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krek1111 [17]
3 years ago
10

Assistance pleaseeees?!!

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

Step-by-step explanation:

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Short sleeve t-shirts cost $10 and long sleeve t-shirts cost $15. If the t-shirt shop made $485 selling 38 total t-shirts, how m
BartSMP [9]

Answer:

The t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Step-by-step explanation:

To solve this problem, we should create a system of equations.  Let's let short sleeve t-shirts be represented by the variable s and long sleeve t-shirts be represented by the variable l.  

We know that the shop sold 38 total shirts, or in other words, the amount of long sleeve and short sleeve shirts combined is 38.  If we write this as an equation, we get: s + l = 38.

We can make another equation with the prices of the shirts.  If we take each type of shirt and multiply each price by the number sold and add them together, we should get the shop's total profits.  Represented as an equation, this is: 10s + 15l = 485.

Now that we have two equations, we should try to solve the system.  In this case, it is easiest to use substitution, so we are going to rewrite the first equation in terms of one variable.

s + l = 38

s = 38 - l

If we substitute this equivalent value for the variable s into the second equation, we get:

10s + 15l = 485

10(38 - l) + 15l = 485

Now we have an equation that only has one variable, so we can simplify both sides and then isolate the variable.

380 - 10l + 15l = 485

380 + 5l = 485

5l = 105

l = 21

Now, we can substitute this value for l back into the first equation to solve for the variable s.

s + l = 38

s + 21 = 38

s = 17

Therefore, the t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Hope this helps!

5 0
3 years ago
It took Everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
slega [8]
\bf \cfrac{10km}{55mins}\cdot \cfrac{0.621miles}{1km}\implies \cfrac{62.1miles}{55mins}\approx 1.12909909\approx \boxed{1.13\frac{miles}{mins}}
5 0
3 years ago
What is the height of the support beam?
Marysya12 [62]

Answer:

36 meters

Step-by-step explanation:

Using pythagorean theorem, 36² - 15² = 1296. √1296 = 36 meters

4 0
3 years ago
Read 2 more answers
Which statement about the quadratic equation below is true?
dmitriy555 [2]
H the equation has x = 4 and x = -4 as it’s only solutions is true
3 0
3 years ago
Read 2 more answers
I need help solving this
Gemiola [76]
Since the graphic shows you that both angles across from both of the sides are equal we can tell that both sides are equal. 
Now to solve for the variable all you need to do is make an equation where both of the sides are equal to each other. 
So...8x - 12 = 12x - 18
Now to solve you need to get rid of the constants, or regular numbers. To do this, add 12 to both sides. 
So...8x = 12x - 6
Next, you need to move the variable to one side, do this by subtracting 12x from both sides. 
So... -6x = -6
Finally, divide both sides by -6 to get what the variable equals. 
So...x = 1
Your final answer is both sides equal 1 in.
7 0
3 years ago
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