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denpristay [2]
2 years ago
10

Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her house and her

school. Given FG=2x meters, GH=1,000 meters and FH=1,200 meters. What is the value of x in meters?
Mathematics
1 answer:
SashulF [63]2 years ago
5 0

Answer:

x = 100

Step-by-step explanation:

Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her house and her school. Given FG=2x meters, GH=1,000 meters and FH=1,200 meters. What is the value of x in meters?

FG=2x meters, GH=1,000 meters and FH=1,200 meters.

FH = FG + GH

1200 = 2x + 1000

1200 - 1000 = 2x

200.= 2x

x.= 200/2

x = 100

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2x+(3)(6)=36


Simplify

2x+18=36

Subtract 18 from both sides.

2x+18−18=36−18

2x=18

Divide both sides by 2.

2x/2=18/2

x=9

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3 years ago
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soldi70 [24.7K]
16 2/12 

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3 years ago
Stacy rolls a pair of six-sided fair dice.
insens350 [35]

Answer:

Pr(the sum of the numbers rolled is either a multiple of 3 or an even number)=\frac{2}{3}

Step-by-step explanation:

Let A be the event "sum of numbers is multiple of 3"

and B be the event "sum is an even number".

As our dice has six sides, so the sample space of two dices will be of 36 ordered pairs.

|sample space | = 36

Out of which 11 pairs have the sum multiple of 3 and 18 pairs having sum even.

So Pr(A)= \frac{11}{36}

and Pr(B)= \frac{18}{36}

and Pr(A∩B) = \frac{5}{36}, as 5 pairs are common between A and B.

So now Pr(A or B)= Pr(A∪B)

                            = Pr(A)+Pr(B) - Pr(A∩B)

                            = \frac{11}{36} + \frac{18}{36} - \frac{5}{36}

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3 years ago
Describe the interval(s) on which the function is continuous. (enter your answer using interval notation.)f(x) = xx + 6
Verdich [7]
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6 0
2 years ago
(n + 12) x 5 + 7n Need equivalent expression
astraxan [27]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Distributive Property

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

(n + 12) × 5 + 7n

<u>Step 2: Simplify</u>

  1. Distribute 5:                     5(n) + 5(12) + 7n
  2. Multiply:                            5n + 60 + 7n
  3. Combine like terms:        12n + 60
6 0
3 years ago
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