Round to the nearest place value and write in scientific notation 1,402,941,487

Three shirts and two pairs of pants cost $40. Four shirts and one pair of pants cost $37.50. How much does one shirt cost?

taurus [48]

Answer:

d, 700

Step-by-step explanation:

it's the only one that makes sense

4 0

3 years ago

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

A candidate took a phone poll of 110 people. Of the 110 people polled, 87 said they would vote for the other person. There are 9

SSSSS [86.1K]

Option B

7569 number of people are going to vote for the other candidate

<em><u>Solution:</u></em>

Given that candidate took a phone poll of 110 people

Of the 110 people polled, 87 said they would vote for the other person

There are 9570 people in the district

You can set up this problem like a proportion

Let "x" be the number of people who would vote for the other candidate

$\frac{87}{110} = \frac{x}{9570}$

To solve proportions, you cross-multiply. This means you multiply the numerator by the other denominator, and the denominator by the other numerator

$87 \times 9570 = 110 \times x$

832590 = 110x

x = 7569

Thus 7569 number of people are going to vote for the other candidate

6 0

3 years ago

Read 2 more answers

I Need help with question 21 and 22 !

USPshnik [31]

11) First, add 74 and 43.

74+43=117

Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.

180-117=63

Angle 1 = 63 degrees

Angle 2 also equals 63 degrees, because they are vertical angles.

Angle 2= 63 degrees

Now, add 63 and 79

63+79=142

Subtract 142 from 180

180-142=38

Angle 3 = 38 degrees

12)

First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.

180-56=124

Angle C=124 degrees

Now, add 124 and 20

124+20=144

Finally, subtract 144 from 180

180-144=36

The measure of angle A is 36 degrees

Hope this helped! :)

7 0

3 years ago

How does moving the place of a digit change its value

AlexFokin [52]

In the familiar decimal number system that we use every day, moving the place
of a digit changes its value by a power of 10 .

In a system of numbers to any other base, moving the place of a digit changes
its value by a power of whatever the base of that number system is.

6 0

3 years ago