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Nikolay [14]
2 years ago
6

The owner of a bookstore ordered 75 copies of a book and paid $1,350. The owner of another bookstore also ordered the same book

and paid $1,080 for 60 copies. What is the unit price, in dollars, of the book they ordered? help
Mathematics
1 answer:
kherson [118]2 years ago
4 0

Answer:

$18

Step-by-step explanation:

I did the following expressions:

1,350 / 75 = 18

1,080 / 60 = 18

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A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.
liberstina [14]

<u>Answer:</u>

A building makes a 90^{\circ} angle with the ground .The two interior angles are 70^{\circ} and 20^{\circ}

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of 110^{\circ}

And building makes a  90^{\circ} angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.  

Now, we know that, sum of exterior angles and interior angles equals to 180^{\circ}

Here, in the case of ground and ladder, exterior angle is 110^{\circ} and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = 70^{\circ}

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = 20^{\circ}

Hence the two interior angles are  70^{\circ} and 20^{\circ}

7 0
3 years ago
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
Leto [7]
2x-4=3-x +1
<span>Simplifying 2x + -4 = 3 + -1x + 1
 Reorder the terms: -4 + 2x = 3 + -1x + 1
 Reorder the terms: -4 + 2x = 3 + 1 + -1x
 Combine like terms: 3 + 1 = 4 -4 + 2x = 4 + -1x
 Solving -4 + 2x = 4 + -1x
 Solving for variable 'x'.
 Move all terms containing x to the left, all other terms to the right.
 Add 'x' to each side of the equation. -4 + 2x + x = 4 + -1x + x
 Combine like terms: 2x + x = 3x -4 + 3x = 4 + -1x + x
 Combine like terms: -1x + x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4
 Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4
 Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4
Combine like terms: 4 + 4 = 8 3x = 8
 Divide each side by '3'. x = 2.666666667
 Simplifying x = 2.666666667</span>
8 0
3 years ago
Read 2 more answers
2. Write the following in order from least<br> to greatest:<br><br> 0.7, 0.84, 4/5, 82%, 71/100
lutik1710 [3]

Answer:

0.7, 71/100, 4/5, 82%, 0.84

4 0
3 years ago
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One angle in a triangle has a measure of 87 degrees. What can you conclude about the other two angles?
Dominik [7]

Answer:

the sum of the other two angle is 93

Step-by-step explanation:

180-87=93

6 0
3 years ago
Multiply<br> your answer should be in a monomial standard form<br><br> (7h^3)(3h^7)
KonstantinChe [14]

Answer:

21 h^10

Step-by-step explanation:

(7h^3)(3h^7)

Lets multiply

7*3  h^3 h^7

When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)

21 h^(3+7)

21 h^10

5 0
3 years ago
Read 2 more answers
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