Dividing fractions is the same as multiplying the reciprocal.
As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.
Keep: [tex]\frac{4}{9}[/tex]
Switch: the division sign to multiplication.
Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].
Now, your problem looks like this:
[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)
Multiply across.
4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.
Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.
Answer:
The correct option is Option C
Step-by-step explanation:
We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]
The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]
In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)
In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)
The opposite reciprocal of -4/5 is 5/4
So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.
If the lines are parallel there slope must be same. Hence lines are not parallel as well.
So, The correct option is Option C
Answer:
c
Step-by-step explanation:
Solve x for me please I need it!!!
Answer:
The angle x° = 34°
Step-by-step explanation:
Given the right-angled triangle
right angle = 90° Given the angle = 56°We know that the sum of angles of a triangle = 180°
so
90° + 56° + x° = 180°
x° = 180°- 90° - 56°
x° = 34°
Therefore, the angle x° = 34°
A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *
Answer:
$21 x 30 = 630 (630 the answer)
Step-by-step explanation:
The sum of two numbers is 68 and the difference is 12. What are the numbers? Larger number: Smaller number:
Answer:
This is hard asfk
Step-by-step explanation:
Sorry but im confused just as you.
When you’re multiplying or dividing same sign numbers, what will your product or quotient be?
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.
Will mark brainliest for whoever answers
Answer:
No
Step-by-step explanation:
You have to do it.
carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?
Answer:
24 pies
Step-by-step explanation:
Let x represent the number of pies and set up an equation:
6x = 3.75x + 54
Solve for x:
6x = 3.75x + 54
2.25x = 54
x = 24
So, Carrie and Joel have to sell 24 pies to break even
The price of a smartphone increased from $25 to $40. Find the percent
increase
Answer:60% increase
Source:trust me bro
Answer:
= 60% increase
Step-by-step explanation:
Help please I would really appreciate it
Answer:
5°
Step-by-step explanation:
4x+81=13x+36
answer is 5°
(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.
Constant of Proportionality =
Answer:
Fraction form:
[tex]\frac{3}{4}[/tex]
For every 3 dollars, there are 4 cookies
Step-by-step explanation:
To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.
Hope this helps! :)
Anyone know this pls help me
HELP! i'll give brainliest just please help me ;(
Find 12.43 more than 4.065.
Answer:
16.495
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
16.405
Step-by-step explanation:
since you need to find more add 12.34 + 4.065= 16.405
There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?
Answer:
Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds
Step-by-step explanation:
14+28=42
14/42=1/3
28/42=2/3
on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot
Answer:
a
Step-by-step explanation:
Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds
Answer:
12 pounds
Step-by-step explanation:
You have to divide the mass value by 16.
There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !
Answer:
304.8 millimeters
Step-by-step explanation:
Answer:
0.003
Step-by-step explanation:
please solve this i need this answer
Answer:
GHC
Step-by-step explanation:
Answer:
the co-interior angle of angle AGH is Angle GHC.
Plz need help rn What is m
Answer:
measure of angle p=
94
Step-by-step explanation:
ok 5 sided polygon= 540
so put all of those equal to 540
need to find x first
540=132+(4x-10)+(5x-11)+128+(4x+2)
simplify and combine like terms
x=23
now plug in for angle p
(4(23)+2)
94
Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
Answer:
100feet
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
y = 100 feet
Hence the maximum height reached by the object is 100feet
WHAT in the valuE of 3n=1 when n=4?
Answer: 4
Step-by-step explanation:
Find $m\angle LKM$ .
Answer:I need a picture or numbers to answer
Step-by-step explanation:
Can someone help plz
Answer:
84g
Step-by-step explanation:
399÷19=21
21 x 4 = 84
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answer:
look at graph
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
12 cups= 3 quarts
there ya goo
(Timed) Solve the system of equations work shown
Substitution Method
For x:
[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]
For y:
[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]
Solution:
[tex](14, 15.5)[/tex]
Graphing Method
According to this graph, the solution will be [tex](14, 15.5)[/tex].
PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x
Step-by-step explanation:
multiply all the numbers by 4 I think except for the exponent
Answer:
i-i13/2 hope this helps
Step-by-sitep explanation:
Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
simplify 6 + 15 x 72=
Answer:
1086
Step-by-step explanation:
BODMASS (Multiplication first, addition after)...
15×72= 1080
1080+6= 1086
hope it helps
Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.
PEMDAS:
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
That's the order of operations if you ever want to know what to do first.
Plz help me answer this
Answer:
(1, 7)
x = 1
y = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
-5x + 2y = 9
y = 7x
Step 2: Solve for x
Substitution
Substitute in y: -5x + 2(7x) = 9Multiply: -5x + 14x = 9Combine like terms: 9x = 9Isolate x: x = 1Step 3: Solve for y
Define original equation: y = 7xSubstitute in x: y = 7(1)Multiply: y = 7Answer: x = 1 and y = 7
Step-by-step explanation:
first you substitude y for 7x
-5x + 2(7x) = 9
then you distribute
-5x + 14x = 9
then you combine like terms
9x = 9
then you divide both sides by 9
x = 1
then you subsitute the x value in the other equations
y = 7(1)
meaning y = 7