4(4x - 2) = x + 4
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Answers

Answer 1
Answer:

Answer:

4(4x - 2) = x + 4

16x - 8 = x + 4

15x = 12

x = 12/15 = 4/5

Answer 2
Answer:

Answer:

x = 0.8

Step-by-step explanation:

4(4x - 2) = x + 4

16x - 8 = x + 4

16x - x = 4 + 8

15x = 12

x = 0.8


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Problem 5.Joseph is told to dissolve a medicine he has to take in 1 pint 4 ounces of water. He has a
measuring cup marked in ounces. How many ounces of water should he pour?​

Answers

Answer:

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

Step-by-step explanation:

He is told to dissolve a medicine he has in 1 pint 4 ounces of water . He has a measuring cup marked in ounces .This means he can only measure the water quantity in ounces.

He definitely have to convert the pints to ounces.

1 pint = 16 ounces

Recall he has to dissolve the medicine in 1 pint 4 ounces of water.

Since 1 pint is equals to 16 ounces therefore, 16 ounces + 4 ounces  = 20 ounces.

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

If I buy cart 1 containing 350 pairs of shoes, I buy cart 2 containing 1000 pairs of shoes, what is the ratio of cart 1 to 2.

Answers

Answer:

7:20

Step-by-step explanation:

350:1000

35:100

5:20

Ans 5:20

Answer:

7:20

Step-By-Step Explanation:

Cart 1

350

Cart 2

1000

Ratio

350:1000

and divide both by 5

70:200

and divide both by 10

7:20

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

You need 1 1/4 cups of sugar to make 20 cookiesTo make 12 cookies, you will need ___ cups of sugar.

Answers

You would want to put your problem in an equation like this: x = 12(5/4)/20

Help.please i will mark brainliest !!

Answers

Answer:

SAS

Step-by-step explanation:

SAS is the correct answer

Anurak has nickels, dimes, and pennies in his pocket. The coins in Anurak's pocket have a total value of 75 cents. He has three more nickels than dimes and five times as many pennies as dimes. How many coins of each type does Anurak have?

Answers

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be x, y, z the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75(Eq. 1)

In addition, we get the following identities:

i)He has three more nickels than dimes

z + 3 = y(Eq. 2)

ii)And five times as many pennies as dimes

x = 5\cdot z(Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75

0.20\cdot z = 0.60

z = 3

The remaining variables are y = 6 and x = 15.

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the probability that during a randomly selected hour, the organization will receive fewer than two calls.A) 0.087B) 0.894
C) 0.317
D) 0.106

Answers

Answer:

B) 0.894

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = (e^(-\mu)*\mu^(x))/((x)!)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that \mu = 0.55

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = (e^(-\mu)*\mu^(x))/((x)!)

P(X = 0) = (e^(-0.55)*(0.55)^(0))/((0)!) = 0.577

P(X = 1) = (e^(-0.55)*(0.55)^(1))/((1)!) = 0.317

P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894