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2 years ago

Divide 42 in a ratio of 1:2:3?

1 answer:

6 0

Ratio 1:2:3 means we have x, 2x and 3x as the three parts

x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7

Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21

Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer

If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3

As a check,
7+14+21 = 21+21 = 42
so it works out

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Please help

Firdavs [7]

Answer:

(–10, –2), (6, 6)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Verify each case

case 1) (5, –4), (–2, 1)

substitute in the formula

$m=\frac{1-(-4)}{-2-5}$

$m=\frac{1+4}{-2-5}$

$m=\frac{5}{-7}$

$m=-\frac{5}{7}$ ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

$m=\frac{10-(-10)}{2-6}$

$m=\frac{10+10}{2-6}$

$m=\frac{20}{-4}$

$m=-5$ ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

$m=\frac{6-(-2)}{6-(-10)}$

$m=\frac{6+2}{6+10}$

$m=\frac{8}{16}$

$m=0.5$ ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

$m=\frac{6-(-1)}{-6-5}$

$m=\frac{6+1}{-6-5}$

$m=\frac{7}{-11}$

$m=-\frac{7}{11}$ ----> the slope is negative

3 0

2 years ago

Is -33 irrational or rational?

vladimir2022 [97]

-33 is a rational number. It is an integer with a definitive stopping point (by this I mean it is not a decimal number with endless repeating digits).

4 0

3 years ago

Use the inequalities to describe the shaded area on the grid

raketka [301]

The shaded area would be 2 because there is a whole square shaded in the the other two are 1/2 so if you add 1/2 together with another 1/2 plus the whole shaded square you would get two.

At least that’s what I understood from the question

8 0

2 years ago

Read 2 more answers

An angle measures 3pi/4 radians. What is this angle's measure, in degrees?

Annette [7]

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × $\frac{180}{\pi }$ , so