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andrezito [222]
3 years ago
7

Abe has a bag of marbles and wants to divide them into sets. The first set will have 2 marbles; the second set, 5; the third set

, 8; the fourth set, 11; and so on. How many sets will he have if he starts with 40 marbles?
Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0

2 + 5 = 7

7 + 8 = 15

15 +11 = 26

11+3 = 14

26 + 14 = 40

 so he has 5 sets

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Answer:

x= -8    x=2

Step-by-step explanation:

x^2 +6x-6= 10

Subtract 10 from each side

x^2 +6x-6-10= 10-10

x^2 +6x-16 = 0

What 2 number multiply to -16 and add to 6

8 * -2 = -16

8 -2 = 6

(x+8) (x-2)=0

Using the zero product property

x+8=0  x-2=0

x= -8    x=2

3 0
3 years ago
Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with
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Answer:

The probability that Joe will be accepted at one and only one university

P(A n B ) = 0.1

Step-by-step explanation:

Given data the acceptance rate for applicants with similar qualifications is 25% for University A

P(A) = 25% =0.25

The acceptance rate for applicants with similar qualifications is 40% for University B

P(B) = 40% =0.40

<u>Independent events:</u>

let E and F are said to be independent events  then

P(E n F ) = P(E ) P(F)

both universities are independent

The probability that Joe will be accepted at one and only one university

P(A n B ) = P(A) P(B) = 0.25 X 0.40 = 0.1

7 0
3 years ago
a recipe calls for 2/5 cup of chicken broth and 1/4 cup of vegetable broth what is the total amount of broth needed for the reci
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Sam mom is buying pizza for the party. Each pizza has 8 slices. If Sam and his friends each want 3 slices, how many pizza should
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Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

x + 3y + 3(9.25 - 2x - 2y) = 12

-5x - 3y = -15.75

5x + 3y = 15.75

Since x = 5.25 - 2y:

5(5.25 - 2y) + 3y = 15.75

-7y = -10.5

y = \frac{10.5}{7}

y = 1.5

Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0
3 years ago
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