Answer:
Step-by-step explanation:
I assume we are finding the slope of the line. It is positive since it runs from the lower left to the upper right, so forget B and D. Since slope is defined as rise over run, in order to get from one point on the line that goes through right where the grids meet to another point that goes through right where the grids meet we count up 1 unit and then to the right 6 units. This is a slope of 1/6.
Answer:
Step-by-step explanation:
Since MNP is equilateral, so <PNM=60, and since OP//NM, and <PON is 90, so <MNO=90=<PNM+PNO,so 90=60+<PNO,so <PNO=30
Answer:
The answer is D. 12 children, 147 adults.
Step-by-step explanation:
I solved all of the possibilities and only D was the answer.
A. 16 children, 143 adults = $1,367
B. 6 children, 153 adults = $1,407
C. 9 children, 150 adults = $1,395
D. 12 children, 147 adults = $1,383
So, the answer is D.
Hope this helps! :)
Answer:
315 chocolate
Step-by-step explanation:
Let Sam's chocolate be S
Let Clariss's chocolate be C
When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.
This can be written as:
C = 5S
The sum of their chocolate is 504 i.e
S + C = 504
Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:
S + C = 504
But: C = 5S
S + 5S = 504
6S = 504
Divide both side by 6
S = 504/6
S = 84.
C = 5S = 5 x 84 = 420
Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.
Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:
Amount of chocolate that Clarissa has a first = 420 – 105 = 315
Therefore, Clarissa had 315 chocolate at first.
Answer:
f(x) + g(x) = x² - 10x + 9
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 11x + 18
g(x) = x - 9
<u>Step 2: Find f(x) + g(x)</u>
- Substitute: f(x) + g(x) = x² - 11x + 18 + x - 9
- Combine like terms (x): f(x) + g(x) = x² - 10x + 9
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