Answer:
x = 1 1/4
Step-by-step explanation:
sqrt( 7x+2) = sqrt(3x+7)
Square each side
(sqrt( 7x+2))^2 = (sqrt(3x+7))^2
7x+2 = 3x+7
Subtract 3x from each side
7x-3x +2 = 3x+7-3x
4x+2 = 7
Subtract 2 from each side
4x+2-2 = 7-2
4x = 5
Divide by 4
4x/4 = 5/4
x = 1 1/4
Check for extraneous solution
sqrt( 7*5/4+2) = sqrt(3*5/4+7)
sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)
sqrt( 43/4) = sqrt(43/4)
Solution is valid
The fourth graders raised 175 more than 1,000 for the local animal shelter.
First, let us identify the given.
- Target value to raise= 1,000
- Profit from bake sale= 465
- Profit from t-shirt sales= 710
How much money did the fourth graders raise? The sum of the profit from the bake sale and t-shirt sales determines the total money raised.
Total money= Profit from bake sale + Profit from t-shirt sales
Total money= 465 + 710
Total money= 1175
How much more than 1,000 have the fourth graders raised? This amount is equivalent to the difference between the total money raised and the target amount, 1,000.
Total money-target amount
1175-1000= 175
You can learn more through this link brainly.com/question/24560878.
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Step-by-step explanation:
let no. of hours be x.
45x - 12 ≥ 117
45x ≥ 129
x ≥ 2.8667 (5sf)
therefore, 3 hours (round up to next whole number).
Topic: inequalities
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Answer:
b║f
c║e
Step-by-step explanation:
Given a diagram,
Lines b, c, d, e, f and a transversal line 'a'.
Here line 'b' makes an angle with line 'a' is 89.5° and line 'f' makes an angle with line 'a' is also 89.5° (180°-90.5° = 89.5°)
Since corresponding angles are same.
So, line 'b' is parallel to line 'f'.
And line 'c' makes an angle with line 'a' is 91.5° and line 'e' makes an angle with line 'a' is also 91.5° (180°-88.5° = 91.5°)
Since corresponding angles are same.
So, line 'c' is parallel to line 'e'.
Therefore,
b║f
c║e
That's the final answer.
In 1)
Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)
Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)
Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)
If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.
So,
Option D will be correct.
