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Sati [7]
3 years ago
6

Solve algebraically for x: -23(x + 12) + 23x = −54x + 2

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

Answer:

x=\frac{139}{27}

Step-by-step explanation:

-23(x+12)+23x=-54x+2

-23x-276+26x=-54+2

-276=-54x+2

54x=2+276

54x=278

x=\frac{139}{27}

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A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as
harina [27]

Formula for the cylinder = V=πr2h

Formula for the cone = 1/3πr²H

Description:

So if the  cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.

Formula:

Vcone = 3Vcone

Vcylinder = 360cm³

Vcone = 1/3 360cm³ = 120cm³

Answer: 120cm³

Hope this helps.

4 0
3 years ago
Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation o
lara [203]
The probability is 0.69.

We find the z-scores that correspond with each end of the range we're looking for.  To find a z-score, we use the formula:
z=\frac{X-\mu}{\sigma}
\\
\\=\frac{350-500}{75}=\frac{-150}{75}=-2

z=\frac{400-500}{75}=\frac{-100}{75}=-1.33

Using a z-table (http://www.z-table.com) we see that the area under the curve left of the score 350 would be 0.228.  The area under the curve left of the score 400 would be 0.918.  To find just the range between 350 and 400, we subtract the area left of 350 from the area left of 400; this will give us just from 350 to 400:

0.918-0.228 = 0.69.
8 0
3 years ago
If a 40,000g cannon ball is 35m above the Earth’s surface, how much potential energy does the cannon ball have?
ELEN [110]

Answer:

Step-by-step explanation:

Remark

You could do this by converting the distance but the much more common way is to use kg and m.

Formula

PE = m * g * h

Givens

m = 40000 grams

m = 40000 grams * 1kg/1000 grams = 40 kg

g = 9.81

h = 35 m

Solution

PE = 40 * 9.81 * 35

PE = 13734 Joules

4 0
3 years ago
Write an explicit formula for an, the nth term of the sequence 11, 20, 29
photoshop1234 [79]
On = 38 - 9n
Step-by-step explanation:
Note the common difference d between
consecutive terms
d= 20 - 29 = 11 - 20 = - 9
This indicates the sequence is arithmetic with n
th term
On
= apt (n - 1)d
where a, is the first term and d the common
difference
Here a, = 29 and d=- 9, thus
An = 29 - 9 (n - 1) = 29 - 9n + 9 = 38 - 9n
7 0
3 years ago
Which pair of points have equal X coordinates?
Varvara68 [4.7K]
Points Q and R. Their coordinates are R=(-5,-7), Q=(-5,6). The first number is the X-intercept. Both Q and R have -5 have -5 as their first number. You can tell this by drawing two line from the x-axis (horizontal) and the y-axis (vertical) and see where they meet up. See what numbers the coordinates are, and presto, you have your answer!
Hope that help!
8 0
3 years ago
Read 2 more answers
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