Answer:
Step-by-step explanation:
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cecewiliams23
08/12/2016
Mathematics
High School
answered
How many solutions does the equation 5x + 3x − 4 = 10 have
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MathGeek289
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This Must Only Have One Solution, Because The Right Side Of The Equation Is Just Plainly Ten. Lets Solve This:
5x + 3x - 4 = 10
Add Four To Both Sides To Begin Simplifying.
5x + 3x = 14
Now, Combine Like Terms.
8x = 14
Divide:
8x/8 = 1X = X
14/8
X = 14/8
14/8 = 1.75
X = 1.75
Check:
(5 * 1.75) + (3*1.75) - 4 = 10
8.75 + 5.25 - 4 = 10
14 - 4 = 10
10 = 10.
This Is True, So X Does Equal 1.75
Answer:
m∠C = 26°
m∠D = 108°
m∠E = 46°
Step-by-step explanation:
Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)
(2x) + (x+3) + (5x-7) = 180
Remove the parentheses
2x + x+ 3 + 5x - 7 = 180
Add like terms
8x - 3 -7 = 8x -4 = 180
8x - 4 = 180
Add 4 on each side to cancel it out on the right
8x - 4 = 180
+4 = +4
8x = 184
Divide each side by 8 to get the variable by itself
8/8 =1 184/8 = 23
x = 23
Substitute x in eac expression
2x = 2(23) = 46°
x + 3 = 23 + 3 = 26°
5x - 7 = 5(23) - 7 = 115 -7 = 108
Chek it by adding all the degrees to make sure it equals 180
46 + 26 + 108 = 72 + 108 = 180
Completing the squares tells us exactly what square root we will need to calculate our answer.
Using the formula below you can find these answers:
Does this make sense?
Answer:
9 fruit baskets.
Step-by-step explanation:
Given:
Steve sold 36 fruit baskets for a school fundraiser.
Evie sold 25% of the number of baskets that Steve sold.
<u>Question asked:</u>
How many fruit baskets did Evie sell?
Solution:
<u>As given that Evie sold 25% of the number of baskets that Steve sold.</u>
Number of baskets sold by Evie = 25% of 36
Thus, 9 fruit baskets sold by Evie.
