Felipe and Makayla each tried to solve the same

1 answer:

7 0

Felipe subtract 3x from both side to get rid of x on one side. Ik this isn’t part of the answer but the correct way to do this would be to subtract 2x from each side after adding 8 to each side of the equation

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Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?

dangina [55]

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

2.5 - 0.10y + 0.25y = 4.75

Combine like terms:

2.5 + 0.15y = 4.75

Isolate variable y:

0.15y = 2.25

y = 15

Plug in the value of y into any equation:

x + y = 25

x + 15 = 25

Isolate variable x:

x = 10

7 0

2 years ago

a cake calls for 1 1/2 cups of butter. one tablespoon equals 1/16 cup. How many tablespoons of butter do you need to make the ca

sasho [114]

1/16 cup..........................1 tablespoon
1 1/2= 3/2 cups................x tablespoons

1/16*x=3/2
x= 3/2 : 1/16=3/2*16= 24 tablespoons he needs

4 0

3 years ago

On a unit circle, the terminal point of 0 is (sqrt3/2,1/2) What is 0?

san4es73 [151]

Answer:

The measure of $\theta$ is 30°.

Step-by-step explanation:

In the statement, the angle has been misrepresented. The corrected statement is described below:

"On a unit circle, the terminal point of $\theta$ is $\left(\frac{\sqrt{3}}{2}, \frac{1}{2} \right)$ . What is $\theta$ ?"

The measure of the angle ( $\theta$ ), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form $(x,y)$ is determined by the following inverse trigonometric function: