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Ivahew [28]
2 years ago
7

an inspector tested the first 125 radios that came off the production line today and found only 60% acceptable. After the inspec

tor tested 25 more radios, the overall percentage of acceptable radios rose to 62%. The number of these 25 radios that were rejected is???
Mathematics
1 answer:
Oduvanchick [21]2 years ago
8 0

Answer: 7 radios

Step-by-step explanation:

The following can be deduced from the question:

Number of radios tested = 125 radios

Percentage acceptable = 60%

Numbers acceptable:

= 60% × 125

= 0.6 × 125

= 75 radios

Numbers rejected = 125 - 75 = 50 radio

We are further told that the inspector tested 25 more radios, this will be:

Number of radios tested

= 125 + 25 = 150 radios

Percentage acceptable = 62%

Numbers acceptable

= 62% × 150

= 0.62 × 150

= 93 radios

Numbers rejected= 150 - 93 = 57 radios

The number of these 25 radios that were rejected will be:

= 57 - 50

= 7 radios

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The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-mar
GREYUIT [131]

Answer:

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

Step-by-step explanation:

Let

x -----> the length of the Boston Marathon in meters

y -----> the  length of the Idita rod Trail Invitational ultra-marathon in meters

we have

x=4.2*10^4\ m

y=1.6*10^6\ m

we know that

To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the  Boston Marathon

so

\frac{y}{x}

\frac{x}{y}=\frac{1.6*10^6}{4.2*10^4}

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

\frac{1.6*10^6}{4.2*10^4}=\frac{1.6}{4.2}*(10^{6-4})=0.381*(10^{2})=38.1

therefore

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

5 0
2 years ago
Robert Bought new carpet for his living room. The store charged a flat rate of $300.00 to remove the old carpet And install the
Alexeev081 [22]

Answer:

1259.76 square feet.

Step-by-step explanation:

Sorry, I don't know how to explain, I just automatically knew the answer. Hope it helps!

6 0
1 year ago
Read 2 more answers
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
Jlenok [28]

Answer:  y+0

As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.

Step-by-step explanation:

6 0
2 years ago
PLEASE help!!!! Jackie runs and dances for a total of 55 minutes every day. She dances 25 minutes more than she runs. Part A: Wr
Andrew [12]
Part a:

x + y = 55

y = x + 25

part b:

jackie runs 15 minutes every day.

part c:

it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run

step-by-step explanation:

let's call and while jackie is dancing

let's call x while jackie is running

then we know that jackie runs and dances for a total of 55 minutes every day

this means that:

x + y = 55

we also know that jackie dances 25 minutes more than she runs.

this meant that:

y = x + 25

now we substitute the second equation in the first and solve for the variable x

x + x + 25 = 552x = 55-252x = 30x = 15

jackie runs 15 minutes every day.

now we find the value of the variable -y

15 + y = 55y = 55-15y = 40

note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
7 0
2 years ago
Read 2 more answers
1. Write 3,876,943,000 using scientific notation.
Sunny_sXe [5.5K]

Answer:

3.876943x10^9

7.317x10^-4

Step-by-step explanation:

3,876,943,000

Put the decimal at the end

3,876,943,000.

Move it so only 1 number is before the decimal

3.876943000

We moved it 9 places, so that is the exponent

We moved it to the left, so the exponent is positive

The three zeros at the end can be dropped because they are the last numbers to the right of the decimal

3.876943x10^9

0.0007317

Move it so only 1 number is before the decimal

00007.317

We moved it 4 places, so that is the exponent

We moved it to the right, so the exponent is negative

The four zeros at the left can be dropped because they are the last numbers to the left of the whole number

7.317x10^-4

8 0
2 years ago
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