Answer:
x = 15
y = 19
Step-by-step explanation:
(5x-5) = (4x+10) reason[ being corresponding angle]
or, 5x-4x = 10+5
or, x = 15.
Similarly,
(5x-5)+(6y-4) = 180 reason[being supplementary angle]
putting the value of x in the equation, so
or, (5*15 -5)+(6y-4) = 180
or, 75-5+6y-4 = 180
or, 66+6y = 180
or, y = 30-11
or, y = 19.
A parachutist's rate during a free fall reaches 225 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall?
Answer:
62.5 m/s937.5 mStep-by-step explanation:
1 km/h = (1000 m)/(3600 s) = 1/3.6 m/s
Then
225 km/h = 225(1/3.6) m/s = 62.5 m/s
In 15 seconds, that's ...
(15 s)(62.5 m/s) = 937.5 m
Answer:
62.5
and
937.5
Step-by-step explanation:
Which type of government BEST describes the type of government found in
Mesopotamia?
A- Small Kingdoms
B- Independent City-states
C- Large Empires
D- Populated Towns
Please help quick!!
It takes 0.45 kg of clay to make one figurine. How many figurines can be made from 12.75 kg of clay?
Answer:
28
Step-by-step explanation:
12.75/0.45=28.33
Answer:
28
Step-by-step explanation:
can someone help me please
Answer:
2,5,8,11,14,17,20
Description: Each time there was an addition of 3 onto each 'y'.
Step-by-step explanation:
+3 to the last one each time
2+3=5
5+3=8 etc
Emma is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $2.50 per mile driven. If Emma were to drive 2 miles, the total cost would be $25. Write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Emma were to drive mm miles.
PLEASE HELP MEEEEEE!!!!
The total cost equation of renting the truck if Emma were to drive mm miles will be
C=2.5m+20
What is equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations.Let,
C=total cost
m=number of miles
the cost function is in the form of
C=am+b
the rental company charges a fee of $2.5 per mile so a=2.5
C=2.5m+b.....................(1)
if Emma were to drive m=2 miles, the total cost would be C=25
25=2.5\c*2+b
25=5+b
25-5=b
20=b
b=20..................put it back in equation 1
C=2.5m+b
Therefore, The total cost equation of renting the truck if Emma were to drive mm miles will be C=2.5m+20
To learn more about equation, refer to
https://brainly.com/question/26310043
#SPJ2
Answer:
C=2.5+20
Step-by-step explanation:
got right on delta
Please everybody! Can you guys help me? This is super urgent!
Rae pays $48 for a 12-month magazine subscription. How much does Addison pay per month? Thank you!
Answer:
$4
Step-by-step explanation:
Divide $48 by 12
(Because there are 12 months in a year)
Your answer is $4
$48 divided along 12 months = $4
Hope I helped :)
Please consider Brainliest :)
Answer:
$4
To find the amount Rae pays each month, we have to divide 48 by 12 (because there are 12 months in a year.)
48 ÷ 12 = 4.
Answer = $4.
Hope this helps!
What is the answer for number 11
Answer: C
Step-by-step explanation: First you have to do y-y÷x-x. So first you do 2-3 which gives you -1. Then you do 6-4 which gives you 2. Then you divide -1÷2 which gives you -0.5x. Now you know it's either C or D because it's negative. For the y-intercept, you have to plug in one of the ordered pairs to y and x using the slope-intercept form.
in 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?
Answer:
[tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.
Step-by-step explanation:
In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that [tex]n = 154N38[/tex], then its sum of digits is:
[tex]x = 1 + 5+4+N+3+8[/tex]
[tex]x = 21+N[/tex] (Eq. 1)
We have to determine which digits corresponds to multiples of three, there are four digits:
N = 0
[tex]x = 21+0[/tex]
[tex]x = 21[/tex] ([tex]3\times 7 = 21[/tex])
N = 3
[tex]x = 21+3[/tex]
[tex]x = 24[/tex] ([tex]3\times 8 = 24[/tex])
N = 6
[tex]x = 21+6[/tex]
[tex]x = 27[/tex] ([tex]3\times 9 = 27[/tex])
N = 9
[tex]x = 21+9[/tex]
[tex]x = 30[/tex] ([tex]3\times 10 = 30[/tex])
We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:
[tex]154038 = 2\times 3\times 25673[/tex]
[tex]154338 =2\times 3\times 29 \times 887[/tex]
[tex]154638 = 2\times 3\times 3\times 11\times 11\times 71[/tex]
[tex]154938 = 2\times 3\times 7\times 7\times 17\times 31[/tex]
It is quite evident that [tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.
5. A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 4 hours?
Solve: 2/3x-4=-2
a. -3
b.-4
c.-9
d.3
Answer:
d. 3
Step-by-step explanation:
Add 4, then multiply by 3/2.
2/3x -4 +4 = -2 +4
2/3x = 2
(3/2)(2/3)x = (3/2)(2)
x = 3
audrianna gives a walking tour of a popular tourist city to one person for To increase her business, she would lower the price by $2 per person for each additional person. Write the cost per person c as a function of the number of people n on the tour. How much does she make for a tour with people?
Circle C and Circle D are congruent.
O True
O False
True or false?!
What is the domain of the graph please hurry it’s urgent Thank you
Answer: the answer is (2,5)
Step-by-step explanation:
Translate this sentence into an equation.
The difference of Craig's age and 15 is 53
Use the variable c to represent Craig's age.
ILL GIVE YOU EXTRA POINTS AND BRAINLIEST
Terry works at a garden store and is in Charge of ordering fertilizer for the plants in the store his boss told him to order a 30 day supply fertilizer if the story goes through about 5 kg of fertilizer every 10 days how many 50 g bags of fertilizer will Terry need to buy convert that amount to grams and calculate how many groups of 50 g you can make with that amount
Answer:
Step-by-step explanation:
turfgrass fertilizers contain one or more plant nutrients; the most common of these are nitrogen, phosphorus (designated on labels as available phosphate, or P2O5), and potassium (designated as water-soluble potash, or K2O)
Write the equation of the line that contains the points (5,7) and (5, -12):
Step-by-step explanation:
Well you first have to find the slope, which is y2-y1/x2-x1
Which is -12-7/5-5 and that equals to undefined.
So since you can't find the slope the answer should be undefined.
Hope this helps <3
a withdrawal of $225
Answer:
ok bro
Step-by-step explanation:
the set below only contains which types of numbers {-1,5,1/2,15,3.75,36,square root 81,100 are they irrational numbers rational integers or natural numbers
The set can be classified as both rational integers and irrational numbers,
Meaning of rational and irrational numbers
Rational numbers are numbers that can be expressed as a division of two integers. They are definite, they include all integers.
Irrational numbers are numbers that are no definite, they have no end.
In the question every other number is a rational number except for square root 81,100 which is an irrational number.
In conclusion, The set can be classified as both rational integers and irrational numbers.
Learn more about Rational numbers: https://brainly.com/question/1949413
#SPJ2
When Brandon went bowling, it cost $4.95 per game, plus a one time fee to rent the shoes. Brandon played 5 games and paid $32. Write and solve a linear equation to find the cost to rent the shoes. (Hint Think about if you want to know the cost of the shoes, what does this mean for numbers of games?)
Answer:
(4.95x5)+X=32 x=7.25(one time fee)
Step-by-step explanation:
You have to find out what is already known.
Can someone pls help me?!?
Answer:
Step-by-step explanation:
If the sum of the two given angles is 5 + 10 = 15 then the third side cannot be larger than 15. If it is, the two given angles will fall flat on the third angle.
If the third angle is less than 5 then the sum will be less than 10 and the same thing will happen as described above.
So the correct answer is B
which is parallel to y=8x + 4
a. 4x + 8
b. y=12x
c. y=8x-4
Answer:
C
Step-by-step explanation:
c is parallel because the slopes are identical
Find the distance between the two points rounding to the nearest tenth (if necessary),
(5,-4) and (0,8)
Answer:
13
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
The distance formula between two points is:
[tex]c = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Our points are as follows -
[tex]x_2 = 0, x_1 = 5\\y_2 = 8, y_1 = -4[/tex]
If we plug them in:
[tex]c = \sqrt{(0 - 5)^2 + (8 - (-4))^2}[/tex]
All we need to do now is simplify
[tex]c = \sqrt{(-5)^2 + (12)^2}[/tex]
[tex]c = \sqrt{25 + 144}[/tex]
[tex]c = \sqrt{169} = 13[/tex]
Dos numeros que al sumar den -8 y al multiplicar den -12
Answer:
english please
Step-by-step explanation:
what's the answer? pls help
Answer:
The slope of the line is 1.
Step-by-step explanation:
To solve this problem, we should use the equation for slope, which is given below:
slope = m = (y2-y1)/(x2-x1)
We can now plug in two points that are given in the table.
slope = m = (9-5)/(9-5)
We can simplify our expression for slope by first computing the subtraction inside the parentheses.
slope = m = 4/4
If we simplify the expression further by dividing the numerator by the denominator, we get:
slope = m = 1
Therefore, the correct answer is slope = 1.
Hope this helps!
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match. (a) How many schedules are there? (b) How many schedules include neither sister? (c) How many schedules include both sisters and have them playing against each other? (d) How many schedules include both sisters, but have them playing in different matches?
Answer:
(a) 1,411,200.
(b) 302,400.
(c) 100,800.
(d) 1,008,000.
Step-by-step explanation:
Permutation is the number of ways to select k items from n distinct items in a specific order.
The formula to compute the permutation or arrangement of k items is:
[tex]^{n}P_{k}=\frac{n!}{(n-k)!}[/tex]
(a)
Compute the total number of schedules as follows:
[tex]\text{Total Number of Schedules}=\ ^{8}P_{4}\times \ ^{7}P_{4}[/tex]
[tex]=\frac{8!}{(8-4)!}\times \frac{7!}{(7-4)!}\\\\=\frac{8\times 7\times 6\times 5\times 4!}{4!}\times \frac{ 7\times 6\times 5\times 4\times 3!}{3!}\\\\=(8\times 7\times 6\times 5)\times (7\times 6\times 5\times 4)\\\\=1411200[/tex]
Thus, the total number of schedules are, 1,411,200.
(b)
Compute the number of schedules that includes neither sister as follows:
If neither of sister are included in the schedule then the number of players from the team are 7 and 6 respectively.
[tex]\text{Number of Schedules without the sisters}=\ ^{7}P_{4}\times \ ^{6}P_{4}[/tex]
[tex]=\frac{7!}{(7-4)!}\times \frac{6!}{(6-4)!}\\\\=\frac{ 7\times 6\times 5\times 4\times 3!}{3!}\times \frac{ 6\times 5\times 4\times 3\times 2!}{2!}\\\\=(7\times 6\times 5\times 4)\times (6\times 5\times 4\times 3)\\\\=302400[/tex]
Thus, the number of schedules that includes neither sister is 302,400.
(c)
Compute the number of schedules including both sisters and have them playing against each other as follows:
If both the sisters are playing against each other then there will be three more places to be filled in both the teams.
And the two sisters can play in any of the 4 matches.
[tex]\text{number of schedules including} \\\text{both sisters against each other}=(\ ^{7}P_{3}\times \ ^{6}P_{3})\times 4[/tex]
[tex]=[\frac{7!}{(7-3)!}\times \frac{6!}{(6-3)!}]\times 4\\\\=[\frac{ 7\times 6\times 5\times 4!}{4!}\times \frac{ 6\times 5\times 4\times 3!}{3!}]\times 4\\\\=[(7\times 6\times 5)\times (6\times 5\times 4)]\times 4\\\\=100800[/tex]
Thus, the number of schedules including both sisters and have them playing against each other is 100,800.
(d)
Compute the number of schedules including both sisters as follows:
[tex]\# \text {Schedules with the Sisters}=\text{Total}\ \#\ \text{Schedules }-\ \# \text {Schedules without the Sisters}[/tex] [tex]=1411200-302400\\=1108800[/tex]
Now compute the number of schedules having the sisters playing in different matches as follows:
[tex]\text{Playing in Different Matches}=\# \text {Schedules with the Sisters}-\text{Playing together}[/tex]
[tex]=1108800-100800\\=1008000[/tex]
Thus, the number of schedules including both sisters, but have them playing in different matches is 1,008,000.
Determine which of the values is a solution of 16 <3y + 4.
Answer:
y > 4
Step-by-step explanation:
What is the slope of the line
Answer:
-3/4x
Step-by-step explanation: Since the line going top left to bottom right you know that it is a negative slope. Remember to do rise over run. It's easier if you start at a point like (1, -1) and then rise up 3 and run left 4.
7 is a solution to the equation 3n + 9 = 33. true false
Answer:
No
Step-by-step explanation:
3n+9=33
-9=-9
3n= 24
3n/3=24/3
n=8
Answer:
False
Step-by-step explanation:
30 points to HELP PLEASE and THANK U
A wheel of a child's bicycle has a circumference that is 50% of the circumference of a child's mountain bicycle wheel. The child's bicycle wheel has a circumference of 37.7 inches. a. What is the radius (to the nearest inch) of the child's bicycle wheel? of the child's mountain bicycle wheel? b. The child's mountain bicycle wheel takes 2 seconds to make 3 revolutions . How fast(to the nearest inch per second) is the bicycle moving?
Answer:
36960in per minute
Step-by-step explanation:
Answer:
a) 6 inchesb) 113 inches per secondStep-by-step explanation:
Let the child bicycle wheel radius be x
Then its circumference is
C = 2πxa) Solving for x
37.7 = 2*3.14xx = 37.7/6.28x = 6.0 inb) Mountain bicycle has twice the circumference of a child bicycle
In 2 seconds it makes 3 revolutions
It makes the distance of
d = 3*2*37.7 = 226.2 inches in t = 2 secondsSpeed = d/t
Speed is:
226.2/2 = 113 inches/second
hcf of 72, 120, 192 with explanations