Answer:
see explanation
Step-by-step explanation:
Euler's formula for polyhedra is
V- E + F = 2
where V is number of vertices, E number of edges and F number of faces
Some number added to 17
What is the value of x, when -25(x - 4) = -55(x - 10)?
Answer:
-25(x - 4) = -55(x - 10)
-25x+100= -55x+550
-25x+55x=550-100
30x=450
x=15
Answer:
x= 15
Step-by-step explanation:
Step 1- Distribute into the parenthesis
-25x-(-25)4= -55x-(-55)10
Step 2- Multiply to simplify
-25x+100= -55x+550
Step 3- Add -55x to both sides
-25x+100= -55x+550
+55x +55x
Step 4- Subtract 100 to both sides
30x+100= 550
-100 -100
Step 5- Divide both sides by 30
30x= 450
30 30
x= 15
You are buying tickets to a Star Wars Convention. The tickets cost $10 per adult and $3 per child. Parking is a one-time fee of $5. If you
purchased two adult tickets, a, and the total cost was $109, how many child tickets, c, were purchased?
Answer:
28 children tickets
Step-by-step explanation:
$109 for the whole cost
bought 2 adult tickets that costed 10$ each and payed 5$ for parking fee
add them together 25$
109-25 =84
84/3 =28
1 A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2
B. f(x) = 3
C. f(x) = 2x
D f(x) = 3x
x is less than nine
Answer:
x < 9
Step-by-step explanation:
x is less than nine
x < 9
Answer:
x<9
Step-by-step explanation:
less than symbol is this <
The question is x is less than 9
so
x<9
Hope this helps!
from the product of 30 and 70 take the sum of the two numbers
Huh? Is yo question finished
Can someone Identify the terms and coefficients;
8x-20y-10
Answer:
cooeficients are + 8,20 and 10
terms are x and y
what are three ratios equivalent to 8:5
Answer:
80:50 800:500 16:10
Step-by-step explanation:
CE is an angle bisector of angle ACB.
If m angle ACE = 2x - 15 and m angle ECB = x +5,
determine the value of x.
Answer:
x = 20
Step-by-step explanation:
[tex] \because \overrightarrow {CE}[/tex] is an angle bisector of[tex] \angle ACB. [/tex]
[tex]\therefore m \angle ACE = m \angle ECB\\ 2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ \huge \orange{ x = 20}[/tex]
The value of x from the angle bisector is: x = 20
How to find the value of the angle bisector?Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.
Thus, we can say that:
∠ECB = ∠ACE
Thus:
x + 5 = 2x - 15
2x - x = 15 + 5
x = 20
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The sum of three numbers is 82 The second number is 3 times the third. The third number is 8 more than the first. What are the numbers?
Answer:
22 46 15
Step-by-step explanation:
i looked it up because i was even confused. but i think this is right. hope this helps.
my
Donald can type 240 words in 6 minutes. How long will it
take him to type a 1000-word essay if he types at the
same rate?
Answer:
25min
Step-by-step explanation:
40 is the unit rate so 40 words per minute so it's 25 because 1000÷(40)*
(the unit rate)*. Sorry if I'm worng.
How many ten thousands =400 hundreds
Answer:
4.
Step-by-step explanation:
Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.
Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?
Answer:
983040
Step-by-step explanation:
Second Year : 15x4=60
Third Year : 60x4=240
Fourth Year : 240x4=960
Fifth Year : 960x4=3840
Sixth Year : 3840x4=15360
Seventh Year : 15360x4 = 61440
Eighth Year: 61440x4=245760
Ninth Year : 245760x4= 983040
uhhhhhhhhhhhhhhhhhh help
Answer:
x = -1/3
Step-by-step explanation:
x -1/3 = -2/3
Add 1/3 to each side
x -1/3 + 1/3= -2/3+ 1/3
x = -1/3
Write the recurssive formula. Clarissa is buying a homecoming dress onlayaway. The dress costs $185. She makes a down payment of $20 to put the dress on layaway and then makes weekly payments of $15. In how many weeks will the dress be paid off?
Answer: x = 11
Step-by-step explanation:
185= 15x +20
minus 20 from both side
165 = 15x
divide 15 by both side
11 = x
Simplify i12. 1 −1 −i i
Answer:
The answer for the first one is 1 and the second answer is 12i.
Step-by-step explanation:
The value of the given imaginary number i¹² will be 1 thus option (A) is correct.
What is a complex number?A complex number is the sum of a real number and an imaginary number.
The idea of a complex number has come by solving a quadratic equation that has root as negative under root.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
The value of iota(i) is given as i = √(-1).
By the law of indices,
i¹² = (i²)⁶
⇒ (-1)⁶
Since the even exponents of a negative number give positive output thus (-1)⁶ = 1.
Thus, i¹² = 1
Hence "The value of the given imaginary number i¹² will be 1".
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Each gallon of gasoline costs $2.35. The equation y=2.35x can be used to represent this situation.
Answer:
Yes
Step-by-step explanation:
If y is the total cost, then this would be correct.
A rocket leaves the surface of Earth at time t=0 and travels straight up from the surface. The height, in feet, of the rocket above the surface of Earth is given by y(t), where t is measured in seconds for 0≤t≤600. Values of y(t) for selected values of t are given in the table above. Of the following values of t, at which value would the speed of the rocket most likely be greatest based on the data in the table?
(1) t=100
(2) t=200
(3)t=300
(4) t=400
Answer:
Remember that:
Speed = distance/time.
Then we can calculate the average speed in any segment,
Let's make a model where the average speed at t = t0 can be calculated as:
AS(t0) = (y(b) - y(a))/(b - a)
Where b is the next value of t0, and a is the previous value of t0. This is because t0 is the middle point in this segment.
Then:
if t0 = 100s
AS(100s) = (400ft - 0ft)/(200s - 0s) = 2ft/s
if t0 = 200s
AS(200s) = (1360ft - 50ft)/(300s - 100s) = 6.55 ft/s
if t0 = 300s
AS(300s) = (3200ft - 400ft)/(400s - 200s) = 14ft/s
if t0 = 400s
AS(400s) = (6250s - 1360s)/(500s - 300s) = 24.45 ft/s
So for the given options, t = 400s is the one where the velocity seems to be the biggest.
And this has a lot of sense, because while the distance between the values of time is constant (is always 100 seconds) we can see that the difference between consecutive values of y(t) is increasing.
Then we can conclude that the rocket is accelerating upwards, then as larger is the value of t, bigger will be the average velocity at that point.
Speed is simply the rate of change of distance over time.
The greatest speed is at [tex]t = 400[/tex]
To calculate the time of the greatest speed, we simply calculate the slope between each interval.
The slope (m) of a line is:
[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]
When [tex]t = 100[/tex]
[tex](t_1,y_1) = (0,0)[/tex]
[tex](t_2,y_2) = (200,400)[/tex]
So, we have:
[tex]m = \frac{400-0}{200 -0}[/tex]
[tex]m= \frac{400}{200}[/tex]
[tex]m = 2[/tex]
When [tex]t = 200[/tex]
[tex](t_1,y_1) = (100,50)[/tex]
[tex](t_2,y_2) = (300,1360)[/tex]
So, we have:
[tex]m = \frac{1360-50}{300 -100}[/tex]
[tex]m = \frac{1310}{200}[/tex]
[tex]m = 6.55[/tex]
When [tex]t = 300[/tex]
[tex](t_1,y_1) = (200,400)[/tex]
[tex](t_2,y_2) = (400,3200)[/tex]
So, we have:
[tex]m = \frac{3200-400}{400 -200}[/tex]
[tex]m = \frac{2800}{200}[/tex]
[tex]m = 14[/tex]
When [tex]t = 400[/tex]
[tex](t_1,y_1) = (300,1360)[/tex]
[tex](t_2,y_2) = (500,6250)[/tex]
So, we have:
[tex]m = \frac{6250-1360}{500-300}[/tex]
[tex]m = \frac{4890}{200}[/tex]
[tex]m = 24.45[/tex]
From the above computation, the greatest speed (i.e. slope) is
[tex]m = 24.45[/tex]
The corresponding time at [tex]m = 24.45[/tex] is [tex]t = 400[/tex]
Hence, the greatest speed is at [tex]t = 400[/tex]
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When rounding to the nearest ten, what is is the least whole number that roundd to 840
Answer:
835
5 and up is rounded higher.
Help with this pls ?
Answer:
x = 5
x = 11/2
x = -5/2
x = 3
x = 5/2
Step-by-step explanation:
Find the daily rate if the annual interest rate is 12%.
.
a. 0.0003287671
• b. 0.03287671
.
C. 0.23076923
.
d. 0.00230769
Answer:
B.) 0.03288%
Step-by-step explanation:
I hope this helps you :)
Answer:
Periodic Interest Rate (P)
(rate per compounding period)
0.03288%
Answer is B
Step-by-step explanation:
What fraction is equivalent to 2 31/32
Answer:
95/32
Step-by-step explanation:
You can multiply 32 by two, 64, then add 31, 95
Answer:
95/32
Step-by-step explanation:
yea i checked and it is 95/32
solve for x: 7^(3x+7)=7^(-8x-4)
Answer:
x = -1
Step-by-step explanation:
7^(3x+7) = 7^(-8x-4)
First Step: Cancel out like bases.
3x + 7 = -8x - 4
Second Step: Add 8x on both sides.
11x + 7 = -4
Third Step: Subtract 7 on both sides.
11x = -11
Fourth Step: Divide by 11 on both sides.
x = -1
Which expression is equivalent to 25 x 1/5?
Answer:
The answer would be E.
When you solve 25 x 1/5, you get 5.
When you solve 25 ÷ 5, you get 5.
The equivalent expression is 25 ÷ 5.
Option E is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example.
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
25 x 1/5
= 25 x 1/5
= 5 x 5 x 1/5
= 5
Now,
1/25 x 5
= 1/5
1/25 x 1/5
= 1/125
1/25 ÷ 1/5
= 1/25 x 5
= 1/5
5 ÷ 25
= 5/25
= 1/5
25 ÷ 5
= 5
We see that,
25 x 1/5 and 25 ÷ 5 have the same value.
Thus,
The equivalent expression is 25 ÷ 5.
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Solve for x.
3(-4x-1)-2x+4=43
Please help I’m crying my eyes out I hate delta math
Answer:
x = - 3Step-by-step explanation:
3 (-4 x - 1) - 2 x + 4 = 43
Expand the terms in the bracket
That's
- 12x - 3 - 2x + 4 = 43
- 14x + 1 = 43
Using the subtraction property subtract 1 from each side of the equation
- 14x + 1 - 1 = 43 - 1
- 14x = 42
Divide both sides by - 14
[tex] \frac{ - 14x}{ - 14} = - \frac{42}{14} [/tex]
We have the final answer as
x = - 3Hope this helps you
A woman has a total of $ 12 , 000 to invest. She invests part of the money in an account that pays 7 % per year and the rest in an account that pays 9 % per year. If the interest earned in the first year is $ 920 , how much did she invest in each account?
4.0 divided by 0.02=
Answer:
Step-by-step explanation:
vhbhbububjbvuvhjuvvbihjbuvi
Answer:
thanks
Step-by-step explanation:
:) hahahahahah
-√121 + 5 please help fast
Answer:
-6
Step-by-step explanation:
The Atlas V Rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?
Answer:
10 miles per second
Step-by-step explanation:
if 1/10 seconds is equal to one mile, then 10/10 (1) second would be equal to 10 miles (per second).
The speed of Atlas V Rocket was 10 mile per second.
Here,
The distance travel by Atlas V Rocket was = 1 mile
Time taken = 1/10 second
We have to find the speed of Atlas V Rocket.
What is Speed?
Speed of an object is calculated as;
Speed = Distance/Time
Now,
The distance travel by Atlas V Rocket = 1 mile
Time taken = 1/10 second
Hence, The speed of Atlas V Rocket = [tex]\frac{1}{\frac{1}{10} }[/tex] = [tex]10[/tex]
Therefore, The speed of Atlas V Rocket was 10 mile per second.
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