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fenix001 [56]
2 years ago
9

What is the equation of the line that passes through the point (-1,7) and has a slope of -2?

Mathematics
1 answer:
Pani-rosa [81]2 years ago
8 0
Y = -2x + b
Plug in the point
7 = -2(-1) + b
7 = 2 + b
b = 5
Final equation y = -2x + 5
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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
Do –2(3x – 1) = –6x – 1 have one solution
PolarNik [594]

Answer:

No solutions

Step-by-step explanation:

–2(3x – 1) = –6x – 1

First distribute the left side

-6x + 2 = -6x - 1

Add 1 to both sides

-6x + 3 = -6x

Add 6x to both sides

3 = 0

This equation is not true because 3 does NOT equal 0. Therefor, this equation has no solutions.

4 0
3 years ago
Read 2 more answers
What is the GCF of 27w^4, 45w^2, 18w^5​
solong [7]

Step-by-step explanation:

THE G.C.F IS 9W^2 AS ALL THE THREE MONOMIALS CAN ONLY BE DIVIDED BY IT..AFTER THAT IT WILL CHANGE IN DECIMAL/FRACTIONAL FORM.

6 0
2 years ago
Z+w−3=k<br> 6z−10w=8<br><br> ​ <br><br><br> ​
ludmilkaskok [199]

Answer:

if your looking for z it is 5/8k+2.375

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need help!!!!<br> [1 -4]<br> +[-2 6]<br> [3 5] [-2 4]
zimovet [89]
[ 1 - 4] 
= 1- 4
= 1 + - 4
= - 3

+ [ - 2 6]
= - 12

[ 3 5][ - 2 4]
(3)(5)(( - 2)(4))
= 15(( - 2)(4))
= (15)( - 8 )
= - 120






















4 0
3 years ago
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