer:

2/3* 4/5 = 8/15

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached file below.

Given:

So assume that the the playground is divided into 5 equal part

=> 1 part is used for students to sit and read or (1/5)

=>  the remaining equal part is 4  or (4/5)

Because 2/3 of the remaining part is used for playing soccer

=> the equation represents the part of the playground used for soccer is:

2/3 of 4/5

= 2/3* 4/5

= 8/15

To find the part of the playground used for soccer, remember one-fifth is for reading, leaving four-fifths. Then, calculate three-quarters of the remaining area for soccer.

To represent the part of the playground used for soccer, we need to consider that one-fifth of the playground is used for students to sit and read. Therefore, the remaining four-fifths of the playground is available for other activities. Since three-quarters of the remaining playground is used for playing soccer, the equation representing the part of the playground used for soccer is:

4/5 * 3/4 = 12/20 = 3/5

Answer:  

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

Step-by-step explanation:  

Total number of cars = 150

Cars that failed the safety inspection = 18

The proportion is given by

p = 18/150

p = 0.12

p = 12%

The confidence interval is given by

p ± margin of error

Where margin of error is 0.02

0.12 ± 0.02

Lower limit = 0.12 - 0.02

Lower limit = 0.10

Lower limit = 10%

Upper limit = 0.12 + 0.02

Upper limit = 0.14

Upper limit = 14%

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

Answer:

(0.10, 0.14)

Step-by-step explanation:

Answer:

AC

Step-by-step explanation:

We know that a diameter of a circle is any straight line segment that passes through the center of the circle such that whose endpoints lie on the circle. It is also be known as the longest chord of the circle.

In the given figure we can see that only AC and BE are the  line segments that pass through the center of the circle such that whose endpoints lie on the circle.

Answer:

AC

Step-by-step explanation:

Answer:

[tex]V=35.3\ m^3[/tex]

Step-by-step explanation:

-Given the cone's height is 9.1m and the Circumference is 12.1

#We use the circumference formula to calculate the radius:

[tex]C=2\pi r\\\\12.1=2\pi r\\\\r=\frac{12.1}{2\pi}=\frac{6.05}{\pi}\ cm[/tex]

-The volume of the cone using the radius above can then be calculated as follows:

[tex]V=\pi r^2\frac{h}{3}\\\\=\pi\times(\frac{6.05}{\pi})^2\times \frac{9.1}{3}\\\\\\=35.3\ m^3[/tex]

Hence, the cone's volume is [tex]35.3\ m^3[/tex]

Answer:

p=mv

Step-by-step explanation:

Answer:

The answer is p = m×v.

Step-by-step explanation:

The formula of momentum is p = m×v where m is the mass of object and v is the velocity of an object.

Answer:

Positive

Step-by-step explanation: The slope is 4/3

Answer:

slope is positive m=4/3

Step-by-step explanation:

The number of solutions for the given equation is one.

Here, we have,

To determine the number of solutions for the equation 3(x - 2) = 22 - x, we can solve it and analyze the result.

Let's simplify and solve the equation step by step:

3(x - 2) = 22 - x

3x - 6 = 22 - x

4x = 28

x = 7

After simplifying, we find that x = 7.

Now, we can analyze the number of solutions:

Since we have found a specific value for x that satisfies the equation, namely x = 7, there is exactly one solution.

Therefore, the number of solutions for the given equation is one.

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Answer:

1/12

Step-by-step explanation:

Since all are equally likely, each outcome has a probability of 1/12.

P(9) = 1/12

Answer:

1/12

Step-by-step explanation:

The probability of rolling a nine is given by the number of good outcomes over the total outcomes

P(9) = number of 9's / total

       =1/12

Answer:

21x-15

Step-by-step explanation:

Use the distributive property:

3×7x=21x

3×5=15

Don't forget the - sign!!!

So,

3(7x - 5) = 21x - 15

Final answer:

The expression 3(7x - 5) using the distributive property is equivalent to 21x - 15, which is obtained by multiplying 3 by each term inside the parenthesis.

Explanation:

The expression 3(7x
- 5) is equivalent to 21x - 15. This process is known as the distributive property, where you multiply the number outside the parenthesis by each term inside the parenthesis. Let's break it down step by step:

Multiply the first term inside the parenthesis by 3: 3 ×7x = 21x.

Multiply the second term inside the parenthesis by 3: 3 ×(-5) = -15.

Combine these results to get the equivalent expression: 21x - 15.

The number of triangles is (n-2)

Answer:

f(6)=-29

Step-by-step explanation:

f(6)=-5(6)+1

f(6)=-30+1

f(6)=-29

The value of f(6) is -29.

Given,

f(x)= -5x+1

We need to find f(6).

A function is denoted by f(x) and the point can be a value of x.

The x values are called domain and f(x) is called the output.

Example:

f(x) = x + 2

At x = 1

f(1) = 1 + 2 = 3.

Find f(x) = -5x + 1 at x = 6.

f(x) = -5x + 1

f(6) = - 5 x 6 + 1

     = -30 + 1

     = -29

This means the function f(x) is -29 at x = 6.

Thus the value of f(6) is -29.

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Answer:

Explanation:

Call the quadrants I, II, III, and IV, counterclockwise, and the kinds of flowers A, B, C, and D.

Start by assigning a flower of kind A to quadrant I.

Then, quadrant II can have flower B, C, or D.

If quadrant III has A, then quadrant IV can have either B, C, or D. That is 3 different gardens.

If quadrant III has C, then quadrant IV can have either B or D. That is 2 different gardens.

If quadrant III has D, then quadrant IV can either either B or C. That is 2 different gardens.

Those are all the possible different gardens if A is assigned to quadrant I and B is assigned to quadrant II: 3 + 2 + 2 = 7.

Working yet with A in quadrant I but assigning C to quadrant II, you can make the same reasoning as above to get other 7 gardens.

The same with A in quadrant I but D in quadrant II, other 7 different gardents.

In total, you find 7 × 3 = 21 different gardens when flowers of kind A are assingned to quadrant I.

Starting with a flower of kind B in quadrant I, there will be other 21 different gardens. The same for C and D. Then, in total, there are 4 × 21 = 84 different possible gardens.

Answer:

84

Step-by-step explanation:

Quadrants A and C either have the same kind of flower, or they have different flowers.

If quadrants A and C have the same kind of flower, there are 4 ways to choose this flower. There are then 3 ways to choose the flower for quadrant B, and 3 ways to choose the flower for quadrant D, so there are 4 x 3 x 3 = 36 possible ways in this case.

If quadrants A and C have different kinds of flowers, then there are 4 ways to choose the flower for quadrant A, then 3 ways to choose the flower for quadrant C. Then there are 2 ways to choose the flower for quadrant B, and 2 ways to choose the flower for quadrant D, so there are 4 x 3 x 2 x 2 = 48 possible ways in this case.

Therefore, there are a total of 36 + 48 = 84 ways to plant the flowers.

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Right triangle

hypotenuse = 24

Opposite side = 15

Adjacent side = ?

Process

1.- Calculate the adjacent side using the Pythagorean theorem.

          hypotenuse² = opposite side² + adjacent side²

-Solve for adjacent side

          Adjacent side² = hypotenuse² - opposite side²

-Substitution

           Adjacent side² = 24² - 15²

-Simplification

           Adjacent side² = 576 - 225

           Adjacent side = 351

-Result

           Adjacent side = 18.73°

2.- Find the value of x°

a) Using sin x

              sinx = Opposite side/Hypotenuse = 15/24 = 0.625

                  x = 38.68°

b) Using cos x

              cos x = Adjacent side/Hypotenuse = 18.73/24 = 0.78

              cos x = 38.68°

c) Using tan x

              tanx = Opposite side / Hypotenuse = 15/18.73 = 0.80

             tan x = 38.68°  

Answer:

-6x +21 -15y

Step-by-step explanation:

−3(2x+(−7)+5y)

Distribute

-3*2x + -3*-7 + -3*5y

-6x +21 -15y

Step-by-step explanation:

To find the product with unknown values of variables, multiply the terms and equate the value to the given product.

[tex](7d^{2} - 3d + g)(3d^{2} + hd - 8)[/tex] = [tex]21d^{4} + 7hd^{3} - 56d^{2} - 9d^{3} - 3hd^{2} + 24d + 3gd^{2} + ghd - 8g[/tex]

[tex](7d^{2} - 3d + g)(3d^{2} + hd - 8)[/tex]     = [tex]21d^{4} + (7h-9) d^{3} + (3g-56-3h)d^{2} + (24+gh)d -8g[/tex]   ... (1)

Comparing eq(1) to the product given in question,

-8g = -1

g = 2

24 + gh = 14, sub g =2,

24 + 2h = 14

h = -5

Answer:

c 35%

Step-by-step explanation:

2 green,5 yellow, 6 red,and 7 blue marbles

2+5+6+7 = 20 marbles

P(blue) = blue marbles / total marbles

             = 7/20

              = 35/100

               =35%

Answer:

A. (x + 8, y - 4)

Step-by-step explanation:

When something is translated to the right, x goes up, and when something is translated down, y goes down.

Alternatively, eft means down for x and up means up for y.

Answer:

P(A) ≠ P(D)

Step-by-step explanation:

P(A|D) = P(AD)/P(D)

P(D|A) = P(AD)/P(A)

The two denominators are not equal, so the quotients cannot be equal.

P(A|D) and P(D/A) are not equal because the total number of A and D are not equal.

It is a branch of mathematics that deals with the occurrence of a random event.

From the table, we have the following parameters:

n(A) = 8

n(D) = 10

n(A and D) = 2

P(A|D) and P(D|A) are both conditional probabilities, and they are calculated using:

P(A|D)=2/10

=1/5 = 0.2

P(D/A)= 2/8

=1/4

From the above computations, we have:

P(A|D)≠P(D/A)

Hence, P(A|D) and P(D/A) are not equal because the total number of A and D are not equal.

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Answer:

- 85

Step-by-step explanation:

The n th term of a geometric series is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

1[tex](-2)^{n-1}[/tex] ← is the n th term of a geometric series

with a = 1 and r = - 2

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

    = [tex]\frac{1((-2)^{8}-1 }{-2-1}[/tex]

    = [tex]\frac{256-1}{-3}[/tex]

    = [tex]\frac{255}{-3}[/tex]

    = - 85

Answer:

18.02 cm

Step-by-step explanation:

A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.

Remember, because we know the length and width, we know the two sides.

10^2 + 15^2 = c^2

100+225 = c^2

325 = c^2

18.027 ≈ c

We can use the Pythagorean theorem to solve for the diagonal. The diagonal is the same as the hypotenuse of a triangle.

Pythagorean Theorem: a² + b² = c²

Now, solve for the diagonal.

(10)² + (15)² = c²

100 + 225 = c²

325 = c²

√325 = √c²

18.0277... = c

Round if necessary.

18.0277... = 18.03

Therefore, the diagonal of the rectangle is approximately 18.03cm.

Best of Luck!

Answer:

25m :)

Step-by-step explanation:

Answer:

1.= 2.4 Hours

2.= 8 miles per hour

3.= 150 miles per hour

Step-by-step explanation:

Answer:

16400 in ^2

Step-by-step explanation:

For area, we multiply by the scale factor squared

area 2 = sf^2 * area 1

Since the scale factor is 10,

area 2 = 10^2* 164

           = 100*164

           = 16400

Answer:

16,400 in²

Step-by-step explanation:

Ratio of Areas = (Ratio of sides)²

A/164 = 10²

A/164 = 100

A = 16400

Answer:

1

Step-by-step explanation:

because on how you show for 2 when you want to win have an accurate meaning of an number

Answer: Either spinner

Step-by-step explanation: I hope this makes sense, as I had the same question :)

I  would choose either spinner because there is an equally likely probability to land on a greater number using  either one.  If you join the same numbers together on spinner 1 (all the 1's together, 2's together,  and 3's together), the section they would make would be the same size as that same number section on spinner 2.  

OR (more detailed one)-

The probability of landing on a number greater than your friend on either spinner is equally likely. 1 and 2 on the first spinner are both 3/8 of the spinner and 3 is 2/8 which is the same ratios as the second spinner. The difference is that on spinner #1, the numbers are split up and spread out from each other (ex. 1,2,3,2,3,1), and in spinner #2 all the 1's, 2's, and 3's are together to make bigger looking chunks. The area of each number is the same on both spinners.

Hope this helps!!!! :):):)

Answer:

34.3 meters

Step-by-step explanation:

The generic equation for a movement with constant acceleration is:

S = So + Vo*t + (a*t^2)/2

Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.

If we compare with our equation (where x is the time and f(x) is the final distance), we have that:

So = 34.3

Vo = 29.4

a = -9.8

So we have that the inicial position (So) of the object is 34.3 meters

Answer:

The arc length is 52.

Answer:

1) 65600+13400+29700=108700

to the nearest thousand it will be 108000

2) 1/8+1/4=3/8

3/8-1=5/8

5/8× U=80000

U=80000÷5/8

U=128000

note that U is unknown

Answer:

Our answer is [tex]x=9[/tex]

Step-by-step explanation:

First we will rearrange so we have to divide by 7.

[tex]\frac{x}{3}= \frac{2x+3}{7}[/tex]

Now we will cross multiply.

So...

[tex]x*7 \\3*2x+3[/tex]

Our new equation will look like:

[tex]7x=6x+9[/tex]

Now we have to isolate x.

So we have to subtract 6x from both sides.

[tex]7x-6=1x[/tex]

and

[tex]6x-6x=0[/tex]

Our new equation is:

[tex]1x=9[/tex]

Now divide.

Our answer is [tex]x=9[/tex]

Hope this helped!