Answers
Given
AD = 6.4
BD = 3.6
Find
AC,BC and DC
Explanation
Using Pythogoras theorem in triangle ADC
[tex]AC^2=DC^2+6.4^2------(1)[/tex]Using PT in triangle BDC
[tex]BC^2=DC^2+3.6^2-------(2)[/tex]Adding equation (1) and (2)
[tex]\begin{gathered} AC^2+BC^2=DC^2+3.6^2+DC^2+6.4^2 \\ AC^2+BC^2=2DC^2+53.92 \end{gathered}[/tex]Using PT in triangle ABC
[tex]10^2=AC^2+BC^2[/tex]Equating above 2 equations
[tex]\begin{gathered} 100=2DC^2+53.92 \\ DC^2=23.04 \\ DC=4.8 \end{gathered}[/tex]Putting this value of DC in equation (2)
[tex]\begin{gathered} BC^2=4.8^2+3.6^2 \\ BC^2=23.04+12.96 \\ BC=6 \end{gathered}[/tex][tex]\begin{gathered} 10^2=AC^2+BC^2 \\ 100=AC^2+36 \\ AC=8 \end{gathered}[/tex]Final Answer
AC = 8
BC = 6
DC = 4.8
Related Questions
Let x(t) = t - sin(t) and y(t) = 1 - cos(t)
Answers
Explanation:
The functions are given below as
[tex]\begin{gathered} x(t)=t-sin(t) \\ y(t)=1-cos(t) \end{gathered}[/tex]Part 1:
To find the value of x(t), we will put t=2
[tex][/tex]What is the probability that the spinner lands on a prime number?
Answers
Answer:
Step-by-step explanation:
50
In how many different ways can a relation be represented?Give an example of each
Answers
It is to be noted that a relations in math can be represented in 8 different ways. See the examples below.
What are relations in Math?The relation in mathematics is the relationship between two or more sets of values.
The various types of relations and their examples are:
Empty Relation
An empty relation (or void relation) is one in which no set items are related to one another. For instance, if A = 1, 2, 3, one of the empty relations might be R = x, y, where |x - y| = 8. For an empty relationship,
R = φ ⊂ A × A
Universal Relation
A universal (or complete) relation is one in which every member of a set is connected to one another. Consider the set A = a, b, c. R = x, y will now be one of the universal relations, where |x - y| = 0. In terms of universality,
R = A × A
Identity Relation
Every element of a set is solely related to itself via an identity relation. In a set A = a, b, c, for example, the identity relation will be I = a, a, b, b, c, c. In terms of identity, I = {(a, a), a ∈ A}
Inverse Relation
When one set includes items that are inverse pairings of another set, there is an inverse connection. For example, if A = (a, b), (c, d), then the inverse relation is R-1 = (b, a), (d, c). As a result, given an inverse relationship,
R-1 = {(b, a): (a, b) ∈ R}
Reflexive Relation
Every element in a reflexive relationship maps to itself. Consider the set A = 1, 2, for example. R = (1, 1), (2, 2), (1, 2), (2, 1) is an example of a reflexive connection. The reflexive relationship is defined as- (a, a) ∈ R
Symmetric Relation
If a=b is true, then b=a is also true in a symmetric relationship. In other words, a relation R is symmetric if and only if (b, a) R holds when (a,b) R. R = (1, 2), (2, 1) for a set A = 1, 2 is an example of a symmetric relation. As a result, with a symmetric relationship, aRb ⇒ bRa, ∀ a, b ∈ A.
Transitive Relation
For transitive relation, if (x, y) ∈ R, (y, z) ∈ R, then (x, z) ∈ R. For a transitive relation, aRb and bRc ⇒ aRc ∀ a, b, c ∈ A
Equivalence Relation
If a relation is reflexive, symmetric and transitive at the same time, it is known as an equivalence relation.
Learn more about relations:
https://brainly.com/question/15149050
#SPJ1
It is found that a relations in math can be represented in 8 different ways.
What are relations?The relation in mathematics is defined as the relationship between two or more sets of values.
There various types of relations and their examples:
An empty relation (or void relation) is one in which no set items are related to one another. if A = 1, 2, 3, one of the empty relations might be R = x, y, where |x - y| = 8.
R = φ ⊂ A × A
Universal Relation; It is one in which every member of a set is connected to one another.
R = A × A
Identity Relation; Every element of a set is solely related to itself via an identity .
In a set A = a, b, c, for example, it is I = a, a, b, b, c, c. I
n terms of identity, I = {(a, a), a ∈ A}
Inverse Relation; When one set of data includes items that are inverse pairings of another set, there is an inverse connection.
For example, if A = (a, b), (c, d), then the inverse is; R-1 = (b, a), (d, c).
R-1 = {(b, a): (a, b) ∈ R}
Equivalence Relation; When a relation is reflexive, symmetric and transitive at the same time, it is calles as an equivalence relation.
Learn more about relations:
brainly.com/question/15149050
#SPJ1
HElP
pls pretty pls its due today
z
Answers
The equation of the line in slope intercept form is y = -2x - 70
How to find the equation of a line?The equation of a line can be represented in different form such as slope intercept form, point slope form and standard form.
The equation of the line can be written is slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using the coordinates (0, - 70)(-20, -30)
Let's find the slope,
m = slope = -30 + 70 / -20 - 0
m = 40 / - 20
m = - 2
Let's find the y-intercept using (0, -70)
-70 = -2(0) + b
b = - 70
Therefore, the equation of the line is y = -2x - 70
learn more on equation of a line here: https://brainly.com/question/12952118
#SPJ1
Find the value of the variableу846v=
Answers
We are to find an unknown side in a case of a triangle bisected via one of its angles.
We therefore use the bisecting angle theorem:
Which in the case of our image:
can be written as the following proportion:
8 / 4 = y / 6
in order to solve for "y", we multiply both sides by 6:
(8 * 6) / 4 = y
48 / 4 = y
then y = 12
Just the number 2 please a ball is tossed in the air in such a way that …..
Answers
Note that a quadratic function is increasing and decreasing at exactly half between the roots.
The roots are the point on the ground when tossing the ball into the air.
So we need to get the roots of the given equation.
Roots are the values of x when y = 0
[tex]\begin{gathered} y=-x^2+6x \\ 0=-x^2+6x \\ 0=-x(x-6) \\ -x=0\Rightarrow x=0 \\ (x-6)=0\Rightarrow x=6 \end{gathered}[/tex]So the roots are 0 and 6, this will be the x coordinate or the point on the ground.
Since the equation is increasing halfway and decreasing up to the ground, the halfway point is the midpoint between the roots.
Midpoint = (0 + 6)/2 = 3
Therefore, the ball's height is always decreasing at 3 < x < 6
The answer is 3 < x < 6
Ary is writing thank you cards to everyone who came to her wedding. It takes her of an hour to write one thank you card. If it took her 8 hours to finish writing all of the cards, how many thank you cards did she write?
Answers
From the question, It takes Ary an hour to write one thank you card.
So, the rate at which she writes the thank you card is;
[tex]\text{Rate R}=1\text{ card/hour}[/tex]To determine the number N of thank you card she would write in 8 hours.
[tex]N=R\times T[/tex]Where;
R is the rate = 1 card/hour
T is the time taken = 8 hours
Substituting the values we have;
[tex]\begin{gathered} N=1\text{ card/hour}\times8\text{ hours} \\ N=8\text{ cards} \end{gathered}[/tex]The number of thank you cards she write is 8 cards
A is in the shape of a quarter circle of radius 15 cm.
B is in the shape of a circle.
A
15 cm
The area of A is 9 times the area of B.
Work out the radius of B.
B
Answers
Answer:
[tex]\frac{5}{2}[/tex] or 2.5cm
Step-by-step explanation:
Hello! Let's help you with your question here!
Let's start by working out what we know and what we need. So, we know that P is a circle and Q is the shape of a quarter circle with a radius of 20cm. The area of Q is 9 times the area of P and we must find the radius of P.
To start, we're looking for area, so we should at least start looking at the area of a circle, given radius, which is:
[tex]A=\pi r^2[/tex]
Now, we don't necessarily know r (radius) and the area either. However, we can try to use the quarter circle as our guide for the full circle. So, we want to find the area of the quarter circle, we can do that by using this formula!
[tex]A=\frac{1}{4} \pi r^2[/tex]
The reason why we put a [tex]\frac{1}{4}[/tex] at the front of [tex]\pi r^{2}[/tex] is because we're only solving for a quarter of a circle instead of the entire circle.
Now that we have our formula! We can calculate the area of the quarter circle as follows:
[tex]A=\frac{1}{4}\pi 15^2[/tex]
[tex]A=\frac{\pi 15^2}{4}[/tex] -We combine the fraction [tex]\frac{1}{4}[/tex] into the rest of the equation.
[tex]A=\frac{225\pi }{4}[/tex] - Evaluating [tex]15^2[/tex]
Now that we have the area of the quarter circle, we can now work on the full circle. What we know is that the area of A is 9 times of B, since we're finding the radius of B, we can essentially plug in the area and solve for the radius of the full circle. That would be as such:
[tex]A=9\pi r^2[/tex] -We're using the area of circle A to find the radius of B.
[tex]\frac{225\pi }{4} =9\pi r^2[/tex] - Plugging in the area of the quarter circle.
[tex]\frac{225\pi }{4}/9\pi =\frac{9\pi r^2}{9\pi }[/tex] - We divide [tex]9\pi[/tex] to get rid of it on the right side.
[tex]\frac{25}{4} =r^2[/tex] - When dividing by [tex]\pi[/tex], the numerator [tex]\pi[/tex] gets cancelled out.
[tex]\sqrt{\frac{25}{4} }=r[/tex] -We square root to get rid of the squared.
[tex]\frac{5}{2}=r[/tex] - Square rooted both numerator and denominator.
And there we have it! We finally get a radius of [tex]\frac{5}{2}[/tex] or 2.5cm.
Answer the following.(a) An astronomer's infrared telescope is able to detect radiation with a wavelength of 1.96 x 10^-5 meters. Write this number in standardnotation(b) The diameter of Venus at its equator is approximately 12,100 kilometers. Write this number in scientific notation.(a) Imeters(b) kilometers
Answers
a)
We need to convert 1.96 x 10^-5 meters. into standard notation.
Now, on the scientific notation, the power of ten shows how many places the decimal point has been moved.
- If the exponent is positive then the decimal point has been moved to the left.
- If the exponent is negative, then the decimal point has been moved to the right.
In this case, the power is negative 5 . So, the decimal point has been moved 5 places to the right.
Hence:
1.96 x 10^-5 = 0.0000196
b)
a. Meters
First, we need to convert kilometers into meters using the rule of three:
If 1k = 1000 meters
Then 12,100k = x
Where x = (12,100k*1000m)/ 1k
x =12000000 meters
We need to convert from standard notation to scientific notation:
12000000.0 = 1.2x10^7 meters
The decimal point has been moved 7 places to the left, so the power of then is positive 7.
b) We need to convert 12,100 kilometers into scientific notation:
12,100 = 12,100.0
Converting into scientific notation
1.21x10^4 kilometers
The decimal point has been moved 4 places to the left. Hence, the power of the is positive 4.
if the growth factor is 1.2, what is the growth rate
Answers
SOLUTION
Step 1 :
In this question, we are meant to know the relationship between Growth factor and Growth Rate.
Growth factor is the factor by which a quantity multiplies itself over time.
Growth rate is the addend by which a quantity increases ( or decreases ) over time.
Step 2 :
From the question, if the growth factor is 1.2 which is also 120 %,
then the growth rate will be ( 120 - 100 ) % = 20 % = 0. 2
CONCLUSION:
The Growth Rate = 0. 2
In mid-2019, Coca-Cola Company had a share price of $39. Its dividend was $1.00 per year, and you expect Coca-Cola to raise this dividend by approximately 7% per year in perpetuity. If Coca-Cola’s equity cost of capital is 8%, what share price would you expect based on your estimate of the dividend growth rate?
Answers
The share price I would expect based on the estimate of the dividend growth rate is $10.70.
What is the share price?In order to determine the share price, the constant growth dividend model would be used. According to the model, the share price is a function of the cost of equity, dividend paid and growth rate.
Share price = next dividend / (cost of equity - growth rate)
Next dividend = current dividend x (1 + growth rate)
$1 x (1 + 0.07)
$1 x 1.07 = $1.07
Share price = $1,07 / (0.08 - 0.07)
$1.07 / 0.01 = $10.70
To learn more about share price, please check: https://brainly.com/question/14987553
#SPJ1
Write the equation of the line with x-intercept -2 and y-intercept -1 in slope-intercept form
Answers
The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.
Now that we have two points, we can solve for slope m
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\ \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}[/tex]Now that we have both m and b. Substitute these values to the slope intercept form
[tex]\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\ \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}[/tex]Solve the system of equations using the elimination method. Note that the method of elimination may be referred to as the addition method. (If there is no solution, enter NO SOLUTION.)0.2x + 0.7y = 2.20.9x − 0.2y = 3.2(x, y) =
Answers
To solve the system of equations
[tex]\begin{gathered} 0.2x+0.7y=2.2 \\ 0.9x-0.2y=3.2 \end{gathered}[/tex]we need to make the coefficients of one of the variables opposite, that is, they need to have the same value with different sign; let's do this with the y variable, so let's multiply the second equation by 0.7 and the first equation by 0.2; then we have:
[tex]\begin{gathered} 0.04x+0.14y=0.44 \\ 0.63x-0.14y=2.24 \end{gathered}[/tex]Now we add the equations and solve the resulting equation for x:
[tex]\begin{gathered} 0.04x+0.14y+0.63x-0.14y=0.44+2.24 \\ 1.64x=2.68 \\ x=\frac{2.68}{0.67} \\ x=4 \end{gathered}[/tex]Now that we have the value of x we plug it in one of the original equations and solve for y:
[tex]\begin{gathered} 0.2(4)+0.7y=2.2 \\ 0.8+0.7y=2.2 \\ 0.7y=2.2-0.8 \\ 0.7y=1.4 \\ y=\frac{1.4}{0.7} \\ y=2 \end{gathered}[/tex]Therefore, the solution of the system of equation is (4,2)
the top ten medal winning nations in a in a particular year are shown in the table. use the given information and calculate the median number of bronze medals for all nations round to the nearest tenth as needed
Answers
We have the following:
We know that to calculate the average we must add the corresponding values of bronze medals of each nation and then divide by the number of nations like this
[tex]\begin{gathered} m=\frac{11+7+9+5+5+3+8+4+6+0}{10} \\ m=\frac{58}{10} \\ m=5.8 \end{gathered}[/tex]the median number of bronze medals for all nations is 5.8
Michael studied the feather lengths of some adult fox sparrows.How long is the shortest feather in the data set?
Answers
From the data set given, 3/4 is the length of the shortest feather of fox sparrow.
Given,
The image is attached with this.
The length of fox sparrow feathers studied by Michael.
1 sparrow with 3/4 inches of feather4 sparrows with 2 inches of feather7 sparrows with 2 1/4 inches of feather5 sparrows with 2 1/2 inches of feather3 sparrows with 2 3/4 inches of feather.We have to find the shortest feather in the data set.
Here,
3/4 inches is the shortest feather and only 1 sparrow has the shortest feather.
2 3/4 inches is the longest feather and 3 sparrows have the longest feather.
That is,
From the data set given, 3/4 is the length of the shortest feather of fox sparrow.
Learn more about length of feather here;
https://brainly.com/question/23986067
#SPJ1
у = -3х5х + y = 14i need help finding the matrix of this
Answers
3x + y = 0
5x + y = 14
[tex]\Delta\text{ = }\begin{bmatrix}{3} & 1{} & \\ {5} & 1{} & {} \\ {} & {} & {}\end{bmatrix}\text{ = (3 x 1) - (5 x 1) = 3 - 5 = -2}[/tex][tex]undefined[/tex]
There is a 50% chance of rain here and a 10% chance of rain on Mars. Therefore, there is a 45% chance that it will rain in neither place.
Answers
The given statement is true.
This is a question of probability.
It is given in the question that:-
Chance of raining here = 50 %
Chance of raining on Mars = 10 %
The given statement is :-
There is a 45 % chance that it will rain in neither place.
Chance of not raining here = 100 - 50 % = 50 % = 1/2
Chance of not raining on Mars = 100 - 10% = 90 % = 9/10
Hence, chance of raining in neither place = (1/2)*(9/10) = 9/20
9/20 = (9/20)*100 = 45 %.
Hence, the given statement "There is a 45% chance that it will rain in neither place" is true.
To learn more about probability, here:-
https://brainly.com/question/11234923
#SPJ1
Joe earned 2,100$. He spent 1/5 on rent and 1/4 on food. How much money did he have left?
Answers
The amount of money that Joe has left is $1155
How to calculate the amount of money left ?
Joe earned $2100
He spent 1/5 of the money on rent
1/5 × 2100
= 420
$420 was spent on rent
He spent 1/4 of the money on food
= 1/4 × 2100
= 525
$525 was spent on food
The amount of money left can be calculated as follows
Total amount spent = 525 + 420
= 945
Amount left= 2100 - 945
= 1155
Hence Joe has $1155 left
Read more on amount here
https://brainly.com/question/13576984
#SPJ1
Finding supplementary and complementary angles (a) An angle measures 50°. What is the measure of its complement? (b) An angle measures 135°. What is the measure of its supplement? measure of the complement: measure of the supplement: 0 0 O X ?
Answers
SOLUTION
(a) Complementary angles are angles that add up to 90 degrees. So the angle that will complement 50 degrees will add to it to get 90. Let the angle be x, we have
[tex]\begin{gathered} 50\degree+x\degree=90\degree \\ 50+x=90 \\ x=90-50 \\ x=40\degree \end{gathered}[/tex]Hence the measure of the compelement is 40 degrees
(b) Supplementary angles are angles that add up to 180 degrees. So the angle that will supplement 135 degree will add to it to make it 180 degrees. Let this angle be y, so we have
[tex]\begin{gathered} 135\degree+y\degree=180\degree \\ y=180-135 \\ y=45\degree \end{gathered}[/tex]Hence measure of the supplement is 45 degrees
Check picture pls this is geometry work
Answers
Answer:
45
scalene
acute
Step-by-step explanation:
Answer: The triangle classified by the sides is 59 degrees. The triangle is classified by the angel is 1
Step-by-step explanation:
Find the volume of the figure. Round to the nearest hundredths place if necessary.
Answers
The volume of a Pyramid
Given a pyramid of base area A and height H, the volume is calculated as:
[tex]V=\frac{A\cdot H}{3}[/tex]The base of this pyramid is a right triangle, with a hypotenuse of c=19.3 mm and one leg of a=16.8 mm. The other leg can be calculated by using the Pythagora's Theorem:
[tex]c^2=a^2+b^2[/tex]Solving for b:
[tex]b^{}=\sqrt[]{c^2-a^2}=\sqrt[]{19.3^2-16.8^2}=9.5\operatorname{mm}[/tex]The area of the base is the semi-product of the legs:
[tex]A=\frac{16.8\cdot9.5}{2}=79.8\operatorname{mm}^2[/tex]Now the volume of the pyramid:
[tex]V=\frac{79.8\operatorname{mm}\cdot12\operatorname{mm}}{3}=319.2\operatorname{mm}^3[/tex]The volume of the figure is 319.2 cubic millimeters
What is the area of a triangle that has a height of 10 feet and a base of 6 feet?A. 16 feet squaredO B. 30 feet squaredO C.35 feet squaredD. 60 feet squared
Answers
Th formula for the area of the triangle is as follows.
[tex]A=\frac{bh}{2}[/tex]where b is the base of the triangle and h is its height.
Substitute the given values into the formula and then simplify.
[tex]\begin{gathered} A=\frac{(6)(10)}{2} \\ =\frac{60}{2} \\ =30 \end{gathered}[/tex]Therefore, the area of the triangle is 30 square feet, which is option B.
Help solving rational equations by cancelling denominator
Answers
Solve this equation 3n+8=20
Answers
Given the equation below
[tex]3n\text{ + 8 = 20}[/tex]Step 1
Collect like terms.
[tex]\begin{gathered} 3n=20-8 \\ 3n=12 \end{gathered}[/tex]Step 2
Divide both sides of the equation obtained, by the coefficient of the unknown.
[tex]\begin{gathered} \text{The unknown is n.} \\ \text{The co}efficient\text{ of n is 3.} \\ \text{Thus,} \\ \frac{3n}{3}=\frac{12}{3} \\ \Rightarrow n=4 \end{gathered}[/tex]Hence, the value of n in the equation is 4
See photo for problem
Answers
a. the amount of liquid in the tank: 5580 liters
b. The amount of liquid should be added to fill the tank 100% capacity : 450 liters
We have been given a right circular conical tank.
h = 4 m and r = 1.20 m
We know that the formula for the volume of cone is,
V = πr²h/3
The volume of the tank would be,
V = (π × r² × h)/3
V = (π × 1.20² × 4)/3
V = 18.09/3
V = 6.03 m³
Let h1 be the height of liquid level in the tank and V1 be the volume of the liquid in the tank.
h1 = 3.70 m
V1 = (π × r² × h1)/3
V1 = (π × 1.20² × 3.70)/3
V1 = 16.74 / 3
V1 = 5.58 m³
V1 = 5580 liters
The amount of liquid need to added to fill the tank 100% of capacity.
V2 = V - V1
V2 = 6.03 m³ - 5.58 m³
V2 = 0.45 m³
V2 = 450 liters
Therefore, a. the amount of liquid in the tank: 5580 liters
b. The amount of liquid should be added to fill the tank 100% capacity : 450 liters
Learn more about the volume of cone here:
https://brainly.com/question/1984638
#SPJ1
The domain of a function is all whole numbers between 2.5 and 7.5. Can you represent the domain using set-builder notation in more that one way? Explain
Answers
The set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.
In the Set Builder form , a statement or expression is used to represent all the elements of the set .
In the question ;
it is given that
the domain of the function is all whole numbers between 2.5 and 7.5 .
the set of whole numbers is represented by W.
Since the numbers between 2.5 and 7.5 are included , so "<" will be used .
The Set Builder notation is Domain = {x: x∈W , 2.5<x<7.5 } .
Therefore , the set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.
Learn more about Set Builder Notation here
https://brainly.com/question/10294211
#SPJ1
Express the sum of the angles of this triangle in two different waysX3/2X1/2X
Answers
1) Since the sum of these angles is written in terms of x, we can write it out:
[tex]\begin{gathered} x+\frac{3}{2}x+\frac{1}{2}x\text{ } \\ \frac{2x+3x+x}{2} \\ \frac{6x}{2} \\ 3x \end{gathered}[/tex]Notice that to sum these fractions we had to take the LCM(2, 1) = 2 and rewrite it as a sum.
2) Another way of writing the sum of these angles is writing it as a sum of decimal numbers since we can rewrite fractions as decimal numbers.
3/2 = 3÷2 = 1.5
1/2 = 1÷2 =0.5
1
[tex]\begin{gathered} x+1.5x+0.5x \\ x+2x \\ 3x \end{gathered}[/tex]What is (are) the solution(s) to the system of equations y = -x + 4 and y = -x^2 + 4 ?
Answers
Given:
[tex]\begin{gathered} y=-x+4----(1) \\ y=-x^2+4----(2) \end{gathered}[/tex]Required:
To find the solutions to the given equations.
Explanation:
Put equation 1 in 2, we get
[tex]\begin{gathered} -x+4=-x^2+4 \\ \\ -x+4+x^2-4=0 \\ \\ x^2-x=0 \\ \\ x(x-1)=0 \\ \\ x=0,1 \end{gathered}[/tex]When x=0,
[tex]\begin{gathered} y=-0+4 \\ y=4 \end{gathered}[/tex]When x=1,
[tex]\begin{gathered} y=-1+4 \\ =3 \end{gathered}[/tex]Final Answer:
The solution are
[tex]x=0,1[/tex]The solution sets are
[tex]\begin{gathered} (0,4)\text{ and} \\ (1,3) \end{gathered}[/tex]Which choices are equivalent to the quotient below check all that apply. square root of 16 over square root of 8
Answers
To solve the quotient below;
[tex]\frac{\sqrt[]{16}}{\sqrt[]{4}}[/tex]We simply both the numerator and the denominator as follows;
[tex]undefined[/tex]have $100 to spend on Halloween candy. A pack of M&Ms cost $3.50. 15 Twix bars cost $7.00. 9 Hershey Bars cost $3.00. If I need 15 M&M packs, 17 Twix bars and 9 Hershey bars how much will it cost? How much money will I have left?
Answers
Answer:
Assuming this is rounding to the nearest cent, $36.51
Step-by-step explanation:
1 ) Find the cost of each individual candy.
M&Ms are given at $3.50 per pack.
To find the cost of one Twix bar, divide $7.00 by 15. This makes Twix equal $0.47 per bar.
You don't need to find the individual price of the Hershey's bars because 9 bars cost $3.00 and you need 9 bars in the equation.
2 ) Now that you have the prices you need, multiply.
For M&Ms 15 x $3.50 = $52.50
For Twix 17 x $0.47 = $7.99
For Hershey's, it is given that 9 bars are $3.00
3 ) Add all of these up to get the total spent on candy.
$52.50 + $7.99 + $3.00 = $63.49
4 ) Subtract this from the budget to get the total amount left over.
$100 - $63.49 = $36.51
