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3 years ago

Simplify each expression 1. 5 + 3 (x - 5) + 7 2. 1/2+2/3(y- 6)

Mathematics

2 answers:

exis [7]3 years ago

8 0

Answer:

3(x-1)

Step-by-step explanation:

12+3x-15

-3+3x

3(x-1)

kirza4 [7]3 years ago

8 0

I agree with the top comment
3(x-1)

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Explain Washington's choices regarding the Battle of Trenton and why he needed to make such a tough choice

evablogger [386]

Answer:

They gave Americans confidence that victory over Britain was possible. You are welcome. :)

Step-by-step explanation:

7 0

3 years ago

A closed can, in a shape of a circular, is to contain 500cm^3 of liquid when full. The cylinder, radius r cm and height h cm, is

Gemiola [76]

To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: $V= \pi r^2h$
where
$V$ is the volume
$r$ is the radius
$h$ is the height

We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words: $V=500cm^3$ . We also know that the radius is r cm and height is h cm, so $r=rcm$ and $h=hcm$ . Lets replace the values in our formula:
$V= \pi r^2h$
$500cm^3= \pi (rcm^2)(hcm)$
$500cm^3=h \pi r^2cm^3$
$h= \frac{500cm^3}{ \pi r^2cm^3}$
$h= \frac{500}{ \pi r^2}$

Next, we are going to use the formula for the area of a cylinder: $A=2 \pi rh+2 \pi r^2$
where
$A$ is the area
$r$ is the radius
$h$ is the height

We know from our previous calculation that $h= \frac{500}{ \pi r^2}$ , so lets replace that value in our area formula:
$A=2 \pi rh+2 \pi r^2$
$A=2 \pi r(\frac{500}{ \pi r^2})+2 \pi r^2$
$A= \frac{1000}{r} +2 \pi r^2$
By the commutative property of addition, we can conclude that:
$A=2 \pi r^2+\frac{1000}{r}$

7 0

4 years ago

Given sec theta=-4/3 and 90°

hoa [83]

Answer:

Option A.

Step-by-step explanation:

It is given secθ = - $\frac{4}{3}$

then cosθ = - $\frac{3}{4}$

Now we know the identity

sinθ = $\sqrt{1-cos^{2}\theta }$

= $\sqrt{1-(-\frac{3}{4} )^{2}}$

= $\frac{\sqrt{7} }{4}$

Now sin2θ = 2sinθcosθ

Now we put the values of cosine and sine in the formula

sin2θ = 2×(- $\frac{3}{4}$ )( $\frac{\sqrt{7}}{4}$ )

= - $\frac{3\sqrt{7}}{8}$

Therefore, option A. is the answer.

3 0

3 years ago

A child from a class of 30 students is chosen to pick one of five prizes. How many outcomes are there

Mamont248 [21]

Answer: 5?

Step-by-step explanation:

there are 5 prizes to be chosen from.

4 0

3 years ago

Consider the following switch statement where x is an int. If x is currently equal to 5, what will the value of x be after the s

Sphinxa [80]

Answer:

x=11

Step-by-step explanation:

The switch case works like an if or if-else, where each of the cases are conditionals. Here we have 7 cases and we know that our variable begins with x=5.

First, it enters to case 5 because of x=5, so x+=3, this means we add 3 to the actual value of the variable ⇒ x=8.

At this point, if there's not break the program continues to the next case, executing the statements until a break or the end on the switch is reached.

In this order, the x = 8 and next we add 1 (case 6) ⇒ x=9. We add 2 (case 7) x+=2 ⇒ x=10. Then we rest 1 (case 8) ⇒ x=9 and then we add 1 again as in case 9 ⇒ x=11.

3 0

3 years ago