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stiks02 [169]
3 years ago
9

135 apples are to be packed into boxes.each box can take only 12 apples.find the number of boxes that will be fully packed and t

he number of boxes that will remain.
Mathematics
2 answers:
Ray Of Light [21]3 years ago
8 0

Our total amount of apples is 135 apples, and the amount that each box can hold is 12.

So, that means we can make an equation for this.

The equation would be 135 = 12x.

Then, to find x we can divide both sides by 12.

135/12 = 11.25

Next, we take 11 and multiply it by 12 to see how many apples it is.

11 x 12 = 132

So, 135-132 equals 3.

3 is 1/4 of 12.

That means 11 boxes will be fully packed and 1/4 of a box will be filled.

jeka943 years ago
3 0

Answer:

11 boxes will be fully packed and .25 will be remaining

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What is the equation of a line that has a slope of 0 and goes through the point (4, 10)?
kompoz [17]

Answer:

y =10

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 0 and (x0, y0) = (4, 10)

On substituting;

y - 10 = 0(x-4)

y - 10 = 0

y = 0+10

y = 10

Hence the required equation of the line is y =10

4 0
3 years ago
Solve for x.<br> 9(x + 1) = 25 + x<br> O x= 2<br> O x = 3<br> x=4<br> Ox=5
Arturiano [62]
9x+9=25+x
8x=16
X=2
Hdkpugv
3 0
3 years ago
Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided conf
givi [52]

Answer:

0.818335 ≤ p ≤ 0.86366

Step-by-step explanation:

Given that:

Sample size (n) = 1000

Positive lung cancer = 841

n(p) = 841, p(p) = 841/1000 = 0.841

n(1 - p) = 1000 - 841 = 159

1 - p = 0.159

95% confidence interval

For a 95% confidence interval : z = 1.96

P ± z√p(1-p) / n

0.841 ± 1.96 * √0.841(0.159) / 1000

0.841 - (1.96 * 0.0115636) = 0.818335344

0.841 + (1.96 * 0.0115636) = 0.863664656

0.818335 ≤ p ≤ 0.86366

4 0
3 years ago
Jan used 10
Lostsunrise [7]

Answer:

2 yards

Step-by-step explanation:

10 divided by 5 is 2

4 0
2 years ago
What is the ratio of x to y?
abruzzese [7]
\frac{3}{2} = \frac{2x}{2x+y}

From any proportion, we get another proportion by inverting the extremes (or the means):

\frac{2x+y}{2} = \frac{2x}{3} = k

so we have:

2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k

x=\frac{3}{2} k

\frac{x}{y} = - \frac{3}{2}

The corect answer is A. -3/2

or:

\frac{3}{2} = \frac{2x}{2x+y}

From any proportion, we get another proportion by inverting the extremes and the means:

\frac{2x+y}{2x} = \frac{2}{3}

We use a property of proportions:

\frac{a}{b} = \frac{c}{d}  where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),

so we have

\frac{a-b}{b} = \frac{c-d}{d}  or

\frac{a+b}{b} = \frac{c+d}{d}  (you can check this also by "the product of the extremes equals the product of the means")

\frac{2x+y}{2x} = \frac{2}{3}

\frac{(2x+y)-2x}{2x} = \frac{2-3}{3}

\frac{y}{2x} = \frac{-1}{3}

3y = - 2x

\frac{x}{y} = -\frac{3}{2}



4 0
3 years ago
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