MATHEMATICS MIDDLE SCHOOL

HOW can you use bar diagrams to compare quantities in real-world situations

Answers

Answer 1
Answer: An example would be money! Money is a real life situation

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Factor the following quadratics completely

Answers

The fully factored form of the quadratic is (2r - 7)(r + 6).

2r^2 + 5r - 42

Check if splitting the middle term is possible.

List factors of -84

1 * -84

-1 * 84

2 * -42

-2 * 42

3 * -28

-3 * 28

4 * -21

-4 * 21

6 * -14

-6 * 14

7 * -12

-7 * 12 (these digits satisfy the criteria.)

Split the middle term.

2r^2 + 12r - 7r - 42

Factor by grouping.

2r(r + 6) - 7(r + 6)

Rearrange.

(2r - 7)(r + 6)

What is the vertex of the parabola graphed below?

Answers

Answer:

(3,2)

Step-by-step explanation:

The vertex is the highest, or lowest, point of the parabola.

Answer:

(3,2)

Step-by-step explanation:

The vertex is the highest or lowest point of the parabola.

11 billion in scientific notation

Answers

11 billion is 11,000,000,000 in standard form.

Its scientific notation is:
1.1 x 10¹⁰

In writing a scientific notation, there must only be 1 digit before the decimal number.

1.1 is the coefficient of the scientific notation
10 is the base
¹⁰ is the exponent, It is a positive exponent. This means that the decimal point moved from the right of the number to its left.
1 billion+1 Billion+ 1 Billion+ 1 Billion+ 1 billion+ 1 billion+ 1 billion+ 1 billion+ 1 billion+ 1 billion+ 1 billion= 11 billion

Is 96 fl oz greater than 8 pt

Answers

Yes. 96 FL Oz is greater than 8 pt
no there are 16 cups in a punt and 16×8=128

10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the house and drove the sameroute as her father, but at an average speed of 48 mph. How far from homewere they when Miranda overtook her father?

Answers

Speed=distance / time  ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance  traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours=  80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt    ⇒d=80+40t      (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t      ⇒d=48t       (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
t=80/8=10

d=48t
d=48*10=480

Answer: the thistance will be 480 miles.

What is the value of each digit in this number 58

Answers

the value of the 5 in 58 is 50
the value of the 8 in 58 is 8
50 + 8 = 58
5 is in the tens place so it would be 50 then you have the 8 which is in the ones place which would just be 8 ones
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