which expression is equivalent to the expression shown?

Answer: C: 17

Step-by-step explanation:

The quantity of fabrics the machine can produce in 1 hour given the ratio is 60 yards

let

x = quantity of fabrics produced in 1hr

conversion of time

Ratio of fabrics to time taken

6 : 2 = x : 60 minutes

6/2 = x / 60

6 × 60 = 2 × x

120 = 2x

x = 120/2

x = 60 yards

Therefore, the quantity of fabrics the machine can produce in 1 hour given the ratio is 60 yards

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Hear hear! For I have brought you the correct answer... (I took a "snip" of it so you can't see the entire graph but you can see the whole answer.)

By plotting the lines 2x - y = 4 and x - y = -2 using a graphing tool or on graph paper.

To graph these lines, you can start by rearranging them into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

For 2x - y = 4:

-y = -2x + 4

y = 2x - 4

This equation has a slope of 2 and a y-intercept of -4.

For x - y = -2:

-y = -x - 2

y = x + 2

This equation has a slope of 1 and a y-intercept of 2.

Now, you can graph these lines on a coordinate plane by plotting the y-intercepts and using the slopes to find additional points.

Once you have the two lines graphed, their point of intersection represents the solution to the system of equations.

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The answer is A) .85 inches

Step-by-step explanation:

A =  

1 /2 πr2 4.5 =  1 2 πr2  1.6926 = r

  thus, 0.50 in  

1 ft  =  x in 1.6926 ft x = 0.8463

Final answer:

To find the radius of the bay window on the floor plan, calculate the radius of the actual bay window first, apply the scale factor, resulting in a radius of 3.4 inches that is option D is correct.

Explanation:

To find the radius of the bay window on the floor plan, you need to calculate the radius of the actual bay window first. Given the area of the bay window as 4.5 square feet in a semicircle shape, you can use the formula for the area of a semicircle, A = 1/2 * π * r².

Once you find the actual radius, you can then convert it to the scale of 0.5 inch = 1 ft to determine the radius on the floor plan. Remember, the scale factor is the ratio of a length on the drawing to the actual length it represents.

After the calculation, the radius of the bay window on the floor plan is 3.4 inches (Option D).

Final answer:

Choose the best units of measurement for a variety of items based on benchmarks and size considerations.

Explanation:

When considering the size of a bathtub, the best unit for measuring capacity would be liters.

To choose the best unit of measurement for each item:

The volume of a water balloon: Milliliters

The length of a basketball court: Yards

The weight of an apple: Ounces or grams

The volume of a milk carton: Cubic centimeters

For the height of a light switch, the appropriate unit would be inches.

For the width of a refrigerator, the appropriate unit would be feet.

Answer:

The measure of AC is 41°

Step-by-step explanation:

Given : ∠ABC = (4x-3.5)°

            Arc AC = (4x+17)°

An inscribed angle: An angle with its vertex on the circle and whose sides are chords.

The intercepted arc : The arc that is inside the inscribed angle and whose endpoints are on the angle.

The Inscribed Angle Theorem : The measure of an inscribed angle is half the measure of its intercepted arc.

Uisng the theorem

[tex]\angle{ABC}=\frac{1}{2} \text{arc(AC)}[/tex]

[tex](4x-3.5)^{\circ}=\frac{1}{2} (4x+17)^{\circ}[/tex]

[tex]2*(4x-3.5)^{\circ}= (4x+17)^{\circ}[/tex]

[tex]8x-7= 4x+17[/tex]

[tex]4x=24[/tex]

[tex]x=\frac{24}{4}[/tex]

[tex]x=6[/tex]

So, Arc AC = (4x+17)° = (4*6+17)° = (24+17)° = 41°

Hence the measure of AC is 41°

Since she only needs to make the same amount of money, if she works for 4 times as many weeks, she can work 4 times fewer hours per week, meaning she can work 1/4*48= 12 hours per week.

During the academic year, Julie needs to put in about 12 hours per week of work to earn an additional $5,000 at the same rate of compensation.

To find out how many hours per week Julie must work during the school year to make another $5000,

set up a proportion using the information we already have.

Let's use the ratio of her earnings to the number of hours worked to create the proportion.

During the summer:

Earnings = $5000

Hours worked = 48 hours/week

Weeks worked = 12 weeks

Summer rate of pay = Earnings / (Hours worked × Weeks worked)

Summer rate of pay = $5000 / (48 hours/week × 12 weeks)

Summer rate of pay = $5000 / 576 hours

Summer rate of pay ≈ $8.68 per hour (rounded to two decimal places)

Now, during the school year, she needs to make another $5000.

So, set up the proportion:

School year earnings = $5000

School year rate of pay = $8.68 per hour (same as the summer rate)

School year rate of pay = School year earnings / (Hours worked × Weeks worked)

$8.68 per hour = $5000 / (Hours worked × 48 weeks)

Now, solve for the number of hours worked per week during the school year:

Hours worked × 48 weeks = $5000 / $8.68 per hour

Hours worked × 48 weeks = 576.036

Hours worked ≈ 12 hours per week (rounded to the nearest whole number)

Therefore, Julie must work approximately 12 hours per week during the school year to make another $5000 at the same rate of pay.

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Answer:

The correct answer is $1091227

Answer:

cos 41°

Step-by-step explanation:

this is the correct answer, not the one above.

if entered on the calculator (texas instruments TI-30X2S)

sin (49)= 0.75470958

2nd → cos → 2nd → (-)

which would look like this→ cos-1(0.75470958)

answer= cos 41

we are given

[tex] p=v*i [/tex]

Since, we have to solve for i

so, we will isolate i on anyone side

we can divide both sides by v

[tex] \frac{p}{v}= \frac{vi}{v} [/tex]

[tex] \frac{p}{v}= i [/tex]

[tex] i=\frac{p}{v} [/tex]..............Answer

Answer:

p/v=I

Step-by-step explanation:

hope i helped. :} its also on edge