Answer:
Hence, the cost of 10 t-shirts is more than the 6 t-shirts by four times the cost of one t-shirt.
Step-by-step explanation:
We are given the following information in the question:
In order to answer this question, we have to make the following assumptions.
Let the cost of one t-shirt be x.
Then,
Cost of 10 t-shirts =
Cost of 6 t-shirts =
Difference between cost =
Cost of 10 t-shirts - Cost of 6 t-shirts =
Hence, the cost of 10 t-shirts is more than the 6 t-shirts by four times the cost of one t-shirt.
(Set up the rational equation, and solve for x!) PLEASE HELP ME
Answer:
5 Male fishes, and 15 Female fishes
Step-by-step explanation:
We have two unknowns: The number of lady fishes (let's represent this number with "L"), and the number of male fishes (let's name this unknown number "M"). So now we need to create two equations to help us solve for these unknowns.
Use the actual sentences they give you to create the equations:
a) "75% of the total number of fishes are female"
Notice that the total number of fishes is the addition of the number of ladies plus the number of males; that is the total is "L+M". According to the sentence, 75% (which in math terms is written as "0.75") of this total number equals the number of lady fishes:
now we work a little the algebra indicated in this equation to simplify it a bit:
which tells us that the number of lady fishes is 3 times thenumber of male fishes.
b) Now the second equation based on the words:
"Lady fishes are 5 more than twice the male fishes"
"Twice the male fishes" can be written as: "2M"
so now we write this sentence as:
Now we combine the two equations by using in the second one the replacement for "L" in terms of "M" that we found in the first equation (that is: "L = 3 M") , so we obtain an equation with just one unknown (M) and we can solve for it:
Which tells us that the number of male fishes in the tank is "5".
We can use now our first simplified equation to find the number of lady fishes:
So, there are 15 female fishes in the tank.
the volume of a right-circular cylinder is V = πr²h, however, this cylinder on 6) is not a right-circular cylinder, meaning, the its altitude is not going straight up making a right-angle with the ground, is all slanted.
now, let's recall Cavalieri's Principle,
solids with the same altitude and cross-sectional areas at each height have the same volume.
so, though this cylinder is slanted, its cross-sectional areas are the same as a right-circular cylinder and thus its volume is also V = πr²h, so yes, is correct.
7)
the area of a parallelogram is A = bh.
so the volume of this solid will simply be the area of the upfront parallelogram times the depth or length of 5x.
Answer:
The answer is 3
Step-by-step explanation:
Step 1: 24 ÷ -6 + 7
Step 2: -4 + 7
Step 3: 3