Select the correct verbal description for the expression below. Simplify the expression.

IgorC [24]

Let "x" represent the number of units
5x = the number of tomato plants in Inessa's garden
6x = the number of tomato plants in Ralph's garden

the question says that half (1/2 x (5x)) of Inessa's tomato plants are taken from her garden and put into Ralph's garden
this means that Ralph has a total of 850 tomato plants in his garden

using all of this information, we get the following (which we have to solve):
(1/2)(5x) + 6x = 850

when we solve for "x", we find that:
"x" = 100

so, going back to the original statement, if Ralph started out with (6x) tomato plants, and "x" = 100, we have to multiply 6 by 100

doing so gives us our final answer:
Ralph had 600 tomato plants in the beginning

5 0

3 years ago

Read 2 more answers

In the past, the mean running time for a certain type of flashlight battery has been 9.7 hours. The manufacturer has introduced

Nadya [2.5K]

Answer:

Step-by-step explanation:

From the information given:

$\mathbf{H_o: \mu = 9.7 \ hours}$

$\mathbf{H_1: \mu > 9.7 \ hours}$

The type 1 error is rejecting $\mathbf{H_o}$ when

The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.

6 0

3 years ago

A basketball diamond is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catche

Tpy6a [65]

Answer:

127.28 feet

Step-by-step explanation:

Given

Shape of basketball diamond = Square

Length of a side = 90 feet

If the length of a side is 90 feet then the length of other sides is 90 feet.

By finding how far the catcher, at home plate, throw to get the runner "out", we are basically finding the distance from 2nd base to home

This means we're calculating the diagonal of the field..

(Since the field is a square, it has a right angle at 1st base)

Let the diagonal be representing by x.

From Pythagoras,

x² = 90² + 90²

x² = 8100 + 8100

x² = 16200

x = √16200

x = 127.2792206135785

x = 127.28 feet ------ Approximated

4 0

3 years ago

(High points) please solve with explanation

AysviL [449]

Answer:

The area and the perimeter of the picture are:

Area = 160 cm^2
Perimeter = 67.31 cm

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

Area of a rectangle = 16 cm * 12 cm
Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

Area of a triangle = (8 cm * 8 cm) / 2
Area of a triangle = (64 cm^2) / 2
Area of a triangle = 32 cm^2

We subtract to the found area:

Area of the picture = 192 cm^2 - 32 cm^2
Area of the picture = 160 cm^2

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem: