Answer:
Step-by-step explanation:
make both improper fractions
21/5 - 4/3
cross multiply to get the same denominator of 15
63/15 - 20/15
subtract
43/15
simplify
2 13/15
hope this helps <3
Answer:
7/5
1.4 D
1 1/5
Line 1: 4x-6y= -6 Line 2: -3y=2x+5 Line 3: y= -3/2x-5 Are line 1 and 2: parallel, perpendicular, or neither? Are line 1 and 3: parallel, perpendicular, or neither? Are line 2 and 3: parallel, perpendicular, or neither?
Answer:
Line 1 and line 2 are neither parallel nor perpendicular
Line 1 and 3 are perpendicular to each other
Line 2 and line 3 are neither parallel nor perpendicular
Step-by-step explanation
Given the equations of the line
Line 1: 4x-6y= -6
Line 2: -3y=2x+5
Line 3: y= -3/2x-5
Before we can know which line is parallel or perpendicular to each other, we need to find their slope first
For line 1:
4x-6y= -6
Write in standard form y = mx+c
-6y = -4x - 6
Divide through by -6
-6y/-6 = -4x/-6 - 6/-6
y = 2/3 x + 1
The slope of line 1 is 2/3
For line 2:
-3y=2x+5
Divide through by -3
-3y/-3 =2x/-3 + 5/-3
y = -2/3 x - 5/3
The slope of this line is -2/3
For line 3:
y= -3/2x-5
this is already written in standard format. The slope of this line is -3/2
Note that for two lines to be parallel, they must have the same slope
For two lines to be perpendicular, the product of their slope must be -1
For line 1 and line2, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
For line 1 and line 3, we can see that their slope are not the same but the product of their slope is -1 (2/3 * -3/2 = -1), hence both lines are perpendicular.
For line 2 and line 3, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
Identifying the Rate of Change
Warm-Up
Which statements are correct? Check all that apply.
The graph shows the linear relationship between the
height of a plant (in centimeters) and the time in
weeks) that the plant has been growing.
The rate of change is 4.
The rate of change is 1.
24
y
20
The rate of change is 4.
16
Height (cm)
The plant grows 4 cm in 1 week.
o me plant grows 1 cm in 4 weeks.
12
Time (weeks)
Answer:
Data collected shows that the more you water, the larger your plant will grow. If you use the following Equation, y = 1/2x + 2 How tall will a plant be at 25 weeks if x is the number of weeks watered and y represents the height of the plant? Show your work.
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.
Answer:
12% increase
Step-by-step explanation:
Divide the difference between the two prices by the original price:
1.05/8.95
= 0.12
So, the percent change is 12%
State the equation of the line which has the y-intercept :
a) 2 and slope 7 .
b) -1 and is parallel to y= 5x - 7.
c) 2 and is inclined at 45 degree to the x- axis.
Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
At a fundraiser, a school group charges $6 for tickets for a "grab bag." You choose one bill at random from a bag that contains 39 $1 bills, 19 $5 bills, 3 $10 bills, 7 $20 bills, and 3 $100 bills. Is it likely that you will win enough to pay for your ticket?
Answer:
no, the probability is only about 18%
Step-by-step explanation:
there are total of 71 bills of varying denominations in the bag
you need to select a bill that is $10 or more to cover your $6 expense; therefore, P($ ≥ 10) = 3 + 7 + 3 / 71 or 13 /71, about 18%
A method for solving 5(x - 2) = 10 is shown below. Which step shows
distributive property?
A. 5x+2=10
B.5x-2=10
C.5x+10=10
D.5x-10=10
Answer:
D
Step-by-step explanation:
what information is necessary to prove two triangles are similar by SAS similarity thereom?
Answer:
two sides and an angle of the triangle should be equal
What is the measure of XYZ?
8 x 6 = (4 x 6) (__x 6)
= 24 + __
=
Answer:
8x6= (4x6) + (4x6)
= 24+24
= 48
Step-by-step explanation:
Hope this helps :)
Answer:
8×6=48
4×6=24 and 24×2=48
So I'm guessing 4,24,48
Please help me solve this and please also show work so I can understand it BETTER PLEASEEE ITS DUE
Answer:
6. 8b²-5b-4
7. -3x²+9x-4
8. 3
9. 6a+15
Step-by-step explanation:
you will subtract/add the numbers with the same variables and exponent.
ex. (number 6) 7b²+ b²= 8b²
5b= 5b 8b²+5b-4
1-5= -4
(plus 5b because it didnt come out to a negative) if you have any questions, say in the comments and ill try my best to help
3.
%.
Paul says that the grids show 150%.
Rebecca says that they show 75%
How could each be correct?
9514 1404 393
Answer:
Paul is using 1 grid = 100%; Rebecca is using 2 grids = 100%
Step-by-step explanation:
We assume that a full grid and half of another are shaded.
If 1 grid is taken to be 100%, then the total amount shaded is 100% +50% = 150%, as Paul says.
__
If the two full grids are taken to be 100%, then the full shaded grid is 50% of the total, and the additional half-shaded grid is 25% of the total. That makes a total of 50% +25% = 75% of the total being shaded, as Rebecca says.
Which expression doe
11/15-1/6
Answer:
Exact Form:
17/30
Decimal Form:
0.56
Step-by-step explanation:
Answer:
0.56 i think
Step-by-step explanation:
pls help i’m not good at this lol
Answer:
You selected the right one, 12^5 :)
Which is the coefficient in the expression 7pie+ 142
Answer:
7pie
Step-by-step explanation:
please help me on this.
Answer:
here
Step-by-step explanation:
so most of the time it would land on brown only 5% of the time would it land on red and the other there is a 0% chance
PLEASE HELP!! WILL MARK BRAINLIEST!!!!
Answer:
Choice A (-18.75 or -75/4)
Mariah drank 2/3 cup of orange juice. A serving size of is 5/6 cup. What part of a serving did she drink?
Answer:
80% of a serving
Step-by-step explanation:
First, convert 2/3 into 6ths
2/3 = 4/6
She drank 4 of 5 6ths
This is 80% of a serving
1.8 to 1 decimal place
Step-by-step explanation:
1.8
8 is 1 decimal place
1./8
8 > 5
1 change to 2
2.0
can yall help me with this one
Answer:
The answer for the dropdown section in x section is 5 and the answer for the dropdown section in the y section is 75
Step-by-step explanation:
Answer:
2 Pumpkins / 15 Dollars
5 Pumpkins / 37.5 Dollars
10 Pumpkins / 75 Dollars
Step-by-step explanation:
2 pumpkins for 15 dollars
that is what we have to work with here
the first step would probably be to figure out how much one pumpkin is, so we should divide the amount that we spent by the amount of pumkins that we got, which would look like
15 / 2 = 7.5
so 1 pumpkin = 7.5 dollars
now, to figure out how many pumpkins you can buy with 37.5 dollars, you would divide the amount of money spent by the amount that each pumpkin costs, which turns out to be
37.5 / 7.5 = 5
Now, to figure out how much money you would need for 10 pumpkins, you would multiply the number of pumpkins by the cost of a single pumpkin, which ends up being
10 x 7.5 = 75
6x-8y-x+3y please this is hard
6x-8y-x+3y
= (6x-x)+(-8y+3y)
= 5x+(-5y)
=5x-5y
Answer:
5x-5y
Step-by-step explanation:
Equation;
6x-8y-x+3y(Group like terms)
Which is going to be;
6x-x-8y+3y
Then you proceed to simplify;
5x-5y
This is the final answer
Solve. y −3 = 1 6 y =
Step-by-step explanation:
y - 3 = 16y original problem
y - 3 - y = 16y - y grouping variables
-3 = 15y Simplification
-3÷15 = 15y÷15 Isolating the variable
-1/5 = y the answer
I hope this helps!!!!!!
Convert 40.64 centimeters to inches.
1 Inch = 2.54 centimeters
PLS HELP!!!
3kg of meat costs £54
Nina buys 2 kg of the meat.
Work out how much Nina pays
Answer:
£36
Step-by-step explanation:
3kg = 54
÷ 3
1kg = 18
18 × 2 = 36
hope this helps...
A total of 559 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more student tickets than adult tickets. How many adult tickets were sold?
Answer: The answer is 500 hope this helps!
Step-by-step explanation:
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 10 ÷ 5 and 5 ÷ 10
Answer:
no, its not equivalent
Step-by-step explanation:
10/5= 2
5/10=0.5
Evaluate the expression if p = 1,1=-7, and s= -2.
-3p-21
6+4s
Plzz hurry!!
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The length of A B is 8, the length of B C is 5, and the length of B D is 15.
What is the value of s
Answer:
17 units
Step-by-step explanation:
just took the quiz
Answer:
17 units.
Step-by-step explanation:
Hope it helps!!!
Which statements are true? Select all that apply.
A. m∠WZX = 34°
B. m∠WXY = 123°
C. m∠XYZ = 46°
D. m∠WPZ = 90°
Answer:
C. and D.
Step-by-step explanation:
C.) Angle sum property, as XY = ZY
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.
Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready?
Let x represent the maximum and minimum time.
|x−15|=25
|x+15|=25
|x+25|=15
|x−25|=15
Answer:
x-25=15 or D
Step-by-step explanation:
I promise that is the answer
A customer bought 8.5 pounds of apples from a local produce market. If 1 pound = 16 ounces, how many ounces of apples did
the customer buy?
112 ounces
112 ounces
128 ounces
128 ounces
120 ounces
120 ounces
136 ounces
136 ounces
Answer:
136 ounces
Step-by-step explanation:
8.5*16=136
So 136 ounces