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Rudiy27
2 years ago
13

Luciano can type 190 words in 5 minutes. Which of the following ratios are in a proportional relationship with Luciano's typing

speed?
Select all that apply.


38/1

74/2

230/45

290/105

570/15

950/25
Mathematics
1 answer:
mina [271]2 years ago
5 0

Answer:

  • 38/1
  • 570/15
  • 950/25

Step-by-step explanation:

The given rate, in words per minute, is ...

  (190 words)/(5 min) = 38 words/min

The offered ratios are ...

  38/1 = 38 . . . . proportional

  74/2 = 37 . . . . NOT proportional

  230/45 ≈ 5.11 . . . NOT proportional

  290/105 ≈ 2.76 . . . NOT proportional

  570/15 = 38 . . . . proportional

  950/25 = 38 . . . . proportional

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irakobra [83]
Ellipse in standard form
4 0
3 years ago
Inequality in real world.
Oxana [17]
Solving real-world problems that involve inequalities is very much like solving problems that involve equations.

Example 1

In order to get a bonus this month, Leon must sell at least 120 newspaper subscriptions. He sold 85 subscriptions in the first three weeks of the month. How many subscriptions must Leon sell in the last week of the month?

Solution

Let x = the number of subscriptions Leon sells in the last week of the month. The total number of subscriptions for the month must be greater than 120, so we write :

85 + x ≥ 120.

We solve the inequality by subtracting 85 from both sides: x ≥ 35.

Leon must sell 35 or more subscriptions in the last week to get his bonus.

Check

To check the answer, we see that 85 + 35 = 120. If he sells 35 or more subscriptions, the total number of subscriptions he sells that month will be 120 or more. The answer checks out.

Example 2

Virenas Scout troop is trying to raise at least $650 this spring. How many boxes of cookies must they sell at $4.50 per box in order to reach their goal?

Solution

Let x = number of boxes sold. Then the inequality describing this problem is 4.50 ≥ 650.

We solve the inequality by dividing both sides by 4.50: x ≥ 144.44.

We round up the answer to 145 since only whole boxes can be sold.

Virenas troop must sell at least 145 boxes.

Check

If we multiply 145 by $4.50 we obtain $652.50, so if Virenas troop sells more than 145 boxes they will raise more than $650. But if they sell 144 boxes, they will only raise $648,

which is not enough. So they must indeed sell at least 145 boxes. The answer checks out.

3 0
3 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.
ArbitrLikvidat [17]

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

3 0
3 years ago
Plz help it’s important
m_a_m_a [10]

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

__

B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

__

C. Then the total volume is ...

  V = hemisphere volume + cylinder volume

  V = 261.799 m³ +942.478 m³ = 1204.277 m³

__

Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

_____

As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

6 0
3 years ago
PLEASE HELP. i have one hour to get this done and i have no clue what to do on this bonus question i need to pass!! look in the
Scilla [17]

Answer: the perimeter is 214. AB's half is 32.5 and BC's whole is 65

Step-by-step explanation: 10x-5 and 12x-26 are equal, as shown by the marks on their lines, so we can set them equal to each other to solve for x. when solved x=7. then plug 7 into each equation to get 65. lastly add up 84+65+65 to get 214.

5 0
3 years ago
Read 2 more answers
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