All categories

4 years ago

PLEASE HELP!!

Mathematics

1 answer:

Marianna [84]4 years ago

7 0

Rosalie has 30 plants in her garden

<h3>Solution:</h3>

Given that Elizabeth has $1\frac{7}{10}$ as many plants as Rosalie has in her garden

Also given that Elizabeth has 51 plants

Let "a" be the number of plants in Elizabeth garden

Let "b" be the number of plants in Rosalie garden

So according to given information,

Number of plants in Elizabeth garden = $1\frac{7}{10} \times$ number of plants in rosalie garden

$a = 1\frac{7}{10} \times b\\\\51 = \frac{17}{10} \times b\\\\51 = 1.7 \times b\\\\b = \frac{51}{1.7}\\\\b = 30$

Thus number of plants in Rosalie garden is 30

You might be interested in

Word problem that represents 8 times -0.25

lubasha [3.4K]

Answer:

If bob buys 8 choclates, which each of them are 0.25 dollars each, how much money does he have if he has 0 dollars?

Step-by-step explanation:

8 0

3 years ago

At a certain toy store, tiny stuffed

AleksAgata [21]

Answer:

130

Step-by-step explanation: add

4 0

3 years ago

Find the perimeter of the quadrilateral.

levacccp [35]

Question:

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

Answer:

<h3>The perimeter of the quadrilateral is 129 inches</h3>

Solution:

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

$4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches$

The values of the side lengths when x = 2 are

$(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch$

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

5 0

3 years ago

Factor the expression using the GCF.

ss7ja [257]

Answer:

= 3 (3x + 5y)

Step-by-step explanation:

First find the GCF of 9 and 15 which would be 3. Then the GCF which is 3 is placed on the left of the parentheses. then you plug in the numbers. So 9x divided by 3 is 3x, and 15y divided by 3 is 5y.

7 0

2 years ago

Read 2 more answers

There is a 0.9991 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charge

jarptica [38.1K]

Answer:

a) Monetary values corresponding to the two events are:

-In case of surviving the year = -166$

-In case of a death in the year = 89834$

b) Expected value of the purchasing the insurance is -85 $

c) Yes, insurance company can make a profit with this policy.

Step-by-step explanation:

a) The man need to pay 166$ first to enroll the insurance policy. If he survives within a year, he will lose 166$. Otherwise, if he dies within a year he will profit 89834$.

b) Expected value of the purchasing the insurance as following:

-In case of surviving the year:

Value: -166$

Probability: 0,9991

-In case of death in a year

Value: 89834$

Probability: 0,0009

Expected value is E(x) = -166×0,9991 + 89834×0,0009 = -85 $

c) Lets consider that 10000 different 31 year old man enrolled to this insurance policy. According to probability of death, 9 out of 10000 man expected to be dead within the year. Therefore, company need to pay 9*90000 = 810000$ to their costumers. But, company will collect 10000*166=1660000$ from their costumers in the beginning of the year

So, it is expected that company is going to profit 1660000-810000=850000$ per year.

4 0

4 years ago