Answer:
C - 2/5
Step-by-step explanation:
Using the formula for slope
m = (y_2 - y_1) / (x_2 - x_1)
Given two points
( 4 , 5) (-1 , 3)
x_1 = 4
y_1 = 5
x_2 = -1
y_2 = 3
Insert the values into the equation
m = (y_2 - y_1) / (x_2 - x_1)
m = ( 3 - 5) / ( -1 - 4)
= -2 / -5
- $ - cancels out
m = 2/5
Slope = m = 2/5
What is the solution to the inequality?
6x−5>−29
A.
x>−4
B.
x<4
C.
x<−4
D.
x>4
What is an equation of the line that passes through the points (7, -6) and (3, -6)
Answer:
y=-6
Step-by-step explanation:
Each of the letters of the word ALABAMA are written on a piece of paper and then put into a bag. A piece of paper is drawn at random. What is the theoretical probability, as a decimal, of drawing an A? Round the decimal to the nearest hundredth.
The theoretical probability of drawing an 'A' from the word 'ALABAMA' is 0.57. This result arrives from dividing the number of 'A's (4) by the total number of letters in 'ALABAMA' (7).
Explanation:The question deals with a probability problem related to the selection of letters from the word 'ALABAMA'. The word 'ALABAMA' has 7 letters out of which 4 are 'A's. The theoretical probability is calculated as the number of successful outcomes divided by the total number of outcomes. Since we are interested in drawing an 'A', the successful outcomes are the number of 'A's which is 4, and the total outcomes are the total number of letters which is 7.
To calculate theoretical probability, you divide the number of successful outcomes by the total number of outcomes. In this case, the calculation will be 4 / 7 = 0.57 (rounded to the nearest hundredth).
So, the theoretical probability of drawing an A from the word 'ALABAMA' in decimal form, rounded to the nearest hundredth, is 0.57.
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The area of a square whose side measures four units is added to the difference of eleven and nine divided by two.
Answer:
The correct answer is D. 17.
Correct statement and question:
The area of a square whose side measures four units is added to the
difference of eleven and nine divided by two. What is the total value?
a. 9
b. 16
c. 5
d. 17
Source:
Previous question that can found at brainly
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Side of the square = 4 units
Area of the square = 4 * 4 = 16 units
2. What is the total value?
Difference of eleven and nine divided by two = (11 - 9)/2
Difference of eleven and nine divided by two = 2/2 = 1
Area of a square whose side measures four units is added to the
difference of eleven and nine divided by two = 16 + 1
Area of a square whose side measures four units is added to the
difference of eleven and nine divided by two = 17
The correct answer is D. 17
The combined result of the area of a square with a side of four units and the arithmetic expression (11 minus 9) divided by 2 is 17.
Explanation:Calculating the Combined Area and Arithmetic Expression
To solve the given problem, we need to calculate the area of a square with a side of four units and add this to the arithmetic expression (11 minus 9) divided by 2. First, let's find the area of the square. The area of a square is found using the formula area = side × side. Therefore, the area of our square is 4 units × 4 units = 16 square units.
Next, we calculate the arithmetic expression. The difference of eleven and nine is 11 - 9 = 2, and dividing this by two gives us 2 / 2 = 1.
Finally, we add the area of the square to this result: 16 square units + 1 = 17. The final answer is 17.
A colony of 300,000 bacteria doubles in size every 35 minutes what will the population be 70 minutes from now ?
Answer:
1,200,000
Step-by-step explanation:
300,000 x 4
It doubles every 35 minutes so you multiply by 4
Answer:
X=600000
Step-by-step explanation:
Let the unknown value for 70minutes be x
So let's solve the given question
300000 bacteria is double in every 35minutes
So to solve we will have
300000 bacteria=35minutes
X bacteria=70 minutes
So let's cross multiply
35x=300000×70
Let's make x the subject of formula by dividing both sides by 35
X=300000×70/35
X=300000×2
X=600000
Therefore the population in 70 minutes is 600000
Gohan earned scores of 95, 100, 65, 95, 75, 98, 100, 55, 100, 45 on his last ten quizzes. What is the mean of his quiz scores? What is the median of his quiz scores? What is the mode of his quiz scores?
Answer: Mean= 82.8
Median= 95
Mode=100
Step-by-step explanation:
Mean is the average of the scores
Mean= 95+100+65+95+75+98+100+55+100+45 =828/10= 82.8
To get the median, we rearrange the numbers in either ascending or descending order.
45,55,65,75,95,95,98,100,100,100
Median= 95
Mode is the number that occurs most which is 100
Answer:
Answer: Mean= 82.8
Median= 95
Mode=100
Step-by-step explanation:
I got this correct, hope this helps:)
Identify the point from the equation: y + 5 = 3(x - 2)
Answer:
The point is [tex](2,-5)[/tex]
Step-by-step explanation:
we have
[tex]y+5=3(x-2)[/tex]
This is the equation of the line written in point slope form
so
[tex]y-y1=m(x-x1)[/tex]
where
The slope is equal to
[tex]m=3[/tex]
The point (x1,y1) is
[tex](2,-5)[/tex]
therefore
The point is [tex](2,-5)[/tex]
What is the volume, in cubic m, of a cube with an edge length of 11m?
the volume of cube with edge length 11 m is [tex]Volume = 1331m^3[/tex] .
Step-by-step explanation:
Here we have a side length of a cube as 11 m . We need to find the volume of cube . Let's find out:
We know that every side of a cube is identical and equal . And volume of cube is given by formula :
⇒ [tex]Volume = (side)^3[/tex] ...........(1)
According to question we have following parameters as
[tex]side = 11m[/tex]
Putting this in (1)
⇒ [tex]Volume = (11m)^3[/tex]
⇒ [tex]Volume = 11(11)(11)m^3[/tex]
⇒ [tex]Volume = (121)(11)m^3[/tex]
⇒ [tex]Volume = 1331m^3[/tex]
Therefore , the volume of cube with edge length 11 m is [tex]Volume = 1331m^3[/tex] .
The volume of the cube is 1331 m³
Explanation:
Given:
side of the cube, a = 11m
Volume of the cube, v = ?
we know:
Volume of the cube = (a)³
V = (11m)³
V = 1331 m³
Therefore, the volume of the cube is 1331 m³
A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle
A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. It is a right triangle because the square of the largest side length is not equal to the sum of the square of the other two small side lengths and it can be determined by using the properties of the right triangle.
Given that,A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters.
We have to determine,Is it a right triangle?
According to the question,To determine the right triangle following all the steps given below.
A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters.
The condition for the right triangle;The square of the largest side length is not equal to the sum of the square of the other two small side lengths then it is called the right triangle.
Then,
[tex]= (4)^2+(5)^2 = 7^2\\\\= 16 +25 = 49\\\\=41\neq 49[/tex]
Hence, Yes it is a right triangle because the square of the largest side length is not equal to the sum of the square of the other two small sides lengths.
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PLEASE HELP IT'S SO IMPORTANT PLZ
create word problems that required multi-step mathematical thinking, such as the solution of the equation is then used to determine the actual solution of the question, and SOLVE IT.
Will this help?
Answers:
1. $8 left
2. 4 minutes
3. 9 balloons
Questions
1. Craig has a twenty dollar bill. He buys six squirt guns
for $2 each. How much money did Craig have left?
2. Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes. First, they swam laps in
the pool for 7 minutes. Then they swam underwater for
one minute. Then they played water polo for 8 minutes.
How much longer can they stay in the pool?
3. Maria invited 4 of her friends over for a water balloon fight in
the backyard. At the start of the game, Maria gave each of
her friends 2 water balloons. She had one water balloon for
herself. How many water balloons did they have altogether?
N x 23 = 8.05 solve for N
Answer:
0.35
Step-by-step explanation:
Just divide 8.05 by 23
The answer you are looking for is 0.35.
To solve for any variable (N in this case) you must get it by itself, by doing the opposite operation. To do so for this problem, divide 23 from both sides. In doing so, N will be by itself, and you'd then just divide 23 from 8.05. Thus getting 0.35 as an answer.
I hope this helps!
PLEASE HELP NOW!! Will grant brainliest
(f·g)(x) is x^5 - 5x^4 + 4x³ - x² + 5x - 4
Step-by-step explanation:
Step 1: Given, f(x) = x² - 5x + 4 and g(x) = x³ - 1 Find (f·g)(x)(f·g)(x) = f(x)·g(x) = (x² - 5x + 4)(x³ - 1)
= x^5 - 5x^4 + 4x³ - x² + 5x - 4
= x^5 - 5x^4 + 4x³ - x² + 5x - 4
16 m, 21 m, 39 m in geometry tryna find out how to measure the side length that could form a triangle
Step-by-step explanation:
The given measurements are:
16 m, 21 m, 39 m
We know that, it is only possible to form a triangle if sum of the measures of any two lengths is always grater than the measure of third length.
[tex] \therefore \: 39 + 21 = 60 > 16 \\ \\ \: \: \: \: \: \: 16 + 39 = 55 > 21 \\ \\ \: \: \: \: \: \: 16 + 21 = 37 \ngtr39 \\ \\ \because \: last \: mathematical\: statement \: is \:\\ defying \: the \: above \: law \\ [/tex]
Therefore, it is not possible to form a triangle with given measurements.
The given lengths cannot form the sides of a triangle because they dont satisfy the sides of a triangle rule.
What is the sides of a triangle rule say?The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
Given here, are the sides 16 m, 21 m , 39m
now if the two sides are 16, 21 then their sum is 16+21 = 37 but 37<39 thus combination of lengths cannot form a triangle
Hence, the lengths 16,21,39 cannot form the sides of a triangle
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Help I am confused i don’t remember how to answer this.
Answer:
5/6
Step-by-step explanation:
I hope this helps!
Answer:
5/6
Step-by-step explanation:
so for the first equation I would keep 1/3 the same
flip the division sign to multiplication
and turn the second fraction 4/10 upside down so it becomes 10/4
[tex]\frac{1}{3} *\frac{10}{4} =10/12[/tex]
10/12 can be simplified by dividing 2 on the numerator and denominator
10/2=5
12/2=6
5/6
for the second equation I know that each number in the first equation should be present in the second(since they are all the same numbers). However, 5/6 is not present in the second equation so that is the missing number
Hope this helps!
There are 2 bags, each containing red blocks and yellow blocks. Bag 1 contains 1 red block and 3 yellow blocks. Bag 2 contains 4 red blocks and 12 yellow blocks. Tom says he is more likely to pick a red block out of bag 2 than out of bag 1 because bag 2 has more red blocks than bag 1. Is this correct? Explain your reasoning.
Answer:
No
Step-by-step explanation:
Bag 1:
P(red) = 1/4
Bag 2:
P(red) = 4/16 = 1/4
Same probability so equally likely
The circumference of a circle is 15 meters. Find the area. Use 3.14 for π.
A linear equation exists for the following sets of ordered pairs: {(-1, 1), (0, 3), (-1/3, 7/3)}. The rule for the linear equation states that y is three more than twice x. Set up a linear equation that satisfies the rule, and use the set of ordered pairs to prove that your equation satisfies the set of coordinates. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Answer:
Part 1) [tex]y=2x+3[/tex]
Part 2) The equation satisfy the set of coordinates (see the explanation)
Step-by-step explanation:
step 1
Find the linear equation
The rule for the linear equation states that y is three more than twice x.
so
The variable y is equal to the number 2 multiplied by x plus the number 3
[tex]y=2x+3[/tex]
step 2
Prove that the equation satisfies the set of coordinates
substitute the value of x and the value of y in the linear equation and then compare the results
a) (-1, 1)
[tex]1=2(-1)+3[/tex]
[tex]1=1[/tex] ----> is true
so
The equation satisfy the ordered pair
b) (0, 3)
[tex]3=2(0)+3[/tex]
[tex]3=3[/tex] ----> is true
so
The equation satisfy the ordered pair
c) (-1/3,7/3)
[tex]7/3=2(-1/3)+3[/tex]
[tex]7/3=7/3[/tex] ----> is true
so
The equation satisfy the ordered pair
therefore
The equation satisfy the set of coordinates
The graph shows the linear inequality y < x + 2.
Explain everything the line tells us. Why is it dashed?
Answer:
The reason why line is dashed because the inequality is indicating '<'.
Here, graphing a dashed line, then shading the area below the boundary line since y is less than x+2.
Step-by-step explanation:
Important things to observe when we graph the inequality.
Any inequality involving < or > will have a graph as a dotted line, whileAny inequality involving ≤ or ≥ will have a graph as a solid line.Given the inequality
[tex]y\:<\:x\:+\:2[/tex]
The reason why line is dashed because the inequality is indicating '<'.
Here, graphing a dashed line, then shading the area below the boundary line since y is less than x+2.
The graph is attached below.
Which graph shows a system of equations that solves - 2/(x - 1) = 4 , and the solution itself?
Answer:The answer is A
Step-by-step explanation:
The solution is x = -2/5.
How to solve the equation?The equation can be simplified by doing some algebra.
- 2/(x - 1) = 4
-2 = 4 (x-1)
-2 = 4x - 4
2 = 4x
x = 4/2
x= 0.5
What's an example of an equation?An equation is a mathematical announcement that is made up of expressions connected by way of an identical sign. for instance, 3x – 5 = 16 is an equation. solving this equation, we get the fee of the variable x as x = 7.
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Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.
16 degrees
19 degrees
71 degrees
87 degrees
Answer:
16 degrees
Step-by-step explanation:
The question is
Find the measure of angle R
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
In this problem
[tex]m\angle N+m\angle R=109^o[/tex]
we have
[tex]m\angle N=93^o[/tex]
substitute
[tex]93^o+m\angle R=109^o[/tex]
[tex]m\angle R=109^o-93^o=16^o[/tex]
Answer: 16 degrees
Step-by-step explanation: 109-93 is 16
Quadrilateral ABCD was transformed to create A'B'C'D'. If A'B'C'D' is reflected over the y-axis, what will be the coordinates of D''?
Math item stem image
CLEAR CHECK
(-2, -3)
(-2, 3)
(2, -3)
(2, 3)
Answer: This question is impossible to answer if the original coordinate of D is not known
Step-by-step explanation: In order to answer this question you need to know what the coordinate of D is
The coordinates of D'' will be; (-2, 3)
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
We are given that Quadrilateral ABCD was transformed to create A'B'C'D'. If A'B'C'D' is reflected over the y-axis, then
A(-5,-3); B(-6,-1); C(-3,-1) ; D(-2,-3)
When a refection is done about x-axis, the values of the abscise x remain identical & the value of ordinate;
A(-5,-3); A'(-5,+3)
B(-6,-1); B'(-6,+1)
C(-3,-1); C'(-3,+1)
D(-2,-3); D'(-2,+3)
A'B'C'D' is translated 3 UNITS RIGHT, that means the ordinated of A'B'C'D' are the same but the abscises have been increased by 3 UNITS then the coordinates of D'' is (-2, 3)
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Which of the following expressions results in 0 when evaluated at x = 3?
Answer:
You need to provide the expressions you have to choose from.
Step-by-step explanation:
54 months = _____ years 5.4 years 4 years 4.5 years 5 years
Answer:
C 4.5 years
Step-by-step explanation:
54 divided by 12 ( because 12 months is a single year) is 4 years and 6 months and since 6 months is half of twelve months your answer would be 4.5 years.
The length of a rectangle is 3 centimeters less than twice the width. If the perimeter of the rectangle is 24 centimeters, find its dimensions.
Answer:
Width = 5 cm
Length = 7 cm
Step-by-step explanation:
Width = w
Length = 2w - 3
Perimeter = 24 cm
2* (length + width ) = 24
2*(2w-3 +w) = 24
2*(3w -3) = 24
3w - 3 = 24/2
3w - 3 = 12
3w = 12+ 3
3w = 15
w = 15/3
w = 5cm
Length = 2w - 3 = 2*5 - 3 = 10-3 = 7 cm
length = 7 cm
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Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.
3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds.
Where, if anywhere, did Carina make an error?
Carina did not make any errors.
The initial equation that Carina wrote was incorrect.
Carina should have subtracted 3.40 from 5.27.
Carina should have divided 8.67 by 0.85.
Answer:
the correct answer is supposed to be 2.2 pounds.
So, C. Carina should have subtracted 3.40 from 5.27.
Step-by-step explanation:
Tip - look up on brainly or some sort of browser before waste points on asking....
Here:
5.27= 3.40+ 0.85x, we have our total our price of one pineapple and our variable
next I isolate the variable:
5.27-3.40=0.85x
next:
1.87=0.85x
Answer
x= 2.2
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Answer:
Option C, Carina should have subtracted 3.40 from 5.27.
Step-by-step explanation:
Step 1: Convert words into an equation
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound.
3.40 + 0.85p = 5.27
Step 2: Solve for p
3.40 + 0.85p - 3.40 = 5.27 - 3.40
0.85p / 0.85 = 1.87 / 0.85
p = 2.2
The error was found when she add 3.40 to 5.27 instead of subtracting.
Answer: Option C, Carina should have subtracted 3.40 from 5.27.
Solve this system of linear equations: 4x-2y=8 Y=3/2x-2
The solution to the system of equations is x = 4 and Y = 4.
Explanation:To solve the system of linear equations, we can use substitution. Since we have the equation Y = 3/2x - 2, we can substitute this expression for Y in the first equation.
Substituting Y = 3/2x - 2 in 4x - 2y = 8:
4x - 2(3/2x - 2) = 8
Simplifying the expression:
4x - 3x + 4 = 8
x + 4 = 8
Solving for x:
x = 8 - 4
x = 4
Substituting the value of x into Y = 3/2x - 2:
Y = 3/2(4) - 2
Y = 6 - 2
Y = 4
Therefore, the solution to the system of equations is x = 4 and Y = 4.
Step-by-step explanation:
Got it right on edge. You can too
A group of middle school boys have a mean height of 167 cm and a range of 164 cm to 169 cm. A group of high school boys have a mean height of 180 cm and a range of 175 cm to 183 cm. Which statement BEST compares the two groups of boys?
Answer:
C
Step-by-step explanation:
The high school boys vary in height more than the middle school boys.
middle school boys range = 169 − 164 = 5 cm
high school boys range = 183 − 175 = 8 cm
The range for both conditions is 5 cm and 8 cm respectively.
What is the range?The difference between the highest and lowest value data points of the provided data is known as the range in mathematics.
In statistics, the mean is the product of all the values in a set of data divided by the total number of values in the data for a given set of observations.
The high school boys vary in height more than the middle school boys.
Middle school boys range = 169 − 164 = 5 cm
High school boys range = 183 − 175 = 8 cm.
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Pls help me with this question
The solutions are £5575, £312.5 and £345 respectively.
Step-by-step explanation:
Step 1: Find the amount of Swedish kronor received by Theo in exchange for £500£1 = 11.15 kr
⇒ £500 = 500 × 11.15 = £5575
Step 2: Find the amount of Swiss francs received by Theo in exchange for £250£1 = 1.25 CHF
⇒ £250 = 250 × 1.25 = £312.5
Step 3: Find the pounds to get 407.10 euros.£1 = 1.18 euros
⇒ 407.10 euros = 407.10/1.18 = £345
1 + 1 2 ⋅ (4x − 6) = −2
1.4375
Step-by-step explanation:
Step 1:
Let the given equation be [tex]1+12(4X-6)=-2[/tex]
To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.
Step 2:
Let us expand the equation as [tex]1+ (12*4X)-(12*6)=-2[/tex]
Step 3:
Let us expand it further as [tex]1+48X-72=-2[/tex]
Step 4:
To find X segregate X in one side and all other remaining terms in other side as follows
[tex]48X=-2+72-1[/tex]
After the simplification the numerical value is
[tex]48X=69[/tex]
Step 5:
Keep X along one side and bring 48 to the denominator of another side to find X as follows
[tex]X=69/48[/tex]
And the value of X is 1.4375
Answer:
x = 1 7/16
Step-by-step explanation:
1 + 1 2 ⋅ (4x − 6) = −2
Subtract 1 from each side
1-1 + 1 2 ⋅ (4x − 6) = −2-1
1 2 ⋅ (4x − 6) = −3
Distribute the 12
48x -72 = -3
Add 72 to each side
48x-72+72 = -3+72
48x =69
Divide by 48
48x/48 = 69/48
x =1 21/48
x = 1 7/16
Kay is drawing a triangle. Two of the sides have an equal length of 8 cm, and the angle between those sides measures 68°. Which could be the measure of each base angle?
The measure of each base angle is 56°.
Step-by-step explanation:
The isosceles triangle has two base angles that are congruent (same measure).Let the measure of each base angle is 'x'.The sum of angles in a triangle add to 180°.base angle + base angle + 68° = 180°
2x + 68° = 180°
2x = 112°
x = 112/2
x = 56°
Therefore, the measure of each base angle is 56°.
The required measure of each base angle is equal to 56°.
It involves understanding the properties of an isosceles triangle, which is the key to solving the problem. In an isosceles triangle, if two sides are equal, the angles opposite those sides are also equal.
Given that Kay is drawing a triangle with two equal sides of 8 cm and the angle between these sides measures 68°, the triangle is isosceles, and we know that the other two angles (the base angles) are equal due to this property.
The sum of all angles in any triangle equals 180°. Therefore, to find the measure of each base angle, we subtract the given angle from 180° and then divide by 2 (since the base angles are equal):
The sum of angles in a triangle = 180°.
The measure of the angle between the two sides = 68°.
The sum of the two base angles = 180° - 68° = 112°.
Measure of each base angle = 112° / 2 = 56°.
Therefore, the measure of each base angle in Kay's triangle is 56°.