Answer:
x>10,x<−5
Step-by-step explanation:
[tex]x > - 5[/tex] or [tex]x < 10[/tex] are the two possible solutions to the given inequality.
What are absolute value functions?
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
According to the given question.
We have an inequality |3x| > x + 20
Solve the above given inequality |3x| > x + 20
⇒ [tex]-(x + 20) < 3x < +( x + 20)[/tex]
⇒ [tex]-x -20 < 3x < x + 20[/tex]
⇒ [tex]3x > -x -20[/tex] or [tex]3x < x + 20[/tex]
⇒ [tex]3x+x > -20[/tex] or [tex]3x - x < 20[/tex]
⇒ [tex]4x > -20[/tex] or [tex]2x < 20[/tex]
⇒[tex]x > -5[/tex] or [tex]x < 10[/tex]
⇒ x ∈ (-∞, -5)∪(10,∞)
Hence, [tex]x > - 5[/tex] or [tex]x < 10[/tex] are the two possible solutions to the given inequality.
Find out more information about absolute value inequalities here:
https://brainly.com/question/27517767
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GUYS I WILL GIVE BRAINLIEST IF U HELP ME PLS
What is the value of |26| - |-4| ?
Answer:
22
Step-by-step explanation:
26=26
-4=4
26-4=22
8. Which of the following Mathematical expressions is equivalent to a cubed of a number x increased by
ten" ?
A. 3x + 10
B. 10x3
C. x3 – 10
D. x3 + 10
Answer:
B
Step-by-step explanation:
Whats the y-intercept of the line x + 6y = -18
Answer:
18
Step-by-step explanation:
Answer:
it's −3
Step-by-step explanation:
at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students not taking either. if a student is randomly selected from the other school, what is the probability that they are taking chemistry or physics?
Answer:
24/16 (not simplified nor teacher checked)
Step-by-step explanation:
What you would need to do is add up all of the students that are taking chemistry, physics, or both. Then place that number in a divsion form.
10+9= 19+5=24
16
24/16
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
What does the "s" in the following expression represent: 24 + s
Which measurements are for a rectangle with an area of 16 square units?
4 units wide, 2 units long
2 units wide, 6 units long
4 units wide, 3 units long
2 units wide, 8 units long
Answer:
2 Units wide , 6 units long
(b)
In how many months will Rs 4800 amount to Rs 5760 at 2 paisa per rupee per
month?
Answer:
This amount will be reached in 1 year and 2 months, that is, in 14 months.
Step-by-step explanation:
Given that 1 paisa is 1 cent of a rupee, at an increase of 2 paisa per rupee per month we are talking about an interest of 2% per month, which annualized is equal to 24% per year (12 x 2).
Thus, given that the initial amount is Rs $ 4800, to determine the period of time in which said interest will take the amount to Rs $ 5760 it is necessary to perform the following calculation:
4800 x 1.02 x X = 5760
4896 x X = 5760
X = 5760/4896
X = 1.17
Thus, this amount will be reached in 1.17 years, with which to calculate the number of months the following calculation must be performed:
1 = 12
0.17 = X
0.17 x 12 = X
2 = X
Thus, this amount will be reached in 1 year and 2 months, that is, in 14 months.
a. A 5in radius ball is in a
box such that all six sides of
the box are touching the ball.
What percent of the space in
the box is being taken up by
the ball?
Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.
[tex] V_{ball} = \frac{4}{3} \pi r^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14(5)^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14\times 125 [/tex]
[tex] V_{ball} = \frac{1,570}{3}\: In^3 [/tex]
[tex] V_{box} =l^3 [/tex]
[tex] V_{box} =(10)^3 [/tex]
[tex] V_{box} =1000\: In^3 [/tex]
Percentage of the space in the box occupied by the ball
[tex] = \frac{V_{ball}}{V_{box} } \times 100 [/tex]
[tex] = \frac{\frac{1,570}{3}}{1000} \times 100 [/tex]
[tex] = \frac{1570}{3000} \times 100 [/tex]
[tex] = \frac{157}{3} [/tex]
[tex] = 52.33\% [/tex]
Please help pleasseee
Step-by-step explanation:
hope this is correct.......
Answer:
M = 26
Step-by-step explanation:
4m + 3m - 5 + 3 = 180 degree
7m -2 = 180 degree
7m = 180+2
7m = 182
m = 182/7
m = 26
26 x 4 - 5 = 104 - 5 = 99
26 x 3 +3 = 78+ 3 = 81
It is important to comparison shop when purchasing a car.
What does comparison shop mean?
-Always buy from a
local dealership
-Take several photos to
use for comparison
-Compare the price &
quality from different
vendors
-Compare the true
market value of every
vehicle
Answer:
Compare price and quality
Step-by-step explanation:
I did this test
Answer:
option c
Step-by-step explanation:
comparing the price and quality from different vendors is important as we are giving a money we should be sure enough that quality is also as much the money
If bananas are $0.50 each, how much would it cost for 7 bananas?
Answer:
Step-by-step explanation:
total cost = unit cost times number purchased:
total cost = ($0.50/banana)(7 bananas) = $3.50 for 7 bananas
Answer: $3.50
Step-by-step explanation:
Write 45.21% as a decimal
Answer:
.4521
Step-by-step explanation:
when converting a percentage to a decimal you have to move the decimal point over two times to the left. do if you have 100% you moved the decimal point over two and get 1.00
Answer:
0.4521
Step-by-step explanation:
Instead, you can simply multiply a number by 45.21 as a decimal to get the answer.
45.21 percent means 45.21 per hundred. Therefore, to get 45.21 as a decimal, all you have to do is divide 45.21 by 100 like so:
45.21 ÷ 100 = 0.4521
Shortcut: When you divide anything by 100, just move the decimal point two places to the left.
Normally, to calculate 45.21 percent, you would multiply a number by 45.21 percent and then you would take the product of that and divide it by 100 to get the answer.
(hope this helps can i plz have brainlist :D hehe)
PLSSS SHOW UR WORK AND HOW YOU GOT THE ANSWER FOR THIS also help me quickly pls!!
Delroy is going to a dog adoption day at his local animal shelter. he wants to make 4 batches of the biscuits for the dogs. how many cups of margarine will he need?
Kenny uses 1/16 of chocolate syrup bottle for every scoop of ice cream eaten how many scoops has he eaten for 2 3/4 syrup
Answer:
Answer: Kenny has eaten 44 ice cream scoops.
Answer:
Kenny has eaten 44 ice cream scoops
Step-by-step explanation:
I did this quiz before and give Brainliest
Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms.
each one would be two and a half inches
[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me
Answer:
What do you want your answer in? Exact or decimal form?
Exact form: 212/3
Decimal form 70.6
Step-by-step explanation:
Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.
Family A and Family B both have 8 people in their family. The ages of each member is listed below Which statement is correct about the variability of the two families. Family A: 35,5.42, 9.16, 3,8 12 Family B: 1, 5, 29.3, 7, 35, 6,9
Answer:
in family a you multiply by 7
In family b you multiply by 3
Step-by-step explanation:
Sorry if im wrong I should be right if im not then im really sorry :):(
Answer:
family A has greater variability
Step-by-step explanation:
A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path? A. 10 yd. B. 250 C. 50 yd. D. 5000
Answer:
B) 250Step-by-step explanation:
Hope this helps!!
Answer: its 5000 i got it right
Step-by-step explanation:
I need help ASAP will mark you the brainliest
Answer:
The similarity is they are using tools to help them make the lines, but the differences are they are using different tools to make different lines. While 1 of the tools is similar to the other
Step-by-step explanation:
Work out the area of the shaded shape.
3cm
3cm
11cm
4cm
The diagram is not drawn to scale.
Answer:
I don't exactly know so just use a calculator.
Step-by-step explanation:
I think you multiply it all to get the answer.
[tex] \frac{ \sqrt{40} }{ \sqrt{3} } [/tex]
Answer:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
Step-by-step explanation:
Given
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Required
Simplify
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Rationalize:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }[/tex]
Expand the numerator
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
Question
What is the height of a triangle with an area of 893 square inches and a base of 38 inches?
Answer:
the height of the triangle is 47 inches
Can someone please help me I don’t understand
Answer:
The ship is traveling at 25 mph
Step-by-step explanation:
12.5/0.5=25
25/1=25
37.5/1.5=25
The speed is constant (25) so the ship is moving at 25 mph
Which expression shows a “7” NOT as a coefficient?
4x - 7y
7x + 8y
7(x + 9)
7 +5x
Answer:
7 + 5x
Step-by-step explanation:
there is no variable behind the 7
A coefficient is a number multiplied by a variable.
7 +5x
Because in this expression 7 doesn't have a variable
Please MARK me as brainlist
Common ratio of 1/2,1,2,4,8
Step-by-step explanation:
common ratio (r) = second term÷first term
Evaluate each expression using the value w=4, a=2, and h=5
Equation is:
6w+2a
Answer:
6w + 2a = 28
Step-by-step explanation:
the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.
first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.
plug in 4 for w.
6w + 2a
6(4) + 2a
now plug in 2 for a.
6(4) + 2a
6(4) + 2(2)
after plugging in the values, your expression is 6(4) + 2(2).
all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).
6(4) + 2(2)
24 + 2(2)
continue simplifying by multiplying 2(2).
24 + 2(2)
24 + 4
now add 24 + 4.
24 + 4 = 28
so, when w = 4 and a = 2, 6w + 2a = 28.
you can check the answer by plugging those values for a and w back into the completed equation.
6w + 2a = 28
6(4) + 2(2) = 28
24 + 4 = 28
28 = 28
since both sides of the equation are equal, that means that your answer of 28 is correct! :)
i hope this helps! have a great day <3
El triple del mayor de tres números pares consecutivos, más 6 es igual al doble del menor. Encuentra el número mayor. Porfaaaa :(
Answer:
-14. Aunque podría estar equivocado. Espero poder ayudar
Step-by-step explanation:
Anna needs to purchase some new clothes. for each pair of jeans she will buy three sweaters. how many sweaters can she purchase if she has $255?
jeans cost: $40 each
sweaters cost: $15 each
use elimination method for solving systems of equations.
Answer:
3
Step-by-step explanation:
each time Anna purchased a pair of jeans she spends 40+15(3)=40+45=$85, including the sweaters. to find how many jeans and sweaters she buys $255÷$85=3
what is estimate the product of 19.8 and 5 by grounding each factor to nearest whole number
Given:
The two numbers are 19.8 and 5.
To find:
The estimated product of given numbers by rounding each factor to nearest whole number.
Solution:
Two number are 19.8 and 5.
On rounding the given numbers to the nearest whole number, we get 20 and 5.
Now, the estimated product is
[tex]20\times 5=100[/tex]
Therefore, the estimated product of given numbers is 100.
The perimeter of a shape shows a car racing track, how far does a car travel in a race which consists of 23 laps 1.2km , 1.2 km 1.2km
Answer:
110.4km
Step-by-step explanation:
1 lap is equal to 4.8
4.8×23=110. 4
(Need someone to confirm)
