Maya claims that 8n is the number of dots in figure n. Kiana claims that the number of dots in figure n is given by 4(n+1)
Consider the square arrangements below in relation to the girls' expressions, where n represents the figure number.
Determine whether Maya, Kiana or both girls are correct in their given expressions. Justify your response.
The evaluation of your response will be based on the following criteria.
Answers
Answer:
Answer:
Kaya's answer is correct.
Step-by-step explanation:
The number of dots in successive figures are
8, 16, 24.
So Kaya's solution 8n is correct.
When n = 1, first square = 8*1 = 8 dots
n = 2: second square = 8*2 = 16
n = 3, 3rd square = 8*3 = 24.
If I have interpreted Kianna's formula correctly
for n = 1, then the number of dots = 2(1+ 1)^2 - 2(1 - - 1)^2
= 0.
Related Questions
Of the 1,400 students enrolled at a Middle School, 40% of students enrolled are in the 6th grade. How many students are enrolled in 6th grade? Explain how you got your answer.
Answers
Answer:
560 students
Step-by-step explanation:
1400*.40=560 students in 6th grade
Chloe just saw a sign that said the park is 10 miles away, so the drive is almost over. If Chloe's father drives 50 miles per hour, how many more minutes will it take to reach the park?
Answers
Answer:
12 more miles
Step-by-step explanation:
she drives 50 miles an hour and the park is 10 miles away so 60 divided by 5 is 12.
The first and thirteenth terms of an arithmetic sequence are 7/9 and 4/5, respectively. What is the seventh term?
Answers
Here,
Let the first term be denoted by a and commom difference by b.
Now,
T1 = a
= 7/9
T13 = a + 12 d
or, 4/5 = 7/9 + 12d
or 12d = 4/5 -7/9
or, 12d = 1/45
or, d = 1/410.
then,
T7= a + 6d
= 7/9 + 1/410
= 2879/2870
Please check the answer and tell me whether it is correct or not.
Which mathematical sentence is a correct translation of the problem, where s represents the variable average speed?" Dan was riding in a bicycle race. After the first five hours of racing, he had ridden more than 175km. What can you say about his average speed?
Answers
Answer:
ejhdd dnnxjxnxnx
Step-by-step explanation:
3838 3673
Answer:
5s=175
Step-by-step explanation:
Jim has an annual salary of $96,000. His monthly expenses include a $2,500 mortgage payment, a $250 lease
payment, $500 in minimum credit card payments, and a $425 payment on his speed boat. He also receives $1,200 in
interest from his savings and other accounts each month. Calculate Jim's DTI (debt-to-income) ratio.
a. 30%
b. 35%
c. 40%
d. 45%we
Answers
Answer:
40%
Step-by-step explanation:
(c) in Edge2020
The Debt to Income Ratio of Jim is 40%
Data;
Annual Income = $96,000 + (1200 * 12) = $96000 + 14400 = $110,400Mortgage payment = $2500 * 12 = $30,000Lease payment = $250Speed boat = $425 Credit card = 500 * 12 = $6000Debt To Income RatioThis is calculated as the sum of his total expenditures or liabilities to his total asset and expressed as a percentage.
Total liabilities is calculated as
[tex]30,000 + 5100+3000+ 6000 = $44100[/tex]
The DTI can be calculated as
[tex]DTI = \frac{44100}{110400}*100\\DTI = 39.94 *100\\DTI = 40 \%[/tex]
From the calculations above, the DTI of Jim is 40%
Learn more debt to income ratio here;
https://brainly.com/question/13522402
PLEASE ANWSER
POR FAVOR
Answers
Sorry the picture won't load for me I'm not sure if it's just my wifi.
Which atom or ion is the largest?
ОА. К
ОВ. к*
ОС. Са
гO D.
Са2+
O E. Li
Answers
Answer:
o.a k
Step-by-step explanation:
All of the following are correct except _____. 3 2 + 5 - 2 = 12 3 2 - 5 + 2 = 6 3 2 5 + 2 = 47 3 2 + 5 2 = 28
Answers
Answer:
269
Step-by-step explanation:
Is Amit's work correct? No, he should have used the origin as the center of the circle. No, the radius is 10 units, not 5 units. No, he did not calculate the distance correctly. Yes, the distance from the center to (2, –2) is not the same as the radius.
Answers
Answer:
C. No, he did not calculate the distance correctly.Step-by-step explanation:
The question is incomplete. Here is the complete question.
A circle centered at (–1, 2) has a diameter of 10 units. Amit wants to determine whether (2, –2) is also on the circle. His work is shown below. The radius is 5 units. Find the distance from the center to (2, –2). The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius. Is Amit’s work correct? No, he should have used the origin as the center of the circle. No, the radius is 10 units, not 5 units. No, he did not calculate the distance correctly. Yes, the distance from the center to (2, –2) is not the same as the radius.
For Amit to determine whether the point (2, -2) is on the circle, we will need to find the distance between the coordinates (–1, 2) and (2, -2) using the formula:
D = √(y₂-y₁)² + (x₂-x₁)²
D = √(-2-2)² + (2-(-1))²
D = √(-4)² + (2+1)²
D = √16 + 9
D = √25
D = 5 units
Since the distance between the coordinate is equal to the radius of the circle, hence the coordinate (2, -2) lies on the circle.
Hence Amit is wrong because he did not calculate the distance correctly
What kind of triangle is BCD?
Answers
-38=-6x +4(x-7) simply the answer
Answers
Answer:
x=5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction
Answers
Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
Learn more about quadratic equations here:
brainly.com/question/17177510
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the volume of a cube is 1331 in .^3. how long is each side?
Each side of the cube is___ in. long.
Answers
Answer
11 inches
Step-by-step explanation:
No explanation.
Given that
2
x
−
9
y
=
11
Find
y
when
x
=
7
Answers
Answer:
y=3÷9
Step-by-step explanation:
2x-9y=11
or,2×7-9y=11
or,14-11=9y
or,3÷9=y
Which of the following best describes the English expression fourteen less
than the quantity of a number plus one?
A. (1 - x) +14
O B. 4 - 1
O C. (x + 1) - 14
D. (x - 1) +14
Answers
Answer:
c
Step-by-step explanation:
Sports companies cover the surface of a soccer ball with waterproof spray to prevent it from getting water logged. The radius of a soccer ball is 11cm. The formula to calculate Surface Area of a ball is SA = 4πr2 S A = 4 π r 2 . How much surface do they need to cover with the spray?
Answers
Answer:
310.73cm^2Step-by-step explanation:
The expression for the total surface area is
SA=4πr^2
given that r=11cm
we want to substitute the value of r to solve for the area
SA=4πr^2
SA=4*3.142*(11)^2
SA=2.568*11^2
SA=2.568*121
SA=310.728
Therefore they need to cover a surface of 310.73cm^2
A set of 8 drinking glasses cost $24. What is the cost of each glass?
Answers
Answer:
The cost of each glass is $3.
Step-by-step explanation:
If you set this up as an equation it would look like this:
Key: x=Number of glasses
8x = 24
/8 /8
x = 3
Hope this helps!
Answer:
$3 each
Step-by-step explanation:
24 divided by 8 is 3, therefore the drinking glasses are $3 each.
Translate the following sentence into an equation, then find the number. Five times a number less than 18 is is equal to 13.
Answers
Answer:
The answer would be 5x-18=13
Step-by-step explanation:
When given five times than a number, 5 would be multiplied by (x) since x can be any number. Less than 18 means subtract 18. Is equal to means an eual sign and the equation is equal to 13.
Write the first five terms of each sequence. An arithmetic sequence with a common difference of 1.3 and a first term of 5.2.
Answers
Answer:
5.2,10.4,15.6,20.8,26
Step-by-step explanation:
Given that,
Common difference of an AP, d = 1.3
First term, a = 5.2
We need to find the first 5 term of the sequence.
Second term,
[tex]a_2=a+(n-1)d\\\\a_2=5.2+(2-1)(5.2)\\\\a_2=10.4[/tex]
Third term,
[tex]a_3=5.2+(3-1)(5.2)\\\\a_2=15.6[/tex]
Fouth term,
[tex]a_4=5.2+(4-1)(5.2)\\\\a_4=20.8[/tex]
Fifth term,
[tex]a_5=5.2+(5-1)(5.2)\\\\a_5=26[/tex]
The AP is : 5.2,10.4,15.6,20.8,26
find the square root of 144
Answers
Answer:
12
Step-by-step explanation:
Hi there !
144 | 2
72 | 2
36 | 2
18 | 2
9 | 3
3 | 3
1
144 = 2⁴ × 3²
√144 = √2⁴×3² = 2²×3 = 4×3 = 12
Good luck !
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation $10x+12y=300$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts
Answers
Answer:
a. i) Please see the included graph of the equation $10·x + $12·y = $300
ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered
Step-by-step explanation:
The given information are;
The cost of each short-sleeved shirt = $10
The cost of each long-sleeved shirt = $12
The amount available in the budget = $300
The equation for the total cost = $10·x + $12·y = $300
Where;
x = The number of short-sleeved shirts
y = The number of long-sleeved shirts
Rewriting the equation given in slope and intercept form, we have;
$10·x + $12·y = $300
$12·y = $300 - $10·x
y = $300/$12 - $10·x/$12
y = 25 - 5/6·x
Please find attached, the graph of the equation made with Microsoft Excel
The values of the data that can calculated to plot the graph are;
x, y
(0, 25 )
(5, 20.83 )
(10, 16.67)
(15, 12.5 )
(20, 8.33)
(25, 4.17)
(30, 0 )
The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.
The graph of the equation is shown below.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Given:
Short-sleeved shirts cost $10 each.
Long-sleeved shirts cost $12 each.
The total budget is $300.
The given equation is:
[tex]10x+12y=300[/tex]
where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.
To find:
The graph of the given equation and the interpretation for the intercepts.
Explanation:
We have,
[tex]10x+12y=300[/tex]
Substitute [tex]x=0[/tex].
[tex]10(0)+12y=300[/tex]
[tex]12y=300[/tex]
[tex]y=\dfrac{300}{12}[/tex]
[tex]y=25[/tex]
So, the y-intercept is at point (0,25).
Substitute [tex]y=0[/tex].
[tex]10x+12(0)=300[/tex]
[tex]10x=300[/tex]
[tex]x=\dfrac{300}{10}[/tex]
[tex]x=30[/tex]
So, the x-intercept is at point (30,0).
Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Learn more:
https://brainly.com/question/13859754
Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75
Answers
Answer:
22.25
Step-by-step explanation:
there are no special things to be considered.
You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:
20.25 + 2 = 22.25
An employee at a cell phone store makes $15 per hour plus a commission of 2.5% of her phone sales. This week she sold 40 phones averaging $450 each. What is there
Commission this week?
Will brainliest and 15 points!!!!
Answers
Answer:
$450
Step-by-step explanation:
15h+0.025p
h represents the number of hours they worked, and p represents the number of phones sold, so (450•0.025)•40=450, so the commission is a total of $450.
Answer: $450
Step-by-step explanation: An employee at a cell phone store makes $15 per hour plus a commission of 2.5% of her phone sales. This week she sold 40 phones averaging $450 each. What is there
Commission this week?
Will brainliest and 15 points!!!!
There are about 4,000,000 students attending school, kindergarten through Grade 12, in New York. The average number of students attending a middle school in New York is 8 x 10^2. Approximately how many times greater is the overall number of K–12 students compared to the average number of middle school students?
Question 1 options:
A. 200,000,000 times greater
B. 2,000,000 times greater
C. 50,000,000 times greater
D. 5,000 times greater
Answers
Answer:
C
Step-by-step explanation:
big number
Answer:
D
Step by step explanation:
08*10^2=800
4,000,000/800=5,000
What is the y-intercept of A line has a slope of -3 and passes through point (-5,4)?
Answers
Answer:
-11
Step-by-step explanation:
I need help with this question
Answers
Answer:
I think it is D
Step-by-step explanation:
please 5 stars
Answer:
the answer is b 24
Step-by-step explanation:
12,24
8,16,24
On a road trip, John covers 400 miles in 8 hours, including stops. If he maintains the same pace, how far (to the nearest mile) will he be from his starting point after 15 hours of driving?
Answers
Answer: 750 miles
Step-by-step explanation:
From the question, we are informed that on a road trip, John covers 400 miles in 8 hours, including stops. This means that John for every hour, John covers 50 miles (400/5).
For 15 hours of driving, John will have covered:
= 15 × 50miles
= 750 miles
Jimmy has to fill up his car with gasoline to drive to
and from work next week. If gas costs $3.00 per
gallon, and his car holds a maximum of 20
gallons, what is the domain and range of the
function?
Answers
Answer: 25$
Step-by-step explanation:
3:00 per hour x 20 - 3.30
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes.
Both ran at a constant speed.
Did they run at the same rate? Explain or show your reasoning.
I
They did not run at the same rate because
Answers
Answer:
They do not run at the same rate because Jada ran at a rate of .150km per min, while Andre ran at .133333 km per minute.
Step-by-step explanation:
Andre ran : 2km/15min = .133333km per min
Jada ran: 3km/20min=.150km per minute
.150>.1333, so Jada ran at a higher rate of kilometers per minute.
Write ✓-63 in simplest radical form.
Answers
Answer:
√63
√9⋅7
√3⋅3 ⋅7
3√7
Step-by-step explanation: Hope this helps
3i√7
[tex]\textbf{Step-by-step explanation:}[/tex]
Rule for negative square roots: √-1=i
√-63
√-1•63
√-1•9•7
3i√7
