How can unit rates and proportional reasoning be used to solve problems?

Answer:

Domain of the relation is Option (c) : {−4.5, −3, 0.9, 4, 17}

Step-by-step explanation:

He grew 65cm a year??? Omg

I think it is

65cm x 4(years)= 260cm

150.25 + 260= 410.25cm

So, when he was 15 years old he was 410.25cm tall

Answer:

x=15

Step-by-step explanation:

5x+(180-9x)+(180-8x)=180

total of a triangle angles is 180

Answer:

15°

Step-by-step explanation:

Step 1:

180° - 8x + 5x + 180° - 9x = 180°    Sum of Triangle

Step 2:

360° - 12x = 180°     Algerbra

Step 3:

- 12x = 180°      Algerbra

Step 4:

12x = 180° Algerbra

Answer:

x = 15°

Hope This Helps :)

Answer: -3/4

Step-by-step explanation: I'M SMART

Answer: 3^4, 7^2

Step-by-step explanation:

3 times itself 4 times! Seven times itself 2 times

Step-by-step explanation:

2.370.

One cubic foot equals 1728 cubic inches. So, to convert from cubic inches to cubic feet you should divide your cubic inches figure by 1728.

I hope it helps!

Answer:

2x-15

Step-by-step explanation:

2x-15

Answer:

[tex]\frac{965777}{55555}[/tex]

Step-by-step explanation:

The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)

Answer:

Well where are the options for the graphs?

Answer:

i think the answer you're looking for is 60

Step-by-step explanation:

24-9=15

45+15=60

Answer:

Andrew's test score if he got 8 questions wrong = 64 points

Andrew's test score if he got x questions wrong = 80 - 2x

Step-by-step explanation:

Total points of the multiple choice test = 80

Each question = 2 points

Total questions = Total points of the multiple choice test / 2 points

= 80/2

= 40

Total questions = 40

A. What would be Andrew's test score (out of 80) if he got 8 questions wrong

If he got 8 questions wrong out of 40 questions

= Total question points - wrong question points

= 40*2 - 8*2

= 80 - 16

= 64 points

Andrew's test score if he got 8 questions wrong = 64 points

B. What would be his score if he got x questions wrong?

Test points if he got x questions wrong = Total question points - wrong question points

= (40 * 2) - (x * 2)

= 80 - 2x

Andrew's test score if he got x questions wrong = 80 - 2x

Answer:

5 people

Step-by-step explanation:

Let's find LCM of 4, 10 and 20:

LCM(4,10,20) =2*2*5 =  20

There are 100/20 = 5 twenties in 100

So every 20th person will get all 3 prizes, in total 5 people

Answer:

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Step-by-step explanation:

Let

Width = 17 × width

Length = 8 × length

8l = 17w

l = 17w/8

Perimeter of a rectangular yard = 2(length + width)

400 = 2(17w/8 + w)

400 = 34w/8 + 2w

400 = 17/4w + 2w

400 = 17w+8w/4

400 = 25w/4

Cross product

1600 = 25w

Divide both sides by 25

w = 1600/25

= 64 feet

Recall,

l = 17w/8

= 17*64 / 8

= 1088/8

= 136 feet

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Answer:

  they are not inverses

Step-by-step explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions  are not inverses.

_____

The same would be true if your functions were

  f(x) = 1/(x+3) and g(x) = 4/(x+2)

  f(1) = 1/(1+3) = 1/4

  g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1

Answer:

[tex]y = \frac{1}{2} x - 8[/tex]

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

Using the gradient formula above,

[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]

Substitute the value of m into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

-6= ½(4) +c

-6= 2 +c

c= -6 -2 (-2 on both sides)

c= -8 (simplify)

Thus, the equation of the line is y= ½x -8.

Answer:

1st one: -24a-6b-36c

2nd one: 14mn-12m

Step-by-step explanation:

1st one: Multiply '-6' w/ '4a', 'b', and '6c'

2nd one: Multiply '2m' w/ '7n' and '-6'

Answer:3200

Step-by-step explanation:

answer: when you take 5280 feet times two (2 miles) and then divide by three you get 3,520 feet

Answer:

The parts are 27 cm and 64 cm long.

Step-by-step explanation:

Let the shorter part be x.

"The longer part is 10 cm more than twice as long as the shorter part."

shorter part: x

longer part: 2x + 10

total length: x + 2x + 10

total length: 91

x + 2x + 10 = 91

3x + 10 = 91

3x = 81

x = 27

2x + 10 = 2(27) + 10 = 54 + 10 = 64

Answer: The parts are 27 cm and 64 cm long.

Answer:

  3 hours

Step-by-step explanation:

Let k represent Kyle's balance after h hours. Let s represent Sophia's balance after h hours. Then we have ...

  k = 25 +2h

  s = 4 +9h

We want to find h so that k=s:

  25 +2h = 4 +9h

  21 = 7h . . . . . subtract 4+2h

  3 = h . . . . . . . divide by 7

If both work 3 hours, they will have the same amount of money.

Answer:11.5

Step-by-step explanation:I’ve done this in a test before and that is the correct AnSwEr

[tex]\text {Hello! Let's Solve this Equation!}[/tex]

[tex]\text {In order to Simplify this Equation you must subtract}[/tex] [tex]\text { it with the same match as it. Let me show what I mean.}[/tex]

[tex]\text {\underline {Subtract}}[/tex]

[tex]\text {10x-9x=1x=x}[/tex]

[tex]\text {\underline {Add}}[/tex]

[tex]\text {4+5=9}[/tex]

[tex]\text {Your Answer would be:}[/tex]

[tex]\fbox{x+9}[/tex]

[tex]\text {Best of Luck!}[/tex]

Hey there!☺

[tex]Answer:\boxed{x+9}[/tex]

[tex]Explanation:[/tex]

[tex]4+10x+5-9x[/tex]

Let's simplify.

[tex]4+10x+5+-9x[/tex]

Now let's combine like terms.

[tex](10x+-9x)+(4+5)[/tex]

[tex]x+9[/tex]

Hope this helps!

Answer:

-1,-1

Step-by-step explanation:

it is the midpint (-1,-1)

Answer:

( -1 , -1 )

Step-by-step explanation:

( -8 + 6 / 2 ) , ( 7 + -9 / 2)

( -2 / 2) , ( -2 / 2)

( -1 , -1 )

Answer:

2/3

Step-by-step explanation:

Complete question :

Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks

Answer:

(11 + w ) / 4

Step-by-step explanation:

Given the following :

Initial miles kane plans to cover per session = 3 miles

Increase in miles covered per session = 1/4 mile per week

Hence, distance covered after w weeks :

Using the sum of an arithmetic progression formula:

Tn = a + (n - 1) d

a = first term = Initial / starting distance = 3 miles

n = nth term = number of weeks = w

d = common difference = constant increase in distance per week = 1/4

Hence, after w weeks :

= 3 + (w - 1) × 1/4

= 3 + (w/4 - 1/4)

= 3 + (w - 1) / 4

Taking L. C. M

(12 + w - 1) / 4

(11 + w ) / 4

The expression that shows the distance Kane runs in a training session after w weeks will be; (11 + w ) / 4

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that the Initial miles kane plans to cover per session = 3 miles

The Increase in miles covered per session = 1/4 mile per week

Using the sum of an arithmetic progression formula to calculate the distance covered after w weeks

Tn = a + (n - 1) d

a = first term = 3 miles

n = nth term = number of weeks = w

d = common difference = the constant increase in distance per week = 1/4

Hence, after w weeks,

= 3 + (w - 1) × 1/4

= 3 + (w/4 - 1/4)

= 3 + (w - 1) / 4

= (12 + w - 1) / 4

= (11 + w ) / 4

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Complete question :

Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the distance kane runs in a training session after w weeks.

Answer:

no To multiply three factors, we first multiply two of the factors together. Then we multiply the product we get by the third factor. Since multiplication is commutative, we may multiply numbers in any order.