Answer:
[tex] y = - \frac{5}{4}x - \frac{5}{2} [/tex]
Step-by-step explanation:
Don't know if it's right but yeah that's what I got.
first interchange x and y second swap the the sides of the equationthird multiply both sides of the equation by 55th move the constant to the right-hand side and change its sign Divide both sides of the equation by -472 and 75 find the length of the third side of the right triangle
Answer:
[tex]3\sqrt{1201}[/tex]
Step-by-step explanation:
assuming the missing side was the long side or the c side
[tex]a^{2} +b^2=c^2\\72^2+75^2=c^2\\5184+5625=10809\\\sqrt{10809}=3\sqrt{1201}[/tex]
What is 12 as an improper fraction? A. ⅔ в. ⅔ c. ⅔ D. ⅔
Hector plays a video game that awards gems based on how long he plays. He made this graph to study how his playing time relates to number of gems:
A graph plots t=playing time in hours on the horizontal axis, from 0 to 7, in increments of 1, versus g=total gems on the vertical axis, from 0 to 48, in increments of 8, on a coordinate plane. Points are plotted as follows: (2, 16), (4, 32), and (6, 48).
A graph plots t=playing time in hours on the horizontal axis, from 0 to 7, in increments of 1, versus g=total gems on the vertical axis, from 0 to 48, in increments of 8, on a coordinate plane. Points are plotted as follows: (2, 16), (4, 32), and (6, 48).
How many total gems will Hector get if he plays for
10.5
10.510, point, 5 hours?
gems
The number of gems that Hector will get if he plays for 10.5 hours is given as follows:
84 gems.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the table, the constant is given as follows:
k = 48/6 = 32/4 = 16/2 = 8.
Hence the equation giving the number of gems after playing for x hours is given as follows:
y = 8x.
After 10.5 hours, the number of gems is then given as follows:
y = 8 x 10.5
y = 84 gems.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Answer:
84
Step-by-step explanation:
a comedy club earns $1088 from an opening night performance and $1183 from a second performance. on opening night the club sells 68 adult tickets sand 136 student tickets. on the second night the club sells 79 adult tickets and 140 student tickets what is the price of each ticket
Answer:
student tickets cost $4.50
adult tickets cost $7.00
Step-by-step explanation:
a = cost of an adult ticket
s = cost of a student ticket
(1) 68a + 136s = 1088
(2) 79a + 140s = 1183
solve (1) for a:
68a = 1088 - 136s
a = 16 - 2s substitute this into (2):
79(16-2s) + 140s = 1183
1264 - 158s + 140s = 1183 solve for s:
-18s = -81
s = -81/-18 = 4.50 plug this into either equation 1 or 2 to solve for a:
68a + 136(4.50) = 1088
68a = 1088 - 612 = 476
a = 476/68 = 7.00
Express it to mathematical phrase:
Three added to four times a number
Answer:
4x + 3 = y
Step-by-step explanation:
Answer:
4x+3
there is no actual explanation
Three added= +3
four times a number= 4*x=4x
Another operation that can be defined on sets A and B is the difference of the sets, denoted by
A − B.
Here is the formal definition of the difference of sets A and B.
A − B = {x | x is in A and x not in B}
Thus
A − B
is the set of elements that belong to A but not to B. For instance, let
A = {1, 2, 3, 7, 8}
and
B = {2, 7, 11}.
Then
A − B = {1, 3, 8}.
Determine the difference, given that
U = {1, 2, 3, 4, 5, 6, 7, 8, 9},
A = {2, 4, 6, 8},
and
B = {1, 4, 6, 9}.
(Enter your answers as a comma-separated list.)
A − B'
Answer:
Step-by-step explanation:
To find the difference A - B', we need to first find the complement of B, denoted by B', which is the set of all elements in U that are not in B.
Given that U = {1, 2, 3, 4, 5, 6, 7, 8, 9},
B = {1, 4, 6, 9},
then B' = {2, 3, 5, 7, 8}.
Next, we find A - B' by looking for the elements that belong to A and not to B':
A - B' = {2, 4, 6, 8} - {2, 3, 5, 7, 8} = {4, 6, 8}.
what is the answer for
−7x−y=0
Answer: y=-7x-0 if solving for literal y or x=y+0/-7 if solving for literal x.
Step-by-step explanation:
-7x-y=0
add (+) 7x to both sides
-y=7x+0
then divide by -1
y=-7x-0
-------------------------------------
for literal X
-7x-y=0
add y to both sides
-7x=y+0
then divide by -7\
x=y+0/-7
 UNDER 5 min!!!
PLS ANSWER QUICK CORRECTLY!!!! help ya girl ouu!
what is the period of the sinusoidal function? enter your answer in the box.
The period of the sinusoidal function in this problem is given as follows:
5 units.
How to obtain the period of the function?A periodic function is a function that has the behavior repeating in intervals over the domain.
Then the period of the function is defined as the shortest difference between two points in which the function has the same behavior.
One of the examples of the shortest difference in this problem is between x = 1 and x = 6, hence the period is calculated as follows:
6 - 1 = 5 units.
More can be learned about functions at brainly.com/question/24808124
#SPJ1
What is the slope and y-intercept of this line?
y = –6x + 2
Answer:
the slope is -6
the y-intercept is 2
Step-by-step explanation:
y=mx+b where m is the slope and b is the y-intercept
a) Slope: -6;
b) y-intercept: 2, which means that the line touches the "y" axis on point (0, 2).
Step-by-step explanation:Given equation: [tex]y = -6x + 2[/tex].
Here's a little tip that will help you quickly find the slope and y-intercept.
First, solve the equation for "y". This equation is already solved for "y", this is called "slope-intercept form". Now, take a look at the attached image and identify the values. As you can tell, for the given equation, values are:
a) Slope: -6;
b) y-intercept: 2, which means that the line touches the "y" axis on point (0, 2).
You may verify this information using the algebraic methods (slope formula and substituting "x" by 0 and calculate "y"). It'll give you the same answer, this is just a faster way to find the values.
-------------------------------------------------------------------------------------------------------
Learn more about the slope of linear equations here:
https://brainly.com/question/30433648
https://brainly.com/question/30423275
https://brainly.com/question/30029053
https://brainly.com/question/29900530
https://brainly.com/question/29859214
https://brainly.com/question/29779416
-------------------------------------------------------------------------------------------------------
Learn more about linear equations here:
https://brainly.com/question/28262883
https://brainly.com/question/28339006
https://brainly.com/question/28339255
https://brainly.com/question/28282032
. Describe the graph of the function. Y=sqrt x-7 +8
Graph each system and determine the number of solutions that it has. If it has one solution, name it.
Y = 4X + 2
Y = -2x - 4
Answer:
1) x=1/4Y-1/2 2) x=1/4Y-1/2
Step-by-step explanation:
x=1/4Y-1/2 x=1/4Y-1/2
-4x=2-Y 2x=-4-Y
x=-1/2+1/4Y x=-2-1/2Y
x=1/4Y-1/2 x=1/4Y-1/2
707 divided by 6 with remainder
i want my sparx to be done please help
(a) The perimeter of the rectangle in centimeter is 2,800 cm.
(b) The area of the rectangle is 450,000 cm².
What is the perimeter of the rectangle?The perimeter of the rectangle in centimeter is calculated as follows;
P = 2 ( L + B )
where;
L is the length of the perimeterB is the breadth of the perimeterThe length of the rectangle = 9 m = 900 cm
The breadth of the rectangle = 5 m = 500 cm
Perimeter = 2 ( 900 cm + 500 cm ) = 2,800 cm
The area of the rectangle is calculated as follows;
A = LB
A = 900 cm x 500 cm
A = 450,000 cm²
Learn more about area of rectangle here: https://brainly.com/question/2607596
#SPJ1
Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 28° more than the measure of the second angle.
What is themeasure of each angle?
Answer:
The first one is 76°, second one is 38°, third one is 66°
Step-by-step explanation:
Suppose the second one is x, given the first one is twice of the second one, so the first one is 2x.
2x+x+(28°+x)=180°
4x=152°
x=38
So, the first one is 76°, second one is 38°, third one is 66°
Please help will mark Brainly
Answer: Y=5
8x5=40
40x5=200
200x5=1000
etc..
Delilah babysits a fixed number of hours per week. Her friend Laura babysits
5 hours more per week than Delilah. Write an equation that models the tota
number of hours Laura babysits.
An equation that models the total number of hours which Laura babysits is l = d + 5.
How to determine the total cost of y of x rides?In order to write an equation that model this situation, we would assign variables to the number of hours Delilah babysits and the number of hours Laura babysits respectively, and then translate the word problem into algebraic equation as follows:
Let the variable d represent the number of hours Delilah babysits.Let the variable l represent the number of hours Laura babysits.Next, we would translate the word problem into an algebraic equation based on the fact that Laura babysits 5 hours more per week than Delilah as follows;
l = d + 5
Read more on equations here: brainly.com/question/3382177
#SPJ1
Reid found 6 coins that totaled 61c in all. What coins did the find?
Reid found 1 quarter, 3 dimes, 1 nickel and 1 penny coins.
What is currency?Currency is anything that is generally accepted to have value as a medium of exchange so that it can be traded for goods and services.
Given that, Reid found 6 coins that totaled 61 cents in all.
Since, in total he got 6 coins that value 61 cents in total.
So, wd know that,
1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
1 penny = 1 cents,
Adding them = 25 + 10 + 5 + 1
= 41 cents
We need 20 cents and 2 coins more,
So, add 3 coins more in nickel, so, that,
3 nickels = 30 cents
Now, Reid in total will have 6 coins and that will value 61 c.
Hence, Reid found 1 quarter, 3 dimes, 1 nickel and 1 penny coins.
Learn more about currency, click;
https://brainly.com/question/14372075
#SPJ1
A person invested $7500 for 1 year, part at 6%, part at 9%, and the remainder at 15%. The total annual income from these investments was $867. The amount of money invested at 15% was $100 more than the amounts invested at 6% and 9% combined. Find the amount invested at each rate.
Answer: The amount invested at 6% was $1393.57, the amount invested at 9% was $306.13, and the amount invested at 15% was $1393.57 + $306.13 + $100 = $1800.70.
Step-by-step explanation:
Let's denote the amount invested at 6% as "x". Then, the amount invested at 9% would be "y", and the amount invested at 15% would be "z".
According to the problem, we have the following information:
x + y + z = $7500 (the total amount invested)
0.06x + 0.09y + 0.15z = $867 (the total annual income)
And,
z = x + y + $100 (the amount invested at 15% was $100 more than the amounts invested at 6% and 9% combined)
We can substitute the third equation into the first equation to get:
x + y + x + y + $100 = $7500
Simplifying:
2x + 2y + $100 = $7500
2x + 2y = $7400
Next, we can substitute "z = x + y + $100" into the second equation:
0.06x + 0.09y + 0.15(x + y + $100) = $867
Expanding:
0.06x + 0.09y + 0.15x + 0.15y + 0.15 * $100 = $867
0.21x + 0.24y + $15 = $867
0.21x + 0.24y = $852
Finally, we can solve for x and y using the equations "2x + 2y = $7400" and "0.21x + 0.24y = $852".
We can use elimination method to find x:
2x + 2y = $7400
0.21x + 0.24y = $852
Multiplying the first equation by 0.21:
0.42x + 0.42y = $1557.8
Subtracting the second equation from the first:
0.42x + 0.42y - 0.21x - 0.24y = $1557.8 - $852
0.21x - 0.03y = $705.8
Dividing both sides by 0.21:
x = $705.8 / 0.21 + 0.03y / 0.21
x = $3357.14 / 0.24 + y
Finally, substituting x back into the equation "2x + 2y = $7400":
2($3357.14 / 0.24 + y) + 2y = $7400
Expanding:
$6714.29 + 2.24y = $7400
Solving for y:
2.24y = $7400 - $6714.29
y = $685.71 / 2.24
y = $306.13
And finally, substituting y back into the equation "x = $3357.14 / 0.24 + y":
x = $3357.14 / 0.24 + $306.13
x = $1393.57
Therefore, the amount invested at 6% was $1393.57, the amount invested at 9% was $306.13, and the amount invested at 15% was $1393.57 + $306.13 + $100 = $1800.70.
10
Complete the equation for the line
shown in the graph.
6.67 y
-6.67
(0,2)
(1,-2)
10
y=[?]x + [ ]
Answer:
y= -4x+2
Step-by-step explanation:
diff in y / diff in x = slope
so the slope is (-2-2) /(1-0) = -4
intercept is whatever is on Y axis, it's 2
so y= -4x+2
Answer:
Step-by-step explanation:
Divide 100 by 16 and write the answer as a mixed number. Reduce the
fraction part of the mixed number. 6 1/4 here u go.
Look at the figure. Find TW.
VIEW THE IMAGE ATTACHED.
Answer:
TW = 9
Step-by-step explanation:
WY is the perpendicular bisector of TZ with TY ≅ ZY , then
Δ TWZ is isosceles with ZW ≅ TW , that is
3x = x + 6 ( subtract x from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Then
TW = x + 6 = 3 + 6 = 9
If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 20t feet
in t seconds. How long will it take him to fall 130 feet? (Round your answer to two decimal places.)
It take the man 19.83 seconds to fall to 130 feet
How to determine how long will it take him to fall 130 feet?From the question, we have the following parameters that can be used in our computation:
h(t) = 12.5(0.2t − 1)^2 + 20
When the man reaches 130 feet, we have
h(t) = 130
Substitute the known values in the above equation, so, we have the following representation
12.5(0.2t − 1)^2 + 20 = 130
Using a graphing calculator, we have
t = 19.83
Hence, the time is 19.83 seconds
Read more about quadratic function at
https://brainly.com/question/1214333
#SPJ1
(100 POINTS!) In parallelogram JKLM if JL=32 find JN.
Answer:
JN = 16
Step-by-step explanation:
Since diagonals in parallelograms bisect each other, JN = [tex]\frac{1}{2}[/tex]JL
Answer:
To find JN in parallelogram JKLM when JL is 32, you can draw a line from J to L, and then extend the line to find JN. The length of JN will be equal to 32.
4. The sum of the first eight terms of an arithmetic sequence is 60. The sum of the 9th to 14th terms is 108. Find the 25th term.
Answer:
PLACEHOLDER SRRY BRB
Step-by-step explanation:
g (-9) if g(x) = -6x + 6
A recipe for flapjacks uses only syrup, sugar, butter and oats,
in the ratio 1: 2:2:4
a) Tiger makes some flapjacks using this recipe and uses 60g of syrup.
(i) What quantity of butter should he use?
g
(ii) What will be the total quantity of flapjacks he makes?
b) Using this recipe, 150g of syrup are needed to make 8 flapjacks.
Find the quantity of oats needed to make 12 of these flapjacks.
Optional working
+
Answer:
g
g
The quantity of butter that should be used is 120g. ii. The total quantity of flapjacks would be: 540g. b. The amount of oats would be: 75g.
What is ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
Given that the ratio of ingredients for the recipe is 1: 2: 2: 4.
Let us suppose the syrup has a ratio of 1x, then the ratio of other ingredients are:
sugar = 2x
butter = 2x
oats = 4x
a. Tiger uses syrup, x = 60g
i. The quantity of butter that should be used is 2x = 2(60) = 120g.
ii. The total quantity of flapjacks would be:
x + 2x + 2x + 4x = 60 + 120 + 120 + 240 = 540g
b. Given that:
150g syrup = 8 flapjacks
x = 1 flapjack
Using the cross multiplication method, we have:
x = 150/8
x = 18.75g
So, for one flap jack the syrup needed is 18.75g, then the amount of oats would be: 4x = 4(18.75) = 75g.
Hence, the quantity of butter that should be used is 120g. ii. The total quantity of flapjacks would be: 540g. b. The amount of oats would be: 75g.
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ1
In the diagram below of triangle CDE, F is the midpoint of CE and G is the midpoint of DE. If m∠ECD=12+9x, m∠EFG=−2x+111, what is the measure of ∠EFG?
The measure of m∠EFG in triangle CDE is equal to 93 units.
What is the midpoint theorem?In Mathematics, the midpoint theorem states that in a triangle, the line segment which joins the midpoints of any two (2) sides of the triangle must be parallel to the third side and congruent to half of the length of the third side.
By applying the midpoint theorem to triangle CDE, the measure of m∠EFG can be calculated as follows;
m∠ECD = m∠EFG
12 + 9x = −2x + 111
9x + 2x = 111 - 12
11x = 99
x = 99/11
x = 9.
For line segment m∠EFG, we have the following:
m∠EFG = −2x + 111
m∠EFG = −2(9) + 111
m∠EFG = −18 + 111
m∠EFG = 93 units.
Read more on midpoint here: https://brainly.com/question/30032808
#SPJ1
Fill in the blank 12/18 =_/18 =14/_ =_/27
The value in the blank are: 12/18 =12/18 =14/9.3 =18/27.
What is cross multiplication?To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
The given fractions are as follows:
12/18 =_/18 =14/_ =_/27
Taking the first two terms and applying cross multiplication we have:
12/18 =_/18
12(18)/ (18) = x
x = 12
Taking the next two terms:
12/18 =14/ y
Applying cross multiplication we have:
y = (14)(12)/ (18)
y = 9.3
Taking the third term and applying cross multiplication we have:
12/18 = z/27
z =12(27)/ 18
z = 18
Hence, the blanks are:
12/18 =12/18 =14/9.3 =18/27
Learn more about cross multiplication here:
https://brainly.com/question/15209325
#SPJ1
Cala rolls a biased dice 40 times. It comes up with a three 14 times. Calculate the relative frequency of rolling a three.
The relative frequency of rolling a three is 14/40 or 0.35.
Answer14/40 or 0.35
Step-by-step explanation:
Number of times dice is rolled= 40
Number of times three comes up= 14
Relative frequency(Probability) = 14/40 or 0.35
Please help me I WILL GIVE BRAINLIEST! This question is 10 points!!
Answer: D
Step-by-step explanation:
Srry, Im really bad at explaining but the answer is prob D
Can someone solve this with the work also shown?
Answer:
a.
The growth rate (k) can be calculated using the exponential growth formula: P = P0 * e^(kt), where P0 is the initial population, t is the time in years, and e is the natural logarithm base.
From the information provided, the initial population of elves in 2000 was 23, and in 2003, the population was 34. By substituting the values into the formula and solving for k, we get:
34 = 23 * e^(k * 3)
Taking the natural logarithm of both sides:
ln(34) = ln(23 * e^(k * 3))
Using the logarithmic identity:
ln(34) = ln(23) + ln(e^(k * 3))
Solving for k:
k = (ln(34) - ln(23)) / (3) = 0.175
Therefore, the growth rate (k) for the population of elves is 0.175.
b.
To find the population of elves in 2020, we can use the exponential growth formula:
P = P0 * e^(kt)
Substituting the initial population of elves in 2000, which was 23, and the growth rate (k), which we found to be 0.175, we get:
P = 23 * e^(0.175 * 20)
Calculating the exponential function:
P = 23 * e^3.5
Therefore, there will be approximately 51 elves in 2020.
c.
To find the year when there will be 543 elves, we can use the exponential growth formula and solve for t:
543 = 23 * e^(0.175 * t)
Dividing both sides by 23 and taking the natural logarithm of both sides:
ln(543/23) = 0.175 * t
Solving for t:
t = (ln(543/23)) / 0.175
Therefore, there will be 543 elves in the year 2027.
i am not sure