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Daniel [21]
3 years ago
15

pay varies directly with the number of sales he makes. He made 22 sales and earned $154. How much will he earn for 35 sales? $

Mathematics
2 answers:
babunello [35]3 years ago
8 0
22 : 154
35 : x

22x : 5,390

245 : x
miss Akunina [59]3 years ago
7 0
154/22 ×35 =245$ is the answer
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41.89

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3.14 x 4 x 3.33333333, which equals 41.89.

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Dexter runs around a track at 10 laps in 20 minutes. How many laps per minute is that?
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Step-by-step explanation:

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Solve the simultaneous equations:<br> 3x + 2y = 35 <br> 2x + 3y = 30
lesya [120]

Answer:

nuber 1

Simplifying

3x + 2y = 35

Solving

3x + 2y = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 35 + -2y

3x = 35 + -2y

Divide each side by '3'.

x = 11.66666667 + -0.6666666667y

Simplifying

x = 11.66666667 + -0.6666666667y

5 0
3 years ago
You are considering two cars that you plan on keeping for 5 years. One has an EPA combined city and highway rating of 33 mpg. Th
amid [387]

Answer:

a) $86.11

b) $467.33

Step-by-step explanation:

no. of gallons saved 'n' per year

n = (10000/33) - (10000/36)

n = 2500/99

Amount saved = 3.41×n = 3.41×2500/99

= $86.11

b) over 5 years:

86.11( 1 + (1.041) + (1.041)² + (1.041)³ + (1.041)⁴ )

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6 0
3 years ago
Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)
JulsSmile [24]

Let the given complex number

z = x + ix = \dfrac{5-i}{3+2i}

We have to find the standard form of complex number.

Solution:

∴ x + iy = \dfrac{5-i}{3+2i}

Rationalising numerator part of complex number, we get

x + iy = \dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}

⇒ x + iy = \dfrac{(5-i)(3-2i)}{3^2-(2i)^2}

Using the algebraic identity:

(a + b)(a - b) = a^{2} - b^{2}

⇒ x + iy = \dfrac{15-10i-3i+2i^2}{9-4i^2}

⇒ x + iy = \dfrac{15-13i+2(-1)}{9-4(-1)} [ ∵ i^{2} =-1]

⇒ x + iy = \dfrac{15-2-13i}{9+4}

⇒ x + iy = \dfrac{13-13i}{13}

⇒ x + iy = \dfrac{13(1-i)}{13}

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0
3 years ago
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