Without doing any calculations, compare expression A to expression B.5A.x 2506B. (250) + ({ x 250)ХChoose the words to complete the comparison.Expression A is Choose...v expression B.r
Answers
We have two expressions and we have to compare them.
We don't need to calculate the exact value of each expression. We can left them as products of 250.
Then, expression A is already 5/6 of 250.
We can rearrange expression B as:
[tex]\begin{gathered} B=(\frac{1}{3}\cdot250)+(\frac{1}{2}\cdot250) \\ B=(\frac{1}{3}+\frac{1}{2})\cdot250 \\ B=\frac{2+3}{3\cdot2}\cdot250 \\ B=\frac{5}{6}\cdot250 \end{gathered}[/tex]Expression B is also 5/6 of 250, so the two expressions are equal.
Answer: expression A is equal to expression B.
Related Questions
a property that states you can multiply numbers mentally by breaking apart one of the numbers and writing it as a sum or difference options:distributive property associative property commutative property
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Distributive property can be used to multiply numbers mentally by breaking apart one of the numbers and writing it as a sum or difference.
For example;
[tex]undefined[/tex]What would the outputs be when the inputs are 0,1,2,3,4,and 5 if the functionis f(x)=-2x+5
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You have the following function:
f(x) = -2x + 5
In order to determine the outputs of the previous function for inputs 0,1,2,3,4 and 5, you simply replace the variable x by 0, 1, 2, 3, 4 and 5 into f(x).
f(0) = -2(0) + 5 = 5
f(1) = -2(1) + 5 = -2 + 5 = 3
f(2) = -2(2) + 5 = -4 + 5 = 1
f(3) = -2(3) + 5 = -6 + 5 = -1
f(4) = -2(4) + 5 = -8 + 5 = -3
f(5) = -2(5) + 5 = -10 + 5 = - 5
Hence, the searched outputs are 5, 3, 1, -1, -3, -5
4. In a geometric sequence, ag = 64 and a 10 = 0.25.Use the geometric mean to find the value of ag.3216
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We are asked to determine the term between the 8th and 10th terms of the geometric sequence. To do that we need to have into account that in a geometric sequence the term between two given terms is equivalent to the geometric mean of the two terms. The geometric terms between the two terms is given by:
[tex]G_m=\sqrt[]{a_1a_2}[/tex]Replacing the values:
[tex]\begin{gathered} G_m=\sqrt[]{(64)(0.25)}_{} \\ G_m=\sqrt[]{16} \\ G_m=4 \end{gathered}[/tex]Therefore, the 9th term is 4.
A company is designing a label for a new cylindrical container. The container and some of its dimensions are shown. The label will be the same height as the container and will not overlap itself and will cover the entire side of the cylinder. What will be the area of the label 2 A) 31(8.75) cm? B) 61(875) cm? 91(8.75) cm D) 127(8.75) cm2 E) 157t(8.75) cm?
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The base area, B, of a cylinder with radius, r, is as given below
[tex]B=\pi r^2[/tex][tex]\begin{gathered} \text{ Since B = 9}\pi cm^2 \\ \text{then we must have that} \\ \pi r^2=9\pi \end{gathered}[/tex]Hence,
[tex]\begin{gathered} r^2=9 \\ \Rightarrow r=\sqrt[]{9}=3 \\ r=3\operatorname{cm} \end{gathered}[/tex]Since the label will only cover the entire side of the cylinder without overlapping, then the area of the label is the curved surface area of the cylinder.
Given a cylinder with radius,r, and height, we must have that
[tex]\text{the curved surface area = 2}\pi rh[/tex]In this case, h = 8.75cm,
Therefore,
[tex]\text{area of the label = 2}\pi\times3\times8.75=6\pi(8.75)cm^2[/tex]Hence the right choice is B
4. What is the profit the restaurant makes from selling 100 burritos? Does the restaurant make money o lose money? Explain.
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if the restauran sells 100 burritos, it obtains $550 dollars.
Then, when the restauran sells 100 burritos it makes money, because the earnings are greater than zero dollars.
without graphing determine the number of solutions to the system of equations
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We know that:
• If the two lines have different slopes, the system has exactly one solution.
,• If the two lines have the same slope and y-intercept, the system has infinite solutions.
,• If the two lines have the same slope and different y-intercepts, they are parallel, and the system has no solutions.
Then, we need to know the slopes of the lines.
• Line 1
We write the equation in its slope-intercept form. For this, we solve the equation for y.
[tex]\begin{gathered} y=mx+b\Rightarrow\text{ Slope}-\text{intercept form} \\ \text{ Where m is the slope and} \\ b\text{ is the y-intercept} \end{gathered}[/tex][tex]\begin{gathered} -8x+9y=-8 \\ \text{ Add 8x from both sides} \\ -8x+9y+8x=-8+8x \\ 9y=-8+8x \\ \text{ Divide by 9 from both sides} \\ \frac{9y}{9}=\frac{-8+8x}{9} \\ y=-\frac{8}{9}+\frac{8}{9}x \\ \text{ Reorder} \\ y=\frac{8}{9}x-\frac{8}{9} \end{gathered}[/tex]Then, the slope of this line is 8/9.
• Line 2
As we can see, this line is already in its slope-intercept form.
Then, the slope of this line is -6/7.
Since the lines have different slopes, the system has exactly one solution.
Solve for: A = a b= Round to the nearest tenth.
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We have the following triangle:
First, we start from the fact that we have an internal angle of 72 degrees and a right angle i.e. a 90-degree angle.
Second, having two internal angles, we solve and find the last internal angle.
[tex]180-90-72=18[/tex]Third, we find "a" and "b" with the law of sines, the equation of this law is:
[tex]\frac{a}{\sin(A)}=\frac{b}{\sin (B)}=\frac{c}{sn(C)}[/tex]Where we have these values:
[tex]\begin{gathered} a=a \\ b=b \\ c=11 \\ \sin (A)=\sin (18) \\ \sin (B)=\sin (72) \\ \sin (C)=\sin (90)=1 \end{gathered}[/tex]Now we solve "a"
[tex]\begin{gathered} \frac{a}{\sin (18)}=\frac{11}{\sin (90)} \\ a=11\cdot\sin (18) \\ a=3.3991\cong3.4 \end{gathered}[/tex]Now we solve "b"
[tex]\begin{gathered} \frac{b}{\sin (72)}=\frac{11}{\sin (90)} \\ b=11\cdot\sin (72) \\ b=10.4646\cong10.46 \end{gathered}[/tex]In conclusion, the answers are approximate:
[tex]\begin{gathered} a\cong3.4 \\ b\cong10.46 \end{gathered}[/tex]If i could just get help with part A please. i have part B right
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We can rewrite the fraction inside the square root as:
[tex]\frac{5\cdot3}{3\cdot3}=\frac{15}{9}\text{.}[/tex]Therefore:
[tex]undefined[/tex]8 as a radical to the 10 power
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The correct answer is:
[tex]\sqrt[8]{10\text{ = 1.33}35\text{ }}[/tex]In our solution, we are calculating the 8th root of 10
Which answer choice correctly represents 0.513333… ?A) 0.513 _B) 0.513 __C) 0.513 ___D) 0.513
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Explanation
The given question is an example of a recurring decimal
The decimal number given:
[tex]0.513333\ldots\text{..}[/tex]This shows that 3 continues indefinitely
A good way to write this will be to put a sign on 3 to show that it continues
This will be
Thus, the answer is option B
If the domain of f(x) = 3x + 5 is {-1, 0, 1, 2, 3}, what is the range?
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The domain is the set of values that are allowed to plug into our function and it is represented by the variabel x.. In our case, the domaini s {-1,0,1,2,3}. On the other hand, the range is the set of values that the function assumes after we plug an x value in.
Then, we need to substitute each x value into the given function f(x). So, for x=-1, we have
[tex]\begin{gathered} f(-1)=3(-1)+5 \\ f(-1)=-3+5 \\ f(-1)=2 \end{gathered}[/tex]Similarly, for x=0, we get
[tex]\begin{gathered} f(0)=3(0)+5 \\ f(0)=5 \end{gathered}[/tex]For x=1, we obtain
[tex]\begin{gathered} f(1)=3(1)+5 \\ f(1)=8 \end{gathered}[/tex]Now, for x=2, we have
[tex]\begin{gathered} f(2)=3(2)+5 \\ f(2)=11 \end{gathered}[/tex]and finally, for x=3 we get
[tex]\begin{gathered} f(3)=3(3)+5 \\ f(3)=14 \end{gathered}[/tex]Therefore, the range is the following set:
[tex]{}\lbrace2,5,8,11,14\rbrace[/tex]A salesman earns a commission of $350 for selling $2500 in merchandise. Find the commission rate. Write your answer as a percentage.
Answers
14%
Explanation
we can solve this by using a rule of three
let x represents the rate commision( in percentage)
so
if
[tex]2500\rightarrow100\text{ \%}[/tex]then
[tex]350\rightarrow x[/tex]now, set the proportion and solve for x
[tex]\begin{gathered} \frac{2500}{100}=\frac{350}{x} \\ \text{cross multiply} \\ 2500x=350\cdot100 \\ 2500x=35000 \\ \text{divide both sides by 2500} \\ \frac{2500x}{2500}=\frac{35000}{2500} \\ x=14 \end{gathered}[/tex]it means, the rate is 14%
I hope this helps you
Answer:
13%
Step-by-step explanation:
Graph the inequality on a plane. (Click to shade a region below or above the line).y > -1
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we have the inequality
y> -1
the solution is the shaded area above the dashed line y=-1
see the attached figure below to better understand the problem
Factor completely over the set of complex numbers using the factoring pattern Show all work
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Given:
[tex]81m^2+25[/tex]To factorize it completely over the set of complex numbers using the factoring pattern:
[tex]\begin{gathered} 81m^2+25=(9m)^2+(5)^2 \\ =(9m)^2-(i5)^2 \end{gathered}[/tex]Using the formula,
[tex]a^2-b^2=(a+b)(a-b)_{}[/tex]Hence, the factorized form is,
[tex](9m+5i)(9m-5i)[/tex]The line is parallel to the line y = 1/2x-3, and contains the point (6,5)
Answers
Given: Equation of a line
[tex]y=\frac{1}{2}x-3[/tex]Required: To find the equation of the line that is parallel to the given line and contains the point (6,5).
Explanation: The slopes of the parallel lines are equal. Moreover, the general equation of a line is
[tex]y=mx+c[/tex]Comparing the equation of the given line with the general equation of the line, we get,
[tex]Slope,m=\frac{1}{2}[/tex]Hence, the required line has a slope of 1/2. It is given that this line contains the point (6,5).
Using the slope point equation of a line-
[tex]y-y_0=m(x-x_0)[/tex]Putting the values, we get,
[tex]\begin{gathered} y-5=\frac{1}{2}(x-6) \\ 2y-10=x-6 \\ 2y=x+4 \\ y=\frac{1}{2}x+2 \end{gathered}[/tex]Final Equation: The equation of the line is
[tex]y=\frac{1}{2}x+2[/tex],
Jonah's restaurant bill comes to $25.65 and he leaves a 15% tip. What is Jonah's total restaurant bill?
Answers
Given
Restaurante bill $ 25.65
Tip 15%
Total
Procedure
Total = 25.65 + 25.65*15%
Total = 25.65+3.847
Total = 29.4975
Hello! The Question is included in the picture. I’m having a hard time understanding this. Please help!
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Answer:
A. The sidewalk length: 24.9'
B. The sidewalk width: 21.6'
C. The garden length: 11.7'
D. The garden width: 8.4'
E. Total garden area: 98.3 square inches
Step-by-step explanation:
We have two rectangles (R). Let's define:
R₁ = the biggest rectangle = sidewalk + garden
R₂ = the smallest rectangle = garden
The area of the rectangle R₁ (AR₁) can be calculated as follows:
AR₁ = l₁.w₁
AR₁ = (1.87x+5+x+3+x+3)(1.5x+3+x+3+x+3)
AR₁ = (3.87x + 11)(3.5x + 9)
Also,
AR₁ = area of sidewalk + area of garden
Area of the sidewalk = 64875 square inches = 450.5 square feet
AR₁ = 450.5 + (1.87x + 5)(1.5x + 3)
We can equal both equations to find the value of x:
(3.87x + 11)(3.5x + 9) = 450.5 + (1.87x + 5)(1.5x + 3)
13.5x² + 34.8x + 38.5x + 99 = 450.5 + (2.8x² + 5.6x + 7.5x + 15)
13.5x² + 73.3x + 99 = 2.8x² + 13.1x + 450.5
13.5x² -2.8 x² + 73.3x - 13.1x + 99 - 450.5 = 0
10.7x² + 60.2x - 351.5 = 0
Now, we can use the quadratic formula to the value of x.
According to the quadratic formula:
For a equation:
ax²+ bx + c = 0,
x = (-b ± √Δ)/2a
and
Δ = b² - 4ac
So, in this exercise:
Δ = 60.2² - 4(10.7)(-351.5)
Δ = 3624 + 15044.2
Δ = 18668.2
x = (-60.2 ± √18668.2)/(2*10.7)
x = (-60.2 ± 136.6)/21.4
x₁ = (-60.2 + 136.3)/21.4
x₁ = 3.6'
x₂ = (-60.2 - 136.3)/21.4
x₂ = -9.2'
Since the sides of the rectangle can not be negative, we will use the value of x₁ = 3.6'.
Now, let's calculate the sides of the garden:
lenght: 1.87x + 5
length: 1.87*3.6 + 5
length: 11.7'
width: 1.5x + 3
width: 1.5*3.6 + 3
width: 8.4'
And the area of the garden AR₂:
AR₂ = 11.7*8.4
AR₂ = 98.3 square inches
Finally, let's calculate the sides of the biggest rectangle:
lenght: 11.7 + x + 3 + x + 3
lenght: 11.7 + 3.6 + 3 + 3.6 +3
lenght: 24.9'
width: 8.4 + x + 3 x + 3
width: 8.4 + 3.6 + 3 + 3.6 +3
width: 21.6'
Good Evening, Happy Valentine's Day Hi, can you please help with my math problem? Thanks for the help. Have a lovely day. Have a great Sunday. Please help me and Please explain the answer. Can someone please help me with problem 3?
Answers
We will solve as follows:
Statement: RS Congruent with RT // Ru bisects angle SRT.
Reason: Given.
Statement: m<1 = m<2.
Reason: Result of RU bisecting
Statement: RU = RU.
Reason: Ru is a common side for triangles SRU & triangle TRU.
Statement: triangle SRU is congruent with triangle TRU.
Reason: The triangles are congruent by SAS [SR congruent with RT, RU common side, and angle 1 congruent with angle 2; what's inside brackets should not be written]
Statement:
Reason: Corresponding angles from congruent triangles are congruent.
This is algebra 2 I’m confused a little bit, I remember the format but it’s a little wonky I guess!
Answers
1)
Given:
The objective is to find the transformation of the graph which contians the equation y = √x.
Explanation:
The graph of the equation y = √x is,
1. a)
First, rotate the graph of the function around x axis by multiplying the whole function by (-1).
[tex]y=-\sqrt[]{x}[/tex]By moving 2 units to the left, the transformation will be,
[tex]y=-\sqrt[]{x+2}[/tex]Further transformation of 1 unit to the down side, the equation will be,
[tex]y=-(\sqrt[]{x+2}+1)[/tex]Hence, the required equation of transformation is obtained.
1. b)
First, rotate the graph of the function around y axis by multiplying only the x values of the function by (-1).
[tex]y=\sqrt[]{-x}[/tex]Further transformation of 3 units to the right side, the equation will be,
[tex]y=\sqrt[]{-x+3}[/tex]Hence, the required equation of transformation is obtained.
indicate me answer choice The spinner shown is spun once. Find each probability. Write each answer as a fraction, a decimal, and a percent. B E M C A P P(not M) Oa. 2 3 Da Į, N0.7,8 67% Ob. 0,17,8 17 Oc. 5, N 0.3, 33% Od. 3 0.83, 83%
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When the spinner is spun,
14V + 25 − 5V = 4(V + 25)
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Step 1
Given; 14V + 25 − 5V = 4(V + 25)
Required; Find V
Step 2
[tex]\begin{gathered} 14V+25-5V=4(V+25) \\ \mathrm{Group\:like\:terms} \\ 14V-5V+25=4\left(V+25\right) \end{gathered}[/tex][tex]\begin{gathered} Add\:similar\:elements \\ 9V+25=4\left(V+25\right) \\ Expand\text{ the bracket} \\ 9V+25=4V=100 \end{gathered}[/tex][tex]\begin{gathered} 9V-4V=100-25 \\ 5V=75 \\ \frac{5V}{5}=\frac{75}{5} \\ V=15 \end{gathered}[/tex]Answer;
[tex]V=15[/tex]A law firm is going to designate associatesand partners to a big new case. The dailyrate charged to the client for each associateis $600 and the daily rate for each partner is$1200. The law firm assigned a total of 10lawyers to the case and was able to chargethe client $7200 per day for these lawyers'services. Graphically solve a system ofequations in order to determine the numberof associates assigned to the case, x, and thenumber partners assigned to the case, y.
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The number of associates assigned to the case = x
The number of partners assigned to the case = y
The daily rate charged to the client for each associate = $600
The daily rate charged to the client for each partner = $1200
The total number of lawyers = 10
x + y = 10............(1)
A. Graph Cubas population and describe what pattern you can see. B. Explain why a logistic model would be a better choice for Cubas population growth than an exponential model. C. Find a logistic function f(t)= L/1+C(e^-bt), that models Cubas population growth. - Assume that .039 is a good value for b. Do not change this value - Graph f(t) = 11,000/1+15(e^-.039t) on top of your points (so starting value L=11,000 and the starting value for C=15) - experiment with values for L and C until you have a good model for the graphed points. Limit yourself to L-values between 11,000 and 15,000 and C-values between 11 and 15
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A. We have to graph the data (years in the horizontal axis, population in the vertical axis):
B. The shape of the time series match the logisti model: it has an exponential growth in the first stage and then it flattens.
C. We have a logistic model with b=0.039.
We have to plot the function:
[tex]f\mleft(t\mright)=\frac{11000}{1+15\cdot e^{-0.039t}}[/tex]If we add it to the data plot we get:
This parameters do not fit the actual population. So we have to change L between 11000 and 15000 and C between 11 and 15.
If we change them to C=14 and L=13000, we get:
which is a significant better fit than the original model.
What is the range of function gif 9(2) = /(=) + 3,O A (3, 00)O B. (-00, 00)O C. (-00, 3)O D. (-3, 3)
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Step 1
Given;
[tex]\begin{gathered} f(x)=e^x \\ g(x)=f(x)+3 \end{gathered}[/tex]Required; To find the range of g(x)
Step 2
[tex]\mathrm{The\:set\:of\:values\:of\:the\:dependent\:variable\:for\:which\:a\:function\:is\:defined}[/tex][tex]\begin{gathered} k=3 \\ f\left(x\right)>3 \\ Range=\left(3,\:\infty\:\right) \end{gathered}[/tex]Answer;
[tex]Range=\left(3,\:\infty\:\right)[/tex]hello hope all is well. Can you help me with number 4 please
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4.
The virus probably originated in the midwest of the country, spreading mainly to the west and northwest of the country, the most common symptons are:
Fever and headache, to a lesser extent, some patients had stomach pain, cough and nausea.
From 22 subjects tested, 10 succumbed to the disease, and turned into zombies, this represents approximately 45% of the total. Therefore, it is a very dangerous virus, and the necessary measures must be taken to contain it. In addition to starting to develop a vaccine
which of the following values is the solution of x divided by 32 equals 8?A. 24B.40C.256 D.4
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-TB +6r) = 14-1 .1+(3), GREMOR -R=17 3-18R=14.R 190 3-18 R&R=14-RAR Ral -3-172314 -3-178+3=1443 -4k + 2(5k - 6) = -3k - 39 n 1=-212
Answers
We need to find k, so we have that
[tex]\begin{gathered} -4k+2(k-6)=-3k-39_{} \\ -4k+2k-12=-3k-39_{} \\ -4k+2k+3k=-39+12_{} \\ k=-27_{} \end{gathered}[/tex]So the answer is k=-27.
Hello. solve for x in the equation x2 - 10x+25=35?
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Move the constant on the right side to the left side by subtracting both sides by 35
[tex]\begin{gathered} x^2-10x+25=35 \\ x^2-10x+25-35=35-35 \\ x^2-10x-10=\cancel{0} \end{gathered}[/tex]Now that it is in the standard form of quadratic equation, we can use the quadratic formula to solve for x
[tex]\begin{gathered} \text{The standard form is }ax^2+bx+c=0 \\ \\ \text{In }x^2-10x-10=0, \\ a=1,b=-10,c=-10 \end{gathered}[/tex][tex]\begin{gathered} \text{Use the quadratic formula} \\ x=\frac{ -b \pm\sqrt{b^2 - 4ac}}{ 2a } \\ \\ \text{Substitute the values for }a,b\text{ and }c \\ x=\frac{ -(-10) \pm\sqrt{(-10)^2 - 4(1)(-10)}}{ 2(1) } \\ x=\frac{10\pm\sqrt[]{100-(-40)}}{2} \\ x=\frac{10\pm\sqrt[]{100+40}}{2} \\ x=\frac{ 10 \pm\sqrt{140}}{ 2 } \\ x=\frac{ 10 \pm2\sqrt{35}\, }{ 2 } \\ x=\frac{ 10 }{ 2 }\pm\frac{2\sqrt{35}\, }{ 2 } \\ x=5\pm\frac{\cancel{2}\sqrt[]{35}}{\cancel{2}} \\ x=5\pm\sqrt[]{35} \end{gathered}[/tex]Therefore the solution for the given equation is
[tex]\begin{gathered} x=5+\sqrt[]{35}\text{ or }x=10.9161 \\ \text{AND} \\ x=5-\sqrt[]{35}\text{ or }x=-0.9161 \end{gathered}[/tex]Twice the product of m and n decreased by the square of the sum of m and n.
Answers
1) Gathering the data
2) Simplifying the expression. The use of brackets and parentheses is to avoid confusion.
(a+b)² = a² +2ab +b² The square of the sum
2( m . n ) - [(m+n)²]= Setting the expression
2mn -[m² +2mn +n²] Place the minus outside since it is subtracting
2mn -m² - 2mn -n² Cancel out the opposite terms
-m² -n² Simplest form.
Or we can just let it factored.
2 mn - (m+n)²
(837-700)-37+ 1419/33
Answers
Answer:
(837-700)-37+ 1419/33 = 143
Explanation:
We are given:
[tex]\left(837-700\right)-37+\frac{1419}{33}[/tex]First, we can solve the parentheses and the quotient:
[tex]137-37+43[/tex]Now we solve:
[tex]100+43=143[/tex]Thus, the answer is 143