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adelina 88 [10]
3 years ago
12

Algerabuc equation 3x + 5 = 14

Mathematics
2 answers:
Paraphin [41]3 years ago
7 0

Answer:

3

Step-by-step explanation:

3x=14-5

3x=9

x=3

dexar [7]3 years ago
6 0

Answer: x=3

Step-by-step explanation:

3x + 5 = 14

Subtract 5 from both sides

3x=9

Divide both sides by 3 to get x alone

x=3

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Point C ∈ AB , AB = 30m. Point C is 1.5 times farther from point A than from point B. Find AC and CB.
Shtirlitz [24]

let's say that C is "x" units farther from B, that means that CB = x, and therefore AC = 1.5x.


\bf \underset{\leftarrow ~~30~~\to}{\boxed{A}\stackrel{1.5x}{\rule[0.35em]{18em}{0.25pt}}C\stackrel{x}{\rule[0.35em]{10em}{0.25pt}}\boxed{B}}
\\\\\\
AB=AC+CB\implies \stackrel{AB}{30}=\stackrel{AC}{1.5x}+\stackrel{CB}{x}\implies 30=2.5x
\\\\\\
\cfrac{30}{2.5}=x\implies 12=x
\\\\[-0.35em]
~\dotfill\\\\
AC=1.5(12)\implies AC=18~\hspace{8em} CB=x\implies CB=12

8 0
3 years ago
A rectangular tank measuring 50 cm x 30 cm x 60 cm was completely filled with water. 1 5 of the water in the tank was transferre
Ierofanga [76]

Answer:

<em>72,000cm³</em>

Step-by-step explanation:

Volume of the rectangular tank = Length *  Width * Height

Given

Length = 50cm

Width = 30cm

Height = 60cm

Get the volume:

Volume = 50*30*60

Volume = 90,000cm³

Hence the volume of the rectangular tank is 90,000cm³.

If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:

Amount transferred = 1/5 * 90,000

Amount transferred = 18000cm³

Amount left in the tank = 90,000 - 18,000

<em>Amount of water left in the tank = 72,000cm³</em>

5 0
2 years ago
The slope of (-3,5) (-3,1)
weqwewe [10]

Answer:

undefined

Step-by-step explanation:

The slope of two points is found by

m = (y2-y1)/(x2-x1)

    = (1-5)/ (-3 - -3)

   = -4/(-3+3)

  = -4/0

undefined

6 0
3 years ago
Read 2 more answers
Assuming a linear relationship between x and y, if the coefficient of correlation (r) equals -0.75, this means that:
Gelneren [198K]

Since we are given that the relationship between x and y is linear. Therefore this means that the given equation takes the form of:

y = m x + b

where,

b is the y intercept of the equation

m is the slope of the equation

 

However we should take note that the slope m is directly proportional to the coefficient of correlation. Since our coefficient of correlation is negative, this only means that the value of y is decreasing with increasing x, hence plot of y and x is descending with increasing x. Furthermore, this also tells that for every 1 unit increase of x, there is a 0.75 units decrease of y.

6 0
3 years ago
1. A movie theater designs two bags to hold 96 cubic inches of popcorn. a. Find the height of each bag b. Which bag should the t
MrRissso [65]
I have attached a screenshot with the images of the two popcorn bags used by the theater.

Part (a):
Bag A:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 in
Bag B:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 in

Part (b):
To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3) 
Surface area = 12 + 64 + 48 
Surface area of bag A = 124 in²
Bag B:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4) 
Surface area = 16 + 48 + 48 
Surface area of bag B = 112 in²
From the above calculations, we can deduce that the theater should choose bag B in order to reduce the amount of paper needed.

Hope this helps :)



6 0
3 years ago
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