MATHEMATICS HIGH SCHOOL

The area of a rectangle is 51 square inches. If the width of the rectangle is 6 inches, what is the length?19.5 inches
13 inches
9 inches
8.5 inches

Answers

Answer 1
Answer: The length of the rectangle is 8.5 inches.
Answer 2
Answer:

Answer:

8.5 Inches

Step-by-step explanation:

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at a lunch stand, each hamburger has 50 more calories than each order of fries. if 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does a hamburger have?

Answers

The correct answer is 370. A system of equations can be used, where h represents the number of calories in a hamburger and f represents the number of calories in an order of fries. The equation  2 h plus 3 f equals 1,700 represents the fact that 2 hamburgers and 3 orders of fries contain a total of 1700 calories, and the equation  h equals f plus 50 represents the fact that one hamburger contains 50 more calories than an order of fries. Substituting  f plus 50 for h in  2 h plus 3 f equals 1,700 gives  2, parenthesis, f plus 50, close parenthesis, plus 3 f, equals 1,700. This equation can be solved as follows:

 

 2 f plus 100 plus 3 f equals 1,700

 5 f plus 100 equals 1,700

 5 f equals 1,600

 f equals 320



The number of calories in an order of fries is 320, so the number of calories in a hamburger is 50 more than 320, or 370.

Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot, whereas Company B charges a $90 landscaping fee plus $12 per square foot. When will the two companies charge the same amount?

Answers

Let x be the no.of square feet for landscaping

Company A

Monthly consulting fee = $250

Cost of landscaping of 1 sq.feet = $10

Cost of landscaping of x sq.feet = $10x

So, Total charge by company A = 250+10x  ---1

Company B

Monthly consulting fee = $90

Cost of landscaping of 1 sq.feet = $12

Cost of landscaping of x sq.feet = $12x

So, Total charge by company B = 90+12x   ---2

Now we are supposed to find  how many square feet of landscaping will the two companies charge the same amount

So, Equate 1 and 2

250+10x=90+12x\n160=2x\n80=x

So, the two companies charge the same amount for 80 sq.feet

Total charge by company A for 80 sq.feet = 250+10(80)= $1050

Total charge by company B for 80 sq.feet = 90+12(90)=$1170

If V = 12R / (r + R) , then R =

Answers

V=(12R)/(r+R)\n\nV(r+R)=12R\n\nVr+VR=12R\n\nVR-12R=-Vr\n\n(V-12)R=-Vr\ \ \ \ /:(V-12)\neq0\n\nR=(-Vr)/(V-12)\n\nR=(Vr)/(12-V)
vr+vR=12R
vr=12R-vR
vr=R(12-v)
R=vr/12-v

What is 32.697 to the whole number

Answers

So,

We have to round 32.697 to the nearest whole number.

Look at the number to the right of the decimal point.  If the number is greater than or equal to 5, round it up to the next whole number.  If the  number is less than 5, round it down.

32.697 rounded to the nearest whole number is 33.000.
33.00 or 33 is the answer pretty sure

Solve quadratic equation by completing the square
x²+2x-15=0

Answers

x^2+2x-15=0\n\nx^2+2x\cdot1+1^2-1^2=15\n\n(x+1)^2-1=15\n\n(x+1)^2=15+1\n\n(x+1)^2=16\iff x+1=4\ or\ x+1=-4\n\nx=4-1\ or\ x=-4-1\n\n\underline{\underline{x=3\ or\ x=-5}}

Can someone help me it’s geometry :(

Answers

Answer:

Step-by-step explanation:

3) ∠JKN =∠ MKL Vertical angles theorem  - Vertically opposite angles are equal

4) ΔJKN ≅ΔMKL     AAS congruency

5) ∠J ≅ ∠ M    CPCTC

Answer:

The vertical angles theorem

Step-by-step explanation:

The correct answer is the vertical angles theorem, which states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent
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