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vivado [14]
2 years ago
13

Adam is going to make concrete

Mathematics
1 answer:
hodyreva [135]2 years ago
5 0

Answer:

90 kg of stone

Step-by-step explanation:

Adam has 8 x 25 = 200

19 x 22.5 = 427.5

20 x 50 = 1000

He has enough cement and sand

He needs 1090 - 1000 = 90 kg of stone

He needs 2 bags of stone

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One year,the price of wheat was $8.87 per bushel.The next year,the price was $9.60. Round the price per bushel of wheat for each
stellarik [79]
<span>So the given numbers are:
=> One year, the price of wheat is 8.87 dollars
=> the next year, the price of wheat is 9.60 dollars.
We were asked to round each prices of bushels of wheat to its nearest tenths.
=> 8.87, where 8 before the decimal point is ones, 8 next to decimal point is tenths and 7 is the hundredths.
=>round off to the nearest tenths
=> 8.9
=> next is 9.60, where 9 is the ones value, 6 is the tenths value and 0 is the hundredths.
=> round off to nearest tenths
=> 9.6

</span>



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2 years ago
Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.
Triss [41]
F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
    (f + g)(x) = 2x² + 4x + (-1 + 3)
    (f + g)(x) = 2x² + 4x + 2
    Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
    (f - g)(x) = 4x + 1 - 2x² - 3
    (f - g)(x) = -2x² + 4x + 1 - 3
    (f - g)(x) = -2x² + 4x - 2
    Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
    (g - f)(x) = 2x² + 3 - 4x + 1
    (g - f)(x) = 2x² - 4x + 3 + 1
    (g - f)(x) = 2x² - 4x + 4
    Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
    (f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
    (f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
    (f · g)(x) = 8x³ + 12x + 2x² + 3
    (f · g)(x) = 8x³ + 2x² + 12x + 3
    Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. (\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}
    Domain: 2x² + 3 ≠ 0
                         - 3  - 3
                        2x² ≠ 0
                         2      2
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6. (\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}
    Domain: 4x - 1 ≠ 0
                      + 1 + 1
                        4x ≠ 0
                         4     4
                         x ≠ 0
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2 years ago
Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so
Georgia [21]
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
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c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution 


We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ +  v₂c₂
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2 years ago
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Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 493 people, 40 people had he
Anna71 [15]
Point estimate proportion is the average of lower and upper interval limit.

Point estimate proportion )p) = x/n
Where x = observations, n=sample size

Substituting;

p= 40/493 = 0.0811
8 0
2 years ago
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Which ordered pair minimizes the objective function C = 60x + 85y?. (0, 160). (55, 70). (80, 50). (170, 0)
dangina [55]

Step-by-step explanation:

The given objective function is C = 60x + 85y

To check that which ordered pair is minimizing the objective function-we will substitute all the ordered pair one by one in the given function and we will calculate the value of C. The ordered pair which will give the minimum value will be the answer.

For (0, 160)

C=60\times 0+85\times 160=13600

For (55, 70)

C=60\times 55+85\times 70=9250

For (80, 50)

C=60\times 80+85\times 50=9050

For (80, 50)

C=60\times 170+85\times 0=10200

Hence the ordered pair which minimizes the objective function is (80, 50)




3 0
2 years ago
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