x > 5
x ∈ [ 5 ; + oo )
Step-by-step explanation:–6x + 15 < 10 – 5x
15 - 10 < 6x - 5x
5 < x
x > 5
x ∈ [ 5 ; + oo )
Answer: x>5
Step-by-step explanation:
Given
-6x+15<10-5x
Add 6x on both sides (Addition property of equality)
-6x+15+6x<10-5x+6x
15<10+x
Subtract 10 on both sides (Subtraction property of equality)
15-10<10+x-10
5<x
x>5
Hope this helps!! :)
Please let me know if you have any question
A store is offering a 25% discount on all items.Also, employees get a 10% employee discount. If you are an employee which discount would you want to be applied first to save the most money?
The width of a rectangle measures (3.1s-1.6)(3.1s−1.6) centimeters, and its length measures (7.2s-4.6)(7.2s−4.6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. −6.2+10.3s B. −12.4+20.6s C. 1.5s+2.6 D. 5.2+3s
Answer:
B. -12.4 + 20.6s.
Step-by-step explanation:
Perimeter = 2*length + 2 * width
= 2(3.1s - 1.6) + 2(7.2s - 4.6)
= 6.2s + 14.4s - 3.2 - 9.2
= 20.6s - 12.4
= -12.4 + 20.6s.
[tex]\boxed{-12+20.6s}[/tex]
To find the perimeter of a shape, we add length + width + length + width (or length * 2 + width *2). So we would multiply the width, (3.1s - 1.6), and the length, (7.2s - 4.6), by 2, and then add them together to find the perimeter.
2(3.1s - 1.6) + 2(7.2s - 4.6)
This is equal to:
6.2s + 14.4s - 3.2 - 9.2
Simplified, this is equal to:
20.6s - 12.4
(We have to switch it around, but this answer is equal to option b.)
-12.4 + 20.6s
Tip: To simplify an equation, you add like terms. Like terms are numbers that have the same variables or exponents; for example, -4 and 3 are like terms, as well as 5^2 and 8^2. (Keep in mind, the variables and/or exponents have to be the same if you combine the like terms. Numbers with different variables and exponents can never be combined!)
1.A five pack of theater tickets cost $88.75 what is the unit price per ticket?
2.A 4 pack of monster cards costs $6.56, what is the unit price per card?
3.An 8 pack of stickers cost $0.64, what is the unit price per sticker?
4. An 9 pack of apple cost $6.30, what is the unit price per apple?
5. A 5 pack of muffins costs $6.25, what is the unit price per muffin?
6. A 9 pack of lollipops costs $5.85, what is the unit price per lollipop?
7. A 3 pack of batteries costs $ 4.65, what is the unit price per battery?
8. A 6 pack of pencils cost $4.80, what is the unit price per pencil?
9. A 2 pack of books costs $24.80, what is the unit price per book?
10. A 5 pack of stamps cost $5.95, what is the unit price per stamp?
11. An 8 pack of eggs costs $4.80, what is the unit price per eggs?
12. A 10 pack of candy bars costs $5.70, what is the unit price per candy bar?
Answer:
1. 17.75 per ticket
2. 1.64 per card
3. 0.08 per sticker
4. 0.07 per apple
5. 1.25 per muffin
6. 0.65 per lolipop
7. 1.55 per battery
8. 0.80 per pencils
9. 12.40 per book
10. 1.19 per stamp
11. 0.60 per egg
12. 0.57 per candy bar
Step-by-step explanation:
price divided by ammount
how many times does 1/4 go into 9/16
Answer as a fraction = 9/4
Answer in decimal form = 2.25
================================================
Explanation:
1/4 = 4/16 after multiplying top and bottom by 4
We have some number x such that
(4/16)x = 9/16
we can multiply both sides by 16 to clear out the fractions, getting 4x = 9
Then we divide both sides by 4 to get x = 9/4 = 2.25
please any tricks for solving bearings in maths
Answer:
A bearing is an angle, measured clockwise from the north direction. Below, the bearing of B from A is 025 degrees (note 3 figures are always given). The bearing of A from B is 205 degrees.
What’s 0.05 divided 8.5
Answer:
0.00588235294
Step-by-step explanation:
0.00588235294
Answer:
0.00588235294
Step-by-step explanation:
0.00588235294
0.00588235294
0.00588235294
0.00588235294
0.00588235294
0.00588235294
0.00588235294
0.00588235294
what is -3d + 8d - 5d simplified?
Answer:
0
Step-by-step explanation:
-3d + 8d - 5d
Combine like terms
5d -5d
0
Answer:
[tex]\Huge \boxed{0}[/tex]
Step-by-step explanation:
[tex]-3d + 8d - 5d[/tex]
Combining like terms:
[tex]\Rightarrow 5d- 5d[/tex]
[tex]\Rightarrow 0[/tex]
Use the following function rule to find f(-3.29).
f(x) = x + 2.58
Write your answer as a decimal or whole number.
f(-3.29) =
A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is the sum of the squared deviations of the scores from the mean?
Answer:
26
Step-by-step explanation:
The mean of a set of number is the average the set of number, it is the ratio of the total sum of the terms to the sum of terms.
The standard deviation is the variation of a set of numbers to their mean. A low standard deviation means the value are close to the mean and a high standard deviation means the values are far from the mean. The standard deviation is given as:
[tex]\sigma=\sqrt{\frac{\Sigma (x_i-\mu)^2}{n} }\\ \\\mu=mean,n=number\ of\ terms, \sigma=standard\ deviation[/tex]
Given the numbers:
86, 81, 87, 82. mean = μ = 84
[tex]\Sigma(x_i-\mu)^2=(86-84)^2+(81-84)^2+(87-84)^2+(82-84)^2=4+9+9+4=26[/tex]
Sum of squared deviations = 26
The sum of the squared deviations of the scores from the mean is 26.
-----------------------
The observations are: 86, 81, 87 and 82.The mean of the observations is 84.The sum of the squared deviations of the scores from the mean is the sum of the differences squared of each observation and the mean.Thus:
[tex]S_{ds} = (86-84)^2 + (81-84)^2 + (87-84)^2 + (82-84)^2 = 4 + 9 + 9 + 4 = 26[/tex]
The sum of the squared deviations of the scores from the mean is 26.
A similar problem is given at https://brainly.com/question/17327780
1. Select ALL of the sets to which the number belongs. * 5 6 Natural Whole Integer Rational Irrational
Answer:
5/6 is:
Rational
Step-by-step explanation:
Natural-All positive integers (5/6 does not apply)
Whole-All positive integers and zero (5/6 does not apply)
Integer- All positive and negative whole numbers and zero (5/6 does not apply)
Rational-All integers, fractions, and non-repeating decimals (5/6 applies)
Irrational-A real numbers that are NOT rational (5/6 does not apply)
what is the slope of the line?
Answer:
4/3
Step-by-step explanation:
Slope is rise/run so find two points and find the rise/run. (0,-1) and (4,2) so the slope would be 4/3
A school of salmon was swimming in the river 5 feet below the surface. To escape a hungry bear, they went down another 3 feet. What is the position of the salmon now relative to the surface?
Answer:
8 Feet below the surface
Step-by-step explanation:
If the salmon were initially 5 feet below the surface, and then travelled down an additional 3 feet from the initial 5, then the new position would be 8 feet down relative to the surface.
You can write this as -5 + -3 = -8, assuming that 0 represents surface level.
Cheers.
The distance of salmon from the surface of the water is 8 feet.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
The distance of school of salmon for the surface of the river = 5 feet.
Since, to escape a hungry bear, the school of salmon went down to 3 feet.
The position of the salmon to the surface = 5 + 3 = 8 feet.
The required distance of school of salmon from the surface of water is 8 feet.
To learn more about Mathematical operations on :
https://brainly.com/question/22469627
#SPJ2
What is the product of 4a and (-2b- 6a -4)?
Answer:
-8ab -24asquared-16a
Thats gonna get u ur answer
Step-by-step explanation:
Answer:
-8ab -24a^2 -16a
simplfied form
-8a(b+3a+4)
Step-by-step explanation:
What is another name for the set of natural numbers.
Another name for the set of natural numbers are counting numbers.
One angle of a parallelogram measures 45°. What are the measures of the other three angles
in the parallelogram?
Answer: 135, 45, and 135 are the three other angles
==================================================
Explanation:
For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.
simplify: (4x)(-x^2)(5x^3)
Answer:
-20 x^6
Step-by-step explanation:
(4x)(-x^2)(5x^3)
Multiply the numbers
4*-1 *5 = -20
Add the exponents
x^1 * x^2 * x^3
x^(1+2+3)
x^6
Multiply back together
-20 x^6
Answer:
The answer is
[tex] - 20 {x}^{6} [/tex]Step-by-step explanation:
(4x )( - x²)(5x³)
Expand the terms
That's
-4x³( 5x³)
Next multiply the numbers
That's
- 20( x³)(x³)
Using the rules of indices multiply the x's in the expression
That's
[tex] {a}^{x} \times {a}^{x} = {a}^{y + y} [/tex]So we have
[tex] {x}^{3} \times {x}^{3} = {x}^{3 + 3} = {x}^{6} [/tex]We have the final answer as
[tex] - 20 {x}^{6} [/tex]Hope this helps you
A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed
A) determine the angular velocity, w, in radians per second
B) how far does the the wheel in one minute
Answer:
8π radians/second527.8 metersStep-by-step explanation:
A) The angular velocity is the ratio of angular distance to time:
ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)
ω = 8π radians/second
__
B) The arc length is ...
s = rθ = rωt
s = (35 cm)(8π rad/s)(60 s) = 16,800π cm
s ≈ 52779 cm = 527.79 m
The wheel travels about 527.8 meters in one minute.
What are composite numbers
Answer:
When a number can be divided up exactly and is not a prime number , it is a Composite Number.
The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16,........
Hope it helps.
A room with poor air quality has a particle concentration of 80 units. A fan removes 50% of the remaining particles each hour. What is the particle concentration, in these same units, in the room after 2 hours?
Answer:
20 units
Step-by-step explanation:
Initial particle concentration = 80 units
Particles removed each hour = 50% of the remaining particles
To find:
Particle concentration after 2 hours = ?
Solution:
Particles removed in 1 hour = 50% of remaining particles
i.e. Particles removed in 1 hour = 50% of initial concentration
Particles removed in 1 hour = 50% of 80 = 40
Particles removed in next 1 hour = 50% of remaining particles
i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour
Particles removed in next 1 hour = 50% of 40 = 20
Total particles concentration removed in 2 hours = 40 + 20 = 60 units
Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours
= 80 - 60 = 20 units
Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as A and B
So far, segment CD is the same length as AB. So we can say AB = CD.
Let's keep going
Step 6) Place the nonpencil part of the compass at point D and draw another arc to intersect line CD. Make sure you do not intersect at point C, but rather the point on the other side of D. Call this point E. Step 7) Use a marker or pen to highlight everything from C to E. So you'll highlight segment CE. Erase everything else.Segment CE is composed of CD and DE, both of which are equal to AB. In other words, AB = CD = DE. Because CD = DE, and the two segments add up to CE, this must mean that CE is twice as long as CD. Therefore, CE is twice as long as AB.
See the diagram below for a visual summary.
cos60° = x divided by 16
x = 8
Step-by-step explanation:cos60° = x/16
1/2 = x/16
2x = 16
x = 16 : 2
x = 8
Answer:
[tex]\Huge \boxed{x=8}[/tex]
Step-by-step explanation:
[tex]\sf \displaystyle cos(60\° ) = \frac{x}{16}[/tex]
Multiplying both sides by 16.
[tex]\sf \displaystyle 16 \cdot cos(60\° )= \frac{x}{16} \cdot 16[/tex]
Simplifying the equation.
[tex]\sf \displaystyle 16 \cdot \frac{1}{2} = x[/tex]
[tex]\sf 8=x[/tex]
Given: Line segment PR/ Line segment TR is equal to Line segment QR/ Line segment SR.
Prove: Line segment PQ is parallel to Line segment ST.
Answer:
i think it will be helpful for you
Which value is larger -17 or -23
Answer: -17
Step-by-step explanation:
lan buys a two-quart bottle of juice for $6.40. What is the unit rate of the cost of the
juice per fluid ounce?
1 gallon 4 quarts
1 quart 2 pints
1 pint
1 cup = 8 fluid ounces
2 cups
Before you try that problem, answer the question below.
How
many fluid ounces of juice did Ian buy?
what is 16-(-)24+4 and does it equal 44
Answer:
yes, it equals 44
Step-by-step explanation:
16-(-)24+4=44
Answer:
it is 44
Step-by-step explanation:
2 minus's right by each other turn into a plus sign.
Is (x-4)
equivalent to (x – 4)2 ?
Answer:
No
Step-by-step explanation:
Is [tex](x-4)[/tex] equivalent to [tex](x-4)2[/tex] ?
So let's solve [tex](x-4)[/tex] .
Since there are no like terms, the answer would be
[tex]x-4[/tex]
Let's move on to [tex](x-4)2[/tex]
[tex](x+-4)+(2)[/tex]
Now let's separate.
[tex](x)(2)+(-4)(2)[/tex]
This equals
[tex]2x-8[/tex]
Both answer were not the same so therefore they are not equivalent.
Hope this Helps!
Simplify (please show work if possible) HELP!!
Answer:
See below.
Step-by-step explanation:
So we have the expression:
[tex]\sqrt{125a^2b^2}[/tex]
This is the same as:
[tex]=\sqrt{(5ab)^2\cdot5}[/tex]
Expand:
[tex]=\sqrt{(5ab)^2}\cdot\sqrt5[/tex]
The left term cancels:
[tex]=5|ab|\sqrt5[/tex]
Note that we need the absolute value bars because if a and/or b was negative in the original equation, they will turn positive. Thus, to keep things consistent, we must use the absolute value to make sure that a and b stays negative :)
Answer:
there is google!
Step-by-step explanation:
. The Barnaby Corporation issued 2,700,000 shares of stock at its beginning to shareholders.
How many shares must a shareowner own to have a majority of the shares?
Answer:
1,350,001 shares
Step-by-step explanation:
Barnaby corporation issued 2,700,00 shares of stock to its respective shareholders
A shareholder is required to own more than half of the share of the stock of a corporation inorder to have most of it.
This implies that the shareholder must have 50% + 1 inorder to attain the majority shares
Therefore, the number of shares that must by owned by a shareholder to have majority of the shares can be calculated as follows
= 50/100 × 2,700,000
= 0.5×2,700,000
= 1,350,000+1
= 1,350,001 shares
ASAP The table shows the number of pounds of green beans that Irma and Jeremiah each picked from their garden. How many total pounds of green beans did they pick?
Irma- 17 and Jeremiah - 29
Please help! I have very limited time to answer, but I am really stumped!
Answer:
A
Step-by-step explanation:
So we have the function:
[tex]f(x)=y=\sqrt[3]{x-2}+8[/tex]
To find the inverse of the function, we can flip x and y and then solve for y. Therefore:
[tex]x=\sqrt[3]{y-2}+8[/tex]
Solve for y to find our inverse.
Subtract 8 from both sides:
[tex]x-8=\sqrt[3]{y-2}[/tex]
Cube each side. The right cancels:
[tex](x-8)^3=y-2[/tex]
Add 2 to both sides:
[tex]y=(x-8)^3+2[/tex]
Therefore, our inverse is:
[tex]f^{-1}(x)=(x-8)^3+2[/tex]
The answer is A