Answer:
[tex] b \le -6 [/tex]
Step-by-step explanation:
[tex] -1.2b - 5.3 \ge 1.9 [/tex]
Add 5.3 to both sides of the inequality.
[tex] -1.2b - 5.3 + 5.3 \ge 1.9 + 5.3 [/tex]
[tex] -1.2b \ge 7.2 [/tex]
Divide both sides by -1.2. When you multiply or divide both sides of an inequality by a negative number, the inequality sign changes direction. In this case, the "greater than or equal to" sign changes to a "less than or equal to" sign.
[tex] \dfrac{-1.2b}{-1.2} \le \dfrac{7.2}{-1.2} [/tex]
[tex] b \le -6 [/tex]
The solution set of the given inequality is {-6, -7, -8, -9, -10,......}.
The given inequality is -1.2b-5.3≥1.9.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The solution of given inequality can be solved as follows:
Add 5.3 to both side of the inequality, we get
-1.2b-5.3+5.3≥1.9+5.3
⇒ -1.2b≥7.2
Divide -1.2 to both side of the inequality, we get
-1.2b/(-1.2) ≤ 7.2/(-1.2)
⇒ b ≤ -6
So, solution set = {-6, -7, -8, -9, -10,......}
Therefore, the solution set of the given inequality is {-6, -7, -8, -9, -10,......}.
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Find u -2v given u = (-2, 5) and v = 6i -4j
A. U - 2v = -14i +13j
B. U - 2v = -10i + 13j
C. U - 2v = 4i + j
D. U - 2v = 10i - 3j
Answer:
A. U - 2v = -14i +13j
Step-by-step explanation:
If u = (-2, 5) and v = 6i -4j
Then 2v = 2*(6i-4j) = 12i-8j
u-2v = -2i +5j - (6i -4j)
Distribute the minus sign
-2i +5j -6i+4j
-2i +5j
-12i + 8j
---------------
-14i +13j
Answer:
1.) d
2.) c
3.) a
Step-by-step explanation:
Is it possible to draw an isosceles right triangle with side lengths of 15,20,25? Explain.
Answer:
NO
Step-by-step explanation:
The rule for Isosceles Triangle is that two of the sides (leg) must be congruent (have the same meaurement), while the base can be larger or smaller.
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Which expression is equivalent to the following complex fraction? X+5/x+2-x+1/x^2+2x
Answer:
Final answer will be the choice which matches best with expression
[tex]\frac{x^2+4x-1}{x\left(x+2\right)}[/tex] or
[tex]\frac{x^2+4x-1}{x^2+2x}[/tex]
Step-by-step explanation:
Given expression is:
[tex]\frac{\left(x+5\right)}{\left(x+2\right)}-\frac{\left(x+1\right)}{\left(x^2+2x\right)}[/tex]
We begin by factoring denominators:
[tex]=\frac{\left(x+5\right)}{\left(x+2\right)}-\frac{\left(x+1\right)}{x\left(x+2\right)}[/tex]
Multiply and divide first term by (x) to make denominators equal.
[tex]=\frac{x\left(x+5\right)}{x\left(x+2\right)}-\frac{\left(x+1\right)}{x\left(x+2\right)}[/tex]
Since denominators are equal so we can combine numerators.
[tex]=\frac{x\left(x+5\right)-\left(x+1\right)}{x\left(x+2\right)}[/tex]
Now simplify
[tex]=\frac{x^2+5x-x-1}{x\left(x+2\right)}[/tex]
[tex]=\frac{x^2+4x-1}{x\left(x+2\right)}[/tex]
[tex]=\frac{x^2+4x-1}{x^2+2x}[/tex]
Hence final answer will be the choice which matches best with expression
[tex]\frac{x^2+4x-1}{x\left(x+2\right)}[/tex] or
[tex]\frac{x^2+4x-1}{x^2+2x}[/tex]
Can 9 be expressed as a fraction?
Answer:
The simplest way to write 9 as a fraction is 9/1. Any number divided by 1 is still that number, dividing an integer by 1 does nothing to its value. So using 1 as a denominator in a fraction allows an integer to remain the same, but you can then work it in fraction form
Step-by-step explanation:
Answer:
[tex]\frac{9}{1}[/tex]
Step-by-step explanation:
Yes the following number 9 can be expressed as a fraction Referring to the fact it is a whole number you must put a 1 below it in the fraction form as follows [tex]\frac{9}{1}[/tex]
If x=−5 and y=4, evaluate the following expression:2(y−3xy)
The value of the expression 2(y-3xy) when x = -5 and y = 4 is 128.
Explanation:To evaluate the expression 2(y-3xy) given that x = -5 and y = 4, we substitute the values of x and y into the expression.
2(y-3xy) = 2(4-3(-5)(4)) = 2(4+60) = 2(64) = 128
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If you apply the changes below to the linear parent function, F(x)=x, what is the equation of the new function? vertically compress by 1/4 flip over the y-axis
Final answer:
The new function after applying the given transformations to the linear parent function f(x) = x, results in f(x) = -1/4x, representing a combined vertical compression and reflection about the y-axis.
Explanation:
Starting with the linear parent function f(x) = x, we need to apply two transformations: a vertical compression by 1/4 and then a reflection over the y-axis. Applying a vertical compression by 1/4 means we multiply the output by 1/4, resulting in f(x) = (1/4)x.
To reflect the function across the y-axis, we replace x with -x, which gives us the new function f(x) = (1/4)(-x) or, simplified, f(x) = -1/4x. Therefore, the equation of the transformed function is f(x) = -1/4x.
Measurement of angle 1
Answer:
55 degrees
Step-by-step explanation:
Given that a circle and inside two chords with same arc length.
We are to find the angle between the two chords.
Given that two arcs subtend angle 125 degrees at the centre.
Let us join the two ends of chords to make the figure as a triangle inside a circle.
The triangle is isosceles as two arcs and hence chords are equal.
By central angle theorem we have the two equal angles as 1/2 (125) = 62.5
Hence we have a triangle with two equal angles 62.5 and another angle 1.
By triangle sum of angles theorem
angle 1+62.5+62.5 = 180
Hence angle A = 180-62.5-62.5 = 55 degrees.
Sarah had 12 free throw attempts during a game and made at least 75% of the free throws. What is the greatest number of free throws Sarah could have missed during the game.
Answer:
3
Step-by-step explanation:
25 percent of 12 is 3
Answer:
She missed 3 free throws.Step-by-step explanation:
According to the problem, Sarah's percentage of successful free throws is 75%, this means that she failed a 25% of the total. If the total free throws are 12, then:
[tex]12(0.25)=3[/tex]
(Remember that, 25% is divided by 100, to have the decimal expression of this percentage)
Therefore, Sarah missed 3 free throws during the game.
Jesse played two days of golf. On the second day he got a score of 6 below par or -6. His total score for the two days was 0 above par or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Answer:
0 = -6 + x
Step-by-step explanation:
x = Day 1 Scores
The equation I stated above represents what he scored the second day plus whatever he scored the first day to equal zero.
Hope This Helps :)
Answer:
0 = -6 + x
Step-by-step explanation:
The sum of two numbers is 13 two times the first number minus three times the second number is 1. If you let x stand for the first number and y for the second number what are the two numbers
Based on the latest census there are 9860 students in a population of 62400 people. What percent of the total population is students?
Answer: 15.80%
Step-by-step explanation:
Given: Total population=62400
The total number of students=9860
To find the percent of the total population is students, we need to divide total population by total number of students and then multiply with 100, we get
The percent of the total population is students=[tex]\frac{9860}{62400}\times100[/tex]
[tex]=\frac{9860}{624}\\=15.80\%[/tex]
Hence, the percent of the total population is students is 15.80%.
Final answer:
To calculate the percentage of the total population that are students, divide the number of students (9860) by the total population (62400) and multiply by 100, resulting in approximately 15.8%.
Explanation:
To find the percentage of the population that are students, we use a simple formula where we divide the number of students by the total population and then multiply the result by 100. Applying this to the given numbers:
Percentage of students = (Number of Students / Total Population) × 100
Using the numbers provided:
Percentage of students = (9860 / 62400) × 100
Percentage of students = 0.15801282 × 100
Percentage of students = 15.801282%
Therefore, approximately 15.8% of the total population is students.
If the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs” what is the alternate hypothesis?
Answer:
“The true mean weight of the piglets is at most 39lbs”would be the alternate hypothesis.
Step-by-step explanation:
Given that the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”
We have to find the alternate hypothesis.
In hypothesis testing, alternate is the opposite of null hypothesis. If null hypothesis supports one statement alternate hypothesis opposes it. In other words, alternate hypothesis would be the negative of the claim of null hypothesis.
Here the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”
i.e H0: [tex]x bar\geq 39 lbs[/tex]
So alternate hypothesis
Ha: [tex]x bar\leq 39 lbs[/tex]
6v *2 + 4v*2 please solve this equation
Answer:
10v²
Step-by-step explanation:
6v² + 4v² =
10v²
at a wonderful water park, the water trough ride $2.75 per ride. if you have $15, then how many times could you ride
Answer:
5 times
Step-by-step explanation:
Since it is 2.75 dollars per ride if you multiply 2.75 times 5 you get $13.75 and you cant add anymore.
A recipe for beef stew requires 1 and 3/4th pounds of meat.You are making 6 and 1/2 batches of the recipe. how much meat do you need?
Answer:
11.375 pounds
Step-by-step explanation:
1.75 * 6.5 = 11.375
11 and 3/8 pounds of meat are required in total.
The student is asking a multiplication problem that involves fractions. To find the amount of meat needed, we multiply the amount of meat required for one batch by the number of batches.
Step-by-Step Calculation
First, we must convert the fractions into improper fractions to simplify calculation. The recipe requires 1 and 3/4 pounds of meat, which is
7/4 pounds (since 1 pound is 4/4 pounds, we add 3/4 pounds to get 7/4 pounds).
Next, the number of batches is 6 and 1/2, which as an improper fraction is 13/2 batches.
To find the total amount of meat required, we multiply the pounds per batch by the number of batches: (7/4) pounds x (13/2) batches = (7/4) x (13/2) = (7 x 13) / (4 x 2) = 91/8 pounds.
Finally, convert 91/8 pounds to a mixed number: 11 and 3/8 pounds of meat are required in total.
If x=-2 is a solution to the equation f(x) = g(x) which of these statements must be true?
A f and g intersect at -2
B f and g intersect a x=2
C f and g intersect the x-axis at -2
D f and g intersect the y-axis at -2
If choice A says the two functions intersect at x = -2, then it would be the correct answer. Though it seems the "x=" part is left off. I'm not sure if this is intentional, or a typo.
The correct option is A) f and g intersect at x = -2
Step-by-step explanation:
Given :
x = -2 is a solution to the equation f(x) = g(x).
Solution :
x = -2 must be an intersection point of the equations f(x) and g(x) because
f(x) = g(x). And the point x = -2 satisfy both the equations.
Therefore, the correct option is A) f and g intersect at x = -2.
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Sal solves the following word problem: You have 50 ounces of a 25% saline solution .How many ounces of 10% saline solution must you add to make a solution that is 15% saline ?
4. Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground.
Find the ground distance from Charlie to the plane. Show how you know.

check the picture below.
make sure your calculator is in Degree mode.
now, Charlie's eyes are 5.2' from the ground, however the distance from his eyes over the horizontal and the ground over the horizontal, is the same, so taking the tan(32°) at his eyes level will give that horizontal distance.
A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat? A. 9,442 B. 3,442 C. 4,442 D. No one stood; there were enough seats
Answer:
The answer is B.
Step-by-step explanation:
So, there are 46,000 seats for a baseball game and 49,442 attended. You need to subtract 46,000 from 49,442 to get the answer that is 3,442.
I need to know these asap
Answer: (-3, -5)
Step-by-step explanation:
-6x + y = 13
6x + 3y = -33
4y = -20
÷4 ÷4
y = -5
6x + 3y = -33
6x + 3(-5) = -33
6x - 15 = -33
6x = -18
x = -3
*********************************************************************************
Answer: ([tex]\frac{1}{3}[/tex], 2)
Step-by-step explanation:
9x + y = 5 → 1(9x + y = 5) → 9x + y = 5
3x - 3y = -5 → -3(3x - 3y = -5) → -9x + 9y = 15
10y = 20
÷10 ÷10
y = 2
9x + y = 5
9x + (2) = 5
9x = 3
x = [tex]\frac{1}{3}[/tex]
Cube A has a volume of 125 cubic inches. The edge lengths of cube B measure 4.8 inches. Which cube is larger and why?
Answer: Cube A is larger. This is because volume is found by multiplying length × width × height. The length, width, and height of a cube are ALWAYS equal. Therefore if cube B has a length of 4.8 inches it also has a height of 4.8 inches and a width of 4.8 inches. To find its volume multiply 4.8×4.8×4.8 this will give you 110.592 cubic inches. This means cube A is larger.
Cube A is bigger because of bigger volume.
Given that;Volume of cube A = 125 cubic inches
Side of cube B = 4.8 inches
Find:Which cube is big
Computation:Volume of cube = Side³
Volume of cube B = 4.8³
Volume of cube B = 110.592 cubic inches
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Pamela is 13 years younger than jiri. The sum of their ages is 41. What is jiri’s age?
Answer:
27
Step-by-step explanation:
Pamela is 13 years younger than Jiri and the sum of their ages is 41, therefore (x=Jiri's age) (x-13) + x = 41) 2x-13=41 x=14. Pamela is 14 and Jiri is 27
2 to the 6 th power divided by 4 to the 2 nd power
Hi there!
Lets first put the question into equation format. It will look like this,
2^6 ÷ 4^2
"^" means "raised to a power of"
Now, solve the powers and divide.
2^6 = 64
4^2 = 16
Divide,
64 ÷ 16 = 4
Your answer is 4
Hope this helped!~
Twelve subtracted from a number equals 25. Find the number
Answer:
37 is your answer
Step-by-step explanation:
let "a number" = x
"twelve subtracted from [x]" = x - 12
"equals 25" = = 25
Set the equation
x - 12 = 25
Isolate the variable. Note the equal sign, what you do to one side, you do to the other. Add 12 to both sides
x - 12 (+12) = 25 (+12)
x = 25 + 12
x = 37
37 is your answer
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The question is asking for a number that results in 25 when 12 is subtracted from it. This is an algebraic expression represented as x - 12 = 25. The solution is x = 37.
Explanation:The question is asking to find a number when 12 is subtracted from it; the result is equals to 25. This is a basic algebraic expression where we let the unknown number be represented by the letter 'x'.
So, we can rewrite the question as an equation: x - 12 = 25.
To find 'x', we need to isolate it on one side of the equation, and to do so, we add 12 to both sides of the equation. This gives us: x = 25 + 12.
Adding 25 and 12, we get 37. So, the number you're looking for is 37.
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Evaluate 6g +1 for g =7
Answer:
43
Step-by-step explanation:You first have to write the equation down. Then replace any variables with numbers. Do 6 times 7 which equals 42. Then add 1 to the answer which equals 43. Hope this is helps!! ☺☻
Answer:
Your answer is 43
Step-by-step explanation: You have to substitue 7 for g since it says g=7
6g +1 --- GIVEN
6(7) + 1 --- SUBSTITUTION
42 + 1 --- MULTIPLICATION
43 --- ADDITION
In the diagram below, which distance represent the distance from point D to AB?
A. BD
C. DC
D. AC
Answer:
Where is the diagram
Step-by-step explanation:
?????
Answer:
C
Step-by-step explanation:
CD
A hiker averages 6 3/8 kilometers per hour. If he hikes 11/15 hours, how many kilometers does he hike?
Answer:
Distance = rate x time
= 6 and 3/8 times 5 and 1/3
= 51/8 times 16/3
= 17 times 2 <---- 51 cancels 3 and 18 cancels 8
= 34 km
Answer:
34 km
Step-by-step explanation:
Distance = rate x time
= 6 and 3/8 times 5 and 1/3
= 51/8 times 16/3
= 17 times 2 <---- 51 cancels 3 and 18 cancels 8
= 34 km
It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day. Working at the same pace, how many days will it take 2 people to do the same work, if they are working 5 hours a day?
Answer:
It will take 2 people 10 days to complete the task.
Step-by-step explanation:
It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day, i.e., 10 people take 10 working hours to complete a task.
When number of people is decreased by 5 times, i.e., 10÷5=2, then the amount of working hours are increased by 5, i.e., 10×5= 50 hours.
If the 2 workers work 5 hours per day then they will require 10 days to complete the task of 50 hours.
(x^2+10x+26)/(x+6) How do you get the quotient and remainder
Answer:
quotient is x+4 and remainder 2.
Step-by-step explanation:
Given an polynomial of degree 2 and we are to divide it by x+6.
To find quotient and remainder
We can do synthetic division
When we divide by x+6 consider -6
and write on left. Write the coefficient 1 , 10, 26 inside
-6 1 10 26
x -6 -24
---------------------
1 4 2 =R
So remainder is 2 and quotient is x+4
Let us verify
(x+4)(x+6) = [tex]x^2+10x+24[/tex]
If we add the remainder we are getting the given expression.
[tex]x^2+10x+26[/tex]
In parallelogram ABCD , diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E, AE=x2−16 , and CE=6x . What is AC ? Enter your answer in the box. units
Answer:
96 units
Step-by-step explanation:
If ABCD is parallelogram, then its diagonals bisect each other. This means that
AE=EC;BE=ED.Since [tex]AE=x^2-16[/tex] and [tex]EC=6x,[/tex] you get
[tex]x^2-16=6x,\\ \\x^2-6x-16=0,\\ \\D=(-6)^2-4\cdot 1\cdot (-16)=36+64=100,\\ \\x_{1,2}=\dfrac{-(-6)\pm \sqrt{100}}{2\cdot 1}=\dfrac{6\pm 10}{2}=8,\ -2.[/tex]
The distance cannot be negative, thus, [tex]x=6\ units.[/tex]
[tex]AE=8^2-16=64-16=48,\\ \\CE=6\cdot 8=48,\\ \\AC=AE+EC=48+48=96\ units.[/tex]