Answer:
3w² + 10w +8 (C)
Step-by-step explanation:
A rectangle has a length that is 3 times its width, w, in inches. The width is increased by 2 inches, and the length is increased by 4 inches. Which expression represents the area of the larger rectangle?
First, remember that the length of the first rectangle is 3 * w, or 3w.
Now, onto the second rectangle.
The width is increased by 2, so it becomes w + 2
The length is increased by 4, so it becomes 3w +4.
Area is length times width, so the area is
(w + 2)(3w + 4)
Simplify.
3w*w + 4*w + 2*3w + 2*4 =
3w² + 4w + 6w +8
3w² + 10w + 8, or C
What are appropriate ways of write "6 times x"?
Answer:
6x or 6(x)
Step-by-step explanation:
6 bracket (x) is a form of saying multiplication
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
cm³
The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.
Answer:
40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 [tex]\frac{1}{2}[/tex] cm
width = 2 [tex]\frac{1}{2}[/tex] cm
height = 2 [tex]\frac{1}{2}[/tex] cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
6 [tex]\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]2 [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]Volume = [tex]\frac{13}{2}[/tex] x [tex]\frac{5}{2}[/tex] x [tex]\frac{5}{2}[/tex]
When you multiply everything together you should get [tex]\frac{325}{8}[/tex].
As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].
Ian rode in a taxi to get to an airport. The total cost of his taxi ride was more than $12. Write and solve an inequality to find the possible distances, in miles, Ian could have traveled in the taxi. Show or explain how you got your answer.
Missing Part:
The initial fee for a taxi ride is $2.60. Each mile traveled in a taxi costs an additional $2.50.
Answer:
[tex]2.60 + 2.50x > 12[/tex]
[tex]x >3.76[/tex]
Step-by-step explanation:
Given
[tex]Initial = 2.60[/tex]
[tex]Rate = 2.50[/tex] per mile
Required
Miles traveled for more than $12
First, we represent the given parameters as an equation.
Represent miles with x and cost with y
So:
[tex]y = Initial + Rate * x[/tex]
[tex]y = 2.60 + 2.50 * x[/tex]
[tex]y = 2.60 + 2.50 x[/tex]
In Ian case, the distance traveled is more than $12.
This is represented as:
[tex]2.60 + 2.50x > y[/tex]
Substitute 12 for y
[tex]2.60 + 2.50x > 12[/tex]
Make 2.50x the subject
[tex]2.50x > 12 - 2.60[/tex]
[tex]2.50x > 9.40[/tex]
Make x the subject
[tex]x >9.40/2.50[/tex]
[tex]x >3.76[/tex]
Find the measure of side LM
Activity
The equation y = x + 1 represents plane A and y = -x + 21 represents plane B, where x is the time in minutes and y is the fuel in tons.
Part A
Go to your math tools and open the Graph tool to graph the two sets of equations. To see where the two lines intersect, change the scale so that the x-axis goes from 0 to 30 and the y-axis goes from 0 to 12. Paste a screenshot of the resulting graph in the answer space.
Part B
At which point do the lines intersect?
Part C
Do the coordinates of the point of intersection satisfy both equations simultaneously?
Answer:
Part-A: refer to the attachment
Part-B: (10,11)
Part-C: yes
step-by-step explanation:
Part-A:
refer to the attachment
(I used a online graphing calculator to graph the equations which made the work easy)
Part-B:
When two lines share exactly one common point, they are called the intersecting lines and the point is called the point of interception
Looking at the graph,we can understand that the two lines share a common point at (10,11),
hence,
The lines intercept at the point (10,11)
Part C :
well, to find the answer of this part, we can consider doing equality check by substituting the value of the point we got.
The point (10,11) means that the left and right hand side of both of the equations i.e [tex]\text{y=x+1 and y=-x+21}[/tex] are equal when x and y equal to 10 and 11 respectively.
So let's justify the points:
equation-1:
y = x + 1substitute the value of x and y respectively:
[tex]11\stackrel{?}{=}10+1[/tex]simplify addition:
[tex]11\stackrel{\checkmark}{=}11[/tex]equation-2:
y = -x + 21substitute the value of x and y respectively:
[tex]11\stackrel{?}{=}-10+21[/tex]simplify addition:
[tex]11\stackrel{\checkmark}{=}11[/tex]so,
Yes,the coordinates of the point of intersection satisfy both equations simultaneously
Answer:
h
Step-by-step explanation:
Which Quadrilaterals have the following property. Check all that apply. Both pairs of opposite sides are parallel.
Answer:
Parallelogram, Rhombus, Rectangle
Step-by-step explanation:
they are the quadrilaterals that have both pairs of opposite sides parallel meaning that they don't meet and are equal
Line 1 is Perpendicular to Line 2. If Line 1 has a slope of - 2/3, what is the slope of Line 2?
Answer:
2/3
Step-by-step explanation:
help meeeeeeeee
i just need a short answer
Answer:
E = number of Ella's stories
A = number of Anna's stories
E = A + 8
if A = 10, then
E = 10 + 8
E = 18
the length and width of the rectangle are in ratio 4:3.If the perimeter of the rectangle is 56 m find the length and width of the rectangle
Answer:
length = 4x
width = 3x
perimeter = 56 m
also, perimeter = 2 (length + width) [from formula]
therefore, 2(4x + 3x) = 56m
2(7x) = 56m
14x = 56m
x = 56/14 m
x = 4m
Answer:
Step-by-step explanation:
Length : width = 4 : 3
Length = 4x
Width = 3x
Perimeter of rectangle = 56 m
2*(length +width ) = 56
2*(4x + 3x) = 56
2*(7x) = 56
14x = 56
Divide both sides by 14
x = 56/14
x = 4
Length = 4x = 4*4 = 16 m
Width = 3x = 4*3 = 12 m
i got 23 but i am not sure it is correct or not.
Answer:
in triangle PON
relationship between perpendicular and hypotenuse is given by sin angle
sinx°=p/h=19/49=
x°=sin-¹(19/49)=22.81=23°
yeah you are right.
Please help, I would greatly appreciate it :)
What’s the answer to this question???????
Answer:
26
Step-by-step explanation:
if YZ bisects VW then VX = XW
if VX = 26 then XW = 26 also
When two fractions, refer to the same whole and have the same denominators, explain why you can compare only the numrators ?
Answer:
Ok, suppose that we have two fractions with the same denominator but different numerator, let's write them as:
a/b and c/b
We can write these two as:
a*(1/b) and c*(1/b)
Now if we want to add these, we get:
a*(1/b) + c*(1/b)
Now we can take the common factor (1/b), and write the sum as:
(a + c)*(1/b)
now we can rewrite this as:
(a + c)/b
then we got:
a/b + c/b = (a + c)/b
We can directly compare the numerators because we can think on the same denominator as a common factor.
Line PQ is parallel to line RS
∠MOQ=65°
What is ∠RTN=
Answer:
65
Step-by-step explanation:
MOQ = RTN
HELP PLS! Worth 20 points!!
What is the hypotenuse and the shorter leg of a 30-60-90 triangle, if the longer leg is 12?
Fill in the box to rewrite the expression 5x + 10
using the GCF.
5x + 10 = (
x) + (5 •
Please give me the correct answer.Only answer if you're very good at math.
What is the relationship between toppings and price?
A:Fornos charges one euro for every topping.
B:Fornos charges one euro for a plain slice, and one-half euro for each extra topping.
C:Fornos charges one and a half euros for each topping.
D:Fornos charges one-half for each topping.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
a side of the triangle below has been extended to form a exterior angle of 113 degrees find the value of x
Answer:
x = 23°
Step-by-step explanation:
x + 67° + 90 = 180°
x + 157° = 180°
x = 23°
Applying the exterior angle theorem, the value of x in the diagram given is: x = 23.
Given:
Exterior angle = 113 degreesTwo interior angles opposite to the exterior angle are: x and 90 degrees respectively.Based on the exterior angle theorem of a triangle, we will have the following:
x + 90 = 113 (exterior angle theorem)
Subtract 90 from each sidex + 90 - 90 = 113 - 90
x = 23
Thus, applying the exterior angle theorem, the value of x in the diagram given is: x = 23.
Learn more here:
https://brainly.com/question/17307144
Find the unit rate for each Lean Cuisine Entree. Show your
work
Please show work worth 40 points
Answer: 60
Step-by-step explanation:10 x 6 = 60 ( Also, 6x6x6x6x6x6x6x6x6x6 = 60
Quadrilateral DEFG is a rectangle, FH = 5x, and GH = x + 80. What is the value of x?
HELPPPP
Can anyone help with this please
Answer:
B
Step-by-step explanation:
B is correct. Only positive equation with y int at 2
Answer:
b
Step-by-step explanation:
What is the graph for y=2x+2?
There are 2 ways to do this problem. The easier method is to set x as two random numbers, and find y for both of the situations. Then, you will find that, for example,
When x = 0, y = 2 and when x = -1, y = 0. The only graph that has these two points is b, so that is the answer.
However, there is a more reliable way to do this.
First, let's go over what slope is. Slope is the "m" in y=mx+b and can be found by doing "rise over run". In other words, it represents how steep the line is/how fast it rises. If there is a negative slope, the graph moves down, like in c or d. If there is a positive slope, the line moves up, like in a or b.
We need to find a graph that has a slope of two (for every x, y rises by 2 [like if x=1, y=2, or when x=2, y=4, etc.). This only leaves option b as an answer.
Express 0.361 as a fraction
where the 6 and 1 is recurring
Answer:
179/495
Step-by-step explanation:
x = 0.3616161.......... ---------------(I)
Multiply by 1000
1000x = 361.616161......
Multiply (I) by 10
10x = 3.616161........
1000x = 361.6161......
10x = 3.6161........ {Now subtract}
990x= 358
x = 358/990
x = 179/495
jason has a bar of chocolate he gives his friend 2/5 of his chocolate bar.what percentage of his bar of chocolate does he have left
Answer:
60%
Step-by-step explanation:
he gave away 2/5 which is 40%. 100%-40% is 60%
Answer:
Step-by-step explanation:
Left over chocolate = 3/5
Percentage = [tex]\frac{3}{5}*100=3*20 =[/tex] 60%
Jasmine and 4 friends moved 23 pounds of dirt. Each friend moved the same amount of dirt. How much dirt did each friend move?
Answer:
5.75
Step-by-step explanation:
Because 23 divided by 4=5.75
Duh
Each friend moved 4.6 pounds of dirt.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Jasmine and her 4 friends moved a total of 23 pounds of dirt, so to find out how much dirt each friend moved, you can divide the total amount of dirt by the number of friends.
To do this, you can use the following formula:
Amount of dirt per friend = Total amount of dirt / Number of friends
Substituting the given values, you get:
Amount of dirt per friend = 23 pounds / 5 friends
Simplifying this expression, you get:
Amount of dirt per friend = 4.6 pounds per friend
Therefore,
Each friend moved 4.6 pounds of dirt.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Pls help i need this today
Solve for X
[tex] \frac{3x - 2}{3x + 1} = 3[/tex]
help pls
The answer is x = -5/6
And in decimal form it would be, -0.8333333
WILL MARK BRAINLIEST TO THE FIRST PERSON!!!!
Answer:
I think the answer is 105
What is the volume of this rectangular prism
Answer:
the volume is 1cm
Step-by-step explanation:
multiply all three fractions by using the equation V=WLH
pleaseeee Answer! Will Mark as Brainliest for the Best Answer
Answer:
[tex]p^{4} s^{5} y^{-7} z^{-1}[/tex]
Step-by-step explanation:
[tex]\frac{1}{y^{7} } = y^{-7}[/tex]
[tex]\frac{1}{z} = z^{-1}[/tex]
Find the area of the figure. Round to the nearest tenth if necessary. 5.5 ft 6 ft 8 ft
Answer:
21 savage
Step-by-step explanation: