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AleksandrR [38]
2 years ago
12

Eight less than four times a number is less than 56. What are the possible values of that number

Mathematics
2 answers:
yan [13]2 years ago
4 0
Let unknown number be x.

Given,

4x - 8 < 56

4x < 64

x < 16

Hence, x is any value less than 16.
GarryVolchara [31]2 years ago
4 0

Answer:

The possible values of x is less than 16

Step-by-step explanation:

Given that eight less than four times a number is less than 56.

we have to find the possible values of that number.

Let the number be x.

Eight less than 4 times is 4x-8 is less than 56 i.e

4x - 8 < 56

Adding 8 on both sides, we get

4x < 64

x < \frac{64}{4}=16

Hence, x is any value less than 16.

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Edgar ran eee meters per second, and Mathieu ran mmm meters per second. The boys ran for ttt seconds.
Oksana_A [137]

Answer:

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  t(m-e).

Step-by-step explanation:

Edgar ran 'e' meters per second, and Mathieu ran 'm' meters per second. The boys ran for 't' seconds.

The expression t(m-e) describes how many more meters Mathieu ran than Edgar ran during that time.

We can also use the expression tm-te represent the same quantity.

We know that,

\text{Distance} =\text{Speed}\times \text{Time}

Distance covered by Edgar = te

Distance covered by Mathieu = tm

Difference in distance d= tm - te=t(m-e)

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  t(m-e).

7 0
2 years ago
Read 2 more answers
What is log6^e f rewritten using the power property?
marishachu [46]

Given expression : log_6e^f ..

We need to apply power property of logs to rewrite it.

According to log rule of exponents:

log_b a^n = n log_b(a)

If we compare given expression with the rule the exponent part is f, base is 6.

Therefore, we need to bring exponent f in front of log.

Therefore, log_6e^f  = flog_6 e.

<h3>And correct option is second option flog_6 e.</h3>
4 0
2 years ago
Read 2 more answers
Mr. Marlon buys these tickets for his family to visit the water park. The total cost is $210. Write and solve an equation to fin
mars1129 [50]

Answer:

$52.50

Step-by-step explanation:

210 divided by 4 equals 52.50

3 0
2 years ago
Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards,
hjlf

Answer:

a) 0.9644 or 96.44%

b) 0.5429 or 54.29%

Step-by-step explanation:

a) The probability that at least 1 defective card is in the sample P(A) = 1 - probability that no defective card is in the sample P(N)

P(A) = 1 - P(N) .....1

Given;

Total number of cards = 140

Number selected = 20

Total number of defective cards = 20

Total number of non defective cards = 140-20 = 120

P(N) = Number of possible selections of 20 non defective cards ÷ Number of possible selections of 20 cards from all the cards.

P(N) = 120C20/140C20 = 0.0356

From equation 1

P(A) = 1 - 0.0356

P(A) = 0.9644 or 96.44%

b) Using the same method as a) above

P(A) = 1 - P(N) .....1

Given;

Total number of cards = 140

Number selected = 20

Total number of defective cards = 5

Total number of non defective cards = 140-5 = 135

P(N) = 135C20/140C20 = 0.457

From equation 1

P(A) = 1 - 0.4571

P(A) = 0.5429 or 54.29%

8 0
2 years ago
Joshua is doing a chemistry experiment that calls for a 30% solution of copper sulfate. He has 40ml of 25% solution. How many mi
Sholpan [36]

Answer:

6 2/3 mL

Step-by-step explanation:

Multiply thru by 100 to get:

1000 + 60x = 30*40 + 30x

30x = 200

x = 6 2/3 mL (amt. of 60% solution needed in the mixture)

8 0
2 years ago
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