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1 year ago

There are 3 1/3 pounds of bricks in a bag. Each brick weighs 5/6 of a pound. How many bricks are in the bag?

1 answer:

5 0

This is a division problem. We need to divide the pounds in a bag by the weight of 1 brick in order to find the number of bricks in a bag.

3 1/3 / 5/6

---Make the mixed number an improper fraction

10/3 / 5/6

---Multiply the first fraction (10/3) by the reciprocal of the second fraction (5/6). The reciprocal is essentially the opposite and is found by "flipping" the fraction.

10/3 x 6/5

60 / 15

Answer: 4 bricks are in the bag

Hope this helps!

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CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$

Hence we start from determining slope of AB

slope is given as

$m= \frac{y_2-y_1}{x_2-x_1}$

$m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1$

Hence $mAB=1$

There fore $mCD=-1$

(∵ Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

$m=\frac{y-y_1}{x-x_1}$

$-1=\frac{y-12}{x-5}$

$-x+5=y-12$

$y=-x+17$

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

$0=-x+17$

$x=17$

Hence the x intercept is 17

8 0

2 years ago

I need help ASAP because I need done before 4:00pm

Naddik [55]

Answer:

the 13th one is 115

Step-by-step explanation:

8 0

2 years ago

A 16 ounce bag of cereal cost $2.88 what is the cost per ounce

BabaBlast [244]

Answer: 0.18 (18 cents) per ounce

Step-by-step explanation:

2.88/16 = 0.18

5 0

2 years ago

in one hour thirty two cars pass through a particular intersection at the same rate how long would it take for 96 cars to pass t

USPshnik [31]

Answer:

72 hours

Step-by-step explanation:

1hour30minutes times 48 cars (since TWO pass every 1:30, not one)

equals 72 hours, or three days

3 0

2 years ago

Ndicate the equation of the line through (2, -4) and having slope of 3/5.

lord [1]

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-4)=\cfrac{3}{5}(x-2) \implies y+4=\cfrac{3}{5}x-\cfrac{6}{5} \\\\\\ y=\cfrac{3}{5}x-\cfrac{6}{5}-4\implies \implies y=\cfrac{3}{5}x-\cfrac{26}{5}$

7 0

2 years ago

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