Company A = 111
Company B = 75 + 0.90m ( 75 plus 0.90 per mile)
Set the 2 to equal and solve for m ( miles)
111 = 75 + 0.90m
Subtract 75 from each side:
36 = 0.90m
Divide both sides by 0.90:
m = 36 / 0.90
m = 40
At 40 miles both Company A and Company B would cost the same.
So for Company A to cost less than Company B, you would have to drive more than 40 miles.
m>40
Samuel needs 332 feet of wood to bulid a fence the wood comes in lengths of 15 feet .How many total piece of wood will samuel need ? Theresa needs twice as many feet of wood samuel ? How many pieces of wood does theresa need ?
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
Find the value of i77.
A) 1
B) i
C) −1
D) −i
[tex]i^{77}=i^{4\cdot19+1}=(i^4)^{19}\cdot i^1=1^{19}\cdot i= i[/tex]
i^77 = (i^4)^19 * i
= 1^19 * i
= 1 * i
= i
Answer is i
Which of the following is the minimum value of the equation y = 2x^2 + 5?
A) 0
B) 5
C) 2
D) -5
Hideko's co-payment is 20% of 23,890. Her co-payment is
Total amount = 23890
Co- payment =20% of total amount
So (20/100)( 23890)
20% of 23890 = 4778
Answer is 4778
Solution is also given in attachment below
Which methods can be used to expand (x+3)3?
Which methods can be used to expand (x+3)3?
Solution
Here use the Distributive Property of Multiplication Across the Addition.
The Distributive Property is a.(b + c) = a. b + a.c
Using the distributive property, we can expand the given expression.
(x + 3).3 = 3.x + 3.3
That is the expanded form.
The expression (x+3)³ can be expanded by using the binomial expansion method or by multiplying (x+3) by itself three times. This involves using binomial coefficients and combining like terms or calculating the products directly and simplifying the resulting expression.
To expand (x+3)³, we can use binomial expansion, which involves recognizing the pattern of coefficients that arise from Pascal's Triangle or using the binomial theorem. Another way is to multiply (x+3) by itself three times. In both methods, you calculate the products and combine like terms to get the final expanded form.
For cubing of exponentials, such as cubing (x+3), you must calculate each term of the binomial raised to the third power and then combine like terms. The cube of the digit term is calculated as usual, and you multiply the exponents by 3 when dealing with exponential terms.
An example of this concept applied to individual exponentials is: (5³)⁴ = 5³*⁴ = 5¹². In our case of binomial expansion, the expanded form of (x+3)³ would be x³ + 3*x²*³ + 3*x*3² + 3³, which simplifies to x³ + 9*x² + 27*x + 27.
2x2 - 3x - 2 = x + 4.check all of the solutions to this equation.-137(–1, 3)(3, 7)
Answer:
-1 and 3
Step-by-step explanation:
The equation can be solved using the quadratic formula, resulting in two possible solutions: x = (-3 + √25) / 4 and x = (-3 - √25) / 4.
Explanation:This equation can be solved using the quadratic formula. For an equation of the form ax² + bx + c = 0, we rearrange it to 2x² - 3x - 2 = x + 4.
Now, using the quadratic formula, we can solve for the values of x:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values a = 2, b = -4, and c = -6 into the formula, we get:
x = (-(-3) ± √((-3)² - 4(2)(-2))) / (2(2))
After simplification, we have x = (-3 ± √(9 + 16)) / 4
Which gives us two solutions: x = (-3 + √25) / 4 and x = (-3 - √25) / 4
Learn more about Quadratic equations here:https://brainly.com/question/30098550
#SPJ2
The number 5.003 × 10 -5 written in standard form is _____.
HELP PLEASE PLEASE PLEASE
Enter a recursive rule for the geometric sequence.
2, 6, 18, 54, …
a1= ; an=
Answer:
Step-by-step explanation:
Given a geometric sequence.
2, 6, 18, 54, …
We have to find the I and nth term.
A geometric sequence. is one where each term is multiplied by a constant value to get the next term.
In our sequence, we find the pattern as each term is multiplied by 3 to get successive terms.
Hence common ratio r = 3
First term = a = 2
For Geometric sequence nth term = a_n = ar^(n-1)
Hence we get a_1 = 2
and a_n = 2(3)^(n-1)
By substituting for n any natural number we can get that term.
please help asap 20 pts
9x < 54 |divide both sides by 9
x < 6
---------------------
-4x < 12 |change the signs
4x > -12 |divide both sides by 4
x > -3
-3 < x < 12
Answer: b.
Write all of the factors 12 and 18 have in common
2 and 6 can go into it evenly
Number 12 have factors 12 = ( 1,2,3,4,6,12)
Number 18 have factors 18= ( 1,2,3,6,9,18 )
According to this we can conlude that numbers 12 and 18 have in common (1,2,3 and 6).
Good luck!!!
I am F years old and my brother is B years older.What is the sum of our ages?
If you are F years old and your brother is B years older, then your brother is F+B years old. Add your age (F) and your brother's age (F+B) and you get F+(F+B) = 2F+B
The sum of your ages is 2F+B
where F and B are placeholders for numbers.
The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of arabica and robusta beans is modeled by the equation below, where a = the pounds of arabica and r = pounds of robusta: (2 points) 700a + 1200r = 1,000,000 if a mixture contains 1000 pounds of arabica beans, how many pounds of robusta beans should be in the mixture? R = pounds
700a + 1200r = 1,000,000
700(1000) + 1200r = 1,000,000
700,000 + 1200r = 1,000,000
1200r = 300,000
r = [tex]\frac{300,000}{1200} = \frac{3000}{12} = 250[/tex]
Answer: 250 pounds of robusta beans
WILL GIVE FIRST ANSWER BRAINLIEST
Use the substitution method to solve the system of equations. 3x + 7y = 1 y = x – 7
A. (3, –4)
B. (4, –3)
C. (2, –5)
D. (5, –2)
Answer: The correct option is (D) (5, -2).
Step-by-step explanation: We are given to use the method of substitution to solve the following system of equations :
[tex]3x+7y=1~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of y from equation (ii) in equation (i), we get
[tex]3x+7y=1\\\\\Rightarrow 3x+7(x-7)=1\\\\\Rightarrow 3x+7x-49=1\\\\\Rightarrow 10x=50\\\\\Rightarrow x=\dfrac{50}{10}\\\\\Rightarrow x=5,[/tex]
and from equation (ii) again, we get
[tex]y=x-7=5-7=-2.[/tex]
Thus, the required solution is (x, y) = (5, -2).
Option (D) is CORRECT.
Does This. Graph Represent A Function? Why Or Why Not?
Answer: D. Yes because it passes the vertical line test.
Step-by-step explanation
A function cannot have duplicate x-coordinates.
When given a table or a set of coordinates, if there is an x-coordinate that is paired with two different y-coordinates then it is not a function.
When given a graph, the simplest way to determine if it is a function is to use the vertical line test. If you can draw a vertical line anywhere through the graph and it passes through two points, then it is not a function.
In the given graph, it passes the vertical line test so it IS a function.
Solve for x. 78(−32−48x)+36=23(−33x−18)−10x Enter your answer in the box. x =
Answer:
x=-0.688
Step-by-step explanation:
-2496-3744x+36 = -759x-414-10x
-2460-3744x = -769x-414
-2975x = 2046
You earn $9.20 per hour at your summer job. Write and solve an inequality that represents the number of hours you need to work in order to buy a smartphone that cost $299.
Evaluate:
8C6
A.
28
B.
48
C.
56
D.
112
[tex]C^n_m=\left(\begin{array}{ccc}m\\n\end{array}\right)=\dfrac{m!}{n!(m-n)!}\\\\C^6_8=\left(\begin{array}{ccc}8\\6\end{array}\right)=\dfrac{8!}{6!(8-6)!}=\dfrac{6!\cdot7\cdot8}{6!\cdot2!}=\dfrac{7\cdot8}{1\cdot2}=\dfrac{56}{2}=28[/tex]
Answer:
28 because I have done this
Step-by-step explanation:
1400000000000000000000km in scientific notation
1 400 000 000 000 000 000 000 km = 1.4 * 10^21 km
Number 4. List all possible rational zeros of g(x)=2x^3 -6x^2 +x-9
Correct answer will get brainliest
The complete solution is in image attached.
Mrs. Carson pays kristin $48 for babysitting 6 hours, and mr. Vasquez pats her $67.50 for babysitting 9 hours. Who pays kristin the better salary? Explain your answer.
If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the chord?
A. 15.2 units
B. 3.8 units
C. 30.4 units
D. 7.6 units
Answer:
The correct answer is A. 15.2 units
Step-by-step explanation:
The segment AB is congruent to the segment BC eg AB≅BC Why?
We can prove it with the triangle congruent theorem, postulate side-side-angle
We are watching triangle ΔABO and triangle ΔCBO, they are congruent
first element side OB=OB - common side
second element side OA=OC=r - radius of the circle
third element angle ∡ABO≅∡CBO=90°
According to the postulate side-side-angle we can conclude that triangles
ΔABO≅ΔCBO (triangles are congruent)
If they are congruent all of their elements are also congruent and therefore also
side AB=BC => AB+BC=AC, which is chord => 7.6+7.6=15.2 units
AC= 15.2 units ( chord )
Good luck!!!
Answer:
The correct answer is A. 15.2 units!
Step-by-step explanation:
Which is the correct equation for the following graph?
A.) Y = 3x – 5
B.) Y = -3x + 5
C.) Y = 1/3x – 5
D.) Y = 3x + 5
Please help!!!!!!!!!!!!!!!!!!!!!!!!! 100 points!
Answer:
Your answer is B or option 2.
Step-by-step explanation:
When doing scale factors, you will multiply. Always. To get from the original box to the second box, you will multiply by a scale factor of 5/8. An equation can model this. b=5/8a. (Let a = dimensions of original/blue box, let b = dimensions of second/green box).
Since you need to find the dimensions of the first/original box, you need to change b=5/8a to a= [something]. To do that, divide both sides by 5/8. You have b / 5/8 = a. The dimensions of the second box divided by the scale factor 5/8 is the dimensions of the first box. This also makes sense, because the green box looks smaller than the blue box. Hope I helped! This is a challenging subject to explain properly. ^_^"
oh yeah kekeke my name is pizaz/pzaz, what a coinkidink
The answer is D.
Since the original rectangle is bigger, we are going to divide the dimensions in the smaller triangle by the scale factor 5/8. An easy hint to look at in this question is an answer choice that both dimensions are bigger than the dimensions of the smaller rectangle. All the other choices are incorrect because the dimensions of the original triangle are not bigger than that of the smaller triangle which makes them false.
Best of Luck!
A taxi service charges $1.00 for the first 1/10 mile then $0.10 for each additional 1/10 mile after that.
Answer:
y = 1.00+0.10 x
Step-by-step explanation:
Given that a taxi has a minimum charge of 1 dollar upto 1/10 mile and adds 0.10 for every additional 1/10 mile.
If a person travels <=1/10 miles his charges are 1 dollar
If he travels >1/10 miles charges are 1 dollar +0.10(extra miles 1/10)
Let y be the charges and x be the no of 1/10 miles.
Then the equation for y in terms of x would be
y =1.00 +1/10(x)
y = 1.00+0.10 x
Find the greatest common factor of 14w^3 and 15w^4
Anna is given the equation 3 + 2x = 2x + 3 The replacement set is {2, 3, 4, 5} Anna says the solution is {3}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?
Answer:
The given equation has infinite number of solutions. This means that any real number can be considered a solution to the given equation.
Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.
This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.
Explanation:
To solve for x, we need to isolate the x on one side of the equation.
This can be done as follows:
3 + 2x = 2x + 3 (subtract 3 from both sides)
2x = 2x (subtract 2x from both sides)
0 = 0
This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.
Let's verify this using the given replacement set {2,3,4,5}:
For x = 2:
Left hand side: 3 + 2(2) = 3 + 4 = 7
Right hand side: 2(2) + 3 = 4 + 3 = 7
Both sides are equal.
For x = 3:
Left hand side: 3 + 2(3) = 3 + 6 = 9
Right hand side: 2(3) + 3 = 6 + 3 = 9
Both sides are equal.
For x = 4:
Left hand side: 3 + 2(4) = 3 + 8 = 11
Right hand side: 2(4) + 3 = 8 + 3 = 11
Both sides are equal.
For x = 5:
Left hand side: 3 + 2(5) = 3 + 10 = 13
Right hand side: 2(5) + 3 = 10 + 3 = 13
Both sides are equal.
Hope this helps :)
The product of a number p p and six is written as
"Product" tells you to multiply the two terms given.
p * 6 = 6p
Also, check your keyboard or whatever device you are using, it's doubling up the variable. It happened in your other question (source: https://brainly.com/question/11261394) as well.
Which of the following is the correct expansion of (x + 5)(x + 3)?
A.x2 + 15x + 8
B.x2 + 8x + 15
C.x2 + 5x + 8
D.x2 + 3x + 5
The answer would be B. x^2+8x+15
The scale on a map of viginia shows tht 1 inch represents 30 miles. The actual distance from richmond, va to washington dc is 110 miles. On the map how many inches are between the two cities
Solve the following multiplication problems.
a. 9 kg 3 hg 1 cg × 9 =
b. 11 dg 4 cg × 12 =
c. 10 g 5 dg × 6 =
d. 5 g 3 dg 4 cg × 8 =
help...
Answer:
Step-by-step explanation:
We convert into decimals and then multiply
Otherwise we can convert everything into one unit and then multiply.
10 hg = 1 kg and 100x1000 cg = 1kg
Using this
a. 9 kg 3 hg 1 cg × 9 = 9.300001x9=83.700009 kg
b. 11 dg 4 cg × 12 = 11.400004x12 =16.8000048kg
c. 10 g 5 dg × 6 = 10.5x6 =63.0 kg
d. 5 g 3 dg 4 cg × 8 =5.300004x8 = 42.400032