Given:
The two points are (-2,3) and (-4,-2).
To find:
The gradient of the line segment between the given points.
Solution:
The gradient is also known as slope.
The slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is
[tex]m=\dfrac{-2-3}{-4-(-2)}[/tex]
[tex]m=\dfrac{-5}{-4+2}[/tex]
[tex]m=\dfrac{-5}{-2}[/tex]
[tex]m=\dfrac{5}{2}[/tex]
Therefore, the gradient of the given line segment is [tex]m=\dfrac{5}{2}[/tex].
Micheal has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt, what is the probability he chooses green or red.
a) 1/3
b) 1/4
c) 5/12
d) 7/12
Answer:
D. 7/12
Step-by-step explanation:
First, find the total number of shirts in his closet:
4 + 3 + 5
= 12
Now, find how many are green or red:
4 + 3
= 7
Since 7 out of 12 shirts are green or red, the probability that Micheal chooses green or red is D. 7/12
Which of these is a geometric sequence?
A. 3, 6, 9, 12,...
B. 2, 3, 5, 9, 17
C. 4, 2, 1, 1/2, 1/4
D. 3,-15, -33, -51, -69,
Answer:
C. 4, 2, 1, 1/2, 1/4
Step-by-step explanation:
Geometric is normally either division or multiplication sequences. C has the division sequence of dividing by 2.
A would be an example of an arithmetic sequence.
The series 3, 6, 9, 12,... and 4, 2, 1, 1/2, 1/4 are geometric series.
Options A and C are the correct answer.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
Looking at the options:
A.
3, 6, 9, 12,... is a geometric sequence with a common ratio of 2.
Each term is found by multiplying the previous term by 2.
B.
2, 3, 5, 9, 17 is not a geometric sequence because there is no constant ratio between terms.
C.
4, 2, 1, 1/2, 1/4 is a geometric sequence with a common ratio of 1/2.
Each term is found by multiplying the previous term by 1/2.
D.
3,-15, -33, -51, -69, is not a geometric sequence because there is no constant ratio between terms.
Therefore,
The series 3, 6, 9, 12,... and 4, 2, 1, 1/2, 1/4 are geometric series.
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Triangle ABC is similar to triangle XYZ. Solve fort. t=1 С 13.5 12 А A 19.5 B 4 Y 2 4.5 t Х
Answer: 6.5
Step-by-step explanation:
9.
Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account. Model the situation with a linear function.
b = 195 – 15x
b = 210 + 15x
b = 195 + 15x
b = 210 – 15x
someone pls lend a hand pls
Answer:
136
Step-by-step explanation:
10x5=50
10-6=4
4x8x.5=16
10x7=70
50+16+70=136
Please help. Easy consumer math.
Which of the two vehicles has a higher total cost after two years?
a. SUV
b. Car
c. They are the same.
The total cost of the vehicle is higher for the car
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
The total cost for the SUV is given by
y₁ = 2,840x + 17,980
And , the total cost for the car is
y₂ = 3,210x + 17,980
when x = 2 years
y₁ = $ 23,660
y₂ = $ 24,400
The cost of the car is greater than cost of the SUV
Hence , the linear equations are solved
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Help Please I am really confused whoever helps gets Brainliest (if its correct)
Answer:
hi :)
910
use a percantage calculator, i looked it up and 182 percent of 500 would be 910
Step-by-step explanation:
Solve for x: 2 over 3 (x − 2) = 4x. (1 point)
negative 2 over 5
negative 5 over 2
2 over 5
5
A shoe store recorded the price (in dollars) of 175 pairs of women's shoes and 175 pairs of men's shoes. The data collected was used to create the following table.
Picture
Which statement accurately describes the difference in the price of men's and women's shoes at this store?
The price of women's shoes varies less than men's shoes.
Most of the men's shoes in the data set cost more than women's shoes.
Most of the women's shoes in the data set cost more than men's shoes.
The price of men's shoes has a higher interquartile range than that of women's shoes.
Answer:
Most of the men's shoes in the data set cost more than women's shoes.
Step-by-step explanation:
From what I could tell it can't be The price of men's shoes has a higher interquartile range than that of women's shoes. becuse that's false what looks to fit is Most of the men's shoes in the data set cost more than women's shoes. since on the graph more of the mens vaules are bigger
Will give Brainly please help
Answer:
B. 95º
Step-by-step explanation:
Supplementary angles are ones that add up to 180º.
So if angle 1 is 85º, then the equation would be:
(x-the measure of angle 2)
X + 85 = 180
Solve for x:
X + (85-85) = 180-85
X = 95.
Hope this helps! Have a great day!
Answer:
it is B) 95
Step-by-step explanation:
supplementary mean equals to 180. in a triangle problem all the angles should add up to 180. so you take 180 and subtract the number you already have which is 85 and you get 95
Vedant runs around a square park of side 42m, three times. Rehan runs around a rectangular park of length 40m and breadth 18m, five times. Who covers more distance? By how much?
Answer:
Rehan;
76m
Step-by-step explanation:
Distance covered by running around square park :
Perimeter of square = 4s ; s = side length of square
Perimeter = 4 * 42m = 168 m
Total distance covered = 168m * 3 = 504m
Distance covered by running around rectangular park :
Perimeter of rectangle = 2(l + w) ;
Perimeter = 2(40 + 18) = 2(58) = 116 m
Total distance covered = 116m * 5= 580m
580m - 504m = 76m
Rehan covered more distance
I need help ASAP!!!!!!!!!!!!!!!!!!!
Answer: Length of each side of the building block will be 1 feet.
Answer:
23/45
Step-by-step explanation:
Rebecca bake 200 cookies for the State Fair 60% were oatmeal 120 were lemon and 20 were chocolate what percentage of cookies were not oatmeal?
Answer:
100 - 60 is 40 so it is 40%
Step-by-step explanation:
PLEASE HELP
7x-3= -24 what is x and how do you find it?
Answer:
x = -3
Step-by-step explanation:
7x - 3 = -24 (Given)
7x - 3 + 3 = -24 + 3 (Added 3 on both sides by using the addition property of equality)
7x = -21 (Simplified)
7x/7 = -21/7 (Divided 7 on both sides by using the division property of equality)
x = -3 (Simplified)
Therefore, x = -3.
Answer:
x= -3
Step-by-step explanation:
You do the opposite.
So,
-24 +3
= -21
-21/ 7
= -3
Therefore, the answer is -3
Dorothy is thinking of two numbers. The sum of the two numbers is 40 and the difference is 6. Write a system of equations and use the elimination method to find the two numbers.
Answer:
x = 23
y = 17
Step-by-step explanation:
x = 1st number
y = 2nd number
System of Equations:
x + y = 40
x - y = 6; this can be used as x = 6+y
6+y + y = 40
6 + 2y = 40
2y = 34
y = 17
x + 17 = 40
x = 23
Assuming similarity, find the value of x.
Answer:
20
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
9/4 = 2.25
8/18 = 2.25
2.25 x 10 = 22.5
simple ratio work and multiplictaion
12. ALGEBRA Sherri Cole found that the 12-ounce can of frozen orange juice
sells for $0.16 less than the 16-ounce can, which is $0.68 less than the
24-ounce can. If the unit price of the 24-ounce can is $0.005 less than the
unit price of the 12-ounce can, which of the three is the best buy based
on the lowest unit price?
Answer:
96 = x
Step-by-step explanation:
I'm going to use cents instead of dollars because I find decimals and fractions to be cumbersome. I assume you meant $.005 instead of 4.005.
Let x denote the price (in cents) of the 12-ounce can. Then the price of the 16-ounce can is (x + 16) cents, and the price of the 24-ounce can is ((x + 16) + 68), or (x + 84) cents.
The unit price (cents per ounce) of the 12-oz can is x/12
The unit price of the 16-oz can is (x + 16)/16
The unit price of the 24-oz can is (x + 84)/24
You are told that, in terms of x,
(x + 84)/24 = x/12 - 0.5
Multiply both sides by 24:
x + 84 = 2x - 12
Solve for x:
96 = x
So the unit prices (in cents per ounce) are:
12 oz: 96/12 = 8 cents/oz
16 oz: 112/16 = 7 cents/oz
24 oz: 180/24 = 7.5 cents/oz
So the 16 ounce can is the best buy based on lowest unit price.
In this exercise we have to use the knowledge of finance to calculate the best price to be offered, in this way:
[tex]12 oz: 96/12 = 8 cents/oz\\16 oz: 112/16 = 7 cents/oz\\24 oz: 180/24 = 7.5 cents/oz[/tex]
Some values should be simplified as they were informed in the statement:
The unit price (cents per ounce) of the 12-oz can is x/12The unit price of the 16-oz can is (x + 16)/16The unit price of the 24-oz can is (x + 84)/24So putting together an equation with these values and terms informed we find that:
[tex](X + 84)/24 = X/12 - 0.5\\X + 84 = 2X - 12\\X=96[/tex]
So with the value of X found it is only necessary to use the previous equations and replace this value.
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2x - 4 = 2( x - 1 ) + 3
20% of __ is 15 pls help lol
Answer:
3
Step-by-step explanation:
Jill buys two circular pizzas. The small pizza has an 8-inch diameter. The medium pizza has a 12-inch diameter. How much greater, in square inches, is the area of the medium pizza than the small pizza? Round your answer to the nearest tenth.
Answer:
Medium pizza is 62.83 square inches greater than smaller pizza.
Step-by-step explanation:
a subway car 34 feet long; 1 inch = 5 feet
Answer:
6.8 inches
Step-by-step explanation:
inch= 1 x
feet= 5 34
1×34÷5
The value of W is inversely proportional to m. If w=8 then m=25, What is m when W is 20?Show me all the steps please?
Answer:
m = 10
Step-by-step explanation:
The values of w is inversely proportional to m
Mathematically the above statement is expressed as:
w ∝ 1/m
w = k × 1/m
w = k/m
Where k is the Proportionality Constant
First step
Solve for k
If w=8 then m=25
w = k/m
8 = k/25
Cross Multiply
k = 25 × 8
k = 200
Second step
what is m when w=20? Show me the steps please
We solve for m
w = k/m
k = 200
20 = 200/m
Cross Multiply
20m = 200
m = 200/20
m = 10
When you flip a baised coin the probability of getting tail is 0.75 How many times would you expect to get tails uf you flip the coin 320 times?
Answer: 60
How?: Well, we know that we have a 0.75 chance for tails. And on a coin, there is heads and tails. So, we multiply 0.75 (tails) by 320 and then divide that by 4. We do this because there is a 0.75 and 1 = 1.00. 1.00 - 0.75 = 0.25. 0.25 = 60
Answer:240
Step-by-step explanation:
help me pls this is 8th grade math fastest answer gets brainliest show work pls
Answer:
1: x ^11
2: y ^12
3: x^ 7
Step-by-step explanation:
In 1 we give the sum
In 2 we give the multiple
In 3 we minus
Answer:
1. x^11 2. x^7 3. y^12
Step-by-step explanation:
1. you add the exponents together 8+3 = 11 2. you subtract the exponents 9-2=7 3. you multiple the exponents 4x3=12
If someone could help me figure out #7 ASAP I’d really appreciate it
answerr to –m+8–9m+–8m+–10m
Answer:
USE THIS APP AS A GUIDE DO NOT USE IT AS AN ANSWER KEYYYYYY!!! ALRIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
https://photomath.app/en/
Answer:
-28m+8
Step-by-step explanation:
Combine like terms
(-m + -9m + -8m + -10m) + (8)
Anybody know this......
Step-by-step explanation:
21.P
22.Q
23.P
24.S
25.Q
26.R
27.N
28.N
you pretty much have too find the other letter that finishes the shape.
so #21 it would be P because it is for the bottom shape/base shape. and you already have M,N and O so the last one you need too finish the shape is P. and the same concept for the other awnsers
Hope this isn't too complicated and helps u out!
Brainlest??
PLEASE HELP ME...
Find f(x)^-1(x)=5 ^5√x-3 +1
Answer:
oof
Step-by-step explanation:
question: determine whether the set of numbers in each table is proportional. if the relationship is proportional, identify the constant of proportionality. Explain your reasoning
Answer:
chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie
Step-by-step explanation:
Determine the intercepts of the line
PLEASE HELP I SUCKKK AT THIS