Answer:
x = 3
y = -1
Step-by-step explanation:
→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:
4x + 2y = 10
5x + 3y = 12
→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:
-12x - 6y = -30
10x + 6y = 24
____________
-2x = -6
→Divide both sides by -2:
x = 3
→Plug in 3 for x into an equation:
4x + 2y = 10
4(3) + 2y = 10
12 + 2y = 10
2y = -2
y = -1
At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale
Answer:
$ 14
Step-by-step explanation:
$ 40 --- 100%
$ x --- 35%
x = 40*35/100 = 14
Your new computer costs $2500 but it depreciates in value by about 14% per year
Answer:
Step-by-step explanation:
The computer's initial cost is 2500. It decreases by 14% every year. That means the price is multiplied by (100-14)/100=86/100 every year, for x years.
The equation is 2500*(86/100)^3. After three years, it is 2150.
What is the square root of -1
Answer:
i
Step-by-step explanation:
[tex]\sqrt{-1}[/tex] is the same thing as i, which is an imaginary number.
Since you can't take the square root of negative numbers, we use i to do it.
the graph below describes the journey of a train between two cities
Answer:
Step-by-step explanation:
To find : Acceleration in first 15 min . Distance between two cities Average speed of journey
Solution:
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Distance between two cities
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
Average Speed of journey = 125/2 = 62.5 km/hr
Acceleration in first 15 min = 200 km/h²
Distance between two cities = 125 km
Average Speed of journey = 62.5 km/hr
Hope this helps..
Answer:
200km/h^2, 125km, 62.5km/h
Step-by-step explanation:
For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.
The admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?
Answer:
1,600
Step-by-step explanation:
C=4.00
A=8.00
C+A=2,350
C=2,350-A
4C+8A=12,400
4(2,350-A)+8A=12,400
9,400-4A+8A=12,400
4A=12,400-9,400
4A=3,000
A=3,000/4
A=750 ADULTS ATTENDED.
C+750=2,350
C=2,350-750
C=1,600 CHILDREN ATTENDED.
IF (-6, 4) is the endpoint of a line segment, and (-2, -1) is its midpoint, find the other endpoint.
A) (2,-6)
B) (-14, 14)
9 (-16, 12)
D) (2,9)
A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].
The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.
[tex]
x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\
y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2
[/tex]
Now insert the numbers.
[tex]
x_1=2(-2)-(-6)=2 \\
y_1=2(-1)-4=-6
[/tex]
The result is an endpoint at [tex](2,-6)[/tex].
How much is $100 U.S. dollars in Canadian dollars?
Answer:
133.98
Step-by-step explanation:
B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers
Answer:
a : b : c = 12 : 10 : 15
Step-by-step explanation:
Given that: b = [tex]\frac{2}{5}[/tex] of c
i.e b = [tex]\frac{2c}{5}[/tex] ............... 1
2c = 5b
So that;
c = [tex]\frac{5b}{2}[/tex] .................... 2
Also,
4a = 3c
a = [tex]\frac{3c}{4}[/tex] ................ 3
⇒ a = [tex]\frac{3}{4}[/tex] × ([tex]\frac{5b}{2}[/tex])
a = [tex]\frac{15b}{8}[/tex] ................. 4
15b = 8a
b = [tex]\frac{8a}{15}[/tex] ................. 5
Comparing the derived equations:
From equations 2 and 3,
a:c = [tex]\frac{15b}{8}[/tex]: [tex]\frac{5b}{2}[/tex] = 4:5
From equations 1 and 2,
b:c = [tex]\frac{2c}{5}[/tex] : [tex]\frac{5b}{2}[/tex] = 2:3
But a common value of b = 15, gives;
a : c = 12 : 15 and b : c = 10 : 15
Thus, a : b : c = 12 : 10 : 15
The ratio a:b:c in its simplest form is 15:8:20
Ratios and ProportionsGiven the following parameters
b = 2/5 c4a = 3ca = 3/4cTo get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:
a:b:c = 3/4c : 2/5c :c
Multiply through by 20 to have:
a:b:c = 3/4c * 20 : 2/5c * 20: 20c
a:b:c = 15c:8c:20c
a:b:c = 15:8:20
Hence the ratio a:b:c in its simplest form is 15:8:20
Learn more on ratio here: https://brainly.com/question/2914376
What is the value of x?
Answer:
4
Step-by-step explanation:
LJK is a special right triangle with angle measures of 90° 60° 30°
If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2
LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4
Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
True or false all integers are rational
Answer:
The answer is True
Step-by-step explanation:
All rational numbers are integers
if f(x)=x+7and g(x)=1/x-13, what is the domain of (f•g)(x)
Answer: 7x-90/x-13
Step-by-step explanation:
f(x)= x+7
g(x)=1/x-13
(f•g)(x)=1/x+13+7
1+7(x-13)/x-13
1+7x-91/x-13
7x-90/x-13
Answer:
(-∞, 0)∪(0, ∞)
Step-by-step explanation:
You are given the functions f(x) and g(x). Now, you have to find (f*g)(x). To do this, you have to multiply the two functions.
f(x) = x + 7
g(x) = 1/x - 13
(f*g)(x) = (x + 7)(1/x - 13)
(f*g)(x) = -13x + 7/x + 1 - 91
(f*g)(x) = -13x + 7/x - 90
The domain has to include all of the x-values that will produce a rational number. So, look at where the x's are locate
-13x: You could put any rational number into this value and still have a rational number.
7/x: For this value, you cannot have 0 as an x-value. Every other number is fine.
This means that the domain will be (-∞, 0)∪(0, ∞).
You use parentheses and not brackets for the zero side because you don't want to include zero in the domain, but you do want to include all of the other numbers around zero. There are no brackets on the infinity side because infinity isn't a number. The ∪ symbol is used to combine domains.
Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.
In the diagram, the only figure that could be parallel to line c is
line a.
line b.
line d.
plane Q.
Answer:
C. line d
Step-by-step explanation:
Two parallel lines are lines that do not meet even with continuous extension of their length. While two lines are perpendicular when they form a right angle to each other at the point where they meet.
In the given question, the only figure that would be parallel to line c is line d. Line a is not parallel to line c (since it is slightly diagonal, it would intersect line c at a point) and line B is perpendicular to line c (since it is horizontal to plane Q), same as plane Q. So that lines c and d are parallel to each other.
Answer:
C. Line D
Step-by-step explanation:
Just took the test and got it right
There is more than one integer, greater than 1 , which leaves a remainder of 1 when divided by each of the four smallest primes. What is the difference between the two smallest such integers?
Answer:
210.
Step-by-step explanation:
The first 4 primes are 2,3,5 and 7.
If we multiply them we get 2*3*5*7 = 210.
So 210 + 1 = 211 is one integer which gives 1 as a remainder.
The next one would be 2*210 + 1 = 421.
The difference is 210.
EASY question for y’all mathy people, easy points! Question in photo.
Answer:
C - 13
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
No need
Which of the following is a solution of y > Ixl - 6?
O (5, -1)
O (-1,-5)
O (-5, 1)
Answer:
i think its the first option
Step-by-step explanation:
Please help! Correct answer only!
There is a raffle for a $380 prize. Out of 100 tickets, one ticket will win the prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?
Answer:
$3.80
Step-by-step explanation:
380/100= an expected payoff of 3.8 dollars. Hope this helps!
1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e
Answer:
1.x=(z/4)-y
2.b=(e-cd)/a
Step-by-step explanation:
1.
z=4(x+y)
Divide both sides by 4
z/4=x+y
Subtract y from both sides
(z/4)-y=x
Answer
x=(z/4)-y
2.
ab+cd=e
subtract cd from both sides
ab=e-cd
divide both sides by a
b=(e-cd)/a
Answer
b=(e-cd)/a
Answer:
[tex]1) x = \frac{z}{4} - y[/tex]
[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]
Explanation:
(1) Making x the subject: [tex]4(x + y) = z[/tex]
To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.
The detail procedure is described as following:
[tex]4(x + y) = z[/tex]
Apply associate property:
<=> [tex]4x + 4y = z[/tex]
Send 4y to the right side (the sign of 4y must be changed from positive to negative):
<=> [tex]4x = z - 4y[/tex]
Divide both sides by 4:
<=> [tex]x = \frac{z}{4} - y[/tex]
(2) Make b the subject: [tex]ab + cd = e[/tex], applying the similar procedure in part (1):
[tex]ab + cd = e[/tex]
Send [tex]cd[/tex] to the right side (the sign of
<=> [tex]ab = e - cd[/tex]
Divide both sides by [tex]a[/tex]:
<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]
Hope this helps!
:)
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 + 24 = x 18 squared + 24 = x (18 + 24) squared = x squared 18 squared + 24 squared = x squared
Answer:
A triangle has side lengths 18, 24, x.
18 + 24 = x
18 squared + 24 = x
(18 + 24) squared = x squared
18 squared + 24 squared = x squared
Step-by-step explanation:
The right triangle hypotenuse has its length 18² + 24² = x².
What is hypotenuse?In a right triangle, the "side opposite to the right angle is hypotenuse".
According to the question,
In right angle triangle, sides are 18, 24, x. Where 'x' is the hypotenuse of the right angle triangle. In right angle the opposite angle is 90⁰ . In order
to find hypotenuse,
18 + 24 = x
18² +24 =x
(18+ 24) ² = x²
18² + 24² = x²
Hence, the right triangle hypotenuse has its length 18² + 24² = x².
Learn more about hypotenuse here
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The height of a baseball, in feet, is represented by this expression, where t is time in seconds. The height of the baseball after 3.5 seconds is feet.
Answer:
The height of a baseball, in feet, is represented by this expression, where t is time in seconds.
-16t2+64t+3
The height of the baseball after 3.5 seconds is ___ feet.
Step-by-step explanation:
Consider the provided expression.
The height of a baseball, in feet, is represented by this expression, where t is time in seconds.
[tex]h=-16t^2+64t+3[/tex]
To find the height of the baseball after 3.5 seconds, substitute the value of t = 3.5 in above expression
[tex]h=-16(3.5)^2+64(3.5)+3h\\\\=-16(12.25)+224+3h\\\\=-196+227h=31[/tex]
Hence, the height of the baseball after 3.5 seconds is 31 feet.
Answer:
31feetStep-by-step explanation:
The question is incomplete. Here is the complete question.
The height of a baseball, in feet, is represented by this expression -16t²+64t+3, where t is time in seconds. The height of the baseball after 3.5 seconds is___ feet.
Given the height of the baseball modeled by the equation
h(t) = -16t²+64t+3
To get the height of the baseball after 3,5secs, we will substitute t = 3.5s into the equation of the height as shown;
[tex]h(3.5) = -16(3.5)^{2} +64(3.5)+3\\h(3.5) = -16(12.25)+224+3\\ h(3.5) = -196+224+3\\ h(3.5) = -193+224\\ h(3.5) = 31feet[/tex]
The height of the baseball after 3.5 seconds is 31feet.
If the point (9, 5) is translated 6 units left and 5 units up, then find the
translated coordinates of the point.
Answer:
I think it might be (-3,10). I am not a 100% sure.
Step-by-step explanation:
Which graph has a correlation coefficient, r, closest to 0.75?
Answer:
option A
Step-by-step explanation:
to find the correlation coefficient by hand, first put your data pairs into a table....
Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.
What is Correlation Coefficient?Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.
Given are four graphs.
The range of values for correlation coefficient, r is from -1 to 1.
The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.
Here the value of r is closest to 0.75.
Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.
Two such graphs are B and C.
Since r is 0.75, it is positive, So the relationship is positive.
So graph C is the correct one.
Hence graph C is the required graph.
Learn more about Correlation Coefficients here :
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what is an inverse statement
Answer:
1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc
2 | noun | a fact or assertion offered as evidence that something is true
3 | noun | (music) the presentation of a musical theme
4 | noun | a nonverbal message
5 | noun | the act of affirming or asserting or stating something
6 | noun | (computer science) a line of code written as part of a computer program
7 | noun | a document showing credits and debits
(7 meanings)
Can someone please help me.
Answer:
96
Step-by-step explanation:
Because math
A fair dice is rolled.
Work out the probability of getting a factor of 8.
Give your answer in its simplest form.
Answer:
1/2
Step-by-step explanation:
The factors of 8 are 1,2,4
So there are three factors of 8 on the dice
There are a total of 6 numbers on the dice
So the probability is ,3/6
Which in its simplest form is 1/2
A card is drawn at random from a standard pack of 52 playing cards. What is the probability of drawing a number greater than 5
Answer:36/52, simplified to 9/13 or 69.23%
Step-by-step explanation:
Need to pick 6, 7, 8, 9, 10, J, Q, K, A (9 cards per suit)
4 suits x 9 cards
36 cards
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed the points lol
Which graph represents an odd function? There are 6 points ona coordinate plane. The points ]are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1). There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4). There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0) There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).
Answer:
Option C.
Step-by-step explanation:
Let as consider f(x) is a function.
If [tex]f(-x)=f(x)[/tex], then f(x) is even function.
If [tex]f(-x)=-f(x)[/tex], then f(x) is odd function.
It means, if (x,y) is a point of the function, then (-x,-y)is also a point of the function.
In option A, (-5,3) is a point of the function, but (5,-3) is not a point of the function.
So, function in option A is not an odd function.
In option B, (-4,2) is a point of the function, but (4,-2) is not a point of the function.
So, function in option B is not an odd function.
In option C,
If (-4,0) is a point of function, then (4,0) is also the point of the function.
Similarly, (-3,1) and (3,-1), (-2,-3) and (2,3), (-1,-2) and (1,2) are points of the function.
So, function in option C is an odd function.
In option D, (-4,3) is a point of the function, but (4,-3) is not a point of the function.
So, function in option D is not an odd function.
Answer:
C
Step-by-step explanation:
on EDGE 2023
Billy invests £800 for 5 years in savings account By the end of the years he has received a total of £96 simple interest Work out the annual rate of simple interest
Answer: 2.4%
Step-by-step explanation:
SI = prt / 100
96 = ( 800 x r x 5) / 100
96 = 40r
r = 96 / 40 = 2.4%
what’s the answers ?
B and D
Step-by-step explanation:
I'm pretty sure its B because an acute angel measure less than 90°
what is 18% of 39 equals what
Answer:
7.02
Step-by-step explanation:
[tex]\frac{18}{100}[/tex] x 39 = 7.02
First write 18% as a decimal by moving the
decimal point two places to the left to get .18.
Next, the word "of" tells us we need to multiply.
So we multiply (.18)(39) to get 7.02.
So 7.02 is 18% of 39.
