Answer:
Step-by-step explanation:
1) Number of white chocolate bars = x
Number of dark chocolate bars = y
Total bars = 15
x + y = 15 --------------(I)
Total cost = Php. 340
20x + 25y = 340 ----------------(II)
2) We can use elimination method to solve this equations.
Multiply equation (I) by (-20) and then add the equations.
(I)* (-20) -20x -20y = - 300
(II) <u>20x + 25y = 340 </u> {Now add and x will be eliminated}
5y = 40
y = 40/5
y = 8
Substitute y = 8 in equation (I)
x + 8 = 15
x = 15 - 8
x = 7
3) Number of dark chocolate bars = 8
Answer: bigger number is 48 and smaller number is 36
Step-by-step explanation:
Answer:
148°
Step-by-step explanation:
The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.
arc QN = 2(74°) = 148°
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<em>Comment on the question and answer</em>
Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.
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We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.
Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
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Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
Answer:
D) 11
Step-by-step explanation:
If you start at five and count back on each little x
than you should come up with 11
0=3
1=1
2=2
3=4
4=1
3+1+2+4+1=11
You do This because you need to find how many has fewer so you don't count 5
