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3 years ago

What is the value of the expression?

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

7 0

Answer: 867

Step-by-step explanation:

You subtract what is in the parentheses then add them together

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A librarian is expanding some sections of the city library. He buys book at a special price from a dealer who charges one price

stiks02 [169]

Answer:

The special price of 1 hardcover book = $13

The special price of 1 paperback book = $6

Step-by-step explanation:

Here, let us assume the special price of 1 hardcover book = $ m

and the the special price of 1 paperback book = $ n

Now, the price of 12 hardcover books = 12 x ( Price of 1 hardcover) = 12 m

and the price of 73 paperback books = 73 x ( Price of 1 paperback) = 73 n

Also, The price paid for 12 hardcover and 73 paperback books is $594

⇒ 12 m + 73 n = 594 ....... (1)

Similarly:

The price of 11 hardcover books = 11 x ( Price of 1 hardcover) = 11 m

The price of 87 paperback books = 87 x ( Price of 1 paperback) = 87 n

Also, The price paid for 11 hardcover and 87 paperback books is $665.

⇒ 11 m + 87 n = 665 ....... (2)

Now, solving both equation for the value of m and n , we get:

12 m + 73 n = 594 x 11

11 m + 87 n = 665 x (-12)

we get: 132 m + 803 n = 6534

- 132 m - 1044 n = - 7980

adding both equation, we get:

132 m + 803 n - 132 m - 1044 n = - 7980 + 6534

or, - 241 n = - 1446

or, n = 1446/241 = 6, or n = 6

Now, Substituting n = 6 in 12 m + 73 n = 594 ,

we get: 12 m + 73 ( 6) = 594, m = 13

Hence, The special price of 1 hardcover book = $13

and The special price of 1 paperback book = $6

7 0

3 years ago

A point P has coordinates (–5, 4). What are its new coordinates after reflecting point P over the x-axis?

Bad White [126]

I'm pretty sure it's (-5, -4).
btw i hate math too :))

5 0

4 years ago

What is the area of trapezoid ABCD ? Enter your answer as a decimal or whole number in the box. Do not round at any steps. units

lidiya [134]

Answer:

37.5 sq. units.

Step-by-step explanation:

The coordinate of vertices of trapezoid ABCD are given,

From the diagram it is clear the area of ABCD = $\frac{1}{2}\times AB \times (AD + BC)$ {Since, AD ║ BC and AB is the perpendicular distance between the parallel lines }

Now, AB = $\sqrt{(- 3 - 1)^{2}+ (2 - 5)^{2} } = 5$ units

AD = $\sqrt{(- 3 - 0)^{2}+ (2 - (-2))^{2} } = 5$ units

Again, BC = $\sqrt{(1-7)^{2}+ (5 - (-3))^{2} } = 10$ units

Therefore, the area of trapezoid ABCD = $\frac{1}{2} (10 + 5) \times 5 = 37.5$ sq. units. (Answer)

We know, that the distance formula between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is

$\sqrt{(x_{1} - y_{1} )^{2} + (x_{2} - y_{2} )^{2} }$ .

7 0

3 years ago

Geometry help help help.

saveliy_v [14]

1 = 2 = 3 = 90
4 = 113
5 = 6 = 67
8 = 23
7 = 9 = 157

3 0

3 years ago

Read 2 more answers

Rational Numbers-

ioda

Answer:

-9 11/15

2. 11/24

34/45

4. -5.05

5. -0.622

Step-by-step explanation:

1. -2 4/5 - 6 2/15

convert them to a common denominator and an improper fraction:

-2 4/5= 18/5=- 54/15 -6 2/15= 92/ 15

*15 is the other denominator, so you keep the numbers in the second number the same*

subtract: -54/15- 92/15

since you are subtracting a negative number it goes farther away from zero

-146/15 or -9 11/15

2. -5/12 + 7/8

convert them to a common denominator

-5/12=- 20/48 7/8= 35/40

add: -20/48+35/40

11/24

since you are adding a negative number it goes closer to zero or past zero:

3. 3 3/5 x 2/9

convert 3 3/5 to an improper fraction: 18/5

mulitply the two denominators and the two numerators

17/5 x 2/9= 34/45

This is also the simplest form.

4. Convert to a decimal. -5 1/20

keep the -5 beacuse that is a whole number

divide 1/20 to turn it to a decimal to get 0.05

5. Which number is the largest? -0.65, -0.622, -5/8

to find this you would have to convert all numbers to either a decimal or a fraction.

5/8 is 0.625

the one closest to zero is the largest which is -0.622

5 0

2 years ago