Answer:
C. 4
Step-by-step explanation:
To solve, set each parenthesis equal to the opposite side (0 in this case).
(x - 4)(x - 4) = 0
x - 4 = 0
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:
x - 4 (+4) = 0 (+4)
x = 0 + 4
x = 4
Do the same for the other parenthesis:
x - 4 = 0
x - 4 (+4) = 0 (+4)
x = 0 + 4
x = 4
C. 4 is your answer.
~
Answer:
Hey there!
(x-4)(x-4)=0
(x-4)^2=0
x-4=0
x=4
The correct answer would be C.
Let me know if this helps :)
8. Is it possible for a piece of cork to have a greater density than a piece of rock? Describe why or
why not.
Answer:
No
Step-by-step explanation:
The rock has more mass and will therefore always have greater density than a piece of cork. This is also due to the atomic structure of the elements, molecules, and compounds that make it up.
The shaded area below represents the pieces of tile installed in the hallway what percent of the hallway has not been installed tile
Answer:
35%
Step-by-step explanation:
There are 20 sqaures, 7 of them are not shaded, 7/20=35%
To find the distance between (17,3) and (17,−5), Marcia used the following equation. Is Marcia correct? Explain. D=|3−(−5)|=8
Answer:
Step-by-step explanation:
The formula for finding the distance between two points is expressed as shown
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;
D = √(17-17)²+(-5-3)²
D = √0²+(-8)²
D = √64
D = 8
According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.
Simplify 10 3 × 10 3 leaving your answer in index form.
Answer:
10^3×10^3
is 100000000 which is 10^7 in index form.
Represent 3kg 9gm using decimals
Answer:
3.009
Step-by-step explanation:
1 Kg is 1000 grams therefore
3 kg 9 g is
3.009
hope this helps you
-5x + 32 = 47
What is the answer to the equation
Answer:
x = -3
Step-by-step explanation:
-5x + 32 = 47
-5x + 32 - 32 = 47 - 32
-5x = 15
-5x / -5 = 15 / -5
x = -3
Answer:
[tex]\Huge \boxed{x=-3}[/tex]
Step-by-step explanation:
[tex]\sf -5x + 32 = 47[/tex]
Subtract 32 from both sides.
[tex]\sf -5x + 32-32 = 47-32[/tex]
[tex]\sf -5x=15[/tex]
Divide both sides by -5.
[tex]\sf \displaystyle \frac{-5x}{-5} =\frac{15}{-5}[/tex]
[tex]\sf x=-3[/tex]
Select the correct answer from each drop-down menu. The product of sin 30° and sin 60° is same as the product of and .
The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees .
The product of sin 30° and sin 60° is same as the product of cos 60° and cos 30°.
Sine and cosine of complementary anglesFrom the complementary angle theorem, we have that
sinθ = cos (90° - θ)
and
cosθ = sin (90° - θ)
By applying the theorem,
sin 30° = cos (90° - 30°)
∴ sin 30° = cos 60°
Also,
sin 60° = cos (90° - 60°)
∴ sin 60° = cos 30°
Thus, sin 30° = cos 60° and sin 60° = cos 30°
Hence, the product of sin 30° and sin 60° is same as the product of cos 60° and cos 30°.
Learn more on Sine and cosine of complementary angles here: https://brainly.com/question/16127404
A bakery sold a total of 500 cupcakes in a day, and 200 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored?
Answer:
20%
Step-by-step explanation:
200 mocha flavored cupcakes of the 500 cupcakes were sold. (200/500).
Reduce to 2/5. Then multiply 20/20 to 2/5 and get 20/100.
20% cupcakes were mocha flavored.
The logic behind me rewriting the fraction to 20/100 was because 200/500 could easily be divided be 100 and 5.
Answer:40%
Step-by-step explanation: 200/500=?/100
2/5 x 20/20= 40/100
40%
Factor (x^2+y^2-z^2)^2-4x^2y^2 as the product of four polynomials of degree 1, each of which has a positive coefficient of x.
Is the ratio 5:6 equivalent to 3:4
We can write the given expression as -
(x² + y²)(x² + y²- 2z²) + z² - 4x²y²
What is factorization?Factors of a number are numbers that divide evenly into another number. Factorization writes a number as the product of smaller numbers
Given is the expression -
{(x² + y²) - z²}² - 4x²y²
(x² + y²)² + z² - 2(x² + y²)z² - 4x²y²
(x² + y²) {(x² + y²) - 2z²} + z² - 4x²y²
(x² + y²)(x² + y²- 2z²) + z² - 4x²y²
Therefore, we can write the given expression as -
(x² + y²)(x² + y²- 2z²) + z² - 4x²y²
To solve more questions on factorization, visit the link below -
https://brainly.com/question/14067703
#SPJ2
Your school is 4 miles east and 1 mine south of your apartment there is a park 3 miles east and 4 miles south of your apartment estimate the distance between the park and your school
The estimated distance between the park and your school is 5 miles.
Here,
To estimate the distance between the park and your school, we can use the Pythagorean theorem, as the distance forms a right-angled triangle with the school, apartment, and park as its vertices.
Let's label the points as follows:
S = School
A = Apartment
P = Park
Given:
School (S) is 4 miles east and 1 mile south of the apartment (A).
Park (P) is 3 miles east and 4 miles south of the apartment (A).
Now, we have two right-angled triangles:
The triangle formed by S, A, and P. This is the triangle for which we want to estimate the distance between the school and the park.
The triangle formed by A, S, and P.
Since both triangles share the side AS (4 miles east), we can use the Pythagorean theorem for the triangle ASP to find the distance between the school and the park.
The Pythagorean theorem states that for a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, let's represent the distance between the school and the park as d (the hypotenuse), and the other two sides as 3 miles (east) and 4 miles (south).
Using the Pythagorean theorem:
[tex]d^2 = 3^2 + 4^2\\d^2 = 9 + 16\\d^2 = 25\\[/tex]
Now, take the square root of both sides to find d:
d = √25
d = 5
So, the estimated distance between the park and your school is 5 miles.
To learn more on Pythagorean theorem click:
brainly.com/question/24302120
#SPJ4
The diagram represents three statements about animals at the zoo: p, q, and r. For how many animals is (p ∨ q) ∧ r true? 15 17 20 22
Answer:
It is 15
Step-by-step explanation:
A. on edge
Total number of animals for which (p ∪ q) ∩ r is true is 15.
What is meant by union of sets?
The set that contains all the elements present in both sets is the union of the two supplied sets.
Here,
It is given that,
Set p is {2, 5, 8, 9}
Set q is {2, 4, 7, 5}
Set r is {2, 4, 6, 9}
The union of p and q, which includes all creatures that are in p, in q, or in both p and q, is known as p ∪ q.
p ∪ q = {2, 4, 5, 7, 8, 9}
The creatures that must be present in both (p and q) and r are contained in (p ∪ q) ∩ r.
So, (p ∪ q) ∩ r = {2, 4, 9}
Therefore,
2 + 4 + 9 = 15
Hence,
Total number of animals for which (p ∪ q) ∩ r is true is 15.
To learn more about union of sets, click:
https://brainly.com/question/29055360
#SPJ7
Attaching the image file here.
Solve the following equation for the value of d.
4(-2d – 3) = 12
Type your answer...
1 point
Solve the following equations for the value of n.
60 = 6 (6 – 2n)
Type your answer...
1 point
Solve the following equations for the value of 2.
-2 (x + 10) + x = 12
Answer:
the full solution is in the picture
d= -3
n= -2
x= -32
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y)
midpoint (2.2), endpoint (1. - 2)
The other endpoint is
Answer:
(3,6)Step-by-step explanation:
Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:
M(X,Y) = [tex](\dfrac{x_1+w}{2}, \dfrac{y_1+y}{2})[/tex]
From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2
Substituting the given end points into the given formula to get the other end points, we will have;
[tex]X = \dfrac{x_1+w}{2} \\2 = \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3[/tex]
Similarly;
[tex]Y = \dfrac{y_1+y}{2} \\2 = \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6[/tex]
Hence the other endpoint (w, y) is (3,6)
Evaluate: 50 + 6(12 + 4) – 82.
Answer:
14
Step-by-step explanation:
Follow DMAS formula:
DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction.
=50+6*3 -82
=50+18-82
=68-82
=14
Answer:
64
Step-by-step explanation:
PEMDAS
6(12+4) distribute the 6 to the numbers inside
96
50+96-82
50+96= 146
146-82 = 64
jndxihdhwquihxois2njknz'oqwjskzlnzljx
Answer:
Yjtccjtchtcychy
Step-by-step explanation:
Can someone help? I don’t really understand what reflect over line y=x means :)
Answer: (-3,7)
Step-by-step explanation:
Flip the signs
The area of an 13-cm-wide rectangle is 286 cm^2. What is its length?
20 points and brainliest to whoever has the correct answer in the next 2 hours
Answer:
L = 22 cm
Step-by-step explanation:
Area of a triangle = L x W
where W = 13 cm
Area = 286 cm²
A = L x W
286 = L x 13
L = 286 / 13
L = 22 cm
proof:
286 = 22 x 13
286 = 286 --- ok
Ashlynn, Troy, and Edwin had a challenge to see who could run the farthest in a month. Ashlynn ran 19
miles. Troy ran 3 times as many miles as Edwin, and Edwin ran 4 times as many miles as Ashlynn. How
many miles did Troy run?
Answer:
Troy ran 228 miles.
Step-by-step explanation:
Ashlynn (a) ran 19 miles. Troy (t) ran 3 times as many miles as Edwin, and Edwin (e) ran 4 times as many miles as Ashlynn.
So,
a=19
E=a•4
t=e•3
Knowing a=19, we can solve the first equation. e=19•4, 19•4=76 so e=76
Knowing e=76 we can solve the second equation t=76•3, 76•3=228 so t=228
Answer:
Ashlynn is my name!
Step-by-step explanation:
Slove the question please
Answer:
24m
Step-by-step explanation:
factor the equation to get 6x4m which gets you 24m
Answer: option 3. 24m
Step-by-step explanation:
concept to know: (a+b)²=a²+2ab+b²
(a-b)²=a²-2ab+b²
(2m+3)²-(2m-3)²
=(4m²+12m+9)-(4m²-12m+9) ⇔ Use the formula mentioned above
=4m²+12m+9-4m²+12m-9 ⇔ take off parentheses
=4m²-4m²+12m+12m+9-9 ⇔ move the like term together
=24m ⇔ combine like term
Hope this helps!! :)
Please let me know if you have any question
A square has an area of 150 square centimeters. Which of the
following measures is closest to the length of one of its sides?
11.8 cm
B
12.2 cm
C 12.7 cm
D
13.5 cm
Answer:
C) 12.2 cm
Step-by-step explanation:
To find the area of a square, you multiply length and width, which for a square, are the same. So to find the length of one of its sides, you have to take the square root of the area.
[tex]L^{2} = 150\\\\L=\sqrt{150} \\L= 12.2\\[/tex]
Rodney rented a machine for $70.00 to make popcorn at a school event. In addition to the machine rental cost, the popcorn supplies cost him $0.15 per bag sold. Rodney sold popcorn for $1.00 per bag how much profit did rodney make if he sold 200 bags of popcorn
Answer:
170
Step-by-step explanation:
The amount of profit Rodney made when he sold 200 bags of popcorn is given by A = $ 100
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the equation is
Let the amount for renting the machine be = $ 70
The amount per bag for packing popcorn = $ 0.15 per bag
The sale price of the popcorn per bag = $ 1.00
And ,
The total number of bags sold by Rodney = 200 bags
So , the total profit made by Rodney A is calculated from the equation ,
Total amount made by Rodney = total number of bags sold by Rodney x sale price of the popcorn per bag
Substituting the values in the equation , we get
Total amount made by Rodney = 200 x 1
Total amount made by Rodney = $ 200
Now , the cost per bag is deducted from the total amount made by Rodney
So ,
Total amount made by Rodney after deduction of bag cost = ( Total amount made by Rodney - amount per bag for packing popcorn x 200 )
Substituting the values in the equation , we get
Total amount made by Rodney after deduction of bag cost =
= 200 - ( 0.15 x 200 )
= 200 - 30
= $ 170
Now , the cost of renting the machine should also be deducted from the remaining amount to calculate the profit earned by Rodney
So , The profit earned by Rodney A = 170 - amount for renting the machine
The profit earned by Rodney A = $ 170 - $ 70
The profit earned by Rodney A = $ 100
Therefore , the value of A is $ 100
Hence , The amount of profit Rodney made when he sold 200 bags of popcorn is given by A = $ 100
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
1. FIND THE EQUATION OF THE LINE THAT PASSES THROUGH THE GIVEN POINT (1,2) AND (-1,5)
2. WHAT IS THE EQUATION OF A LINE THAT PASSES THROUGH POINTS (-0.72, 1.42) and (4.22, 5.83)
Please help :(
Answer:
slope: (y₂ - y₁) / (x₂ - x₁)
(5 - 2) / (-1 - 1) = 3/-2 = -3/2
y = -3/2x + b
5 = -3/2(-1) + b
5 = 3/2 + b
b = 3.5
y = -3/2x - 7/2
(5.83 - 1.42) / (4.22 + 0.72) = 4.41/4.94
y = 4.41/4.94x + b
5.83 = (4.41/4.94)(4.22) + b
5.83 = 3.76724696 + b
b = 2.06275304
y = 4.41/4.94x + 2.06
(the numbers are really wacky so i hope thats right, so sorry if it isn't)
Mohammed and luigi were printing calendars. Mohammed used 3 1/2 ink cartridges while Luigi used 1 3/4 ink cartridges. How many more ink cartridges did Mohammed use than Luigi
Step-by-step explanation:
Mohammed used 3 1/2 ink cartridges = [tex]\dfrac{7}{2}[/tex]
Luigi used 1 3/4 ink cartridges = [tex]\dfrac{7}{3}[/tex]
It means that Mohammed used more ink cartridges than Luigi. The more amount is calculated as follows :
[tex]\dfrac{7}{2}-\dfrac{7}{3}=\dfrac{7\times3-7\times 2}{6}\\\\=\dfrac{21-14}{6}\\\\=\dfrac{7}{6}[/tex]
So, [tex]\dfrac{7}{6}[/tex] more ink cartridges Mohammed used than Luigi.
Answer: Switch steps 2 and 3.
explanation: Have a good day stay safe
3e - 19-7e + 10 simplified?
Answer:
Answer:-4e-9
[tex]3e - 19 - 7e + 10[/tex]
Start by combining like terms. I put like terms in parentheses so you can see them, but they are not needed.
[tex] = (3e - 7e) + ( - 19 + 10)[/tex]
[tex] = - 4e - 9[/tex]
That's it.
Which of the following statements are true about this graph? Check all that apply. The three points do not form a straight line. The three points form a straight line. The graph passes through the origin. The graph does not pass through the origin. The graph shows a proportional relationship. The graph does not a show a proportional relationship.
Answer:
B,D,F
Step-by-step explanation:
I got it correct on edge
Write an inequality for Five dollars less than two times Chris' pay is at most
$124
Answer: 2x -5 less than or equal to 124
by selling a camera for $2400, ron loses 4%.At what price should he sell it to gain 12%.
Answer: $ 2800
Step-by-step explanation:
2400 is 96% of the initial price of camera which is 2400/0.96 =$2500
Now to gain 12% profit the camera should be sold at 2500+ .12*2500=$2800
Solve the following three equations.
Equation #1 60 = 6(6 – 2n)
Equation #2 5x + 7 + 3x = -8 + 3x
Equation #3 3(1 + 4v) – 2(5v- 3) = 25
and add explanation please.
Answer:
#1 : -2=n
#2: x=-3
#3: v=8
Step-by-step explanation:
the pictures are the explination
i hope they help
sorry if they dont
im a bad explainer
A floor 5 m by 20 m is covered by square tiles of side 20 cm. How many tiles are needed
Answer:
number of tiles needed = 2500 pieces
Step-by-step explanation:
Floor area = 5m x 20m = 100 m²
area of 1 square tile = 20cm x 20cm = 400 cm² ---- convert to m²
400 cm² x [tex]\frac{1 m^{2} }{100^2 cm^2}[/tex] = 0.04 m²
To get the number of tiles required to cover the floor area 5x20 = 100 m²
just divide it by the area of tile.
so Number of tile req'd = 100 / 0.04 = 2500
therefore,
the number of tiles needed = 2500 pieces
A random sample of 1,500 couples was asked the question, "How many children presently reside in your household?" Number of Children Frequency 0 325 1 212 2 660 3 151 4 68 5 or more 84 What number of children occurred the least frequently? Calculate this percent. (2 points) a 0, 21.67% b 0, 11.75% c 5 or more, 5.6% d 4, 4.53%
Answer: d. 4, 4.53%
Step-by-step explanation:
Given table :
Number of Children Frequency
0 325
1 212
2 660
3 151
4 68 ← Least frequency
5 or more 84
Total = 1500
or Sample size of couples = 1500
The number of children occurred the least frequently = 4 [Minimum frequency is 68 at number of children=4]
Percentage =[tex]\dfrac{least\ frequency}{Total}\times100[/tex]
[tex]\dfrac{68}{1500}\times100=4.53\%[/tex]
Hence, the correct answer is d. 4, 4.53%