Answer:
- 0.8
Step-by-step explanation:
The first thing we want to do here is simplify the expression -
( 2x + 5 ) - 2x, Distribute the " " to elements within the parenthesis
= 
2x + 5 - 2x, Focus on simplifying the expression " 2x + 5 "
= 
- 2x
= 
- 2x, Combine fractions
= 
+ 3
= 
x + 3
So we have our simplified expression " x + 3, " with being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,
- 4 / 5 = - 0.8,
Solution = - 0.8
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream
Equation1 ---- x + y = 50 (the sum of all the ice creams they sell)
Equation 2 ---- 3x + 5y = 180 Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides. (I could have done subtracted x - it did not matter). Now we have x= ₋ y +50 (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50
3 (-y +50) + 5y = 180
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1 is x+y=50 we can replace y with 15
x + 15 = 50 Now subtract 15 from both sides x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5 = + <u>75
</u> $180
Answer:
9000 pounds
Step-by-step explanation:
Since there are 2,000 pounds in a ton, you should use the proportion on the left.
Solve the equation:
Answer:
The height of the triangle is 
cm.
Step-by-step explanation:
----------------------------------------
The formula for solving the area of a triangle is 
where 
stands for base and 
stands for height.
Let's substitute 30 
for the area and 10 for the base.
-------------------->>>>
Now, let's solve to find the height.
Multiply 
times 
Divide both sides by 5.
-----------------------------------------
Hope this is helpful.
Answer:
False
Step-by-step explanation:
A reciprocal is when a whole number fraction is flipped
Therefore the reciprocal of 7 is 1/7
