Using the digits 0-9, no more than once, complete the puzzle so that the sum of each side is equivalent.
Answers
Answer:
[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]
Step-by-step explanation:
[tex]\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}[/tex]
From the table,we can extract these equations:
a + e + b = a + c + f = b + g + d = c + h + d
a + e + b = a + c + f ⇒ e + b = c + f
b + g + d = c + h + d ⇒ b + g = c + h
[tex]\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e[/tex]
2 + 3 = 4 + 1 then let’s consider :
e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e
The table becomes:
[tex]\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}[/tex]
From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2
If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7
Then the table becomes
[tex]\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}[/tex]
Then a + 9 = d + 8 ⇒ d = a + 1
If we consider a = 8 ⇒ d = 9
[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]
I know it’s not perfect reasoning ,but it may help.
Related Questions
x² + y² = 8
x - y = 0
Select all of the following that are solutions to the system shown.
O (2, 2)
O (2,-2)
O (-2,2)
0 (-2,-2)
Answers
Answer:
[tex](2,2)~ \text{and}~ (-2,-2)[/tex]
Step by step explanation:
[tex]x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\[/tex]
[tex]\text{Hence,}~ (x,y) = (\pm2, \pm 2)[/tex]
What is the percent change 3.9 to 0
Answers
Answer:
a decrease of 100%
Step-by-step explanation:
im not fully sure butni hope it helps
There are three sets. A = {1,2,3}, B = {4,5} and C = {6,7,8}
What is the probability of A∩B∩C
Answers
The three sets are independent sets and the value of the probability of A∩B∩C is: 0
How to determine the probability?The sets are given as:
A = {1,2,3}, B = {4,5} and C = {6,7,8}
The total number of elements in the three sets is:
Total = 8
The number of elements of A∩B∩C is 0, because the sets do not have a common element.
So, the probability of A∩B∩C is:
P = 0/8
Evaluate
P = 0
Hence, the probability of A∩B∩C is: 0
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Can someone please solve for me
Answers
Let x = 0.263263263…
Then 1000x = 263.263263263…
Subtracting x gives
1000x - x = 263.263263263… - 0.263263263…
999x = 263
x = 263/999
Find the zeroes of the polynomial 100x^2 - 81
Answers
Answer:
x = ±0.9Step-by-step explanation:
The algebraic identity to be used here :
a² - b² = (a + b)(a - b)We know that :
100x² = (10x)²81 = 9²Therefore,
100x² - 81 (10x + 9)(10x - 9)The zeros are :
10x + 9 = 0 ⇒ 10x = -9 ⇒ x = -9/10 ⇒ x = -0.910x - 9 = 0 ⇒ 10x = 9 ⇒ x = 9/10 ⇒ x = 0.9Answer:
[tex]x=-\dfrac{9}{10} \quad x=\dfrac{9}{10}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}100x^2-81 & =(10^2)x^2-9^2\\ & = (10x)^2-9^2\end{aligned}[/tex]
[tex]\textsf{Difference of Two Squares Formula}: \quad a^2-b^2=\left(a+b\right)\left(a-b\right)[/tex]
[tex]\implies a=10x \: \textsf{ and } \: b=9[/tex]
[tex]\implies 100x^2-81=(10x+9)(10x-9)[/tex]
[tex]\begin{aligned}\textsf{To find the zeros}: \quad 100x^2-81 & = 0\\\\\implies (10x+9)(10x-9) & =0\\\implies 10x+9 & =0 \implies x=-\dfrac{9}{10}\\\implies 10x-9 & =0 \implies x=\dfrac{9}{10}\end{aligned}[/tex]
The radius of circle a is 5 cm. the radius if circle b is 5 cm greater than the radius of circle a. the radius of circle c is 3 cm greater than the radius of circle b. the radius of circle d is 1 cm less than the radius of circle c. what is the area of each circle? how many times greater than the area of circle a is the area of circle d? the area of circle a is ___ cm2.
Answers
Answer:
Theres a lot going on in this question but i tried my best to answer it all, correctly. Sorry if something is wrong or i misread the question. check explanation for answer.
Step-by-step explanation:
I'm not sure to use pi or 3.14 so i just did both.
Circle A's radius = 5cm
Circle B's radius = 10cm
Circle C's radius = 13cm
Circle D's = 12cm
(circle A)
π = 3.14
A = πr²
A = 3.14(5²)
A = 3.14(25)
A = 78.5cm²
π = π
A = πr²
A = π(5²)
A = π(25)
A = 78.54cm²
(circle B)
π = 3.14
A = πr²
A = 3.14(10²)
A = 3.14(100)
A = 314cm²
π = π
A = πr²
A = π(10²)
A = π(100)
A = 314.16cm²
(circle C)
π = 3.14
A = πr²
A = 3.14(13²)
A = 3.14(169)
A = 530.7cm²
π = π
A = π(13²)
A = π(169)
A = 530.9cm²
(circle D)
π = 3.14
A = πr²
A = 3.14(12²)
A = 3.14(144)
A = 452.2cm²
π = π
A = πr²
A = π(12²)
A = π(144)
A = 452.4cm²
452.2 / 78.5 =5.8
circle d is 5( almost 6) times greater than circle A
The longest game in baseball history lasted eight hours and 25 minutes between the Pawtucket Red Sox in the Rochester Red Wings convert this time to seconds
Answers
Answer:
30,300 seconds
Step-by-step explanation:
There are 60 minutes in each hour, and 60 seconds in each minute. The total time is found by multiplying by the appropriate conversion factor.
__
minutes in the hoursThe 8 hours each have 60 minutes, so the total number of minutes in 8 hours is ...
(8 h) × (60 min/h) = 480 min
seconds in the minutesThe total number of minutes is 25 more than the number of minutes in the hours:
480 min + 25 min = 505 min
These each have 60 seconds, so the total number of seconds is ...
(505 min) × (60 s/min) = 30300 s
The game lasted 30,300 seconds.
Work out the size of angle EDF, giving a reason for your answer
Answers
Answer:
∠ EDF = 23°
Step-by-step explanation:
angles on the circumference of a circle ( inscribed angles) subtended by the same arc are congruent.
∠ FGE and ∠ EDF are inscribed angles subtended by arc EF
then ∠ EDF = ∠ FGE = 23°
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The size of ∠EDF is 23°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As it is known that the angles made from the same chord in a circle are of equal measurement.
Since EF is the chord of the circle and the measure of ∠EGF is 23°, the measure of ∠EDF will be 23° as well.
Hence, the size of ∠EDF is 23°.
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Solve. x2+5x−10=0 Enter your answers, as exact values, in the boxes
.x = or x =
Answers
Answer:
x=1.531128874 or x=-6.531128874
Step-by-step explanation:
Samantha bought a purse for $72.25. It normally sells for $91.89. How much money did she save?
Answers
Answer:
19.64$
Step-by-step explanation:
91.89-72.25
Answer:
$19.64
Step-by-step explanation:
Which of the following has the same value as the expression?
(-3+5)+2
Answers
Answer:
Answer(s):
1x4
2+2
2x2
Step-by-step explanation:
Hope this helps!
A water tank has a radius 5 feet and height 11 feet. How much water can it hold?
Answers
Answer:
I think it is 275πcm^3 or 863.94cm^3
Step-by-step explanation:
please correct me if I'm wrong
Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two
options.
8 feet by 4 feet by 3 feet
17 feet by 6 feet by 4 feet
3 feet by 7 feet by 8 feet
3 feet by 6 feet by 7 feet
3 feet by 5 feet by 7 feet
Answers
Answer:
Option 3 and 4 are the most reasonable answers
Step-by-step explanation:
Write a problem that can be
solved using a line plot. Draw and label the
line plot and solve the problem.
Answers
Answer:
0/5 1/5 2/5 3/5 4/5 5/5 hope this helps
A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed? (Hint: 1 quart
gallon)
Answers
Answer:
4 quarts
Step-by-step explanation:
1 gallon is equal to 4 quarts
Can someone please help me
Answers
Answer:
1. a=3
2. a=3
3. a=9
Step-by-step explanation:
1. 9/a+9-4=12-56/8+3
We move all terms to the left:
9/a+9-4-(12-56/8+3)=0
Domain of the equation: a=0
a∈R
We add all the numbers together, and all the variables
9/a+9-4-8=0
We add all the numbers together, and all the variables
9/a-3=0
We multiply all the terms by the denominator
-3*a+9=0
We add all the numbers together, and all the variables
-3a+9=0
We move all terms containing a to the left, all other terms to the right
-3a=-9
a=-9/-3
a=+3
Andrew and Katherine rode their bikes and met at a park.
Andrew’s house was 8 miles from the park, Katherine’s house was 5 miles from
the park. They each left their house at the same time and Andrew arrived 10
minutes after Katherine arrived. Katherine’s average speed was 2 mph slower
than Andrew’s average speed. {hint: UNITS matter!}
a. Write an equation to represent this data.
b. What was Andrew’s average speed?
Answers
Answer:
10 min = 1/6 hour
Now we make Andrew's average speed v mph so Katherine's average speed is (v-2) mph
a. 8/v - 5/v-2 = 1/6 [distance = speed x time]
b. 8/v - 5/v-2 = 1/6 , v > 2
8/v - 5/v-2 = 1/6 = 0
48(v-2) -30v-v-(v-2)/6v(v-2) = 0 [transform the expression]
20v-96-v^2/6v(v-2) = 0
20v-96-v^2 = 0
(v-8)(v-12) = 0
{v1=8}
{v2=12}
Step-by-step explanation:
I need help!! Thanks
Answers
[tex]\text{Given that,}~ f(x) = 3x+5~ \text{and}~ g(x)=\sqrt{x^2 +3}\\\\(g \circ f)(-1)\\\\=g(f(-1))\\\\=g(3(-1) +5)\\\\=g(-3+5)\\\\=g(2)\\\\=\sqrt{2^2+3}\\\\=\sqrt{4+3}\\\\=\sqrt{7}[/tex]
Please help. I dont understand a thing. lol
Answers
Answer:
39 in²
Step-by-step explanation:
Area of triangle = 1/2 * b * h, where,
b = Base of Triangle
h = Height of triangle
Area of 4 triangles = 4 * 1/2 * 3 in * 5in
Area of 4 triangles = 2 * 3 in * 5 in
Area of 4 triangles = 30 in²
Area of square = a², where,
a = Each side of square.
Area of square = (3 in) ²
Area of square = 9 in²
Total surface area of pyramid = 30 inch² + 9 inch²
Total surface area of pyramid = 39 in²
Answer:
39 in^2 (Please mark me brainliest)
Step-by-step explanation:
3*3+3*2*5
=39
HELP!!! simplify the expression.
4√2 × 5√8
Answers
Two paper cones are mathematically similar. The capacity of the larger cone is 8 times the capacity of the smaller cone. The surface area of the smaller cone is 50 cm². Find the surface area of the larger cone.
Answers
Answer:
200 cm²
Step-by-step explanation:
The scale factor for areas of similar figures is the square of the scale factor relating their linear dimensions. For volumes of similar figures, the scale factor is the cube of the linear dimension scale factor. Together, these relations mean the area scale factor is the 2/3 power of the area scale factor.
__
The larger surface area is ...
(50 cm²) × 8^(2/3) = (50 cm²) ×4 = 200 cm²
_____
Additional comment
The linear dimension scale factor is the cube root, or 1/3 power, of the volume scale factor. The area scale factor is the square of that or the 1/3 power times 2, the 2/3 power.
sf = ∛(v2/v1) = (v2/v1)^(1/3)
a2/a1 = sf^2 = ((v2/v1)^(1/3))^2 = (v2/v1)^(2/3)
can any one tell me how to solve this ?? I) (-121) + ______ = 11 II). (-81) ÷ 27 = ______
(Integers)
Answers
Answer:
is this the answer
Step-by-step explanation:
I (-121)+...=11
=(-121)+132
=11
II -81/27
=-3
find arc JK
BRAINLIEST,POINTS,THANKS AND RATING GIVEN!!!
Answers
Answer:
164°
Step-by-step explanation:
By the property of intersecting chords, we have:[tex]m\angle JNK =\frac{1}{2}[m\widehat {JK}+m\widehat{LM}][/tex][tex]\implies 2*125\degree =(7x+31)\degree+86\degree[/tex][tex]\implies 250\degree =(7x+31)\degree+86\degree[/tex][tex]\implies 250\degree -86\degree=(7x+31)\degree[/tex][tex]\implies 164\degree=(7x+31)\degree[/tex][tex]\implies 164=7x+31[/tex][tex]\implies 164-31=7x[/tex][tex]\implies 133=7x[/tex][tex]\implies x = \frac{133}{7}[/tex][tex]\implies x = 19[/tex][tex]m\widehat{JK}=(7x+31)\degree [/tex][tex]\implies m\widehat{JK}=(7*19+31)\degree [/tex][tex]\implies \huge{\orange{m\widehat{JK}=164\degree}} [/tex]8.
A circular plate has a diameter of 11 inches. An ant walking along the edge makes 1.5 revolutions in 4
minutes. Approximately how many inches does the ant travel in one minute? Round your answer to the
nearest tenth of an inch.
Answers
Answer:
[tex]12.95 \: inches[/tex]
Step-by-step explanation:
We were told that the diameter of the circular plate is 11 inches. In order to find the distance the ants travel to make one revolution we have to first find the circumference of the circular plate. Circumference is:
[tex]2\pi \: r[/tex]
The radius would be half of the diameter (11). Therefore the radius is 5.5.
[tex]r = 5.5 \: \: \: \: \: \pi = 3.14 \\ cir = 2(3.14) \: (5.5) \\ cir = 6.28 \times 5.5 \\ cir = 34.54[/tex]
Since we found the circumference of the circular plate that means that we know how much one revolution made by the ants would be (34.54). Since the ant made 1.5 revolutions we have to multiply 34.54 by 1.5.
[tex]34.54 \times 1.5 = 51.81[/tex]
So we now know that the ant walked 51.81 inches in 4 minutes, now we have to find the distance he would walk in 1 minute.
Let x be the unknown value*
[tex] 51.81 \:inches = 4 \:minutes \\ x \:inches = 1 \: minutes\\ \\ 51.81=4x \\ \\\frac{51.81}{4} = x \\ \\ 12.95 = x[/tex]
if u want to u can answer question 16 and 17 but if u don’t just answer 16
Answers
Answer:
the answer to 16 is C i know cause i had the same thing and the answer for 17 is A.
Step-by-step explanation:
Hope thi helps
HELP I DONT GET THIS AND ITS DUE IN AN HOUR! PLEASE SHOW YOUR WORK IN PART B BECAUSE I DONT KNOW WHAT TO DO! I’LL GIVE BRAINLIEST AND 20 POINTS!!
Last year’s winner set a school record by completing 37 sit-ups. Amelia wants to know how many weeks she will need to train to beat this record.
Part A
Why is Amelia’s goal of breaking the school record best described by an inequality? Explain.
Part B
Write the inequality and graph the solution. How many weeks of training
will it take for Amelia to beat the record? Show your work.
Answers
An inequality is used to show two values that are different and to show that the two values are unequal.
What is an Inequality?This refers to the mathematical relation that is used to show the comparison between two numbers that are unequal.
We can note that because there is a previous record, for a person to beat the record, he would have to perform better than the record and be faster than the previous record holder.
Therefore, if a record of Amelia was given, this would be used to find the relation between her record and the current record of 37 sit-ups and how many weeks of training would be needed to break the record.
Hence, we can see that the question is incomplete so I gave you a general overview to help you get a better understanding.
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6. Which statement is justified by the
transitive property of equality?
F. (x+y)+ z = x + (y+z)
G. If 7x = 14, then 14 = 7x
H. If -3x = y, and y = 8z, then -3x = 8z
J. x(y-z) = xy - xz
Answers
Answer:
h
Step-by-step explanation:
what is the gfc of 8 and 24
Answers
use Demoiure's Theorem to find (-2-2√3i)³
Answers
Let z = -2 - 2√3 i.
Find the modulus of z :
|z| = √((-2)² + (-2√3)²) = √16 = 4
Find the argument of z (note that z lies in the third quadrant):
arg(z) = arctan(2√3/2) - π = arctan(√3) - π = -2π/3
Then in polar form, we have
[tex]z = -2 - 2\sqrt 3\, i = 4 \exp\left(-i\dfrac{2\pi}3\right)[/tex]
By DeMoivre's theorem, the cube of z is
[tex]z^3 = \left(4 \exp\left(-i\dfrac{2\pi}3\right)\right)^3 = 4^3 \exp(-i 2\pi) = \boxed{64}[/tex]
Question 6(Multiple Choice Worth 1 points)
(03.05 LC)
What is the volume of a sphere with a radius of 9 inches?
O 108TT
O 242TT
O 642TT
O 972TT
Answers
Answer:
972TT
Step-by-step explanation:
formula for volume of a sphere is
4/3TTr3
input the radius r as 9
4/3TT9 3
4/3TT729
4TT243
972TT