What is -2sqrt20 - sqrt of 125 in simplest radical form?

scoundrel [369]

Answer is 33 remaining chocolate cupcakes and 22 remaining vanilla cupcakes.

3 0

3 years ago

Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre

wlad13 [49]

Answer: No, Cammie is not correct. She can mow $1\frac{1}{5}\ acres$ in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

$1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}$

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow $\frac{1}{2}\ acre$ in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

$\frac{\frac{1}{2}}{25}=\frac{x}{60}$

Solving for "x", you get:

$\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}$

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

$x=1\frac{1}{5}$

Therefore, she can mow $1\frac{1}{5}\ acres$ in one hour.

5 0

3 years ago

The height, h, in meters above the ground, of a projectile at any time, t, in seconds, after the launch is defined by the functi

Ivanshal [37]

The equation $h(t) =-6t^2 + 15t + 2$ sets the parabola. You can find the parabola vertex as:

$t_v= \frac{-b}{2a} =- \frac{15}{2\cdot (-6)} = \frac{15}{12}= \frac{5}{4}=1.25$

then

$h( \frac{5}{4} )=-6\cdot (\frac{5}{4} )^2+15\cdot \frac{5}{4} +2= \frac{91}{8} =11.375$

This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.

The projectile initially launched at time t=0, so the initial height is h(0)=2 m

6 0

3 years ago

Prove (correctly) that if 1 = -1, then 2=1

Nitella [24]

Answer:

This may not be entirely satisfied proof but you should get the idea.

Proof: Start with 1 = -1.

Then we know that if a= b then a + c = b + c and also a / c = b / c.

So we can add 1 to both sides.

We have 1 + 1 = -1 + 1 ⇒ 2 = 0.

Now divide both sides by 2 and we would have 1 = 0.

Now add both sides by 1. This yields 2 = 1.

Therefore if 1 = -1 then 2 = 1.

QED

6 0

3 years ago

Find the x and y intercept of the graph in the equation. EASY 30 POINTS!!!!!

Lena [83]

Answer:

X=4

Step-by-step explanation:

7x+4y=28

7x+4(0)=28

7x=28

X=4

8 0

3 years ago