1.1f Homework: Creating and Solving Linear Equations to Model Real World Problems Part I
he document will
1) Use the story below about Sanjeet and his friends' end-of-season basketball statistics to answer the
questions that follow.
Story
Points Scored
Terrence's points:
Sanjeet and his teanit members were looking
Sanjeet's points:
Cole's points:
at the total points scored by each player
during the season. Sanjeet scored twice ay
many pointy ay Terrence. Cole scored 12
more points than Sanjeet. Together the boys
scored 992 points during the season. How
many points did each boy score?
Equation:

Answer:

4

Step-by-step explanation:

just subtract 4.5 from 8.5

A fraction is a way to describe a part of a whole. The distance between 8 1/2 and 4 1/2 is 13 feet.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2 = (2×2 + 1)/2

= 5/2

= 2.5

Now, the distance between them

Distance = (8 1/2) feet + (4 1/2) feet

Converting Mixed fractions to fractions,

(8×2 + 1)/2  +  (4×2 + 1)/2

= 17/2 + 9/2

= (17+9)/2

= 26/2

= 13 feets

Hence, the distance between 8 1/2 and 4 1/2 is 13 feet.

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The dimensions of this rectangle are 4 units by 3 units

4 units * 3 units = 12 sq units

Answer:

7/8

Step-by-step explanation:

Given the length of the actual movie time and the length of the total movie time, the actual movie is 7/8 of the total movie time.

Given the data in the question;

Total time of the movie is 2 hours and 40 minutes = 160 minutes

Preview time is 20 minutes

Now time of the actual movie will be;

Total time of the movie - Preview time

2 hours and 40 minutes - 20 minutes

160 minutes - 20 minutes

Time of the actual movie is 140 minutes

Now we get the fraction

Time of the actual movie / Total time of the movie

= 140 minutes / 160 minutes

= 14/16

= 7/8

Therefore, given the length of the actual movie time and the length of the total movie time, the actual movie is 7/8 of the total movie time.

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Answer:

Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle. An angle is also the space between the sides.

Step-by-step explanation:

Answer:

Susie rounded to the nearest thousandth.

Step-by-step explanation:

since the 100th place is 0 it would round down to 39,000 when you are rounding to the nearest thousand.

Answer: g = 90

Step-by-step explanation:

Answer:

1/4(90)

Step-by-step explanation:

The most reasonable way to estimate 26% of 88 is one-fourth of 90. Therefore, the correct option is C.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 26% of 88.

Now, 26/100 ×88

= 0.26×88

= 22.88

A) 1/5 ×90

= 18

B) 1/5 ×80

= 16

C) 1/4 ×90

= 22.5

D) 1/4 ×80

= 20

Therefore, option C is the correct answer.

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Answer:

r = 7

Step-by-step explanation:

Step 1: Write out equation

4r + 7 = 35

Step 2: Subtract 7 on both sides

4r + 7 - 7 = 35 - 7

4r = 28

Step 3: Divide both sides by 4

4r/4 = 28/4

r = 7

Solve 4r+7=35

4r=35-7

4r=28

r=7

:)

Answer:

3

1

4

-2

Step-by-step explanation:

imma math mannnnn

Answer:

[tex]\huge\boxed{x=12}[/tex]

Step-by-step explanation:

If B is the midpoint of line AC, we know that lines AB and BC will be equivalent to each other.

Since we know the measures of AB and BC, we can just set these expressions equal to each other and find the value of [tex]x[/tex].

[tex]6x - 27 = 3(x+3)[/tex]

Let's simplify this equation until we have [tex]x[/tex] on one side of it.

[tex]6x-27=3x+9\\\\6x=3x+36\\\\3x=36\\\\x=12[/tex]

Hope this helped!

The number 4.5x10⁻⁶ can be expressed in standard notation as decimal 0.0000045.

In scientific notation, numbers are expressed as a decimal number between 1 and 10 multiplied by a power of 10. In this case, 4.5 is the decimal number and 10⁻⁶ represents the power of 10.

To convert this to standard notation, we move the decimal point six places to the left to match the negative exponent of 10⁻⁶. This gives us:

0.0000045

In standard notation, this number is written as 0.0000045, where the zeros after the decimal point indicate the value of the number in the place of each digit. The last non-zero digit in this case is 5, which is in the sixth decimal place.

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The complete question:

What is 4.5x10⁻⁶ in standard notation?

Answer:

mode = maximum repeated item

here mode = 4.2

Answer:

S = 14.14

Step-by-step explanation:

The area of a square is S*S or S^2.

So, if we know that the area of the square patio is 200, we can say that

S^2 = 200.

S = sqrt(200)

S = 14.14 ft.

Answer: False

Step-by-step explanation: First, you are going to multiply the numbers in the first set of parenthesis, getting 72. Now, have 72 take the place of 12x6 in the equation. Your new equation looks like this: 0.3 x 72 = 0.4(12-3).

Going off of step one, you will be doing the same thing with the second set, but you will be subtracting instead. You will get 9, and plug it place of the parenthesis. Your equation now looks like o.3 x 72 = 0.4 x 9.

Next, you will multiply the set of numbers on the left side of the equal sign, getting 21.6. You now have an equation of 21.6 = 0.4 x 9.

Going off of step 3, you are going to do the exact same thing we did in step 3. Multiply 0.4 and 9, and you will get 3.6. The equation now looks like 21.6 = 3.6.

Now, the inequality is false because the left-hand side and right-hand side are two completely different numbers. A bigger number cannot be equal to a smaller number.

Hope this helps!

Answer:

[tex]MP= (-6,3)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{6+-6}{2} )(\frac{12+-6}{2} )\\MP= (\frac{-12}{2} )(\frac{6}{2} )\\MP= (-6,3)[/tex]

Answer:

1111111111111111

Step-by-step explanation:

222222222222

Answer:

5/4

Step-by-step explanation:

(y₂ - y₁) / (x₂ - x₁)

(4,9) (-8, -6)

plug in

(-6 - 9) / (-8 - 4)

solve within parentheses

-15/-12

simplify

5/4

what is the slope of points (4,9) (-8,-6)

Answer:

5/4

Answer:

Step-by-step explanation:

The distance between a point (x,y) and the point (-3,4) is

d1= [tex]\sqrt{ (x+3)2+(y-4)2}[/tex] .

The distance between a point (x,y) and the point (0,0) is

d2= [tex]\sqrt{x2+y2}[/tex] .

You know what y is from the equation of the line, so substitute that, set d1=d2, and solve for x.

The coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4) is (-33/18, 39/6)

The distance formula is expressed as:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex]

For the coordinate point (x,y) to (-3, 4), the distance is expressed as:

[tex]D_1 = \sqrt{(x+3)^2+(y-4)^2}\\[/tex]

For the coordinate point (x,y) to (0, 0), the distance is expressed as:

[tex]D_2=\sqrt{(x-0)^2+(y-0)^2}\\D_2 = \sqrt{x^2+y^2}[/tex]

Since the distance are equidistant, then D1 = D2

[tex]\sqrt{(x+3)^2+(y-4)^2} = \sqrt{x^2+y^2}\\ (x+3)^2+(y-4)^2 = x^2+y^2\\x^2+6x+9+y^2-8y+16 = x^2+y^2\\6x+9-8y+16=0\\6x-8y+25=0[/tex]

Substitute y = 3x+1 and get x

6x - 8y + 25 = 0

6x-8(3x+1) - 25 = 0

6x -24x-8-25=0

-18x-33 = 0

-18x = 33

x =-33/18

Sincey= 3x + 1

y = 3(33/18) + 1

y = 33/6 + 1

y = 39/6

Hence the required coordinates is (-33/18, 39/6)

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you calculate for the LCM of the denominator

9

7

6

5

which Thier Lcm is 630

Answer:

9,000,000

Step-by-step explanation:

Since the 5 next to the 8 is a number with a value of 5 or higher, you can round the 8 up to a 9 thus rounding to the nearest million.

Answer:

Rational

Step-by-step explanation:

The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.

Answer:

3m=18+12

3m=30

divide both sides by 3

m=10

Answer:

m = 10

Step-by-step explanation:

3m - 12 =18

Add 12 to each side

3m - 12+12 =18+12

3m = 30

Divide by 3

3m/3 = 30/3

m = 10

Answer:

Step-by-step explanation:

(5x + 4)(x^2 - 7x + 12)

5x^3 - 35x^2 + 60x + 4x^2 - 28x + 48

5x^3 - 31x^2 + 32x + 48

Answer:

Step-by-step explanation:

[tex]\frac{3}{2} + \frac{2m}{9} = \frac{37}{18}[/tex]

Multiply through by 18 to eliminate the fraction

That's

[tex]18 \times \frac{3}{2} + 18 \times \frac{2m}{9} = 18 \times \frac{37}{18} \\ 27 + 4m = 37[/tex]

Subtract 27 from both sides

That's

[tex]27 - 27 + 4m = 37 - 27 \\ 4m = 10[/tex]

Divide both sides by 4

That's

[tex] \frac{4m}{4} = \frac{10}{4} [/tex]

We have the final answer as

[tex]m = \frac{5}{2} [/tex]

Hope this helps you

[tex]\Huge{\boxed{\sf{\red{m = \frac{5}{2}}}}}[/tex]

[tex]\displaystyle{\sf{ \frac{3}{2} + \frac{2m}{9} = \frac{37}{18}}} [/tex]

| ∵ Transposing 3/2 to R.H.S

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{37}{18} - \frac{3}{2}}} [/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{37-27}{18}}} [/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{10}{18} = \frac{5}{9}}} [/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ 2m = \frac{5}{9} \times 9}} [/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ 2m = 5}} [/tex]

[tex]\longrightarrow[/tex] [tex]\large{\boxed{\sf{\red{ m = \frac{5}{2}}}}}[/tex]