Answer:
OK.
the sets are
natural numbers (or counting numbers), this is like 1,2,3,4,5 etc
whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc
integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc
rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here
-7/9 goes in the rational set
convert 8/3 to a mixed number
============================================
Work Shown:
8/3 = (6+2)/3
8/3 = 6/3 + 2/3
8/3 = 2 + 2/3
8/3 = 2 & 2/3
The whole part is 2. The fractional part is 2/3.
-----------
Another way you could do the problem is to use long division as shown in the diagram below.
The result of the long division is
8/3 = 2 remainder 2
The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.
So that's another way to get 2 & 2/3
Pls help question is in the pic. Please give a right answer thx :D
Answer:
61.2
Step-by-step explanation:
Riley is training to run in a 5-kilometer road race. She would like to
reduce her race time by 15 seconds each month that she trains.
The race is in 3 months. What is the total change in time that Riley
hopes to achieve?
1. What integer represents the change in race time Riley wants to
achieve each month?
2. What integer represents the number of months she will train?
3. Write a multiplication expression that can be used to find the total
change in time.
4. Complete the number line to find the product.
-15
--50-45-40-35-30-25-20-15 -10 -5
0
5. What is the total change in race time that Riley hopes to achieve?
Explain what this change represents in the situation.
Answer:
1. -15
2. 3
3. -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image.
5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.
Step-by-step explanation:
Given that it is a 5 kilometre race.
Time to be reduced each month = 15 seconds
Total number of months left in the race = 3
1. Riley wants to achieve each month a decrease of 15 seconds.
Integer representing the change = -15
2. Change in time i.e. 3 months is represented by integer 3.
3. There are a total of 3 months and there is a decrease of 15 every month.
so, multiplication expression is: -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image for the number line representation of the answer.
The arrow is from 0 to -45.
5. Total change in time is -45.
This change represents that achieving the goal will reduced the time by 45 seconds.
-4 5/6 + (3 1/3) =
How dI you do this?
these triangles are congruent by the triangle congruence postulate
Answer: SSS
Step-by-step explanation:
SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.
Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2
Answer:
y = 2x + 11
plug the values into y = mx+b:
3 = 2(-4) + b
solve, and you get
3 = -8 + b
b= 3+8 = 11
so, the equation is y = 2x+11
A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months
Answer:
17.7 meters
Step-by-step explanation:
x = 30
15 + 0.09*30
0.09*30 = 2.7
2.7 + 15 = 17.7 meters
1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years
Answer:
2,391 paid altogether. The interest Rate was another 391 dollars.
Step-by-step explanation:
CAN U GUYZ PLz HELP MEH??? PLZPLZPLZPLZPLZPLZPLZPLZPLZ???????
Please help asap!! Pretty simple if you understand I guess lol
Answer:
Step-by-step explanation:
the answer is 52
Answer:
angle z = 52
Step-by-step explanation:
solve for t
t+58=2t-12
t+70=2t
70=t
plug in the value of t in t+58
(70)+58
=128
note that angle y and z make supplementary angles, so
180-128
=52
If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?
Answer:
$600
Step-by-step explanation:
450➗75✖100= 600. The original price was $600.
Answer:
600
Step-by-step explanation:
450/.75=600 dollars
Find the slope
-5/4
4/5
-4/5
Answer:
The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B
Step-by-step explanation:
You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let us use this rule to answer the question
From the attached graph:
∵ The given line passes through points (-1, -2) and (4, 2)
→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = -2 and y2 = 2
→ Substitute their values in the rule of the slope above
∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]
∴ The slope of the line is [tex]\frac{4}{5}[/tex]
Which is the simplest form of this algebraic expression?
-(6x + 2y) + 4(2x - y)
Answer:
2x-6
Step-by-step explanation:
The first step is to distribute
The second step is to combine like terms and since its an expression you will not have a solution
A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for
Answer:
830.53 in²
Step-by-step explanation:
To find the area of one semicircle, find the area of the full circle and divide it by 2:
Use the circle area formula, A = [tex]\pi[/tex]r²
Plug in 3.14 as pi, and plug in the radius:
A = [tex]\pi[/tex]r²
A = 3.14(23²)
A = 1661.06
Divide this by 2:
1661.06 / 2
= 830.53
So, the area of one semicircle is 830.53 in²
Answer:
850.53 in² is the answer
In rhombus JKLM, if m
Solve for x. Perimeter = 126 meters
Answer:
image or context?????
Step-by-step explanation:
In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth
Answer:
A) 19.2 ft^2
B) 28.9 ft^3
Step-by-step explanation:
Thickness = 8 inches
Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal
lets assume the side = 10 inches
lets assume the thickness as the height of the prism = 8 inches
Assume length of the rectangle(l) = 5 feet
A) The surface area of the sandwich triangular prism
total surface area = bh + 2ls + lb
= 10*8 + 2(5*10) + ( 5 * 10 )
= 80 + 100 + 50 = 230 inches = 19.2 ft^2
B ) The volume of filing in cubic feet to the nearest tenth
V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex] ------- 1
where : a = b = c = 10 inches
h = 8 inches
input the given values into the equation 1 above
V= 346.41 inches ^3 = 28.9 ft^3
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?
Answer:
8 gallons left
Step-by-step explanation:
0.75 times 4=3
11-3=8
hope this helps :)
Seth is trying to pay off his credit card. He plans to pay it off in 24 months. Interest on the card is compounded monthly at a fixed annual rate of 11.6%. Seth currently has a balance of $18,875 on his credit card. Use the formula for the sum of a finite geometric series to determine Seth’s approximate monthly payment.
A.
Seth’s approximate monthly payment will be $753.97.
B.
Seth’s approximate monthly payment will be $834.75.
C.
Seth’s approximate monthly payment will be $884.99.
D.
Seth’s approximate monthly payment will be $868.35.
Answer:
$884.99
Step-by-step explanation:
Just took the quiz and this was the right answer. :)
Answer:
884.99
Step-by-step explanation:
How do you make comparisons between an equation and a graph?
Answer:
here is a hint
Step-by-step explanation:
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Compare slope of an equation and slope of a line on graph and compare y-intercepts.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
For linear equation,
Compare slope of an equation and slope of a line on graph and compare y-intercepts.
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Solve.
3(x-4) = -3
How do i slove this
Answer:
[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]
Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.
Answer:
You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.
Step-by-step explanation:
3(x)=3x
3(-4)=-12
3x+-12=-3
then evaluate using inverse operations to get x=3
Which of the following is r^2 + 4s evaluated for r = 4 and s = 1.5?
14
30
38
22
Answer:
22
Step-by-step explanation:
Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.
Hope This Helps!
Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?
Answer:40 miles
Step-by-step explanation:
5*4=20
20*2=40
Answer:
40 miles
Step by Step Explanation:
Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)
Round 0.00208815 to 3 significant figures
Solve for x. 0 = 2x² + 3x + 5
Answer: No real solutions.
Step-by-step explanation:
How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?
please help, i need it done soon
Answer:
Point C i think is: (33/8, 0)
Step-by-step explanation:
I hope this helps -w-
9) Draw a graph of the linear equation y= -2/-5x +3
A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?
Answer:
23
Step-by-step explanation: