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ANEK [815]
3 years ago
7

Can someone answer this ?

Mathematics
2 answers:
frozen [14]3 years ago
8 0
The answer is definitely letter C.
Irina-Kira [14]3 years ago
8 0

Answer: C. x= 1 and x= -4

Step-by-step explanation:

10=4x+6

4=4x subtract 6

1=x divide by 4

and

-10=4x+6

-16=4x subtract 6

-4=x divide by 4

You might be interested in
Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o
Lana71 [14]

Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

   Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9     .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100       ........(2)

Divide equation (2) by 4 we get

x + 3y = 25     .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y  - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = \frac{16}{2} = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

8 0
3 years ago
At a university, the percentages of Distinction", "Merit", and Pass' in students are 10%, 20%
aleksandr82 [10.1K]

Answer:

63% of all undergraduates receive at least one grant or scholarship.

Step-by-step explanation:

Scholarships and grants, which covered 31% of cost, and parent income and savings, which covered 30%, are the top two sources of funding. The share of cost paid from other resources are 14% from student borrowing, 13% from student income and savings, 10% from parent borrowing, and 2% from friends and family.

6 0
3 years ago
Michael wants to take French or Spanish, or both. But classes are closed, and he must apply and get accepted to be allowed to en
Brums [2.3K]

Answer:

80%.

Step-by-step explanation:

Given the following probabilities:

  • P(Micheal Being admitted to French), P(F)=50%
  • P(Micheal Being admitted to Spanish), P(S)=50%

In Probability Theory, when we have BOTH , we mean the intersection of the probabilities. Therefore:

  • P(Micheal Being admitted to BOTH French and Spanish), P(F \cap S)=20\%

We want to determine the probability that he will be enrolled in either French or Spanish (or possibly both).

Probability of either A OR B =P(F \cup S)

From Probability Theory:

P(F \cup S) = P(F)+P(S)-P(F \cap S)\\P(F \cup S) =50+50-20\\P(F \cup S) =80

The probability that he will be enrolled in either French or Spanish (or possibly both) is 80%.

3 0
3 years ago
The Rodriguez family went to dinner at at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a meal for $7.50;
lidiya [134]
Cost of the meal ordered by Mr. Rodriguez = $6.25
Cost of the meal ordered by Mrs. Rodriguez = $7.50
Cost of each pizza ordered by the two children = $4.99
Then
The cost of the 2 pizzas ordered by the 2 children = (2 * 4.99) dollars
                                                                                 = 9.98 dollars
So
The total cost of the orders = (6.25 + 7.50 + 9.98) dollars
                                             = 23.73 dollars
Percentage of tip on the bill = 15%
Then
Amount of tip paid = (15/100) * 23.73 dollars
                              = 355.95/100 dollars
                              = 3.56 dollars
Percentage of tax paid on the bill = 7.25%
Amount of sales tax that was paid = (7.25/100) * 23.73 dollars
                                                       = 172.04/100 dollars
                                                       = 1.72 dollars
So
The total bill that was paid = (23.73 + 3.56 + 1.72) dollars
                                           = 29.01 dollars
4 0
4 years ago
(1 point) Consider n=20 independent flips of a fair coin. Say that a changeover occurs whenever an outcome differs from the one
77julia77 [94]

Answer:

9.5

Step-by-step explanation:

There is no changeover in the first throw. The probability of each changeover is 1/2 and it doesnt depend on the other changeovers. The only thing that modifies each experiment is the result of the previous flip, but regardless of weather it was tails or heads, the probability will always be 1/2.

Since the coin is flipped 20 times and the first time there is no changeover, there are a total of 19 experiments. All of them independent and with probability 1/2. Therefore, the total amount of changeovers for 20 flips is a random variable with distribution Binomial B(19,0.5), the expected value of a Binomial B(n,p) is n*p. In this case, the expected value of changeovers for n=20 is 19*0.5 = 9.5.

5 0
3 years ago
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