NEED HELP!
Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Write a system to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.
At the end of 3 month both have equal number of CDs i.e. 33
Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Write a system to find the number of months after which they will have the same number of CDs.
Equation, is values of two expression that are equal.
Let x represent the number of months and y the number of CDs.
now
For Tom
Y = 30 + X
for Nita
Y = 18 + 5X
now solving both equation
30 + X = 18 + 5X
4X = 12
X = 3
for X = 3 y = 33
Thus At the end of 3 month both have equal number of CDs i.e. 33
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two consecutive even integers have a sum of 346. Find the smailler of these two numbers
Answer:
Smallest number = 172
Step-by-step explanation:
Two consecutive even integers have a sum of 346.
Let x be the smallest number.
We have other number = x + 2
We also have
x + x + 2 = 346
2x + 2 = 346
2 x = 344
x = 172
Smallest number = 172, Other number = 172 + 2 = 174
Smallest number = 172
Bryan is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 15 km/h. After seven hours, the velocity of the cyclist is 12 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equations obtained in Part A for the first 12 hours? (5 points)
Part A.
What we can do to solve this problem is to assume that the acceleration of Bryan is constant so that the velocity function is linear. The standard form of a linear function is in the form:
y = m x + b
or in this case:
v = m t + b
where v is velocity and t is time, b is the y –intercept of the equation
The slope m can be calculated by:
m = (v2 – v1) / (t2 – t1)
m = (12 – 15) / (7 – 4)
m = -1
Since slope is negative therefore this means the cyclist are constantly decelerating. The equation then becomes:
v = - t + b
Now finding for b by plugging in any data pair:
15 = - (4) + b
b = 19
So the complete equation is:
v = - t + 19
This means that the initial velocity of the cyclists at t = 0 is 19 km / h.
Part B. What we can do to graph the equation is to calculate for the values of v from t = 0 to 12, then plot all these values in the Cartesian plane then connect the dots.
f (x) = x3 + 2, g(x) = x2 – 1, h(x) = 3x Evaluate. g(h( f ((–1))) = ?
Answer:
It's 8
Step-by-step explanation:
Took one for the team and got it wrong to get the right answer which is 8. Just took it. Edg 2020. Hope this helps :)
Btw be confident today cause honey you are beautiful! Just see what a little confidence in yourself can do <3
What is the value of x in the equation −x = 6 − 4x + 18?
24
8
−8
−24
Find the circumference of the following circle. (Use 3.14 for π.)
15.7 in.
78.5 in.
19.63 in.
31.4 in.
The circumference of the circle is 15.7 inches.
What is circumference?Circumference can be defined as the total distance around a circle.
To calculate the circumference of the circle, we use the formula below.
Formula:
P = πd............... Equation 1Where:
P = Circumference of the circled = Diameter of the circleπ = pie.From the question,
Given:
d = 5 inchesπ = 3.14Substitute these values into equation 1
P = 3.14×5P = 15.7 inches.Hence, The circumference of the circle is 15.7 inches.
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Two spheres of the same density have a ratio of 9 to 16 in surface area. If the small sphere weighs 15 kg, what does the large sphere weigh?
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
The simplest form expression for the addition of the fractions given using the lowest common multiple of of the denominator is 2/3.
Given the fractions :
1/4 + 5/12The lowest common multiple of the denominator ;
Lowest common multiple of 4 and 12 = 12
1/4 + 5/12 = (3 + 5) / 12
1/4 + 5/12 = 8/12
Expressing in simplest form :
8/12 = 2/3
Therefore, the simplest form expression of the addition is 2/3
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X to the power of three equals 343
if structural steel installed in 2.75 floors of a building 2 3/8 day , how long will it take to install steel in 11 floors
How does a digit in the ten thousands place compare to a digit in the thousands place
You begin solving the equation 3+4x=51 by subtracting 3 from both sides. Which is the best choice for Step 2? Subtract 48 from both sides. Multiply both sides by 4. Divide both sides by 4. Divide both sides by 48.
The solution of the given equation is x=12. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3+4x=51.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Subtract 3 from both sides, we get
4x=48
Divide both sides by 4, we get
x=12
Therefore, option C is the correct answer.
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4.35 / 5 show the work
gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to work out?
1.If 70% is £14, what is the full cost
2.4 bags of cement do 18msquared, how many msquared can be done with 7 bags
3.5x+1=3
4.find the nthe term of this sequence 7,12,17,22,27
4.if t(n)=6n+2 what is the 3rd term
The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number? x − (x + 8) = 72 x + (x + 8) = 72 x(x + 8) = 72 x(x − 8) = 72
32.1in.×28.2in.×1ft.=
since 2 of the 3 are in inches convert the 3rd one to inches
1 foot = 12 inches
now multiply 32.1 x 28.2 x 12 = 10,862.64 cubic inches
Can a triangle be drawn with the following angle measures? Why or why not?
50°, 70°, 70°
no, the 3 angles of a triangle need to equal 180 degrees
70 +70 +50 = 190 degrees so it cant be a triangle.
A bedroom is 5.2 meters wide. find it's width in feet (1 meter= 3.28 feet)
NEED URGENT HELP!
Match the graph with the correct equation.
y – 5= –(x + 3)
y – 3 = –(x + 5)
y – 3 = (x + 5)
y + 3 = –(x + 5)
Answer: The correct option is (B) [tex]y-3=-(x+5).[/tex]
Step-by-step explanation: We are given to match the graph shown with the correct equation.
From the graph, we note that
(-5, 3) and (0, -2) are two points that lie on the line graph.
So, the slope of the given graph is
[tex]m=\dfrac{-2-3}{0-(-5)}\\\\\\\Rightarrow m=\dfrac{-5}{5}\\\\\Rightarrow m=-1.[/tex]
Since the point (-5, 3) lies on the line, so its equation in point-slope form will be
[tex]y-3=m(x-(-5))\\\\\Rightarrow y-3=-(x+5).[/tex]
Thus, option (B) is CORRECT.
Jackie's total number of coins is 204.. She has twice as many quarters as nickels and three times as many dimes as nickels.. How many of each coin does she have ??
Thank you so much :)
A telephone pole casts a shadow that is 37 m long. Find the height of the telephone pole if a statue that is 33 cm tall casts a shadow 83 cm long.
Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot below shows the temperatures from the previous year during the time that Dominick will take his vacation: box plot labeled Orlando with min at 64.5, Q1 at 65.5, median at 67.5, Q3 at 71.5, max at 72.5. Box plot labeled Tampa Bay with min at 60, Q1 at 63.5, median at 66.25, Q3 at 72.5, max at 74 Which city should Dominick visit, and why?
Answer:
He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average.
Step-by-step explanation:
17.16 is 62.4%of what
divide
17.16/0.624 = 27.5
A sailfish can swim up to 68 miles per hour. At this rate, how far can a sailfish swim in 1 fourth hour?
1/4 of an hour
68 miles per hour
multiply 68 by 1/4 = 68/1 *1/4 = 68/4
divide 68 by 4
68/4 =17
it can swim 17 miles
68.32 divided by 2.8
Answer:
24.4
Step-by-step explanation:
We are asked to divide 68.32 by 2.8.
First of all, we will write our given problem as a division problem.
[tex]\frac{68.32}{2.8}[/tex]
We can see that our numerator has two digits after decimal and denominator has one digit after decimal, so we will multiply numerator and denominator by 100 as:
[tex]\frac{68.32\times 100}{2.8\times 100}[/tex]
[tex]\frac{6832}{280}=24.4[/tex]
Therefore, the quotient of our given problem is 24.4.
24.4
Further explanationWe will determine the quotient of 68.32 against 2.8.
Notes:
The division process is the arithmetic operation of the distribution of equal parts of a number. The division is the opposite of the multiplication process.24.4 __
2.8 ) 6 8 . 3 2
- 6 7 . 2 [tex]\downarrow[/tex]
1 . 1 2
- 1 . 1 2
0
Please see the attached picture.
The terminology of the division operation associated with the above scheme is as follows:
[tex]\boxed{ \ 68.32 \rightarrow the \ dividend \ }[/tex][tex]\boxed{ \ 2.8 \rightarrow the \ divisor \ }[/tex][tex]\boxed{ \ 24.4 \rightarrow the \ quotient \ }[/tex] [tex]\boxed{ \ 0 \rightarrow the \ remainder \ }[/tex]Therefore, 68.32 divided by 2.8 is divisible because the remainder is zero.
Thus, the quotient of 68.32 divided by 2.8 is 24.4.
- - - - - - - - - -
Alternative Strategy
[tex]\boxed{ \ 68.32 = 56 + 12.32 \ }[/tex]
[tex]\boxed{ \ 68.32 \div 2.8 = (56 \div 2.8) + (12.32 \div 2.8) \ }[/tex]
[tex]\boxed{ \ 68.32 \div 2.8 = 20 + 4.4 \ }[/tex]
[tex]\boxed{\boxed{ \ 68.32 : 2.8 = 24.4 \ }}[/tex]
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Two equations are shown: Equation A y = 4 over x + 3 Equation B y = −2x − 4 Which statement best compares the graphs of the two equations? Both are nonlinear. Both are linear. Equation A is nonlinear and Equation B is linear. Equation A is linear and Equation B is nonlinear.
SHOW WORK!!
Answer:
The answer is C. Equation A is nonlinear and Equation B is linear.
Hope This Helps!
Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.
Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
What are Similar Triangles?If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.
Thus:
BC/EF = AC/DF
Substitute8/2x = 3/5
Cross multiply40 = 6x
Divide both sides by 6x = 6⅔.
In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
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graph the opposite of the number shown on each number line
-1 = n+5 what does n equal to