Answer:
(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]
Step-by-step explanation:
Given
Pairs of inequalities
Required
Select which is equivalent
(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]
Multiply both sides of [tex]x-5> 4[/tex] by 2
[tex]2 * (x - 5) > 4 *2[/tex]
[tex]2 * x - 2*5 > 4 *2[/tex]
[tex]2x - 10 > 8[/tex]
Hence: [tex]x-5> 4[/tex] is equivalent to [tex]2x - 10 > 8[/tex]
(b): [tex]x-5> 4[/tex] and [tex]2x+10 >8[/tex]
Multiply both sides of [tex]x-5> 4[/tex] by 2
[tex]2 * (x - 5) > 4 *2[/tex]
[tex]2 * x - 2*5 > 4 *2[/tex]
[tex]2x - 10 > 8[/tex]
Hence: [tex]x-5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]
(c): [tex]x+5> 4[/tex] and [tex]2x+10 <8[/tex]
Multiply both sides of [tex]x+5> 4[/tex] by 2
[tex]2 * (x + 5) > 4 *2[/tex]
[tex]2 * x + 2*5 > 4 *2[/tex]
[tex]2x + 10 > 8[/tex]
Hence: [tex]x+5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]
what is the area of DEF
Answer:
yo you know you can use the brainly scan &solve
Answer:
240 cm^2
find the scale factor of the length
k=20/6=3.33...
multiply the area of triangle ABC by the scale factor so 72 x 3.333..=240
A family went out to eat. The bill is $65.82. The family wants to leave a 20% tip. How much tip will be added on to the cost of dinner?
Answer:
$13.16
Step-by-step explanation:
solve the system of equations
−4x−3y=-21
x=y
Answer: x and y = 3
Step-by-step explanation:
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).
Answer:
Area of the shaded region = 16(π - 2) in²
Perimeter of the shaded region = 4(π + [tex]2\sqrt{2}[/tex]) in
Step-by-step explanation:
Since, BDC is a quarter of the circle with radius = 8 in.
Area of the quarter of the circle = [tex]\frac{1}{4}(\pi)(r)^2[/tex]
= [tex]\frac{1}{4}(64)\pi[/tex]
= 16π in²
Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(8)(8)[/tex]
= 32 in²
Since, area of the shaded part = Area of quarter of the circle - Area of triangle BCD
= (16π - 32)
= 16(π - 2) in²
Therefore, area of the shade region = 16(π - 2) in²
Similarly, length of arc BD = [tex]\frac{1}{4}(2\pi r)[/tex]
= [tex]\frac{8\pi }{2}[/tex]
= 4π in.
Length of the diagonal of a square = (Side)√2
= 8√2 in
Perimeter of the shaded region = Length of arc BD + Length of diagonal BD
= 4π + 8√2
= 4(π + 2√2) in.
The function (n) = nr can be used to find the volume of air inside a basketball given its radius. What does V(r)
represent?
O the radius of the basketball when the volume is V
O the volume of the basketball when the radius is r
O the volume of the basketball when the radius is V
the radius of the basketball when the volume is r
Answer:
I believe it represents the volume of the basketball when the radius is r?
Nayeli brought Jamba Juice smoothies for herself and Evelyn after school one day the smoothies cost 4.95 each plus 8.5% tax how much charge did she receive from a $20 bill
Answer: $9.26
Step-by-step explanation:
The total cost for each of their smoothies was:
= 4.95 * 2
= $9.90
Including taxes it will rise to:
= 9.90 * (1 + tax)
= 9.90 * (1 + 8.5%)
= $10.74
Change she will receive is:
= 20 - 10.74
= $9.26
What is 70*3/4 explain how you got your answer
When you multiply a whole number by a fraction, multiply the whole number by the numerator, then divide that by the denominator.
70 x 3/4 = (70 x 3) /4 = 210/4 = 52.5
Answer:
105/2 simplified - 52 1/2
Step-by-step explanation:
I got this answer by turning 70 into a fraction - 70/1 and using cross multiplication.
noel can wash 20 cars in 1.6 hours. How many cars can she wash in 4 hours?
Explain how to recognize when a system of equations has no solution.
Answer:
A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
Answer:
Compare the slopes and y-intercepts of the two equations by putting them in slope-intercept form. If the slopes are equal, but the y-intercepts are different, then the lines are parallel and have no solution because they do not intersect at any point.
Step-by-step explanation:
Thats the sample answer on edge :)
Last one... hehe- sorry
Answer:
113
Step-by-step explanation:
I have no idea Imao
what is the absolute vaule of the number you wrote as an answer to number 1
Answer:
Just remove the Negative from the number you got for question #1
Example:
|19| = 19
|-19| = 19
|8.2| = 8.2
|-7.8| = 7.8
helpppp plzzzzzzzzzzzzzzz
Answer:
y= 0.2(0.05)^x
Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.
Answer: one hosta = $5
One shrub = $8.
Step-by-step explanation:
Let the cost of one hosta be h
Let the cost of one shrub be s
Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:
8h + 5s = 80 ..... i
Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:
9h + 5s = 85 ..... ii
8h + 5s = 80 ..... i
9h + 5s = 85 ..... ii
Subtract i from ii.
h = 5
The cost of one hosta is $5
Since 8h + 5s = 80
8(5) + 5s = 80
40 + 5s = 80
5s = 80 - 40
5s = 40
s = 40/5 = 8
One shrub cost $8.
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
Enter your next step here
Skip step
Atilla Tektas - Unit...pdf
Answer:
2x + 7= 4x + 17
7=2x+17
-10=2x
-10/2=2x/2
x=−5
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
Two cylindrical soup cans have a volume of 40 cubic inches. Can their surface areas be unequal?
9 + 2y = 2 - 3y
3 - 11x = 9 + 5x
4 - 7m = 12 - 3m
12 - (-9v) = 8 - 4v
Answer:
Multiple answers (image of work & answers below)
Step-by-step explanation:
A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Answer:
The equation of the Parabola
(y - 6 )² = 8 (x -6)
Step-by-step explanation:
Step(i):-
Given directrix x = 4
we know that x = h - a = 4
h -a = 4 ...(i)
Given Focus = ( 8,6)
we know that the Focus of the Parabola
( h + a , k ) = ( 8,6)
comparing h + a = 8 ...(ii)
k = 6
solving (i) and (ii) and adding
h - a + h+ a = 8 +4
2 h = 12
h =6
Put h = 6 in equation (i)
⇒ h - a =4
⇒ 6 - 4 = a
⇒ a = 2
Step(ii):-
The equation of the Parabola ( h,k) = (6 , 6)
( y - k )² = 4 a ( x - h )
(y - 6 )² = 4 (2) (x -6)
(y - 6 )² = 8 (x -6)
Simplify (right answer only ) : 2(x – 9)
Answer:
2x-18
Step-by-step explanation:
2(x-9)
distribute the 2 in the ( )
2x-18
Hope this Helps!!!
What's 9 in index form
Answer:
3²
Step-by-step explanation:
helpppppppppppp???????????????????????????????????????????????\\
How does hiphop use energy as a element of dance PLEASE ANSWER
Answer:
Energy can happen with movement. Dance requires a bunch of movement.
dancing is the use of force, tension, and weight.
Which equation is true?
O 1150) = - 150
01 - 150 = 150
- 150 = 150
O-1 - 150= 150
THe 3rd equation is true
Graph the line.
Y+4=1/5(x-1)
Answer:
graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points
Step-by-step explanation:
These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False
Answer:
False
Step-by-step explanation:
to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear
between (-2, -9) and (0, -4):
m=(y2-y1)/(x2-x1)
=(-4-(-9))/(0-(-2))
=5/2
between (0, -4) and (3,6):
m=(y2-y1)/(x2-x1)
=(6-(-4))/(3-0)
=10/3
because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)
Pls help i dont understand
Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must have to earn at least $3500 in a month?
Answer:
The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
Explanation: The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
Solution:
The expression to Michael earnings is:
Where,
b is the base salary, which is $ 900 in this sum
c is the commission rate
Given that commission rate is 5%
Michael must have to earn at least $2500 in a month
Here, at least means, "greater than or equal to" 2500
The inequality is framed as:
base salary + 5 % on sales 2500
Solve the inequality
Therefore minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
What is the sum of (8a+2b-4)
Answer:
2(4a+b-2)
Step-by-step explanation:
All you need to do is factor out 2 from the expression. (sorry if this is wrong)
I need help with the quadratic formula questions.
Answer:
hope the answer in the picture helps you.
What makes a linear pair with 84°?
Answer:
as per linear pair axiom it will be X + 84= 180
this answer is 106 degrees