3.468*10^6
Step-by-step explanation:
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
Given the equation 5x – 2y = 22 and a solution (3a, 4). Find a.
Answer:
a = 2
Step-by-step explanation:
5(3a) - 2(4) = 22
15a - 8 = 22
15a = 30
a = 2
In parallelogram ABCD, what is the measure of z°?
115
60
65
180
Answer:
115
Step-by-step explanation:
angle A + angle D= 180 degrees
65+z=180
subtract 65 from both sides
z=115
Answer:
115
Step-by-step explanation:
a. 3.04 + 0.98
Help pleaseee for my little sister
Answer:
4.02
Step-by-step explanation:
1
3 . 0 4
0 . 9 8
4 . 0 2
Figure 1 was
with a scale factor of
with the center at the origin
It was then
6 units
and 5 units
to produce
Figure 2.
Figures 1 and 2 are
because Figure 1 was
Huh? what do you mean
please help i don’t know how to find the slope
Squandering Sam has $1,050 in his bank account. Every week he withdraws $40 to buy scratch off tickets. Saving Sally doesn’t have any money now, but is depositing every penny of the $35 a week she makes into a bank account. How many weeks will it take for Sam and Sally to have the same amount of money in their accounts?
Answer:
15 weeks
Step-by-step explanation:
Week 1: 1,050 ≠ 0
Week 2: 1,010 ≠ 35
Week 3: 970 ≠ 70
Week 4: 930 ≠ 105
Week 5: 890 ≠ 140
Week 6: 850 ≠ 175
Week 7: 810 ≠ 210
Week 8: 770 ≠ 245
Week 9: 730 ≠ 280
Week 10: 690 ≠ 315
Week 11: 650 ≠ 350
Week 12: 610 ≠ 385
Week 13: 570 ≠ 420
Week 14: 530 ≠ 455
Week 15: 490 = 490
f(x) = -7x + 1, find f(0).
Answer:
Step-by-step explanation:
f(0)= -7(0)+1= 0 + 1 = 1
write a word problem that could be solved using the expression 2x+60
Answer:
Step-by-step explanation:
james want to buy a sirt that cost 95 dollars. he only has 60 dollars saved.
if james gets paid 2 dollars a day how many days would he have to work to get 80 dollars.
solve for x
y=2x+60
95=2x+60
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 placesi suck at math and i really need help asap!
Answer:
2
Step-by-step explanation:
2^{4-3}
=2
The ratio of men to women working for a company is 3 to 2 . If there are 58 women working for the company, what is the total number of employees?
Answer:
145
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:
Is - 7/8 or - 1/15 larger
Answer:
-1/15 because it is closer to zero on the negative half of a number line.
Answer:-1/15
Step-by-step explanation:When it comes to negatives sign the smaller number with the negative sign is always the greater number
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 ;)
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:
Jason solves a math problem on the board using the Power of Products Property. Is his answer correct? Explain.
63 • 73 = 423
A.
Yes; 63 • 73 is equal to (6 • 7)3 or 423.
B.
Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
C.
No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
D.
No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
Answer:A
Step-by-step explanation:
Answer the questions using the drop-down menus.
At what type of boundary do strike-strip basins form?
At what type of boundary do wedge basins form?
At what type of boundary do rift basins form?
At what type of boundary do arc basins form?
Answer:
At what type of boundary do strike-strip basins form? transform
At what type of boundary do wedge basins form? convergent
At what type of boundary do rift basins form? divergent
At what type of boundary do arc basins form? convergent
Step-by-step explanation:
Hope this helps!
Answer:
Answer the questions using the drop-down menus.
✔ transform
At what type of boundary do wedge basins form?
✔ convergent
At what type of boundary do rift basins form?
✔ divergent
At what type of boundary do arc basins form?
✔ convergent
Step-by-step explanation:
Which statement best models the equation 10+(−10)=0 ?
Identify the range of the function shown in the graph.
Answer:
There is no graph shown
Step-by-step explanation:
Answer:
no graph shown.
Step-by-step explanation:
None.
“X000” means what? Please explain
Answer:
If your talking about texting ,then this means hugs and kisses
Step-by-step explanation:
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
Factorise x^2-10
I need help
Answer:
This expression is not factorable with rational numbers.
-1 2/7 + 4 i really need to answer this.
Answer:
5 29/100
Step-by-step explanation:
google helps
Answer:
n = 5/4
Step-by-step explanation:
Who 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
I need 15. please its my last question and fast
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
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
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%