Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning.

Answer:

I believe it is C

Step-by-step explanation:

First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.

We know that we can cross multiply in a proportion

[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]

0.375x = 24

x = 64

round to tens

60

The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

A proportion is an equation in which two ratios are set equal to each other.

Now, it is given that,

12 such cupcakes requires ⅜ of a cup of cocoa

So ratio, cup of cocoa : cupcakes = ⅜ : 12

⇒  cup of cocoa / cupcakes = ⅜ / 12

Now, let x be  the number of cupcakes that he could make if he has 2 cups of cocoa

So ratio,cups of cocoa : number of cupcakes = 2 : x

Hence,By proportionality we get,

cup of cocoa : cupcakes = cup of cocoa : cupcakes

⅜ : 12 = 2 : x

⅜ / 12 = 2 / x

⇒ 0.375/12 = 2 / x

⇒ x = (2x12)/0.375

⇒ x = 24/0.375

⇒ x = 64

hence it is closest  to the number 60.

So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

More about proportion :

https://brainly.com/question/27960888

#SPJ2

Answer:

The expression is (x + 4) yards where x yards represent the initial amount of yards had by tre team

Step-by-step explanation:

In this question, we are told to write an expression which can be used to describe the total yard gained by the team.

Now, before we can write an expression showing the yard gained by the team, we need a variable that will represent the amount of yard they had initially.

Let us represent this by x yard.

By gaining 12 yards in the first play, total amount of yards now become x + 12 yards

Now in the second play, they lost 8 yards and this translates to (x + 12)-8 = (x + 4) yards

Answer:

Step-by-step explanation:

[tex]\frac{-4d^{2}+15d^{2}}{5}=\frac {11d^{2}}{5}\\\\=\frac{11*1^{2}}{5}\\\\=\frac{11}{5}\\\\=2\frac{1}{5}[/tex]

Answer:addition property of equality, combine like terms, distributive property and division property of equality.

Step-by-step explanation: I took the test

Answer:

x = 2

Step-by-step explanation:

instructions above :)

Answer:

Step-by-step explanation:

2 + 4 > 8

6 > 8

not true

Answer:

[tex](k+9)(k-9)[/tex]

Step-by-step explanation:

[tex]k^2-81[/tex]

[tex]k^2-9^2[/tex]

Apply the difference of squares formula: [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

Thus, [tex]k^2-9^2=\left(k+9\right)\left(k-9\right)[/tex]

Answer:

36 miles per gallon of gas

Step-by-step explanation:

Answer:

36 miles per gallon

Step-by-step explanation:

if she drove 216 miles and used 6 gallons of gas then you would divide 216/6=36. so the answer is 36 miles per gallon

xy = -2

(-3)(2/3) = -2

-2 = -2 TRUE

x + 3y = -1

-3 + 3(2/3) = -1

-3 + 2 = -1

-1 = -1 TRUE

x + z = 4

-3 + z = 4

z = 7 NEITHER

9y = -2x

9(2/3) = -2(-3)

6 = 6 TRUE

y/x = -2

(2/3)/(-3) = -2

-0.22... = -2 FALSE

-2/x / y = -1

-2/-3 / 2/3 = -1

2/3 / 2/3 = -1

1 = -1 FALSE

Best of Luck!

Answer:

A. xy = -2 - true

B. x + 3y = -1 - false doesn't equal -1 it equals -2

C. x + z = 4 - neither because z

D. 9y = -2x - false because it equals  -6

E. y/x = -2 - false because it equals -.2222222

F. -2/x / y = -1  - false it equals positive 1

Answer:

Measure the distance from one endpoint to the other.

Answer:

a line segment is a portion of a straight line which is directly connected to two given points. the given points has coordinate x and y

distance = √(x2-x1)²+(y2-y1)²

example : find distance between two points (2,6) and (3,4) ( find the length of a segment)

d = √(3-2)²+(4-6)

d=√1²+2²

d=√5

Answer:

[tex] {10}^{ - 14} [/tex]

Step-by-step explanation:

[tex] \huge\frac{ {10}^{ - 9} }{ {10}^{5} } \\ \\ \huge = {10}^{ - 9} \times {10}^{ - 5} \\ \\ \huge = {10}^{ - 9 + ( - 5)} \\ \\ \huge = {10}^{ - 9 - 5} \\ \\ \huge \orange {= {10}^{ - 14}} [/tex]

Let s be Jim's Sister's age now

s = 2x

Answer:

On the grid

Step-by-step explanation:

Go 226 spaces to the left of the x axis, when you get there go 216 up on the y axis

Answer:

yz= 100-30

yz= 70.

hope it helps.

Answer:

Common Denominator 10: 5-7/10 and 3/2-4/5

Common Denominator 12: -3/4 + (-2/3) and 7/6 + (-5/12)

Common Denominator 24: 1/8-5/3 and 13/24+7/12

Hopefully This Helps You :)

Answer:

Common Denominator 10:    5-7/10          and              3/2-4/5

Common Denominator 12:    -3/4 + (-2/3)     and     7/6 + (-5/12)

Common Denominator 24:    1/8-5/3        and         13/24+7/12

Step-by-step explanation:

Answer:

y=80x + 100

Step-by-step explanation:

y - 660 = 80(X – 7)

y-660= 80 x - 560

y-660+660= 80 x - 560+660

y= 80x + 100

Answer:

Answer:

y=80x + 100

Step-by-step explanation:

y - 660 = 80(X – 7)

y-660= 80 x - 560

y-660+660= 80 x - 560+660

y= 80x + 100

Step-by-step explanation:

just read it g

x = # of days.

1.5x = 47.075

Divide both sides by 1.5

x = 31.38 days

Answer:

[tex] y = \frac{ - 4}{5} x + 7[/tex]

Answer: $732.25

Step-by-step explanation: I just took the quiz through K12 online school.

Answer: D.$732.25

Step-by-step explanation:

Patti's ending balance was $715.26

On 2/5 (February 5) she did a withdrawal (-) of $140.00

On 2/7 she did a check (-) of $326.15 and a deposit (+) of $483.14

$715.26- $140.00- $326.15+ $483.14= $732.25

Answer:

[tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

[tex]\frac{-10}{12} ,\frac{-5}{6}[/tex]

Step-by-step explanation:

Start with:

[tex]\frac{-2}{3}[/tex] × [tex]\frac{5}{4}[/tex]

Multiply your numerators.

[tex](-2)(5)=-10[/tex]

Now, multiply your denominators.

[tex](3)(4)=12[/tex]

Let's transfer those numbers into a fraction.

[tex]\frac{-10}{12}[/tex]

You may need to simplify.

Divide by the greatest common factor. In this case, that would be [tex]2[/tex].

[tex]-10[/tex] ÷ [tex]2=-5[/tex]

[tex]12[/tex] ÷ [tex]2=6[/tex]

Put those numbers back into the fraction.

[tex]\frac{-5}{6}[/tex]

Answer:

x=-1.68

Step-by-step explanation:

5x + 34 = 2(1 -7x)

5x+34=2-14x

5x+14x=2-34

19x=-32

x=1.68

Answer:

are or rectangle = l*b

252= (x+2) (2x+1)

252= 2x²+x+ 4x +2

2x²+5x -250=0

(x-10) (2x+25)=0

so x=10

using sum and product method

Step-by-step explanation:

Answer:

[tex]d = \sqrt{13}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points:

-Distance Formula:

[tex]d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the two following points onto that equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex](x_{1}, y_{1}) = (5, 3)[/tex]

[tex](x_{2}, y_{2}) = (7, 6)[/tex]

-Solve the equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex]d = \sqrt{2^2 + 3^2}[/tex]

[tex]d = \sqrt{4 + 9}[/tex]

[tex]d = \sqrt{13}[/tex]

So therefore, the distance is [tex]\sqrt{13}[/tex].

Answer:

Hey there!

6x+1+3=8x+1

6x+4=8x+1

6x+3=8x

3=2x

x=1.5

6(1.5)+1

10

SR is 10 units long.

Let me know if this helps :)

Answer:

the answer is 48

Step-by-step explanation:

Answer:

Rational numbers is the correct answer for this.

Step-by-step explanation:

Rational numbers is the best and correct answer.

Answer:

option 4) -18x = 12x-20

Step-by-step explanation:

Answer:

12, 15 would be the next two in that order

Answer:

124, I think

Step-by-step explanation:

you set them equal to each other and solve for x, then substitute in for A. if this is wrong please let me know

Answer:

A- SAS

Step-by-step explanation:

The statements tell you the outer two lines are congruent and the top two angles as well, then through the properties of equality you know the inner line is congruent to itself. That means you have two sides and an included angle making it SAS.