The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.
How to write equationlet
x = amount added each monthDiego:
6 months ago = $40
Now = $250
250 = 40 + 6x
250 - 40 = 6x
210 = 6x
x = 210/6
x = $35
Lin:
Now = $100
Future = $50 per month
let
x = number of monthsTotal savings= 100 + 50x
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compute (5 2/3)^2-(4 1/3)^2
Answer:
40/3
Step-by-step explanation: If you have a calculator type in (5 2/3)^2-(4 1/3)^2. To get 40/3. So in short, square (5 2/3)^2 to get 289/9 and square (4 1/3)^2 to get 169/9. Then subtract the two 289/9-169/9 to get 40/3.
50 POINTS 50 POINTS please help me with these 5 questions attached pictures
Step-by-step explanation:
the first graph
0=|x+2| f(0)=|0+2|
|x+2|=0 f(0)=|2|
x+2=0 f(0)=2
x=-2
Answer:
First graph X=-2
Please help! I don't know what answer b is, but i know a, thank you.
They are corresponding angles
Step-by-step explanation:
We know that x=75⁰ because
[tex]180 - 105 = 75[/tex]
75⁰ is angle EFB
Since we know this, and because we know that AD//EH,
We can conclude that x=75⁰(AD is parallel to EH and angle CBA or x and angle EFB are corresponding angles)
Eva loves to go fishing. Each time she catches a fish, there is a 70% chance that it is a northern pike and a 30%
chance it is a walleye. Let W be the random variable that represents the number of walleye Eva gets if she
catches 2 fish.
W = # of walleye 0
1
2
P(W)
0. 49
0. 42
0. 09
Calculate the mean of W.
walleye
Uw =
Answer:
Answer: 1.4
Step-by-step explanation:
P(Northern pike) = 0.7
P(walleye) = 0.3
If 2 fishes are caught :
Number of northern pike (x) :
X = 0
P(walleye 1 st) * p(walleye 2nd) = (0.3 * 0.3) = 0.09
X = 1
P(walleye 1st)*P(Northern pike 2nd) OR P(Northern pike 1st)*P(Walleye 2nd)
= (0.3 * 0.7) + (0.7 * 0.3)
= 0.21 + 0.21
= 0.42
P(x = 2)
P(northern pike 1st) * P(northen pike 2nd)
0.7 *0.7 = 0.49
X: _ 0 _ 1 __ 2
P(x): ___ 0.09 ___ 0.42 ____ 0.49
Expected value of northern pikes :
(0* 0.09) + (1 * 0.42) + (2 * 0.49)
0 + 0.42 + 0.98
= 1.4
Expected value of the number of walleye is 0.5.
What is the expected value?
The expected value exists as a long-run average value of random variables. It also demonstrates the probability-weighted average of all possible values. Expected value exists as a generally utilized financial concept.
W = # of walleye 0, 1, 2
P(W) 0. 49, 0. 42, 0. 09
To estimate the expected value of the number of walleye.
E(X) = number of walleye
E(X) = (0 [tex]\times[/tex] 0.49) + (1 [tex]\times[/tex] 0.42) + (2 [tex]\times[/tex] 0.09)
E(X) = 0 + 0.42 + 0.08
E(X) = 0.5
Therefore, the number of walleye expected value = 0.5.
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What is the median age of a group of employees
whose ages are 32, 37, 30, 43, 29 and 31?
Which statements are true? select three options. the population density for city b can be found using the ratio 48,592 : 26. the population density for city d can be found using the ratio 258 : 196,429. city a has the greatest population density of the four cities. the population density of city b is greater than that of city c. city d has the lowest population density of the four cities.
The three statements truly define the conditions are 1,3 and 4.
What is population density?The number of individuals of a species in a certain geographic location is known as population density.
Data on population size may be used to quantify demographic information as well as to analyze links with habitats, people's health, and transportation.
The population density is given as the ratio of population per unit area;
[tex]\rm population \ density= \frac{population}{Area}[/tex]
For the different cities the population density is found as;
For city a
[tex]\rm P_A = \frac{2,19514}{1553} \\\\ \rm P_A = 1413.98[/tex]
For city b
[tex]\rm P_B =\frac{48,592 }{26} \\\\ \rm P_B =1868.15[/tex]
For city c
[tex]\rm P_C = \frac{ 1,257,676}{999} \\\\ \rm P_C = 999[/tex]
For city d
[tex]\rm P_D = \frac{196,429}{258} \\\\ \rm P_A = 761.35[/tex]
The three statements defining the condition will be;
The population density for city b would be 48,592:26.
The population density for city b is more than city c.
The city d contains the lowest population density
Hence the three statements true will be 1,3 and 4.
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Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
The ordered pair (–3, 7) is viable.
The ordered pair (0, 4) is viable.
The ordered pair (7, 0) is non-viable.
The ordered pair (12, 3) is viable.
Answer:
D
Step-by-step explanation:
X must be positive as you cannot have a negative amount of people and neither X and Y could be 0. (In this case (7, 0) could have been viable but the choice says non-viable.) This means the answer is (12,3).
The ordered pair (12, 3) is viable is correct answer.
What is ordered pair?"Ordered pair is defined as the two numbers or variables which is written in form of pair using parenthesis."
According to the question,
Number of visitors = x
Number of winners = y
Relationship given,
Number of visitors and hole in one winners.
Negative value cannot be part of number of visitors or winners.
Therefore,
(-3,7) is not the correct ordered pair.
'x' and 'y' value cannot be equals to zero as per the condition given.
(7,0) is non viable.
Therefore,
(0,4) and (7,0) is not the correct ordered pair.
(12,3) represent both positive value as per the condition.
Hence, the ordered pair (12, 3) is viable is correct answer.
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Angle A and angle B form a vertical angle pair. The measure of angle A is six less than twice times the measure of angle B. Find the measure of each angle.
Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.
What is vertical angles?Vertical angles are a pair of opposite angles formed by intersecting lines.
Vertical angles are congruent to each other . Vertical angles share the same vertex.
Therefore, angle A and angle B are congruent because they are vertical angle pair.
Therefore,
∠A≅∠B
let
∠B = x
Therefore,
∠A = 2x - 6
Therefore,
x = 2x - 6
x - 2x = - 6
-x = - 6
x = 6
The measure of each angle is 6 degrees.
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What is the volume of the right rectangular prism?
Answer:
[tex]\boxed{\sf{140}}[/tex]
Step-by-step explanation:
A rectangular prism's volume must be determined in order to solve this problem.
Remember to use this rectangular prism formula:
[tex]\sf{V=l*w*h}[/tex]
L=7 in
W=5 in
H=4 in
Multiply.
7*5*4=140
140 in
Therefore, the correct answer is 140.
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
V = 140 cubic units
We can split this equation into multiple steps to solve:
7 x 5 x 4 =
(7 x 5) x 4 =
35 x 4 = 140
Therefore your answer would be:
140 cubic units
Otherwise, known as option C.
Step-by-step explanation:
Have a great rest of your day
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The area of a circle is 36π cm². What is the circumference, in centimeters? Express your answer in terms of π
Answer: [tex]12\pi[/tex]
Step-by-step explanation:
The formula for area of a circle is [tex]\pi r^2=A[/tex]
The formula for circumference of a circle is [tex]2r\pi=C[/tex]
Where r is the radius
A is area
C is circumference
Knowing this we can sub our values in and solve for r in the formula for area
Divide both sides by [tex]\pi[/tex] to isolate r
[tex]\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36[/tex]
Take the square root of both sides
[tex]r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6[/tex]
Now sub the value of r into the formula for circumference
[tex]2r\pi =C\\2(6)\pi =C\\12\pi[/tex]
Answer:
[tex]12\pi \: c \: m[/tex]
step by step explanation:
[tex]area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm [/tex]
Which expression is equivalent to (q^6)^2
○ q^3
○ q^8
○ q^12
○ q^36
btw, its not q^36
round 763 to the nearist ten
Answer:
760
Step-by-step explanation:
Answer:
760 of course
Step-by-step explanation:
3 is below 5 so its 760
If the last digit was a 5 or higher,it'll be 770
If ∠GHJ≅∠IHJ and GJ=99, what is IJ?
Answer:
99
Step-by-step explanation:
Triangles GJH and IJH are congruent, so GJ=IJ=99.
Bo needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged him $63 for parts. The total was $551.75. What was the cost of labor, per hour?
SYSTEM OF EQUATIONS- I struggle with this
Person A wants to order a bunch of shirts. One website charges 9.65 per shirt, plus a set up fee for $43. Another company charges 8.40 per shirt plus a $58 fee. But what number of shirts would the cost be the same? Why?
Answer:
12 shirts
Step-by-step explanation:
First, we need to write our equations. Let x be the number of shirts and y be the cost. We will multiply the number of shirts bought (x) by the price and then add the setup fee.
To answer the overall question, we will graph the two equations we create. Their point of intersection is the solution, or where the number of shirts bought would cost the same.
"One website" - 9.65 per shirt, plus a set up fee for $43
y = 9.65x + $43
"Another company" - 8.40 per shirt plus a $58 fee
y = 8.4x + $58
See attached for the graph.
They intersect at point (12, 158.8) meaning that both websites will charge $158.80 for 12 shirts.
The perimeter of the big wheel of a bicycle is 9 cm longer than the perimeter of the front wheel. On the road of 120 cm, the big wheel does 12 less rotations than the front one. Find the perimeters of each wheel.
PLEASE HELP I'VE BEEN STUCK ON THIS FOR WEEKS!!!
Answer:
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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.
Easy
Solution
verified
Verified by Toppr
Radius of the wheel =r=
2
60
=30 cm
Circumference of the wheel =2πr=2×
7
22
×30=
7
1320
cm
Distance covered in 1 revolution =
7
1320
cm
Distance covered in 140 revolutions =
7
1320
×140=26400 cm=264 m=
1000
264
km
Distance covered in one minute = Distance covered in 140 revolutions =
1000
264
km
Distance covered in 1 hour =
1000
264
×60=15.84 km
Hence, the speed with which the boy is cycling is 15.84km/hr.
For each of the figures, write an absoulute value equation that has the following solution set.
The solution set -18 and 0 are the true values of the absolute value equation
The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9
How to determine the absolute value equation?From the figure, the solution sets of the absolute value equation are given as:
x = {-18, 0}
Calculate the mean of the solution set
Mean = 0.5 * (-18 + 0)
Mean = -9
Calculate the difference of the solution set divided by 2
Difference = (0 + 18)/2
Difference = 9
The absolute value equation is the represented as:
|x - Mean| = Difference
Substitute known values
|x + 9| = 9
Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9
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Answer:
|x+9|=9
Step-by-step explanation:
What is 2+4(4x49=4+39(563x7=
Answer:
Step-by-step explanation:
2+4(4x49)=4+39(563x7)
2+4x196=4+39x3941
2+784=4+153699
786=153703
This equation is
not possible because
786≠153703
Quadrilateral ABCD is similar to Quadrilateral EFGH. The scale factor is 3:2 if AB = 18, find EF
Answer:
A... 12
Step-by-step explanation:
What are the new coordinates of the figure above if it is rotated 90 degrees clockwise about the origin ?
A. A’(1,-3), B’(1,-7),C’(-3,-7),D’(-3,-3)
B. A’(-3,-1),B’(-7,-1), C’(-7,3) D’(-3,3)
C. A’(-3,-1),B’(-7,-1),C’(-7,3),D(-3,3)
D.A’ (1,-3),B’(1,-7),C’(3,-7),D’(3,-3)
Answer: A
Step-by-step explanation:
it is 3 kilometers from Linda's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.
Answer:
1km=1000m... thats basically the answer so the nearest mail box is 3000M
How do you do this problem:
1- 3 (4 - 3) + (27- 2 x 3)
Answer:
19
Step-by-step explanation:
Do what is in parenthesis first.
(4 - 3) = 1
(27 - 2 * 3) = (27 - 6) = 21
Now the equation looks like this:
1 - 3 (1) + (21) =
1 - 3 + 21 =
19
The camp has two fire pits. One is a rectangular fire pit with a perimeter of 20 inches. The
other is a circular fire pit with a circumference of 7 inches. Shakir will place stones along
the outside edges of both fire pits. If each stone is the same size, which pit will require more
stones? Use the space below for your work. Explain how you know.
Please help!!
what is the way to find inverse of matrix?
Formula for inverse of matrix:
matrix → inverse matrix
[tex]A = \bold{ \sf { \begin{pmatrix}a&b\\ c&d\end{pmatrix} \ \ \ \rightarrow \ \ A^{-1} = \dfrac{1}{(ad-bc)} \begin{pmatrix}d&-b\\ -c&a\end{pmatrix} }}[/tex]
What is the radius of the circle with equation (x + StartFraction 1 Over 5 EndFraction) squared + (y minus two-fifths) squared = StartFraction 1 Over 25 EndFraction? StartFraction 1 Over 25 EndFraction unit StartFraction 2 Over 25 EndFraction units One-fifth unit Two-fifths units
Considering the circle of the given equation, and comparing to the standard equation of a circle, it is found that the given circle has radius is of [tex]\frac{1}{5}[/tex].
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is given by:
[tex]\left(x + \frac{1}{5}\right)^2 + \left(y - \frac{2}{5}\right)^2 = \frac{1}{25}[/tex]
Hence, the radius is found as follows.
[tex]r^2 = \frac{1}{25}[/tex]
[tex]r = \sqrt{\frac{1}{25}}[/tex]
[tex]r = \frac{1}{5}[/tex]
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Answer:
c 1/5
Step-by-step explanation:
A company that produces cell phones has a cost function of C = 4x^2 - 107x + 4322, where C is the
cost in dollars and c is the number of cell phones produced in thousands). How many units of cell phone
(in thousands) minimizes the cost function?
Based on the cost function, the company that produces cell phones can minimize the cost function at 13.4 cell phones.
What number of cell phones are sold at the minimized cost function?To minimize the cost function, you should differentiate it.
= 4x² - 107x + 4322
dC/dx = 0
8x - 107 = 0
Solving gives:
8x = 107
x = 107 / 8
= 13.4 cell phones
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A figure is made up of three triangles. Each triangle has a base of 5 feet and a height of 4.5 feet. What is the total area of the figure?
Group of answer choices
33.75 ft²
43.75 ft²
67.5 ft²
22.5 ft²
Answer:
Step-by-step explanation:
3 * 1/2 * 5 * 4.5
= 33.75 fT^2.
You pick a card at random.
3 4 5 6
What is P(not 6)?
Write your answer as a fraction or whole number.
Answer:3 or 3/10
Step-by-step explanation:
simplified?
0.0007 - (4.9 × 10^-7)
A.
4.8993 × 1^0-7
B.
6.9951 × 10^-7
C.
2.1 × 10^-4
D.
6.9951 × 10^-4
Answer:
Option B
Step-by-step explanation:
Given the following question:
In order to find the answer, we need to convert the scientific notation into standard notation and then simplify by subtracting the decimals. Then we convert the standard notation back into scientific notation.
[tex]0.0007 - (4.9\times 10^{-7} )[/tex]
[tex]4.9\times10^{-7} =0.00000049[/tex]
[tex]0.0007-0.00000049[/tex]
[tex]0.0007-0.00000049=0.00069951[/tex]
[tex]=0.00069951[/tex]
[tex]0.00069951=6.9951 \times10^{-7}[/tex]
[tex]=6.9951 \times10^{-7}[/tex]
Your answer is "6.9951 × 10^-7" or option B.
Hope this helps.
Write the following as an inequality
X is greater than -9 and less than 9
use x only once in your inequality.
Answer:
-9 < x < 9
Step-by-step explanation: "<" is the symbol for "less than". -9 is less than x, or x is greater than -9. x is less than 9.