the sum of two rational numbers is -8 1/4. if one of the numbers is -5 2/3, find the other number.
Answer:
-2 7/12
Step-by-step explanation:
Let x represent the unknown number.
x + (-5 2/3) = -8 1/4
Adding 5 2/3 to both sides of the equation tells us ...
x = 5 2/3 -8 1/4 = -2 7/12
The other number is -2 7/12.
_____
The difference can be found as ...
-(8 1/4 -5 2/3) = -(8 3/12 -5 8/12) = -((8 -5) +(3/12 -8/12)) = -(3 -5/12)
= -(2 7/12)
L.C.M of x2 + 3x + 2 and x2 + 4x + 3
Answer:
Step-by-step explanation:
x^2 + 3x + 2 = (x+1)(x+2)
x^2 + 4x + 3 = (x+1)(x+3)
LCM = (x+1)(x+2)(x+3) = (x^2 + 3x + 2) (x+3) = x^3 + 6x^2 + 11x + 6
Step-by-step explanation:
1st expression
x2 + 3x + 2
x²+2x+x+2
x(x+2)+1(x+2)
(x+2)(x+1)
2nd expression
x2 + 4x + 3
x²+3x+x+3
x(x+3)+1(x+3)
(x+3)(x+1)
L.C.M=(x+1)(x+2)(x+3)
im so confsued how do i use the app and what are the point thingys for
Answer:
This app "Brainly" Is for students by student.
Step-by-step explanation:
Its a platform that allow students to ask students questions, and you help each other out. The points are just a way to reward people for answering.
Hope this helps!
All the love, Ya boi Fraser :)
yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeessssssssssssssssssssssssssssAnswer:
Step-by-step explanation:
Answer ASAP. 1+ 4.25n + 3/2 p-3+ (-2p) + 5/4n
Answer: this is a lot alright , 8n +4p
Step-by-step explanation:
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty
Answer:
150 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - This is the pond in a shape of a prism, it is completely full of
water. Colin uses a pump to empty the pond. The level goes
down by 20 cm in the first 30 min.
To find - Work put how many minutes Colin has to wait for the pond
to completely empty.
Proof -
Given that,
Height of prism = 1 m
Also,
Base of the prism is trapezium and
Sides of the trapezium are 0.6 m and 1.4 m
Height of trapezium is 2 m
We know that,
Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height
= [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2
= [tex]\frac{1}{2}[/tex]× (2)× 2
= 2 m²
⇒Area of trapezium = 2 m²
Now,
Volume of prism = Area of trapezium × height of prism
= 2 m² × 1 m
= 2 m³
⇒Volume of prism = 2 m³
Now,
Given that the level goes down by 20 cm in the first 30 min
We know
100 cm = 1 m
⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m
⇒20 cm = 20×0.01 m = 0.2 m
⇒The level goes down by 0.2 m in the first 30 min.
Also,
we know that height of water = height of prism = 1 m
So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m
Also,
Volume of Remaining water = Area of trapezium × height
= 2 m² × 0.8 m
= 1.6 m³
⇒Volume of Remaining water = 1.6 m³
Now,
Volume of emptied water = Total Volume - Volume of Remaining water
= 2 m³ - 1.6 m³
= 0.4 m³
⇒Volume of emptied water = 0.4 m³
Now,
0.4 m³ water will be empty in 30 minutes
⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes
⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes
∴ we get
The remaining water is empty in 120 minutes
So,
Total pond is empty in 120 + 30 minutes
⇒Total pond is empty in 150 minutes
write an exponential function to describe the given sequence of numbers
2, 4, 8, 16, 32
the correct answer is HIGHLY appreciated, ill give brainliest if its *correct*
Answer:
The next one is 64. Can you mark branliest if it's right?
Answer:
F(x) = x^1 * 2
Step-by-step explanation:
given X= -7 what is the value of the following expression 4(X-5)+2
Answer: -46
Step-by-step explanation: Place -7 into the equation. 4(-7-5)+2= 4*-7=-28,-4*5=20. Negative 28 minus 20 is -48. Negative 48 + 2 is -46.
angle relations
A) 73°
B) 149°
C) 163°
D) 31°
Answer:
D
Step-by-step explanation:
those angles are vertical angles so they are congruent.
-8x-y=20 y=-4x
what is the substitution?
Answer:
For the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 1 , 4 )
Equation Form:
x = 1 , y = 4lanation:
Please help me with these questions ..... sorry if it’s a lil blurry
Answer:
1. 8
2. 7
3. 8/3
4. c 27
Step-by-step explanation:
1. Find 1 26/2=13 104/13=8
Just find the unit rate to help you solve
HI GUYS PLEASE HELP WILL MARK YOU BRAINLIEST IF YOU HELP!! Distribute & combine like terms
Answer:
1: 25c+10
2: 29a+18b
3: -2b+24n+11-12m
4: 23m+10
5: 8x+3y+16
15 is 125% of what number
Answer:
12 12 12 is the answer
Step-by-step explanation:
Answer: 12.
Answer:
15 is 125% of 12.
Step-by-step explanation:
What are the x- and y-intercepts of the graph of 15x - 2y = 21 ?
Answer:
The X- intercept is (7/5,0) and the Y intercept is (0,-21/2)
Step-by-step explanation:
Please need answer help help?!?!?
Answer:
5
Step-by-step explanation:
choose the correct answers !!!!!!!!!! Will mark Brianliest !!!!!!!!!! Please helppp !!!!!!!!!!!!!!!!
Answer:
non the avibe
Step-by-step explanation:
xu x6y8z9vtgkxih 174374t6fivH tin s6d
Answer:
1,3, and 4
Step-by-step explanation:
Consider the line y = 7x-5.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
[tex]\boxed {\sf Parallel: 7 }[/tex]
[tex]\boxed {\sf Perpendicular: -\frac{1}{7}}}[/tex]
Step-by-step explanation:
First, identify the slope.
We are given the line y=7x-5.
This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.
m=5Now, find the parallel and perpendicular slopes.
1. Parallel Slope
Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.
2. Perpendicular Slope
Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.
Negate the slope: 7⇒ -7 Find the Reciprocal (flip the numerator and denominator: -7/1 ⇒ -1/7A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.
Answer:
I'll help
Step-by-step explanation:
Parallel lines have the same slope so it will be 7.
And perpendicular lines if you multiply them together they have to add up to -1,
So 7 you change it to its opposite which is 1 over 7 and yeah just
PLSS HELP ASAP!! Ava writes each letter of the alphabet on separate note
cards and puts the cards in a hat. How many times
would you expect Ava to pick a letter from her name if she picks a card 50 times, returning the card to the hat
each time?
A about 2 times
B about 4 times
C about 13 times
D about 26 times
Answer:
I think about 2 to 4 times. Sorry if it isn't helpful... O^O
name the property of: 3x + 2=2 + 3x
Johanna is online shopping for a dress she really wants. The original cost of the dress is $50. She saw that exact same dress on sale for $34.What is the percent decrease for the dress Johanna wants to buy? Explain in writing/typing how you would solve the problem.
Answer:
32%
Step-by-step explanation:
50-34=16
16/50=0.32
0.32 x 100= 32
What is this, (2r-1)(r-1)? I'm so confused.
Answer:
It looks like the factored form of a polynomial
Step-by-step explanation:
In unfactored form, it would be this:
2r^2 + -2r + 1
need help again !!!! Anyone plzzzz ?
i have 8 boxes of chocolate i eat 3 chocolates from each box i now have 72 chocolates in total
Answer: there were 12 chocolates in each box. (Originally, before any got eaten)
Step-by-step explanation: let x represent the total amount of chocolates in each box.
8x - 3(8) = 72
8x - 24 = 72 add 24 to both sides
8x = 96 divide both sides by 8
X = 12
Answer:
That means you had 48 chocolates in each box
Step-by-step explanation:
Since you eat 3 chocolates from all 8 boxes, you do this:
8 x 3 which = 24
Now since you have 72 chocolates left you do this:
72 - 24 which = 48
So, therefore, there were originally 48 chocolates in each box
(Don't eat so much chocolate lol you could get sick)
Can somebody solve this
Answer:
A
Step-by-step explanation:
Hope this will help
Answer:
I think so it is option A)
I hope this might help u
The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find
the mean, median, mode, and standard deviation. Round to one decimal place as needed.
20, 22, 26, 27, 30, 31, 35, 35
Mean =
Median =
Mode =
Standard Deviation =
Mean = 28.3 , Median = 28.5, Mode = 35, Standard deviation = 5.2
(All of the above are rounded off to one decimal place)
How to find mean, median, mode ?
The given data are : 20, 22, 26, 27, 30, 31, 35, 35
We know that, mean = (sum of samples)/(no. of samples)
= (20+22+26+27+30+31+35+35)/8
= 226/8 = 28.25 = 28.3 (approx)
Here, median = (sum of 4th & 5th sample)/2
= (27+30)/2 = 57/2 = 28.5
Since 35 appears highest number of times, i.e. 2 times, then we can say that mode is equals to 35
What is the required standard deviation ?Standard deviation = √{(20-28.3)²+(22-28.3)²+(26-28.3)²+(27-28.3)²+(30-28.3)²+(31-28.3)²+(35-28.3)²+(35-28.3)²}/8
= √{68.89+39.69+5.29+1.69+2.89+7.29+44.89+44.89}/8
= √(215.52/8) = √(26.94) = 5.190 = 5.2 (approx)
Learn more about mean, median, mode, and standard deviation here :
https://brainly.com/question/21498951
#SPJ2
FIND THE PRODUCT.
62 X 77 =
Answer:
47.74
Step-by-step explanation:
What is the volume of this container brainliest badge
Answer:
your answer would be 1253in^3
Step-by-step explanation:
there are two boxes
one box has the dimensions 7,5,5
the other has the dimensions 14,11,7
you would have to multiply all the dimensions
7*7*5=175
14*11*7=1078
then you add the two products together
1078+175=1253
hope this helps! have a nice day :)
Answer:
1253in^3
Step-by-step explanation:
7*7*5=175
14*11*7=1078
then you add the two products together
1078+175=1253in ^3
i hoped i helped ^ ^
what is 5.2x10^2 in standard form
Please help answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!
Answer:
Step-by-step explanation:
(4,3) and (6,9)
difference of x-coordinates = 6-4 = 2
difference of y-coordinates = 9-3 = 6
distance between points = √(2²+6²) = √40 = 2√10
A Sb BC
B ABS SCT
C BAT CTA
D BA CA
HELP ME
Sammy and Jean are packing bags of candies for a party. They have 152 candies and want to put 12 candies in each bag. Write a fraction to show how many bags can they fill.
Answer:
You'll be able to 12 & 6/10 of the bags
Step-by-step explanation:
The rounded version is 12 but since there is a decimal you'll then translate it into a fraction I got the answer I did by dividing 152 by 12 then getting the answer of 12.6666~ I translated the decimal into a fraction
Answer:
6/10 I believe :)
Step-by-step explanation: