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3 years ago

Is 9/36 a rational number?

Mathematics

1 answer:

AURORKA [14]3 years ago

5 0

Answer:

yes, it is

Step-by-step explanation:

a rational number is any number that can be expressed as a quotient or fraction

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Tom has a large photo he wants to shrink to wallet-sized. It's width is 20 centimeters and it's len is 30 centimeters. If he wan

dsp73

We can use ratios, in other words, if one part of the photo is changed x times, how many times does the other part change?

We can set up the proportion as :
width 1 : length 1 = width 2 : length 2

20 : 30 = 5 : x

We do inverse multiplication, or multiply the outer with outer and inner with inner (W1 * L2 and L1 * W2)

20*x = 30*5
20x = 150
Divide all by 10
2x = 15
Divide all by 2 to isolate x
x = 15/2
x = 7.5cm

5 0

3 years ago

Carol went on a holiday to Bristol.

Leviafan [203]

Answer:

658.91$

Step-by-step explanation:

Find the total cost

flight cost 397$

staying at the hotel for 6 night cost 6 x 28.43£

= 170.58£ = 233.69$

breakfast for 4 morning cost 4 x 5.15£= 20.6£

= 28.22$

Total cost is 397$+233.69$+28.22=658.91$

5 0

2 years ago

The table represents the function f(x).

Irina18 [472]

Step 1

Find the slope of the function f(x)

we know that

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

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

Let

$A(-6,0)\\B(0,4)$

substitute

$m=\frac{4-0}{0+6}$

$m=\frac{4}{6}$

$m=\frac{2}{3}$

Step 2

Find the y-intercept of the function f(x)

The y-intercept is the value of the function when the value of x is equal to zero

in this problem the y-intercept of the function is the point $B(0,4)$

the y-intercept is equal to $4$

Step 3

Verify each case

we know that

the equation of the line into slope-intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

case A) $f(t)=t+4$

In this case we have

$m=1\\y-intercept=4$

therefore

the function of case A) does not have the same slope as the function f(x)

case B) $f(t)=t-6$

In this case we have

$m=1\\y-intercept=-6$

therefore

the function of case B) does not have the same slope and y-intercept as the function f(x)

case C) $f(t)=\frac{2}{3}t+4$

In this case we have

$m=\frac{2}{3}\\y-intercept=4$

therefore

the function of case C) does have the same slope and y-intercept as the function f(x)

case D) $f(t)=\frac{2}{3}t+6$

In this case we have

$m=\frac{2}{3}\\y-intercept=6$

therefore

the function of case D) does not have the same y-intercept as the function f(x)

therefore

the answer is

$f(t)=\frac{2}{3}t+4$

4 0

3 years ago

Read 2 more answers

M= -(4+ m) + 2 m= what’s m?

MakcuM [25]

Answer:

m=-1

Step-by-step explanation:

let me know i can help more snap me

4 0

3 years ago

Which applies the power of a power rule properly to simplify the expression (710)5? (710)5= 710 ÷ 5 = 72 (710)5= 710 - 5 = 75 (7

Sever21 [200]

We are asked in this problem to determine the condensed form of the expression (7^10)^5. we apply here the power rule in which exponents are multiplied to each other to get the expanded form. In this case, we multiply 10 by 5 that is a total of 50. hence the answer to this problem is D. 7^50

7 0

3 years ago