Answer:
C
Step-by-step explanation:
6X - (15 + 4X) = 35
6(25) - (15 + 4(25)) = 35
150 - (15 + 100) = 35
150 - (115) = 35
35 = 35 (True)
A number is given three successive discounts of 20%, 25% and 20%; Three successive increases of 20%, 25% and 20% are made to the resulting number, resulting in a number that differs from the original by 408 units. Calculate the original number.
Answer:
3000
Step-by-step explanation:
The multiplier associated with each percentage change (p) is (1 +p). We can use this fact to relate the original number to the modified number.
__
discounted numberLet x represent the original number. Then the discounted number is ...
x(1 -20%)(1 -25%)(1 -20%) = x(0.8)(0.75)(0.8) = 0.48x
increased numberAfter those discounts, the increased number is ...
(0.48x)(1 +20%)(1 +25%)(1 +20%) = (0.48x)(1.2)(1.25)(1.2) = 0.864x
differenceThe difference from the original is ...
x - 0.864x = 408
0.136x = 408 . . . . simplify
x = 3000 . . . . . . . divide by the coefficient of x
The original number was 3000.
How do I factor this polynomial?
(30x^3 + 15x^2 + 45x)
Answer:
Step-by-step explanation:
Answer: [tex]15x(2x^2+x+3)[/tex]
Step-by-step explanation:
[tex](30x^3 + 15x^2 + 45x)[/tex]
1. factor out 15x
[tex]15x(2x^2+x+3)[/tex]
if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?
Triangle ABC represents a triangular garden with side lengths AB= 10cm ,BC= 8cm and AC=15cm .
What is the smallest and largest angle of the garden?
Answer:
Largest angle is "B" and smallest angle is "A".
Step-by-step explanation:
Given ∆ABC
AB = 10 cm , BC = 8 cm , AC = 15 cm
Angle opposite to side AB is "C"
Angle opposite to side BC is "A"
Angle opposite to side AC is "B"
we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.
Here,∆ABC largest side is AC and smallest side is BC.
Hence,largest angle is "B" and smallest angle is "A".
2. Find the variation constant and an equation of variation where y varies inversely as x and y=9 when x=2.
Answer: y=108
Step-by-step explanation:
Answer:
k = 4.5
y = 4.5x
Step-by-step explanation:
Finding the variation constant, k :
k = y/xk = 9/2k = 4.5Equation of variation :
y = kxy = 4.5xNEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK
Answer:
i thing it is 2，if i wrong so sorry
What is the answer please?
Answer: B (middle option)
Congruent; a counterclockwise rotation of 90° followed by a translation
Step-by-step explanation:
Rotating the triangle 90° makes point A face the left. Translating the triangle to the right afterward (and maybe a little in some other directions) would map it onto the second triangle.
A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.
The height of the shipping box in the shape of a rectangular prism is 15 inches
How to determine the height of the box?The given parameters are:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
The height of the prism is then calculated using:
Height = Volume/Base Area
So, we have:
Height = 9000/(20 * 30)
Evaluate
Height = 15
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches
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easy question quickly please!!!
Answer:
D
Step-by-step explanation:
4 x 8 = 32
4 x 16 = 64
4 x 32 = 128
4 x 64 = 256
They can be multiplied by something and 4
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. If the front wheel of a penny-farthing has a diameter of 56 inches and the back wheel has a diameter of 14 inches, how many turns does the back wheel make when the penny-farthing travels 100 yards? Use 3.14 for pi.
Answer:
81.9 turns
Step-by-step explanation:
100 yd = 36 × 100 in. = 3600 in.
C = πd
C = 3.14 × 14 in. = 43.96 in.
3600/43.96 = 81.9
Answer: 81.9 turns
Complete a table for the equation
Answer:
Nothing provided
Step-by-step explanation:
Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field
The equation that represents the total area of the blueberry field will be y = 84x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Six workers are hired to harvest blueberries from a field.
Each is given a plot with an area of 84 square ft.
Then the equation that represents the total area of the blueberry field will be
Let x be the number of workers and y be the total area field. Then we have
y = 84x
Then the area of the total field will be
y = 84 (6)
y = 504 square ft
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What is the value of x?
Answer:
14
Step-by-step explanation:
4x + 2x + 6 = 90
6x + 6 = 90
6x = 84
x = 14
My original answer was 18, 1.92, -1, -5.5 but it is wrong on the form so what did i do wrong?
7/11 of a class walk to school. What fraction of the class did not walk to school
Answer:
4/11 of the class did not walk to school.
Step-by-step explanation:
11/11 - 7/11 = 4/11
find the area of the circle. give your answer in terms of ir and as decimals rounded to nearest square foot. use 3.14 for ti. the diameter of a circle is 40 feet
Answer:
The answer to this is 1,256
plis help me!!!!!!!!!!!!!! it is very difficult for me
Answer:
See below ~
Step-by-step explanation:
Kindly note the 2nd equation in the above question formed will be :
2x + 4y = 20
The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :
x (number of chickens) = 6y (number of sheep) = 2Write 75 as a product of primes. Use index notation when giving your answer.
Answer:
3 times 5 times 5
What is the area of the triangle given below?
Answer:
26
Step-by-step explanation:
Grady's father is building a 15-meter fence with the start of the fence at coordinates (8,5) and the midpoint of the fence at coordinates
(3.5,-1). What are the coordinates of the other end of the fence
Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The midpoint of a segment is the mean of the coordinates of the endpoints, hence:
[tex]3.5 = \frac{x + 8}{2}[/tex]
x + 8 = 7
x = -1.
[tex]-1 = \frac{y + 5}{2}[/tex]
y + 5 = -2.
y = -7.
The coordinates of the other end of the fence are (-1,-7).
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We can use division to solve real-life problems, such as: We can use division to solve real-life problems, such as:
Answer:
we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally
Step-by-step explanation:
cause 20/5 = 4
x-y=5
3x+y=3 can you pleas help me find x and y
Answer:
x= 2, y= -3
Step-by-step explanation:
Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!
x -y= 5
Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.
x= y +5 -----(1)
3x +y= 3 -----(2)
Substitute (1) into (2):
3(y +5) +y= 3
Expand:
3y +15 +y= 3
4y= 3 -15
4y= -12
y= -12 ÷4
y= -3
Substitute y= -3 into (1):
x= -3 +5
x= 2
I have been stuck on this math equation for 15 minutes. Someone please help me!
Write the equation in standard form for the circle 3x^2+3y^2-54x+129=51y
Answer:
(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]
Step-by-step explanation:
Can someone please find the coordinates for these shapes? pls I will mark them with Brainliest pls
Answer:
What shapes?!?! I can help you if you add an image of the shapes :)
Step-by-step explanation:
Juan bought 48 ounces of nuts at the store. How much is this in pounds?
Eric and bianca are drawing a model of a city park in the cordinate
For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
What is a Coordinate system?In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the position of any given points.
Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
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Answer:
Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .
Bianca is correct.
Step-by-step explanation:
Hope this helps.
what least number should 27648 be divided so that the quotient will be a cube number
a) What percentage of 5³ is 5?
b) What percentage of 5³ is 5²?
Step-by-step explanation:
a) 5³= 5*5*5 = 125
5/125*100%
4%
b) 5²=5*5=25
25/125*100%
20%
inserts a digit to make numbers that are divisable by 24 if its possiable 38_36
Answer:
168
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 135 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 255 kilograms. How much does each type of box weigh?
Answer:
Small box = 9 Large box = 27
Step-by-step explanation:
135 divided by 5 = 27. 27 divided by 3 = 9
Repeat same process for second half of the equation.