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Ratling
13 days ago
13

mark transferred songs from his computer onto his portable music player. He transferred 2 6/7 songs in 1 2/3 minutes. How many s

ongs did he transfer per minute?
Mathematics
1 answer:
Zina [3.9K]13 days ago
7 0
(2 6/7) divided by (1 2/3) equals x over 1.
Cross-multiply and convert mixed numbers to improper fractions:
(5/3)x = 20/7
Solving for x:
x = (20/7) × (3/5)
x = 60/35, which simplifies to 1 5/7 songs per minute.
You might be interested in
60 more than nine times a number is the same as two less than 10 times the number what is the number
PIT_PIT [3949]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

I hope this was helpful! Please consider giving me Brainliest!!

4 0
20 hours ago
At a certain company, loan agents are paid based on the number of loans they close in a day. Based on company records, the numbe
Zina [3936]

Answer:

C. The mean daily salary is not above $350 per day

Step-by-step explanation:

The calculation is displayed below:

Y = a + bX

where,

Y = earnings of a randomly chosen agent

a = $150

b = $50

X = number of loans closed

Now

E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)

= 3.94

Consequently,

E(y) = $150 + ($50 × 3.94)

= $347

therefore, option C is incorrect

4 0
4 days ago
Read 2 more answers
The equation y=45x represents the number of miles, y, Mr. Miller’s car can travel using x gallons of gas. Which data display rep
Inessa [3929]
You might consider utilizing the following dataset:
0 0
1 60
2 120
3 180
4 240
5 300
6 360
7 420
8 480
9 540
10 600
This information illustrates a function of:
y = 60x
This indicates that the vehicle achieves 60 miles per gallon.
The distance covered per gallon exceeds that of Mr. Miller's vehicle.
7 0
12 days ago
In ΔHIJ, the measure of ∠J=90°, JI = 4, HJ = 3, and IH = 5. What ratio represents the tangent of ∠I?
Inessa [3929]

Answer:

The ratio  \frac{3}{4} corresponds to the tangent of ∠I.

Step-by-step explanation:

Let’s revisit the trigonometric ratios:

  • sin Ф =  \frac{opposite}{hypotenuse}
  • cos Ф =  \frac{adjacent}{hypotenuse}
  • tan Ф =  \frac{opposite}{adjacent}

For triangle HIJ

∵ m∠J = 90°

- The hypotenuse is the side opposite the right angle.

So, HI is the hypotenuse.

∵ HJ = 3 units

∵ IH = 5 units

- We’ll apply the Pythagorean Theorem to solve for HJ.

∵ (HJ)² + (IJ)² = (IH)²

∴ 3² + (IJ)² = 5²

∴ 9 + (IJ)² = 25

- Subtract 9 from both sides.

∴ (IJ)² = 16

- Taking the square root on both sides gives:

∴ IJ = 4 units

To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.

∵ HJ is opposite to ∠I

∵ IJ is adjacent to ∠I

- Utilizing the rule of tan above:

∴ tan(∠I) = \frac{HJ}{IJ}

∴ tan(∠I) = \frac{3}{4}

The ratio \frac{3}{4} indicates the tangent of ∠I.

7 0
10 days ago
The owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. What percen
tester [3968]

Answer:

40%

Detailed solution:

John Smith and Susan Jones have contributed $240,000 and $160,000 respectively toward Expo Company. We are tasked with determining the proportion of the business owned by Susan.

First, calculate the total investment by summing both contributions.

\text{Total money invested in business}=\$240,000+\$160,000

\text{Total money invested in business}=\$400,000

Next, find what percentage $160,000 is of the total $400,000.

\text{Percentage of business Susan own}=\frac{160,000}{400,000}\times 100

\text{Percentage of business Susan own}=0.4\times 100

\text{Percentage of business Susan own}=40

Thus, Susan's share in the company is 40%.

5 0
14 days ago
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