Answer:
Tom drove 282 miles.
Step-by-step explanation:
x = number of miles driven
220.81 = 14.95 + 0.73x
-14.95 -14.93
205.86 = 0.73x
/0.73 /0.73
282 = x
Hope this helps!
Cherries cost $5 for 2 pounds and $7.50 for 3 pounds.
What is the cost per pound?
b. Is it constant?
c. If you were to graph this situation, would you put weight or cost on the x-axis? Which one would you put on the y-axis?
d. Plot the two points described.
e. How much would 5 pounds of cherries cost? What did you do to solve this problem?
Answer:
Cherries cost $2.50 per pound
Yes, it is constant.
Weight would go on the x-axis and the cost would go on the y-axis.
The two points are (2, 5) and (3, 7.5)
5 pounds of cherries would cost $12.50. To solve the problem I multiplied the 5 pounds by 2.5, the cost per pound to find the cost.
Step-by-step explanation:
$5 for 2 pounds and $7.50 for 3 pounds can be turned into the points (2, 5) and (3, 7.5).
To find the cost per pound, input the two points into the slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{7.5-5}{3-2}[/tex]
Solve:
7.5 - 5 = 2.5
3 - 2 = 1
[tex]\frac{2.5}{1}[/tex] = 2.5
The cost of cherries per pound is $2.50. This is our slope.
The equation that represents the cost of cherries for x amount of pounds is:
y = 2.5x
To find how much 5 pounds of cherries would cost, replace x with 5 in the equation:
y = 2.5(5)
y = 12.5
5 pounds of cherries would cost $12.50.
I hope this helps :)
Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees. What is the value of x?
Answer:
20°
Step-by-step explanation:
the sum of the angles gives 180°
20+2x+6x=180
20+8x=180°
8x=180-20
x=160°÷8°
x=20°
thank you!
Answer:
c) 20
Step-by-step explanation:
on edge 2021 || pls mark brainliest
In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP.
Based on the assumption that quadrilateral PQRS is
a rectangle, determine whether each statement below is true or false. Select True or False for each statement.
TRUE or FALSE
1.) Triangles POR and RSP are congruent because they satisfy the side-side-sido (SSS) triangle congruence criterion.
2.)Triangles POR and RSP are congruent because they satisfy the side-anglo-sido (SAS) triangle congruence criterion
3.)Triangles POR and RSP are congruent because there is a rotation that carries one triangle onto the other.
4.)Triangles POR and RSP are congruent because there is a translation that carries one triangle onto the other
Answer:
False
True
True
False
Step-by-step explanation:
Answer:true true true false
Step-by-step explanation: did it in class
Find the slope of each line.
1)
(-1, 1), (-1, 4)
Answer:
The slope is undefined
Step-by-step explanation:
The equation of the line is x=-1 and this equation’s slope is undefined because it’s a vertical line.
Hope this helps and answers your question :)
Answer:
The line presented has an undefined slope.
Step-by-step explanation:
We are given two points of a line: (-1, 1) and (-1, 4).
Coordinate pairs in mathematics are labeled as (x₁, y₁) and (x₂, y₂).
The x-coordinate is the point at which if a straight, vertical line were drawn from the x-axis, it would meet that line.The y-coordinate is the point at which if a straight, horizontal line were drawn from the y-axis, it would meet that line.Therefore, we know that the first coordinate pair can be labeled as (x₁, y₁), so, we can assign these variables these "names" as shown below:
x₁ = -1y₁ = 1We also can use the same naming system to assign these values to the second coordinate pair, (-1, 4):
x₂ = -1y₂ = 4We also need to note the rules about slope. There are different instances in which a slope can either be defined or it cannot be defined.
Circumstance 1: As long as the slope is not equal to zero, there can be a
positive slope, [tex]\frac{1}{3}[/tex]negative slope, [tex]-\frac{5}{6}[/tex]Circumstance 2: If the slope is completely vertical (there is not a "run" associated with the line), there is an undefined slope. This is the slope of a vertical line. An example would be a vertical line (the slope is still zero).
Circumstance 3: If the line is a horizontal line (the line does not "rise" at all), then the slope of the line is zero.
Therefore, a slope can be positive, negative, zero, or undefined.
Now, we need to solve for the line we are given.
The slope of a line is determined from the slope-intercept form of an equation, which is represented as [tex]\text{y = mx + b}[/tex].
The slope is equivalent to the variable m. In this equation, y and x are constant variables (they are always represented as y and x) and b is the y-intercept of the line.
We can do this by using the coordinates of the point and the slope formula given two coordinate points of a line: [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]
Therefore, because we defined our values earlier, we can substitute these into the equation and solve for m.
Our values were:
x₁ = -1y₁ = 1x₂ = -1y₂ = 4Therefore, we can substitute these values above and solve the equation.
[tex]\displaystyle{m = \frac{4 - 1}{-1 - -1}}\\\\m = \frac{3}{0}\\\\m = 0[/tex]
Therefore, we get a slope of zero, so we need to determine if this is a vertical line or a horizontal line. Therefore, we need to check to see if the x-coordinates are the same or if the y-coordinates are the same. We can easily check this.
x₁ = -1
x₂ = -1
y₁ = 1
y₂ = 4
If our y-coordinates are the same, the line is horizontal.
If our x-coordinates are the same, the line is vertical.
We see that our x-coordinates are the same, so we can determine that our line is a vertical line.
Therefore, finding that our slope is vertical, using our rules above, we can determine that our slope is undefined.
solve for x:
(-3/2)x -9 = - 27
a.-24
b.-12
c.11
d.12
Answer:
d
Step-by-step explanation:
Given
- [tex]\frac{3}{2}[/tex] x - 9 = - 27 ( add 9 to both sides )
- [tex]\frac{3}{2}[/tex] x = - 18 ( multiply both sides by 2 to clear the fraction )
- 3x = - 36 ( divide both sides by - 3 )
x = 12 → d
How many solutions does the following equation have?
-6(x+7) = -4x -2
The accompanying graph shows the revenue from sales of summer sandals. a) At what price will the company receive the maximum amount of revenue? 40+ 45- 35+ Revenue(1005) b) What is the meaning of the increasing region? 20- 18+ 10+ sh c) What is the meaning of the decreasing region? -10 -5+ 10 20 30 40 50 60 70 80 90 11 Selling Price(8) d) What happens to sales if the item is priced at over $85? The cost of carrying this sandal in the store is shown by the linear relation in this graphical model. The intersection points of the graphs show the points where the revenue equals the cost of carrying the item. This is called the breakeven point. Where the revenue graph appears above the cost graph, the store will make a profit. What is the lowest and highest 45+ price the manager can place on the sandals and still make a 40+ profit? 301 Revenue 1005 20+ 15+ 10+ 5+ -10 -5+ 10 20 30 40 30 60 70 80 90 L Seling Price($)
Identify the terms of this expression
w+5w2+2w2-7w
━━━━━━━☆☆━━━━━━━
▹ Answer
w, 5w², 2w² and -7w
▹ Step-by-Step Explanation
Terms are the values which are seperated by the plus sign (+) or the minus sign (-).
In this case, we have w + 5w² + 2w² - 7w
We can see that there is a total of 3 signs, two plus signs (+) and one minus sign (-).
Therefore, our terms will be w, 5w², 2w² and -7w. There is a total of 4 terms in this expression.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
What is the answer to 15x+9 when x=−1.
Answer:
The answer is -6.
Step-by-step explanation:
write the equation of this line
Answer:
Y = -3/2x + 5
Step-by-step explanation:
Slope (rise/run) is -3/2 and the y - intercept is 5.
Hope this helps. Pls give brainliest.
Q5) given that f(x) = x^2 + x and g(x) = 3x + 1, find the value of f(g(4))
Answer:
169
Step-by-step explanation:
3(4)+1
=12+1
=13
f(g(4))
f(x)=x^2 ---- (13)^2
=13x13
=169
find the midpoint of AB: A(3,-8) B(-15,-8)
Answer:
C (-6,-8)
good luck buddie
Answer:
(-6, -8)
Step-by-step explanation:
Find the inverse of the given function f(x)=-5x-9
Answer:
f-1(x)= x+9/-5
Step-by-step explanation:
1. To determine the inverse of the given function, first change f(x) to y. Then, switch x and y in the equation.
2. Now, solve the equation for y.
3. Finally, change y to f -1(x).
How much fencing is needed to enclose a rectangular garden that measures 65 feet by 17 feet
Answer:
164
Step-by-step explanation:
65+65=130
17+17=34
130+34=164
Answer:
You will need 164 feet of fencing.
Step-by-step explanation:
Add up 17+17+65+65 or follow along to the perimeter formula to get your answer of 164 feet.
i rlly need help; finding angles
Answer:
1=35 find angle 2 80+65-180=35
2= 65 vertical angles are congruent ex 115-180
3=29 ex. 90+65-180=29
4= 115 vertical angle congruent
5=65 vertical angles are congruent ex 115-180
6=65 35+80-180=65
7=144
Answer:
∠1 = 35 ; ∠2 = 65 ; ∠3 = 29 ; ∠4 = 115
∠5 = 65 ; ∠6 = 36 ; ∠7 = 144
Step-by-step explanation:
∠4 = 115 {Vertically opposite angles}
∠5 + 115 = 180 {linear pair}
∠5 = 180 - 115
∠5 = 65
∠2 = ∠5 {Vertically opposite angles}
∠2 = 65
∠1 + 80 +∠2 = 180 {Angle sum property of triangle}
∠1 + 80 + 65=180
∠1 + 145 = 180
∠1 = 180 - 145
∠1 = 35
∠5 + ∠7 + 90 + 61 = 360 {angle sum property of quadrilateral}
65 + ∠ 7 + 90 + 61 = 360
∠7 + 216 = 360
∠7 = 360 - 216
∠7 = 144
∠6 + ∠ 7 = 180 {linear pair}
∠6 + 144 = 180
∠6 = 180 - 144
∠6 = 36
∠3 + ∠4 +∠ 6 = 180 {angle sum property of triangle}
∠3 + 115 + 36 = 180
∠3 + 151 = 180
∠3 = 180 - 151
∠3 = 29
A number minus 6. Help me plz (translating Expressions)
Answer:
x - 6
Step-by-step explanation:
(x-790°
(x-45)
Solve for x.
Answer:
107
Step-by-step explanation:
(x - 79)° + (x - 45)° = 90°
2x - 124 = 90
2x = 214
x = 107
If i am driving 45 miles per from my house to my job. My job is 35 minutes from my house. It is 9:30 i have to be there by 10:00 on the dot so how much should i increase the speed?
Usual speed is given by :
[tex]s = \dfrac{45\times 60}{35} \ mph\\\\s=77.14 \ mph[/tex]
Now, we want to reach job exactly at 10 : 00 .
So, time taken is , t = 10:00 - 09:30
t = 30 minutes = 0.5 hours .
New speed is :
[tex]s'= \dfrac{45}{0.5} = 90 \ mph[/tex]
Therefore, increase in speed is ( 90 - 77.14 ) = 12.86 mph.
Hence, this is the required solution.
A walk in interview 12% of Candidates can be selected and 28% of Canada can be put on hold for the next hiring date if 75 candidates are interviewed about how many are expected to be rejected
Answer:
45 candidates are expected to be rejected
Step-by-step explanation:
Here, we want to calculate the number of candidates to be rejected
The number of candidates to be rejected can be calculated from;
100% - (28% + 12%) = 60%
So 60% of the 75 interviewed are to be rejected
Thus, we have
60/100 * 75
= 45
The number of candidate expected to be rejected is 45 if the 12% of candidates can be selected and 28% of Canada can be put on hold for the next hiring date.
What is percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
A walk in interview 12% of Candidates can be selected and 28% of Canada can be put on hold for the next hiring date if 75 candidates are interviewed.
Let's suppose total candidate is 100%
So,
= 100 - (12+28)
= 60%
Number of candidate expected to be rejected:
= 60% of 75
= (60×75)/100
= 45
Thus, the number of candidate expected to be rejected is 45 if the 12% of candidates can be selected and 28% of Canada can be put on hold for the next hiring date.
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let's see who can answer this;)
Answer:
0.88, 8.08, 8.80
2.4, 2.49, 3.71, 3.87, 4.92
Step-by-step explanation:
By logic.
Or mathematically speaking, if x is greater than y, means that x-y > 0.
Which ratio is not equivalent to 5 : 8?
Answer:
10 / 28
Step-by-step explanation:
Which statement is a valid claim that could be made using the data in the graph?
Directional selection is occurring because the graph favors an extreme.
Stabilizing selection is occurring because the average is favored.
Disruptive selection is occurring because the two extremes are favored.
Biodiversity variation is occurring because there is an increase in trait variation.
Stabilizing selection is occurring because the average is favored.
If its the same graph im thinking of.
The correct statement is a valid claim that could be made using the data in the graph is,
B) Stabilizing selection is occurring because the average is favored.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, On this graph we can observe the workings of the stabilizing selection.
Since, Stabilizing selection tends to favor the average phenotype and eliminate the extremes.
Essentially, this means that the natural selection is selecting the mean value of a trait as optimal.
Hence, In our case, the mean weight of newborns is selected as optimal, because newborns born with less weight can be too weak to survive and the ones that have too much weight (are too big) can hurt the mother during birth.
Thus, The correct statement is a valid claim that could be made using the data in the graph is,
B) Stabilizing selection is occurring because the average is favored.
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How to find x-intercept in the equation y=mx+b
Write an algebraic equation: Three-fifths of a number increased by seven is twenty-two.
Answer:
hmm, let me think some more
Step-by-step explanation:
What is 0.5 x 10^5 in standard form.
+
Answer:
Step-by-step explanation:
0.5 ×10^5=5/10×10^5=5×10^4=50,000
Solve for the missing variable
(5, 4) & (2, c) slope is equal to 1/2
Please answer fast
Answer:
c = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{1}{2}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)
m = [tex]\frac{c-4}{2-5}[/tex] = [tex]\frac{c-4}{-3}[/tex] , then
[tex]\frac{c-4}{-3}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2(c - 4) = - 3
2c - 8 = - 3 ( add 8 to both sides )
2c = 5 ( divide both sides by 2 )
c = [tex]\frac{5}{2}[/tex]
What is the slope of a line parallel to the line whose equation is 6x + 9y = 216.
Fully reduce your answer.
Answer:
Solve the equation so it is in the y=mx+b form.
Step 1. 6x+9y = 216
Step 2. 9y = -6x+216
Step 3. y = -6/9x+24
Step 4. Simplify/Reduce to get y = -2/3x+24
Since it is Parallel then the slope is the same so the slope is -2/3x.
The slope of line parallel to line with equation → 6x + 9y = 216 is
m = -2/3.
What are Parallel lines?
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given is a line which is parallel to a line whose equation is 6x + 9y = 216.
We know that the general equation of straight line is -
y = mx + c ... Eq [ 1 ]
where 'm' represents the slope of the line.
The equation of line given -
6x + 9y = 216.
Rearranging it -
9y = - 6x + 216
y = (-6/9)x + (216/9)
y = (-2/3)x + 24 ... Eq [ 2 ]
Comparing Eq[2] with Eq[1], we get -
m = -2/3
Therefore, the slope of the line with equation → 6x + 9y = 216 is -2/3.
Two parallel lines have same slope. Hence, the slope of line parallel to
line with equation → 6x + 9y = 216 is -2/3
Therefore, the slope of line parallel to line with equation →
6x + 9y = 216 is -2/3.
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What is the slope of the line that passes through the points (-8,-1)
and (-12, -2)? Write your answer in simplest form.
Answer:
[tex]m=\frac{1}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-8, -1)
Point (-12, -2)
Step 2: Find slope m
Substitute: [tex]m=\frac{-2+1}{-12+8}[/tex]Add: [tex]m=\frac{-1}{-4}[/tex]Divide: [tex]m=\frac{1}{4}[/tex]Which two consecutive integers does the square root of 200 fall between
Answer:
14 and 15
Step-by-step explanation:
Helppp! (m−3+4n)⋅(−8)
Answer:
-8m + 3 - 32n
Step-by-step explanation:
Distributive Property
-8m + 3 - 32n