Understanding the Absolute Value.
First, know what the absolute value is.
The absolute value is the value that determines how far the value is from 0.
For example, The absolute value of -5 is far from 0 5 units. Therefore the absolute value of -5 equals 5.
Basic Absolute Value Defines
| a | = a
- | a | = -a
| - a | = a
Back to the question. To evaluate those expressions, we use the defines of absolute value.
|-16| = 16
|-1| = 1
16-(1)
Then remove the brackets. 16 - 1 = 15
Therefore, the answer is 15.
The answer above is when being subtracted and evaluated from both 16-1
Evaluating for each expressions would be
|-16| = 16
-|-1| = -1
Which linear equations have one solution? Check all that apply.
O 5x–1=3(r + 11)
O 4(r-2) + 4x = 8(x– 9)
O 4(r- 6) + 4 = 2(r-3)
O 2(r- 4) = 5(r- 3) + 3
O 2(- 1) + 3x = 5(r- 2) + 3
Which of the following is equal to the expression listed above?
A.
(14 + 7) × 12
B.
14 + (7 + 12)
C.
(14 + 7) + (7 + 12)
D.
12 × 14 + 12 × 7
Answer:
[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]
Step-by-step explanation:
Given
[tex](14 + 7) + 12[/tex] --- [Missing in question]
Required
Select equivalent expression
[tex](14 + 7) + 12[/tex]
Associative property states that:
[tex](a + b) + c = a + (b + c)[/tex]
In this case:
[tex]a = 14[/tex]
[tex]b = 7[/tex]
[tex]c = 12[/tex]
So, we have:
[tex](a + b) + c = a + (b + c)[/tex]
[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]
B. is correct
44 kg of onions cost $308. How much would 30 kg cost?
Answer:
$210
Step-by-step explanation:
Cost of 44kg onions = $308
Cost of 1kg onion = [tex] \frac{308}{44} = 7[/tex]
Cost of 30kg onions = [tex]30 \times 7 = 210[/tex]
prove that the angle sum of any triangle is 180°
Sandra walks 13 miles in 3 hours. At what unit rate does sandra walk
Answer:
4.25 mph i think
Step-by-step explanation:
4x 3 =12
1/4 x 4 = 1
12 + 1 = 13
10( x + 1) = 2 x-7
Solve For x
Answer:
x = -17/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
10(x + 1) = 2x - 7
Step 2: Solve for x
Distribute 10: 10x + 10 = 2x - 7Subtract 2x on both sides: 8x + 10 = -7Subtract 10 on both sides: 8x = -17Divide 8 on both sides: x = -17/8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 10(-17/8 + 1) = 2(-17/8) - 7Multiply: 10(-17/8 + 1) = -17/4 - 7Add: 10(-9/8) = -17/4 - 7Multiply: -45/4 = -17/4 - 7Subtract: -45/4 = -45/4Here we see that -45/4 does indeed equal -45/4.
∴ x = -17/8 is the solution to the equation.
HELPPPPPPP PLSSSSSSSSSS
Answer:
B
Step-by-step explanation:
I checked it and it’s right hope this helps!!
Which graph shows a proportional relationship between the number of hours of renting a jet ski and the total amount spent to rent the jet ski? (5 points)
a
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 48 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
b
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 56 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
c
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 18 and 6, 18 and 8, 18. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
d
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
Answer:
A
Step-by-step explanation:
What is the sign of the product (3)(–3)(–2)(4)
Answer:
72
Step-by-step explanation:
brainliest please
I WILL GIVE BRAINLIEST (real answers)
Answer:
Answer below
Step-by-step explanation:
Rational:
3.597
74.721
5/2
0
-11
(all the rest are irrational)
If u steal point i report
Answer:
i think the answer is all of them but if its wrong im sry
Step-by-step explanation:
What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?
Answer:
The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]
Step-by-step explanation:
We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.
The equation will be of form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding slope of the line:
Since both the lines are parallel, and we know that parallel lines have same slope.
The slope of given line [tex]5x+4y=16[/tex] can be found by writing in slope-intercept form [tex]y=mx+b[/tex]
[tex]5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16[/tex]
Comparing with [tex]y=mx+b[/tex] the slope m is: [tex]m=-\frac{5}{4}[/tex]
So, the slope of required line is: [tex]m=-\frac{5}{4}[/tex]
Now, finding y-intercept b
y-intercept can be found using slope [tex]m=-\frac{5}{4}[/tex] and point (8,-7)
[tex]y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3[/tex]
So, we get y-intercept: b=3
Now, the equation of required line having slope [tex]m=-\frac{5}{4}[/tex] and y-intercept b=3 is:
[tex]y=mx+b\\y=-\frac{5}{4}x+3[/tex]
So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]
Clear selection
The cost of groceries is $120.00. The price will be split among several roommates.
What type of variation exists between the cost of groceries per person and the
amount of people involved?
A Direct variation
B Inverse variation
C Neither
D Not enough information
Answer:
B Inverse Variation
Step-by-step explanation:
I think that is the answsr
Answer:
The Correct is B inverse variation
tangles)
What is the missing term?
-1
?
-3
5x 25x2 | 15x
5x
+3
What type of counting problem is this? If Jackson is at the store and can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,
blueberries, and kiwis), how many different collections of fruit can he choose?
a. Combination with repetition
b. Permutation with repetition
c. Combination without repetition
d. Permutation without repetition
Answer:
Combination with repetition
Step-by-step explanation:
This is a combination since the order in which Jackson purchases the fruit does not matter. Repetition is allowed (he’s at the store so he can buy as many as he wants).
The number of different collections of fruit can he choose should be considered when there is Combination with repetition
Calculation of the number of different collections:Since he can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,blueberries, and kiwis)
So here it is the combination because the order where Jackson buy the fruit should not matter. Also, the repetition should be allowed that means he buy as he needs.
Therefore, the first option is correct.
Learn more about number here: https://brainly.com/question/14650093
It takes Paresh 4 hours to bike 26 miles. He plans to bike 7 hours tomorrow. If he bikes at the same rate, how far will Paresh bike in 7 hours?
Answer:
7x26
Step-by-step explanation:
Lupe has 14 stickers that she wants to give to 2 friends.
She wants each friend to have the same number of stickers.
Select the three statements that describe how Lupe should give the stickers to her friends.
A. Each friend gets 14÷2 stickers.
B. Each friend gets 2 of the 14 stickers.
C. Each friend gets 142 stickers.
D. Each friend gets 7 of the 14 stickers.
Why would the Canadian government be against imposing harsh environmental regulations on mining and timber businesses located in the Canadian Shield?
Answer:
because the pollution created by these industries affects the United States more than Canada
Step-by-step explanation:
SMARTS!!!
Determine the zeros of the function f(x) = (x - 2)(x + 2)(x+1)^2
Answer:
x=2, x=-2, and x=-1
Step-by-step explanation:
Function: f(x)=(x-2)(x+2)(x+1)²
We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.
So we have three equations:
1.(x-2)=0
2.(x+2)=0
3.(x+1)²=0
Solve.
1.x-2=0
x=2
2. x+2=0
x=-2
3. (x+1)²=(x+1)(x+1)=0
(x+1)=0
x=-1
(x+1)=0
x=-1
Since those two were the same we can just say x=-1 once.
Here are the three zeros:
x=2, x=-2, and x=-1
hope this helps!
Sadie went shopping over the weekend and found a sweater that she liked that was regularly 3
$33. She used her 20% off coupon to save her some money. How much money will Sadie save
on the sweater? *
Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank
Answer:
[tex]g(n) = 10 * 3^{n}[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the explicit formula for the table
First, we need to check if the guppies increases at arithmetic progression or geometry progression.
For arithmetic progression:
We calculate the common difference (d)
[tex]d = g(n) - g(n-1)[/tex]
Take n as 1
[tex]d = g(1) - g(1-1)[/tex]
[tex]d = g(1) - g(0)[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(0) = 10[/tex]
[tex]d = 30 - 10[/tex]
[tex]d = 20[/tex]
Take n as 2
[tex]d = g(2) - g(1)[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(2) = 90[/tex]
[tex]d = 90 - 30[/tex]
[tex]d = 60[/tex]
The two differences are not equal. So, this
For geometry progression:
We calculate the common ratio (r)
[tex]r = \frac{g(n)}{g(n-1)}[/tex]
Take n as 1
[tex]r = \frac{g(1)}{g(1-1)}[/tex]
[tex]r = \frac{g(1)}{g(0)}[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(0) = 10[/tex]
[tex]r = \frac{30}{10}[/tex]
[tex]r = 3[/tex]
Take n as 2
[tex]r = \frac{g(2)}{g(1)}[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(2) = 90[/tex]
[tex]r = \frac{90}{30}[/tex]
[tex]r = 3[/tex]
The two ratios are equal.
So, the next step is to calculate the explicit formula using n term of a geometric progression.
Because the progression starts from 0, we make use of the following formula
[tex]g(n) = g(0) * r^{n}[/tex]
Substitute values for g(0) and r
[tex]g(n) = 10 * 3^{n}[/tex]
Hence:
The explicit formula is: [tex]g(n) = 10 * 3^{n}[/tex]
In the figure at the right AB || XY, and m<1 = 120. Tell weather each statement is true or false with #8, 9, 10, 11, 12, 13, 14, 15, 16, and 17
Answer:
False
Step-by-step explanation:because it is.
Answer correct plz if u steal points ill report
Answer:
Okay look at the graph, at x = 11, the y of the line is between 500 and 450. 500+450=950
950/2=475 so (11,475)
Let's take x=6, the y would then be 600. If x=9, y would be 525. Just try to look at the graph and see from there. Let me know the answer.
What is the coefficient of y in the expression 3-6 + 4y?
(1 point)
3
4
10
18
Plz help.For what value of x is line m parallel to line n?
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of 0? (5 points)
a
6, 12
b
0, 6
c
-6, 0
d
6, -6
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of 0? (5 points)
a
6, 12
b
0, 6
c
-6, 0
d
6, -6
Answer:
D) 6,-6
hope that helps
C.
a
C.
If you save 1 paisa the today, 2 paisa the next
day, 4 paisa the succeeding day and so on. The
total savings in two weeks will be in Rs.
b. 183
c. 162.83
d. 164.85
22. The
a. 163
no
Answer:
Step-by-step explanation:
[tex]2^{14}[/tex] paisa =16,384 paisa
DE bisects BC. If BC = 5x-3 and CE= 2x+25 find the value of x
Answer:
x = 53
Step-by-step explanation:
The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:
5x - 3 = (2x + 25)2
multiply
5x - 3 = 4x + 50
ad 3 to both sides
5x = 4x + 53
subtract 4x from both sides
x = 53
Input into the equation to check:
5x - 3 = (2x + 25)2
5(53) - 3 = (2(53) + 25)2
265 - 3 = (106 + 25)2
262 = (131)2
262 = 262, it's correct :)
Answer:
Step-by-step explanation:
The sum of an arithmetic progression A.P.
The sum of an arithmetic progression is
given by the expression:
Sn = n/2 [2a + (n − 1)d]
Where Sn is the sum.
Answer:
S8 = 112
Step-by-step explanation:.
The question is incomplete
Assuming we are given the following
First term a =7
number of terms n = 8.
Common difference d=2
We can find the sum of the first 8terms S8
Substitute the given values
S8 = 8/2[2(7)+(8-1)(2)]
S8 =4(14+7(2))
S8=4(14+14)
S8 = 4(28)
S8 = 112
Hence the sum of the first 8terms is 112
Note that the values are assumed values
2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm
from a metal sheet. How many square metres of the sheet are required for the same
Answer:
It's required [tex]7.48\ m^2[/tex] of sheet for the tank
Step-by-step explanation:
Surface Area of a Cylinder
Given a right cylinder of base radius r and height h, the surface area is calculated as follows:
[tex]S=2\pi r^2+2\pi r h[/tex]
The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:
[tex]S=2\pi 0.7^2+2\pi (0.7)(1)[/tex]
[tex]S=2\pi 0.49+1.4\pi[/tex]
[tex]S=2.38\pi[/tex]
[tex]\boxed{S=7.48\ m^2}[/tex]
It's required [tex]7.48\ m^2[/tex] of sheet for the tank