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Leni [432]
3 years ago
10

Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequa

lity shows n, the maximum number of notebooks she can buy with her money?
1.6 n greater-than-or-equal-to 56
1.6 n less-than-or-equal-to 56
56 n less-than-or-equal-to 1.6
56 n greater-than-or-equal-to 1.6
Mathematics
1 answer:
Semenov [28]3 years ago
8 0
The answer will be B; this is because the cost of each notebook is equivalent to 1.6, or is less than or equal to $56 as we are currently unsure of the value of n (number of notebooks) which means it may cost exactly $56 or less than that as she only has $56 to buy the notebooks to donate to her school
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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

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Answer: 10 cups of sugar

Step-by-step explanation:

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