Answer:
37 polio vaccinations and 23 measles vaccination.
Step-by-step explanation:
Let the number of polio vaccination given=x
Let the number of measles vaccination given=y
Dr. Potter gave a total of 60 vaccinations
x+y=60
Since each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. A total of 184 doses was given out.
4x+2y=184
To find the values of x and y, we solve the two equations simultaneously.
x+y=60 (1)
4x+2y=184 (2)
From (1), x=60-y
Substitute x=60-y into equation 2.
4x+2y=184
4(60-y)+2y=184
240-4y+2y=184
240-184=4y-2y
56=2y
Divode both sides by 2
y=23
Recall earlier that x=60-y
x=60-23=37
Dr Potter gave 37 polio vaccinations and 23 measles vaccination.
Answer:
m<R = m<T = 80.5 deg
Step-by-step explanation:
3)
Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.
m<WXZ = 8x - 19 = 45
8x - 19 = 45
8x = 64
x = 8
4)
Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.
The sum of the measures of the interior angles of a convex, n-sided polygon is
180(n 2).
A kite is a quadrilateral, so n = 4.
180(4 - 2) = 180(2) = 360
The sum of the measures of the interior angles of a kite is 360 deg.
m<Q + m<R + m<S + m<T = 360
75 + m<R + 124 + m<T = 360
m<R + m<T + 199 = 360
m<R + m<T = 161
m<R = m<T, so we substitute m<T with m<R.
m<R + m<R = 161
2m<R = 161
m<R = 80.5
m<R = m<T = 80.5 deg
Answer:
Step-by-step explanation:
3/12 is a rational number because rational numbers can be written in the form of a/b
When you simplify 3/12, you get 1/4, which is a fraction
Answer:
900 - 60n ≥ 450
n ≤ 7.5
Answer: 7 weeks
Step-by-step explanation:
Let n = numberof weeks.
In n weeks, you withdraw 60n from the account.
After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.
900 - 60n ≥ 450
-60n ≥ -450
n ≤ 7.5
Answer: 7 weeks
