All categories

2 years ago

Cross multiply to determine whether the fractions are equivalent.

Mathematics

1 answer:

cricket20 [7]2 years ago

5 0

Answer:

Solution

5/6=7/5

5×5=7×6

25=42

Your answer is 25=42.

You might be interested in

If y varies directly as x, and y =6 when x =10, find x when y=18

bonufazy [111]

Answer:

X=30

Step-by-step explanation:

y=kx

6=10k

k=0.6

y=0.6x

18=0.6x

X=18/0.6

x=30

7 0

3 years ago

A shop has this offer.

BARSIC [14]

49x3= 147 so 10 reduction will make tim spend 137. 49x5= 245 so 20 reduction will make Craig spend 225. 225-147= 78 so Craig spends 78£ more than tim. All the offers state “X or Y” meaning it’s one or the other hence the ‘or’. Atleast that’s my interpretation of it.

8 0

2 years ago

If Y varies directly as X and Y= 79 when X= 49, Find Y if X = 9

ryzh [129]

Answer:

y = 14.5

Step-by-step explanation:

given that y varies directly as x

mathematically,

y ∝ x

y = kx .............................................. where k is the constant of proportionality.

k = y /x

given that

y = 79

x = 49

k = 79/49

k = 1.61

to find y when x = 9

from

y = kx

y = 1.61 × 9

y = 14.5

therefore the value of y when x = 9 in ths variation is evaluated to be equals to 14.5

7 0

3 years ago

What is the slope of a line that is perpendicular to the graph of y=-3x?

lutik1710 [3]

<span>y=-3x has slope = -3
</span><span>
perpendicular lines, slope is opposite and reciprocal
so slope of </span>perpendicular = 1/3

answer
1/3

5 0

3 years ago

Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

3 0

3 years ago