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Answer:
Step-by-step explanation:
The given relations give rise to two equations:
b = g + 5
b + g = 21
Using the first to substitute for b in the second, we have ...
(g +5) +g = 21
2g = 16 . . . . . . . subtract 5
g = 8 . . . . . . . . . divide by 2
b = 8 +5 = 13
Ben got 13 presents; Gwen got 8.
Answer:
sum of angles = 40 + (8x + 4) + (3x + 4) = 180
Collecting all similar terms, the equation above becomes
11x + 8 = 140 ---> x = 12
Therefore. angle S = 3x + 4 = 3(12) + 4 = 40
We can't tell. Any certain letter doesn't have to mean the same thing wherever you see it. You can use any letter you want to represent any quantity you want when you write an expression or a formula, as long as you clearly tell what it stands for.
C = 2r This could mean anything.
It could mean that Julie has a great many pets. For every rat she has,
she also has two cats. Write a formula that tells how many cats she
needs for 16 rats.
It could mean that the Circumference of a circle is equal to 2 times
the length of the circle's radius.
It could mean that Rocko is baking oatmeal-raisin cookies. He is
cutting each raisin in half, and putting 1/2 of one raisin in each cookie.
Write a formula that tells how many cookies he can make with 16 raisins.
Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km
<u>Consumption rate = 8L for 100 km </u>
Km per Litre :
8L = 100km
1 L = m
8m = 100
m = (100 ÷ 8)
= 12.5 kilometer per Litre
<u>Number of kilometers for 42 L </u>
12.5 km = 1 L
m = 42 L
Cross multiply
m = 12.5 × 42
m = 525 km
The difference in the distance = 525 - 360 = 165 km
Therefore, the gas can go for a further 165 km
Learn more : brainly.com/question/18112348
Answer:
Step-by-step explanation:
The equations are:
(a)
Add 8 to both sides
To do this, we simply calculate the discriminant (d) using:
If
Then it has complex roots
Where:
--- complex root
(b)
Equate to 0
--- complex root
(c)
Equate to 0
---- real roots
(d)
Equate to 0
---- complex root