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NeTakaya
3 years ago
7

Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?

Mathematics
1 answer:
Brut [27]3 years ago
5 0

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▹ Answer

<em>1/18 of a gallon of juice in each cup.</em>

▹ Step-by-Step Explanation

Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.

\frac{4}{9} / 8

Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:

\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}

Our final answer will be 1/18 of a gallon of juice in each cup.

Hope this helps!

CloutAnswers ❁

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These 3 questions pleaseeee!
Sergio039 [100]

Answer:

1. m<T =72 , m<U =54

2. EF= 18 in. , m<F=134'

3. x=4

Step-by-step explanation:

1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T

180 - 54 - 54 = 72

2. ef = gf

180 - 23 - 23 = 134

3. since bottom 2 angles are = , the 2 sides are also =

see attachment for work

5 0
3 years ago
Write an equation of a line that is perpendicular to the line y=2/3x and passes through origin
sesenic [268]

keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?

\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}

so we're really looking for the equation of a line whose slope is -3/2 and runs through (0,0).

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{0})\implies y=-\cfrac{3}{2}x

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3 years ago
The quotient of two negative integersis
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6 0
4 years ago
Read 2 more answers
A piece of timber is x cm long. 7 cm is cut off. How much is left?
anygoal [31]

Answer:

x-7>0

Straight answer: x-7

Step-by-step explanation:

Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0

3 0
3 years ago
Which of the following statements is not​ true? A. If the probability of an event occurring is​ 1.5, then it is certain that eve
yawa3891 [41]

Answer:

Therefore, we conclude that the statement in (A) is incorrect.

Step-by-step explanation:

We have the following sentences:

A) If the probability of an event occurring is​ 1.5, then it is certain that event will occur.  

B) If the probability of an event occurring is​ 0, then it is impossible for that event to occur.

We know that the range of probability of an event occurring is in the segment [0, 1]. In statement under (A), we have the probability that  is equal to 1.5.

Therefore, we conclude that the statement in (A) is incorrect.

8 0
4 years ago
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