Answer:
Hope this isn't too late. The Answer Is D.
Step-by-step explanation:
The graph line becomes dotted when the inequality is less than or greater than, never less than or equal to./ greater than or equal to. This leaves to choices: B and D. D is the correct answer because the way the shading is going. because the shading is going up that means that the inequality is greater than.
Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
Answer:
3 students got a perfect score.
Step-by-step explanation:
Total number of students in Mrs. Grape's class = 90
Number of students who earned an A = 3/10 of 90
= 
= 27 students
Out of 27 students the number of students who got perfect score
= 
= 3 students
3 students got a perfect score.
Answer:
The answer is D.
Step-by-step explanation:
Using Pythogaras' Theorem to find the value of x. The formula is, hypo.² = side² + side² :
side = 8 units
side = 12 ÷ 2
= 6 units
hypo.² = 8² + 6²
= 100
hypo. = √100
= 10
Answer:
$13.77 per person in the family
Step-by-step explanation:
Cost of the meal = $54.65
Sales tax rate = 8%
Sales tax amount = 8% of $54.65
= 8/100 × 54.65
= 0.08 × 54.65
= $4.372
Tip = 18% of $54.65
= 18/100 × 54.65
= 0.18 × 54.65
= $9.837
Total cost of the dinner = Cost of the meal + Sales tax amount + Tip
= $54.65 + $4.372 + $9.837
= $68.859
There are 5 people in the Holcombe family
What was the cost per person for the meal, including sales tax and tip?
cost per person for the meal, including sales tax and tip = Total cost of the dinner / total number of people in the family
= $68.859 / 5
= $13.7718
Approximately
$13.77 per person in the family
