Step-by-step explanation:
Solve the inequality:
[tex]3x - 11 > 7x + 9[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]3x - 7x > 9 + 11[/tex]
Combine like terms:
[tex] - 4x > 9 + 11[/tex]
Calculate the sum or difference:
[tex] - 4x > 20[/tex]
Reduce the greatest common factor for both sides of the inequality:
[tex] - x > 5[/tex]
Divide both sides of the inequality by the coefficient of variable:
[tex]x < - 5[/tex]
2: plot:
[tex]x < - 5[/tex]
Graph on number line:
The solution inequality that represents the solution of the given expression inequality is → x < - 5.
What is inequality? Differentiate between equation and expression? expression inequality : An inequality is used to make unequal comparisons between two expressions or numbers.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the inequality as follows -
3x – 11 > 7x + 9
The inequality is given as -
3x – 11 > 7x + 9
3x > 7x + 9 + 11
3x - 7x > 9 + 11
- 4x > 20
x < - 5
Therefore, the solution inequality that represents the solution of the given expression inequality is → x < - 5.
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Help please I need this done
Step-by-step explanation:
the answer is in the above image
Answer:
61°
Step-by-step explanation:
(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD
x°+18°=4x°-15°
18°+15°=4x°-x°
33°=3x°
33°/3°=3x°/3°
11=x
angle ABD
90°-(x+18)°. the sides of a rectangle meet at 90°
90°-(11+18)°
90°-(29)°
90°-29°
61°
Hannah has a part-time job making holiday wreaths. This week, she made x medium wreaths, twice as many large wreaths as medium wreaths, and 12 as many small wreaths as medium wreaths. In terms of x, how many wreaths did Hannah make this week?
Answer:
Total number of wreaths = 3.5 wreaths
Step-by-step explanation:
Given:
Number of medium wreaths = x
Number of larger wreaths = 2[Number of medium wreaths]
Number of small wreaths = [1/2][Number of medium wreaths]
Find:
Total number of wreaths
Computation:
Total number of wreaths = Number of medium wreaths + Number of large wreaths + Number of small wreaths
Total number of wreaths = Number of medium wreaths + 2[Number of medium wreaths] + [1/2][Number of medium wreaths]
Total number of wreaths = x + 2x + 0.5x
Total number of wreaths = 3.5 wreaths
A rectangle has an area of 117 cm^2 and width of 9 cm. Find its lenght
Answer:
13cm
Step-by-step explanation:
if the area is 117 then to find out the missing length, you divide 117 by 9 which gets you 13.
to check its correct, 13 x 9 = 117cm^2
In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blue?
Answer:
5/8
Step-by-step explanation:
SUM OF RATIOS = 5 + 3 = 8
fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8
A trapezoid has 39.2 yards base and 10.8 yards base, as well as 38.5 yards height. What is the area?
Answer:
962.5 yd²
Step-by-step explanation:
The formula for a trapezoid is:
(a + b) ÷ 2 x h
Where a & b are the two side lengths and h is height.
Use the formula with the given measurements:
(39.2 + 10.8) ÷ 2 x 38.5 = 962.5
Area is measured in square yards, in this case.
FINAL ANSWER:
The area of the trapezoid is 962.5 yd²
Hope this helps!
-SpaceMarsh
Which of the values is the best estimate of the correlation coefficient for the line of best fit shown in the scatter plot?
0.9
0.4
-0.4
0.9
The correlation coefficient that would best describe the line of best fit shown in the scatter plot is 0.9 which is a weak positive correlation.
What is correlation?The statistical concept of correlation describes how closely two variables move in tandem with one another.
We can see that Slope is not near to horizontal, thus Correlation Coefficient will be greater than 0.5
Since the value of X axis is get increased, then the value of Y axis is also increasing.
According to the graph is scattered in such a way that, if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases, then the relation is positive correlation.
Therefore, the given scatter plot shows positive weak correlation with value 0.9 .
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Simplify the expression ( a^3/2)^3
Answer:
(a^9/8)
Step-by-step explanation:
(a/b)^n = (a^n/b^n)
I will give BRAINLIEST to the correct answer
Find the measure of angle 3
Answer:
2X+100 =8X+208
8X-2X=100-208
6X=-108
X=-18
8X+208=(8×-18)+208
=-144+208
=64
ANGLE 3=180-64
=116
Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking
Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees
Please help!! ASAP
find the volume of the cone. round to the nearest tenth
7in
4in
[ ? ]in3
Answer:
The answer is 117.3 [tex]in^{3}[/tex].
Step-by-step explanation:
To solve for the volume of the cone, use the cone volume formula, which is V = [tex]\frac{1}{3} \pi r^{2} h[/tex].
Next, plug in the information given from the problem, and the formula will look like V = [tex]\frac{1}{3} (\pi) (4 in^{2}) (7 in)[/tex].
Then, solve the equation, and the answer will be 117.3 [tex]in^{3}[/tex].
Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.
What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.
0.09
0.13
0.25
0.32
Answer:
It's the second option, 0.13.
Step-by-step explanation:
Step 1 : Find how many marbles there are in the bag all together.
4 + 4 + 12 = 20 marbles all together
Step 2 : Find what the probability of choosing a red marble is first.
4 red marbles out of 20 marbles =
[tex]P_{1} = \frac{4}{20}[/tex]
Step 3 : Find the probability of choosing a yellow marble now.
Since one red marble was already taken, there are less marbles in total.
Instead of 20 marbles now there are only 19 marbles.
There are 12 yellow marbles out of 19 marbles =
[tex]P_{2} = \frac{12}{19}[/tex]
Step 4 : To get the probability of both of these events happening, we multiply the 2 probabilities.
[tex]\frac{4}{20}[/tex] · [tex]\frac{12}{19}[/tex] = [tex]\frac{12}{95}[/tex]
Step 5 : Express your answer as a decimal.
12 ÷ 95 = 0.12631578947
Rounded to the nearest hundreth that's 0.13.
It's the second option, 0.13.
Hope this helps, please mark brainliest if possible. Have a nice day. :)
The probability of choosing a red and then a yellow marble is 0.13.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
It is given that Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.
That means that there are a total of 4+4+12=20 marbles.
Now to find the probability that she pulled out a red marble first and a yellow marble second.
The probability of choosing a red marble out of 20 marbles is:
P = 4/ 20
The probability of choosing a yellow marble on the second draw is:
P = 12/19
Hence, the probability of choosing a red and then a yellow marble is:
P = 4/ 20 x 12/19
P = 0.13
Hence, the probability of choosing a red and then a yellow marble is 0.13.
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Solve the following question. *
Answer:
The mean of x and y is equal to t.
Step-by-step explanation:
Given that,
The mean of t and t+2 is x.
The mean of t and t-2 is y.
i.e.
[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]
and
[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]
The mean of x and y is :
[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]
Hence, the mean of x and y is equal to t.
Drag the tiles to the correct boxes to complete the pair.
Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x)= f(x)/g(x).
f(x) = x2 - 9, and g(x) = x - 3
f(x) = x2 - 4x + 3, and g(x)= x - 3
f(x) = x2 + 4x - 5, and g(x) = x - 1
f(x) = x2 - 16, and g(x) = x - 4
1.h(x) = x + 5—>
2.h(x) = x + 3—>
3.h(x) = x+4—>
4.h(x) = x-1—>
Answer:
1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1
2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3
3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4
4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3
Step-by-step explanation:
A) f(x) = x² - 9, and g(x) = x - 3
We are told that; h(x) = f(x)/g(x)
f(x) = x² - 9 can be factorized to;
f(x) = (x + 3)(x - 3)
Thus; h(x) = (x + 3)(x - 3)/(x - 3)
(x - 3) will cancel out to give;
h(x) = x + 3
B) f(x) = x² - 4x + 3, and g(x)= x - 3
x² - 4x + 3 can be factorized as;
(x - 1)(x - 3)
Thus; f(x) = (x - 1)(x - 3)
h(x) = (x - 1)(x - 3)/(x - 3)
h(x) = x - 1
C) f(x) = x² + 4x - 5, and g(x) = x - 1
x² + 4x - 5 can be factorized as;
(x - 1)(x + 5)
Thus; f(x) = (x - 1)(x + 5)
h(x) = (x - 1)(x + 5)/(x - 1)
h(x) = x + 5
D) f(x) = x² - 16, and g(x) = x - 4
x² - 16 can be expressed as;
(x + 4)(x - 4)
Thus; f(x) = (x + 4)(x - 4)
h(x) = (x + 4)(x - 4)/(x - 4)
h(x) = x + 4
Find the equation of a line perpendicular to 2x-y+6=0 through the point (0, -2)
Step-by-step explanation:
Let's first rearrange so it's easier to look at: y = 2x +6
To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:
m= -1/2
Next plug in the point (0, -2) into the point-slope equation of a line:
[tex]y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\ [/tex]
y-(-2) = -1/2 (x-0)
y + 2 = -1/2x
y = -1/2x - 2
Therefore the equation is y = -1/2x - 2
Can anyone help me out?
Answer:
55° because 2and 6 are corresponding angles (they are equal)
6 and 8 are vertically opposite angles (they are equal)
Step-by-step explanation:
hope this is helpful
24 shared between 6 students equals how many each
Answer:
4
Step-by-step explanation:
24/6=4
plz answer my question:-
if U= {0,1,2,3,4..................20}, A= {1,3,5,7,9,11,13,15,17,19} B= {0,2,4,6,8,10,12,14,16,18} then prove that A-B = A∩B
Answer:
Step-by-step explanation:
A = {1, 3 , 5 , 7, 9 , 11 , 13 , 15 , 17 , 19}
B= { 0, 2 , 4 , 6 , 8 , 10, 12, 14, 16, 18 }
A - B means everything in A and not in B
A - B = { 1, 3 , 5 , 7 , 9 , 11 , 13, 15, 17 , 19 }
A ∩ B means elements common in A and B
A ∩ B = ∅
A - B ≠ A ∩ B
please help asap. 0 0 0 0 0
Answer:
smaller x =5
largee x =13
vertex of the parabola = (-7,-4)
A student runs 100 meters in 11 seconds. What is the speed of the student?
speed = distance over time ; 1 mile = 1609 meters
Answer:
9.09 meters per second
Step-by-step explanation:
100 divided by 11= 9.09 meters per second.
Mrs .Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each ,how many bottles can she buy?
Step-by-step explanation:
hear is your answer with calculation
What is the y-intercept for y = 5x^2 + 2x -2?
Answer: (0, -2) or -2
Step-by-step explanation:
Sub in 0 for x since at the y intercept x is 0
[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]
Unit 1 Review
tatus
view
A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.
Answer:
403
Step-by-step explanation:
divide 2.75 and 1,1109 and you will get your answer
Please help I am confused. (30 points)
Module 2: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Triangle ABC: A(0, -1), B(0, 3) C(-3, 3) is transformed to triangle A'B'C': A'(5,0) B'(2,4) C'(5,4). Is this transformation a rigid motion? Explain how you know whether it is a rigid motion or not.
E)6,2 is la reposta espero te sirva Friends
Step-by-step explanation:
tanks por los points
can someone help me here
Answer:
1.
Step-by-step explanation:
1. sin 241 = sin(61 + π) = -sin61 = -t^(1/2)
2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)
3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)
4. tan (x), x do not equal to (π/2 +or- kπ)
x do not equal to 90,270。
Can someone help me i keep getting different answer!!
Answer:
The second option: 3 (6 - 5n)/20n
Step-by-step explanation:
Make sure all fractions have a common denominator:
Step 1. Find a common multiple between all three denominators
5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20
Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).
1/5n × 4/4 = 4/20n
3/4 × 5n/5n = 15n/20n
7/10n × 2/2 = 14/20n
Your fractions now all have a common denominator of 20n.
Rewrite the equation using the new fractions:
4/20n - 15n/20n + 14/20n
Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.
(4 - 15n + 14)/20n
Combine like terms:
(18 - 15n)/20n
Factor out any numbers possible:
3(6 - 5n)/20n
Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.
All i need is the answer and any other information, i will rate give thanks, and maybe a brainliest. Help quickly!!!
Answer:
4 and 3/4
Step-by-step explanation:
Multiplying 3/4 times 5 days will give you 3.75 hours (or 3 and 3/4ths)
1/2 times 2 days will give you one hour
adding these together will give you 4.75 or 4 and 3/4ths
Answer:
C
Step-by-step explanation:
3/4 * 5 + 1/2 * 2 = 15/4 + 1 = (15+4)/4 = 19/4 = 4.75 = 4 3/4
On a math exam, Joel had a score of 90, which was exactly 2 standard deviations above the mean. The standard deviation for the test is 3.
Answer:
84
Step-by-step explanation:
Score = 90
Standard deviation = 3
Score = mean + 2(standard deviation)
90 = mean + 2(3)
90 = mean + 6
Mean = 90 - 6
Mean = 84
4. Is y = 6 a linear equation? Explain.
Step-by-step explanation:
yea!!!!
The equation y = x is linear and m = 1 and b = 0. The equation y = 6 is linear with m = 0 and b = 6 (it is graphically represented by a horizontal line).
Which of the following has the largest y-intercept?
Answer:
I would say 2 because if you go by absolute value it is the largest.
The basketball team did not record how many baskets each player made during the last game. Zulie remembers that she made three
times as many baskets as Aileen. Melody knows that she made four more baskets than Aileen. Zoe thinks that she made 3 fewer baskets than Aileen.
Abigail is sure that she made the same number of baskets as Zoe. Altogether the five players made 82 baskets. How many baskets did each player
make?
Answer:
There is a mistake in the question. x results in a decimal answer, which is not possible for number of hoops.
Step-by-step explanation:
Aileen: x
Zulie: 3x
Melody: 4 + x
Zoe: x - 3
Abigail: x - 3
82 = (x) + (3x) + (4+x) + (x-3) + (x-3)
Combine Like Terms
x + 3x + x + x + x = 7x
4 - 3 - 3 = -2
7x - 2 = 82
7x = 80
x results in a decimal answer, which is not possible for number of hoops.
Solve for x in the equation
Answer:
x = -1 ± √17
Step-by-step explanation:
x² + 2x + 1 = 17
Subtract 1 form both sides
x² + 2x = 16
complete the square using half the x coefficent, 1) as the complete the square term
(x + 1)² = 16 + 1²
(x + 1)² = 17
Take the square root of both sides
x + 1 = ±√17
Subtract 1 from bot sides
x = -1 ± √17
Answer:
correct one is second option
Step-by-step explanation:
do by applying quadratic formula