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Ray Of Light [21]
3 years ago
11

Perform the indicated operation. 1/3÷3/8 A) 1/8 B)8/9 C)1 1/8

Mathematics
2 answers:
saveliy_v [14]3 years ago
5 0

<u><em>REVIEW:</em></u>

Numerator is the number on the top in a fraction. Denominator is the number at the bottom of a fraction.

\frac{1}{2} \rightarrow \frac{numerator}{denominator}

Here is your equation:

\frac{1}{3} \div \frac{3}{8}

When dividing fractions, you have to Keep, Change, then Flip.

Keep\ \frac{1}{3} \\ Change\ \div\ to\ \times \\ Flip\ \frac{3}{8} \rightarrow \frac{8}{3}

Here is your new equation:

\frac{1}{3} \times \frac{8}{3}

Multiply the numerators and denominators together:

\frac{1}{3} \times \frac{8}{3} = \frac{8}{9}

Your answer is A. \frac{8}{9}

<em>If you have any questions, feel free to ask! :)</em>

Alenkinab [10]3 years ago
4 0

1/3÷3/8

Multiply by reciprocal

1/ 3÷ 8/3

Now multiply across


1×8/3×3


Solve

8/9


Your answer is b .


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3 years ago
One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p
scZoUnD [109]

Answer:

c^2 = 9dp

Step-by-step explanation:

Given

dx^2 + cx + p = 0

Let the roots be \alpha and \beta

So:

\alpha = 2\beta

Required

Determine the relationship between d, c and p

dx^2 + cx + p = 0

Divide through by d

\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0

x^2 + \frac{c}{d}x + \frac{p}{d} = 0

A quadratic equation has the form:

x^2 - (\alpha + \beta)x + \alpha \beta = 0

So:

x^2 - (2\beta+ \beta)x + \beta*\beta = 0

x^2 - (3\beta)x + \beta^2 = 0

So, we have:

\frac{c}{d} = -3\beta -- (1)

and

\frac{p}{d} = \beta^2 -- (2)

Make \beta the subject in (1)

\frac{c}{d} = -3\beta

\beta = -\frac{c}{3d}

Substitute \beta = -\frac{c}{3d} in (2)

\frac{p}{d} = (-\frac{c}{3d})^2

\frac{p}{d} = \frac{c^2}{9d^2}

Multiply both sides by d

d * \frac{p}{d} = \frac{c^2}{9d^2}*d

p = \frac{c^2}{9d}

Cross Multiply

9dp = c^2

or

c^2 = 9dp

Hence, the relationship between d, c and p is: c^2 = 9dp

8 0
3 years ago
Samuel collected 30 signatures from fifth-grade students at his school. He noticed that 3/5 of the signatures were done in penci
Iteru [2.4K]

Answer:

30 / 5 = 6.

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Step-by-step explanation:

Hope this helped! Have a great day!

3 0
3 years ago
Read 2 more answers
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ankoles [38]

Answer:

1861.39 cm²

Step-by-step explanation:

Given:

d = 15 cm

radius (r) = ½(15) = 7.5 cm

Height = 32 cm

Surface area of a cylinder = 2πrh + 2πr²

Plug in the values

Surface area = 2*π*7.5*32 + 2*π*7.5²

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7 0
3 years ago
In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3
Sliva [168]

Answer:

i) it is not possible for the student to receive an A in the class

ii) 119 points

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Step-by-step explanation:

Total exam scores = 350points

homework scores of 7, 8, 7, 5, and 8

Let the third exam score =y

Exam scores = 81, 80, x

i) To know if the student would get an A in class, we would find the third exam score

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196+x = 350 × 0.9

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x = 315-196

x = 119

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Since the maximum grade for each of the exam score is 100points, it is not possible for the student to receive an A in the class.

ii) Since the least of the grade percentage that would guarantee an A is 0.9, the minimum score on the third exam that will give an A = 119points

iii) (Scores received by a student)/ (total scores) = least of the grade percentage to get a B

(7 + 8 + 7 +5 + 8 + 81 + 80 + x)/350 = 0.8

(196+x)/350 = 0.8

196+x = 350 × 0.8 = 280

x = 280-196

x = 84

The minimum score on the third exam that will give a B = 84points

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3 years ago
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