80 pounds to 90 pounds, by what percentage did mr. mathewson increase the amount of weight he lifted?

If you buy tomato sauce for $.90 a quart how much does it cost for 5 pints

Dima020 [189]

<h2>Hello!</h2>

The answer is: the price of 5 pints of tomato sauce is $2.25.

To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following unit relationship:

$0.5Quart=Pints$

Now, calculating how much is a pint:

$\frac{0.9}{quarter}*\frac{0.5Quart}{1Pint}=0.45$

A pint is $0.45.

Then, calculating how much are 5 pints:

$Price=0.45*NoOfPints=0.45*5=2.25$

Hence, the price of 5 pints of tomato sauce is $2.25.

Have a nice day!

8 0

4 years ago

If (8^9)p = 8^16 what's the value of p?

monitta

Answer:

$p = {8}^{7}$

Step-by-step explanation:

$(8^9)p = 8^{16 } \\ \\ p = \frac{8^{16 } }{8^{9 } } \\ \\ p = {8}^{16 - 9} \\ \\ \huge \red{ \boxed{p = {8}^{7} }}$

8 0

3 years ago

Pi/6 is the reference angle for: 3pi/6 5pi/6 13pi/6 8pi/6

Elanso [62]

Answer:

$\frac{5\pi}{6}, \frac{13\pi}{6}$

Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

a)

$\frac{3\pi}{6}=90^\circ$ , then its reference angle is $\frac{\pi}{2}$

b)

$\frac{5\pi}{6}=150^ \circ$ is in the second cuadrant, then its reference angle is $180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}$

c)

$\frac{13\pi}{6}=390^\circ=360^\circ+30^\circ$ , then it is in the first cuadrant and the reference angle is $30^\circ =\frac{\pi}{6}$ .

d)

$\frac{8\pi}{6}=240^\circ$ and it is in the third cuadrant, then its reference angle is $240^\circ -180^\circ=60^\circ=\frac{\pi}{3}$

5 0

4 years ago

WORLD PEACE EVERY WHERE

emmasim [6.3K]

Answer:

yes Amen and we also need Jesus

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

8 0

3 years ago