Answer: [tex]|h-1.7| \le 0.5[/tex]
==========================================================
Explanation:
The endpoints of this compound inequality are 1.2 and 2.2
Add up the endpoints to get 1.2+2.2 = 3.4
Divide that result in half getting 3.4/2 = 1.7
The midpoint between 1.2 and 2.2 is 1.7
The distance from 1.7 to 1.2 is 0.5 units after we subtract the values (1.7-1.2 = 0.5). Also, from 1.7 to 2.2 is 0.5 units as well (2.2 - 1.7 = 0.5)
The compound inequality [tex]1.7 \le h \le 2.2[/tex] converts to the absolute value inequality [tex]|h-1.7| \le 0.5[/tex]
The portion h-1.7 represents the distance h is from 1.7; we want this distance to be 0.5 or smaller. The use of absolute value is to ensure the result h-1.7 is never negative.
What is J
6-7j-19= -83
Answer:
j=10
Step-by-step explanation:
6-7j-19=-83
-7j-13=-83
-7j=-70
j=10
could someone please help me , i just want to know how is it done & I’ll understand .
Answer:
Step-by-step explanation:
1) 2/5= 0.4
2) 2 1/8= 2.1
3) 4/33= 0.12
4) -6/11= -0.54
Explanation:
In fractions, the numerator is the number above the line and the denominator is the number below.
The line in a fraction that separates the numerator and the denominator represents division.
To convert a fraction to a decimal, divide the numerator by the denominator.
Determine whether each pair of lines are parallel, perpendicular, or neither. line n: y = -2x-4 line m: y = -2x+8
The given lines n: y = -2x-4 and line m: y = -2x+8 are neither parallel nor perpendicular
What is parallel and perpendicular lines?The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.
The lines are parallel if their slopes are the same but their y-intercepts differ. The lines are not parallel if the slopes differ. Perpendicular lines, unlike parallel lines, do intersect. Their intersection creates a 90-degree angle.
Here given line ,
y = -2x - 4
= y = 2x + 4
Since this is in mx + b form ,
m is the slope
So slope = 2.
Given another line = -2x + 8
Slope = -2
Since slopes are not equal they are not parallel .
Since slopes are not negative reciprocal they are not perpendicular .
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If a number is odd, then it is an integer and a prime number.
Which is the conclusion of the conditional?
Answer:
The conclusion of the conditional statement is;
it is an integer and a prime number
Step-by-step explanation:
The statement that the argument claims to be true or the statement that the rest of a conditional statement leads to is the conclusion of a conditional statement
Given a conditional statement, also known as an if-then statement, which can be represented symbolically as p → q, such that the hypothesis is p and the conclusion is q.
In the given statement, the hypothesis, p = a number is odd, while the conclusion, q = it is an integer and a prime number
Therefore, the conclusion of the conditional statement is it is an integer and a prime number.
However, only the converse of the statement is true, which is given as follows;
If a number is an integer and a prime number, then it is an odd number
in a window display at a flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, adam has 7 plants to select from, each of a different type. Selecting from the 7 plants, adam can make how many display arrangements with 1 plant in each spot? (Note: the positions of the unselected plants do not matter.)
Answer: 210
Step-by-step explanation:
We know that the number of combinations of n things taken r at a time is given by :-
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
So, number of ways to select 3 plants out of 7 = [tex]C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35[/tex]
Also number of ways to arrange them in 3 positions = 3! = 6
Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)
= 35 x 6
=210
Hence, required number of ways = 210
Since, the arrangement does not matter, we use the principle of combination, Hence, the number of display arrangement possible is 210
Total number of plants = 7 Number of spots = 3This could be defined thus as : (7C3) × 3! ;
3! = number of ways to arrange the 3 plants into the 3 spots
Recall :
nCr = [tex] \frac{n!}{(n-r)!r!} [/tex]7C3 = [tex] \frac{7!}{(7-3)!3!} = \frac{7!}{4!r3!} [/tex]
7C3 = [tex] \frac{7×6×5}{6} = 35 [/tex]
3! = 3 × 2 × 1 = 6
(7C3) × 3! = 35 × 6 = 210 ways
Therefore, there are 210 possible arrangements which can be made.
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Paloma volunteered to dean up litter along the sidewalk
in front of her home for a total of 24 hours. If it took
30 minutes to walk that section of sidewalk, and she
walked it daily and picked up all the litter she saw,
how many days would she need to work to complete
her 24 hours of volunteer time?
PLEASE SHOW WORK BECAUSE I HAVE TO WRITE IT DOWN!!!!! 15 POINTS IF U DO!!!
30 mins / day = 1 hr / 2 days
24 hrs * 2 days = 48 days
It would take Paloma 48 days to complete the 24 volunteer hours
Find an equivalent ratio in simplest terms:
48:16
Step-by-step explanation:
what can go in
both numbers
2,4,8
let use 8 since u said to the simplest form
48÷8=6
16÷8=2
therefore, 6:2
If 3m+5=23, what's 2m-3?
Answer:
9
Step-by-step explanation:
First, you solve the initial equation 3m+5=23.
3m+5-5=23-5
3m=18
3m/3=18/3
m=6
Second, you input the answer 6 into m in the second equation.
2(6)-3
12-3
=9
PLEASE HELP!!!!
what is (38^5)^2 as a single power
what is 20^6 divided by 20^3 as a single power?
Answer:
Hi there!
Your answers are:
1) 38^10
2) 20^3
Step-by-step explanation:
1) Theres a property that goes like this:
(x^m)^n = x^mn
When you do a power of a power, you multiply them together!
2) There's a property that looks like this:
x^ m / x^n = x^ m-n
When dividing exponents, subtract!
Hope this helps!
what is the answer to this question 13 + 3p = 7
Answer:
13p = 7 - 13
13p = -6
p = -6/13
Hopr it helps
NEED HELP ASAP!!!!!!!!
What was the ratio of combat deaths by diseases?
IN THE CIVIL WAR
Answer:
The ratio is 2:3
Step-by-step explanation:
There was 750,000 total deaths in the civil war
About 500,000 of these deaths were due to disease and uncleanliness.
To simplify, 50:75 is 10:15 or 2:3.
To solve ratios, just simplify down as much as possible.
I can’t figure this out
Answer:
points C and B
Step-by-step explanation:
becuse they lie at the same points on the number line, only one it oto the rights of zero and the other is to the left; making them oppsites.
Answer:The answar is B and C
Step-by-step explanation: I know this because i did this kind of questions before and it says wich two are oppsites, none of the other points are the exact oppsites of eachother.
Evaluate the expression
9ab + c if a=-7, b=9, and c = 4
Answer:
-563
Step-by-step explanation:
a = -7 , b = 9 , c = 4
9ab +C
9 × -7 × 9 + 4
81 × -7 + 4
-567 + 4
-563
Find the surface area of Earth if the equator is about 24, 902 miles long. Round to the nearest thousand square miles.
O A. 197,387,000 mi 2
O B. 198,227,000 m2
O C. 147,347,000 mi2
D. 297, 387, 000 mi2
40 percent of what number is 520. draw a diagram of the problem
Answer:
Step-by-step explanation:
the number is 1300 if we have 40% from it will give us 520
Find mZTUQ if mZTUQ = 5x - 7, mZQUV = 19x + 12, and mZTUV = 173º.
T
Q
U
O 7°
23°
26°
28°
Answer:
28°
Step-by-step explanation:
m∠TUQ = 5x - 7m∠QUV = 19x + 12m∠TUV = 173°m∠TUQ =?--------------
m∠TUV = m∠TUQ + m∠QUV
173° = 5x - 7 + 19x +12173° = 24x + 5168° = 24xx = 168°/24x = 7°m∠TUQ = 5*7° - 7° = 28°
if m is perpendicular to n, solve for x
x + 21 + 3x + 9 = 90
Combine like terms
4x + 30 = 90
Subtract 30 from both sides
4x = 60
Divide both sides by 4
x = 15
Answer:
x = 15
Step-by-step explanation:
You can use the opposite angles property to solve this problem. By using the property, the opposite angle of x+21 must also be x+21. So therefore, you can setup the equation x+21+3x+9=90. Simplify and you should get 4x+30=90. Subtract 30 on both sides and you get 4x=60. Divide 4 on both sides and you get x=15.
How do i get the answer to -x-4+3x= -5x -18
Answer:
x = - 2
Step-by-step explanation:
Given
- x - 4 + 3x = - 5x - 18 , that is
2x - 4 = - 5x - 18 ( add 5x to both sides )
7x - 4 = - 18 ( add 4 to both sides )
7x = - 14 ( divide both sides by 7 )
x = - 2
Answer:
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What is the measure of the angle?
Answer:
The angle of that is 90°
this is my little brothers work n I don’t even understand it either helpppp
Answer:
92
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
4+4+4 is 12. So you carry the 1 to the tenths place and keep the 2.
(1)
64
14
+14
------
2
Then you add 1+6+1+1, which is 9.
(1)
64
14
+14
------
92
What is 7/8 divided by 6/9 as a fraction
Step-by-step explanation:
(7/8) / (6/9)
= (7/8) / (2/3)
= (7/8) * (3/2)
= (7 * 3) / (8 * 2)
= 21/16.
The result is: 7/8 divided by 6/9 is equal to 21/16.
To divide one fraction by another, we can multiply the first fraction by the reciprocal (inverse) of the second fraction.
The reciprocal of a fraction is obtained by flipping it upside down.
we have to find 7/8 divided by 6/9:
now we find the reciprocal of 6/9.
Reciprocal of 6/9 = 9/6 (Flip the fraction upside down)
Multiply 7/8 by the reciprocal of 6/9.
(7/8) × (9/6)
To simplify the fraction, first, check if both the numerator and denominator share any common factors and then divide both by their greatest common divisor (GCD).
Now, let's calculate:
(7/8) × (9/6)
Multiply the numerators: 7 × 9 = 63
Multiply the denominators: 8 × 6 = 48
The result is 63/48.
Find the greatest common divisor (GCD) of the numerator and denominator, which is 3 in this case (GCD of 63 and 48).
Divide both the numerator and denominator by the GCD (3):
63 ÷ 3 = 21
48 ÷ 3 = 16
The simplified fraction is 21/16.
So, 7/8 divided by 6/9 is equal to 21/16.
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The opposite of -8/9 is
Step-by-step explanation:
-9/8 is it's resiprocal
A recipe uses 12 tablespoons of butter to make 60 servings. How many tablespoons of butter will be used to make 20 servings? A-3 B-4 C-6 D-8
Answer:
B. 4 tablespoons
Step-by-step explanation:
Let’s make a proportion using the following setup:
tablespoons/servings=tablespoons/servings
We know that 12 tablespoons are needed for 60 servings.
12/60=tablespoons/servings
We don’t know how many tablespoons are needed for 20 servings. We can say x tablespoons make 20 servings.
12/60=x/20
Want want to solve for x, so we must isolate x. x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the proportion by 20.
20*(12/60)=(x/20)*20
20*12/60=x
20*0.2=x
4=x
x= 4 tablespoons
4 tablespoons of butter are used to make 20 servings.
How do I multiply fractions?
Multiply the numerator by numberator and denominator by denominator.
a/b multiplied by c/d is ac / bd.
Answer:
Multiply the top numbers
Multiply the bottom numbers
Simplify if needed
Example:
4/5×6/8= 24/40=3/5
Find the slope and y intercept
y = - 2/3x + 4
Answer:
slope: -2/3 y intercept: (0,4)
Step-by-step explanation:
Point W is on line segment \overline{VX}VX. Given WX=2WX=2 and VX=17,VX=17, determine the length{VW}.VW.
Answer: [tex]\overline{VW}=15[/tex] units.
Step-by-step explanation:
Since Point W is on line segment [tex]\overline{VX}[/tex].
That means V,W,X are collinear such that [tex]\overline{VX} = \overline{WX}+\overline{VW}[/tex] (i)
Given[tex]\overline{ WX}=2[/tex] units. , [tex]\overline{ VX} = 17[/tex] units.
To determine : length of [tex]\overline{ VW}[/tex].
Substitute all the given values in (i), we get
[tex]17=2+\overline{VW}\\\\\Rightarrow\ \overline{VW} =17-2=15\\\\\Rightarrow\overline{VW}=15[/tex]
Hence, the length of [tex]\overline{VW}=15[/tex] units.
If f(x) = x/2 + 8, what is f(x) when x = 10?
4
9
13
36
Solution:
f(10) = 10/2 + 8
f(10) = 5 + 8
f(10) = 13
Best of Luck!
translate a number greater than 5
Answer:
6
Step-by-step explanation:
I mean seems to me that your counting
Name the property illustrated by 5 (x + y) = 5 (y + x) . a. Distributive Property b. Commutative Property of Addition c. Associative Property of Addition d. Commutative Property of Multiplication
Given:
[tex]5 (x + y) = 5 (y + x)[/tex]
Solution:
Here, we need to find the property illustrated by this equation.
It the given equation, we write (x+y) as (y+x).
According to the Commutative Property of Addition, if a and b are two real numbers, then
[tex]a+b=b+a[/tex]
It means, Commutative Property of Addition is illustrated by the given equation.
Therefore, the correct option is b, i.e., Commutative Property of Addition.
Which of the following is not a property of a rectangle?
A. Both pairs of opposite sides are parallel
B. Each angle measures 90o
C. Diagonals are congruent
D. All sides are congruent