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tekilochka [14]
2 years ago
15

Divide $210 in the ratio 2:5

Mathematics
1 answer:
RideAnS [48]2 years ago
8 0
Let us say Karen received X amount of money. Then Natasha has received (X+210).
The ratio that the money divided was 2:5.
X/(X+210) = 2/5
5X = 2(X+210)
3X = 420
X = 140
Total money shared
= X+(X+210)
= 140+140+210
= 490

So the total money shared was $490.


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An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelec
Anastaziya [24]

Answer:

The probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

Step-by-step explanation:

Given:

The probability of getting a microprocessor from firm A is, P(A)=45\%=0.45

The probability of getting a microprocessor from firm B is, P(B)=30\%=0.30

The probability of getting a microprocessor from firm C is, P(C)=25\%=0.25

Now, let event D be having a defective microprocessor at random.

So, as per the question,

Probability of producing a defective microprocessor from firm A is, P(D/A)=6\%=0.06

Probability of producing a defective microprocessor from firm B is, P(D/B)=7\%=0.07

Probability of producing a defective microprocessor from firm C is, P(D/C)=5.5\%=0.055

Now, probability of having a defective microprocessor when selected at random is given as:

P(D)=P(A)\cdot P(D/A)+P(B)\cdot P(D/B)+P(C)\cdot P(D/C)\\P(D)=(0.45\times 0.06)+(0.30\times 0.07)+(0.25\times 0.055)\\P(D)=0.027+0.021+0.01375\\P(D)=0.06175\ or\ P(D)=0.06175\times 100\approx 6.2\%

Therefore, the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

5 0
3 years ago
Sam sharpens pencils for his after school job. He can sharpen 26 pencils in 6 minutes. If he keeps this rate, how many pencils c
andrey2020 [161]

Answer:

234

Step-by-step explanation:

multiply 26 x 9

8 0
3 years ago
What fraction of the students are girls give your answer in its simplest form
dezoksy [38]

Answer:

45% of students are female or 15/32

Step-by-step explanation:

We find out their is 72 Boys and 60 Girls

We add both together to get 132 Students

Then we divide to get our number/fraction

60/132 = 15/32 or 45%

MARK AS BRAINLIEST

5 0
3 years ago
The weight of an object on Venus is approximately 9/10 of its weight on Earth. The weight of an object
Sergeeva-Olga [200]

An object weighs 140 pounds more on Jupiter than it weighs on Venus. By simple algebraic operations, the required value is calculated.

<h3>What are the algebraic operations?</h3>

Addition, subtraction, multiplication, and division are the basic algebraic operations that are used for many computations.

<h3>Calculation:</h3>

It is given that,

An object's weight on Venus is approximately 9/10 of its weight on earth. I.e., WV = 9/10 WE

An object's weight on Jupiter is approximately 23/10 of its weight on earth. I.e., WJ = 23/10 WE

If an object weighs 100 pounds on earth, then

The weight of the object on Venus is

WV = 9/10 × 100 = 90 pounds

The weight of the object on Jupiter is

WJ = 23/10 × 100 = 230

Thus, the difference between them is 230 - 90 = 140 pounds.

So, the object weighs 140 pounds more on Jupiter than on Venus.

Learn more about algebraic operations here:

brainly.com/question/24935016

#SPJ4

8 0
1 year ago
Solve the following inequality: –1 + 6(–1 – 3x) &gt; –39 – 2x.    
insens350 [35]
<span>–1 + 6(–1 – 3x) > –39 – 2x. 
</span>-1-6-18x>-39-2x
-7-18x>-39-2x
-18x>-32-2x
-16x>-32
x<2


B. x<2
7 0
3 years ago
Read 2 more answers
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