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3 years ago

10 Times as many as hundreds is

Mathematics

1 answer:

Basile [38]3 years ago

3 0

10 refers to the number of 100's
multiple 10 by 100 to get 1000

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A bag contains 135 marbles some white and some transparent. The ratio of white marbles to transparent ones is 3 : 6. How many wh

Setler [38]

Answer:

Number of white marbles in the bag = 45

Step-by-step explanation:

Total number of marbles in the bag = 135

Ratio of white marble to transparent ones = 3 : 6

Let number of white marbles be $=3k$

Then number of transparent marble will be $=6k$

Total number of marbles will be $=3k+6k=9k$

So we have.

$9k=135$

Dividing both sides by 9.

$\frac{9k}{9}=\frac{135}{9}$

∴ $k=15$

∴ Number of white marbles in the bag = $3k=3\times15 = 45$

5 0

3 years ago

Complete the table below using the Midpoint and Distance Formulas.

Zielflug [23.3K]

Answer:

Coordinates of M = (2, -1)

Length of AB = 10 units

Step-by-step explanation:

Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

Thus:

$M(\frac{2 + 2}{2}, \frac{4 +(-6)}{2})$

$M(\frac{4}{2}, \frac{-2}{2})$

$M(2, -1)$

Length of AB:

Distance between A(2, 4) and B(2, -6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

$AB = \sqrt{(2 - 2)^2 + (-6 - 4)^2}$

$AB = \sqrt{(0)^2 + (-10)^2}$

$AB = \sqrt{0 + 100} = \sqrt{100}$

$AB = 10$

5 0

3 years ago

During a sale, all video games $10 off. Rebecca used a coupon to get an additional $15 off her purchase. If the original price o

enyata [817]

Rebecca payed $35 for the video game, simple math.

4 0

3 years ago

Simplify (5x-7) (2x+3) (7x-8)

Natali5045456 [20]

Answer:

70x³ - 73x² - 155x + 168

Step-by-step explanation:

Given

(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL

= (10x² + x - 21)(7x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis

= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms

= 70x³ - 73x² - 155x + 168

3 0

2 years ago

Given the sequence -2,-8/3,-10/3,-4,-14/3 find the recursive formula

balu736 [363]

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

3 0

3 years ago