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VashaNatasha [74]
3 years ago
8

Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 1

/2 cup servings of punch can they make?
Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0
16 1/2 cup servings if they are putting the grape juice and the lemonade together then that adds up to be 8 and then you have to fine how many 1/2 cups you can get out of 8 which is going to be twice as much so it's 16
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Which term of the sequence -3, 2, 7,.... would give you 117?
Ne4ueva [31]

Answer:

25th

Step-by-step explanation:

3 0
2 years ago
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Write the slope-intercept form of the equation of each line.
gregori [183]

Greetings!

Answer:

2y = x - 6

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -2x, the slope of this line is -2

When finding the slope of a line perpendicular, you need to find the \frac{-1}{slope}

So, in this case it is:

\frac{-1}{-2}

The negatives cancel out which leave \frac{1}{2}

So the gradient is \frac{1}{2}


Now, to find the equation of a line, you need to use:

y - y1 = m(x - x1)

Where ya and x1 are the values in the coordinates (2 , -2)

So y1  = -2, x1 = 2, and m is a half. Plug these values in:

y - - 2 = \frac{1}{2}(x - 2)

We need to get rid of the half so we multiply the whole equation by 2:

2y - - 4 = (x - 2)

The minus and the negative turn into a positive:

2y + 4 = x - 2

And now simply move the +4 over to the other side, making it a negative:

2y =  -2 - 4 + x

Simplify:

2y = x - 6

<h3>So the equation of the line is 2y = x - 6</h3>
<h2>Hope this helps!</h2>
5 0
3 years ago
-
dangina [55]

Answer:

(x-3)^2  =21

Step-by-step explanation:

~~~~~~~x^2-6x-12=0\\\\\implies x^2 -6x +9-21=0 \\\\\implies x^2 -2\cdot x \cdot  3 +3^2=21\\\\\implies (x-3)^2  =21

3 0
3 years ago
What is the measure of Arc NM?
kakasveta [241]

Answer:

  a:  55°

Step-by-step explanation:

The measure of arc NM is the same as the measure of the central angle that intercepts it: Q. The sum of the central angles of a circle is 360°, so ...

  Q = 360° -120° -60° -65° -60° = 55°

The measure of arc NM is 55°.

7 0
3 years ago
Help is for today!!!<br>Ayuda es para hoy.!!<br>​
lorasvet [3.4K]

Answer:

x=20 degrees

Step-by-step explanation:

So, lets recall some things.

First off, opposite angles are the same.

So this would make x equal 20.

But lets test this.

When you look at a X, or any other sort of two lines that cross each other, can you ever think of a time when one side is not the same as the other? No.

This is because when you change one angle, since the lines are crossed together, it will change the opposite angle. This change will always be constant as long as the two lines connect at the same point

So if you changed a 10 degree angle of two lines, so that it was 30, this would change for the other line.

I attached a image below.

I hope this explains this to you and helps! :D

==================================================================

Respuesta:

x = 20 grados

Explicación paso a paso:

Entonces, recordemos algunas cosas.

En primer lugar, los ángulos opuestos son iguales.

Entonces esto haría que x sea igual a 20.

Pero probemos esto.

Cuando miras una X, o cualquier otro tipo de dos líneas que se cruzan, ¿puedes pensar alguna vez en un momento en el que un lado no sea igual que el otro? No.

Esto se debe a que cuando cambia un ángulo, dado que las líneas se cruzan, cambiará el ángulo opuesto. Este cambio siempre será constante siempre que las dos líneas se conecten en el mismo punto

Entonces, si cambia un ángulo de 10 grados de dos líneas, de modo que sea 30, esto cambiaría para la otra línea.

Adjunto una imagen a continuación.

¡Espero que esto te explique esto y te ayude! :D

4 0
3 years ago
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