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lianna [129]
3 years ago
7

Jackie made 12 quarts of lemonade. Jackie says she made 6 pints of lemonade. Complete the explanation of Jackie's error. Then fi

nd the correct number of pints of lemonade. Jackie divided the number of quarts by 2. There are pints in each quart. She should have 2; so Jackie made pints of lemonade.
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

Answer:

Jackie is incorrect. Since 2 pints equal 1 quart, she would need to multiply 12 by 2 to get the correct answer of 24 pints.

You might be interested in
-5x -x equals 2 + x⁣
kozerog [31]

Answer:

2/5

Step-by-step explanation:

= -5x - x = 2 + x

= -5x - x - x = 2

= x - x - x = -2/5

= -x = -2/5

= x = 2/5

4 0
3 years ago
Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g
Firlakuza [10]

Answers:

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

Given:

Ava graphs the function h(x) = x^2 + 4.

Victor graphs the function g(x) = (x + 4)^2

To find y intercept we plug in 0 for x

h(x) = x^2 + 4

h(x) = 0 + 4= 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function h(x) = x^2 + 4

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function g(x) = (x + 4)^2

If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.


7 0
3 years ago
Read 2 more answers
Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c
Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is Y=\dfrac12 X-6.

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =\dfrac12

Let slope of LG be <em>n</em>, then

n\times \dfrac{1}{2}=-1 [Product of slopes of two perpendicular line =-1]

\Rightarrow n=-2

Equation of a line passes through (a,b) and have slope m is given by :-

(y-b)=m(x-a)

Equation of LG :

(y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9 [In intercept form]

3 0
3 years ago
3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
3 years ago
Read 2 more answers
Short=5 hypotenuse=10 long=
Leviafan [203]
I hope this helps you



10^2=5^2+x^2



100-25= x^2


x= 5 square root of 3
5 0
3 years ago
Read 2 more answers
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