A vessel of 7,560 liters
Step-by-step explanation:
This means finding the Least Common Multiple for;
108 168 180
We begin by finding the multiples of each number;
Multiples of 108:
108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, 7560, 7668, 7776
Multiples of 168:
168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, 7560, 7728, 7896
Multiples of 180:
180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920
The Least Common Multiple for the 3 number is;
= 7560
Therefore a vessel of 7,560 liters fills each one of them an exact number of times with no remainder.
Learn More:
For more on Least Common Multiple check out;
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What are the solutions to the equation x2 − 1 = 399?
A. X=20 and x=-20
B. X=200 and x=-200
C. X=400 and x=-400
D. X=398 squared and x=-398 squared
Good evening ,
Answer :
A.
x = ±20
Step-by-step explanation:
x² − 1 = 399 ⇔ x²= 400 ⇌ x² = 20² ⇌ x² − 20² = 0 ⇌ (x-20)(x+20) = 0
⇌ x = 20 or x = -20.
:)
X=20 and x=-20 are the solutions to the equation [tex]x^{2} -1 = 399[/tex]
What is a Quadratic equation?A quadratic equation exists as an algebraic equation of the second degree in x. The quadratic equation in its standard form exists [tex]ax^{2} + bx + c = 0[/tex], where a and b exist as the coefficients, x is the variable, and c stands as the constant term.
Given,
[tex]x^{2} -1 = 399[/tex]
To find,
The solutions to the equation.
Step 1
[tex]x^{2} -1 = 399[/tex]
Move terms to the left side
[tex]&x^{2}-1=399 \\[/tex]
[tex]&x^{2}-1-399=0[/tex]
Subtract the numbers
[tex]&x^{2}-1-399=0 \\[/tex]
[tex]&x^{2}-400=0[/tex]
Use the quadratic formula
[tex]$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$$[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic equation.
[tex]&x^{2}-400=0 \\[/tex]
a=1
b=0
c=-400
[tex]&x=\frac{-0 \pm \sqrt{0^{2}-4 \cdot 1(-400)}}{2 \cdot 1}[/tex]
[tex]&x=\frac{-0 \pm \sqrt{(0^{}-1600)}}{2 }[/tex]
[tex]$x=\frac{\pm 40}{2}$[/tex]
[tex]$x=\frac{40}{2}$[/tex]
[tex]$x=\frac{-40}{2}$[/tex]
Hence,
[tex]$x=20$[/tex]
[tex]$x=-20$[/tex]
Thus, Option A. X=20 and x=-20 are the solutions to the equation [tex]x^{2} -1 = 399[/tex]
To learn more about Quadratic equations refer to:
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Three pairs of shoes are priced at $39.95 each.
Estimate the total cost for the all 3 pairs of
shoes.
Answer:
39.95 × 3 = $119.85
Estimated at $40 each
3 pairs total $120
What is the value of the expression below?
3/8 +-4/5+-3/8+5/4
Answer:
The value of the expression is [tex]\frac{9}{20}[/tex]
Step-by-step explanation:
In order to sum or subtract these fractions we need to find their LCM.
The overall LCM is 20.
Thus:
4/5=16/205/4=25/20The we get:
= -16/20+25/20
Which gives:
=9/20
While testing a new pesticide, an agricultural scientist uses two functions to predict the yields of two same-sized potato farms that have different soil conditions. The scientist's predicted yield, in tons, of the first farm can be represented by the following function, where x is the liters of pesticide he uses per acre of the farm. His predicted yield, in tons, of the second farm can be represented by the following function, where x is the liters of pesticide he uses per acre of the farm. If the scientist uses the same amount of pesticide on the two farms, select the function that accurately represents the predicted combined yield from both farms.
f(x)= -2.43x^2+10.37x+9 and g(x)= -3.43^2+13x+25
A. h(x)= -5.86x^2 + 23.37x + 34
B. h(x)= -5.86x^2 + 2.63x + 34
C. h(x)= -x^2 + 2.63x + 16
D. h(x)= x^2 + 2.63x - 16
Answer:
A. h(x)= -5.86x^2 + 23.37x + 34
Step-by-step explanation:
If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.
Then, the combined yield [tex]h(x)[/tex] of the two farms is just the yield of the first farm plus the yield of the second farm:
[tex]h(x)=f(x)+g(x)[/tex].
Now, since
[tex]f(x)= -2.43x^2+10.37x+9[/tex]
and
[tex]g(x)= -3.43x^2+13x+25[/tex],
then
[tex]h(x)= (-2.43x^2+10.37x+9)+(-3.43x^2+13x+25)[/tex]
we add the coefficients of the corresponding terms to get:
[tex]h(x)= (-2.43x^2-3.43x^2)+(10.37x+13x)+(9+25)[/tex]
[tex]\boxed {h(x)=-5.86 x^2 + 23.37 x + 34.}[/tex]
Which is choice A.
does anyone have the answers for the rest of this or know the answers ?
Answer:
4.
a) [tex]4x^4-4x^3-16x^2+16x[/tex]
b) [tex]4x^4-4x^3-16x^2+16x[/tex]
5. Yes
Step-by-step explanation:
The distributive property is:
[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
It can be extended to a lot of terms as well.
We will use this to multiply both of the probelms shown.
4 a)
[tex](4x^2-4x)(x^2-4)=(4x^2)(x^2)-(4)(4x^2)-(4x)(x^2)+(4x)(4)=4x^4-16x^2-4x^3+16x=4x^4-4x^3-16x^2+16x[/tex]
The answer is [tex]4x^4-4x^3-16x^2+16x[/tex]
4 b)
[tex](x^2+x-2)(4x^2-8x)=(x^2)(4x^2)-(8x)(x^2)+(x)(4x^2)-(8x)(x)-(2)(4x^2)+(2)(8x)=4x^4-8x^3+4x^3-8x^2-8x^2+16x=4x^4-4x^3-16x^2+16x[/tex]
The answer is [tex]4x^4-4x^3-16x^2+16x[/tex]
5. Yes
Is triangles congruent?explain why or why not
Answer:
Step-by-step explanation:
Incomplete question.
Help I’m almost out of time
Answer: First option.
Step-by-step explanation:
You can idenfity in the figure that [tex]\angle FCE[/tex] is formed by two secants that intersect outside of the given circle.
It is important to remember that, by definition:
[tex]Angle\ formed\ by\ two\ Secants=\frac{1}{2}( Difference\ of\ intercepted\ Arcs)[/tex]
Knowing this, you can set up the following equation:
[tex]m\angle FCE=\frac{1}{2}(BD-FE)[/tex]
Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle [tex]\angle FCE[/tex].
This is:
[tex]m\angle FCE=\frac{1}{2}(112\°-38\°)\\\\m\angle FCE=37\°[/tex]
The table shows the value of a car as it relates to its age.
Which statements describe the value of the car as a function of x, its age in years? Check all that apply.
The relationship is quadratic.
The relationship is exponential.
The domain is {x | x < 0}.
The range is {V | 0 V 20,000}.
The value, V, is represented by the equation
V = 20,000(0.9)x.
Answer: B, D, E
Step-by-step explanation:
Using function concepts, it is found that the correct options are:
The relationship is exponential. The range is {V | 0 V 20,000}.The value, V, is represented by the equation V = 20,000(0.9)^x.--------------------------------
From the table, it can be seen that for each year, the value of the car is 90% of the value of the previous year, thus, the relationship is exponential.The initial value is 20,000, thus, the equation is [tex]V = 20000(0.9)^x[/tex].The domain is given by all possible input values, which is this question are the number of years, thus it is {x | x > 0}.The range is given by all possible output values, which is this question is the value of the car after each year, thus {V | 0 V 20,000}.A similar problem is given at https://brainly.com/question/13421430
School administrators collect data on students attending the school. Which of the following variables is quantitative?
the variable qould b and aStep-by-step explanation:
The population of a town in 2014 was 78,918 people with an annual rate of increase of about 1.7%. Which type of function can represent this situation?
A) Linear
B) Exponential
Answer:
B. Exponential.
Step-by-step explanation:
Each year you can find the estimated population for the following year by multiplying by 1 + 1.7% = 1.017.
The population estimate in x years time = 78,918 (1.017)^x.
Answer: The answer is B
Step-by-step explanation:
Write the equation of the line with the points (6, 6) and (-2, 1) in slope-intercept form
Answer:
y = 1x + 2
please mark me as brainliest, thank you and have a good day!
Answer:
y = 5/8x + 9/4
but it can be
y=5/8x+6
or
y=5/8x+1
Explaination:
but there can be other solutions
First let's find the slope (5/8(
(-2,1) and (6,6)
let plug those numbers in
[tex]\frac{6-1}{6-(-2)}[/tex]
which becomes
[tex]\frac{5}{8}[/tex]
that's your slope, plug that into the slop-intercept equation
y = mx + b tp y = 5/8x + b
b can be either y-values (1 or 6) but 9/4 is also an answer
√47 rounded to the hundredth place
Answer:
6.855
Step-by-step explanation:
I don't know how to explain that, you can use a calculator.
Find the minimum value of P=5x+6y subject to the following constraints.
Please help me!!
Answer:
The maximum value of P is 34 and the minimum value of P is 0
Step-by-step explanation:
we have the following constraints
[tex]x+y \leq 6[/tex] ----> constraint A
[tex]2x+3y \leq 16[/tex] ----> constraint B
[tex]x\geq 0[/tex] ----> constraint C
[tex]y\geq 0[/tex] ----> constraint D
Solve the feasible region by graphing
Using a graphing tool
The vertices of the feasible region are
(0,0),(0,5.33),(2,4),(6,0)
see the attached figure
To find out the maximum and minimum value of the objective function P, substitute the value of x and the value of y for each of the vertices in the objective function P, and then compare the results
we have
[tex]P=5x+6y[/tex]
For (0,0) ----> [tex]P=5(0)+6(0)=0[/tex]
For (0,5.33) ----> [tex]P=5(0)+6(5.33)=31.98[/tex]
For (2,4) ----> [tex]P=5(2)+6(4)=34[/tex]
For (6,0) ----> [tex]P=5(6)+6(0)=30[/tex]
therefore
The maximum value of P is 34 and the minimum value of P is 0
Mathematics Mh Helps
Answer:
r ≥ 5
The solution includes all the numbers greater than or equal to 5.
Step-by-step explanation:
We are given an inequality and we have to solve that inequality and mark it on a graph.
The given inequality is
-1 + r ≥ 4
This is a rather simple inequality and we just need to rearrange it to get the answer.
Rearranging, we get
r ≥ 5
This represents all the numbers in the number line which are greater than 5.
This means r can take all the values greater than 5 but not which are less than 5.
Find out what make 30 with only the number 1,3,5,7,9,11,13,15
Answer:
Step-by-step explanation:
7 + 3 + 5 + 15 = 30
Answer:
Step-by-step explaination:
I would try to help u but im not big brain and i really need the points
Naila worked 3.5 hours more than Lisa. Together, they worked a total of 18 hours. Lisa worked h hours.
h+7=18
h+3.5=18
h+(h+3.5)=18
h+(h−3.5)=18
Answer:
Lisa = 7 hours and 15 minutes
Naila = 10 hours and 45 minutes
Step-by-step explanation:
Naila = N
Lisa = L
Naila worked:
N = 3.5 + L
In total, they worked:
N + L = 18
Lisa worked:
L = h
Substitute values into the total equation
3.5 + L + L = 18
Solve
2L = 14.5
L = 7.25 = 7 hours and 15 minutes
N = 7.25 + 3.5 = 10.75 = 10 hours and 45 minutes
Hope this helps :)
The perimeter of a rectangle is 40 inches the width is 8 inches shorter than the length find the dimensions of the rectangle
Answer:
p=40
w=l-8
40=w+l
40=2(l-8)+2l
40=2l-16+2l
40=4l-16
56=4l
14=l
length=14
w=14-8=6
l=14
w=6
Main equation:
2L + 2w = 40
We know that
w = L - 8
Substitute in known value
2L + 2(L - 8) = 40
Solve
2L + 2L - 16 = 40
4L = 24
L = 6
Length = 6 inches
Width = 14 inches
Hope this helps :)
a concert venue can hold 200 people. student tickets are 50% less than adult tickets. Adult tickets at $50.00. The venue was sold out and made a revenue of $9125 for one event. How many adults vs. student tickets were sold?
Answer:
The number of adults tickets sold is 165
The number of students tickets sold is 35
Step-by-step explanation:
Given as :
The total people that concert venue hold = 200 people
The price of adults tickets = $50
The price of students tickets = 50% less than adults tickets
I.e The price of students tickets = $50 - 50% of $50
Or, The price of students tickets = $25
The total revenue earn = $9125
Let The number of adults tickets sold = A
The number of students tickets sold = S
Now, According to question
The total people that concert venue hold = 200
Or, A + S = 200 ...........1
The total revenue earn = The number of adults tickets sold × The price of adults tickets + The number of students tickets sold × The price of students tickets
Or, A × $50 + S × $25 = $9125
Or, 50 A + 25 S = 9125 ..........2
Solving both equations
(50 A + 25 S) - 25 × (A +S) = 9125 - 25 × 200
Or, (50 A - 25 A) + (25 S - 25 S) = 9125 - 5000
Or, 25 A + 0 = 4125
∴ A = [tex]\dfrac{4125}{25}[/tex]
I.e A = 165
So, The number of adults tickets sold = A = 165
Put the vale of A in eq 1
I.e A + S = 200
So, S = 200 - A
∴ S = 200 - 165
I.e S = 35
So. The number of students tickets sold = S = 35
Hence The number of adults tickets sold is 165 and
The number of students tickets sold is 35 Answer
Find the slope of the line through each pair of points. Pls help and explain if you cann!!
Answer:
1) The slope for the given points (6,7) and (-10,4) is [tex]m=\frac{3}{16}[/tex]
2) The slope for the given points (17,4) and (13,20) is [tex]m=-4[/tex]
3) The slope for the given points (12,19) and (14,18) is [tex]m=-\frac{1}{2}[/tex]
4) The slope for the given points (-11,0) and (18,13) is [tex]m=\frac{13}{29}[/tex]
5) The slope for the given points (3,6) and (-8,20) is [tex]m=-\frac{14}{11}[/tex]
6) The slope for the given points (-16,-20) and (12,5) is [tex]m=\frac{25}{28}[/tex]
7) The slope for the given points (13,20) and (14,-14) is [tex]m=-34[/tex]
8) The slope for the given points (18,15) and (3,0) is [tex]m=1[/tex]
Step-by-step explanation:
To find the slope of the line through each pair of points:
1) Given points are (6,7) and (-10,4)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (6,7) and (-10,4) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{4-7}{-10-6}[/tex]
[tex]m=\frac{-3}{-16}[/tex]
[tex]m=\frac{3}{16}[/tex]
Therefore the slope for the given points (6,7) and (-10,4) is [tex]m=\frac{3}{16}[/tex]
2) Given points are (17,4) and (13,20)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (17,4) and (13,20) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{20-4}{13-17}[/tex]
[tex]m=\frac{16}{-4}[/tex]
[tex]m=-4[/tex]
Therefore the slope for the given points (17,4) and (13,20) is [tex]m=-4[/tex]
3) Given points are (12,19) and (14,18)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (12,19) and (14,18) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{18-19}{14-12}[/tex]
[tex]m=\frac{-1}{2}[/tex]
Therefore the slope for the given points (12,19) and (14,18) is [tex]m=-\frac{1}{2}[/tex]
4) Given points are (-11,0) and (18,13)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (-11,0) and (18,13) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{13-0}{18-(-11)}[/tex]
[tex]m=\frac{13}{29}[/tex]
Therefore the slope for the given points (-11,0) and (18,13) is [tex]m=\frac{13}{29}[/tex]
5) Given points are (3,6) and (-8,20)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (3,6) and (-8,20) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{20-6}{-8-3}[/tex]
[tex]m=\frac{14}{-11}[/tex]
[tex]m=-\frac{14}{11}[/tex]
Therefore the slope for the given points (3,6) and (-8,20) is [tex]m=-\frac{14}{11}[/tex]
6) Given points are (-16,-20) and (12,5)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (-16,-20) and (12,5) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{5-(-20)}{12-(-16)}[/tex]
[tex]m=\frac{5+20}{12+16}[/tex]
[tex]m=\frac{25}{28}[/tex]
Therefore the slope for the given points (-16,-20) and (12,5) is [tex]m=frac{25}{28}[/tex]
7) Given points are (13,20) and (14,-14)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (13,20) and (14,-14) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-14-20)}{14-13}[/tex]
[tex]m=\frac{-34}{1}[/tex]
[tex]m=-34[/tex]
Therefore the slope for the given points (13,20) and (14,-14) is [tex]m=-34[/tex]
8) Given points are (18,15) and (3,0)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (18,15) and (3,0) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{0-15}{3-18}[/tex]
[tex]m=\frac{-15}{-15}[/tex]
[tex]m=1[/tex]
Therefore the slope for the given points (18,15) and (3,0) is [tex]m=1[/tex]
Please help me. So many more questions but starting with this one....
Answer:
[tex]\angle CST,\angle TSC[/tex]
Step-by-step explanation:
we know that
You can name a specific angle by using the vertex point, and a point on each of the angle's rays. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle
In this problem
The vertex point is S and the points on each of the angle's rays are C and T
so
[tex]\angle z=\angle CST=\angle TSC[/tex]
therefore
[tex]\angle CST,\angle TSC[/tex]
a radio station had 192 tickets to a concert. they gave away 5 times as many tickets to listeners as to the employees. how many tickets did they give away to employees?
A. 32
B.6
C.37
D.5
Answer: OPTION A.
Step-by-step explanation:
Let be "e" the number of tickets that the radio station gave away to employees and "l" the number of tickets that the radio station gave away to listeners.
Based on the data given in the exercise, you can set up the following System of equations:
[tex]\left \{ {{e+l=192 } \atop {l=5e}} \right.[/tex]
Finally you must apply the Substitution Method to solve the System of equations.
To apply it, you must substitute the second equation into the first one and then you must for the variable "e".
Through this precedure you get the following value of "e":
[tex]e+l=192\\\\e+(5e)=192\\\\6e=192\\\\e=\frac{192}{6}\\\\e=32[/tex]
If the volume of the pyramid shown is 108 inches cubed, what is the area of its base?
The question is missing the figure. So, the figure is attached below.
Answer:
The area of the base of the pyramid is 36 square inches.
Step-by-step explanation:
Given:
Volume of the pyramid is, [tex]V=108\ in^3[/tex]
The height of the pyramid is, [tex]h=9\ in[/tex]
Let the area of the base be 'A'.
So, the volume of the pyramid is given as:
[tex]V=\frac{1}{3}Ah[/tex]
Rewrite the given formula in terms of 'A'. This gives,
[tex]A=\frac{3V}{h}[/tex]
Now, plug in 108 for 'V', 9 for 'h' and solve for 'A'. This gives,
[tex]A=\frac{3\times 108}{9}\\\\A=3\times 12\\\\A=36\ in^2[/tex]
Therefore, the area of the base of the pyramid is 36 square inches.
I WILL MARK BRAINLIST
Which problem can be solved by performing this multiplication? 3/4×8/9
Final answer:
To solve the multiplication problem 3/4 × 8/9, multiply the numerators and denominators, then simplify the fraction.
Explanation:
To solve the multiplication problem 3/4 × 8/9, we multiply the numerators (3 × 8) to get 24, and multiply the denominators (4 × 9) to get 36. So the result of the multiplication is 24/36. To simplify the fraction, we find the greatest common divisor of 24 and 36, which is 12. Dividing both the numerator and denominator by 12, we get 2/3. Therefore, the answer to the problem is 2/3.
NEED INTELLIGENT STUDENT..ILL GIVE BRAINLEST AND EXTRA POINTS
Answer:
y = 242.4 ft
Step-by-step explanation:
Since the lines are parallel then the angle at the right side of the triangle is 29° ( adjacent angles are congruent )
Using the sine ratio in the right triangle
sin29° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{500}[/tex]
Multiply both sides by 500
500 × sin29° = y, thus
y = 242.4 ft ( to the nearest tenth )
13. Describe the number of solutions for the equation.
5(x – 9) = 5x (1 point)
no solution
one solution
infinite solutions
14. Describe the number of solutions for the equation.
–2(x – 1) = 2x – 2 (1 point)
infinite solutions
one solution
no solution
15. Solve the equation.
3x + 6 = 9 (1 point)
15
9
5
1
16. Solve the equation.
r over 4 – 1 = 4 (1 point)
1.3
0.8
12
20
17. Solve the inequality.
9x < 72 (1 point)
x < 8
x < –8
x < 63
x < 81
need done asap
Answer:
A) The equation has no solution
B ) The equation has one solution
C ) The solution of equation is 1
D ) The solution of equation is 20
E ) The solution of inequality is x [tex]<[/tex] 8
Step-by-step explanation:
Given as :
A ) The equation is written as
5 ( x - 9 ) = 5 x
So, solving the equation
i. e 5 x - 5 × 9 = 5 x
or, , (5 x - 5 x) - 45 = 0
or, (0) - 45 = 0
∵ The equation do not have any variable terms
So, the equation has no solution
B) The equation is written as
- 2 ( x - 1 ) = 2 x - 2
So, solving the equation
i.e - 2 x + 2 = 2 x - 2
or, ( - 2 x - 2 x ) = - 2 - 2
or, - 4 x = - 4
∴ x = [tex]\dfrac{-4}{-4}[/tex]
I.e x = 1
So, The equation has one solution
C) The equation is written as
3 x + 6 = 9
So, solving the equation
I.e 3 x = 9 - 6
or, 3 x = 3
∴ x = [tex]\dfrac{3}{3}[/tex]
I.e x = 1
So, The solution of equation is 1
D) The equation is written as
[tex]\dfrac{x}{4}[/tex] - 1 = 4
Or, [tex]\dfrac{x}{4}[/tex] = 1 + 4
or, [tex]\dfrac{x}{4}[/tex] = 5
∴ x = 5 × 4
I.e x = 20
So, The solution of equation is 20
E) The equation of inequality is written as
9 x [tex]<[/tex] 72
Or, x [tex]<[/tex] [tex]\dfrac{72}{9}[/tex]
∴ x [tex]<[/tex] 8
So, The solution of inequality is x [tex]<[/tex] 8
Hence , A) The equation has no solution
B ) The equation has one solution
C ) The solution of equation is 1
D ) The solution of equation is 20
E ) The solution of inequality is x [tex]<[/tex] 8
Answer
Simplify the following expression, 4.2x+4.7=18.6
Answer:
use photomath
Step-by-step explanation:
A candidate took a phone poll of 110 people. Of the 110 people polled, 87 said they would vote for the other person. There are 9570 people in the district. About how many people are going to vote for the other candidate?
A. 7400 people
B. 7569 people
C. 7069 people
D. 7900 people
Option B
7569 number of people are going to vote for the other candidate
Solution:
Given that candidate took a phone poll of 110 people
Of the 110 people polled, 87 said they would vote for the other person
There are 9570 people in the district
You can set up this problem like a proportion
Let "x" be the number of people who would vote for the other candidate
[tex]\frac{87}{110} = \frac{x}{9570}[/tex]
To solve proportions, you cross-multiply. This means you multiply the numerator by the other denominator, and the denominator by the other numerator
[tex]87 \times 9570 = 110 \times x[/tex]
832590 = 110x
x = 7569
Thus 7569 number of people are going to vote for the other candidate
Answer:
Your answer is B. 7569 people hopefully this helps!
(2-4x^9+3x^3)-(7x + x^3-6 + 12x^4)
Answer:
-4x^9-12x^4+2x^3-7x+8
Answer:
=−4x9−12x4+2x3−7x+8
Step-by-step explanation:
Distribute the Negative Sign:
=2−4x9+3x3+−1(7x+x3−6+12x4)
=2+−4x9+3x3+−1(7x)+−1x3+(−1)(−6)+−1(12x4)
=2+−4x9+3x3+−7x+−x3+6+−12x4
Combine Like Terms:
=2+−4x9+3x3+−7x+−x3+6+−12x4
=(−4x9)+(−12x4)+(3x3+−x3)+(−7x)+(2+6)
=−4x9+−12x4+2x3+−7x+8
A store is having a sale with 10% off everything
Write an equation to show the ale price s of any item given its regular price r
Answer:
Step-by-step explanation:
Since the sale price is always less than the original, we take the original and subtract from it the percent off to give us the sale price. Putting that into equation form:
s = r - .10r
which says, in words, that the sale price is equal to the regular price minus 10% of the regular price.
Jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour. Jonah wants to use all of his flour to make as many muffins as possible using this recipe.
Exactly how many cups of brown sugar will Jonah use if he uses all 7 cups of flour?
Answer:
4 1/2
Step-by-step explanation:
Answer:
4 1/2
Step-by-step explanation:
He made the recipe 3 times. 1 1/2*3=4 1/2