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3 years ago

Identify the value of x that makes each pair of ratios equivalent.

Mathematics

1 answer:

VladimirAG [237]3 years ago

3 0

Answer:

Step-by-step explanation:

Start by writing the ratios equal to each other since they are equivalent.

$\frac{21}{x}=\frac{7}{10}$

Notice if you divide 21/3 = 7. Since they are equa then x/3=10. What number divided by 3 equals 10? x=30

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Please answer it quickly... i will give brianliest

miskamm [114]

Answer:

2 and - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 6x + 9 ( divide all terms by 3 )

y = 2x + 3 ← in slope- intercept form

with slope m = 2

(i)

Parallel lines have equal slopes, thus

the slope of line t is 2

(ii)

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$ , thus

the slope of line r is - $\frac{1}{2}$

3 0

3 years ago

Use complete sentences to describe why Set A = {x|x is an even whole number between 0 and 2} = ∅.

dolphi86 [110]

Answer:

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Step-by-step explanation:

5 0

3 years ago

A circle has a radius of 3 feet. What is the circumference of a bigger circle if the scale factor of the smaller to bigger is 4:

Vaselesa [24]

Big/small=4/7

r1/r2=4/7 where r1, r2 are radius of a big and small circles respectively

r1/3=4/7

r1=12/7

circumference of a big circle is2πr1=2π*12/7=24π/7 cm

7 0

3 years ago

The sum of 1/6,2/3, and 1/4 is

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0

3 years ago

Read 2 more answers

B(n)=-1(2)n-1 what's the 5th term in the sequence

Katena32 [7]

B5 = -1 x (2 ^ 5 - 1)
B5 = -1 x (2 ^ 4)
B5 = -1 x 16
B5 = -16

8 0

3 years ago