Answer:
-2/3
Step-by-step explanation:
3x=sqrt4-4
3 times a number is 4 less than the square of that number. The negative solution is -1
What are quadratic equations?
Quadratic equations are of the form ax² + bx + c where a ≠ 0.
What is factorization?Factorization, often known as factoring, is the process of expressing a number or another mathematical object or mathematical equations as a product of several factors.
Now, In the given question let's first assume that the unknown number is a variable x.
So, 3 times that number is (3 × x)
And then, 4 less than the square of that number is (x² - 4)
Now, as the question states that 3 times a number is 4 less than the square of that number,
So we can write,
3x = x² - 4
Now, we have to solve this quadratic equation with the help of factorization.
To solve the quadratic equation we first bring all the terms to any of the sides and after rearranging a little the equation is as follows:
x² - 3x - 4 = 0
Now, if we want to find the factors in the form ax² + bx + c we need to multiply a and c and then we have to identify what two numbers sum up to b and multiply to ac.
Here, a = 1, b = -3 and c = -4
Now, ac = -4
So, we have to identify what two numbers sum up to b and multiply to ac. The numbers are -4 and 1 and we can check that they sum up to -3 and multiply to -4.
So first we have to split the equation: x² - 3x - 4 = 0
x² - 4x + 1x - 4 = 0
Now, we have to group the above equation,
(x² - 4x) + (1x - 4) = 0
Taking x common from the first group and taking 1 common from the second group we get,
(x)(x - 4) + (1)(x - 4) = 0
Now, again taking (x - 4) common from the equation we get,
(x - 4) × (x + 1) = 0
So, we set each factor to zero now,
(x - 4) = 0
Adding 4 to each side of the equation we get,
x - 4 + 4 = 4
Simplifying we get,
x = 4
(x + 1) = 0
Adding -1 to each side of the equation we get,
x + 1 - 1 = -1
Simplifying we get,
x = -1
So, we now have two solutions of x that is 4 and -1
But according to the question we only need the negative one.
Therefore, the negative solution is -1
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Which of the following is not a factor of 84?
The answer is I. 8
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Write an equation for the sentence "The product of a number n and 7.7 equals 112.42." Solve for the variable.
Answer:
[tex]7.7n=112.42[/tex]
[tex]n=14.6[/tex]
Step-by-step explanation:
The product is the result obtained by multiplying two factors. Then, the sentence ""The product of a number n and 7.7 equals 112.42" can be expressed with the following equation:
[tex]7.7n=112.42[/tex]
To solve for the variable "n", you has two apply the Division property of equality and divide both sides of the equation by 7.7
Therefore, the value of "n" is:
[tex]\frac{7.7n}{7.7}=\frac{112.42}{7.7}\\\\n=14.6[/tex]
What is the value of x ?
Answer:
x = 108Step-by-step explanation:
[tex]x^o\ \text{and}\ \left(\dfrac{2}{3}x\right)^o\ \text{are suplementary angles, therefore}\\\\x^2+\left(\dfrac{2}{3}x\right)^o=180^o\\\\x+\dfrac{2}{3}x=180\qquad\text{multiply both sides by 3}\\\\3x+2x=540\\\\5x=540\qquad\text{divide both sides by 5}\\\\x=108[/tex]
1.) are positive fractions irrational numbers?
2.) are negative fractions irrational number?
thanks !
Answer:
1)no
2)no
Fractions are rational numbers
Step-by-step explanation:
irrational numbers are numbers which can't be written as ratios, fractions, or rational decimals
hope this helps!
Scientists discovered a large star 250,000 light-years from Earth. A light-year
is about 5,880,000,000,000 miles. What is the distance of the large star from
Earth in scientific notation?
Answer:
B. 1.47*10^18
Step-by-step explanation:
Given
Distance of largest start from earth in light years = 250000
1 light year = 5880000000000 miles
So,
Distance of largest star from earth in miles = 250000 * 5880000000000
= 1470000000000000000 miles
In order to convert in scientific notation, point will be moved 18 places to the left, so the number will become:
1.47* 10^18 miles
So option B is correct..
Answer: OPTION B
Step-by-step explanation:
Scientific notation has the form:
[tex]a10^n[/tex]
Where "a" is a number between 1 and 10 but is not less than 10 and "n" is an integer.
If a light-year is about 5,880,000,000,000 miles and the large star is 250,000 light-years from Earth, then this distance in miles is:
[tex]d=(250,000)(5,880,000,000,000)\\d=1,470,000,000,000,000,000.0\ mi[/tex]
To express this distance in scientific notation, the decimal point must be after the first digit. You can observe that the decimal point must be moved 18 places, then:
[tex]a=1.47[/tex] and [tex]n=18[/tex]
Therefore, you get that the distance of the large star from Earth in scientific notation is:
[tex]d=1.47*10^{18}\ mi[/tex]
Question 2 of 10
2 Points
What is the area of the polygon given below?
Answer:
First of all, let's find the area of the upper rectangle. We have side lengths 5 and 6, so its area is 30.
Now to find the bottom. If we add our ten, and the five on top, we get a length of 15. We multiply this by 6, giving us 90.
Now we add.
90+30=120
Therefore, our answer is A) 120 square units.
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Step-by-step explanation:
can help with this please
Answer:
m∠8 = 4x
Step-by-step explanation:
Angle 8 is the same angle measure of angle 1, which is m∠1 = 4x
9 with negative 3/2 exponent
Answer:
i believe it would be 1/27 or 0.037 depending on the form you need it in
Step-by-step explanation:
[tex] \bf \underline{Solution-} \\ [/tex]
[tex]\textsf{Given}\\[/tex]
[tex] \sf{ {9}^{ \frac{3}{2} } } \\ [/tex]
[tex] \longrightarrow{ \: ( {3}^{2} {)}^{ \frac{3}{2} } } \\ [/tex]
[tex] \longrightarrow{ \: {3}^ { \cancel2 \times \frac{3}{ \cancel2} } } \\ [/tex]
[tex] \longrightarrow{ {3}^{3} } \\ [/tex]
[tex] \longrightarrow{ \: 3 \times 3 \times 3} \\ [/tex]
[tex] \sf \longrightarrow{ \: 27 \: ans.} \\ [/tex]
[tex]\textsf{Hope this helps!!}\\[/tex]
I need the answer for this problem please
Answer:
B
Step-by-step explanation:
Find all probabilities:
A. False
[tex]Pr(\text{red shirt}|\text{large shirt})=\dfrac{\text{number red large shirts}}{\text{number large shirts}}=\dfrac{42}{77}=\dfrac{6}{11}\\ \\Pr(\text{large shirt})=\dfrac{\text{number large shirts}}{\text{number shirts}}=\dfrac{77}{165}=\dfrac{7}{15}[/tex]
B. True
[tex]Pr(\text{blue shirt}|\text{large shirt})=\dfrac{\text{number blue large shirts}}{\text{number large shirts}}=\dfrac{35}{77}=\dfrac{5}{11}\\ \\Pr(\text{blue shirt})=\dfrac{\text{number blue shirts}}{\text{number shirts}}=\dfrac{75}{165}=\dfrac{5}{11}[/tex]
C. False
[tex]Pr(\text{shirt is medium and blue})=\dfrac{\text{number medium and blue shirts}}{\text{number shirts}}=\dfrac{48}{165}=\dfrac{16}{55}\\ \\Pr(\text{medium shirt})=\dfrac{\text{number medium shirts}}{\text{number shirts}}=\dfrac{88}{165}=\dfrac{8}{15}[/tex]
D. False
[tex]Pr(\text{large shirt}|\text{red shirt})=\dfrac{\text{number red large shirts}}{\text{number red shirts}}=\dfrac{42}{90}=\dfrac{7}{15}\\ \\Pr(\text{red shirt})=\dfrac{\text{number red shirts}}{\text{number shirts}}=\dfrac{90}{165}=\dfrac{6}{11}[/tex]
Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?
f(x) = (x – 1)2 + 3
f(x) = (x – 1)2 + 5
f(x) = (x + 1)2 + 3
f(x) = (x + 1)2 + 5
Answer:
option A
f(x) = (x – 1)2 + 3
Step-by-step explanation:
Given in the question a function,
f(x) = 4 + x² – 2x
Step 1f(x) = 4 + x² – 2x
here a = 1
b = -2
c = 4
Step 2x = -b/2a
h = -(-2)/2(1)
h = 2/2
h = 1
Step 3
Find k
k = 4 + 1² – 2(1)
k = 3
Step 4
To convert a quadratic from y = ax² + bx + c form to vertex form,
y = a(x - h)²+ k
y = 1(x - 1)² + 3
y = (x - 1)² + 3
ANSWER
The vertex form is
[tex]f(x) = {(x - 1)}^{2} + 3[/tex]
EXPLANATION
The given function is
[tex]f(x) = 4 + {x}^{2} - 2x[/tex]
This is the same as:
[tex]f(x) = {x}^{2} - 2x + 4[/tex]
We add and subtract the square of half the coefficient of x.
[tex]f(x) = {x}^{2} - 2x + {( -1 )}^{2} - {( -1 )}^{2} + 4[/tex]
[tex]f(x) = {x}^{2} - 2x + 1 - 1 + 4[/tex]
The first three term is a perfect square trinomial:
[tex]f(x) = {(x - 1)}^{2} + 3[/tex]
The vertex form is
[tex]f(x) = {(x - 1)}^{2} + 3[/tex]
Plz help god blees if you do it all i will give u BRAINLIEST
IF YOU DO ONE THAT WILL NOT BE HELPING AND I WILL REPORT YOU!!!!!!!!!!
Answer:
the first one is 23
the second one is 70-79
the third one is 11
Step-by-step explanation:
this is because frequency refers to the amount of people who got the scores on the x-axis.
so for the first one you would count up how many people participated i.e. 2+9+7+5 = 23
the second one is asking for the mode test score and mode refers to the most common, so the most common test score is the 70-79 bar
the third one is asking for how many people scored below 80, which is 11 as 2 people scored 60-69 and 9 scored 70-79 on the test (2+9=11)
Hope this helps :)
the answer is 23
hope this helps
Find the value of x
Α. 7
B. 9
c. 11
D. 12
Answer:
Final answer is [tex]x=9[/tex].
Step-by-step explanation:
we know that if BD is angle bisector of angle B in triangle ABC then
[tex]\frac{AB}{BC}=\frac{AD}{DC}[/tex]
[tex]\frac{36}{28}=\frac{x}{DC}[/tex]
[tex]\frac{36}{28}=\frac{x}{16-x}[/tex]
[tex]\frac{9}{7}=\frac{x}{16-x}[/tex]
cross multiply
[tex]7x=9(16-x)[/tex]
[tex]7x=144-9x[/tex]
[tex]7x+9x=144[/tex]
[tex]16x=144[/tex]
[tex]x=\frac{144}{9}[/tex]
[tex]x=9[/tex]
Hence final answer is [tex]x=9[/tex].
Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?
y = 4x - 10. The linear functions y = 4x - 10 represent the line given by the point-slope equation y - 2 = 4(x - 3).
In order to solve this problem, we have to take the point-slope equation y - 2 = 4(x - 3) and convert it to the linear function form y = mx + b as follow:
y - 2 = 4(x - 3)
y - 2 = 4(x) - (4)(3)
y - 2 = 4x - 12
y - 2 + 2 = 4x -12 +2
y = 4x - 10 (Linear function)
Solve for R and S
Please explain
Answer:
r = 3 and s = 64Step-by-step explanation:
[tex]\left(\dfrac{4}{7}\right)^r=\dfrac{s}{343}\\\\\dfrac{4^r}{7^r}=\dfrac{s}{7^3}\to r=3\ and\ 4^r=s\\\\4^r=4^3=64\to s=64[/tex]
what is the quotient in polynomial form ?
Answer:
Any quotient of polynomials a(x)/b(x) can be written as q(x)+r(x)/b(x), where the degree of r(x) is less than the degree of b(x). For example, (x²-3x+5)/(x-1) can be written as x-2+3/(x-1). This latter form can be more useful for many problems that involve polynomials.
Step-by-step explanation:
The quotient in polynomial division refers to the result of dividing one polynomial by another. When a polynomial S is divided by a polynomial P, the result is a quotient Q of a degree less than P. The quotient Q represents a rational function when it is derived from the division of two polynomials.
In terms of algebra, let's consider a polynomial P of degree n, and we divide another polynomial S with a degree less than 2n by P. The result is a quotient Q and a remainder R, both of which are polynomials and Q has a degree less than n. If P(x) has a degree higher than Q(x), one can use the method of long division to find the quotient. This quotient, Q, alongside the remainder, R, conforms to the relation S(x) = P(x)\Q(x) + R, where Q and R are of lesser degrees than P.
When dealing with rational functions, we often find ourselves in positions of evaluating expressions formed by dividing polynomials. These functions are called rational functions, which are essentially the quotient of two polynomials. Applying the quotient rule can simplify differentiable polynomial functions and is useful when finding limits or derivatives in calculus.
M is directly proportional to r cubed when r = 4, m = 160. Find the value of r when m = 540
Answer:
r = 6
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportionality
To find k use the condition r = 4 when M = 160
k = [tex]\frac{M}{r^3}[/tex] = [tex]\frac{160}{64}[/tex] = 2.5, so
M = 2.5r³ ← equation of proportionality
When M = 540, then
540 = 2.5 r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
r = [tex]\sqrt[3]{216}[/tex] = 6
Evaluate the function f(x)=2x-5 and simplify !!! Math 3 10 points HELP NEEDED !!!
A. f(-3) = -11
If the function is f(x) = 2x - 5, then just replace x with -3 to find f(-3).
f(-3) = 2(-3) - 5
Multiply 2 times -3.
f(-3) = -6 - 5
Subtract -6 minus 5.
f(-3) = 11
There’s the answer.
Answer:
-11
Step-by-step explanation:
If you substitute x with -3 in the equation then you will get -11. Have a good night/day!
=)
Tomas ran a Lucky Dip stall.
LUCKY DIP
Tickets 50p
Tickets ending 00 win £12
Tickets ending 5 win £1.50
There were 750 tickets, numbered 1 to 750
Tomas sold all the winning tickets, and some of the losing tickets.
He made a profit of £163
How many losing tickets did he sell?
Answer:
637
Step-by-step explanation:
Ticket ending 00= £12 * 7 = £84
Tickets ending 5 = £1.5 * 75 = £112.5
£84+£112.5=£196.5
Price money + Profit: £196.5+£163= 356
356/£0.5 = 719 total tickets sold
719- 82 (WINNING TICKETS) = 637 losing tickets sold
Tomas made £232.5 from the winning tickets. Subtracting his profit of £163, we see he made £69.5 from the losing tickets. At a price of £0.5 per ticket, that means he sold 139 losing tickets.
Explanation:First, calculate the total amount Tomas made by selling all the winning tickets. There are ten tickets that end in '00' between 1 and 750, each valued at £12, i.e., £120. There are 75 tickets that end in '5' between 1 and 750, each valued at £1.50, i.e., total of £112.50. So, the total income from these tickets is £120 + £112.50 = £232.5.
Then, subtract Tomas's profit from the total income of the winning tickets to get the total revenue from the losing tickets. So, £232.5 - £163 = £69.5. Given each ticket costs 50p or £0.5, divide £69.5 by £0.5 to find the number of losing tickets sold. That is, £69.5/£0.5 = 139. Thus, Tomas sold 139 losing tickets.
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What is the radical form of the expression 4 2/3 ?
Answer:
∛4²
Step-by-step explanation:
A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.
To write an exponent in radical form , the denominator, or index goes in front of the radical, and the numerator goes inside of the radical. We raise the base to the power of the numerator
4 2/3
∛4².
The radical form of 4 2/3 is the cube root of 4 squared, denoted as √(4^2).
Explanation:The radical form of the expression 4 2/3 means expressing the number as a radical, which refers to roots of numbers. In this case, the number 2/3 is the exponent in fractional form. To convert this into a radical, the numerator indicates the power and the denominator indicates the root. Therefore, 42/3 can be expressed as the cube root of 4 squared. The cube root is denoted by the radical symbol √ with a small three above or to the left of the radical. Thus, 42/3 = √(42).
When class 11Y1 found that their favourite teacher, Mr Musson, was leaving they decided to organise a party for him. Lewis, one of the class members, wants to buy 38 cartons of juice. He can buy a single carton of juice for 45p. He can buy a pack of 4 cartons for £1.56 Lewis buys all the cartons he needs for the least possible amount of money. How much did he spend?
By buying 9 packs of 4 cartons and 2 single cartons, Lewis was able to spend the least amount of money to get the 38 cartons he needed. The total cost was £14.94.
Explanation:The subject of this question is mathematics, specifically cost optimization and arithmetic. Lewis can buy single carton of juice for 45p or a pack of 4 cartons for £1.56. The goal is to minimize the cost. First, Lewis can start by buying packs of 4. The number of 4-carton packs he can buy is 38 divided by 4 which gives you 9 packs that include 36 cartons. He then needs to buy 2 more single cartons to reach 38. So, the total cost is 9 packs times £1.56/pack plus 2 single cartons times 45p/carton. Doing the arithmetic:
Cost of Packs: 9 packs x £1.56/pack = £14.04Cost of Single Cartons: 2 cartons x 45p/carton = 90pConvert 90p to pounds that is £0.90. Adding both gives £14.94. Therefore, Lewis spent a total of £14.94 on juice cartons.
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Mary has 15 coins in her piggy bank. Two are half-dollars, 5 are quarters, 7 are dimes and 1 is a nickel. What is the probability that when she shakes the piggy bank a half-dollar and then a dime fall out?
Answer:
The probability is 1/15 or 6.67%
Step-by-step explanation:
step 1
Find the probability that when she shakes the piggy bank a half-dollar fall out
P=2/15
step 2
Find the probability that when she shakes the piggy bank a dime fall out
P=7/14
step 3
Find he probability that when she shakes the piggy bank a half-dollar and then a dime fall out
P=(2/15)(7/14)=1/15
Convert to percentage
(1/15)*100=6.67%
the first ferris wheel was built in 1893 in chicago. It’s diameter was 250 feet. How many feet did the ferris wheel rotate with one complete turn?
Answer:
about 785.4
Step-by-step explanation:
The circumference of a circle is pi times the diameter:
C = πd
C = π·(250 ft) ≈ 785.4 ft
_____
Most scientific or graphing calculators have the value of π built in. If yours doesn't, a value good for at least 6 significant figures is the ratio 355/113.
The ferris wheel rotates approximately 785 feet in one complete turn. This was calculated using the circumference formula, 2πr, with the radius derived from the given diameter of 250 feet.
Explanation:To solve this problem, we need to determine the circumference of the Ferris wheel as that would be equivalent to the distance the ferris wheel rotated in one complete turn. The formula to calculate the circumference of a circle (or ferris wheel in this case) is 2πr (2 times pi times the radius), where 'r' is the radius of the circle. However, since we're given the diameter of the Ferris wheel as 250 feet, we know that the radius 'r' would be half of the diameter. That would imply that the radius in this case is 250/2 = 125 feet. So, using the aforementioned formula, the circumference would therefore be 2 × π × 125, or approximately 785 feet. Therefore, with each complete turn, the Ferris wheel would rotate by about 785 feet.
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Find the domain and range !!! 10 points math 3
Answer:
The domain = (-∞ , -1/4) ∪ (-1/4 , ∞)
The range = (-∞ , 21/4)∪(21/4 , ∞)
The answer is not in the choices
Step-by-step explanation:
* Lets revise how to find the inverse function
- At first write the function as y = f(x)
- Then switch x and y
- Then solve for y
- The domain of f(x) will be the range of f^-1(x)
- The range of f(x) will be the domain of f^-1(x)
* Now lets solve the problem
- At first find the domain and the range of f(x)
∵ f(x) = (x - 9)/(21 - 4x)
- The domain is all real numbers except the value which
makes the denominator = 0
- To find this value put the denominator = 0
∴ 21 - 4x = 0 ⇒ subtract 21 from both sides
∴ -4x = -21 ⇒ ÷ -4 both sides
∴ x = 21/4
∴ The domain = R - {21/4} OR the domain = (-∞ , 21/4)∪(21/4 , ∞)
* Now lets find the range
- The range will be all the values of real numbers except -1/4
because the horizontal asymptote equation is y = -1/4
- To find the horizontal asymptote we find the equation y = a/b
where a is the coefficient of x up and b is the coefficient of x down
∵ The coefficient of x up is 1 and down is -4
∴ The equation y = 1/-4
∴ The value of y = -1/4 does not exist
∴ The range = R - {-1/4} OR the range = (-∞ , -1/4) ∪ (-1/4 , ∞)
* Switch the domain and the range for the f^-1(x)
∴ The domain = (-∞ , -1/4) ∪ (-1/4 , ∞)
∴ The range = (-∞ , 21/4)∪(21/4 , ∞)
18 more than a number is 29
This is the answer (I believe): 18 + x = 29
Answer:
11
Step-by-step explanation:
29-18 is 11
which of the following are solutions to the quadratic equation? Check all that apply 2x^2+14x-4=-x^2+3x
Answer:
[tex]x_1=-4\\\\x_2=\frac{1}{3}[/tex]
Step-by-step explanation:
Given the quadratic equation:
[tex]2x^2+14x-4=-x^2+3x[/tex]
You can follow these steps in order to solve it:
- Make the equation equal to 0:
[tex]2x^2+14x-4+x^2-3x=0[/tex]
- Now, add the like terms:
[tex]3x^2+11x-4=0[/tex]
- Finally, apply the Quadratic formula ([tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]):
In this case we know that:
[tex]a=3\\b=11\\c=-4[/tex]
Therefore, substituting values into the Quadratic formula and evaluating, we get:
[tex]x=\frac{-11\±\sqrt{11^2-4(3)(-4)} }{2(3)}\\\\x_1=-4\\\\x_2=\frac{1}{3}[/tex]
To find the solutions to the quadratic equation 2x^2+14x-4=-x^2+3x, we need to rearrange the equation and use the quadratic formula.
Explanation:The quadratic equation is 2x^2+14x-4=-x^2+3x. To find the solutions, we need to rearrange the equation in the form ax^2 + bx + c = 0. Combining like terms, we get 3x^2 + 11x - 4 = 0. Now we can use the quadratic formula to find the solutions:
x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values a = 3, b = 11, and c = -4 into the formula, we can calculate the solutions.
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Find the value of the expression.
a + b − 3
for a = 10 and b = 7
The value of the expression is 14.
Two cell phone companies have different rate plans. Runfast has monthly charges $8 plus $8 per gig of
data. B A &D’s monthly charge is $15 plus $4 per gig of data. Your task is to determine under what
circumstances each company has the better pricing. You will derive and solve a set of equations, graph
those equations, and evaluate the meanings for these events. Don’t worry; I have a series of questions
to guide you through the process. Good luck!
1. Determine the equation for the monthly charges for Runfast and BA&D. (2 points)
Runfast= ______________________
BA&D=________________________
2. Use your mathematical skill to solve this system of equations using the substitution method. (4
points)
Show your work here:
Answer:
Part 1) The equation for the monthly charges for Runfast is [tex]y=8x+8[/tex] and for BA&D is [tex]y=4x+15[/tex]
Part 2) The solution of the system of equations is the point (1.75.22)
Step-by-step explanation:
Let
x -----> the number of gig of data
y -----> the total monthly charges
we know that
Runfast Company
[tex]y=8x+8[/tex] -----> equation A
BA&D Company
[tex]y=4x+15[/tex] -----> equation B
Part 2) Use your mathematical skill to solve this system of equations using the substitution method
we have
[tex]y=8x+8[/tex] -----> equation A
[tex]y=4x+15[/tex] -----> equation B
Substitute equation B in equation A and solve for x
[tex]4x+15=8x+8[/tex]
[tex]8x-4x=15-8[/tex]
[tex]4x=7[/tex]
[tex]x=1.75\ Gb[/tex]
Find the value of y
[tex]y=8(1.75)+8=\$22[/tex]
so
The solution is the point (1.75.22)
That means
For the number of gig equal to 1.75 the monthly charge is equal to $22 in both company's
therefore
For a number of gigs less than 1.75 the company Runfast has the better pricing, while for a number of gigs greater than 1.75 the company BA&D has the better pricing
PLEASE HELP!
A map uses a scale where 1 inch = 3 miles. The actual distance between City A and City B is 231 miles. What is the distance between the cities on the map?
I got 693, but I am not sure I really understand the question.
Answer:
77 inches
Step-by-step explanation:
Given
1 inch = 3 miles in map
We are also given the actual distance between City A and City B = 231 miles.
In order to get the distance in inches = Distance between City A and City B in miles/ 3
We are dividing the distance by 3 to get the distance in inches.
So,
Distance on map = 231/3
= 77 inches
Answer: 77 inches.
Step-by-step explanation:
You know that this map uses this scale:
[tex]1in=3mi[/tex]
This means that 1 inch in the map represents 3 miles.
In this case, you know that the actual distance between City A and City B is 231 miles, then, to find the distance between the cities on the map, you can set up de following proportion:
[tex]\frac{1in}{3mi}=\frac{x}{231mi}[/tex]
Now, you need to solve for "x":
[tex](231mi)(\frac{1in}{3mi})=x\\\\x=77in[/tex]
Which of the following are ordered pairs for the equation y = 11x + 1?
(0,1) (1,12) (-1,-10)
(0,1) (1,-12) (-1,-10)
(0,-1) (1,12) (-1,-10)
(0,1) (1,12) (-1,10)
Answer:
The answer is B (0,1) (1,12) (-1,-10)Step-by-step explanation:
Just use the slope equation.
Find the tenth term in the sequence
that is defined as follows:
an = 4 + (-1)^n
Answer: 4 + (-1)^10 = 4+ 1 = 5
The tenth term of the sequence is 5.
Given to us,
Sequence, [tex]\bold{a_n=4+(-1)^n}[/tex]
For tenth term,
n = 10,
Subsituting the value of n we get,
[tex]{a_n=4+(-1)^n}\\a_{10}=4+(-1)^{10}\\a_{10} = 4 + 1\\a_{10} = 5[/tex]
Hence, the tenth term of the sequence is 5.
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