Answer:
The price of the glove is $8.5 and the price of the hat is $6.5.
Step-by-step explanation:
2x+4y=43
2x+2y=30
---------------
2x+4y=43
x+y=15
--------------
x=15-y
2(15-y)+4y=43
30-2y+4y=43
30+2y=43
2y=43-30
2y=13
y=13/2
x+13/2=15
x=15-13/2
x=30/2-13/2=17/2
x=17/2, y=13/2.
The price of the glove is $8.5 and the price of the hat is $6.5.
Answer:
or
Step-by-step explanation:
Factor.
Extract the square root.
Add 5
or
<em><u>2.1</u></em> and <em>4.1</em>
<em>.................</em>
Answer:
<h3>
m∠UVT = 97°</h3>
Step-by-step explanation:
Given m∠WVU = 169°, m∠WVT = (2x + 20)° and m∠UVT = (3x + 19)°, according to the diagram shown, it is seen that;
m∠WVU = m∠WVT +m∠UVT
Substitute the given parameters into the function as shown;
(2x + 20)°+(3x + 19)° = 169
collect like terms
2x+3x+20+19 = 169
5x+39 = 169
5x = 169-39
5x = 130
x = 130/5
x = 26°
Since m∠UVT = 3x+19, substitute x = 26 into the function
m∠UVT = 3(26)+ 19
m∠UVT = 78+19
m∠UVT = 97°
Answer: {y,x} = {4,2} ) ) ) )4
Step-by-step explanation: y
[2] y = -2x + 8
// Plug this in for variable y in equation [1]
[1] (-2x+8) - x = 2
[1] - 3x = -6
// Solve equation [1] for the variable x
[1] 3x = 6
[1] x = 2
// By now we know this much :
y = -2x+8
x = 2
// Use the x value to solve for y
y = -2(2)+8 = 4
Solution :
{y,x} = {4,2}