Answer:
x + 2/x = 9/2
multiply through by x
x2 + 2 = (9/2)x
multiply through by 2
2x2 + 4 = 9x
2x2 - 9x + 4 = 0
We can factor by grouping. 2(4) = 8 ...
taken from coefficient of square term and the constant ...
Factors of 8 that add to -9 are (-8)(-1):
Replace -9x with -8x - x
2x2 - 8x - x + 4 = 0
(2x2 - 8x) - (x - 4) = 0
2x(x - 4) - (x-4) = 0
(2x-1)(x-4) = 0
2x-1 = 0 and x = 1/2
OR
x-4 = 0 and x = 4
Your two answers are {1/2, 4}
Please mark brainliest for further answer :)The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state and to see if they differed from the national average. Click on the datafile logo to reference the data.
A. Formulate hypotheses that can be used to determine whether the population mean annual administrator salaries in Ohio differ from the national mean of $90,000.
B. The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?
C. At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?
D. Repeat the preceding hypothesis test using the critical value approach?
Salary Data
77600
76000
90700
97200
90700
101800
78700
81300
84200
97600
77500
75700
89400
84300
78700
84600
87700
103400
83800
101300
94700
69200
95400
61500
68800
HELP ME OUT PLEASE URGENT
Which of the following expressions had a constant of 6 and a coefficient of 2/3?
Answer:
The answer is d, 2/3y-6
Step-by-step explanation:
Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
5
Step-by-step explanation:
HOPE THIS HELPS YOU!
brainliest?
whats the ansewr to 4/7--3/7
Answer:
1
Step-by-step explanation:
4-3=1 denominator never changes may i be marked brainliest?
PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME
In a park, the ratio of adults to children is 11 to 9. If there are 320 people in the park, how many children are there?
Answer:
144
Step-by-step explanation:
320 ÷ 20 = 16
adults : children
11 : 9
9×16 = 144
True or false
A sample space can be written as an organized list, a table or a tree diagram.
The courtyard outside East Middle School is in the shape of a rectangle and half-circle.
What is the approximate area of the courtyard?
Answer:
The correct option is the third one counting from the top. (5892 m^2)
Step-by-step explanation:
First, we need to remember that:
For a rectangle of length L and width W, the area is:
A = L*W
For a circle of diameter D, the area is:
A = pi*(D/2)^2
Where pi = 3.14
In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.
In the image, we can see a rectangle of length L = 100m and width W = 50m
Then the area of the rectangle is:
A = 100m*50m = 5000m^2
And we can see that for the half-circle the diameter is D = 50m
Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:
A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2
If we add these two areas we get:
Total area = 5000m^2 + 981.25 m^2 = 5981.25 m^2
If we round it up, we get:
Total area = 5982 m^2
The correct option is the third one counting from the top.
A cube has a surface area of 54cm2. What is the volume of the cube?
Answer:
27 cm³
Step-by-step explanation:
A = 6 a²
V = a³
V=6A3/2
36=6·543/2
36≈27cm³
Hope this helps! Pls mark brainliest
please help me with this asap
Answer:
Upper left is 9, upper right is 9, lower left is 21
Step-by-step explanation:
They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.
They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.
They tell us there are 39 birds total.
39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.
Make sense? lmk if you have questions
What’s the answer to this
Answer:
D: 39.71 pi m cubed
Step-by-step explanation:
To find the volume of a cylinder, you must use the equation V=pi times the radius squared times the height.
For this problem, the radius is 1.9 and the height is 11, and this gives you 124.75 which divided by pi, is rounded to 39.71Can the sides of a triangle have lengths 8, 17, and 18?
Answer:
Step-by-step explanation:
Tak
2, 1, 1/2, 1/4 which number should come next
Two sides of an isosceles triangle are 4 and 8. Which of the following choices could be the measure of the third side?
A. 10
B. 8
C. 6
D. 4
Answer:
8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.
Step-by-step explanation:
The measure of the third side of an isosceles triangle is 8 units.
What is an isosceles triangle?An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For the given situation,
The sides of an isosceles triangle are 4 and 8.
In isosceles triangle, two sides have equal length and the base should be less.
From the measurements given, the base could be 4 units and the third side is same as 8 units.
Hence we can conclude that the measure of the third side of an isosceles triangle is 8 units.
Learn more about an isosceles triangle here
https://brainly.com/question/12951731
#SPJ2
Please help me (>^ <)
-Solving Equations with variables on both sides
Answer:
1) x = -1
2) x = 11
3) x = -3
4) x = -14
5) x = -7
6) x = 5
7) x = 12
8) x = -4
Step-by-step explanation:
use the photomath app
Which is the graph of g(x)?
Answer: A because its always A
Step-by-step explanation:
find the missing side.
It says on image below I think
Answer:C
Step-by-step explanation:
Answer: bro i cant see it can you make it lighter
Step-by-step explanation:
What are m21 and m_2?
Answer:
<1 = 35degrees
<2 = 30degrees
Step-by-step explanation:
Using the theorem that the sum of external angle is equal to sum of interior angle
Considering the smaller triangle
Exterior angle = 115 degrees
Sum of interior = <1 + 80
Equating both
<1 + 80 = 115
<1 = 115 - 80
<1 = 35degrees
For the big rectangle
Exterior angle = 115 degrees
Sum of interior = <2 + 85
Equating both
<2 + 85 = 115
<2 = 115 - 85
<2 = 30degrees
number of side number of triangle sum of the measure of the angles
Answer:
Quadrilateral
#sides = 4
#∆ = 4-2 =2
sum= n(4-2)180° = 360°
pentagon
#sides =5
#∆ = 5-2 = 3
sum = n = (5-2)180° = 540°
Octagon
#sides = 8
#∆= 8-2 = 6
sum = n = (8 - 2)180° = 1080°
Nonagon
#sides =9
#∆ =9-2 = 7
sum = n=(9-2)180° = 1260°
Heptagon
#sides= 7
#∆= 7-2 = 5
sum = n= (7-2)180° = 900°
Aquestion that can be answered by
collecting data that has variability,
You need to give more info
Help!
Find the measures of the indicated angle in the parallelogram
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent
Answer:
The percentage in mark up is 503.56%.
Step-by-step explanation:
The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.
In this question:
Cost: 1.49
Change: 8.99 - 1.49 = 7.5
Percentage change:
(7.5*100%)/1.49 = 503.56%.
The percentage in mark up is 503.56%.
The library of a contemporary elementary school is circular. The floor
plan includes sectors reserved for science materials, literary materials,
reference materials, and so on. Find the area of the reference section
excluding its storage area.
The area of the reference section excluding its storage area is
(Round to the nearest hundredth as needed.)
Answer:
The area of the reference section excluding its storage area is approximately 157.78 square feet.
Step-by-step explanation:
The area of the reference section excluding its storage area ([tex]A[/tex]), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:
[tex]A = \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}} \times \pi \times (37.5\,ft)^{2} - \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}}\times \pi \times (12\,ft)^{2}[/tex]
[tex]A \approx 157.781\,ft^{2}[/tex]
The area of the reference section excluding its storage area is approximately 157.78 square feet.
In the figure below, what is the measure of _x?
30
х
O A. 70°
OB. 300
o C. 60°
D. 90°
Answer:
50
Step-by-step explanation:
The sum of angle on a straight line is 180degres, hence;
X+3+x+20+x+7 = 180
3x+30=180
3x=180-30
3x = 150
X = 150/3
x = 50
Hence the value of x is 50
Can someone solve for x? And maybe explain it in a simple way?
Answer:
x=10
Step-by-step explanation:
Because of the two parallel lines, the ratio between the sides must be the same. Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio. Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too. If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.
12/18=x/(x+5)
then cross multiply and solve
12(x+5)=18x
12x+60=18x
60=18x-12x
60=6x
10=x
Answer:
x=10
Step-by-step explanation:
You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.
[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]
trigonometry
y=? x=?
Answer:
y=9cm
x=90°
Step-by-step explanation:
y=9cm(being perpendicular)
x=90°=being perpendicular)
evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2
Answer:
5. is the answer
Step-by-step explanation:
Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5
Answer:
1/3
Step-by-step explanation:
p=1/6+1/6
=2/6
=1/3