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3 years ago

Solve the inequality! PLEASE HELP I’LL MARK BRAINLIEST!!

Mathematics

1 answer:

ratelena [41]3 years ago

4 0

Answer:

1.) X = 7 and Y = 5

2.) 5 streamers

Step-by-step explanation:

According to the question, you are given the inequality equation of

2.5x + 3.5y < = 35

Since the equation is less than or equal to, than means that the equation can be 2.5x + 3.5y = 35

According to the graph,

X = 14 and Y = 10

Substitute both into the equation if it will not exceed 35

2.5(14) + 3.5(10) = 35

35 + 35 = 70. This is wrong.

Take the half value of both x and y and substitute again

X = 7 and Y = 5

2.5(7) + 3.5(5)

17.5 + 17.5 = 35

Therefore, she can buy 7 helium - filled balloons and 5 streamers

2.) If Julie buy 6 ballons, substitute x for 6 in the inequality equation to find y

2.5(6) + 3.5y < = 35

Open the bracket

15 + 3.5y < = 35

Collect the like terms

3.5y <= 35 - 15

3.5y <= 20

Make y the subject of formula

Y <= 20/3.5

Y < = 5.7

We can therefore conclude that she can buy 5 streamers. Or 5 1/2 if possible.

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4 years ago

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2 years ago

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Find the value of x which satisfies the following equation. log2(x−1)+log2(x+5)=4

weqwewe [10]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: x = 3$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: log_{2}(x - 1) log_{2}(x + 5) = 4$

$\qquad \tt \rightarrow \: log_{2} \{(x - 1)(x + 5) \} = 4$

[ log (x) + log (y) = log (xy) ]

$\qquad \tt \rightarrow \: ( x - 1)(x + 5) = {2}^{4}$

$\qquad \tt \rightarrow \: {x}^{2} + 5x - x - 5 = 16$

$\qquad \tt \rightarrow \: {x}^{2} + 4x - 5 - 16 = 0$

$\qquad \tt \rightarrow \: {x}^{2} + 4x -21 = 0$

$\qquad \tt \rightarrow \: {x}^{2} + 7x - 3x - 21 = 0$

$\qquad \tt \rightarrow \: x(x + 7) - 3(x + 7) = 0$

$\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0$

$\qquad \tt \rightarrow \: x = - 7 \: \: or \: \: x = 3$

The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.

$\qquad \tt \rightarrow \: x = 3$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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2 years ago

What’s 4x + 7y + 4 + 5x + y

fomenos

Hello!

Okay, so first we need to add like terms... so first, add the terms with the same variables. That gives us:

9x + 7y + 4 + y

Now add 7y and y

That gives us:

9x + 8y + 4

This can't be added anymore... this is as far as we can go because they are no longer like terms.

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3 years ago

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There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot

Degger [83]

The number of bottles in a full box is 12.

Explanation

Suppose, the number of bottles in a full box is $x$

So, the number of bottles in three full boxes $=3x$

Now, two more boxes are added, both of which have one fewer bottle than the other three. So, the number of bottles in these two boxes $= 2(x-1)$

As there were 9 bottles initially and now there are 67 bottles in the fridge, so the equation will be....

$9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12$

Thus, the number of bottles in a full box is 12.

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3 years ago