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3 years ago

$4.30 40% discount 6% tax

Mathematics

2 answers:

alex41 [277]3 years ago

7 0

The total would be $2.73.

Illusion [34]3 years ago

7 0

$ 2.73 is the answer

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Annabelle the ant and Archibald the ant are on a large coordinate grid. Annabelle is at (3,4) and Archibald is at (33,44). If bo

kvasek [131]

Part a) If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?

Let

A(3,4) B(33.44)

we know that

If both ants skate directly towards each other, starting at the same time and skating the same speed

then

the coordinates of their meeting place is the midpoint AB

Find the midpoint AB

in the x-coordinate

(3+33)/2=18

in the y-coordinate

(4+44)/2=24

the midpoint AB is (18,24)

therefore

the answer Part a) is

the coordinates of their meeting place is (18,24)

Part b) How far will each ant skate?

Find the distance AB

$d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}$

substitute the values

$dAB=\sqrt{(33-3)^{2}+(44-4)^{2}}$

$dAB=\sqrt{2,500}$ units

$dAB=50$ units

Find the half distance AB

50/2=25 units

therefore

the answer part b) is

Each ant will skate 25 units

7 0

3 years ago

Which expression can be used to fine the slope of a line containing the points (-3,2) and (7,-1)

Charra [1.4K]

Hello there! you can use the expression $\frac{ y_{1}-y_{2}}{x_{1}-x_{2} }$ !

To find slope, subtract the y values over the x values.

In this case:

2 - - 1 / - 3 - 7

3 / -10

So, -3/10 would be the slope of these points.

Hope this helps, have a great day!

7 0

3 years ago

Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, a

Keith_Richards [23]

Answer:

(a) 4/9

(b) 19/27

Step-by-step explanation:

The probability of each die turning up red or not turning red are:

$P(R) =\frac{2}{6}= \frac{1}{3}\\P(O) =\frac{4}{6}= \frac{2}{3}$

(a). Exactly one face up is red.

The odds of only the first die being red are:

$P(A=R) =\frac{1}{3} *\frac{2}{3}* \frac{2}{3} \\P(1=R) =\frac{4}{27}$

The same odds are valid for only the second or only the third die being red. Therefore, the probability that exactly one die turns up red is:

$P(R=1) = 3*\frac{4}{27}\\P(R=1) = \frac{4}{9}$

(b). At least one face up is red.

The probability that at least one die turns up red is the sum of the probabilities of exactly one (found in the previous item), two or all dice turning up red.

Following the same logic as in the previous item, the probability that exactly two dice turn up red is:

$P(R=2) = 3*(\frac{1}{3}*\frac{1}{3}*\frac{2}{3})\\P(R=2) = \frac{2}{9}$

The probability that all die turn up red is:

$P(R=3) = \frac{1}{3}*\frac{1}{3}*\frac{1}{3}\\P(R=3)=\frac{1}{27}$

Thus, the probability that at least one die turns up red is:

$P= P(R=1)+P(R=2)+P(R=3) = \frac{4}{9}+\frac{2}{9}+\frac{1}{27}\\P=\frac{19}{27}$

4 0

3 years ago

Help me on this i hate math and i don't understand bc i have to do this ASAP

Leto [7]

Scholar #2 is correct. You take 15=-3m-18+5m-7 and combie like terms. Which will leave you with 15=2m-25. You will simplify from there, getting 20=m.

7 0

3 years ago

Read 2 more answers

Pre-cal help!! (See Attachment)

MAVERICK [17]

$2cos(x) + 1 = 0$

$cos(x) = -\frac{1}{2}$

The basic angle for 1/2 is 60°, and cosines are negative in the first and third quadrant.

So, you take 180° - 60° = 120° to get the angle in the first quadrant, and 180° + 60° = 240° to get the angle in the third quadrant.

Since only 120° is an option, the answer is B.

7 0

3 years ago