One brand of cookies is sold in three different box sizes: small, medium, and large. The small box has half the volume of the medium box. The large box has twice the volume of the medium box. The volume of the medium box is x.
If someone buys one of each size, which expression shows the combined volume of the three boxes?
A
1.75x
B
2.5x
C
3.5x
D
7x
Answer:
a
Step-by-step explanation:
An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division, etc.
The expression that shows the combined volume of the three boxes is 3.5x.
Option C is the correct answer.
What is an expression?An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division, etc.
We have,
Three box sizes:
Small, Medium, and Large.
The volume of the medium box is x.
The volume of the medium box = x ____(1)
The small box has half the volume of the medium box.
The volume of the small box = x/2 _______(2)
The large box has twice the volume of the medium box.
The volume of the large box = 2x _____(3)
Combining (1), (2), and (3) we get,
= x + x/2 + 2x
= (2x + x + 4x) / 2
= (7/2)x
= 3.5x
Thus the expression that shows the combined volume of the three boxes is 3.5x.
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What is the equation in slope-intercept form of the line that passes through the point (5,0) and is parallel to the line represented by y = 1.2x + 3.8?
Answer:
y=1.2x-6
Step-by-step explanation:
place in the points
0=1.2(5)+b
distrubutive property
0=6+b
subtract 6 on both sides
-6=b
y=1.2x-6
The equation in the slope-intercept form of the line that passes through the point (5,0) and is parallel to the given line is y=1.2x-6.
The given equation is y = 1.2x + 3.8.
We need to find what is the equation in the slope-intercept form of the line that passes through the point (5,0).
What is the slope-intercept form?The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y= mx+b.
Now, the line of the equation that is parallel to y = 1.2x + 3.8.
Here, m1=1.2
The slopes of parallel lines are equal and the formula for the slope of parallel lines is m1 = m2.
Then, m2=1.2
Now, put m=1.2 and the point (5,0) in y=mx+b
That is, 0=1.2×5+b
⇒b=-6
The equation of the line is y=1.2x-6
Therefore, the equation in the slope-intercept form of the line that passes through the point (5,0) and is parallel to the given line is y=1.2x-6.
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I NEED HELP
Betty wants to put new cabinets in her kitchen. She measures one side of her kitchen and finds it measures 181818 meters.
Which measurement did Betty find?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Length
(Choice B)
B
Perimeter
(Choice C)
C
Area
The value y of varies directly with x. When y = 19.375, x = 7.75.
What is the value of x when y is 21.5?
A.10.5
B.5.6
C.8.6
D.2.5
Answer: (X,Y) = (0.4, 7.75)
Step-by-step explanation:
Y=7.75,
19.375X=7.75
Then solve for X
Divide 19.375 on both sides to get X=0.4
Y=7.75
X=0.4