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]
Two cylindrical soup cans have a volume of 40 cubic inches. Can their surface areas be unequal?
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
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?
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:
noel can wash 20 cars in 1.6 hours. How many cars can she wash in 4 hours?
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
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:
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
I need help with the quadratic formula questions.
Answer:
hope the answer in the picture helps you.
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.
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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
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.
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 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.
Which equation is true?
O 1150) = - 150
01 - 150 = 150
- 150 = 150
O-1 - 150= 150
THe 3rd equation is true
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.
What's 9 in index form
Answer:
3²
Step-by-step explanation:
solve the system of equations
−4x−3y=-21
x=y
Answer: x and y = 3
Step-by-step explanation:
helpppp plzzzzzzzzzzzzzzz
Answer:
y= 0.2(0.05)^x
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
Last one... hehe- sorry
Answer:
113
Step-by-step explanation:
I have no idea Imao
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)
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 :)
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 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)
Pls help i dont understand
What makes a linear pair with 84°?
Answer:
as per linear pair axiom it will be X + 84= 180
this answer is 106 degrees
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)
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: