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3 years ago

Can someone please help?

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

8 0

It’s the third one. .

mylen [45]3 years ago

7 0

$9 \times \frac{1}{4} = \frac{9}{4}$ ✅

<h3>Step-by-step explanation:</h3>

Option A⤵

$5 \times \frac{1}{2} = \frac{1}{10} \\ ⇢ \frac{5}{2} ≠ \frac{1}{10}$

Option B⤵

$4 \times \frac{1}{3} = \frac{4}{12} \\ ⇢ \frac{4}{3} ≠ \frac{4}{12}$

Option C⤵

$9 \times \frac{1}{4} = \frac{9}{4} \\ ⇢ \frac{9}{4} = \frac{9}{4}$

Option D⤵

$8 \times \frac{1}{ 5} = \frac{9}{5} \\ ⇢ \frac{8}{5} ≠ \frac{9}{5}$

Hence, option C is correct.

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4 years ago

Which shows the graph of the solution set of 3y – 2x > –18?

nikdorinn [45]

Answer:

Graph of the inequality 3y-2x>-18 is given below.

Step-by-step explanation:

We are given the inequality, 3y-2x>-18

Now, using the 'Zero Test', which states that,

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So, after substituting (0,0) in 3y-2x>-18, we get,

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Thus, the solution region is towards the origin.

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3 years ago

Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5

MatroZZZ [7]

Step-by-step explanation:

Let's make the number we're finding to be $a$ . So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be $\frac{a}{4} +12\\$ . It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be $\frac{a}{3} -5\\$ . Since they are the same, we have the equation below.

$\frac{a}{4} +12 = \frac{a}{3} -5\\$

All we have to do now is to find $a$ .

$\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204$