Answer:
[tex] x < - \frac{11}{2} [/tex]
Step-by-step explanation:
Distribute 2 through the parentheses:
[tex]8x + 2 < 3(2x - 3)[/tex]
Distribute 3 through the parentheses:
[tex]8x + 2 < 6x - 9[/tex]
Move the variable to the left-hand side and change its sign:
[tex]8x + 2 - 6x < - 9[/tex]
Move the constant to the right-hand side and change its sign:
[tex]8x - 6x < - 9 - 2[/tex]
Collect like terms:
[tex]2x < - 9 - 2[/tex]
Calculate the difference:
[tex]2x < - 11[/tex]
Divide both sides of the inequality by 2:
[tex]x < - \frac{11}{2} [/tex]
help help help please
Answer:
A
Step-by-step explanation:
the line is going from left to right ot has a negative gradient
as it goes through (0,0) euqally it is y = -x
Quadratic equation I need help
I JUST NEED SOME HELP PLEASE!! ~0~
Find the RATIO and the EXACT VALUE of the given Tan B.
Answer:
Ratio: Tan B = 12/5
Exact value in degrees: [tex]67.38^{o}[/tex]
Step-by-step explanation:
SOH CAH TOA
Means Tan B means opposite/adjacent.
Tan B = 12/5
B = [tex]Tan^{-1} (\frac{12}{5})\\[/tex]
B = [tex]67.38^{o}[/tex]
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 1 3 π r 2 h
Answer:
Step-by-step explanation:
Can someone help me please
Answer:
its the 1st answer choice/A
Step-by-step explanation:
there is 10 people who are 25-29, and 5 people 20-24, so 10+5=15 so 15 people are younger than 30
A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9 in
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²
please help! I need to solve kt algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!
Step-by-step
=> 900=-100x+300
=> -100x+300=900
=> -100x=900–300
=> -100x=600 divide both side by -100
=> x=-6
You start with 900= -100x + 300
you want to get x by itself on a side of the equation
you can do this by adding -100x to both sides of the equation
this would make it look like 900 + 100x = -100x + 100x + 300
if you simplify, you get 900 + 100x = 300
then subtract 900 on both sides to get x by itself
you will end up with 100x = -600
you divide both sides by 100 to get x by itself and you will end up with
x = -6
if you have any questions ask me and ill answer :)
Which of the following is the equation for a circle with a radius of r and center at (h, v)?
Answer:
the correct answer is option A
Answer: Choice D
Your book may use the template [tex](x-h)^2 + (y-k)^2 = r^2[/tex], but it's the same idea. The center here is (h,k) and radius is r.
42 is greater than 24, 24 is less than 42
Answer:
Step-by-step explanation:
42 > 24
24 < 42
6. Write an equation that represents the
relationship “4 more than a number is 5"?
Answer:
4+x=5
Step-by-step explanation:
4+x=5
Please answer the pic below for Brainliest and 5 stars (If correct)
C. 17 mm and 53.5 mm
Si 4x+2x=2, el valor de x es?
Answer:
answer is 1
Step-by-step explanation:
Answer:
[tex]x = \frac{1}{3} [/tex]
Step-by-step explanation:
Recopilar términos semejantes:
[tex]6x = 2[/tex]
Divide ambos lados de la ecuación por 6:
[tex] \frac{6x}{6} = \frac{2}{6} [/tex]
Por lo tanto, la respuesta será x = 1/3
The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.
4-column table with 3 rows. First column has no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. The second column is labeled less than 40 dollars a week with entries 33, 27, 60. The third column is labeled greater than or equal to 40 dollars a week with entries 77, 3, 80. The fourth column is labeled total with entries 110, 30, 140.
Marcel converts the frequency table to a conditional relative frequency table by row.
4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0
Which value should he use for Y? Round to the nearest hundredth.
0.19
0.45
0.82
0.90
Answer:
D.) 0.90
Step-by-step explanation:
Doing the unit test review on EDG right now! :D
Wish you all luck~
Have a good day! :3
(Evidence: screenshot below!)
The value for Y to the nearest hundredth is 0.90; option D.
What is the value for Y?The value for Y is obtained from the data in the frequency table.
By solving for Y from the frequency table:
Y + Z = 0
Y + Z = 1.0
Either Y is 0 or Y is 1.
Therefore, Y is approximately 0.90 to the nearest hundredth.
Learn more about frequency table at: https://brainly.com/question/16148316
#SPJ9
Convert 3.12 mm into cm, m and km.
Step-by-step explanation:
to cm = 3.12×100 = 312
to m = 3.12×1000 = 3120
:) HOPE THIS HELPS YOU
What is x^2-24x+c
As a perfect square need this answer ASAP
Can someone check this answer before i turn it in?? don't say yes just to get points i really need to pass this
I got 3141.59 on a calculator after doublechecking but it doesn't seem right
Answer:
ya its right
Step-by-step explanation:
ASAP need help!!
vvvv
Answer:
Step-by-step explanation:
5 5 5 m²
Scores on the SAT Mathematics test (SAT-M) are believed to be Normally distributed with mean µ. The scores of a random sample of three students who recently took the exam are 550, 620, and 480. A 95% confidence interval for µ based on these data is
Answer:
The 95% confidence interval for µ based on these data is (408,692).
Step-by-step explanation:
Sample mean and standard deviation:
The first step to solve this question is finding the sample mean and standard deviaton.
[tex]\overline{x} = \frac{550+620+480}{3} = 550[/tex]
[tex]s = \sqrt{\frac{(550-550)^2+(620-550)^2+(480-550)^2}{3}} = 57.1548[/tex]
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 3 - 1 = 2
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 4.3027
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 4.3027\frac{57.1548}{\sqrt{3}} = 142[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 550 - 142 = 408
The upper end of the interval is the sample mean added to M. So it is 550 + 142 = 692
The 95% confidence interval for µ based on these data is (408,692).
Need help on this question asap I would really appreciate it please
Answer:
Volume of cube = 512 inch³
Volume of sphere = 268 inch³ (Approx.)
Volume of empty space = 244 inch³
Step-by-step explanation:
Given:
Side length of cube = 8 inches
radius of sphere = 4 inches
Find:
Volume of cube
Volume of sphere
Volume of empty space
Computation:
Volume of cube = Side³
Volume of cube = 8³
Volume of cube = 512 inch³
Volume of sphere = (4/3)πr³
Volume of sphere = (4/3)(3.14)(4)³
Volume of sphere = 268 inch³ (Approx.)
Volume of empty space = Volume of cube - Volume of sphere
Volume of empty space = 512 - 268
Volume of empty space = 244 inch³
Find one value of xxx that is a solution to the equation:
(2x+3)^2-6x-9=0(2x+3)
2
−6x−9=0left parenthesis, 2, x, plus, 3, right parenthesis, squared, minus, 6, x, minus, 9, equals, 0
x=x=x, equals
Answer:
-3/2
Step-by-step explanation:
Given the funtion
(2x+3)² - 6x+9 = 0
(2x+3)² = 6x + 9
Expand
4x²+12x+9 = 6x + 9
4x²+12x - 6x = 0
4x²+6x = 0
4x² = -6x
4x = -6
x = -6/4
x = -3/2
Hence the value of x is -3/2
The product of four and a number, decreased by seven
Answer:
32
Step-by-step explanation:
As per what is given
- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)
- equals 100, the equation formed equals 100
Form an equation;
4(x - 7) = 100
Solve using inverse operations;
4(x - 7) = 100
/4 /4
x - 7 = 25
+7 +7
x = 32
What is the value of this expression n = 5? 45/n +10
Answer:
19
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
45/5=9
9+10=19
Solve for x (geometry)
Answer:
x = -6°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
Identify and set up
x + 81 + 65° + 40° = 180°
Step 2: Solve for x
[Addition] Combine like terms: x + 186° = 180°[Subtraction Property of Equality] Subtract 186° on both sides: x = -6°Help me pls :/
15 points ig
Answer:
D. 17/7
Step-by-step explanation:
Let's make 2 3/7 into an improper fraction. We first multiply the 2 to 7 and then add the 3. So 2 x 7 = 14, 14 + 3 = 17. The denominator always stays the same. Therefore our answer is 17/7
Answer:
D:17/7
Step-by-step explanation:
2×3/7
=(7×2+3)/7
=17/7
Area of hexagon please help
[tex] \frac{ 3\sqrt{3} }{2} \times a {}^{2} \\ \\ \frac{ \sqrt{27} }{2} \times 7 {}^{2} \\ \\ \frac{ \sqrt{27} }{2} \times 49 \\ \\ = 127.31cm {}^{2} [/tex]
So Option D=127.3cm²Hope This Helps YouFind the reciprocal of the numbers below: a. 1/3 b. 4/5 c. 7
Answer:
a. 1/3 = 3 b. 4/5 = 5/4 c. 7 = 1/7
Step-by-step explanation:
Reciprocal means switching the numerator to the denominator and the denominator to the numerator. Whenever you have a whole number, there is an imaginary 1 as the denominator that is why the reciprocal of 7 is 1/7.
You have found a house that you would like to purchase. The amount of the home is $525,000. You would like to finance the home through your local credit union but they require a 8% down payment. Determine the amount needed for the down payment so that the bank will finance the home purchase.
Answer:
4200
Step-by-step explanation:
hey! 525,000%8=42=>4200
Find the area of the triangle
Answer:
Step-by-step explanation:
area of triangle=base*height/2
=8*3/2
=24/2
=12 m^2
Select all the expressions which are equivalent to –43
4
3
p – 25
2
5
.
–43
4
3
p + 25
2
5
–25
2
5
– 43
4
3
p
43
4
3
p – 25
2
5
–43
4
3
p + (–25
2
5
)
25
2
5
+ 43
4
3
p
Answer:
–43p + (–25) is Equivalent to –43p – 25.
Step-by-step explanation:
Needed: 25 – 43p , 25 – 4 , p 3. –25p –43 , –43p + (–25)
John needs 6 cups of ice cream to make 4 servings of milkshake. How many servings can John make using 3 gallons of ice cream?
Answer:
24
Step-by-step explanation:
-------- 24 --------
Hope that helps