At the movie theatre, child admission is $6.10 and adult admission is $9.90. On Friday, four times as many adult tickets as chil
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Answer:
V₂=28cm³
Step-by-step explanation:
<u>Way 1</u>
The volume of a cone is , and h₁ = 30 cm but the base (Ba₁) is 14 cm², so
, where Ba= Base area
if h₂=7cm and Ba₂=12cm² then
<u>Way2</u>
If the volume of a cone varies jointly as the height of the cone and the area of the base, then we must find the relationship between the bases and heights of the cones
Ba₁*h₁ = 30cm*14cm² = 420cm³
Ba²*h²= 7cm*12cm² = 84cm³
420/84 = 5; ratio = 5 also
V₂=V₁/5 ⇒ V₂=140cm³/5 = 28cm³
Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively
<u>Solution:</u>
Given, Matt gets paid at home for doing extra chores.
We have to find How much does Matt earn for completing each type of chore?
Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.
Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.
Then, 6 amount for 1 load of laundry + 1
amount for 1 load of dish = 27
The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31
Then, 1 amount for 1 load of laundry + 9
amount for 1 load of laundry = 31 ⇒m + 9n = 31 ⇒ (2)
Now let us solve equations (1) and (2)
0 – 53n = - 159
-53n = -159
53n = 159
n = 3
Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4
Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.