George bought a broken bicycle. He repaired it and sold it for $85. This was $20 more than twice what he paid for it. His friend, Tom, uses the equation 2x+20=85 to find out the original cost of the bicycle.

Solve for x.

The width of the rectangular frame is 3 1/8 inches.

It should be noted that the area of a rectangular picture frame is 4 3/8 square inches and the length of the frame is 1 2/5 inches.

The area of a rectangle is:

= Length * Width

Therefore, the width will be:

= Area / Length

= 4 3/8 ÷ 1 2/5.

= 4.375 / 1.4

= 3.125 or 3 1/8.

The width is 3 1/8 feet.

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Answer:

w=21

since 3 x 7 = 21

I hope I'm right

Answer:

34°

Step-by-step explanation:

A triangle measures 180°

An isosceles triangle has two angles and sides with equal measurements.

We know that one angle is 112°. Thus, we can use that to form an equation to solve for the unknown values:

112° + x + x = 180°

112° + 2x = 180°

2x = 68

x = 34°

The other two angles each measure 34°.

Check:

112 + 34 + 34 = 180

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

34°

Step-by-step explanation:

Sum of interior angles of a triangle is 180°

Two of the interior angles of an Isosceles triangle are equal

Given one of the interior angles is 112° then the remaining two angle must be equal:

⇒ 112 + 2x = 180

⇒ 2x = 68

⇒ x = 34°

Yes, when multiplying an inequality by a negative, the inequality sign must be flipped.

This is because the negative number changes the direction of the inequality. For example, if the inequality is x > 4, and we multiply both sides by -2, the inequality becomes -2x < -8. The left side is now less than the right side, so the inequality sign must be changed to <. Mathematically, this can be shown as follows:

Let x > 4

Multiply both sides by -2:

-2x > -8

Flip the inequality sign:

-2x < -8

Therefore, when multiplying an inequality by a negative number, the inequality sign must be flipped.

Learn more about inequality here:

https://brainly.com/question/30228778

#SPJ4

Answer:

1.15 is 115%

Step-by-step explanation:

7/8 is 0.875 so it makes it 87.5%

The percentage form of the given number is:

1.15 as a percent is 115%

7/8 as a percent is 187.5%

To convert a decimal to a percent,

we need to multiply it by 100.

So for 1.15,

Multiply it by 100 to get 115%.

To convert a mixed number to a percent,

We have to convert it to an improper fraction first.

To do that, we multiply the denominator by the whole number and add the numerator.

Then we put that answer over the original denominator.

For 7/8, the improper fraction would be,

(8 x 1) + 7 = 15/8.

To convert this to a percentage,

We need to divide the numerator by the denominator and multiply by 100.

So 15/8 as a decimal is 1.875, and when we multiply that by 100 we get 187.5%.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

a. the number of patients in a hospital

A discrete random variable is a variable that can only take on a finite or countably infinite set of distinct values. In this case, the number of patients in a hospital can only be whole numbers (e.g., 0, 1, 2, 3, etc.), which is a countable set of values. Therefore, it is a discrete random variable.

b. the average amount of electricity consumed

The average amount of electricity consumed is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range, and it is not restricted to specific distinct values.

c. the amount of paint used in repainting a building

The amount of paint used in repainting a building can be measured in continuous quantities (e.g., liters or gallons). It is not restricted to specific distinct values, and therefore, it is not a discrete random variable.

d. the average weight of female athletes

Similar to the average amount of electricity consumed, the average weight of female athletes is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range and is not restricted to specific distinct values.

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

To know more about variable follow the link:

https://brainly.com/question/28248724

#SPJ11

The annual maintenance collected in 2014 will be $1,750,000.

To calculate the annual maintenance collected in 2014, we need to find the number of customers who will renew their maintenance contract and the number of customers who will pay for maintenance as a percentage of product sales in 2013.

Number of customers renewing maintenance in 2014 = 80% of $2,000,000 = $1,600,000

Number of customers paying for maintenance in 2014 = 75% of $2,000,000 = $1,500,000

So, the total annual maintenance collected in 2014 will be:

$1,600,000 + $1,500,000*10% = $1,750,000

Therefore, the annual maintenance collected in 2014 will be $1,750,000.

Learn more about calculate

brainly.com/question/30781060

#SPJ11

To simplify the expression (w^4 * z^8) / (w^2 * y^2 * z^4), we can use the rules of exponents to combine like terms and simplify.

First, let's simplify the numerator:

w^4 * z^8

Since we are dividing, we can subtract the exponents:

w^(4 - 2) * z^(8 - 4) = w^2 * z^4

Now, let's simplify the denominator:

w^2 * y^2 * z^4

To divide, we subtract the exponents:

w^(2 - 2) * y^(2 - 2) * z^(4 - 4) = w^0 * y^0 * z^0

Any number (except 0) raised to the power of 0 is equal to 1:

w^0 * y^0 * z^0 = 1 * 1 * 1 = 1

Therefore, the simplified expression is:

(w^4 * z^8) / (w^2 * y^2 * z^4) = w^2 * z^4 / 1 = w^2 * z^4

Know more about rules of exponents, here:

https://brainly.com/question/14513824

#SPJ11

The simplified exponential expression is given as follows:

\(\frac{w^2z^4}{y^2}\)

The exponential expression for this problem is defined as follows:

\(\frac{w^4 \times z^8}{w^2 \times y^2 \times z^4}\)

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents.

Hence the exponent of w is given as follows:

4 - 2 = 2.

The exponent of y is given as follows:

0 - 2 = -2 -> y² in the denominator.

The exponent of z is given as follows

8 - 4 = 4.

Hence the simplified expression is given as follows:

\(\frac{w^2z^4}{y^2}\)

More can be learned about exponent rules at https://brainly.com/question/11975096

#SPJ4

The average rate of change is the slope of the line between the points

     ( -4, f(-4) ) and ( 4, f(4) )

f(-4) = 16 + 40 + 5 = 61

f(4) = 16 - 40 + 5 = 19

The slope (AKA average rate of change) is then

    \(m =\dfrac{19-61}{4-(-4)}=\dfrac{-42}{8} = -\dfrac{21}{4}\)

Answer:

i believe you would have 8 cookies. i feel like this isnt the correct answer and there is some sorta subliminal message in this question

Step-by-step explanation:

The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

To know more about universal joint, refer here:
https://brainly.com/question/30886006
#SPJ11

Answer: c. 5/4x - 2 = 3/2x - 4

Step-by-step explanation:Find the exact value using trigonomectric identities

Answer:

-2

Step-by-step explanation:

4x:3=6:5.

4x/3=6/5

4x × 5=6×3

20 X=18

X=18-20

X=-2

Answer:

575.4 sq inches

Step-by-step explanation:

you can divide this shape into:

13 x 13 square

trapezoid with bases of 13 and 30 with a height of 20

semi-circle with radius of 15

A(square) = 169

A(trapezoid) = 53

A(semi-circle) = 353.4

we can express the simplified form as (32)/(3x).

To simplify the complex fraction (4/x) / (3/8), we can follow these steps:

Step 1: Reciprocal of the denominator:

The reciprocal of (3/8) is (8/3). Therefore, the complex fraction can be written as (4/x) * (8/3).

Step 2: Simplify the numerator and denominator separately:

Multiply the numerators together: 4 * 8 = 32.

Multiply the denominators together: x * 3 = 3x.

Step 3: Simplify the fraction:

The simplified complex fraction is 32/3x.

Therefore, the simplified form of the complex fraction (4/x) / (3/8) is 32/3x. It is important to note that in complex fractions, it is generally preferred to rewrite them as a division of fractions rather than a complex fraction. So, alternatively, we can express the simplified form as (32)/(3x).

Learn more about fraction here

https://brainly.com/question/78672

#SPJ11

Answer:

\( \frac{ {x}^{ - 2} {y}^{ \frac{1}{2} } }{ \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{ {x}^{2} \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{6 {x}^{2}y \sqrt{x} } = \frac{1}{6 {x}^{ \frac{5}{2} } {y}^{ \frac{1}{2} } } = \frac{1}{6} {x}^{ - \frac{5}{2} } {y}^{ - \frac{1}{2} } \)

\( \frac{1}{6} \times - \frac{5}{2} \times - \frac{1}{2} = \frac{5}{24} \)

\(\boxed{\sf S_n=3^n-1}\)

Now

\(\\ \sf\longmapsto S_8=3^8-1\)

\(\\ \sf\longmapsto S_8=6561-1\)

\(\\ \sf\longmapsto S_8=6560\)

Answer:

5 inches

Step-by-step explanation:

Since the length of the sides of a cube are all equal,

volume of cube

= side ×side ×side

= (side)³

125= (length of side)³

Cube root both sides:

Length of each edge

\( = \sqrt[3]{125} \)

= 5 inches

Answer:

5. is not a function

6. is a function

Step-by-step explanation:

The one decreases, the other must increase to maintain the balance.

As the level of significance, α, decreases, the probability of making a Type II​ error, β​, increases. This is because Type I and Type II errors are inversely related. Type I error occurs when we reject a true null hypothesis, while Type II error occurs when we fail to reject a false null hypothesis.

If we decrease the level of significance, α, we are essentially making it more difficult to reject the null hypothesis. This means that we are less likely to make a Type I error, but more likely to make a Type II error.

In other words, as the level of significance, α, decreases, the probability of making a Type II​ error, β​, increases because the sum of α and β always equals 1. So if one decreases, the other must increase to maintain the balance.

Learn more about Increase

brainly.com/question/2285058

#SPJ11

Answer:

$2 for each bottle of mango juice and 3$ for each bag of chips

Step-by-step explanation:

hope it can help you lovelots

Answer:

let x= amount she earn for each delivery

6(16.5) = 11x

99 = 11x

x = 9

$16.5 per hour * 6 hours = $99

11 deliveries * $9 = $99

Step-by-step explanation:

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

Learn more about square roots at:

https://brainly.com/question/428672

#SPJ1

The equation that has infinitely many solutions is -6x + 35 = -6x + 35

An equation that has infinitely many solutions is represented as:

ax + b = ax + b

The above means that both sides of the  equations are the same

From the list of options, we have:

-6x + 35 = -6x + 35

Both sides of the  equations are the same

Hence, the equation that has infinitely many solutions is -6x + 35 = -6x + 35

Read more about equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

Step-by-step explanation:

if we divide 4/9=0.444444444

repeating decimal

Answer:

the anaswer is 4

Step-by-step explanation:

i got it right'

The inradius of the triangle of the given dimensions will be equal to the value 2.

To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.

Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:

inradius = √(s-a)(s-b)(s-c)/s

where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.

Plugging in the values for a, b, c, and s, we get:

inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2

Therefore, the inradius of triangle ABC is 2.

Learn more about semi perimeter at:

brainly.com/question/27976879

#SPJ4