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ankoles [38]
3 years ago
11

Given that R = 3x + 9y

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer:

Step-by-step explanation:

R = 3x + 9y

They told us that R = 7, y = 6

So you can rewrite the equation as:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

Subtract 54 from both sides.

7 - 54 = 3x

-47 = 3x

To find x, you need to divide both sides by 3

3x = -47

x = -47/3

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An alloy is composed of nickel, zinc, and copper in a 7:2:9 ratio. How many kilograms of each metal is needed to make 3.8 kg of
Tamiku [17]
Ni : Zn: Cu = 7:2:9 =7x : 2x : 9x

7x+2x+9x = 3.8
18x=3.8
x=3.8/18=1.9/9≈0.21

Ni:   7x=7*0.21=1.47 ≈1.5 kg
Zn:  2x=2*0.21=0.42≈0.4 kg
Cu: 9x=9*0.21=1.89 ≈1.9 kg

Check 1.5+0.4+1.9 =3.8 True
6 0
3 years ago
Which of the following of x and y would make up the following expression represent a real number? (4+5i)(x+yi)
salantis [7]

Answer:

x = 4 and y = - 5

Step-by-step explanation:

note that the product of a complex number and it's conjugate is real

That is

(a + bi)(a - bi) where a, b are real

= a² - abi + abi - b²i²

= a² + b² ← a real number

For (4 + 5i)(x + yi) to be real

we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i

(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5



8 0
3 years ago
An expression is shown: martha evaluates the expression using these steps: step 1: step 2: step 3:
earnstyle [38]

Answer:Answer: D Step 3 ; f²k³

Explanation:

(k⁻¹)⁻³ = k³

Step-by-step explanation:

8 0
3 years ago
Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.
timofeeve [1]
13,000 • 3 = 1 hour = 39,000
Now we take the one hours worth 39,000 • 48 (hours in two days) = 1,872,000
Hope this helps!
6 0
3 years ago
I need help plz<br> 99 points waiting for the person that answers the question
amid [387]

Answer:

No

Step-by-step explanation:

This is from a website so you might have to rephrase it but Direct variation describes a simple relationship between two variables . We say y varies directly with x (or as x , in some textbooks) if:

y=kx

for some constant k , called the constant of variation or constant of proportionality . (Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x .")

This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

The graph of the direct variation equation is a straight line through the origin.

4 0
3 years ago
Read 2 more answers
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