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Mama L [17]
3 years ago
14

Hellp plz....please explain so I can learn ​

Mathematics
2 answers:
ElenaW [278]3 years ago
5 0
The answer is b. 32%
steps:
Step 1. we make the assumption that 326 is 100% since it is our output value

Step 2. we next represent the value we seek with x

Step 3. from step 1, it follows that 100% =326

Step 4. in the same vein, x% = 104

Step 5. this gives us a pair of simple equations:
100% = 326(1)
x% = 104(2)

Step 6. by simplifying dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) if both equations have the same unit (%); we have
100% / x% = 326/ 104

Step 7. taking the inverse (or reciprocal) of both sides yields
x% / 100% = 104 / 326
—> x = 31.9% or if you round it up 32%
therefore, 104 is 31.9% of 326

hopefully this helped! if you have any other questions like this one ill be happy to answer them for you :)
Ulleksa [173]3 years ago
3 0

Answer:

The answer is B 32%

Step-by-step explanation:

104/325 = 0.32 then move the decimal to the right twice to make it a percentage.

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If 3,x,y,18 are in arithmetric progression , find the value of x and y
Ksivusya [100]
Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18

Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term

First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5

Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8

y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13

The value of x is 8, the value of y is 13
6 0
3 years ago
A pyramid-shaped vat has square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 5
Strike441 [17]

Answer:

the water level increases at a rate of 1.718 m/min when the depth is 4 m

Step-by-step explanation:

the volume of the pyramid is

V = (1/3)(height)(area of base) = 1/3 H*L²

For the diagonal in the pyramid

tg Ф = Side Length/ Height = L / H = x / h

where h= depth of water , x= side of the corresponding cross section

therefore x= L *h/H

the volume of the water is

v= 1/3 h*x² = 1/3 (L/H)² h³

in terms of time

v = Q*t

then

Q*t = 1/3 (L/H)² h³

h³ = 3*(H/L)² *Q *t

h = ∛(3*(H/L)² *Q *t) = ∛(3*(H/L)² *Q) *∛t = k* ∛t , where k=∛(3*(H/L)² *Q)

h = k* ∛t

then the rate of increase in depth is dh/dt

dh/dt = 1/3*k* t^(-2/3)

since

t = (h/k)³

dh/dt = 1/3*k* t^(-2/3) = 1/3*k* (h/k)³ ^(-2/3)  = 1/3*k* (h/k)^(-2) = 1/3 k³ / h²

=  1/3 (3*(H/L)²*Q) / h²  = (H/L)²*Q /h²

dh/dt= [H/(h*L)]²*Q

replacing values, when h=4m

dh/dt= [H/(h*L)]²*Q  = [5m/(4m*2m)]² * (3m³/min)= 1.718 m/min

8 0
3 years ago
The distance between two schools,A and B is 2 km.A market is situated a third of the distance from A to B.How far is the market
bekas [8.4K]

Answer:

\frac{4}{3}

Step-by-step explanation:

Find distance between B and market: |B-M|=|M-B|

Distance between A and B: |A-B| = 2 , call this equation (1)

Distance between A and market |A-M| = \frac{1}{3} |A-B|=\frac{2}{3}, call this equation (2)

Solve (1) - (2)

|A-B-A+M| = 2-\frac{2}{3} \\|M-B|=|B-M|=\frac{4}{3}

3 0
2 years ago
Would really appreciate the help. Oh and please tell me how you got the answer.
swat32

Answer:3x-2/6

Step-by-step explanation:When you multiply 1/2 by 6 you would get 3, so 6x is turned to 3x, and when you multiply 1/2 by -2/3, you get -2/6, so your new equation is, (3x-2/6)

4 0
3 years ago
An experiment involves pulling a ball from a bag. The bag holds 10 balls that are each labeled with one letter from A to J. No l
lidiya [134]
A, B, C, D, E, F, G, H, I, J

The sample space for an experiment is the set of all possible outcomes for the experiment. This is experiment is a single step experiment, meaning that only one ball will be drawn from the bag. Since this is the case, all possible outcomes involve pulling any letter labeled A - J. No letter appears more than once in the bag, so there is only a 1 in 10 chance of drawing each letter. 


6 0
3 years ago
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