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3 years ago

For the following statements 11 - 16 write TRUE or FALSE.

1 answer:

4 0

Answer:11 is false. Through any two points there is exactly one line. 12 is true. 13 is true. 14 is true. 15 is false. Two planes intersect at a line. 16 is false. A line and a plane would intersect at a point

Step-by-step explanation:

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There are 10 guest attending the gathering. There are 5 turkeys and each turkey weighs 4 pounds. If each person eaf the same amo

Westkost [7]

I think you have multiply 5x4 which equals 20 then 20 divided by 10 which equals 2 and that’s ur answer

5 0

3 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

<u>Solution: </u>

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

3 years ago

A rectangular field is 4 times as long as it is wide. If the length is decreased by 10 in. and the width is increased by 2in. th

Keith_Richards [23]

I think the original width was 9.6 in and the original length was 38.4 in.
Hope this will help u

5 0

3 years ago

1. A notebook costs $5 more than a folder. Greg purchased 3 notebooks and 2 folders and paid a total cost $30. What is the cost

stiv31 [10]

Answer
Notebook each =$4
Folder each = $9

First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30

Because we know from the first equation
f=n+5, we can substitute that into the second equation for f

3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4

Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9

We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct

8 0

2 years ago

14 written as a decimal is ?

vitfil [10]

I mean it would be 14.0 because it’s a whole number unless you are getting into 14 tenths or 14 hundredths then it’s like 0.14 or 0.014.

6 0

4 years ago

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