Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16
Answer:
The pentagon shape = 8
The star shape = 6
The curl shape = 3
The wave pattern shape = 5
Step-by-step explanation:
Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z
Horizontally, we have;
w + 2·x + y = 23.....(1)
2·y + 2·z = 16...........(2)
2·z + w + x = 24.. ..(3)
3·y + x = 15..............(4)
Vertically, we have;
2·x + z + y = 20.......(5)
2·y + w+ z = 19........(6)
From the above equations, we have;
From equation (4), we have x = 15 - 3·y
From equation (2), we have z = 8 - y
From equation (1), we have w = 23 - (2·(15 - 3·y) + y)
∴ w = 23 - 30 + 6·y - y = 5·y - 7
w = 5·y - 7
Substituting the above values for x, and z i equation (5) gives;
2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20
30 - 6·y + 8 - y + y = 20
6·y = 30 + 8 - 20 = 18
y = 18/6 = 3
y = 3
w = 5·y - 7 = 5×3 - 7 = 8
w = 8
z = 8 - y = 8 - 3 = 5
z = 5
x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6
x = 6
Therefore, we have;
w = The pentagon shape =8
x = The star shape =6
y = The curl shape = 3, and
z = The wave pattern shape =5
The number of each of the four given shapes filled in the rows and columns are;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
From the diagram, we see four shapes and so let us identify them with letters;
Inscribed pentagon shape = a
Star shape = b
Spiral shape = c
Waves inside rectangle shape = d
For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;
a + 2b + c = 23 .....(eq 1)
For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;
2c + 2d = 16 ......( eq 2)
For the third row, we see 1 star, one inscribed pentagon and 2 Waves inside rectangle shape. Thus;
a + b + 2d = 24 ....(eq 3)
For the fourth row, we see 3 spiral shapes and one star shape. Thus;
b + 3c = 15 ....(eq 4)
Looking at the columns, we see that;
First column;
2c + a + d = 19 ....(eq 5)
Second column, we have;
2b + c + d = 20 .....(eq 6)
From eq 4; b = 15 - 3c
From eq 2, we have; d = 8 - c
Putting them in eq 1 gives;
a + 2(15 - 3c) + c = 23
a + 30 - 6c + c = 23
a = 5c - 7
Putting d = 8 - c and a = 5c - 7 into eq 5 gives;
2c + 5c - 7 + 8 - c = 19
6c + 1 = 19
6c = 18
c = 3
Put 3 for c in a = 5c - 7
a = 5(3) - 7
a = 8
Put 3 for c in b = 15 - 3c
b = 15 - 3(3)
b = 6
Put 3 for c in d = 8 - c
d = 8 - 3
d = 5
Thus, we have;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
Read more at; https://brainly.com/question/18452224
Explain why when you reflect a point across the line y=x, the x−coordinate and the y−coordinate change places, and when you reflect a point across the line y = −x, the x−coordinate and the y−coordinate change places and their signs are changed.
Answer:
The (x,y) is like a mirror reflecting across the plane. When it moves it goes opposite (y,x). We move over the y axis and we get a negitive because of the negative cordinate plane.
Step-by-step explanation:
which is the graph of the exponential function y=8(5)^x?
Answer:
y=8(5)^(x)
Step-by-step explanation:
In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this number?
O 3 x 10^8
O 4 x 10^7
O 4 x 10^8
O 4x 10^9
Given:
The population of continent of South America in 2010 is 395, 280, 204.
To find:
The closest estimate of this number.
Solution:
We have,
[tex]Population = 395, 280, 204[/tex]
The approximate value of this number is
[tex]Population \approx 400, 000, 000[/tex]
The scientific form of this value is
[tex]Population = 4\times 10^8[/tex]
Therefore, the correct option is C.
HEY CAN ANYONE PLS ANSWER DIS!!!!!!!!
Answer: 1,045,440,000
Explanation:
1 mile = 5280 feet
55 x 5280 = 290400
290400 x 60 = 17424000
17424000 x 60 = 1045440000
3 words. Get. A. Caluculator.
Lol I hope this helps!
Answer:
80.67 ft/secStep-by-step explanation:
Mile to feet
1 mi = 5280 feetHour to seconds
1 hr = 60 min = 60*60 sec =3600 secSpeed of the car
55 mi/hr = 55*5280 ft / 3600 sec = 80.67 ft/sec rounded to two decimal placesWho know this for my other math these plz
Answer:
7. c
8. d
9. c
10. c
11. b
12. d
13. c
Answer:
7. C: 80
8. D: 100
9. C: 80
Step-by-step explanation:
each line equals 180
where H is at, has a 100 above it.
that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.
you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff
If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°
in health class the students were asked what grains they preferredin the breakfeast cereal. What is the probibility that a random chosen student in the health class is listed out as their favorite grain?
Answers:
A: 20%
B: 35%
C: 14%
D: 30%
Stephanie delivers papers for 2 different paper routes. On one route, she delivers 176 papers. On the second route, she delivers 43 papers. About how many papers does she deliver total? Choose the best estimate. 200 papers 210 papers 220 papers 230 papers
Answer:
Step-by-step explanation:
220 is the answer
176 + 43 = 219
219 is almost 220
Cantrise surveyed 100 students about their favorite
type of music. After she makes the graph, she receives
two more votes for rap. What is the new ratio of rap to
total types of music?
Answer: 2:100
Step-by-step explanation:
i suck at math and i really need help asap!
Answer:
2
Step-by-step explanation:
2^{4-3}
=2
19. Find the perimeter of a triangle if the side lengths are 3 1/2 ft, 5 2/3 ft,
and 4 1/6 ft.
Answer: 13 1/3
Step 1: Find the LCD
Step 2: Add the fractions
Step 3: Simplify
m-18=n
This makes no sense this is my 3rd time asking this question
Answer:
m=18+n
Step-by-step explanation:
m + -18 = n simplify
-18 + m = n record the terms
-18 + 18 + m = 18 + n solve
Combine like terms: -18 + 18 = 0, 0 + m = 18 + n, m = 18 + n
Final answer: m = 18 + n
Answer:
IDK but here's what I have found.....
Step-by-step explanation:
Simplifying
m + -18 = n
Reorder the terms:
-18 + m = n
Solving
-18 + m = n
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + m = 18 + n
Combine like terms: -18 + 18 = 0
0 + m = 18 + n
m = 18 + n
Simplifying
m = 18 + n
55 = 18 +0.004x
What is x
Answer:
Your answer is: x = 9250
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Plz answer I need help my teacher doesn't explain things good
Find the slope of the line passing through the points (2, 2) and (2,-4).
Answer:
The slope is (DNE), undefined.
Step-by-step explanation:
Which value of b would make x²+bx−20 factorable?
Answer:
x^2-bx-20
Step-by-step explanation:
"19" will be the value which make the equation "[tex]x^2+bx-20[/tex]" factorable.
The given equation is
→ [tex]x^2+bx-20[/tex]
By putting "19" in the above equation, we can solve the equation.
→ [tex]x^2+19x-20[/tex]
By applying factorization, we get
→ [tex]x^2+20x-x-20[/tex]
By taking common, we get
→ [tex]x(x+20)-1(x+20)[/tex]
→ [tex](x+20)(x-1)[/tex]
Thus the above answer is correct.
Learn more about factorization here:
https://brainly.com/question/16853183
urgent! please help!
Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
What is T?
3/8=t-1/8
Answer:
t = 0.5
Step-by-step explanation:
sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open
Find the distance between the points.
(0,6) and (0,2)
Answer:
4
Step-by-step explanation:
Because the formula of distance I'd root under x2 - x1 and y2-y1 and the answer Is 4 units
Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.
Answer:
y = 1.37
Step-by-step explanation:
30y = 41.10
divide both sides of the equation by 30
30y/30 = 41.10/30
y = 41.10/30
y = 1.37
what is the slope of the line -3 -1/3
Answer:
negative slope
Step-by-step explanation:
given M is the midpoint of RS . RM=x+3 and MS=2x-1 . x=? and RM= ?
Answers:
x = 4
RM = 7
======================================================
Explanation:
The midpoint cuts the larger segment RS in two equal halves, so RM = MS
RM = MS
x+3 = 2x-1
3+1 = 2x-x
4 = x
x = 4
RM = x+3
RM = 4+3
RM = 7
MS = 2x-1
MS = 2*4-1
MS = 7
Both RM and MS are 7 units long, which confirms our answers.
RS = RM+MS
RS = 7+7
RS = 14
f(x) = -7x + 1, find f(0).
Answer:
Step-by-step explanation:
f(0)= -7(0)+1= 0 + 1 = 1
The Smith family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of the mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden with mulch?
Answer: 27.5
Step-by-step explanation:
Answer:
it will cost $475
someone help me and explain this is really confusing me plzz I'll brainlist u !:)
Answer:
Ok so 25$ for an adult. there are x adults so x times 25 is equals to $25x
13 dollars per child and y children so $13y
$20 for each pensioner and p pensioners so $20p
when adding these notice that none of the variable(latters) are the same so n adding will take place leaving the answer
$25x + $13y + $20p
a) $25x
b) $13y
c) $20p
d) $25x + $13y + $20p
Answer:
a) $25x, this is because if there are x number of adults coming, and $25 is the per adult charge, then irrespective of the number of adults coming this will be the equation. Eg : x = 5 So, $25 * 5 = $125
b) $13y, this is because if there are y number of children coming, and $13 is the per child charge, then irrespective of the number of children coming this will be the equation. Eg : y = 4 So, $13 * 4 = $52
c) $20p , this is because if there are x number of pensioners coming, and $20 is the per pensioner charge, then irrespective of the number of pensioner coming this will be the equation. Eg : p = 2 So, $20 * 2 = $40
d) so, the total will be, = $25x + $13y + $20p
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Write the equation of a line that passes through (0, -6) and (11, 1).
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
1.) Solve for c:
4c + 5 > -c-5
Answer:
Step-by-step explanation:
In 2005, the UT Longhorns scored 15 times to win the Big 12 Championship Game 70-3. All of their points came from touchdowns (6 points each) and extra point kicks (1 point each). How many touchdowns and extra points did the Longhorns have in that game? (For the purposes of this problem, touchdowns and extra point kicks count as separate "scores".
Answer:
The number of touch downs = 11
The number of extra points = 4
Step-by-step explanation:
The number of times UT Longhorns scored = 15 times
The composition of the scores = Touch down and point kicks
The points with which UT Longhorns won the game = 70-3
The points that came from each touch down = 6 points
The points that came from each point kick = 1 points
We have;
The number of touch downs + Point kicks = 15
The number of touch downs = 15 - Point kicks
Let the number of point kicks = P
Therefore;
The number of touch downs = 15 - Point kicks = 15 - P
The number of touch downs = 15 - P
Given that the total points of UT Longhorns = 70, we have;
6 × (15 - P) + 1 × P = 70
90 - 6·P + P = 70
5·P = 90 - 70 = 20
P = 4
∴ The number of point kicks = P = 4
The number of point kicks, extra points = 4
The number of touch downs = 15 - P = 15 - 4 = 11
The number of touch downs = 11
Please show all work
Answer:
w = 19/15 or 1 4/15
Step-by-step explanation:
11/15 = w-(8/15) // - w-(8/15)
11/15-w+8/15 = 0
19/15-w = 0 // - 19/15
-w = -19/15 // * -1
w = 19/15
w = 19/15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]
[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex][tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]
[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]