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hjlf
3 years ago
7

Pam has 228 ounces of lemonade. She pours the lemonade into

Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

4 ounces

Step-by-step explanation:

If you divide 228 by 8, you will get 28.5. The 0.5 into a fraction would be 1/2. Half of 8 would be 4. In the end, there should be 28 full 8-ounce cups and one cup with 4 ounces.

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AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation if BC
sergejj [24]

Answer:

7x+5y-48=0

Step-by-step explanation:

Refer the attached figure .

We are given a line AB

Point A=(x_1,y_1) = (-3,-1)

Point B=(x_2,y_2) = (4,4)

Formula for slope 'm' when two points are given :

m=\frac{y_2-y_1}{x_2-x_1}

Substituting thew values

m=\frac{4-(-1)}{4-(-3)}

m=\frac{5}{7}

Since we are given that AB is perpendicular to BC

So, By property - perpendicular slopes are negative reciprocals of each other.

\Rightarrow m_1\times m_2 =-1

\Rightarrow \frac{5}{7}\times m_2 =-1

\Rightarrow m_2 = \frac{-7}{5}

So, Slope for line BC : m_2 = \frac{-7}{5}

Point B = (4,4)

Formula of equation of line : y-y_1=m(x-x_1)

y-4=\frac{-7}{5}(x-4)

5(y-4)=-7(x-4)

5y-20=-7x+28

7x+5y-20-28=0

7x+5y-48=0

Hence the equation of line BC : 7x+5y-48=0

5 0
3 years ago
write the first six terms of the arithmetic sequence with the first term a1 =90 , and common differnce, d=9​
brilliants [131]
Given a1 = 90
Common difference = adding
90 + 9 = 99, second term
99 + 9 = 108, third term
And keep doing that
You would get
90, 99, 108, 117, 126, 135
8 0
3 years ago
2. An electronics store sold 1,500 CD's this year. The previous year, the store sold 990
Vera_Pavlovna [14]

Answer:

52%

Step-by-step explanation:

First, find the difference between this year's sales and the previous'. 1500-990=510.

Now we can divide 990 by 510 to find the percent increase. 510/990=0.515151515152, or 52%.

8 0
3 years ago
Read 2 more answers
HELPPPP WHATS THE LATERAL AREA
AVprozaik [17]

Answer:

3cm

Step-by-step explanation:

6 0
2 years ago
In triangle UVW , the measure of angle W=90^ , the measure of angle U=31^ °, and UV = 31 feet. Find the length of VW to the near
Basile [38]

Answer:

Step-by-step explanation:

VW, also know as side X (as shown in image) can be found using the sine. Sin(theta)=opposite/hypotenuse. In this case, theta is 31 degrees and the hypotenuse is 31 feet. Plugging in all known values, we would have sin(31)=x/31. Rearrange the equation and isolate X on one side. Then use a calculator to find the answer. Good luck!

8 0
3 years ago
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