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Allushta [10]
3 years ago
12

Solve each inequality and give your answers in interval notation:

Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

Answer: for |9x – 11 < 4

7/9<x<5/3

Step-by-step explanation:

interval notation:

(7/9 , 5/3)

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a painter bought 8 gallons of paint just enough to cover 2 rooms. One room is twice the size of the other and requires only 2 co
e-lub [12.9K]
So, he's got 8 gallons of paint, to paint the two rooms, of the two rooms, one is twice as big as the other

now, "x" is how many gallons to paint the larger room with only one coat, however, the larger room uses 2 coats, so, the larger room uses 2x of paint
now, the client declined to paint the smaller one

so hmmm as I read... well, we dunno how many coats will go to the smaller room for one, we know the larger will use 2 coats, or 2x.. if we assume the smaller room was going to use say 1 coat or 1/2x

then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one

so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons

thus, with those assumptions, that the small room will use only 1 coat
\bf \cfrac{1}{2}x+2x=8\implies \cfrac{5x}{2}=8\implies x=\cfrac{16}{5}
that's who many gallons are needed for 1 coat in the larger roomrecall "x" is 1coat for the larger room

now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then

\bf 2x\implies 2\cdot \cfrac{16}{5}\implies \cfrac{32}{5}\implies 6.4\ gallons

he bought 8 gallons, 8 - 6.4, he's got left 1.6 gallons
3 0
3 years ago
Read 2 more answers
5 times the sum of 40 and 80. what is the numerical expression that would represent the phrase?
vlabodo [156]
<h2>Answer:</h2>

<u>The expression is</u><u> 5(40+80)</u>

<h2>Step-by-step explanation:</h2>

The sum of 40 and 80 can be written as

(40+80)

and when we take the 5 times of the sum

we can write as

5(40+80)

3 0
3 years ago
Rewrite the equation 6x + 7y = 14 into slope-intercept form (y = mx + b)
Tamiku [17]

rearrange into the form y = mx + b

subtract 6x from both sides of the equation

7y = - 6x + 14

divide all terms by 7

y = - \frac{6}{7} x + 2 → in slope- intercept form


6 0
3 years ago
Read 2 more answers
I need help plz 10 points
Andreas93 [3]

Answer:

1. A

2. G

Step-by-step explanation:

1.

In 5 and 6, you see descriptions about leaves and their characteristics. Leaves are not the speaker, the person referenced in the poem is. Since leaves are being described and not the speaker, this means it's describing the setting.

<em>The</em><em> </em><em>answer</em><em> </em><em>would</em><em> </em><em>be</em><em> </em><em>A</em><em>.</em>

2.

You see the herons being described as 'blowing like smoke'. Smoke is swift and fast-moving, so it wouldn't be in the exact same place as before. This fits the description of <em>G</em>, which would be "swift and fleeting".

<em>The</em><em> </em><em>answer</em><em> </em><em>would</em><em> </em><em>be</em><em> </em><em>G</em><em>.</em>

8 0
3 years ago
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True or False? The number 0.8 can be written as 8/10, so it is an irrational number
lesya692 [45]
The answer would be false because the number .8 can be 8/10 but it is rational and you can understand that. It would not be an irrational number.
3 0
3 years ago
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