Given:
Equation of a line is
[tex]x-3y=-18[/tex]
To find:
The slope of the line perpendicular to the given line.
Solution:
The slope of the equation [tex]ax+by=c[/tex] is
[tex]Slope=-\dfrac{a}{b}[/tex]
We have,
[tex]x-3y=-18[/tex]
Here, a=1, b=-3. So, slope of this line is
[tex]m_1=-\dfrac{1}{-3}[/tex]
[tex]m_1=\dfrac{1}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let slope of perpendicular line is [tex]m_2[/tex].
[tex]m_1\cdot m_2=-1[/tex]
[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]
[tex]m_2=-3[/tex]
Therefore, the slope of the perpendicular line is -3.
4. Which of the following is NOT an example of annuities?
a. pension
b. educational plan
d. deposit
c. car loan
D. deposit
kaakakashshhhshssbs
hi guys i need help with this so smart ppl please help! :))
Answer:
First Blank: -0.20
Second Blank: -0.20
Third Blank: -32
Step-by-step explanation:
Is this a positive slope or a negative slope????
Answer : Negative ( sorry i i get it wrong but i tried)
Step-by-step explanation:
GIVING BRAINLIEST!!)
Write a story that represents 1/2 ÷ 3 ______.
Solve the equations and complete the story
Use multiplication to explain why the answer you found is correct
Answer:
Step-by-step explanation:
Fred, Ben, and George bought a pizza. George's sister and her friends ate some of the pizza, they left 1/2 of the whole pizza. Fred decided that they should share the remaining pizza equally. How much of the pizza will they each get?
1/2 ÷ 3 = 1/6
The three boys will each get 1/6 of the pizza.
Hope this is good! :3
Jill's weight is 92 kg 250 g. Jill's sister's weight is 8 kg 600 g less than Jill's weight. How much does the sister weigh?
Answer:
S = 83 g and 650 kg.
Step-by-step explanation:
Gram (g)= 1000 kilograms (kg).
Jill (J)= 92000 + 250 kg.
J = 92250 kg
Sister (S) = J - (8000 + 600 kg)
S = 92250 - 8600 kg
S = 83650 kg.
S = 83 g and 650 kg.
Please help me ASAP
Answer:
12
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
4*4*4=64
what is 3 divided by 7 times 56 minus 45
Answer:
-21 is correct
Step-by-step explanation:
&$,#;#&#>#*÷
(What number makes the equation true? Enter the answer )4=20 divided by
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
We can divide 20 by 4 to find the other number that 20 is divisible by. 20 divided by 4 is 5. So, 20 divided by 5 is 4.
introduces a study where researchers studying the relationship between honesty, age, and self-control conducted an experiment on 1G0 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group. (a) Identify the population of interest and the sample in this study. (b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
Answer:
The solution to this question can be defined as follows:
Step-by-step explanation:
In choice a:
Both children between 5 and 15 years old and 160 years old are also the populations of interest, and Kids from 5 to 15 years of age.
In choice b:
These findings could be compared like we do not know whether the groups were randomly selected, and the allocation is still not random; there could be no casual conclusion because the statement is valid even With sample research, and after randomization, filtering, and testing of 160 specimens (instruction vs no-instruction) Its analysis can be common to the community and replicated. There could be explanatory relations generated by experimental research. This analysis is observational and can therefore be used Causal relationships are established.gggg
From which store should Dylan make his purchase if he wants to get the best price per unit?
Answer:
Store 1
Step-by-step explanation:
Given
See attachment
Required
Determine the store with the best price per unit
It should be noted that the store with the best has the least price per unit.
So, we have:
Store 1
[tex]Quantity = 10\ ft[/tex]
[tex]Price = \$2.50[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$2.50}{10\ ft}[/tex]
Rate = $0.250 per feet
Store 2
[tex]Quantity = 2\ yd[/tex]
[tex]Price = \$1.85[/tex]
Convert quantity to feet
[tex]Quantity = 2 * 3ft = 6ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$1.85}{6\ ft}[/tex]
Rate = $0.308 per feet
Store 3
[tex]Quantity = 12\ ft[/tex]
[tex]Price = \$3.40[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$3.40}{12\ ft}[/tex]
Rate = $0.283 per feet
Store 4
[tex]Quantity = 5\ yd[/tex]
[tex]Price = \$4.00[/tex]
Convert quantity to feet
[tex]Quantity = 5 * 3ft = 15ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$4.00}{15\ ft}[/tex]
Rate = $0.267 per feet
From the calculations above; store 1 has the least unit rate.
Hence, store 1 has the best price per unit
i only need number 7 and 9 please help and show work
Answer:
9
1=49
2=131
3=131
Step-by-step explanation:
1=4
2,3=180-49
and you should answer 7 like this
HELP PLZZZzZZZZZZZ ASAP !!
Answer:
1 8/25
Step-by-step explanation:
1 32/100 = 1 8/25
Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Lupe was $11 an hour,but only received a $300 bonus. How many hours would they need to work in order to get paid at the same at tye end of the summer?
Answer:
Step-by-step explanation:
First make an equation,
8x+500=11x+300
Then, with pemdas, cancel out 300 and 8x
200=3x
Divide both sides by 3
Answer is 66.6 reapeating or about 67 hours
Uhh I’m kinda rly confused pls help
Answer: C. 1/r^10
Step-by-step explanation:
when you are dividing two exponents, you have to subtract them.
Subtract numerator by denominator: 2 - 12 = -10
when you have negative exponent you have to put a one at the numerator
Answer: 1/r^10
PLEASE HELP!!!!!!!!!!!!
Look at the graph
what is the slope?
simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
5
Step-by-step explanation:
Rise over run
Rises 10, runs 2
10/2 =5/1= 5
Answer:
5
Step-by-step explanation:
for every 1 unit on x-axis graph moves 5 units up on y-axis
The graph of g(x) = (x + 2)2 is a translation of the
graph of f(x)
V
by
units.
[It’s left by 2 units l! No ads :)]
Help!! Which inequality models the word sentence? A number reduced by 10 is more than 25. Question 2 options: m-10>25 m-10<25 m−10≤25 m−10≥25
Answer:
Option 4
Step-by-step explanation:
4 2/5+k=−3 2/11
Need help
Answer:
2/11
Step-by-step explanation:
Here we have two mixed numbers. Be very careful when handeling negative mixed numbers. Don't coonfuse "-3 2/11" with "-3 + 2/11"
4 2/5 + k = -3 2/11
I add a minus into the mixed fraction on the right. Of course you don't have to write an entire new line when you do calculations on paper.
4 2/5 + k = -3 -2/11
k = - 3 - 4 - 2/5 - 2/11
k= - 7 -2/5 -2/11
Make common denominators. Both 11 and 5 is prime numbers (numbers that are only divisible by one and itself). Therefore the common denominator is 5*11=55.
k= - (7*55)/55 - (2*11)/(5/11) - (2*5)/(11*5)
k = - 385/55 - 22/55 -10/55
k = - (385 +22+10)/55
k = - 417/55
Since 417 isn't divisible by neither 11 nor 5, this fraction is in it's simplest form.
btw correct me if i am wrong
Answer:
[tex] k = - 1 \frac{12}{55} [/tex]
Step-by-step explanation:
[tex]4 \frac{2}{5} + k = 3 \frac{2}{11} \\ \frac{22}{5} + k = \frac{35}{11} \\ k = \frac{35}{11} - \frac{22}{5} \\ k = \frac{175 - 242}{55} \\ k = \frac{ - 67}{55} \\ k = - 1 \frac{12}{55} [/tex]
Can I have the brainliest please ??
Terry pays £480 per month in rent.
His landlord decides to increase the rent by 7.5%.
How much rent does he pay now?
Answer: £516
Step-by-step explanation:
7.5 increase = 100 + 7.5 = 107.5
107.5/100 = 1.075 (multiplier)
480 x 1.075 = 516
Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3,6).
Answer:
[tex]y=2x[/tex]
Step-by-step explanation:
We want to write an equation in slope-intercept form that passes through the points (2, 4) and (3, 6).
So, we will first find the slope. Let (2, 4) be (x₁, y₁) an let (3, 6) be (x₂, y₂).
The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, by substitution, our slope is:
[tex]\displaystyle m=\frac{6-4}{3-2}=\frac{2}{1}=2[/tex]
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
By substitution:
[tex]y-(4)=2(x-(2))[/tex]
Distribute:
[tex]y-4=2x-4[/tex]
Adding 4 to both sides yields:
[tex]y=2x[/tex]
And we have our equation.
In this case, the y-intercept is 0.
Two cars leave towns 760 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they meet in 4 hours, what is the rate of the slower car
Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
Please help me ASAP!! Thank you!!
Answer:
2x+y < 7
Step-by-step explanation:
We are below the line which means less than ( since the line is dotted)
We need to determine the equation for the line
The y intercept is 7 and the slope is
( 0,7) and (2,3)
m = ( 3-7)/( 2-0) = -4/2 = -2
In slope intercept form ( y=mx+b)
y = -2x+7
Changing this to an inequality
y < -2x+7
Add 2x to each side
2x+y < 7
a rectangles side lengths are 8 cm and 4 cm. Approximate the length of the diagonal of the rectangle to the nearest tenth.
Answer:
8.4cm
Step-by-step explanation:
first you have to square both sides
8²+4²= Hypotenuse (the diagonal)
you'll get
56 + 16
next you add it, and it'll equal 72
lastly you'll find the square root of that number
which is going to give you 8.4
A train covers 165 km in 1.5 hours. Do these quantities (distance and rime) vary directly or inversely?
Answer:
directly
Step-by-step explanation:
directly because it is a straight line
Help on both questions plz
Answer:
1. 109.5 . 2. 3.75
Step-by-step explanation:
1. 30% of 365 = 109.5
365-109.5 = $255.5
2. 15% of 25 = 3.75
In the expression 3x - 4y + z, what is the
coefficient of z?
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of a variable. There is a hidden coefficient of 1 in front of z. The reason it is not shown is because any number multiplied by 1 is just that number so showing the 1 is redundant.
The coefficient of z in the expression 3x- 4y +z is 1.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
3x - 4y + z
As, we know a coefficient is a number that is multiplied by a variable.
So, the coefficient of x is 3, coefficient of y is 4 and coefficient of z is 1.
Learn more about expression here:
https://brainly.com/question/14083225
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Tom drive 200 Miles in 4 hours He drives the first 32 miles at an average speed 64 mph Work out the average spoed of journey
Answer:
50mph
Step-by-step explanation:
Step one:
given data
Tom drive 200 Miles in 4 hours
He drives the first 32 miles at an average speed 64 mph
The average speed = total distance/total time take
Average speed= 200/4
Average speed= 50mph
3. You and your friends were playing basketball last week. You were short a
player, so your younger sister joined the game. She crushed it scoring 12
shots for 28 points.
How many 2 point and 3 point baskets did she score?
Answer:
she scored 8 2 pointers and 4 3 pointers
Step-by-step explanation:
Carl sees 25 melons at the store. 15 are small and the rest are large. How many melons are large?
Answer: 10 large melons
Step-by-step explanation:
Carl saw 25 melons at a store.
Of these 25, 15 were small and the rest were large.
The number of large melons will have to be the whole total of 25 melons less the number of small melons which is 15:
= 25 total melons - 15 small melons
= 10 large melons
Rectangle: 1 side 82 inches. Area of rectangle is 6.068 what is the other side measurement
Answer:
[tex]Side_2 = 74\ in[/tex]
Step-by-step explanation:
Given
[tex]Side_1= 82\ in[/tex]
[tex]Area = 6068\ in^2[/tex]
Required
Determine the length of the other side
For a rectangle:
[tex]Area = Side_1 * Side_2[/tex]
This gives:
[tex]6068\ in^2 = 82\ in * Side_2[/tex]
Divide both sides by 82in
[tex]\frac{6068\ in^2}{82\ in} = \frac{82\ in}{82\ in} * Side_2[/tex]
[tex]\frac{6068\ in^2}{82\ in} = Side_2[/tex]
[tex]Side_2 = \frac{6068\ in^2}{82\ in}[/tex]
[tex]Side_2 = 74\ in[/tex]
Hence, the length of the other side is 74 inches