Ray is late for work, but would like to drink some coffee before he leaves. The coffee in the pot is too hot, so Ray puts 20 small ice cubes in a mug before pouring in the coffee. The ice cubes measure 1 cm per side. The mug is cylindrical, and has a height of 9 cm and a base of 7 cm. What is volume of the coffee that will fill the mug after the ice cubes have been added (round to the nearest whole number)?A) 113 cm3.
Eliminate
B) 326 cm3.
C) 346 cm3.
D) 424 cm3.
Answers
The volume of the mug is
r - radius,
h - height
The radius of the mug is 7/2 (half the base) = 3.5cm
volume of the mug = 3.5^2 * PI * 9 = 346 cm3
20 ice cubes = 20 cm3 that you need to substract from 346, that gives 326 cm3.
The volume of the mug is the area of its base · the mug's height, or h. This is 3.5 cm · 3.5 cm. · 9 ·
, or 346.2
. The volume of each ice cube is 1 cubic centimeter, so 20 of them will occupy 20
. This leaves 326
for the coffee.
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Answers
SA=(s^2)+4(1/2)(sl) or
SA=(s^2)+2(sl)
where s is side legnth and slant height is l
if s times 3
if l divided by 5
replace all s with 3s and all l with l/5 and compare wth original
SA=((3s)^2)+2(3s(l/5))
SA=(9s^2)+((6sl)/5)
Answers
But you must rearrange this into y=mx+b form
to do this subtract 7x from both sides
y= -7x+5
On the y axis plot a dot on 5 because that is the y intercept.
To find the x intercept let y=0
0= -7x+5
1. Subtract 5 to both sides
-5=-7x
2. Divide by -7 to both sides
x= -5/-7
x=5/7
The x intercept is 5/7, so on the x axis mark a dot on 5/7 which is approximately at 0.7
Once you have marked one dot on the y axis at 5 and another dot on the x-axis at 0.7 then you draw a straight line through these points and you have graphed the function 7x+y=5
For your equation, once you solve it for Y, you get this:
Now, the coefficient of X is a very crucial part of graphing an equation. Once the equation is solved for Y, the coefficient of X is going to be the slope of the line you are graphing. The slope of a line is how much Y goes up every time X is increased by 1.
To graph an equation, you need to put in a number for X and find the matching value for Y and then graph that point. To do this, you will need a coordinate plane. I can't show you what that looks like on here. But, I will do my best to explain how it is done.
Now, for your equation:
Simply chose a number for X and find the matching value for Y. I'll try 0 for an example:
-7 * 0 is 0. Therefore, your new equation looks like this:
Therefore, one "Solution pair" to this equation is (X=0,Y=5)
Simply repeat this process and plot the solution pairs on the coordinate plane and then connect the dots.
(-8, 4), (2, 3), (-2, 1), (5, 2)
(5, 4), (-2, 2), (2, 1), (-8, 2)
(-2, 4), (2, 2), (5, 1), (-8, 5)
Answers
Answer A: 2 has two pictures (values)
Answer:
a
Step-by-step explanation:
twice the difference of a number and seven
The words "the difference of indicate
Key Words
Replace With
The expression is written as
twice
2x
the difference of
(
a number
n
seven
7
Answers
The answer is shown below:
- 2
- -
- 2(n-7)
What is expression?
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it
A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Expression Definition in Math
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
- Constant: A constant is a fixed numerical value.
- Variable: A variable is a symbol that doesn't have a fixed value.
- Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
- Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
The complete statement is
The word "twice" means ( 2* )
The words "the difference of indicate (-)
The expression is written as
2( n-7)
Learn more about expression here:
#SPJ2
Answer:
The word “twice” means
✔ multiplication by 2
The words “the difference of” indicate
✔ subtraction in parentheses
The expression is written as
✔ 2(n – 7)
Step-by-step explanation:
Answers
Answers
Answer: The required equation of the line is
Step-by-step explanation: We are given to find the equation of the line that passes through (1, 2) and is parallel to the line whose equation is as follows:
The slope-intercept form of the given line (i) is
where, slope of the line is, m = - 4.
Since parallel lines have equal slopes, so the slope of the new line that passes through the point (1, 2) is
m = - 4.
Therefore, the equation of the line will be
Thus, the required equation of the line is
or if you need it in the original format
4x+y-6=0