Answer:
She traveled 13 23/56 miles on the third day.
Step-by-step explanation:
HOPE THIS HELPED ;3
Graph the line that represents the equation 25 PTS
Answer:
Figure show the equation of line : y=[tex]\frac{-2}{3} x+1[/tex]
Step-by-step explanation:
Given equation of line is y=[tex]\frac{-2}{3} x+1[/tex]
To plot the equation of line:
For equation of line, we need at least two points
Let x=0
y=[tex]\frac{-2}{3} x+1[/tex]
y=[tex]\frac{-2}{3}0+1[/tex]
y=1
The required point is (0,1)
Let x=3
y=[tex]\frac{-2}{3} x+1[/tex]
y=[tex]\frac{-2}{3}3+1[/tex]
y=(-1)
The required point is (3,-1)
Using points (0,1) and (3,-1) to plot the graph.
Figure show the equation of line : y=[tex]\frac{-2}{3} x+1[/tex]
Solve. 4(a + 2) = 8 + 4a
−2
all real numbers
no solution
−1
Answer:
No solution
Step-by-step explanation:
4(a+2)=8+4a-2
4a+8=8+4a-2
0+8=8-2
0= -2
no solution
Answer:
no solution
Step-by-step explanation:
Given
4(a + 2) = 8 + 4a - 2 ← distribute left side
4a + 8 = 6 + 4a ( subtract 8 from both sides )
4a = - 2 + 4a ( subtract 4a from both sides )
0 = - 2 ← not possible
This indicates the equation has no solution
Find the solution to the system of equations.
y=2x+3
y=−3x+3
The solution to the system of equations is: x = 0 and y = 3
To find the solution to the system of equations, we need to find the values of "x" and "y" that satisfy both equations simultaneously. We can do this by setting the two expressions for "y" equal to each other since they both represent the same value of "y".
Since both equations are equal to "y," we can set them equal to each other:
2x + 3 = -3x + 3
Now, let's solve for "x":
2x + 3x = 3 - 3
Combine the "x" terms:
5x = 0
Now, divide both sides by 5 to solve for "x":
x = 0
Now that we have the value of "x," we can find the corresponding value of "y" using either of the original equations. Let's use the first equation:
y = 2x + 3
y = 2(0) + 3
y = 3
So, the solution to the system of equations is:
x = 0
y = 3
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Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4.
Answer:
[tex]\large \boxed{y + 1 = 4(x - 1)}[/tex]
Step-by-step explanation:
The point-slope formula for a straight line is
y - y₁= m(x - x₁)
x₁ = 1; y₁ = -1; m = 4
Substitute the values
[tex]\begin{array}{rcl}y - (-1) & = & 4(x - 1)\\y + 1 & = & 4(x - 1)\\\end{array}\\\text{The equation for the line in point-slope form is $\large \boxed{\mathbf{y + 1 = 4(x - 1)}}$}[/tex]
The figure shows the graph of the equation with slope 4 passing through (1, -1).
The point-slope form of the equation for the line that passes through the point (1, –1) with a slope of 4 is [tex]y + 1 = 4(x - 1).[/tex]
Explanation:To select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4, we use the formula [tex]y - y1 = m(x - x1),[/tex] where (x1, y1) are the coordinates of the given point and m is the slope of the line. In this case, the point-slope form of the equation becomes [tex]y + 1 = 4(x - 1).[/tex]
This equation represents a line with a slope (slope) of 4, which means for every one unit increase in x, y increases by 4 units. The equation is structured around a specific point, (1, –1), highlighting the characteristic of point-slope form that the line passes through the given point.
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Bob has p times as many photographs as Alan. Alan has 11 photographs. Write an expression that shows how many photographs Bob has.
Answer:
Number of photographs Bob has can be represented as ⇒ [tex]11p[/tex]
Step-by-step explanation:
Given:
Alan has 11 photographs.
Bob has [tex]p[/tex] times as many photographs as Alan.
To find the expression representing the number of photographs Bob has.
Solution:
Since Bob has [tex]p[/tex] times as many photographs as Alan has so, in order to find the number of photographs Bob has, we will multiply [tex]p[/tex] with number of photographs Alan has.
Alan having 11 photographs, Bob will have as much as:
⇒ [tex]11\times p[/tex]
⇒ [tex]11 p[/tex] photographs
Ryan has 8 kittens. Two are white. Julie has 4 kittens. The fraction of kittens that are not white is the same for Ryan and Julie. What fraction of Julie's kittens are not white? Write in simplest form.
Answer:
1/4 are white. So, 3/4.
Step-by-step explanation:
Pizza Land delivered 144 pizzas in 8 hours on Saturday at that rate, how many pizzas can they deliver in 3 hours
Answer:
54
Step-by-step explanation:
144 divided by 8 is 18
so that means that their hourly rate 18 pizzas per hour
so multiply 18 by 3 and get 54
Given that Pizza Land can deliver 18 pizzas per hour, they can deliver 54 pizzas in three hours.
Explanation:The question is asking us to figure out how many pizzas can be delivered in 3 hours, if Pizza Land can deliver 144 pizzas in 8 hours. This is a rate problem. To solve it, we first need to find out how many pizzas are delivered per hour. We do this by dividing 144 (the total number of pizzas delivered) by 8 (the total number of hours). This gives us 18 pizzas per hour.
Now that we know how many pizzas are delivered per hour, we can multiply this by 3 (the number of hours we are interested in) to get the total number of pizzas that can be delivered in 3 hours. So, 18 pizzas/hour x 3 hours gives us 54 pizzas that can be delivered in 3 hours.
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What does this equation equal to 8x+75-x+50-x+3
Answer:
6x+128
Step-by-step explanation:
I don't know if this is what you meant or not, but I simplified it. First, you collect your like terms and add them up. Like terms would be 8x, and the two -x because they all have x. The other set of like terms would be 75, 50, and 3 because they are all numbers without variables. Add the two groups up separately, and then put them in order with the x in front.
Let x={x|x is a whole number less than 15}, y={x|x is multiple of 3 less than 15}, z={x|x is a real number greater than or equal to 5.5}
What is xny?
A. 0,3,6,9,12
B. 3,6,9,12,15
C. -6,-3,0,3,6,9
D. -6,-3,0,3,6,9,12
. -6,-3,0,3,6,9,12
Answer:
. -6,-3,0,3,6,9,12
a 500-foot weather
tower used to measure wind speed has a guy wire attached to it 200 feet above the ground. The angle between the wire and the vertical tower is 47 degrees. Approximate the length of the guy wire to the nearest foot.
==========================================
Explanation:
See the attached image below. The information that the tower is 500 ft is never used. Focus solely on triangle ABD (ignore point C).
AB = 200
AD = x = unknown
angle ABD = angle B = 47 degrees
Use the cosine rule to help find x
---------
cos(angle) = adjacent/hypotenuse
cos(B) = AB/BD
cos(47) = 200/x
x*cos(47) = 200
x = 200/cos(47)
x = 293.255837127926
Rounding to the nearest foot, we get 293 feet as the answer.
The length of the guy wire is 273.5 feet.
Trigonometric ratio show the relationship between the sides and angles of a right angled triangle.
Let d represent the length of the guy wire.
Using trigonometric ratios:
[tex]sin(47)=\frac{200}{d} \\\\d=\frac{200}{sin(47)} \\\\d=273.5\ feet[/tex]
The length of the guy wire is 273.5 feet.
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Evaluate If
a = 3 and c= 6:
(a + c2 - 1) - a3 + 7 =
Answer:
the answer is 12
Step-by-step explanation:
[tex] = (3 + 2(6) - 1) - 3(3) + 7 \\ = (14) - 9 + 7 \\ = 14 - 2 \\ = 12[/tex]
[tex] - 5x + 3y = 51 \\ y = 10x - 8[/tex]
Answer:
-5x + 3(10x - 8)= 51
-5x + 30x - 24 = 51
25x - 24 = 51
25x = 75
x = 3
y = 10(3) - 8
y = 30 - 8
y = 22
(3, 22)
find the slopes of the lines graphed below
Answer:
There is no picture
Step-by-step explanation:
For which scatterplot is the correlation strongest?
Answer:
B
Step-by-step explanation:
edge
The scatterplot that has a stronger correlation is B.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The correlation coefficient helps us to know how strong is the relation between two variables.
The value is always between +1 to -1, where, the numerical value shows how strong the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.
-1 indicates a strong negative relationship.
A result of zero indicates no relationship at all, therefore, an independent variable.
Since the scatterplot is the relationship between the two variables and as in the first graph the value of a single x can return multiple values for y.
Therefore, the scatterplot that has a stronger correlation is B.
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The base of a triangle is three times it's height. If the area of a triangle is 54 square inches ,find its height.
The height of the triangle is: 6 inches
Step-by-step explanation:
Given
Area = A = 54 square inches
Let be be the base of the triangle and
h be the height
Then
b = 3h
The area of triangle is given by:
[tex]Area = 0.5 * base * height\\Putting\ values\\54 = 0.5 * 3h * h\\54 = 1.5h^2\\\frac{54}{1.5} = \frac{1.5h^2}{1.5}\\h^2 = 36[/tex]
Taking square root on both sides
[tex]\sqrt{h^2} = \sqrt{36}\\h = 6[/tex]
Hence,
The height of the triangle is: 6 inches
Keywords: Linear equations, square roots
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two interior angles of a pentagon measures 112 degrees and 68 degrees and the remaining angles are of the same measures. Find the measures of this angle
Answer:
120 degrees
Step-by-step explanation:
The angles in a pentagon add up to 540 degrees. This means that we can set up an equation to find this. We'll call the measure of the angle that we want to find x.
112+68+3x=540
Solving this, we get 180+3x=540, and 3x=360. That means that x is 120 degrees.
The interior angles of the pentagon is A = { 112° , 68° , 120° , 120° , 120° }
What is the sum of the interior angles of a polygon?The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the polygon be represented as A = pentagon
The number of sides n = 5
So , the sum of interior angles of A = nθ = 180 ( n - 2 )
nθ = 180 ( 5 - 2 ) = 540°
The 2 angles of the pentagon = 112° , 68°
And , let the remaining angles = x + x + x
So , x + x + x + 112° + 68° = 540°
On simplifying , we get
3x + 180° = 540°
3x = 360°
x = 120°
Hence , the angles are 120° each
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A tortoise travels 2/12 miles per hour describe two different methods to determine the number of miles it will take to walk 3 2/3 miles. Plz help
Answer:
11/18 miles
Step-by-step explanation:
3 2/3=11/3
2/12=1/6
1/6*11/3=11/18
PLEASE ANSWER ASAP!!
Fred earned $5,000 during the month of June.
Use the paycheck statement to find the missing amounts and percent rates of the taxes Fred paid.
Answer:
Fred paid US$ 310 to Social Security as a payroll tax
Fred paid US$ 72.50 to Medicare as a payroll tax
Fred paid 18% of his income to the Federal government as an income tax
Fred paid 5% of his income to the state government as an income tax
Step-by-step explanation:
Fred's earnings in June were $ 5,000
A. Payment to Social Security
5,000 * 6.2% = 5,000 * 0.062 = 310
B. Payment to Medicare
5,000 * 1.45% = 5,000 * 0.0145 = 72.50
C. Federal Income Tax
900/5,000 = 0.18 = 18%
D. State Income Tax
250/5,000 = 0.05 = 5%
Final answer:
Calculating net income, monthly income, and tax rates based on Fred's earnings in June.
Explanation:
Mathematics
Calculate the Net Annual Income for Fred:
Calculate Social Security deduction: $5,000 * 6.2% = $310Calculate Medicare deduction: $5,000 * 1.45% = $72.50Calculate Federal and State taxes: $5,000 * 15% = $750Net Annual Income for Fred: $5,000 - $310 - $72.50 - $750 = $3,867.50Calculate Monthly Income for Fred: $3,867.50 / 12 = $322.29
Percent Rates of Taxes Paid by Fred:
Percent of Social Security Tax: ($310 / $5,000) * 100 = 6.2%Percent of Medicare Tax: ($72.50 / $5,000) * 100 = 1.45%Percent of Federal and State Taxes: ($750 / $5,000) * 100 = 15%y=5683x + 976, will it pass through the origin?
Answer:
No, it will not pass through origin.
Step-by-step explanation:
Given:
The equation of the line is:
[tex]y=5683x+976[/tex]
The coordinates of the origin are [tex]x=0,y=0[/tex]. So, if the line passes through the origin, then the 'y' value at [tex]x=0[/tex] must be 0.
Let us check the 'y' value at [tex]x=0[/tex].
Plug in [tex]x=0[/tex] in the above equation. This gives,
[tex]y=5683\times 0 + 976[/tex]
[tex]y=0+976[/tex]
[tex]y=976[/tex]
So, at [tex]x=0[/tex], the value of 'y' is 976 which is not equal to 0.
Hence, it will not pass through the origin as for [tex]x=0[/tex], the value of 'y' is not 0.
The equation y = 5683x + 976 has a y-intercept of 976, not 0; hence it does not pass through the origin.
Explanation:To determine whether the equation y = 5683x + 976 will pass through the origin, you need to check if the point (0,0) satisfies the equation. An equation of a line will pass through the origin if its y-intercept is 0. The y-intercept is the value of y when x is 0. Looking at the given equation, if we substitute x with 0, we get y = 5683(0) + 976, which simplifies to y = 976. Therefore, the y-intercept is 976, not 0. This means the line does not pass through the origin since the y-intercept is a point on the y-axis located at (0, 976).
What is 14,500 rounded to the nearest ten thousand
Answer:
10,000
Step-by-step explanation:
14,500 *4 is less that five.
round it down and you get
10,000For each trip they charge on intail fee of 100 in additoin to a constant fee for each vertical letter climbed for instance the price for climbing to the shura volcianc cone which in 3000 meters above the base of the mountain in 400. Let f represent the fee in dollors of a trip they climbed d vertical meters
Answer:
f = 100 + 0.133d
Step-by-step explanation:
For each trip, they charge an initial fee of 100 in addition to a constant fee for each vertical meter climbed.
For example, for 3000 meters of climbing, they charged the additional constant fee of 400.
Therefore, per meter climbing they charges [tex]\frac{400}{3000} = 0.133[/tex].
Therefore, if f represents the fee in dollars of a trip they climbed d vertical meters then we can model the situation as
f = 100 + 0.133d (Answer)
Find the ordered pair solution of y = (2/5)x + 2 corresponding to -5
The ordered pair solution of y = (2/5)x + 2 corresponding to -5 is (x, y) = (-5, 0)
Solution:
Given that we have to find the ordered pair solution of [tex]y = \frac{2}{5}x + 2[/tex] corresponding to -5
Let us find the ordered pair corresponding x = -5
Ordered pairs are often used to represent two variables
The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate
Substitute x = - 5 into the function and evaluate for y
[tex]y = \frac{2}{5}x + 2\\\\y = \frac{2}{5}(-5) + 2\\\\y = 2(-1) + 2\\\\y = -2 + 2\\\\y = 0[/tex]
Therefore the ordered pair is x = -5 and y = 0 which is (x, y) = (-5, 0)
If the volume of a cube is 729 cm3, what is the surface area of the cube?
A) 462 cm2
B) 474 cm2
C) 486 cm2
D) 494cm2
Answer:
Step-by-step explanation:
The answer is C because V = s3 → 729 = s3 → 9 = s
Therefore, SA = 6s2 = 6(9)2 = 486 cm2
solve the equations
4c=16
Multiply(2.3x10^-5)(3.1x10^12)
Answer: 71300000
Step-by-step explanation:
Answer:
7.13 x 10^7.
Step-by-step explanation:
2.3x10^-5)(3.1x10^12
= 2.3x3.1 x 10^-5 x 10^12
= 7.13 x 10^(-5+12)
= 7.13 x 10^7.
FIRST ONE TO ANSWER GETS A BRAINLY!!! PLZ HELP ME!!!
Solve for x.
3x−8≤23 AND −4x+26≥6
Choose 1 answer:
A:
x≤31/3 (fraction)
B:
x≤5
C:
5≤x≤31/3 (fraction)
D:
There are no solutions.
E:
All values of x are solutions.
To solve the given system of inequalities, we need to find the values of x that satisfy both inequalities. The solution is x ≤ 5.
Explanation:To solve the given inequalities, we need to find the values of x that satisfy both inequalities. Let's start with the first inequality:
3x - 8 ≤ 23
Adding 8 to both sides, we get:
3x ≤ 31
Dividing both sides by 3, we get:
x ≤ 31/3
Now, let's move on to the second inequality:
-4x + 26 ≥ 6
Subtracting 26 from both sides, we get:
-4x ≥ -20
Dividing both sides by -4 (and reversing the inequality sign since we're dividing by a negative number), we get:
x ≤ 5
Therefore, the solution to the system of inequalities is x ≤ 5. Answer choice B is correct.
Through(-4,4) slope =-3/4
Answer:
[tex]y = - \frac{3}{4}x - 7[/tex]
Step-by-step explanation:
We have to find the equation of the straight line which has the slope equal to [tex]- \frac{3}{4}[/tex] and passes through the point (-4,-4).
As the slope of the equation is [tex]- \frac{3}{4}[/tex], hence by slope-intercept form the equation of the straight line will be given by
[tex]y = - \frac{3}{4}x + c[/tex] .......... (1), where c is any constant which we have to evaluate from the given point on the line (-4,-4).
So, the point (-4,-4) satisfies the equation (1) and hence,
[tex]- 4 = - (\frac{3}{4}) \times (- 4) + c[/tex]
⇒ - 4 = 3 + c
⇒ c = - 7
Therefore, the equation of the straight line will be
[tex]y = - \frac{3}{4}x - 7[/tex] (Answer)
I have some beads. When I divide them into 4 equal groups, 1 bead is left. When I split one such group into 4 equal groups again, the remainder will still be 1. When I split one such groups again, the remainder is still 1. What is the minimum number of beads I have?
Answer:
I have a minimum of 85 beads.
Step-by-step explanation:
Let in the final 4 groups that I have made there is only 1 bead in each.
So, the total number of beads in each of the previous groups will be (1 × 4 + 1) = 5.
Now, in each of the previous 4 groups, there are 5 beads and there is a remaining one bead.
So, the total number of beads in each of the previous groups will be (5 × 4 + 1) = 21.
Now, in each of the first 4 groups, there are 21 beads and there is a remaining one bead.
So, the total number of beads that I had initially will be (21 × 4 + 1) = 85.
Therefore, I have a minimum of 85 beads. (Answer)
Note: Remember to show all the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Harry rides his bike 25 Start Fraction 3 over 8 End Fraction miles. Karen rides her bike 25two-fifths miles. Who rides farther?
PLEASE HELP! I WILL MARK BRAINLIEST. 15 POINTS
Answer:
Harry rides further.
Step-by-step explanation:
First, you have to find the least common denominator of 8 and 5, which is 40.
3*5=15, 2*8=12
Hope this helps!!!
Karen rides farther.
What is comparison?Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.
Given that, Harry rides his bike 25 3/8 miles. Karen rides her bike 25 2/5 miles, we are asked to find who rides farther,
Harry's distance = 25 3/8 = 203/8
Karen's distance = 25 2/5 = 127/5
Subtracting Harry's distance by Karen's distance,
203/8 - 127/5
= 1015-1016/40
= -1/40
Since, the result is in minus that means 127/5 is greater than 203/8.
Therefore, Karen's covers more distance than Harry.
Hence, Karen rides farther.
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Please please I really need help on both of these Thank you
Answer:
f(x) has a vertical asymptote at x = 5 and a horizontal asymptote at y = 2.
[tex]g(x) = \frac{1}{x-5}+2[/tex] is shifted 5 units to the right and 2 units up from f(x), as shown in figure a.
Step-by-step explanation:
Question # 4 Solution
[tex]f(x) = \frac{1}{x-5}+2[/tex]
Determining Vertical Asymptote:
Setting the denominator equal to zero, we can determine the value of vertical asymptote.
As,
x - 5 = 0
x = 5
So, x = 5 is the Vertical Asymptote:
Determining Horizontal Asymptote
[tex]f(x) = \frac{1}{x-5}+2[/tex]
[tex]f(x) = \frac{2x-10}{x-5}[/tex]
If the degree of both numerator and denominator is same, then the horizontal asymptote can be obtained by determining the ratio of leading coefficient of the nominator to the leading coefficient of denominator.
As the leading coefficient of nominator is 2, and the leading coefficient of denominator is 1. So, the ratio of the leading coefficient of nominator to the leading coefficient of denominator is will get the horizontal asymptote.
Hence, y = 2/1 → y = 2 will be the horizontal asymptote.
So, f(x) has a vertical asymptote at x = 5 and a horizontal asymptote at y = 2.
Question # 5 Solution
A translation makes any graph of function move up or down - Vertical Translation - and right or left - Horizontal Translation.
For example, if we replace the graph of y = f(x) with the graph of y = f(x - 5), meaning the graph y = f(x) will shift right by 5 units so it is f(x - 5).
Important Note: Adding moves the graph to the left; subtracting moves the graph to the right.
As [tex]g(x) = \frac{1}{x-5}+2[/tex] compare to the parent function f(x) = 1/x.
The graph of f(x) = 1/x is shown in figure a. If we compare the graph of f(x) = 1/x with the graph of g(x) = 1 ÷ (x - 5), meaning the graph g(x) = 1 ÷ (x - 5) is shift right by 5 units, as shown in figure (a).
Now, take [tex]g(x) = \frac{1}{x-5}+2[/tex], we observe that graph [tex]g(x) = \frac{1}{x-5}+2[/tex] is now 2 units up from f(x). Adding 2 units to the output shifts the graph up by 2 units, as shown in figure a.
Hence, [tex]g(x) = \frac{1}{x-5}+2[/tex] is shifted 5 units to the right and 2 units up from f(x). The figure a shows the complete result of the graph [tex]g(x) = \frac{1}{x-5}+2[/tex].
Keywords: graph shift, vertical asymptote, horizontal asymptote
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