5/7 = x/42
5/1 = x/6
X = 30
1). Her walking pace is (1.75 miles) / (50 minutes).
If you want it in units of (miles per hour), do it like this:
(1.75 miles / 50 minutes) x (60 minutes / 1 hour)
= ( 1.75 x 60 / 50 ) miles per hour.
2). The average change was
(30 - 45) degrees / (5 minutes) .
I'm sure you can do the division and make an integer out of that.
3). Each bracelet cost $3.10.
Caroline bought five of them, so she spent $3.10 five times.
Either do the multiplication, or else write down $3.10 five times
and do the addition.
4). In order to factor the expression, the two terms would need
to have some common factor ... both terms need either a power
of 'x', or they need two numbers that have a common factor.
They don't both have an 'x', and 13 and 10 have no common factor.
5). Todd earned 'T' dollars.
Twice what Todd earned is 2T .
$350 more than that is 2T+350 .
The question says that 2,500 is exactly that amount,
so you can write
2T + 350 = 2,500
Subtract 350 from each side: 2T = 2,150
Divide each side by 2: (you can finish it now)
Answer:
a = 14
b = 24
c = 24.9
A = 33.2 degrees
B = 70 degrees
C = 76.8 degrees
Step-by-step explanation:
a/sin(A) = b/sin(B) = c/sin(C)
14/sin(A) = 24/sin(70)
sin(A)×24 = sin(70)×14
sin(A) = sin(70)× 14/24 = sin(70) × 7/12 = 0.548154029...
A = asin(0.548154029...) = 33.240464... degrees
the sum of all angles in a triangle is airways 180 degrees.
C = 180 - 70 - 33.240464... = 76.75954... degrees
24/sin(70) = c/sin(76.75954...)
c = 24×sin(76.75954...)/sin(70) = 24.86133969...
Wow, what a coincidence, I just learned this at school today!
1. Slope
M= yb-ya/xb-xa
M= 8-4/8-6
M= 4/2
M= 2
2. Y-intercept
Y= mx + b
4 = (2)(6) + b
4 = 12 + b
4 = 12 + b
-12 = - 12 + b
-8 = b
Therefore, the equation is Y = 2x - 8
You can write this as a proportion
inch over miles = inch over miles
1/14.5 = 4.5/x
cross multiply
x = 65.25
They are actually 65.25 miles apart.
Hope this helps
