Answer:
L= -12
W= -36
Step-by-step explanation:
-12 x -36 = 432
so the area of your master bedroom is 432.
Given that 4x−5y=39
Find y when x=3
Give your answer as an improper fraction in its simplest form.
Answer:
- [tex]\frac{27}{25\\}[/tex]
Step-by-step explanation:
4x−5y=39
for x=3
12 - 5y = 39
-5y = 39 -12
-5y = [tex]\frac{27}{5\\}[/tex]
-y = [tex]\frac{27}{25\\}[/tex]
y = - [tex]\frac{27}{25\\}[/tex] = -1 [tex]\frac{2}{25\\}\\[/tex]
-27/5 or -5 2/5
Step-by-step explanation:
4x-5y=39 while x=3
4(3)-5y=39 add x into bracket
12-5y=39 result of 4*3
12-5y-12=12-39 substrate non variable number to each side
5y = -27 the result from upper substraction
y= -27/5 the result mixed fraction form -5 2/5
(-2,4) ,(3,-6) point slope form
what are the angle measures given the figure is a rhombus???
Answer:
∠ 1 = 136°
Step-by-step explanation:
The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°
Consecutive angles are supplementary, thus
∠ 1 + 44° = 180° ( subtract 44° from both sides )
∠ 1 = 136°
Evaluate the expression when x = -6
Answer:
−39
Step-by-step explanation:
−6^2+5−6−2
=−36+5−6−2
=−31−6−2
=−37−2
=−39
Answer:
4
Step-by-step explanation:
(-6)^2 + 5(-6) -2
= 36 - 30 - 2
= 6 - 2
= 4
Is this the one you meant?
3 hats and 2 scarves costs £12.
5 hats and 4 scarves costs £21.
Find the cost of a hat.
Find the cost of a scarf
Answer:
hat=£(9*9)/3*24)/3/8/9
Scarf=£1.5
Step-by-step explanation:
Let's suppose hats is the variable h
And Let's suppose scarves is the variable s
3h+2s=12
5h+4s=21
so, 3h+2s=12 which is also 2s=12-3h
so, in the equare 5h+4s=21 we can replace the 4s with 2(12-3h) Now the equation is this:
5h+24-6h=21
*Simplified*
Now 5h-6h= -1h
-1h+24=21
+1h +1h
on each side.
now the equation is(remember 1h=h): 24=h+21
I think you can do it now.
Now with the cost of the hats, we can use the first equation: 3h+2s=12
h=3
3*3=9
-9 -9
2s=3
s=1.5
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
Graph this system of equations on the coordinate plane
y= -3x+3
y= 1/2x -4
Answer:
see the figure
Step-by-step explanation:
see the figure
Answer:
(2,-3)
Step-by-step explanation:
Desmos graphing calculator
Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?
Answer:
32.8
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )
89.2 + x = 122 ( subtract 89.2 from both sides )
x = 32.8
Thus the fourth number is 32.8
HELP QUICK I NEED TO TURN IT IN IN 30 mins
1 + (1 – cos θ )(1 + cos θ )( csc2 θ )
the 2 is to the power
Answer:
answer = 2
Step-by-step explanation:
1 + (1 – cos θ )(1 + cos θ )( csc^2 θ )
1 + (1 - cosθ)(1 + cosθ)(csc^2θ)
1 + (1 - cos^2θ)(csc^2θ)
1 + (sin^2)(1/sin^2)
1 + sin^2/sin^2
1 + 1
2
4600000000 in standard form
Answer:
four billion, six hundred million
Step-by-step explanation:
Henry wants to join a book-of-the-month club. The first club costs $40 to join and $10 per book. The second club costs $15 per book and has no fee to join. How many books would need to be purchased from each club for the clubs to cost the same?
Answer:
Step-by-step explanation:
For club 1 - 2 book
For club 2 - 4 books
Club 1 has a $40 fee + 2 books = $60 in total
Club 2 has a $0 fee + 4 book = $60 in total
I'm pretty sure I'm right
Answer:
There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.
Step-by-step explanation:
1st club. (cost of club) 40$ + (cost of 2 books) 20$ = 60$.
2nd club. (cost of books) 15$ x (how many books) 4 = 60$
PLEASE ANSWER ASAP
what is the slope of any line that is parallel to the line y+3=5/7(×+2)?
A. 3
B. 5/7
C. 2
D. -5/7
B) 5/7
^That's the slope :)
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
Tony's recipe for soup calls for 11/4 teaspoons of salt. He wants to use 1/2 that
amount. How much salt will he use?
Answer:
11/8
Step-by-step explanation:
Simplify 11/4 = 2 3/4
half of 2 = 1
half of 3/4 = 3/8
1 3/8 changed to an inproper fraction = 11/8
Write the slope intercept
Answer:
It would be 2x -5=y
Step-by-step explanation:
The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y
2nd try again please help
Answer:
0.8
Step-by-step explanation:
25.4-23.8=1.6
25.4+1.6=27
For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!
Answer:
0.8
Step-by-step explanation:
Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8
(a) the probability that a vampire bat would pick A (b) the probability that a vampire bat would pick C (c) the probability that a vampire bat would pick T
Answer:
See Explanation
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have that:
[tex]A = 71[/tex]
[tex]C = 121[/tex]
[tex]T = 66[/tex]
First, we calculate the total
[tex]Total = A + C + T[/tex]
[tex]Total = 71 + 121 + 66[/tex]
[tex]Total = 258[/tex]
Solving (a): Probability of A
This is calculated using:
[tex]Probability = \frac{A}{Total}[/tex]
[tex]Probability = \frac{71}{258}[/tex]
[tex]Probability = 0.275[/tex]
Solving (b): Probability of C
This is calculated using:
[tex]Probability = \frac{C}{Total}[/tex]
[tex]Probability = \frac{121}{258}[/tex]
[tex]Probability = 0.469[/tex]
Solving (b): Probability of T
This is calculated using:
[tex]Probability = \frac{T}{Total}[/tex]
[tex]Probability = \frac{66}{258}[/tex]
[tex]Probability = 0.256[/tex]
Simplify the expression
1/5v+3/10v
[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]
What is the y intercept y=-4-3/2x
Answer:
should be -4
Step-by-step explanation:
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?
Answer:
Step-by-step explanation:
Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]
From the graph attached,
A point (1, 60) lies on the line shown in graph.
At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]
[tex]=\frac{60-0}{1-0}[/tex]
= 60 miles per hour
But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.
So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.
(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])
Grace paid $54.40 for 8 outdoor pathway lights.
Travis paid $40.25 for 5 of the same lights at a different store.
Use the drop-down menus to explain who paid less per light. pls help me
if the class sizes in a school vary from 22 to 30, what is the range?
Answer:
8 im pretty sure
Step-by-step explanation:
What is the slope of the line that passes through (2,5) and (6, 7)?
Answer:
1/2
Step-by-step explanation:
Slope is the change in y over the change in x so:
(7 -5) /(6-2) = (2)/(4) = 1/2
How many solutions does this system have?
y =-3x. -9x-4y=21
one
two
an infinite number
no solution
Answer:
one or seven READ DESCRIPTION
Step-by-step explanation:
y =-3x. -9x-4y=21
-9x+12x=21
3x=21
3*7=21
if you didn't mean to do a double negative then it would be one, but otherwise it's seven
Answer:
one
Step-by-step explanation:
right on edge
what is the following sum ?
I have a radius of 35ft, what is the diameter ?
I have a radius of 15 mm, what is the diameter ?
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score?
Judy scored 45 points in the board game.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
In a board game,
Judy scored 5 points, more than twice the number of points Ann scored.
If Judy scores x points and Ann scores y points,
that means,
x = 2y + 5
x - 2y = 5. {equation 1}
There was a total of 65 points scored.
x + y = 65 {equation 2}
Subtract the equation 2 to equation 1,
we get,
-3y = -60
y = 20
Then, x = 45.
Therefore, 45 points Judy scored.
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ2
Raise to the power:
[tex](-2abx)^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]
[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️