Inequality Form = X > -1
Interval Notation = (-1,∞)
Answer:
x>-1
Step-by-step explanation:
move the 5 to the other side by subtracting both sides by 5:
-2x+5-5<7-5
=
-2x<2
Divide by negative 2
(Reminder when you divide or multiply anything by negative you need to switch the signs to the other side)
x>-1
Hope this helps!
1. (- 17 )- (-19)- 212. 280- (105) - (134 ) =
I'll give you? please answer.
Answer:
23
Step-by-step explanation:
23
Answer:
-449.28
Step-by-step explanation:
I used a calculator
Helpppppppp thank you<3
Answer:
Step-by-step explanation:
Answer:
X=50
Step-by-step explanation:
Since a line equals 180 ( even if it's bisected- meaning there is a line through it ) and you know one side is 113, you subtract 113 from 180 to find the other side ----> 180-113= 67. so now you know the small right angle in the triangle is 67°
Then since a triangle also always equals 180° and now you know that one angle is 63 and the other is 67, you just subtract those from 180 to find the third angle ( which is x) -----> 180-67-63=50
So x=50
Hopefully this wasn't too confusing...
In Last Lecture, which person does Randy Pausch connect to the idea of always encouraging his students to strive for higher goals?
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It is correct
A rectangular is completety filled with dice.Each dice has volume of 2cm³.The length of the box is 5cm grater than its width and its height is 5cm.Suppose the box holds at most 150dice.What are the posibble dimensions of the box
Answer:
length = 10.64 cm, width = 5.64 cm, and height = 5 cm.
Step-by-step explanation:
Total volume of dice that filled the box = (150 x 2) cm³
= 300 cm³
Let the length, width and height of the box be represented by l, w and h respectively.
So that;
l = (w + 5) cm
w = w
h = 5 cm
volume of the box = length x width x height
= (w + 5) x w x 5
= (w + 5) x 5w
= 5[tex]w^{2}[/tex] + 25w
volume of the box = 5[tex]w^{2}[/tex] + 25w
Since the box was completely filled by 150 dice, then;
total volume of dice = volume of the box
300 = 5[tex]w^{2}[/tex] + 25w
5[tex]w^{2}[/tex] + 25w - 300 = 0
Divide through by 5 to have;
[tex]w^{2}[/tex] + 5w - 60 = 0
Applying the quadratic expression,
w = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a
where: a = 1, b = 5 and c = -60
(-5 ± [tex]\sqrt{5^{2} - 4(1*-60)}[/tex] ) ÷ 2
(-5 ± [tex]\sqrt{265}[/tex]) ÷ 2
(-5 ± 16.28) ÷ 2
(-5 + 16.28) ÷ 2 OR (-5 - 16.28) ÷ 2
5.64 OR -10.64
Thus, w = 5.64 cm
So that, l = (w + 5) = 10.64 cm
The possible dimensions of the box are: length = 10.64 cm, width = 5.64 cm and height = 5 cm.
HELP PLEASE
The sum of three numbers is 19. The third number is eleven less than five times the second number. If the first number is quadruple the amount of the second number, what is the value of the third number? (may I have the equation please)
Answer:
third number = 4,
equation of y, y = 5x - 11
equation of n, n = 4x
equation of x, n + x + y =19
Step-by-step explanation:
so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19
10x = 30
x = 3.
Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11
15 - 11
4 = third number
Which is the best to buy?
a) 6 shirts for $25.50 b) 4 shirts for $18.00 c) 5 shirts for $21
Answer:
C. 5 Shirts for $21
Step-by-step explanation:
I conclude this when I calculate the amount of money needed for a singular shirt in every "bundle" by using division.
First I calculated how much you'd have to pay for one shirt in the six-pack collection fo shirts, and I resulted in $4.25 for each shirt. The problem in number form is: 25.50÷6=4.24. By dividing the total with six you result in the singular price of the individual price of each shirt in the pack.
As for the other packs, my calculations resulted in $4.50 for the 4 shirts pack and $4.20 for the 5shirts pack.
find the number please
Answer:
1
Step-by-step explanation:
The reciprocal of 1 equals 1
1/4×4=1
1-1=0
Answer:
The answer is 8
Step-by-step explanation:
Multiply, add and subtract the top
HELP ME OUT!!!!!!!!!!
Answer: it costs 1/3 or 0.333... for one orange
X represents number of oranges
Y represents the cost
12x-5y=-20
y=x+4
Please help me asap it's due Wednesday
:(
Answer:
Point Form:
(0,4)
Equation Form:
x=0,y=4
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
ANSWER THIS ALEGBRA QUESTION IF YOU ARE GREAT AT MATH ‼
Answer:
C) (5, ∞)
General Formulas and Concepts:
Alg I
Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
According to the graph, we have a horizontal asymptote at y = 5. Therefore, the graph never actually touches/reaches the y-value 5. Therefore, 5 is not included in our range:
(5, ∞) or y ≥ 5
Find the value of x 2x+11 14x-37
Answer:
The value of x is equal to 4. See explanation below:
Step-by-step explanation:
2x+11=14x-37
-11 -11 -Subtract 11 from both sides: 11-11=0 | -37-11=-48
2x=14x-48
-14x -14x -Subtract -14x from both sides: 14x-14x=0 | 2x-14x=-12x
-12x=-48 -Divide both sides by -12: -12/-12=0 | -48/-12=4
------ -----
-12 -12
x=4 -X is equal to 4
Check:
2x+11=14x-37
Substitute x for 4:
2(4)+11=14(4)-37
Solve:
2*4=8
8+11=14(4)-37
8+11=19
19=14(4)-37
14*4=56
19=56-37
56-37=19
19=19
So x does in fact equal 4.
I hope this helped you.
Please mark Brainliest.
Have a great day!!!!!!!!!!
What's the greatest number 7.3 or 55
the answer is 55
because there's a . in 7.3
and 55 is the higher number.
In which quadrant does the point (-8 , -18) lie?
Answer:
Quadrant 3
Step-by-step explanation:
Quadrant 1- (Positive,Positive)
Quadrant 2- (Negative Positive)
Quadrant 3- (Negative,Negative)
Quadrant 4- (Positive,Negative)
please help me out .
ill mark brain list
Answer:
The amount of time Jill spent to do her homework
= 9 1/2 hours. which equals to 570 minutes.
Which means, the amount of times Jack needed to do his is
= 570 minutes x 1.5
= 855 minutes which equals to 14 1/4 hours
hope this helps
Answer:
Step-by-step explanation:
1) Time spent by Jack = Time spent by Jill * 1 1/2
[tex]= 9\frac{1}{2}*1\frac{1}{2}\\\\=\frac{19}{2}*\frac{3}{2}\\\\=\frac{19*3}{2*2}\\\\=\frac{57}{4}\\\\=14\frac{1}{4} hours[/tex]
2) Time spent by Jill = Time spent by Jack ÷ 1 1 /2
= 18 1/4 ÷ 1 1/2
= 73/ 4 ÷ 3/2
[tex]= \frac{73}{4} * \frac{2}{3}\\\\=\frac{73}{2}*\frac{1}{3}\\\\=\frac{73*1}{2*3}\\\\=\frac{73}{6}\\\\=12\frac{1}{6} hours[/tex]
3) Third number = Sum of three numbers - Sum of two numbers
Sum of two numbers = [tex]8\frac{2}{3}+8\frac{1}{6}\\[/tex]
[tex]= \frac{26}{3} +\frac{49}{6}\\\\=\frac{26*2}{3*2}+\frac{49}{6}\\\\=\frac{52}{6}+\frac{49}{6}\\\\=\frac{52+49}{6}\\\\=\frac{101}{6}\\[/tex]
Third number = 22 8/15 - 101/6
[tex]= \frac{338}{15}- \frac{101}{6}\\\\= \frac{338*2}{15*2}- \frac{101*5}{6*5}\\\\= \frac{676}{30}- \frac{505}{30}\\\\= \frac{676-505}{30}\\\\= \frac{171}{30}\\\\=5 \frac{21}{30}\\\\= 5 \frac{7}{10}[/tex]
Complete the statement. Round to the nearest hundredth if necessary.
14 m to ft
(the answer is not 45.93)
Does someone know the answer?
Answer:
i do not
know the awnser but c would be 720 multiplied by its self 3 times the converted
Step-by-step explanation:
16 17 18
Select True or False for each statement.
Point A(5,-5) is to the right of the y-axis and below the x-axis.
7
Point B(-3, 2) is to the left of the y-axis and below the x-axis.
7
Point C(2, 2) is to the right of the y-axis and above the x-axis.
?
V
Point D(-4, 4) is to the left of the y-axis and below the x-axis.
?
Answer:
true, false, true, false
y is directly proportional to x
when y=30, x=6
Answer:
y = 5x
Step-by-step explanation:
Assuming you require the proportional equation
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when y = 30, x = 6 , then
30 = 6k ( divide both sides by 6 )
5 = k
y = 5x ← equation of proportion
PLEASE HELP!! WILL GIVE BRAINLIEST!!
Directions: Simplify each term by factoring.
1. 9rs
2. 14xy
3. 5x2
4. 32x2
5. 20x2
6. 30x2
7. 5x3
8. 25y3
9. 9xy
10. 12x4
Answer:
mark brainlest and the answers are in the doc
Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.
To simplify each term by factoring:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Consider the graph representing the cans of soda in a refrigerator at a birthday party.
Which statement describes the graph? Select all that apply.
the y intercept is 50
the y intercept is 100
it decreases as 2 sodas per trip
it decreases every 10 sodas per 20 trips
the y intercept is 0 and the rate of change is 50
Answer:
B/ C
Step-by-step explanation:
because it starts at 100 - the y intercept
and because it goes down 2
A logo in an advertisement is an equilateral triangle with a side length of 7 centimeters. Give the measure of each side. From least to greatest, the measure of each side is centimeters, centimeters, and centimeters.
Answer:
The measure of the least side of the logo = The measure of the greatest side of the triangular = 7 cm
Step-by-step explanation:
The measure of all the sides of an equilateral triangle are equal
Therefore, the measure of each side of the logo are equal to the length of the given side length of 7 centimeters
The measure of the least side of the logo = The measure of the greatest side of the triangular = 7 cm
which shows the best use of the associative and communitive properties to make simplifying 3/4 - 5 + 9 - 2/4 + 2 easier?
a.) [2 + 3/4 + (-5)] + [(2/4) + 9]
b.) [3/4 + 9 + (-5) + [2 + (-2/4)]
c.) [3/4 + (-2/4)] + [9 + 2 + (-5)]
d.) [3/4 + (-5)] + [9 + (-2/4) + 2]
Please post a real answer.
Answer:
The Answers A.
Step-by-step explanation:
please please help asap!
Simplify (5x2 + 3x + 4) + (5x2 + 5x − 1)
Answer:
10x^2+8x+3
Step-by-step explanation:
Add 5x^2 and 5x^2 which is 10x^2
Add 3x and 5x which is 8x
add 4 and -1 which is 3
Final answer: 10x^2+8x+3
Hope this helps!
Which of these formulas models this arithmetic sequence?
8.7, 8.4, 8.1,7.8, 7.5,...
Answer:
The formula to model the arithmetic sequence will be:
[tex]a_n=-0.3n+9[/tex]
Step-by-step explanation:
Given the sequence
[tex]8.7,\:8.4,\:8.1,\:7.8,\:7.5,...[/tex]
An arithmetic sequence has a constant difference d and is defined by:
[tex]\:a_n=a_1+\left(n-1\right)d[/tex]
Computing the differences between all adjacent terms:
[tex]8.4-8.7=-0.3,\:\quad \:8.1-8.4=-0.3,\:\quad \:7.8-8.1=-0.3,\:\quad \:7.5-7.8=-0.3[/tex]
The difference between all adjacent terms is the same and equal to
[tex]d=-0.3[/tex]
The first element of the sequence is
[tex]a_1=8.7[/tex]
so
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Therefore, the nth term is computed by:
[tex]a_n=-0.3\left(n-1\right)+8.7[/tex] ∵ [tex]d=-0.3[/tex]
[tex]a_n=-0.3n+9[/tex]
Therefore, the formula to model the arithmetic sequence will be:
[tex]a_n=-0.3n+9[/tex]
20=3m+5m what does m equal?
Answer:
2.5=m
Step-by-step explanation:
20=3m+5m
combine like terms
20=8m
divide by 8 on both sides
2.5=m
what is x 2 −6x=-156
你好!Please help me with this question. I will mark the correct answer brainlist, this is worth 20 points.
1.) Is the number rational or irrational? Show your work/explain
-3√8
2√3 - √27
2.) 4/13 and 3/10
Which number is larger? Explain
What is a rational number between the two given numbers?
Answer:
See below
Step-by-step explanation:
1)
Once
[tex]-3\sqrt{8} = -6\sqrt{2}[/tex], it is an irrational number because [tex]\sqrt{2}[/tex] is irrational.
[tex]2\sqrt{3}-\sqrt{27} = 2\sqrt{3}-3\sqrt{3}=-\sqrt{3}[/tex], it is an irrational number because [tex]\sqrt{3}[/tex] is irrational
2) In order to compare those two fractions put them in the same denominator.
Once
[tex]\dfrac{4}{13} = \dfrac{40}{130}[/tex]
[tex]\dfrac{3}{10} = \dfrac{39}{130}[/tex]
So,
[tex]\dfrac{39}{13} > \dfrac{40}{130}[/tex]
This is because, when two fractions have the same denominator, the larger number between them is the fraction with the lowest numerator.
Both are rational numbers because both denominator and numerator are integers.
2.) Benson is keeping track ofthe amount ofsalt he consumes each day. According to the label on his macaroni and cheese box, one serving contains 470 mg of sodium (salt). If 470 mg is 20% ofthe recommended daily amount, how many milligrams of sodium are recommended for the whole day? Explain or show your calculations.
Answer: 2350 milligrams of sodium are recommended for the whole day.
Step-by-step explanation:
Let x= Quantity of sodium are recommended for the whole day.
As per given, we have
20% of x = 470 milligrams
⇒ 0.20x = 470 milligrams [20%=0.20]
[tex]\Rightarrow\ x=\dfrac{470}{0.20}[/tex] [Divide both sides by 0.20]
[tex]\Rightarrow\ x= 2350[/tex]
Hence, 2350 milligrams of sodium are recommended for the whole day.
How many different arrangements of letters can be formed if the first letter must be W or K (repeats of letters are allowed)?
Answer:
This can vary. Are we doing 4 letter words, 5 letter, etc?
Step-by-step explanation:
The weight of an object on the moon is one-sixth its weight on earth.If an object weighs 48 pounds in the moon how much does it weigh on earth
Answer:
288 lbs
Step-by-step explanation:
since it is 1/6 of the amount on the moon compare to the earth
take 48 and multiply it by 6
48x6=288