Answer:
5
Step-by-step explanation:
"Dividing by a fraction is multiplying by the inverse".
(memorize something like this)
So:
[tex]\frac{2}{\frac25} = 2 \cdot \frac52 = \frac{10}{2} = 5[/tex]
If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the number
What is the equation of a line with slope 4 and intercept 12?
Answer:
y = 4x + 12
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 4
y-intercept b = 12
Step 2: Write function
Substitute [Form]: y = 4x + 12M is the midpoint of AN, A has coordinates
(-7,4), and M has coordinates (-4, -1). Find
the coordinates of N.
Help explain pls?
==========================================================
Explanation:
Let's focus on the x coordinates of each point for now.
Point A has x coordinate -7Point N has an unknown x coordinate. We leave it as x for now.Point M has x coordinate -4The idea to find the midpoint's coordinates is to add up the endpoints coordinates and divide by 2.
So we'll add up -7 and x, then divide by 2 to get the midpoint x coordinate of -4
In short we have: (-7+x)/2 = -4
Solving for x leads to...
(-7+x)/2 = -4
-7+x = 2*(-4)
-7+x = -8
x = -8+7
x = -1
This is the x coordinate of point N
-------------------------------
We'll repeat the same idea and steps for the y coordinates
Point A has y coordinate 4Point N has y coordinate unknown. Leave it as y for now.Point M has y coordinate -1So,
(4+y)/2 = -1
4+y = 2(-1)
4+y = -2
y = -2-4
y = -6
This is the y coordinate of point N.
------------------------------
In summary, we found that point N is located at (-1, -6)
Point A is (-7,4) and point N is (-1,-6)
If you apply the midpoint formula to those two points, you should find the midpoint to be M(-4,-1) which helps confirm the answer.
Another way to confirm the answer is to compute the distance from A to M, which finds the length of segment AM. Do the same for segment MN. You should find that both segments are the same length.
The diagram below is a visual way to check. Starting at point A and moving down to point B, we moved 5 units. Then go from B to M and you'll move 3 units to the right. This pattern "down 5, right 3" is applied again when we go from M to C to N in that order. This effectively creates two congruent triangles (ABM and MCN) which can lead to proving AM = MN.
In short: the red piece of the graph is the same length as the blue piece; this confirms we have the correct answer.
Step-by-step explanation:
According to Question , M is the midpoint of AN, A has coordinates (-7,4), and M has coordinates (-4, -1).
Figure :-
[tex] \setlength{\unitlength}{1 cm}\begin{picture}(20,12) \put(4,0.2){\line(0,-1){0.4}}\put(1,0){\line(1,0){6}} \put(3.8,-0.6){$\bf M(-4,-1) $} \put(1,-0.6){$\bf A (-7,4)$} \put(6.8,-0.6){$\bf N(x,y)$} \end{picture}[/tex]
Let the coordinates of N be ( x , y )
Now , according to Midpoint Formula , the midpoint of points say A(x , y) and B (x' , y') is given by ,
[tex]\boxed{\blue{ \bf Midpoint =\bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) }}[/tex]
On using this formula ,
[tex]=> Midpoint = \bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) \\ \\ => (-4, 1) = \bigg( \dfrac{x -7 }{2} , \dfrac{y + 4 }{2}\bigg) \\ \\ => -4 = \dfrac{x-7}{2} \\\\ => x - 7 = -8 \\\\ => x = 7 -8 \\\\ \boxed{\red{\sf=> x = -1 }} \\\\ => \dfrac{y+4}{2}=-1 \\\\=> y +4 = -2 \\ \\ y = -4-2 \\\\\boxed{\red{\sf=> y = -6 }}[/tex]
PLSSSSS I NEED HELP I WILL GIVE BRAINLEST OR HOWEVER I SPELL IT PLSS ITS ON THE PICTURE‼️‼️
Answer:
2nd option where z=2
w=3
Answer:
the second answer
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
a).6x^8y^5
b)4x^5z^8
c)12a^9b^7
d)6s^9t³
At a hardware store, a tool set normally cost $80. During a sale this week, the tool set costs $12 less than usual.
What percentage of the usual price is the saving? Explain or show your reasoning.
Answer:
15 % of usual price is a savings
Step-by-step explanation:
Given that tool set normally cost $80
During the sale this week the tools that cost $12 less than usual
To find: what percentage of the usual price is a savings
From given information,
Usual price of tool set = $ 80
Given that tools that cost $12 less than usual which means she saved $ 12
Savings = $ 12
To find what percentage of the usual price is a savings, we can solve by framing a expression,
Let "x" be the required percentage
Then x % of percentage is equal to savings price
x % of usual price = savings price
x % of 80 = 12
Therefore 15 % of usual price is a savings
Answer:
Answer is 15%
Step-by-step explanation:
You have to do a proportion
12. = x
80 100 and u have to cross multiply
80x = 1200
80. 80
then divide 1200÷80=15
If a= -2 and b =3, what is the value of ( 2b-3a)/ab?
Answer:
-2
Step-by-step explanation:
Substitute in the values
(2(3)-3(-2))/(-2)(3)
multiply
(6+6)/(-6)
(the second 6 became positive because it is a negative 3 times negative 2.)
add
12/-6
divide
-2
A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the original price of the pants?
Answer:
$171
Step-by-step explanation:
A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the original price of the pants?
Let x represent the original price of the pair of pants
From the question, we know that:
10% of x = $17.10
10/100 × x = $17.10
10x/100 = $17.10
Cross Multiply
10x = 100 × $17.10
10x = 1710
x = 1710/10
x = $171
Hence, the original price of the pants = $171
Help... with number 15 plz
Answer:
P
Step-by-step explanation:
p is the ans
Nancy is making accessories for the soccer team. She uses 546.12 inches of fabric on headbands for 33 players and 3 coaches. She also uses 307.23 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
15.17in of fabric on headbands
9.31 in of fabric on wristbands.
Step-by-step explanation:
Step one:
given data
the total amount of person players plus coaches= 33+3= 36
for each person, she uses = 546.12/36= 15.17 in of fabric on headbands
She also uses 307.23 inches of fabric on wristbands for just the players
For each player, she will use= 307.23/33= 9.31 in of fabric
Hence for each player, she used
15.17in of fabric on headbands
9.31 in of fabric on wristbands
What is the product of 2(cos(45°) + i sin(45°)) and 5(cos(30°) + i sin(30°))?
Pls help
Answer:
[tex]10(\cos 75^\circ+\mathbf{i}\sin 75^\circ)[/tex]
Step-by-step explanation:
Complex Numbers
Complex numbers can be expressed in several forms. One of them is the rectangular form(x,y):
[tex]Z = x+\mathbf{i}y[/tex]
Where
[tex]\mathbf{i}=\sqrt{-1}[/tex]
They can also be expressed in polar form (r,θ):
[tex]Z=r(\cos\theta+\mathbf{i}\sin\theta)[/tex]
The polar form is also shortened to:
[tex]Z = r CiS(\theta)[/tex]
The product of two complex numbers in polar form is:
[tex][r_1Cis(\theta_1)]\cdot [r_2Cis(\theta_2)]=r_1\cdot r_2Cis(\theta_1+\theta_2)[/tex]
We are given the complex numbers:
2(cos(45°) + i sin(45°)) and 5(cos(30°) + i sin(30°))
They can be written as:
2CiS(45°) and 5CiS(30°). The product is:
2CiS(45°) * 5CiS(30°) = 10CiS(75°)
Expressing back in rectangular form:
[tex]\boxed{2CiS(45^\circ) \cdot 5CiS(30^\circ) =10(\cos 75^\circ+\mathbf{i}\sin 75^\circ)}[/tex]
Answer:
10, 75, 75 on edge
Step-by-step explanation:
Someone please help me!
Answer:
A. [tex] x \leq -16[/tex]
B. b > 11
C. [tex] c \leq -13 [/tex]
D. [tex] x \geq -9[/tex]
Step-by-step explanation:
Given the following algebraic expression;
A. [tex] \frac {3x}{4} \leq 12 [/tex]
We would simplify the equation by multiplying all through by 4;
[tex] 4 * \frac {-3x}{4} \leq 12 * 4[/tex]
[tex] -3x \leq 48[/tex]
Divide both sides by -3;
[tex] x \leq -16[/tex]
B. 5b - 28 > 27
Rearranging the equation, we have;
5b > 27 + 28
5b > 55
Divide both sides by 5
b > 11
C. [tex] 13c \leq -169[/tex]
Divide both sides by 13
[tex] c \leq -13 [/tex]
D. [tex] 3x - 7 \geq 4x + 2[/tex]
Collecting like terms, we have;
[tex] 3x - 4x \geq 2 + 7[/tex]
[tex] -x \geq 9[/tex]
Divide both sides by -1
[tex] x \geq -9[/tex]
Plz help ASAP I need answers now for all of them
Which equation best describes the
relationship between the corresponding
values of x and y shown in the table?
х
у
-1
-2
O
3
1
5
3
9
A y = x + 1
B y = 2x - 3
C y = 2x + 3
D y = 3x + 5
Note: The first point of the table should be (-2,-1) instead of (-1,-2). because (-1,-2) does not satisfy the relation.
Given:
Consider the table of values is
x y
-2 -1
0 3
1 5
3 9
To find:
The equation that best describes the relationship between the corresponding values of x and y.
Solution:
Consider any two points from the given table, i.e., (0,3) amd (1,5).
So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{5-3}{1-0}(x-0)[/tex]
[tex]y-3=\dfrac{2}{1}(x)[/tex]
[tex]y-3=2x[/tex]
Adding 3 on both sides, we get
[tex]y=2x+3[/tex]
Therefore, the correct option is C.
What is the distance between point A and B , to the nearest tenth ?
Find the VALUE of or EVALUATE 7a - 9 when a = 10. (HINT: 7a means 7 times a which is 7 times 10)
Answer:
61
Step-by-step explanation:
7a-9 = 7(10)-9 = 70-9 = 61
The company receptionist receives about 20 calls every 45 minutes. How many calls can she expect in 180 minutes?
Step-by-step explanation:
approx 63 calls in 180 min :)
#shadow
Answer:- 180minutes means 80 calls
From the roof of a building, a ball is thrown into the air. The height of the ball, h, in
metres after t seconds is given byh = -t2 + 4t + 12.
a) What is the height of the building?
b) How long will it take for the ball to hit the ground?
c) What is the maximum height of the ball and when does it occur?
d) When will the ball have a height of exactly 7m above the ground?
Answer:
a) The height of the building is 12 metres.
b) The ball will take 6 seconds to hit the ground.
c) The maximum height of the ball is 16 metres and occurs 2 seconds after launch.
d) The ball have a height of 7 meters above the ground 5 seconds after launch.
Step-by-step explanation:
a) The roof of the building is represented by the initial height of the ball according to the function. If we know that [tex]t = 0\,s[/tex], the height of the building, measured in metres, is:
[tex]y = -(0\,s)^{2}+4\cdot (0\,s) + 12[/tex]
[tex]y = 12\,m[/tex]
The height of the building is 12 metres.
b) Let equalise the given polynomial and solve for [tex]t[/tex] to determine the time taken for the ball to hit the ground:
[tex]-t^{2}+4\cdot t +12 = 0[/tex] (1)
By the Quadratic Formula, we find the following solutions:
[tex]t_{1} = 6\,s[/tex] and [tex]t_{2} = -2\,s[/tex]
Since time is a positive variable, then the only solution that is physically reasonable is:
[tex]t = 6\,s[/tex]
The ball will take 6 seconds to hit the ground.
c) The maximum height of the ball occurs when speed is equal to zero. First, we differentiate the function and equalise to zero:
[tex]-2\cdot t + 4 = 0[/tex] (2)
[tex]t = 2\,s[/tex]
Lastly, we evaluate the function at given time:
[tex]y = -(2\,s)^{2}+4\cdot (2\,s)+12[/tex]
[tex]y = 16\,m[/tex]
The maximum height of the ball is 16 metres and occurs 2 seconds after launch.
d) We equalise the height formula to seven and solve the resulting polynomial:
[tex]-t^{2}+4\cdot t + 12 = 7[/tex]
[tex]-t^{2}+4\cdot t +5 = 0[/tex] (3)
By the Quadratic Formula, we get the following solutions:
[tex]t_{1} \approx 5\,s[/tex] and [tex]t_{2} \approx -1\,s[/tex]
The only solution that is physically reasonable is [tex]t = 5\,s[/tex].
The ball have a height of 7 meters above the ground 5 seconds after launch.
please help quick WILL GIVE BBRAINLIEST IF ANSWER IS RIGHT
Answer:
The answer is 300,000
Step-by-step explanation:
574,395 - 249,999 = 324,396
ROUND 324,396 DOWN
Help with number 23 plz. Plz...
Answer:
D
Step-by-step explanation:
D, it has (x). so its easy to plug in x e.g. 3(4y+6)-2y=3.
Hope this helps plz hit the crown :D
what is the value of 5 + -2
Answer:
3
Step-by-step explanation:
5 is greater than 2 and two is negative so the answer is positive
Use the graph to estimate the solutions to the quadratic system
Helppppppppppppppp!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
Raymond had already run 3 miles on his own, and he expects to run 1 mile during each track practice. How many track practices would it take for Raymond to run 45 miles?
Answer in the number of practices.
Answer:
42
Step-by-step explanation:
45-3
Answer:
11.25, or 42
Step-by-step explanation:
If 3 miles every practice too, then:
3+1 = 4
45/4 = 11.25
If 3 miles already, then always 1 mile:
45 - 3 = 42
42/1 = 42
PLEASE PLEASE OLEASE HELP ME ASAP I WILL LOVE U FOREVER
Answer:
m=3/2
look how many units go up and to the side between 2 points
As seen here, we go up 3 units and over 2 units from (0, -3) to (2, 0.) Therefore, slope is 3/2
Step-by-step explanation:
Which is the better buy: 14 pieces of candy for $5.49 or 35 pieces of candy for $12.24?
Answer:
I think 35 pieces of candy for $12.24 because If you doubled the 14 pieces by money and you would get 28 pieces of candy for $10.98.
Step-by-step explanation:
35 pieces would be the best answer!
Find the result when 7x + 12 is subtracted from 11x – 10.
-
We have to use distributing
Answer:
[tex]-4x+2[/tex]
Step-by-step explanation:
STEP 1: Subtract 11x from 7x.
STEP 2: Subtract 10 from 12.
Answer:
-4x + 22
Step-by-step explanation:
7x + 12
- 11x - 10
-4x + 22
The amount of variation in the dependent variable that cannot be accounted for by the combination of independent variables in regression analysis is called .
Answer:
A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?
x
y
Negative two-thirds
Negative three-fourths
Negative one-sixth
Negative StartFraction 9 Over 16 EndFraction
One-third
Negative StartFraction 3 Over 8 EndFraction
StartFraction 5 Over 6 EndFraction
Negative StartFraction 3 Over 16 EndFraction
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept
Step-by-step explanation:
The segment show below form a triangle
True or false?
Answer:
true
Step-by-step explanation:
because it would be
In a game, the probability that a spinner will land on a 2 is 1/3. How many times would you expect to land on a 2 if you spin the spinner 6 times?
Answer:
2 times
Step-by-step explanation:
The probability of 1/3 means that the spinner will land on a 2, 1/3 of the time:
We can predict how many times it will land on a 2 by finding 1/3 of 6:
6/3
= 2
So, the spinner will land on a 2, two times
Number of times probability of landing on a 2 is 2, when you spin the spinner 6 times.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, in a game, the probability that a spinner will land on a 2 is 1/3.
If you spin the spinner 6 times, probability of landing on a 2 is
1/3 ×6
= 2
Therefore, number of times probability of landing on a 2 is 2.
To learn more about the probability visit:
https://brainly.com/question/11234923.
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