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3 years ago

How do you transfer x=3y-1 into mx+b form?

Mathematics

1 answer:

Alika [10]3 years ago

6 0

$x=3y-1\\
3y=x+1\\
y=\dfrac{1}{3}x+\dfrac{1}{3}$

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Two classes have a total of 50 students. One class has 6 more students than the other. How may students are in the larger class

givi [52]

Subtract 6 from 50:
50-6 = 44
Divide 44 by 2:
44/2 = 22

add 6:

22+6 = 28

There is 22 in the smaller class and 28 in the larger class.

5 0

2 years ago

A math class has three girls and 7 boys in the 7th grade and five girls and five boys in the 8th grade the teacher randomly sele

Anuta_ua [19.1K]

Answer:

7/20

Step-by-step explanation:

Seventh grade: Total = 3 + 7 = 10

Number of boys = 7 boys

Probability of a boy being picked = 7/10

Eighth grade: Total 5 + 5 = 10

Number of boys = 5

Probability 5/10 = 1/2

The probability of the correct outcome = 7/10 * 1/2 = 7 / 20

Answer: 7 / 20

7 0

3 years ago

The fraction 5/8 produces a repeating decimal. ___ 0.625 True or False

Rama09 [41]

Answer:

False i just did it

Step-by-step explanation:

7 0

2 years ago

The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per yea

denis-greek [22]

If there’s a total of 210 fruit trees, and each tree produces 590 pounds a year, you multiply both those numbers and get 123,900 pounds a year.

6 0

3 years ago

The figure is made up of a hemisphere and a cylinder.

Goryan [66]

Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting: $\pi \approx 3.14$
V (volume) = ?

Solving:(Cylinder volume)
 $V = h* \pi *r^2$
$V = 8*3.14*5^2$
$V = 8*3.14*25$
$\boxed{ V_{cylinder} = 628\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4 * \pi * \frac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3} 
$

Formula: (Volume of the hemisphere)
 $V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}$

Solving:
$V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}$
$V = \frac{1}{2} * 4 * 3.14 * \frac{5^3}{3}$
$V = \frac{1}{2} * 4 * 3.14 * \frac{125}{3}$
$V = \frac{1570}{6}$
$\boxed{V_{hemisphere}\approx 261.6\:cm^3}$

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
$\boxed{\boxed{Volume\:of\:the\:figure = 1517.6\:cm^3}}\end{array}}\qquad\quad\checkmark$

3 0

3 years ago

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