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nevsk [136]
3 years ago
5

Mary is planning to give 6 friends a book and some candy. Each book was $4.50. She wants to spend no more than $39.00. How many

pieces of candy can she give to each friend if the candy is $0.25 for each piece?​
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Answer:

8

Step-by-step explanation:

First multiply $4.50 and 6, you get $27.

Subtract $27 from $39, you get $12 left.

Divide $12 by .25cents, you get 48 pieces of candy.

Divide 48 by 6, you get 8.

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5. Find the discriminant of 15x2 = 4x – 1 and describe
diamong [38]

Answer:

a) The discriminant of the equation =  - 44

b)The nature of the roots will be imaginary.

c) x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

Step-by-step explanation:

Here, the given expression is 15x^{2}  = 4x -1

or, 15x^{2}  -  4x + 1   = 0

Now the discriminant (D) of a quadratic equation ax^{2}  +b x + c   = 0

D = b^{2}   -  4ac  = (-4)^{2}  -  4(15) (1)  = 16 - (60) = -44

Hence, the discriminant of the equation =  - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : x = \frac{-b \pm \sqrt{b^{2}  - 4ac} }{2a}

So, here x = \frac{-(-4) \pm \sqrt{D} }{2a}  = \frac{4 \pm \sqrt{(-44 )} }{30}

So, either x = \frac{4 + \sqrt{(-44 )} }{30} or, x =  \frac{4 - \sqrt{(-44 )} }{30}

or, x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

8 0
2 years ago
A designer is creating a rug for an oddly-shaped room. His design for the rug is shown below. If each blue square represents 1 s
likoan [24]

Answer:

btw we cant see the image sorry

Step-by-step explanation:

3 0
3 years ago
According to a study conducted in one city, 35% of adults in the city have credit card debts more than $2.000. A simple random s
BabaBlast [244]

Answer:

Binomial; \mu p=87.5, \sigma p=7.542

Step-by-step explanation:

  • a distribution is said be a binomial distribution iff
  1. The probability of success of that event( let it be p) is same for every trial
  2. each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
  3. there are fixed number of trials (n)
  4. the trials are independent
  • here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)
  • here n=250
  • the probability of success(0.35) is same for every trial

(35/100=0.35 is the required p here)

  • \mu_{p} =n*p=250*\frac{35}{100} =250*0.35=87.5

[since, the formula for \mu _{p} =n*p ]

  • \sigma _{p} =\sqrt{n*(p)*(1-p)} = \sqrt{250*0.35*(1-0.35)} = 7.542 ( approximately)

[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}

  • therefore, it is Binomial; \mu p=87.5, \sigma p=7.542

4 0
3 years ago
Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
kirill115 [55]

Answer:

  • See below

Step-by-step explanation:

<u>The quadratic equation in factored form:</u>

  • a(x - α)(x - β), where a- leading coefficient, α and β - roots

<u>We have:</u>

  • a = 3, α = 1, β = -2

<u>Substitute them to get:</u>

  • 3(x - 1)(x + 2)

<u>Converting this into standard form:</u>

  • 3(x - 1)(x + 2) =
  • 3(x² + x - 2) =
  • 3x² + 3x - 6
3 0
2 years ago
My quiz had 15 questions, I got a score of 67.8%. how many questions did I get wrong?
Ne4ueva [31]
You take 67.8/100×15
10.17
then take 15-10.17 the answer will be the wrongs u got
=4.83
4 0
3 years ago
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