Answer:
0, 5, 10
Step-by-step explanation:
You can solve the inequality to determine what values to select.
28 -7x ≤ -4(-7x -7) . . . . . . given
28 -7x ≤ 28x +28 . . . . . . eliminate parentheses*
-7x ≤ 28x . . . . . . . . . . . . . subtract 28 from both sides
0 ≤ 35x . . . . . . . . . . . . . . add 7x to both sides
0 ≤ x . . . . . . . . . . . . . . . . . divide by 35
So, all values that are 0 or greater will make the inequality true:
0, 5, 10
_____
* Parentheses are eliminated using the distributive property. The factor outside parentheses multiplies each of the terms inside. Pay attention to signs.
-4(-7x -7) = (-4)(-7x) +(-4)(-7) = 28x +28
A 12" diameter ball rolls around inside the bottom of a rectanglar bow that is 14" wide and 30" long.The ball always touches the side of the box. Make a sketch of the ball in several positions. What is the shape of the path of the center of the ball? How ling is the path?
Answer:
1. Shape of line drawn by round ball is: Rectangle
2. Length of path round ball creates is: 64 inches
Step-by-step explanation:
The perimeter of the box is 30+30+14+14 = 88 inches.
We find a rectangle path of the round ball to be interior rectangle shape and measures 64 inches.
The shape of the path is rectangle, this is because when the balls direction from horizontal to vertical is drawn from the central line to the ball - the ball still rotates but such central line stays stationary in a straight line at same distance from edge as it changes direction so therefore it stays perpendicular and creates a rectangle shape. Only an oval ball would draw a line of oval shape due to its central line curving against the perpendicular edge of the rectangle. The round ball cannot create a square shape as the sides of the rectangle when reduced by 6'' + 6'' either side of length 30 = 18 inches and is still longer than the shorter sides of the box being 14'' which becomes 14- 6=8 inches to each side.
2. To find the path length- we look for the difference in width of the central ball first which is 12'' divided by 2 = 12/2 = 6 = 6 inches. We can then deduct this from 14'' and from 30'' then multiply by 2.
Width of one side = 14-6 = 8
= 8 inches
Length of one side = 30-6 = 24
= 24 inches
We add together 8+24 = 32, and then multiply by 2
32 *2 = 64
*PLEASE ANSWER TY* What is the volume of this prism?
Answer: B. 23.9 cm³
Step-by-step explanation:
V = AH
A (area of the triangle base): 6×3÷2=9cm²
H (height of the prism): 2.65 cm
------------------------
V = AH
V =(9) (2.65)
V = (23.85)
V= 23.85cm²
≈23.9
What is the area, in square inches, of the isosceles trapezoid below?
17.9 in
18 in
8.3 in
Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
Arrange four 3's to produce 18.
What is the answer
Answer: 3*3 + 3*3 = 9 + 9 = 18
You would use trial and error for this type of problem. Often parenthesis are involved to change the order of operations, but no parenthesis are needed here.
Maximum variation sampling is: Multiple Choice the number of times a researcher will ask an individual to participate in a research project. based on informational redundancy; a researcher seeks participants until the data received are the same as previously collected data. a form of probability sampling. the degree to which the sample varies from the population on important characteristics. the number of variables included in the research design.
Answer:
the degree to which the sample varies from the population on important characteristics.
Step-by-step explanation:
Maximum variation sampling is a sampling method in which the sample is made up of extremes. The sample is usually chosen in such a way that reflects a wide degree of diversity in a population.
Maximum variation sampling is used;
When the purpose is to understand the view of diverse groups of people on a particular topic.
When the researcher doesn't know much about the population
When the researcher wants the responses to be as diverse as possible.
30 term of AP 1,7,4 is
Correct Question
30th term of AP 10, 7, 4 is
Answer:
The 30th term is -77
Step-by-step explanation:
Required
Determine the 30th term of the given progression
First, we need to determine the common difference (d);
[tex]d = T_2 - T_1[/tex]
[tex]d = 7 - 10[/tex]
[tex]d = -3[/tex]
The nth term of an AP is calculated by
[tex]T_n = a+ (n -1) d[/tex]
In this case;
n = 30;
a = First term = 10
d = -2
Substitute these values in the given formula
[tex]T_{30} = 10+ (30 -1) * -3[/tex]
[tex]T_{30} = 10+ (29) * -3[/tex]
Open the bracket
[tex]T_{30} = 10-87[/tex]
[tex]T_{30} = -77[/tex]
Hence, the 30th term is -77
Pls help if you’re good at trigonometry tysm! Best answer is brainliest!
Answer:
7) a = 65; b = 50
8) c = 125; d = 55; e = 52
9) f = 105
Step-by-step explanation:
7)
a = 65
b + 130 = 180
b = 50
8)
c = 125
d + 125 = 180
d = 55
e = 52
9)
(180 - f) + 32 + (180 - 107) = 180
180 - f + 32 + 180 - 107 = 180
-f + 285 = 180
-f = -105
f = 105
Answer:
a = 65, b = 50, c = 125, d = 55, e = 52, f = 105, g = 128, h = 40, j = 21, k = 71
Step-by-step explanation:
7. a = 65 degrees - (corresponding angles theorem) b = 50 degrees - (because of same sided interior angles theorem you have to do 180 - 130)
8. c = 125 (corresponding angles theorem) d = 55 (c & d are a linear pair so you have to do 180-125) e = 52 (alternate interior angles theorem)
9. f = 105 (Because of alternate interior angles theorem the angle that is 32 degrees and the angle next to it is 107. Next subtract 32 from it, which will make it a 75 degree angle. Lastly to find f use same sided interior angles theorem, this means subtract 180-75)
10. h = 40 (because of vertical angles theorem the other angle in the triangle is 52 degrees. Now find add 88 + 52 = 140, then subtract it from 180) g = 128 (same sided interior angles theorem)
11. j = 21 (First find the missing angle in the triangle. To do that add up all of the angles and then subtract it from 180. This makes the missing angle 39. Now subtract that from 60)
12. k = 71 (Since this is an isosceles triangle the 2 base angles will be congruent. Because of same sided interior angles theorem subtract 148 from 180, making it 32. We are trying to find the top angle of the triangle so add 32 + 110 = 142. Then subtract it from 180, 38. Now subtract 38 from 180, 142. Lastly divide it by 2, 71.)
Help!!!!!!!!!!!!!!!!!!!!
======================================================
Explanation:
Solve each inequality for x
[tex]5x \ge 20[/tex] solves to [tex]x \ge 4[/tex] after dividing both sides by 5
[tex]x+14 < 16[/tex] solves to [tex]x < 2[/tex] after subtracting 14 from both sides
The original system solves to [tex]x \ge 4 \ \text{ or } \ x < 2[/tex] which is the same as [tex]x < 2 \ \text{ or } \ x \ge 4[/tex]
So x is either less than 2, equal to 4, or larger than 4.
The graph that fits the description above is Choice B. We have an open hole at x = 2 to show we don't include this value. In contrast, there's a filled in hole or closed circle at x = 4 to include this value. The blue shaded region is the set of all possible x values, so we shade to the left of x = 2 and to the right of x = 4.
----------------------
Side note: I don't know why your teacher thought it was a good idea to make the answer choice tiles be larger than the actual problem itself. It should be the other way around. Though to be fair, it's probably a design choice that your teacher wasn't involved in.
the market Price of led tv is rs 25000 how much should is customer pay to buy it is 13 percentage vat is levied after 10 percent discounts
Answer:
hii
Step-by-step explanation:
how are you hope you are fine
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{\boxed{ \: Rs \: 25425}}}}}[/tex]Step-by-step explanation:
Given,
Marked Price ( MP ) = Rs 25000
Vat percent = 13 %
Discount percent = 10 %
▪️Finding the discount amount
Discount amount = Discount % of MP
= 10 % of 25000
= Rs 2500
▪️Finding the Selling price
Selling price ( SP ) = MP - Discount amount
= Rs 25000 - Rs 2500
= Rs 22500
▪️Finding the Vat amount
Vat amount = Vat % of SP
= 13 % of 22500
= Rs 2925
▪️Finding the SP with VAT
SP with vat = SP + Vat amount
= Rs 22500 + Rs 2925
= Rs 25425
Hope I helped !
Best regards!!
f(x) = x-2
g(x) = x2+1
Find (f - g)(2)
Answer: I think the answer is -x^2+x-6
Step-by-step explanation: I think it's like this as it is in the image below. I hope it's right and helps you!
A partnership owned equally by 15 partners is worth $1.5 million. The partnership loses a lawsuit
worth $5 million. What is the value of any personal property each partner must forfeit to pay the
settlement?
Answer:
Hey there!
5000000-1500000=3500000
3500000/15=$233333.33
Your answer should be $233333.33
Let me know if this helps :)
Plz help only given 5mins tell how they are similar by 1.sas 2.aa 3.sss 4.asa
Answer:
2. aa
Step-by-step explanation:
youre given all the angles so its proven to be similar by angle angle
Answer:
aa
Step-by-step explanation:
The two triangles have angles that are equal so we need to use the angles to prove similarity
We have all three angles that are equal
We only need two angles to use the AA postulate of similarity, which is if two angles are the same then the triangles are similar
What is the minimum point of the graph???
Answer:
(-2,1)
Step-by-step explanation:
Since this is an upwards opening parabola, the minimum point is at the vertex
We can find the x coordinate of the vertex by
y = 2x^2 +8x +9
where a=2 b =8 and c =9
x = -b/2a
x = -8/(2*2)
= -8/4 = -2
The x coordinate is -2
Now substitute this in to find the y coordinate
y = 2(-2)^2 +8(-2)+9
= 2*4 -16+9
8-16+9
=1
The vertex = (-2,1), which is the minimum point
Answer:
Step-by-step explanation:
y=2x²+8x+9
to find the minimum or maximum point x=-b/2a
x=-8/4=-2
y=2(-2)²+8(-2)+9
y=8-16+9
y=1
minimum point is (-2,-1)
Find the area the sector.
Answer:
34π/3 (= 11.3 π ) mi²
Step-by-step explanation:
(see attached for reference)
area of sector is given by:
A = (θ/360) π r²
where
θ = angle of sector (given as 255°)
r = radius (given as 4 miles)
substituting the known values into the formula:
A = (θ/360) π r²
A = (255/360) π (4)²
A = (255/360) π (16)
A = 34π/3 mi²
A = 11.3 π mi²
edit: expressed answer in improper fraction form to match answer choices.
Find the degree of the monomial.
-1.75k2
Answer:
The degree of this monomial is 2.
Step-by-step explanation:
This is because the degree of a monomial (or a polynomial, binomial) is equal to the degree (exponent) of the term in the monomial. In polynomials, it would be the degree of the term with the HIGHEST degree.
-1.75k^2
The exponent is two, so the degree is two.
Hope this helped!!!
uses of water who to right this essay
Step-by-step explanation:
Water makes up more than half of our body weight. Without water, all organisms in the world would die. Water is necessary not only for drinking but also for our day to day life purposes like bathing, cooking, cleaning, and washing and so on. We cannot imagine a life without water.
It is important to re-evaluate financial goals periodically. In which of the following situations would it be necessary to change an existing financial goal?
Answer: A Edge
You fell sharply behind your expected schedule with regard to saving
Look your test
Step-by-step explanation:
X/8 - 1/2 = 6 its really hard and my teacher and I never went over it
Answer:
X = 52
Step-by-step explanation:
X / 8 - 1 / 2 = 6
X / 2³ - 1 / 2 = 6
X + 4( -1) / 2³ = 6
X - 4 = 48
X = 48 + 4
X = 52
You have \$20$20dollar sign, 20 to spend on taxi fare. The ride costs \$5$5dollar sign, 5 plus \$2.50$2.50dollar sign, 2, point, 50 per kilometer. Write an inequality to determine the distance in kilometers, ddd, you can ride for \$20$20dollar sign, 20. What is the maximum distance, in kilometers, you can ride for \$20?$20?
Answer:
The answer is 8 kilometers.
Step-by-step explanation:
Let X be the total cost of the taxi fare and Y be the distance traveled. If the taxi fare costs $5, $2.5 for each kilometer, we can write an inequality such as
X = 2.5 x Y.
If the total amount of money for the ride is $20, when we put it into the inequality, 20 = 2.5 x Y
Y = 20 / 2.5 = 8.
For $20 you can ride for a maximum distance of 8 kilometers.
I hope this answer helps.
Answer:
Equation: 5+2.5d≤20
Kilometers: 6
Step-By-Step Explanation
Answer for Khan Academy and also correct for sure promise ;)
There are 20 balls in a bag. Ten of the balls are red, 4 are green, and the rest are yellow. Which ratio represents the number of yellow balls to red balls?
Answer:
6:10 is the ratio
Step-by-step explanation:
hope this helps
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $ 3.25 $3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $ 30 $30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 4 44 pancakes for $ 5.50 $5.50dollar sign, 5, point, 50. Let S SS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 3.25 + S ≤ 30 3.25+S≤303, point, 25, plus, S, is less than or equal to, 30 (Choice B) B 3.25 + S ≥ 30 3.25+S≥303, point, 25, plus, S, is greater than or equal to, 30 (Choice C) C 3.25 + 5.50 S ≤ 30 3.25+5.50S≤303, point, 25, plus, 5, point, 50, S, is less than or equal to, 30 (Choice D) D 3.25 + 5.50 S ≥ 30 3.25+5.50S≥303, point, 25, plus, 5, point, 50, S, is greater than or equal to, 30 2) What is the largest number of pancakes that Benjamin can afford? pancakes Show Calculator
Answer:
The correct option is;
C. 3.25 + 5.50·S ≤ 30
Step-by-step explanation:
The given parameters are;
The cost of the chocolate milk ordered = $3.25
The unit quantity of pancake sales = Stack
The number of pancakes in a stack = 4
The amount a stack of four pancakes is sold = $5.50
The number of pancakes Benjamin wants to buy = As many as he can
The number of stacks of pancakes Benjamin buys = S
The cost of the pancakes Benjamin buys = $5.5 × S
The cost of the number of pancakes Benjamin buys
The maximum amount Benjamin wants his bill to amount to = $30
Therefore we have;
The cost of chocolate milk ordered + The cost of pancakes Benjamin buys ≤ $30
Which gives;
$3.25 + $5.50 × S ≤ $30
Therefore, the correct option is 3.25 + 5.50·S ≤ 30.
f(x) = 5-3x find f(2)
Answer:
f(x) = -1
Step-by-step explanation:
f(x) = 5-3x
Put x = 2
f(x) = 5-3(2)
f(x) = 5-6
f(x) = -1
Answer:-1
Step-by-step explanation:
f(2)=5-3(2)
f(2)=5-6
f(2)=-1
solve -10=4x show work please :D
Answer:
-2.5 = x
Step-by-step explanation:
-10 = 4x
the equation between 4 and x is multiplication
as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x
Therefore,
-10 = 4x
-10/4 = x
Simplify into decimal if needed
-2.5 = x
Hope that helped!!! k
Answer:
[tex]\Large \boxed{{x =- \frac{5}{2} }}[/tex]
Step-by-step explanation:
We need to isolate the [tex]x[/tex] variable on one side of the equation to find the value of [tex]x[/tex] that makes the equation true.
[tex]-10=4x[/tex]
Divide both sides of the equation by 4.
[tex]\displaystyle \frac{-10}{4} =\frac{4x}{4}[/tex]
Simplify the equation.
[tex]\displaystyle \frac{-5}{2} =x[/tex]
A class had 6 students absent one Monday. This was 2/7 of the entire class. How many students were present that day?
Answer:
21 students
Step-by-step explanation:
Let c = number of students in class
c* 2/7 = 6
Multiply each side by 7/2
c * 2/7 *7/2 = 6 *7/2
c = 21
There are 21 students in the class
Two cubes each measure 7 units on each side.Write an expression using exponents to represent the total volume of the cubes.
Your answer:
Answer:
(7³ + 7³) cubic units
Step-by-step explanation:
The formula for the volume of a cube = (Side length)³
From the question, we are told that, we have two cubes
Cube 1 :
Side length = 7
Volume of cube 1 = 7³ cubic units
Cube 2
Cube 2 also has a side length of 7 as well
Volume cube 2 = 7³ cubic units
We are asked in the question to find the total volume of the cube and express as exponents
Total volume = Volume of cube 1 + Volume of cube 2
=( 7³ + 7³) cubic units
What is the median, 35,27,51,31,28,19,33
Answer:
26 should be the median
Step-by-step explanation:
is what I got
A Local clothing shop is marking down all of its summer clothes by 75%. Keesha would like to purchase a swimsuit that is originally priced at $80. What is the markdown price of the swimsuit?
Answer:
Markdown price is $60.
Step-by-step explanation:
The discount offered on the cloths by the clothing shop = 75%
Since we know that the markdown price is the amount by which the original price is decreased. So, the markdown price can be calculated by multiplying the original price with a discount rate. Here, below is the calculation.
Markdown price = $80 × 75% = $60
7. 3x +1 =5x simplified
Step-by-step explanation:
3x + 1 = 5x
Bringing like terms on one side
1 = 5x - 3x
1 = 2x
1/2 = x
Answer:
x = 1/2
Step-by-step explanation:
Step 1: Write out equation
3x + 1 = 5x
Step 2: Subtract 3x on both sides
1 = 2x
Step 3: Divide both sides by 2
x = 1/2
solve the following equation for D. be sure to take into account whether a letter is capitalized or not.
hD=m
Answer:
b
Step-by-step explanation:
The expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
hD = m
To solve for D make the subject as D
As we know the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Divide by h on both the sides:
hD/h = m/h
Here h ≠ 0
D = m/h
Thus, the expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Please help! I need the details for the transformations.
Answer:
its flipped over the y axis and then it goes 6 to the right and 6 up. To find how they are congruent, just use Pythagorean theorem to find the side lengths for each side and say that by using the rule SSS or side side side you know that the triangles are the same.
Step-by-step explanation:
to find the side length with Pythagorean theorem for example for side DE, side DE is basically the hypotenuse of the triangle to just count the height and base using the graph and in this case it would be h=6 b=3 and then use the Pythagorean theorem to find the actual side length of the line, which would be √45.