Rewrite the expression with parentheses to equal the given value of 9+5÷5+2 with the value of 2

Berta is planning a party for her friends. The room rental cost is $50 plus an additional $3 per person to cover food costs. Ber

ss7ja [257]

Answer:

A. 3x+50 ≤ 100; 16 people

Step-by-step explanation:

If x represents the number of people at Berta's party, then the cost of food is 3x. Added to the $50 cost of room rental, the total charge Berta must pay will be ...

3x +50

She wants this to be at most $100, so her inequality is ...

3x +50 ≤ 100

Berta can solve this by subtracting 50, then dividing by 3.

3x ≤ 50

x ≤ 16 2/3

Since x represents a number of <em>people</em>, and it is not possible (or desirable) to have 2/3 of a person show up, the maximum number of people that can attend Berta's party is 16.

4 0

3 years ago

Tim's electricity costs 4.3 ¢ a kilowatt hour. How much will it cost to run the following appliances for 10 hours? (round to the

steposvetlana [31]

Answer:

a Dryer @ 4,000 watts. Cost = 172 cents

a Heater @ 1,500 watts. Cost = 64.5 cents

a Radio @ 40 watts. Cost = 1.72 cents.

Step-by-step explanation:

Given that cost of 1 kilowatt hour = 4.3 cents.

Then cost of 1 kilowatt for 10 hours = 4.3*10 = 43 cents.

4000 watts = 4000/1000 kilowatt = 4 kilowatts

Then cost for running a Dryer for 10 hours = 4*43 = 172 cents.

-----------

1500 watts = 1500/1000 kilowatt = 1.5 kilowatts

Then cost for running a Heater for 10 hours = 1.5*43 = 64.5 cents.

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40 watts = 40/1000 kilowatt = 0.04 kilowatts

Then cost for running a Radio for 10 hours = 0.04*43 = 1.72 cents.

4 0

3 years ago

Read 2 more answers

I will mark brainliest IF CORRECT

umka2103 [35]

Answer:

1 - (π/6) - (√3/4)

Step-by-step explanation:

First, calculate the area of ABCD. That's just $1*1 = 1 un^{2}$

Then, we are told that arcs BD and AC are circular, meaning they are portions of a circle. Therefore, let's redraw this image a little. Look below for the image.

Essentially, what I've done is created an equilateral triangle and two sectors. You may be wondering why the triangle is equilateral. Well, we firstly know it's isosceles because the two original arcs are circular and congruent. Their overlap creates two congruent lines that can be extend from point M to the vertices A and D. These two lines also happen to be radii of the quarter circles because the two sectors have AM AND AD as radii. AM and AD = 1, so AMD is an equilateral triangle.

Draw altitude OD. This is a right angle. Since equilateral triangles are also isosceles triangles, and isosceles triangles have the property of sharing the median to base and altitude to base, we can say that OD = $\frac{1}{2}$ AD = $\frac{1}{2}$ . MD = 1, so this triangle is a 30-60-90 triangle. Why? This is because of the 30º angle converse theorem. The shorter leg is half of the hypotenuse MD, so <OMD is a 30º angle, making <ODM a 60º angle and inevitably <MDC a 30º angle (because <D is a right angle) and <ABM as well because the two sectors are congruent.

Because m<ABM = m<MDC = 30º, these two sectors are 30/360 of the individual circles or 1/12 of the original circles, which have areas of π (because 1^2*π = π). Each is 1/12π, combined they are 1/6π.

The area of the equilateral triangle is √3/8. This is because MO can be calculated, using the 30-60-90 ratios, to be √3/2. (1 * √3/2)/2 = (√3/2)/2 = √3/4; this uses the area of a triangle. Now, time to calculate the shaded area.

The area of the square is 1, the area of the sectors π/6, and the equilateral triangle √3/4. Subtract the equilateral triangle and sectors' areas from the area of the square to be left with the remaining shaded part. 1-(π/6)-(√3/4) is your final answer. To put that a little more cleanly below in the image.

Hope this helps, have a great day.