Answer:
<em>Henson: 3x + y = 163</em>
<em>Garcia: 2x + 3y = 174</em>
<em>adult ticket price: $45</em>
<em>child ticket price: $28</em>
Step-by-step explanation:
Henson Family:
3 adults + 1 child; total $163
3x + y = 163
Garcia Family:
2 adults + 3 children; total $174
2x + 3y = 174
Now we solve the system of equations.
Solve the first equation (Henson Family) for y.
y = 163 - 3x
Substitute 163 - 3x for y in the second equation (Garcia Family).
2x + 3<em>y</em> = 174
2x + 3(<em>163 - 3x</em>) = 174
2x + 489 - 9x = 174
-7x + 489 = 174
-7x = -315
x = 45
Now substitute 45 for x in the first original equation and solve for y.
3x + y = 163
3(45) + y = 163
135 + y = 163
y = 28
adult ticket price: $45
child ticket price: $28
Answer:
20 1/6 ft
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides:
2×(5 1/3 ft) + 2×(4 3/4 ft) = 10 2/3 ft + 8 6/4 ft
= 10 2/3 ft + 9 2/4 ft . . . . change 6/4 ft to 1 1/2 ft
= 10 8/12 ft + 9 6/12 ft = 19 14/12 ft . . . . . use common denominator of 1/12 ft
= 20 2/12 ft . . . . . . change 14/12 ft to 1 2/12 ft; next reduce that fraction
= 20 1/6 ft . . . . perimeter of Caleb's bathroom
Answer:
The answer is 25/24 or 1.041
Step-by-step explanation:
Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.
6 x 4 = 24 and 8 x 3 = 24
Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.
5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24
After getting these values, you can then add them.
20/24 + 15/24 = 25/24 or 1.041
Answer:
m<1 = 79°
Step-by-step explanation:
12x + 19 + 22x - 9 = 180
add the numbers
34x + 10 =180
minus 10
34x = 170
divide by 34
x = 5
plug 5 into the equation of angle 1
12(5) + 19 =
79
Answer:
QRS equals to 91
Step-by-step explanation:
50 + 41 = 91
