What is the unit rate of 15 degrees in 2 hours.
PLEASE HELP!
Yolanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and costs an additional $0.11 per mile driven. The second plan has an initial fee of $50 and costs an additional $0.13 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same?
(algebra)
Solve for x.
Fx-gx=h
If we solve the equation which is (F × x ) - (g × x ) = h , we will get the value of x as x = h / ( F - g ).
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
An equation is given which is :
(F × x ) - (g × x ) = h
We have to solve this equation to get the value of the variable x.
So, the value of x can be calculated as :
(F × x ) - (g × x ) = h
Taking common x from LHS :
x ( F - g ) = h
Dividing by ( F - g ) on both sides we get :
[ x ( F - g ) / ( F - g )] = h / ( F - g )
or
x = h / ( F - g )
Therefore , if we solve the equation which is (F × x ) - (g × x ) = h , we will get the value of x as x = h / ( F - g ).
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if pictures width 4+w and the length measures 8w+2, how much longer is the picture than it is wide?
The picture is 7w - 2 units longer than it is wide, this is found by subtracting the width (4+w) from the length (8w+2).
To find out how much longer the picture is than it is wide, we must compare the picture's length and width. Given the picture's width is 4+w and the length is 8w+2, we subtract the width from the length to find the difference:
Length - Width = (8w+2) - (4+w) = 8w + 2 - 4 - w = 7w - 2.
Therefore, the picture is 7w - 2 units longer than it is wide.
What is the solution of -8/2y-8=5/y+4 - 7y+8/y^2-16
Answer:
y = 8Step-by-step explanation:
[tex]Domain:\\\\2y-8\neq0\ \wedge\ y+4\neq0\ \wedge\ y^2-16\neq0\\\\2y\neq8\ \wedge\ y\neq-4\ \wedge\ y^2\neq16\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq\pm\sqrt{16}\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq-4\ \wedge\ y\neq4\\\\\boxed{y\neq-4\ \wedge\ y\neq4}\\\\===========================[/tex]
[tex]\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-4^2}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}\qquad\text{multiply both sides by (-2)}\\\\\dfrac{8}{y-4}=-\dfrac{10}{y+4}+\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{add}\ \dfrac{10}{y+4}\ \text{to both sides}\\\\\dfrac{8}{y-4}+\dfrac{10}{y+4}=\dfrac{14y+16}{(y-4)(y+4)}[/tex]
[tex]\dfrac{8(y+4)}{(y-4)(y+4)}+\dfrac{10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{8(y+4)+10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{use the distributive property}\\\\\dfrac{8y+32+10y-40}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{combine like terms}\\\\\dfrac{(8y+10y)+(32-40)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{18y-8}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\iff18y-8=14y+16\\\\18y-8=14y+16\qquad\text{subtract 14y from both sides}[/tex]
[tex]4y-8=16\qquad\text{add 8 to both sides}\\\\4y=24\qquad\text{divide both sides by 4}\\\\y=8\in D[/tex]
Answer:
6
Step-by-step explanation:
The function f(x) is graphed on the coordinate plane.
What is f(−2) ?
Enter your answer in the box.
f(−2) = ?
Hannah travels 6 times as many minutes than Raoul does. Together, they travel 63 minutes. How many minutes does Hannah travel? Draw a model and wrote an equation to solve.
9.17/15.00
Is this a A+ or A or B or C
The function g(x) = –x2 + 16x – 44 written in vertex form is g(x) = –(x – 8)2 + 20. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –x2 + 16x – 44?
Answer:
the graph of f(x) will be reflected over x axis, moved 8 units to the right and shifted 20 units up to get g(x)
Step-by-step explanation:
The function [tex]g(x) = -x^2 + 16x - 44[/tex] written in vertex form is [tex]g(x) = -(x - 8)^2 + 20[/tex]
The parent function is f(x)=x^2
Now we compare parent function f(x) and g(x)
In g(x), negative sign at first
f(x) ----> -f(x) , the graph is reflected across x axis
f(x)-----> f(x-h), the graph will be transformed h units to right
f(x)----> f(x) +k , the graph will be transformed k units up
[tex] g(x) = -(x - 8)^2 + 20[/tex], the graph of f(x) will be reflected over x axis, moved 8 units to the right and shifted 20 units up to get g(x)
9+(6-6)x4-(-7-(-2)) solved in order of operations
If Sam has 6 different hats and 3 different scarves, how many different combinations could he wear
If Sam has 6 different hats and 3 different scarves, the number of combinations he could wear is: 18 ways.
Given the following data:
Number of hats = 6 hats.Number of scarves = 3 scarves.How to determine combinations.In this exercise, the number of ways 6 different hats and 3 different scarves can be worn without any form of repetition should be calculated by using a combination.
Mathematically, combination is given by this formula:
[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]
Where:
n is the number of items.r is the number of times of choosing items.For Sam's combination:
[tex]_hC_s = 6 \times 3[/tex]
Sam = 18 ways.
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The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours. the life of this bulb is normally distributed. what is the probability that a randomly selected bulb would last longer than 1150 hours?
what is the greatest common factor of 15 and 27
Final answer:
The greatest common factor of 15 and 27 is 3, which is the largest number that divides both numbers without a remainder.
Explanation:
The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 15 and 27, list the factors of each number:
Factors of 15: 1, 3, 5, 15
Factors of 27: 1, 3, 9, 27
The common factors of 15 and 27 are 1 and 3. The largest of these is 3, therefore the greatest common factor of 15 and 27 is 3.
Could 10.7 cm,3.2 cm,and 5.5 cm be the side lenghts of a triangle
One angle of a linear pair is 12 less than half the other angle find both angles
what number has the same absolute value as 81?
What is the factorization of g3 – 125?
(g– 5)(g2 + 5g + 10)
(g – 25)(g2 + 25g + 625)
(g – 5)(g2 + 5g + 25)
(g – 25)(g2 + 5g + 125)
Answer: (C) (g – 5)(g2 + 5g + 25)
Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.
Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Which of the following statements are equivalent to the statement "price increased by 100%"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2/3 % of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
The statements equivalent to a price increase of 100% are that the price doubled and the price is now 200% of the original. These statements mean the new price is twice the original amount.
When analyzing statements that describe a price increase of 100%, it is important to understand that this means the new price is twice the original price. Among the listed statements, the correct ones that are equivalent to a 100% increase in price are:
(A) The price doubled
(G) The price now is 200% of what it was before
These are equivalent because if a price doubles, it is 100% more, making the new price 200% of the original. This can be seen in practical examples, such as if a gumball costs 25 cents and the price doubles, it becomes 50 cents, or 200% of its original cost.
P(-9,1);m=1 use slope intercept form to write an equation of a line passing through the given point and having the given slope. Express answer in Standord form
What is a distributive property of 72 divided by 4
Answer:
[tex]\frac{72}{4}=18[/tex]
Step-by-step explanation:
To find : What is a distributive property of 72 divided by 4 ?
Solution :
The distributive property of division is given by,
[tex]\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}[/tex]
We have to divide 72 by 4,
So, Re-write 72 as 60+12.
Substitute,
[tex]\frac{72}{4}=\frac{60+12}{4}[/tex]
[tex]\frac{72}{4}=\frac{60}{4}+\frac{12}{4}[/tex]
[tex]\frac{72}{4}=15+3[/tex]
[tex]\frac{72}{4}=18[/tex]
Therefore, [tex]\frac{72}{4}=18[/tex]
While the distributive property is typically relevant for multiplication over addition or subtraction, you can apply it to division by first rewriting the division as multiplication by the reciprocal. For example, 72 divided by 4 can be rewritten as 72 times 1/4, and then distributed over a sum or difference.
Explanation:The distributive property involves multiplication and addition or subtraction, not division. However, if we interpret your question in a bit different way, we can make use of the distributive property for division. To start, dividing 72 by 4 is the same as multiplying 72 by 1/4. So, we can rewrite it as follows:
72 * 1/4
The distributive property is applied when you multiply a number by a sum or a difference. For example, in case of [tex]72*1/4 = (40+32)*1/4[/tex], it would distribute as: [tex]40*1/4 + 32*1/4[/tex]. It gives us 10 + 8 = 18 which is the correct answer. This way, the distributive property can be used in division if the division is expressed as a multiplication.
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PLEASE HELP ASAP!!/BRAINLIEST/5 STARS/HEART(THX)!
Jimmy is going to pack his backpack for a trip. His backpack is 60 cubic litres. He has a pile of equipment that takes up 43 cubic litres and then he has his sleeping bag that takes up 23 cubic litres. Let r be the amount of room left in his backpack. Which equation could you use to determine if he has enough room in his backpack.
A) r = 23 + 43
B) r = 23 + 43 + 60
C) 23 + 43 + r = 60
D) 23 + r = 60 + 43
The equation for the given situation is 23 + 43 + r = 60. Therefore, option C is the correct answer.
Given that, Jimmy backpack is 60 cubic liters. He has a pile of equipment that takes up 43 cubic liters and then he has his sleeping bag that takes up 23 cubic liters.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let r be the amount of room left in his backpack.
Total space in backpack = A pile of equipment + Sleeping bag + Room left
So, 60 = 43+23+r
The equation for the given situation is 23 + 43 + r = 60. Therefore, option C is the correct answer.
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The graph shows a line and two similar triangles.
Answer:
Option C. is the correct option.
Step-by-step explanation:
The given line in the graph passes through two points (0, 3) and (3, 7).
We have to find the equation of the line.
Since y = mx + c is the standard equation of a line
where m = slope of the line
c = y - intercept
Slope of a line m = [tex]\frac{(y-y')}{(x-x')}[/tex]
Now we put the values of x and y to find the slope of this line.
m = [tex]\frac{7-3}{3-0}=\frac{4}{3}[/tex]
Since (0, 3) passes through the line
3 = 0 + c
c = 3
Equation of the line will be
[tex]y=\frac{4}{3}x+3[/tex]
Option C. is the answer.
Answer:
me dony know
Step-by-step explanation:
Estimated the difference
645,908 + 335,297
_ - _ = _
write a comparison sentence to resent this equation 6 times 7 equals 42
A comparison sentence for the equation '6 times 7 equals 42' using multiplication.
Comparing the given equation '6 times 7 equals 42' using a sentence:
In comparison to the equation 6 times 7 equals 42, the sentence '7 multiplied by 6 results in 42' represents the relationship between the factors and the product.
Given the equation −4 Square root of x minus 3= 12, solve for x and identify if it is an extraneous solution
Answer:
[tex]x=\frac{225}{16}[/tex] is an extraneous solution.
Step-by-step explanation:
Given : Equation [tex]-4\sqrt x-3=12[/tex]
To find : Solve for x and identify if it is an extraneous solution?
Solution :
Step 1 - Write the equation,
[tex]-4\sqrt x-3=12[/tex]
Step 2 - Add 3 both sides,
[tex]-4\sqrt x-3+3=12+3[/tex]
[tex]-4\sqrt x=15[/tex]
Step 3 - Squaring both sides,
[tex](-4\sqrt x)^2=(15)^2[/tex]
[tex]16x=225[/tex]
Step 4 - Divide both side by 16,
[tex]\frac{16}{16}x=\frac{225}{16}[/tex]
[tex]x=\frac{225}{16}[/tex]
For extraneous solution, Substitute the value of x back in the equation.
[tex] -4\sqrt (\frac{225}{16})-3=12[/tex]
[tex]-4\times\frac{15}{4}-3=12[/tex]
[tex]-15-3=12[/tex]
[tex]-18\neq12[/tex]
The value of x does not satisfy the equation which means the value of x is an extraneous solution.
So, [tex]x=\frac{225}{16}[/tex] is an extraneous solution.
Felicity is placing a rectangle in the coordinate plane. She knows that the longer side of the rectangle is 3 times its shorter side. She places the longer side on the x-axis.
What coordinates should she assign to the top-right vertex of the rectangle?
Answer:
(3a,a)
Step-by-step explanation:
As you know the component on the X vertex is the first that is represented when setting point coordenates, and the second value is in the Y vertex, as you can see the value for Y is a, and in the problem says that the longer side is three times the short side, since the Y vertex is the short side, that means the X vertex will have the longer side, making it 3a. So the coordenates will be (3a,a).
Over the last three evenings, Latoya received a total of 79 phone calls at the call center. The first evening, she received 6 fewer calls than the third evening. The second evening, she received 3 times as many calls as the third evening. How many phone calls did she receive each evening?
A trapezoid is made of a square with side lengths of 7 feet and an isosceles right triangle whose base and height are both 7 feet.What is the area?
The total area of the trapezoid is 73.5 square feet, calculated by adding the area of the square (49 square feet) to the area of the isosceles right triangle (24.5 square feet).
The area of a trapezoid consists of the area of a square and the area of an isosceles right triangle. Since the square has side lengths of 7 feet, its area is 49 square feet (7 feet x 7 feet). The isosceles right triangle, with both the base and the height being 7 feet, has an area of 24.5 square feet (1/2 x 7 feet x 7 feet). Therefore, the total area of the trapezoid is the sum of the areas of the square and the triangle.
Total area = Area of square + Area of triangle
Total area = 49 square feet + 24.5 square feet = 73.5 square feet.
Janelle has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 7mph and walks back at a speed of 3mph how long should she plan to spend walking back?
Final answer:
Janelle should plan to spend 3 hours walking back.
Explanation:
To find out how long Janelle should plan to spend walking back, we need to calculate the total time it takes her to run and walk. Since she runs at a speed of 7mph, she completes the distance of the race in 1 hour (4 miles / 7mph = 0.57 hours = 1 hour). Therefore, she spends 1 hour running and 3 hours left for walking. To find out the distance she walks back, we use the formula distance = speed x time. Since she walks at a speed of 3mph, the distance she walks back is 3mph x 3 hours = 9 miles.