The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).
Use your understanding of simultaneous equations to determine the unknown
dimensions.
Find the area of the rectangle.
Find the simple interes charged on a loan of $26,500 for 8 months at an interest rate of 7%. Show ALL your work or explain
Answer:
$1236.67
Step-by-step explanation:
I = Prt
P = 26500
r = 0.07
t = 8/12 = 2/3
I = (26500)(0.07)(2/3)
I = 1236.67
Find the value of x
18
20
x
Select the correct answer.
The length of a rectangle is units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
A.
2(w) + w
B.
w + w
C.
3w +
D.
6w + 5
The expression which shows the perimeter in terms of w is option d which is 6w+5.
What is expression?Expression is a combination of numbers, fraction, symbols, indeterminants, determinants,etc. It shows a relationship between two or more variables. It is mostly not found in equal to form.
How to find perimeter?We have been given that width be w, so the length will be 2w+5/2.
We know that perimeter of rectangle is 2(l+b)
Perimeter=2(2w+5/2+w)
=2(3w+5/2)
=2(6w+5)/2
=6w+5
Hence the the expression which shows the perimeter of rectangle having width w and length is 5/2 units greater than double the width in terms of w is option d which is 6w+5.
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Question is incomplete as it should includes the length eing 5/2 units greater than double the width.
find the marked angles
Answer:
the angle closest to the 40degree angle is a right angle, so it is 90 degrees. The one with two lines is 50 degrees, and the farthest angle is 40 degrees
Step-by-step explanation:
A square symbol over an angle means it is a right angle, so it will always equal 90 degrees.
The already labeled angle (40 degrees) is equal to the farthest angle.
Once you have two angles, you can find the third angle by simply subracting the two from 180 like this:
180 - 90 - 40 = 50 degrees.
I NEED HELP ASAP!!! PLEASE I ONLY HAVE LIKE 5 MINUTES
Answer: Part A : 4x-6 < 66
Part B : 15
Step-by-step explanation: I don't understand how to explain part A, but for part B, you subtract 66 by 6 to get 60. Then, divide 60 by 4 to get 15, the largest number you can have.
A contractor digs a rectangular hole for the basements of a new house that is 10 1/2 feet deep. What is the width of the hole if 6,510 cubic feet of dirt are removed?
Answer:
w = 2√155 ft ✅
Step-by-step explanation:
Given that:
depth (d) = 10½ ft
Volume (v) = 6,510 ft³
Find the width (w) of the hole!
If the base is a square, then
the width and the length of the base is 'equal', so the
Volume of a cuboid =
V = w²d
width = square root of the division of volume by depth
w = √(V/d)
w = √(6,510/10½)
w = √620
w = √(4×155)
w = 2√155 ft ✅
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from Indonesia
Rafael is cutting pieces of wood to make a triangular pyramid like the one shown below. The base of the pyramid is an equilateral triangle, and the faces are isosceles triangles.
Answer:
[tex]Total = 32.4in^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
The surface area of the pyramid
To do this, we calculate the surface area of each of the pyramid faces.
For the equilateral triangle.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.9in[/tex]
The area is:
[tex]A_1 = 0.5 * Base * Height[/tex]
[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]
[tex]A_1 = 8.775in^2[/tex]
There are 3 isosceles triangles of equal dimension.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.5in[/tex]
The area of one of them is:
[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]
[tex]A_2 = 7.875in^2[/tex]
For the 3, the surface area is:
[tex]3A_2 = 7.875in^2 * 3[/tex]
[tex]3A_2 = 23.625in^2\\[/tex]
The total surface area is:
[tex]Total = 8.775in^2 + 23.625in^2[/tex]
[tex]Total = 32.4in^2[/tex]
Hiii :) They took me down
(Just so they don't delete me) - What is 2x+2x
Answer:
4x
Step-by-step explanation:
The dimensions of a right rectangular prism are shown below.
1 in.
in
How many cubes with side lengths of 3 inch are needed to fill the prism without gaps or overlaps?
I will mark brainliest.
The number of cubes will be 546.
What is the volume?The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.
The volume of the cuboid is,
Volume = (2¹/₆ x 1¹/₆ x 1 )
Volume = ( 13 / 6 ) x ( 7 / 6)
Volume = 91 / 36
The volume of a small cube is:-
Volume = (1/6) x (1/6)
Volume = 1/216
The number of cubes is,
Number = (91/36) ÷ (1/216)
Number = (91 x 216) / 36
Number = 546
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What is a positive data set on a graph?
Answer:
when the dot's go left to right going upwards
Step-by-step explanation:
Please help. Josh threw darts at a dartboard 10 times. Assume that he threw the darts randomly and did not aim. Based on his results (the picture), what is the experimental probability that Josh's next dart will land in the center circle?
Answer:
1/10 or 10%
...........
Addison is shooting a free throw. The initial height of the ball is represented by the ______
.A Maximum
B. Minimum
C. x-intercept
D. y-intercept
Answer:
B
Step-by-step explanation:
Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%
Answer:
i. 818.18
ii. 940.9
Step-by-step explanation:
SP = 900
or, CP + 10% of CP = 900
or, CP + 10/100 × CP = 900
or, 110CP = 90000
or, CP = 90000/110
CP = 818.18
for profit= 15%
SP = 9000/11 + 15% of 9000/11
= 940.9
PLEASE HELP SOON!!! WILL GIVE BRAINLIEST TO ANSWERER!!!!!!!
3. The figure below shows a right triangle with squares made from its side lengths. What is the area of square c? *
A bag contains 5 white marbles and 30 blue marbles. If a representative sample contains 2 white marbles, then how many blue marbles would you expect it to contain? Explain. Because the ratio of white marbles to blue marbles is ▼ 6:5 6:1 5:6 1:6 in the population, the expected number of blue marbles is nothing times the number of white marbles in the representative sample. There should be nothing blue marbles.
Answer:
6:1
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
The expected number of blue marbles in the representative sample is 10. This is because the ratio of white marbles to blue marbles in the population is 5:6, so for every 5 white marbles there are 6 blue marbles. Since the representative sample contains 2 white marbles, the expected number of blue marbles should be 6 times the number of white marbles, or 6 x 2 = 10.
Select all expressions that are equivalent to 2x+3x+8-3x-2.
Select all that apply
2x + 6
2x + 10
O O O O
5x - 3x + 6
5x - 3x + 10
Answer:
2x + 6
Step-by-step explanation:
Solve for x: 2x+3x-3x = 2x
Solve numbers without the variable: 8-2 = 6
combined together: 2x + 6
On a grid, what is the distance between two points located at
(0, 0) and (4, 14)
Answer:
14.5
Step-by-step explanation:
Plug in the coordinates into the distance formula which is:
√[(x₂ - x₁)² + (y₂ - y₁)²]
√[(4 - 0)² + (14 - 0)²]
√[(4)² + (14)²]
√[(16) + (196)]
√212
14.5
i need help pls..........
Answer:
a 14.3
Step-by-step explanation:
23 divided by 4 is 14.3
Suppose Julie has already earned 36 points right and solve an addition equation to find the number of points he still needs to earn a pizza party
Answer:
[tex]50 = 36 + p[/tex]
Step-by-step explanation:
Given
[tex]Total = 50[/tex]
[tex]Points = 36[/tex]
See attachment
Required
Determine the additional points (p) needed
The total point equals the sum of the already earned point and the points needed.
i.e.
[tex]Total = Points + p[/tex]
Substitute values for Total and Points
[tex]50 = 36 + p[/tex]
2x and 3x are like terms
WILL GIVE BRAINLIEST FOR ANSWER In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.
How much gold fabric do you need to create the flag?
What percent of the flag is gold?
Answer:
13%
Step-by-step explanation:
the area of the flag is 4x6=24 the circle has an area of 3.14. 3.14/24 is 13%
The percent of the flag is gold should be considered as the 13%.
Calculation of the percentage:Since
In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.
So here the area of the flag should be
= (4) (6)
= 24
Now the percentage be like
= 3.14/24
= 13%
hence, The percent of the flag is gold should be considered as the 13%.
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Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?
Answer:
5.9 pounds
Step-by-step explanation:
3.8 + 2.1 = 5.9
help me plsss it’s due in five minuted
Answer:
(e) 5(3-x) I'm not writing the detailed answer because it's due in fine mins as you said
Find the value of x in the triangle shown below.
Answer:
46.4 degree. by using sine law.
Max's Moving Company charges a $75 loading fee to move your boxes. They also charge $2 per mile that they have to drive the van to move you boxes from one place to another.
Answer:
y=75+2x
Step-by-step explanation:
Given data
Loading fee=$75
Charge per mile= $2
Let the distance be x
and the total charge be y
Hence the expression for the total charge is
y=75+2x
Solve each equation with the quadratic formula.
3p² =-3
Step-by-step explanation:
3p²=-3
or, 3p²+3=0
a= 3, b=0 and c= 3
x= (-b + √(b²-4ac))/2a
b²-4ac is a negative number.
So, can't be solved.
HELP THIS IS DUE RN!!!!
Answer:
50 miles for every 1 hour traveled
Step-by-step explanation:
A bag contains 8 red, 6 green, and 3 blue popsicles. John is going to draw out a popsicle without looking in the bag.
What is the probability that he will draw either a green or a blue popsicle?
Answer:
52.94117647 %
Step-by-step explanation:
there is 17
6 + 3 = 9
9/17 = .5294117647
plz help me with this question
Answer:
I think the answer is 8
Step-by-step explanation:
first you do 6 times 6
then you do 36-20
next do 32 divided by 4 and then you subtract that all