Answer:
3x - 6x - 7 = 29 <u>Given</u>
<u>-----------------------------------</u>
3x - 6x -7 = 29
+ 7 + 7 <u>Addition property of equality</u>
3x - 6x = 36
<u>--------------------------------------------------------------</u>
3x - 6x = 36
<u>(</u>3x + -6x) = 36 <u>Combine like terms</u>
-3x = 36
<u>--------------------------------------------------------------</u>
-3x = 36
(-3x = 36)/ -3 <u>Division property of equality</u>
x = -12
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Step-by-step explanation:
I tried to seperate the steps so you can go through them. First you had to add on both sides to take out the like terms, then combine the 3x and the -6x to make -3x (easier to look at and divide), and finally divide to find X. the end product using X cannot be a negative because its a filler space for a real number.
Hope this helps :)
Answer:
The speed of Kali is 30 mph.
Step-by-step explanation:
Let, the speed of Kali be "x", then speed of Ndiba will be:
Speed of Ndiba = x + 15 mph
If, the time for travel for Ndiba is 2 hrs, when he catches Kali, and he left 1 hour later than Kali, then then time traveled by Kali at that instant will be 2+1 = 3hrs.
At the point of meeting both will have covered same distance.
Distance Covered by Kali = Distance Covered by Ndiba
(Speed of Kali)(Time traveled by Kali) = (Speed of Ndiba)(Time traveled by Ndiba)
(x)(3) = (x +15)(2)
3x = 2x +30
<u>x = 30 mph</u>
The correct answer is, actually 30 mph, by the solution shown above.
Let the total number of sweatshirts sold be S and the total number of baseball caps sold be B
Total sales is the total number of sweatshirts sold times $20 plus the total number of baseball caps sold times 10.
Equation 1: 20S + 10B = 2860
people bought 6 times as many sweatshirts as caps. Which means the number of sweatshirts sold (S) is 6 times caps sold(B)
Equation 2: S = 6B --- substitute S in equation 1 with 6B
=> 20(6B) + 10B = 2860
=> 120B + 10B = 2860
=> 130B = 2860 --- divide both side by 130
=> B = 2860/130
=> B = 22 --- is the number of caps sold.
To find the number of sweatshirts sold we use equation 2
S = 6B --- but we know now B = 22
=> S = 6(22)
=> S = 132
therefore 132 sweatshirts sold and 22 baseball caps sold.
7(2x + 5) - 3(x - 4)
14x + 35 - 3x + 12
11x + 47 <==
First, the biologist must define the variables:
Dependent- this is what will be measured. So the biologist may want to measure the weight and height of the tomatoes, or the leaf area or the time it will produce the fruit.
Independent- this is what will differ in the experiment and what the biologist thinks will affect the dependent variable. In this case, the biologist will use new fertilizer on plant A, old fertilizer on plant B, and no fertilizer on plant C.
Controlled- these variables must be held constant because the biologist doesn’t want other factors to affect the growth of the tomato plant, thus, destroying the purpose of the experiment, tomato plant A, B, and C will have equal amounts of soil, water, and carbon dioxide, and exposure to sunlight.
After his experimentation, he will conclude which of the plant has better weight, growth, leaf, and fruit. If Plant A is the best tomato plant of them all, then he can say that the new fertilizer is more effective.
