Clare has $150 in her bank account. She buys a bike for $200 . What is clares account balance now

Translate the triangle left 1 units and up 5 units. What are the coordinates of point C after the translation?

Step2247 [10]

Answer:

b++nfr

Step-by-step explanation:

jjkiki

5 0

3 years ago

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The weight of 1000 identical samples of a substance is 1 pound. What is the weight of 100 samples?

alex41 [277]

The answer is 0.1 lbs. Or 1/10 lbs.

Hope this helps!

8 0

2 years ago

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Please help me I’m in a hurry

Sladkaya [172]

Answer:

120

Step-by-step explanation:

4 0

3 years ago

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Determine whether a figure with the given vertices is a rectangle using the Distance Formula.

Alex Ar [27]

Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

$A(4, -7), B(4, -2), C(0, -2), D(0, -7)$

we know that

the formula to calculate the distance between two points is equal to

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

step 1

Find the length of the sides

Find the distance AB

substitute the values

$d=\sqrt{(-2+7)^{2}+(4-4)^{2}}$

$d=\sqrt{(5)^{2}+(0)^{2}}$

$AB=5\ units$

Find the distance BC

substitute the values

$d=\sqrt{(-2+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

Find the distance CD

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-0)^{2}}$

$d=\sqrt{(-5)^{2}+(0)^{2}}$

$CD=5\ units$

Find the distance AD

substitute the values

$d=\sqrt{(-7+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$AD=4\ units$

Compare the length sides

AB=CD

BC=AD

therefore

Opposite sides are congruent

step 2

Find the length of the diagonals

Find the distance AC

substitute the values

$d=\sqrt{(-2+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(5)^{2}+(-4)^{2}}$

$AC=\sqrt{41}\ units$

Find the distance BD

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$BD=\sqrt{41}\ units$

Compare the length of the diagonals

AC=BD

therefore

Diagonals are congruent

The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent

8 0

3 years ago

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A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; The

alukav5142 [94]

Answer:

First, let's write all the costs:

$4,000 in advertising.

$10,000 in the recording.

$5,50 per cd.

Then we have that the cost will be:

C(x) = $4,000 + $10,000 + $5.50*x

where x is the number of CDs distributed.

C(x) = $5.50*x + $14,000.

Now, they win $7.20 per cd, so the tota wins are:

W(x) = $7.20*x

The profit will be the difference between the total win and the cost:

p(x) = $7,20*x - $5.50*x - $14,000 = $1.7*x - $14,000

Now with this function, we can calculate the number of CDs that the company needs to sell in order to break even, that is when the profit is exactly zero.

P(x) = $0 = $1.7*x - $14,000

$1.7*x = $14,000

x = $14,000/$1.7 = 8,235.3 CDs, that we should round up to 8,236.

This means that the company must sell more than 8,236 if they want to have a positive profit.

8 0

3 years ago