the least number by which 7203 must be divided to make the result a perfect square is____
Answer:
Step-by-step explanation:
we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49
[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]
Clearly 3 has no pair! That means if we divide 7203 by 3, we get 2401 which is the square of 49. Hence, the smallest number by which 7203 must be divided to make the result a perfect square is 3.____________________________________________
Which expression is equivalent to 5 EXPONENT 4 X5 EXPONENT NEGITIVE 4
Answer:
1Step-by-step explanation:
5⁴ * 5 ⁻⁴ = 5⁴⁻⁴ =5⁰ =1or
5⁴ * 5 ⁻⁴ = 5⁴ / 5⁴ =1⦁ The weekly sales of ABM students on their "Go Negosyo" project are normally distributed with mean of P3,200 and standard deviation of P500. What percent of their weekly sales are over P4,000? A. 94.52% (B). 77.34% C. 5.48% D. 22.57%
Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:
C. 5.48%
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].
The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4000 - 3200}{500}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548 = 5.48%.
Hence option C is correct.
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Jane wrote all the natural numbers from 5 to k. including 5 and k
how many numbers did Jane write?
need help!!!
Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"
So Jane wrote k numbers.
lets take an example
if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.
Hence she write k numbers.
Jane wrote k - 4 natural numbers for the given condition.
What are natural numbers?Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Jane wrote all the natural numbers from 5 to k, including 5 and k.
So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.
To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.
1, 2, 3, 4, 5, ..., k-1
So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.
Therefore, she wrote k - 4 natural numbers.
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Maya has to type a document of 2160 words. The graph below shows her initial progress. If
she continues at the same speed, how much time will Maya take to type the document?
The time it takes to type the document increases proportionately to the
number of words in the document.
The time it would take to type the document is; 36 minutesReasons:
From the possible figure from a similar question, we have;
The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)
The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;
The slope of the graph = 60
The y-intercept = 0
The equation that represents the proportional relationship shown on the graph is therefore;
y = 60·x
Where;
y = The number of words
x = The time it takes to type the document
The time it would take Maya to type the document of 2,160 words is given as follows;
2,160 = 60·x
Therefore;
[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]
The time it would take Maya to type the document is x = 36 minutes
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will mark brainleist
Answer:
atoc40 /atob40/ctob20
i hope i help
Answer:
67
Step-by-step explanation:
angle c = angle b = 5x + 4
angle a = 46
A + B + C = 180
46 + 10x + 8 = 180
10x = 180 - 54
10x = 126
x = 12.6
5x + 4 = 12.6 x 5 + 4
= 67
WILL GIVE BRAINLEST
Robert is ordering jerseys for the baseball team
A local company charges $5,25 for each jersey and $45 to create the design
An online company charges $7.75 for each jersey and $20 to create the design
For which number of jerseys is the cost the same at both companies?
A)26 jerseys
B)1 jersey
С)5 jerseys
D)10 jerseys
Answer: D) 10 jerseys
Step-by-step explanation:
Let j represent the number of jerseys and C for total cost
Local company eqn: C = 5.25j + 45
Online company eqn: C = 7.75j + 20
Set both sides equal to solve:
5.25j + 45 = 7.75j + 20
5.25j - 7.75j = 20 -45
- 2.5j = -25
[tex]\frac{-2.5j}{-2.5}=\frac{-25}{-2.5}[/tex]
j = 10
Therefore, the cost is the same for both companies when 10 jerseys are sold
solve for A and line AB
Answer:
a = 22
AB = 50
Step-by-step explanation:
[tex]a-5=17[/tex]
[tex]a=17+5[/tex]
[tex]a=22[/tex]
Line AB=2a+6
[tex]2(22)+6=44+6=50[/tex]
[tex]AB=50[/tex]
Hope this helps
Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.
Which angle is congruent to angle DBA?
A. BCD
B. CBD
C. DBC
D. BDC
Taking point Z as the origin, the coordinates of the points on ΔBAD are
given by changing the sign of the coordinates of points in ΔDCB.
The angle that is congruent to ∠DBA is; D. ∠BDCReasons:
The given parameters are;
Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.
Required:
The angle congruent to ∠DBA.
Solution:
Given that the rotation of triangle DCB is 180°, we have that the
coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.
Therefore, side DC is parallel to side AB
Which gives;
∠DBA is congruent to ∠BDC by alternate interior angles theorem.
∠DBA ≅ ∠BDC
The angle that is congruent to ∠DBA is; option D. ∠BDC
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please help me asap!!!
ty :)
Answer:
the desired line is y = 3x - 4
Step-by-step explanation:
The slope formula is not needed here. If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.
Find the y-intercept as follows:
y = mx + b => 5 = 3(3) + b, or b = -4
Then the desired line is y = 3x - 4
a paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each box is 6 ft.³ and the volume of each large box is 12 ft.³ a total of 27 boxes of paper were shipped with a combined volume of 250 to cubic fe. graphically solve a system of equations in order to determine the number of small boxes shipped X and the number of large boxes shipped Y
Answer:
the answer is 10 :)
Step-by-step explanation:
Sleeper Class coaches of the Indian Railways have a seat numbering arrangement as shown
below. Each 'cubicle' seats 8 people as shown.
WINDOW SIDE
4
10
Middle
Seats
2.
6
3
AISLE (PASSAGE)
8
SIDE SEATS
7
Ramesh and his parents have 3 tickets and their seat numbers are 29, 30 and 31. What are their
seats?
A One aisle, one window, one middle seat.
B One middle, one aisle and one side seat.
C One aisle and two side seats
D Two side seats and one window seat
The drama club is selling tickets to their play to raise money for the show's expenses:
Each student ticket sells for $5 and each adult ticket sells for $7.50
The auditorium can hold no more than 75 people.
The drama club must make a minimum of $450 from ticket sales to cover the show's costs.
If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
see attached
Step-by-step explanation:
The two inequalities you want to plot are ...
x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people
5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs
__
These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.
The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.
On of the points in the potential solution area is shown in the attached graph:
(x, y) = (25, 50) . . . . fills the theater, gives $500 revenue
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
Amelie read 12 pages of her book each day for 4 days. Matthew read 12 pages of the same book each day for 8 days.
Answer:
if u are asking how many more pages Matthew read then it's 48 pages. If u are asking how many they read all together then it's 144 pages.
A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 divideDid divide by 6
Square ABCD is drawn on the coordinate plane (not shown) with vertex A(-4,-2) and the midpoint of side AB at (-1.-6). What is the area of the square?
Answer:
ab hehehe hende ko Alam hahahah
Hence, the area of the square [tex]AB[/tex] is [tex]5[/tex]
What is the area of square?
The area of a square is equal to
(side) × (side) square units.
Here given that,
Square [tex]ABCD[/tex] is drawn on the coordinate plane (not shown) with vertex [tex]A(-4,-2)[/tex] and the midpoint of side [tex]AB[/tex] at [tex]B(-1.-6).[/tex]
Given ertices are [tex]A(-4,-2)[/tex] and [tex]B(-1.-6).[/tex]
So,
[tex]AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5[/tex]
Hence, the area of the square [tex]AB[/tex] is [tex]5[/tex].
To know more about the area of square
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What value makes f(x)=11 if f(x)=5(4x-3)-2(x-6)
please answer asap
Please help me with this math problem!! NO LINKS PLEASE!! :)
Answer:
105°.
Step-by-step explanation:
1) to calculate m(∠ABC): m(∠ABC)=180-m(∠BAC)-m(∠(ACB)=180-90-65=25°;
2) note, m(∠ABC)=m∠(ABD)=25°, then it is possible
3) to calculate m(∠BAD): m(∠BAD)=180-m(∠ABD)-m(∠ADB)=180-25-50=105°.
Solve for m.
35m>−30
m>−50
m<−50
m>−18
m<−18
[tex]35m>-30\\\\\implies \dfrac{35m}{35}>-\dfrac{30}{35}\\\\\implies m>-\dfrac{6}{7}[/tex]
24) If the simple interest on $4,000 for 3 years
is $960, then what is the interest rate?
Answer:
8% annual
Step-by-step explanation:
first find the rate of 1 year. 960/3 = 320.
then find what % of 4,000, 320 is.
8%
Help me solve this please!
Answer:
x=15
Step-by-step explanation:
if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides
Please solve this question
Answer:
46?
Step-by-step explanation:
23*2=46
Answer:
37.31 cm
Step-by-step explanation:
∡ AB = 180 - 148 = 32° = ∡ DE
∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°
∡ CE = 61 + 32 = 93°
arc length = 2[tex]\pi[/tex]r [tex]\frac{angle}{360}[/tex] = 2×3.14×23×[tex]\frac{93}{360}\\[/tex] = 37.31 cm
the ratio to boys to girls in sixth grade is 5:3 if their are 400 sixth graders how many boys are their
Answer:
250 boys
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total by 8 to find the value of 1 part of the ratio
400 ÷ 8 = 50 , then
number of boys = 5 × 50 = 250
Answer : There is 250 boys in the sixth grade
Step - by - step explanation :
400 / [ 5 + 3 ] = 400 / 8 = 50
50 x 5 <-- The ratio of boys = 250
The 20th term of the number sequence is 50
Write down the 21st term of the number sequence.
I hope this help too.
Answer:-
The linear sequence 27, 25, 23, 21, 19... is an arithmetic progression with (-2) as the common difference.
The nth term of an arithmetic progression is an=a1+(n−1)da_n=a_1+(n-1)dan=a1+(n−1)d, where ana_nan is the nth term, a1a_1a1 is the first term, d is the common difference.
In our case, n=50,a1=27,d=−2n=50, a_1=27, d=-2n=50,a1=27,d=−2 , hence, we get
a50=27+49⋅(−2);a50=27−98=−71.a_{50}=27+49\cdot(-2);\\ a_{50}= 27-98=-71. a50=27+49⋅(−2);a50=27−98=−71.
The 50th term of this sequence is (-71).
36 ÷ ____ = 9 15 points
Answer:
36 ÷ __4__ = 9
Step-by-step explanation:
36/9 = 4, so
36 ÷ __4__ = 9
Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20. She wants the answer to always be 1. What is the value of n?
Answer:
5
Step-by-step explanation:
(4n+5)-n/20=1 cross multiply:(4n+5)-n=204n+5=20+n4n-n=20-53n=15Divide both sides by coefficient of nn=5Use substitution to solve each system of equations
2x -y = 6
-3y = -6x + 18
What’s the figure name
Answer:
Line GH or Line HG
Step-by-step explanation:
Hope it help !!
Answer:
line segmentStep-by-step explanation:
a point to a point which makes a straight line is called a line segment
helloo!!! please help me on this !!!!
It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°
[tex]\mathfrak{10x - 18 = 8x} [/tex]
[tex]\mathfrak{10x - 8x = 18} [/tex]
[tex]\mathfrak{2x = 18} [/tex]
[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]
[tex]\underline{\mathfrak{x = 9}} [/tex]
Measure of ∠R :
[tex]\mathfrak{8x} [/tex]
[tex]\mathfrak{8(9)} [/tex]
[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]
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