Answer:
The solution to the system of equations be:
[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]
Step-by-step explanation:
Given the system of equation
[tex]\begin{bmatrix}-x+5y=8\\ 3x+7y=-3\end{bmatrix}[/tex]
Multiply -x+5y=8 by 3: -3x+15y=24
[tex]\begin{bmatrix}-3x+15y=24\\ 3x+7y=-3\end{bmatrix}[/tex]
Add the equations
[tex]3x+7y=-3[/tex]
[tex]+[/tex]
[tex]\underline{-3x+15y=24}[/tex]
[tex]22y=21[/tex]
solving 22y=21 for y
[tex]22y=21[/tex]
Divide both sides by 22
[tex]\frac{22y}{22}=\frac{21}{22}[/tex]
Simplify
[tex]y=\frac{21}{22}[/tex]
For -3x+15y=24 plug in y = 21/22
[tex]-3x+15\cdot \frac{21}{22}=24[/tex]
Subtract 15 · 21/22 from both sides
[tex]-3x+15\cdot \frac{21}{22}-15\cdot \frac{21}{22}=24-15\cdot \frac{21}{22}[/tex]
[tex]-3x=\frac{213}{22}[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{\frac{213}{22}}{-3}[/tex]
[tex]x=-\frac{71}{22}[/tex]
The solution to the system of equations be:
[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]
According to the Oxnard College Student Success Committee report in the previous year, we believe that 25% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class. For this year, you would like to obtain a new sample to estimate the proportiton of all Oxnard students who struggle in their classes because they don't study enough outside of the classrooms. You would like to be 99% confident that your estimate is within 1% of the true population proportion. How large of a sample size is required? Do not round mid-calculation
Answer:
sdfghj
Step-by-step explanation:
is 8.1 greater than or less than 5.1 it's math and it's 4th grade
Answer:
8.1 is greater than 5.1
Step-by-step explanation:
Answer:
8.1 is greater than 5.1
Step-by-step explanation:
there is no explanation
hope this helps. have a good day!
A drum has a diameter of 26 inches and is 15 inches deep. Find the volume of this drum.
Answer: 7964.97 in³
Step-by-step explanation:
A drum is a cylinder. Therefore, we will have to calculate the volume of a cylinder which will be:
Volume = πr²h
where π = 3.142
r = Diameter/ 2 = 26/2 = 13
h = 15
Volume = πr²h
= 3.142 × 13² × 15
= 3.142 × 169 × 15
= 7964.97 in³
a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 square inches write an equation you can use to find the width in inches
Answer:
Step-by-step explanation:
Just give me the answer
A triangle has sides with lengths of 3 feet, 6 feet, and 8 feet is it a right triangle?
Answer:
[tex]Solution,\\Longest~side(h) = 8ft.\\Perpendicular(p) = 3ft.\\Base(b) = 6ft.\\Now, \\h^2 = (8)^2 = 64sq.ft.\\p^2+b^2 = 3^2+6^2 = 9+36 = 45sq.ft.\\Since, h^2\neq p^2+b^2, ~the~triangle~is~not~a~right~triangle.[/tex]
Find the mean. Round to the nearest tenth if necessary.
37.4, 11.7, 35.4, 18.6, 5.7, 48.8, 18.9, 30, 15.1, 26.6, 35.7, 40.2
Answer:
27
Step-by-step explanation:
The actual mean is 27.008333333333, round that as you will.
Answer:
27 is the answer
Step-by-step explanation:
Took the test and got it right
Hi can someone help me out. This is due by the end of the day.
Answer:
It's called the diameter of the circle
How many 3/4s fit into 3
4 use a calculator 3/.75=4
HELP PLEASE IT IS EASY I SWEAR PLEASE HELP I SWEAR IT EASY PEASY
Answer:
the answer is 15
Step-by-step explanation:
A classroom has a presentation system that consists of four components, each of which must activate if the system is to work adequately. The first component has a reliability of 0.97, the second component has a reliability of 0.99, the third component has a reliability of 0.97, and the fourth component has a reliability of 0.93. What is the overall system reliability
Answer:
0.87
Step-by-step explanation:
According to the scenario, computation of given data are as follows,
As, each must be activated, this shows that components are in series.
So, we can calculate reliability of system by using following formula,
System reliability with components in series = System reliability 1 × System reliability 2 × System reliability 3 × System reliability 4
So, overall system reliability = 0.97 × 0.99 × 0.97 × 0.93
overall system reliability = 0.866 or 0.87
Find the Value of x. Please help. I will give you 69 points
Answer:
65°, 120°, 55°, 30°, 36°Step-by-step explanation:
Q1
2x + 50° = 180°2x = 130°x = 65°Q2
x is the sum of supplementary angles of 125° and 115°
x = 180° - 125° + 180° - 115° = 55° + 65° = 120°Q3
x = 25° + (45° - 15°) = 25° + 30° = 55°Q4
(180° - 60°) - 3x = 90° - 2x120° - 90° = 3x - 2xx = 30°Q5
2x + 3x = 180°5x = 180°x = 36°Would this be infinite solutions or no solution?
A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?
Answer:
320 pounds of 55% raisins trail mix
480 pounds of 30% raisins trail mix
Step-by-step explanation:
i did it on RSM and got it right
A bag contains 3 blue marbles, 7 red marbles, and 5
yellow marbles. If Joe picks 1 marble from the bag at
random, what is the probability that it will be blue?
Answer:
3 out of 15 I believe is the answer
Step-by-step explanation:
there are 3 blue marbles so he already has a chance out of 3, then I believe you add them all together which is 15 :) hope this helps
Convert 199º to radians. Round to 2 decimal places.
Answer:
3.47
Step-by-step explanation:
Answer: 199π/180
Step-by-step explanation:
The formula for converting degrees to radians is [tex]x[/tex]°·[tex]\frac{\pi }{180}[/tex]
In this case, that gives you [tex]\frac{199\pi }{180}[/tex]. 199 is a prime number, so this can't be simplified down any further.
Also, the formula for converting radians to degrees is just the opposite: you multiply your radian measure by [tex]\frac{180}{\pi }[/tex] to cancel out pi.
Hope this helps :)
Can someone help me im having a hard time
purple paint is made from using red paint and blue paint in the ratio 1:2
write an equation for y in terms of x to show the relationship between the amount of red paint (y) and the amount of blue paint (x)
Answer:
[tex]y = \frac{x}{2}[/tex]
Step-by-step explanation:
Given
[tex]y : x = 1 : 2[/tex]
Required
Represent as an equation
[tex]y : x = 1 : 2[/tex]
Represent as a fraction
[tex]\frac{y }{ x} = \frac{1}{ 2}[/tex]
Cross multiply
[tex]y * 2 = x*1[/tex]
Divide both sides by 2
[tex]y = \frac{x*1}{2}[/tex]
[tex]y = \frac{x}{2}[/tex]
The area of a rectangular garden is 120 square meters. The width is 4 meters longer than one-half of the length. Find the
length and the width of the garden. Use the formula, area = length • width.
Answer:
Step-by-step explanation:
“The area of a rectangular garden is 120 square meters.”
LW = 120
“The width is 4 meters longer than one-half of the length.”
W = 0.5L + 4
L = 2W-8
Substitution
(2W-8)W = 120
2W^2-8W-120 = 0
W^2 -4W-60 = 0
W = 10, -6
-6 is an extraneous solution.
W = 10 meters
L = 2W-8 = 12 meters
Describe a congruence transformation that mapsABCD to APQR.
Solve the following system of linear equations by graphing:
2x + 2y = 10
8x + 8y = 24
Answer:
Step-by-step explanation:
-8x - 8y = -20
8x + 8y = 24
0 ≠ 4
2y = -2x + 10
y = -x + 5
8y = -8x + 24
y = -x + 3
inconsistent
tan a= 12/15, a lies in quadrant 3, and cos x= -20/29, x lies in quadrant 2. find sin (a+x).
a) 345/377 b) 135/377 c) -152/377 d) 352/377
Answer:
c) -152/377
Step-by-step explanation:
yan po ang tamang sagot ko..
Pls help I’ll brainlest due ASAP
Write an expression that shows 10 *4.
What is the multiplier for a 30% decrease. *
Answer:
0.7
Step-by-step explanation:
Let the number to be decreased be x. To decrease x by 30 %, the result will be
= x - 30% * x
= x - 0.3x
= 0.7x
From above, the result is 0.7 multiplied by the number to be reduced. Hence the multiplier is 0.7
please solve and receive brain list
Answer:
-1 and -4
Step-by-step explanation:
Answer:
x = -1 y = -4
Step-by-step explanation:
6x + 2y = -14
-12x + 5y = -8
x= -1
y = -4
The length of a rectangle is 2 times it’s width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle
Answer: 72 divided by 2 is 9. So the length is 9
Step-by-step explanation:
Mori just replaced the showerhead in her bathroom. the old one used 5.75 gallons per minute of water. Her new showerhead uses 2.5 gallons per minute. how many times has much water did Mori's old showerhead use?
Answer:
3.25
Step-by-step explanation:
Find the slope of the line for the angle.
330 degrees
Solve the system of linear equations by substitution.Check your solution.
Step-by-step explanation:
x=-2
y=-1
........................
Sally is teaching a nursery rhyme to her kindergarten students. She found that 4 out of every 10 students know the rhyme. If Sally has a total of 20 students, how many students in her class know the rhyme?
Step-by-step explanation:
the answer is
[tex]= \frac{4}{10} \times 20 = 8[/tex]