Given:
The inequality is
[tex]x-(5-3x)\leq 2x-1[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]x-(5-3x)\leq 2x-1[/tex]
[tex]x-5+3x\leq 2x-1[/tex]
[tex]4x-5\leq 2x-1[/tex]
Subtract 2x from both sides.
[tex]4x-5-2x\leq 2x-1-2x[/tex]
[tex]2x-5\leq -1[/tex]
Add 5 on both sides.
[tex]2x-5+5\leq -1+5[/tex]
[tex]2x\leq 4[/tex]
Divide both sides by 2.
[tex]x\leq 2[/tex]
It means, the numbers less than 2 or 2 are included in the solution set.
Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.
Therefore, the correct option is D.
2.5 as a simplified fraction
Answer:
I believe it would be 5/2
Solve the equation s = a + lw for the variable w
Answer:
w= [tex]\frac{-a+s}{l}[/tex]Step-by-step explanation:
Let's solve for w.
s=a+lw
Step 1: Flip the equation.
lw+a=s
Step 2: Add -a to both sides.
lw+a+−a=s+−a
lw=−a+s
Step 3: Divide both sides by l
[tex]\frac{lw}{l} =\frac{-a+s}{l}[/tex]
Lisa was throwing a dart at a target. She threw 50 times with her left hand and 50 times with her right hand. The histograms show the distance Lisa missed the target by each time. Make an inference about which hand Lisa has better aim with based on the median of each data set. Justify your response.
Answer:
The answer is "More accurately is the left hand".
Step-by-step explanation:
In the given-question when we look at the given equation and see its given graph. This graph offers a much more reliable right hand because it has a smaller distance than that of the left. That being said, the left hand never surpassed the target, again and again, that's why the above given choice is correct.
C) A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each, she can sell 300 plates, but for each GH¢5 she raises the price, 10 less plates are sold. What price in GH¢ should she sell the plates to maximize her revenue?
Answer:
Maximum price = GH¢85
Step-by-step explanation:
Let p be the number of times she raises the price as well as the number of times 10 less plates are sold
Revenue, R = number of plates sold * price sold
R = (300 - 10p)(20 + 5p)
R = 6000 + 1500p - 200p - 50p²
R = 6000 + 1300p - 50p²
50p² - 1300p - 6000 = 0
p² - 26p - 120 = 0
finding the axis of symmetry, p = -b/2a
p = -(-26)/2*1
p = 13
Maximum price = 13 * 5 + 20 = GH¢85
Number of plates sold = 300 - 10 * 13 = 170 plates
Maximum revenue = GH¢85 * 170 = GH¢14,450
The value of y varies directly with x and y= 125 when x = 25. what is the value of y when x=2?
Answer:
Y = 10
Step-by-step explanation:
As, Y / X = 125/25
125/25 = 5
Therefore, y = 5x
So when x = 2
Y = 5x
So, Y = 5x2
Therefore, Y = 10
[y] will be equivalent to 10, if [x] is equal to 2
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
Given is the value of [y] varies directly with [x] and y = 125 when x = 25.
Using the formula for direct proportionality -
y₁/x₁ = y₂/x₂
125/25 = y₂/2
y₂ = (125 x 2)/25
y₂ = 5 x 2
y₂ = 10
Therefore, [y] will be equivalent to 10, if [x] is equal to 2
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Help step by step plz :)
Answer:
182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya
Step-by-step explanation:
hakdog ses dog
Lili has saved $2,500 money from her part time job at a bakery. Since she will not need this money for a few years, she decides to put the money in a 3-year CD (Certificate of Deposit) at a local credit union. The credit union offers Lili 2.75% APR, compounded quarterly. How much will Lili's CD be worth at the end of the 3 years?
Answer:
Lili's CD be worth at the end of 3 years is $2714.23
Step-by-step explanation:
Lili deposit $2500 at the Annual percent rate 2.75% and for 3 years compounded quarterly.
Let's use formula
A = p[tex](1+\frac{r}{n} )^{n*t}[/tex]
From the given information
p=2500
r =0.0275
t=3
n=4
Plug in these values into the formula
A=2500[tex](1+\frac{0.0275}{4})^{4*3}[/tex]
Simplify the right side of the equation,
A=$2714.23
Help Help Help!!!!!!!!!!!
Answer:
1)B
2)G
3)B
4)F
5)D
Multiply. Use the greatest common factor to write each answer in simplest form. 32 x 3/8
Answer:
12
Step-by-step explanation:
Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
Answer:
Step-by-step explanation:
If she has 84 candles and 48 holders, we can write out the factors of both values as shown
For candles
84 = 2×2×3×7
84 = 12×7
For 48
48 = 2×2×2×2×3
48 = (2×2)×(2×2×3)
48 = 4×12
48 = 12×4
From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12
The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.
The sum of two consecutive integers is no more than 17. What is the largest possible value for the greater integer?
a. 7 b. 10
C. 9 d. 6
PLEASE HELP I NEED AWNSER ASAP
Answer:
B
Step-by-step explanation:
8th graders IQR-5
9th graders IQR-8
So, 8th Graders IQR is 3 less than 9th Graders IQR
The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n, cubed, plus, 14, n, squared. The width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,6n 4 ,20n 3 ,6, n, start superscript, 4, end superscript, comma, 20, n, cubed, comma and 14n^214n 2 14, n, squared. What is the length and width of the rectangle?
Given:
Area of rectangle = [tex]6n^4+20n^3+14n^2[/tex]
Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex].
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex] is
[tex]6n^4=2\times 3\times n\times n\times n\times n[/tex]
[tex]20n^3=2\times 2\times 5\times n\times n\times n[/tex]
[tex]14n^2=2\times 7\times n\times n[/tex]
Now,
[tex]GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2[/tex]
So, width of the rectangle is [tex]2n^2[/tex].
Area of rectangle is
[tex]Area=6n^4+20n^3+14n^2[/tex]
Taking out GCF, we get
[tex]Area=2n^2(3n^2+10n+7)[/tex]
We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is [tex]2n^2[/tex], therefore length of the rectangle is [tex](3n^2+10n+7)[/tex].
How do you write a linear equation given the slope and a point that
is not the y-intercept?
Edge 2020
Answer:
point slope form
Step-by-step explanation:
hi! we can use point slope form:
y-y1=m(x-x1)
where m is the slope, x1 is the x-coordinate of the given point, and y1 is the y-coordinate of the given point.
example:
slope is 4
ordered pair is (2,3)
y-3=4(x-2)
y-3=4x-8
y=4x-5
hope this helps!
Classify the number: -135
Answer:
Integer, Rational number, Real number
Step-by-step explanation:
an estimation we are told 5 miles is 8 km.
Convert 96 km to miles
Answer:
60 miles.
Step-by-step explanation:
5/8=x/96
8x=480
x=60
You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years
Answer:
2,391 paid altogether. The interest Rate was another 391 dollars.
Step-by-step explanation:
When doing a throw in how many of your feet should be touching the ground.
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length 1/2in and 1/6in. The actual tiles have length 2/3ft and 2/9ft. What is the ratio of the length of a tile in the model to the length of actual tile? What is the ratio of the area of tile in the model to the area of an actual tile?
Answer:
Ratio of the lengths = 1 : 16 and 1 : 15.71
Ratio of the Area = 1 : 251.29
Step-by-step explanation:
Model = 1/2in and 1/6in.
Actual = 2/3ft and 2/9ft.
1 ft = 12 inches
2/3 ft = 8 inches
2/9 ft = 2.67 inches
Model = 0.5 inches and 0.17 inches
Actual = 8 inches and 2.67 inches
Ratio
0.5 : 8 and 0.17 : 2.67
= 0.5 / 8 and 0.17 / 2.67
= 1 / 16 and 1 / 15.71
= 1 : 16 and 1 : 15.71
Area of the tile in the model = length × width
= (0.5 × 0.17) inches
= 0.085 inches
Area of the actual tile = length × width
= (8 × 2.67) inches
= 21.36 inches
Ratio of the area
0.085 : 21.36
= 0.085 / 21.36
= 1 : 251.29
What does it mean by "interpret its meaning"? I underlined it for you guys.
Answer:
1: 300 miles/hour; 2: 5$/hour; 3: 10$ sales price/20$ retail price.
Step-by-step explanation:
1: You have to find the amount of distance traveled per hour.
Answer: 300 miles per hour.
2. You have to find the amount of money earned per hour.
Answer: 5$ per hour.
3: You have to find the sales price per retail price.
Answer: 10$ of sales price per 20$ of retail price.
If you can answer this question please do it as soon as you can.
9514 1404 393
Answer:
6.045×10^40 ergs1.8×10^-2 mmStep-by-step explanation:
A) Your scientific or graphing calculator can tell you the product:
(3.9×10^33 erg/s)(1.55×10^7 s) = 6.045×10^40 ergs
__
B) 10^2 mm is 100 mm, about 4 inches, so 1.8×10^2 mm is about 7 inches. This is somewhat larger than the diameter of a human hair (and about the same size as the diameter of a human head).
1.8×10^-2 mm = 18 μm is a more reasonable estimate of hair diameter
(The range of hair diameters is reportedly about 17 to 181 μm, so the given dimension is on the low end.)
The price of an item has risen to 297 today. Yesterday it was 110 . Find the percentage increase.
Answer:
170
Step-by-step explanation:
original value = 110
final value = 297
the increase is the difference between both values
increase = final value - original value = 297 - 110 = 187
percentage increase = (increase/original value)*100
= (187/110)*100
=170
What is a constraint in math? For what situations would they be useful?
Answer:
Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!
Step-by-step explanation:
Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation
C= 0.41 + 0.26(m-1) solve for m
Answer:
m=(c-0.15)/0.26
Step-by-step explanation:
c=0.41+0.26m-0.26
0.26m=c-0.15
m=(c-0.15)/0.26
For The 10% Of People That See This, Hope You Have The Best Day!
Answer:
Ah thank you, you too from me.
what is the equation for the line perpendicular to the line represented by the equation y=1/3x-2 that passes through the point (4,-7).
A. Y= -3x-2
B. Y= -3x-5
C. Y= 3x+2
D. Y= -3x+5
Answer:
y=-3x+5
bring (4,-7) in other three lines
you will know that it is unreasonable that
-7=-14
-7=-17
-7=14
The equation for the line perpendicular to the line represented by the equation [tex]y= \ \frac{1}{3} x-2[/tex] that passes through the point [tex](4,-7)[/tex] will be [tex]y=-3x+5[/tex].
What is equation for the perpendicular line ?Equation for the perpendicular line, the perpendicular lines have opposite-reciprocal slopes.
Now,
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Equation of a perpendicular line [tex]y=mx-b[/tex]
Here, [tex]m=[/tex] slope
So,
We have
[tex]y= \ \frac{1}{3} x-2[/tex]
Here,
[tex]m = \frac{1}{3}[/tex]
As mentioned above, we have to find the slope of perpendicular,
i.e.
(slope of perpendicular) [tex]m[/tex] [tex]=-3[/tex]
So,
[tex]y=mx-2[/tex]
[tex]y=(-3)x-b[/tex]
We have
Point [tex](4,-7)[/tex] through which line passes. i.e.
[tex]x=4[/tex]
[tex]y=(-7)[/tex]
Therefore,
[tex]-7=(-3)*4-b[/tex]
⇒ [tex]b=7-12[/tex]
[tex]b=(-5)[/tex]
So, Equation of a perpendicular line,
[tex]y=-3x+5[/tex]
So, Equation of a perpendicular line, [tex]y=-3x+5[/tex] which is derived from [tex]y=mx-b[/tex] .
Hence, we can say that the equation for the line perpendicular to the line represented by the equation [tex]y= \ \frac{1}{3} x-2[/tex] that passes through the point [tex](4,-7)[/tex] will be [tex]y=-3x+5[/tex].
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solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9
Answer:
Unit rate miles per day is, 3
Step-by-step explanation:
Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.
As per the given statement: A construction crew built 1/2 miles of road in 1/6 days
by unit rate definition;
After substituting the given values we have
⇒
or
Therefore, unit rate miles per day is, 3
Step-by-step explanation:
hhhthhg
You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9
Answer:
12 over 27 = 4 over 9
Step-by-step explanation:
12 over (12 + 15) = 12 over 27 = 4 over 9
Can someone help? I need a answer by 10/29
Answer:
ad bc
Step-by-step explanation:
Answer: for part a the answer is aed and bec.
Step-by-step explanation:
i need help on this.