1) yes
2) x=-4,y=-7
3) x= -3, y=4
4) x= -1, y=2
5) x= -5, y=-8
Answer:
(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))
Step-by-step explanation:
Base of the Pyramid = 8 Inches
Height of the Triangular Face = 6.9 Inches
In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.
Since the four triangles are congruent:
Lateral Surface Area = 4 X Area of One Triangle
Area of a Triangle = 
Area of one Triangular Face 
Therefore:
Lateral Surface Area 
Therefore, Talia is correct.
That's a question about percentage.
One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.
Examples:
- 90% is equivalent to 0,90.
- 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
- 13.17% is equivalent to 0.1317.
- 245% is equivalent to 2.45.
If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.
Examples:
- 55.90% of 200 is equal to:

- 360% of 88 is equal to:

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.
107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.
We know that
, therefore, the total cost of the phone after tax is $246.1.
I hope I've helped. :D
Enjoy your studies. \o/
Answer:
22.75 minutes or 22 minutes 45 seconds
Step-by-step explanation:
Okay, this is a working together question. Let’s walk through it together!
Firstly, let’s say the total volume of the swimming pool is x sq.meters
Now, the rate of the smaller hose would be x/65 while that of the larger will be x/35
Now, their combined rate would be x/65 + x/35 = 100x/2275
Now, since the volume is x, the time taken is simply, the volume divided by the joint rate. That is mathematically equal to x divided by 100x/2275
x * 2275/100x = 2275/100 = 22.75 minutes or 22 minutes 45 seconds
Answer:
<h2><u>b = 2 or b = -2</u></h2>
Explanation:
|4b + 4| = |2b + 8|
<em>Solve absolute value</em>
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 <em>(Possibility 1)</em>
4b + 4 − 2b = 2b + 8 − 2b <em>(Subtract 2b from both sides)</em>
2b + 4 = 8
2b + 4 − 4 = 8 − 4 <em>(Subtract 4 from both sides)</em>
2b = 4
2b / 2 = 4 / 2 <em>(Divide both sides by 2)</em>
b = 2
4b + 4 = −(2b + 8) <em>(Possibility 2)</em>
4b + 4 = −2b − 8 <em>(Simplify both sides of the equation)</em>
4b + 4 + 2b = −2b − 8 + 2b <em>(Add 2b to both sides)</em>
6b + 4 = −8
6b + 4 − 4 = −8 − 4 <em>(Subtract 4 from both sides)</em>
6b = −12
6b / 6 = -12 / 6 <em>(Divide both sides by 6)</em>
b = -2
<h2><u>b = 2 or b = -2</u></h2>