Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
6.5x - 8.25x = 9 - 37
-1.75x = -28
x = 16
The number of weeks when Jack and Diane would have the same amount of money is 16 weeks.
Equations that represents the amount of money savedTotal amount of money saved = amount the person has + (amount the person saves per week x number of weeks)
Total amount of money Jack saves = $37 + ($6.50 x w)
Total amount of money Diane saves = $9 + ($8.25 x w)
Number of weeks when they would have the same amount of moneyWhen Jack and Diane would have the same amount of money, the equations that represent the total amount of money saved for both individuals would be equal.
$37 + $6.50w = $9 + $8.25w
combine similar terms
$37 - $9 = $8.25w - $6.50
$28 = 1.75w
Divide both sides of the equation by 1.75
w = 16 weeks.
To learn more about how to determine when two people would have equal quantities, please check: https://brainly.com/question/25711114
What is greater than 0.58 and less than 0.6
Answer:
0.59 im assuming
Step-by-step explanation:
Answer:
0.6=3/5
Step-by-step explanation:
4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?
HELP ME Look at the photo,
Answer:
I believe... x=12
Step-by-step explanation:
5x = 4x + 12
5x - 4x = x
therefore, x = 12
hope this helps :)
Which ordered pair is a solution to the system
Answer:
I think it might be this one(-2,0)
Which statement is true about angle DCB and angle ACF
Answer: they are complementary but not necessarily congruent
Step-by-step explanation:
Which graphs of ordered pairs represent functions?
Answer:
I thin its b.
Step-by-step explanation:
Find the volume of a cone with a base diameter of 10 cm and a height of 9 cm
Answer:
235.71cm^2
Step-by-step explanation:
Volume of cone = 1/3 pie r^2 h
1/3*22/7*5*5*9
= 235.71cm^2
Volume of a cone is 235.6 cm³.
Why is the volume of a cone?The volume of a cone with height h and radius r is 1/3πr2h, which is exactly one third the volume of the smallest cylinder that it fits inside. This can be proved easily by considering a cone as a solid of revolution, but I would like to know if it can be proved or at least visual demonstrated without using calculus.The volume of a cone is calculated the using the formula:
[tex]V = \frac{1}{3} \pi r^{3} h[/tex]
Given,
height of the cylinder is, h=9cm.
The diameter of the base is 10cm. r = 5 cm
put the values into the formula to get -
V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]
[tex]V = 75 \pi[/tex]
Put value of π = 3. 14 ,
V = 75 * 3.14
V = 235.6 cm³
Therefore, Volume of a cone is 235.6 cm³.
Learn more about Volume of a cone brainly.com/question/1578538
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In a scale drawing, Matt's dining room measures 6 inches long by 4 inches wide. The actual length of the dining room is 12 feet. What is the actual width of the dining room?
Answer:
8
Step-by-step explanation:
make a ratio
length of scale/width of scale=length of real/width of real
6/4=12/x
x=8
Hope that helps :)
Solve 58 - 10x * 20 * 9x.
O A rs-2
B. X-2
C. XS2
O D. x22
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Answer:
66 sq.ydStep-by-step explanation:
Given,
Base of the parallelogram = 11 yd
Height of the parallelogram = 6 yd
Therefore,
Area of the parallelogram = base × height
= 11 yd × 6 yd
[tex] = 66 {yd}^{2} [/tex]
Hence,
Area of the parallelogram is 66 sq. yd
2(3x + 5) - 4(x - 1)
Simplified form
Answer:
5x+11
Step-by-step explanation:
Hope this helped!!!
Answer:
2x+14
Step-by-step explanation:
hope this helps!
have a great day!!
Evaluate the expression below when x = 2 and z = 12. z + 5x^3
Answer:
52
Step-by-step explanation:
z + 5x ^3
12 + 5*(2^3)
12 + 5 * 8
12 + 40
52
Which is the graph of x - y = 1?
y
y
5
5
4
4
3
3
3
2
2
2
1
1
4
3
1 2
5
5
4-3-2-1,
1 2 3 4 5 X
4
1 2 3
5-4-3-2-11
5-4-3-2-1
2
-2
2-
-3
3
4
4
5
5
ly
5
4
3
Answer:
the 3rd graph
Step-by-step explanation:
The graph which represents x-y = 1 is; The 3rd graph.
Graph of a straight lineFrom the task content, the given equation of the line is; x - y = 1.
By rearranging the equation to take the slope-intercept form;.
y = x - 1.Hence, slope of the graph is 1 and the y-intercept of the graph is -1.
On this note, only the 3rd graph satisfies the conditions above.
Read more on graph of a straight line;
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ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
help pls asap
Answer:
m<K, m<J, m<I
Step-by-step explanation:
The size of angles and sides correspond. The larger the side, the larger the angle must be. So, this means the largest angle will be directly across from the longest side. Since <K is across from the smallest side, it is the smallest angle. Additionally, <I is across from the longest side so it is the largest.
Find the future value and interest eared if $8906.54 is invested for 8 years at 5% compounded semiannually
Answer:
ummm yes 19293
Step-by-step explanation:
A die and a coin are tossed together . Probability of getting a head on the coin is
Simplify 15 – 3(6 – 4)
Answer:
9
Step-by-step explanation:
15-3(6 -4)
=15-3(2)
=15-6
=9
Therefore 9 is the answer
Answer:
9
Step-by-step explanation:
Calculate the volume of the figure.
2 cm
3 cm
F
|
-
-
-
3 cm
3 cm
O 15 cm
33 cm
O 45 cm
O 54 cm
What is the value of x, if the volume of the sone i
Answer:
33 cm
Step-by-step explanation:
volume of the under the pyramid Is 3×3×3=27
volume of pyramid is 3×3×2=18
divide 18 ÷3 =6
27+6=33
the reason why we divide by 3 because ti's is the formula
Answer:
1. B 130 2/3ft^3
2. B 226 in^3
3. B 33 cm^3
4. A 4 m
5. D 15m
Step-by-step explanation:
I got a 100! For connexus students, hope this helps!!
In a recent survey by the National Association of Colleges and Employers, the average starting salary for college graduate with a computer and information sciences degree was reported to be $62,194.40 You are planning to do a survey of starting salaries for recent computer science majors from your university. Using an estimated standard deviation of $11,605, what sample size do you need to have a margin of error equal to $5000 with 95% confidence
Answer:
A sample size of 21 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Using an estimated standard deviation of $11,605
This means that [tex]\sigma = 11605[/tex]
What sample size do you need to have a margin of error equal to $5000 with 95% confidence
A sample size of n is needed. n is found when M = 5000. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5000 = 1.96\frac{11605}{\sqrt{n}}[/tex]
[tex]5000\sqrt{n} = 1.96*11605[/tex]
[tex]\sqrt{n} = \frac{1.96*11605}{5000}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*11605}{5000})^2[/tex]
[tex]n = 20.69[/tex]
Rounding up,
A sample size of 21 is needed.
Point Q is located at (-9, 10).
Where is Q' after a translation
4 units right and 11 units down?
Answer:
(-5, -1)
Step-by-step explanation:
Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: (4,-11)
Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates
Answer:
4,-11
Step-by-step explanation:
The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11
pls mark as brainliest!!
You can get 6 tickets for $39 at the local movie theater. How much is each ticket?
Answer:
$6.50
Step-by-step explanation:
39 / 6 = 6.5
Answer:
$6.50
Step-by-step explanation:
Hi,
To get the cost per ticket, all you have to do is divide 39 by 6. When you do that you get, 6.5 which means each ticket costs $6.50.
I hope that helps :)
If f(x)= 2(3 to the power of x) +1 what is the value of f(2)
Answer:
19
Step-by-step explanation:
f(x)= 2(3^x) + 1
f(2)= 2(3^2) + 1
= 2(9) + 1
= 18 + 1
= 19
MAFS.4.0A.1.2
2. Eddie has 50 marbles. Manny has m marbles. If Eddie
has 10 times as many marbles as Manny, write an
equation that shows how many marbles Manny has.
Solve for x. Assume that lines which appear tangent are tangent.
Answer:
Step-by-step explanation:
What is the equation relating x and
y together?
X
1
2
3
4
5
-9
-8
-7
-6
-5
y=X-[ ?]
Answer:
If y=x-?, it'd have to be something like y=X-(1-10) etc.
Step-by-step explanation:
I don't think you're giving us enough, but that should be what it is, try to associate that with the full problem or format.
3
S
1+ 305
[tex]3 - \sqrt{5 } \div 1 + \sqrt[3]{5} [/tex]
Step-by-step explanation:
can you throw more light on what you want us to find?
Find the slope of 3y = 6x + 4
What number should be added to both sides of the equation to complete the square? x-^2+8x=4
Answer:
2.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Please help i'll give brainliest please dont attach file
You and your friend skate at the same rate. You complete 7 laps in 9 minutes. How long does your friend take to complete 14 laps?
Answer: 10=8 11=9 12=10 13=11 14=12 15=13 16=14 17=15
Step-by-step explanation: