A container has 2 ½ cups of juice in it.

Plz help! Detailed explanation, please!! Thank You!

Irina-Kira [14]

Answer:

72

Step-by-step explanation:

since the 4 is a triangle you must divide the 4 by 2 to get 2 then add 2 to 10 to get 12 and multiply 12 by 6 to get 72. Make sense?

6 0

3 years ago

30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now

barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

30 years ago

Zoe was 2/3 as old as Luke

18 years ago

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

30 years ago

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

18 years ago

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

#SPJ1

5 0

1 year ago

The parallelogram is dilated by a scale factor of

devlian [24]

Answer:

(2,1)

Step-by-step explanation:

8 0

3 years ago

Explain how u can decide where to place the first digit of the answer for 6,139 / 153

storchak [24]

Answer:

The first digit would go in the tens place.

Step-by-step explanation:

First we estimate the approximate numbers. For 6130 we estimate 6000 and for 153 we estimate almost 150.

So dividing 6000 by 150 would give 40 .

The four would go in the ten's place .

Now check by dividing

40.1 So the answer is correct. The quotient is 40.12.

$153\sqrt{6139}$

612

190

153

37

The first digit would go in the tens place.

The answer is justified. We can easily decide where to place the first digit.

6 0

4 years ago

Find the equation of the parabola with a focus (2, 5) and directrix of y = 3.

photoshop1234 [79]

Answer:

One form of an equation is given by

y=a(x−h

)

2

+k

y=a(x−h)2+k

where

(h,k)

the coordinates of the vertex and

(h,k+

1

4a

)

The parabola is symmetric with respect to

y=x

and can be viewed as a standard downward parabola with a rotation of 45 degrees clockwise. So, follow the steps below to obtain its equation.

1) The length between the focus and vertex is

f=

4

2

+

4

2

−

√

=4

2

–

√

f=42+42=42

. The standard equation is

y=−

1

4f

x

2

y=−14fx2

.

2) Shift the vertex to (-2, -2),

y+2=−

1

16

2

–

√

(x+2

)

2

y+2=−1162(x+2)2

3) Rotate the equation -45-degrees

x→

1

2

√

(x−y)

x→12(x−y)

,

y→−

1

2

√

(x+y)

y→−12(x+y)

to get

−

1

2

–

√

(x+y)+2=−

1

16

2

–

√

(

1

2

–

√

(x−y)+2)

2

Step-by-step explanation:

8 0

3 years ago