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anzhelika [568]

2 years ago

7

The formula for glue says to add 50mL of hardener to each container of resin. How much hardener should be added to 15 containers

of resin? Write your answer in liters.

1 answer:

inessss [21]2 years ago

4 0

19x60=1140
19 containers of resin with 60 ml of hardener each so the total is 1140 ml of hardener.

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The inequality of the graph

fiasKO [112]

Answer:

$\displaystyle y > 4x - 2$

Step-by-step explanation:

Starting from the y-intercept of $\displaystyle [0, -2],$ you do $\displaystyle \frac{rise}{run}$ by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

<em>Greater</em><em> </em><em>than</em>

$\displaystyle 0 > 4[0] - 2 → 0 > -2$ ☑

<em>Less</em><em> </em><em>than</em><em> </em>

$\displaystyle 0 < 4[0] - 2 → 0 ≮ -2$

This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:

$\displaystyle y > 4x - 2$

I am joyous to assist you anytime.

3 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth

Lilit [14]

$\huge\bold{Given:}$

Length of the base = 8

Length of the hypotenuse = 17

$\huge\bold{To\:find:}$

The length of the third side '' $x$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\longrightarrow{\purple{x\:=\: 15}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + (8)² = (17)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + 64 = 289

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 289 - 64

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 225

$\longrightarrow{\blue{}}$ $x$ = $\sqrt{225}$

$\longrightarrow{\blue{}}$ $x$ = $15$

Therefore, the length of the missing side $x$ is $15$ .

$\huge\bold{To\:verify :}$

$\longrightarrow{\green{}}$ (15)² + (8)² = (17)²

$\longrightarrow{\green{}}$ 225 + 64 = 289

$\longrightarrow{\green{}}$ 289 = 289

$\longrightarrow{\green{}}$ L.H.S. = R. H. S.

Hence verified.

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}$

3 0

2 years ago

An investigator wishes to estimate the proportion of students at a certain university who have violated the honor code. having o

lesya692 [45]

<span>Asking a student if they have violated the honor code is not the proper question to ask, for a couple of reasons. First is that maybe they don't even know what the honor code is, and second maybe the students aren't being honest in fear of the reprecussions.</span>

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3 years ago

2(5x-7)=2x+10 what Is the distributive property

professor190 [17]

2(5x)2(-7)=2x+10

2(5x)= 10x
2(-7)=-14

10x-14=2x+10

Solve:
10x-2x=8x

8x-14=10

14+10=24

8x=24

24/8=3

X=3

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3 years ago

Select a card from a stack of 10, then you put the card back and select another card. Find the probability of selecting a 2, and

Goshia [24]

The probability 5 out of 10

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3 years ago

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