Answer:
The value of k that would make Deanna's claim to be true is k = 4
Step-by-step explanation:
The given transformation that Deanna has a claim for = Rotation
Deanna's claim. the minimum rotation of a polygon about its center that carries the polygon onto itself = The interior angle of the polygon
We note that the rotation of a regular polygon about its center that carries the polygon onto itself = The exterior angle of the polygon
Therefore, given that for a polygon with more than 5 sides, the exterior angle of the polygon < The interior angle of the polygon, Deana statement can be said to be true for the case of a square
Here;
The exterior angle of the polygon = The interior angle of the polygon 90
The value of k which is the number of sides of the polygon, for a square = 4
Therefore, the value of k that would make Deanna's claim to be true is k = 4.
Find an equation of the line that passes through the given point and has the indicated slope m.
Answer:
y = [tex]\frac{4}{5}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{4}{5}[/tex] , thus
y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (- 5, - 2) into the partial equation
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = [tex]\frac{4}{5}[/tex] x + 2 ← equation of line in slope- intercept form
mary won £5000 in a competition .she used the money to pay for herself and 8 friends to go on a holiday. Flights cost £279 for each of them. Accommodation costs £184 for each of them. how much of the £5000 did she have left after paying for flights and accommodation for herself and the 8 friends
Answer:
the answer is £833
Step-by-step explanation:
Mary have £5000.
8 friends + Mary = 9 people
flight = £279 × 9
= £2511
accomodation = £184 × 9
= £1656
flight + accomodation = £4167
£5000 - £4167
= £833
Solve the system of equations.
2x + 7y = 3
x= -4y
Answer:
(12, -3)
Step-by-step explanation:
You can solve it algebraically or graphically. Graphically you find the intersection point. Algebraically with substitution/elimination.
r^4/9 translated verbal expression
Answer:
The quotient of 4 and 9 raised to the power of r.
Step-by-step explanation:
The verbal translation of [tex]r^{\frac{4}{9} }[/tex] is r to the power four-tenths.
Given,
[tex]r^{\frac{4}{9} }[/tex]
We have a number r with power 4 / 9.
we need to translate it into verbal form.
What are exponents and power?If a number is expressed in this form - [tex]A^{B}[/tex]
A = base and B = exponents.
We can say that a number has base A with exponents B.
There are many ways to verbally express a given number.
Example:
3 / 2 = 3 divide by 2.
[tex]6^{2}[/tex] = six to the power two.
3 x ( 3 + 2 ) = three multiplied with the addition of three and two.
7 x [tex]8^{3}[/tex] = seven multiplied by 8 to the power three.
[tex]3^{\frac{1}{7} }[/tex] = three to the power of one-tenths.
We are given,
[tex]r^{\frac{4}{9} }[/tex]
We can say that the base is r and the exponent is 4/9.
or
we can also say r to the power four-tenths.
Thus the verbal translation of [tex]r^{\frac{4}{9} }[/tex] is r to the power four-tenths.
Learn more about verbal translation here:
https://brainly.com/question/16713965
#SPJ2
(3х + 2) 2
What is the answer
If you meant to say (3x+2)^2, then the answer is 9x^2+12x+4
=============================================
Explanation:
You would use the FOIL rule to get
(3x+2)^2
(3x+2)(3x+2)
(3x)*(3x) + (3x)(2) + 2(3x) + 2*2
9x^2 + 6x + 6x + 4
9x^2 + 12x + 4
Ezequiel's Biology marks are 8.3, 6.8 and 9.4 out of 10. His final grade in Biology is the mean of these three marks. b Calculate the final grade that Ezequiel found.
Step-by-step explanation:
The mean is the average.
(8.3 + 6.8 + 9.4) / 3
≈ 8.2
Find EF given E(-7, -2) and F(11, 3). Round your answer to the nearest thousandth (3 decimal places).
Answer:
18.682
Step-by-step explanation:
Given that :
E = (-7, - 2) ; x1 = - 7 ; y1 = - 2
F = (11, 3) ; x2 = 11 ; y2 = 3
EF = √((x2 - x1)² + (y2 - y1)²)
EF = √((11 - -7)² + (3 - -2)²)
EF = √((11 + 7)² + (3 + 2)²)
EF = √(18² + 5²)
EF = √324 + 25
EF = √349
EF = 18.6815
EF = 18.682 units (3 decimal places )
whats 2/3x+3/7=1-4/7x
Answer:
[tex]x=6/13[/tex]
Step-by-step explanation:
So we have:
[tex]\frac{2}{3}x+\frac{3}{7}=1-\frac{4}{7}x[/tex]
Remove all the fractions to make things simpler. To do so, we can multiply by the LCM of the denominators.
The denominators are 3 and 7.
The LCM of 3 and 7 is 21. Thus, multiply everything by 21:
[tex]21(\frac{2}{3}x+\frac{3}{7})=21(1-\frac{4}{7}x)[/tex]
Distribute:
[tex]\frac{42}{3}x+\frac{63}{7}=21-\frac{84}{7}x[/tex]
Simplify the fractions:
[tex]14x+9=21-12x[/tex]
Add 12x to both sides:
[tex]26x+9=21[/tex]
Subtract 9 from both sides:
[tex]26x=12[/tex]
Divide both sides by 26:
[tex]x=12/26[/tex]
Reduce:
[tex]x=6/13[/tex]
And that's our answer :)
Answer: x = 6/13
find the common denominator (21);
14/21x + 9/21 = 21/21 - 12/21x
move your variable to one side and your constants to the other:
26/21x = 12/21
multiply all by 21/26 to get a lone x:
x = 12/26
simplify:
x = 6/13
It takes 22 minutes for 10 people to paint 10 walls. How many minutes does it take 14 people to paint 14 walls?
Answer:
22 minutes
Step-by-step explanation:
The number of minutes and number of people are inversely proportional but the number of people, minutes painted and walls painted are directly proportional. Therefore, it takes 10 people 22 / 10 = 2.2 minutes to paint 1 wall and 2.2 * 14 = 30.8 minutes to paint 14 walls. To find the time it takes 14 people to paint 14 walls, we can set up the following equation:
14 * x = 30.8 * 10 (where x is our answer)
x = 30.8 * 10 / 14 = 22 minutes
Additionally, an easier way to do this is to recognize that 1 person paints 1 wall when 10 people paint 10 walls in 22 minutes so as long as the number of people and walls are the same, it will always take 22 minutes.
If you reflect the segment with endpoints (3,2) and (-4, 3) across the line y=-X,
what are the coordinates of the new points? *
help plz
Greetings from Brasil...
Here is the graphical explanation in the annex.
A = (-4; 3)
B = (3; 2)
(segment BLUE)
After reflection on F(X) we will get the segment GREEN
note that the length M = M and N = N
A' = (-3; 4) B' = (-2; -3)please help I guess..
Answer:
the third 1 ( his car is slowing down)
What is the decimal of the fraction 7/9?
Answer:
0.77777777777777777777777777777777(the 7 repeats forever)
Step-by-step explanation:
Answer: 0.78
To find the decimal of a fraction, you divide the numerator by the denominator. 7 ÷ 9 is equal to 0.77777... which is equal to 0.78 when rounded.
Evaluate the following function for x=−4 f(x)=2x+5 A −13 B −3 C 13 D 3
Answer:
[tex]\huge\boxed{B. \ -3}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x+ 5[/tex]
Put x = -4
[tex]f(-4) = 2(-4) + 5\\f(-4) = -8+5\\f(-4) = -3[/tex]
given the equation y = 2x - 8, find the ordered-pair solution when x = 4 and the ordered-pair solution when y = 4
Answer:
When x = 4, (4, 0)
When y = 4, (6, 4)
Step-by-step explanation:
To find the ordered-pair solution when x = 4, plug 4 into the x of the equation.
y = 2x - 8
y = 2(4) - 8
y = 8 - 8
y = 0
This produces the ordered pair (4, 0).
To find the ordered-pair solution when y = 4, plug 4 into the y of the equation.
y = 2x - 8
4 = 2x - 8
12 = 2x
6 = x
x = 6
This produces the ordered pair (6, 4).
I have few questions i need help on 1. A student scored 65 marks out of a total marks off 100 in a test, what is his percentage score .
2. if i add 2 to a number and then triple the sum , the result is two times what i get when i add 4 to the number what is the number.
3a. simplify
[tex]1 - (2 \frac{1}{3} \times 1 \frac{1}{4} ) + \frac{3}{5} [/tex]
b Evaluate
[tex] \frac{1}{3} \div ( \frac{5}{7} ( \frac{9}{10} - 1 + \frac{3}{4} ) [/tex]
in this questions i used BODMAS still its saying I'm wrong pls help .
4. Find the sum of three consecutive even numbers if there mean is 24.
5. The sum of four consecutive odd numbers is 72,find the numbers.
6. if when 4 is added to half a number ,the result is 8 , what is the number?
7. change the expression
[tex] \frac{14}{13 - 3} [/tex]
into words .
8. A customer paid 500 naira after a discount of 10% had been allowed. what was the marked price of the article ?
9. a salesman is paid 5% on his first 50 000 naira sales,10% of the next 30 000 naira and 20% of all sales in excess of 80 000 naira . calculate his commision on sales totalling 100 000 naira .
10. Find the multiplicative inverse of the following of each numbers
a 3
b -2
c 5x
11. find the additive inverse of the following
a. + 0.27
b. + 13
c. -6
That's all .
Answer:
1. His percentage score is 65%
85 out of 200 workers in a building arrive at 8:00 a.m. What percent of workers in the building do NOT arrive at 8:00 a.m.?
Answer:
57.5 %
Step-by-step explanation:
First find out the number of workers that do not arrive by 8 am
200 -85 = 115
Take this number divided by the total
115/200 = .575
Change to percent form
57.5 %
gabrielle took a spanish test with 50 questions and answered 44 of then correctly. what percent of the questions did gabrielle answer correctly?
Answer:88%
Step-by-step explanation:
Percent means out of hundred. If you try to find what percentage something is out of a larger number, you multiply the fraction by 100%.
Our fraction in this case is 44/50.
(44/50) × 100% simplifies to (using a common factor of 2) (22/25) × 100% (2 goes into 44 twenty-two times, and into 50 twenty-five times). 100 and 25 share a common factor of 25, so this fraction can further be simplified to (22/1) × 4% (25 goes into itself once, and into 100 four times). 22/1 is the same as 22. 22 × 4% = 88%. And that's your answer.
10+80-60x3 divided by 4 -7 x 3 +6
Answer:
90/ 11 or 8.18
Step-by-step explanation:
(10+80-60 * 3) / ( 4 -7 x 3 +6)
-90/-11
90/11
8.18
How do I solve for x?
2x + 2x + 15 - x +4x - 7 + 9 = 94
8x - x + 17 = 94
7x = 94 - 17
7x = 77 / : 7
x = 11 [ m }
A line segment can be drawn between any two points.
A. Conjecture
B. Definition
C. Postulate
D. Conditional statement
Solve for x. 7/8(−32−48x)+36 =2/3(−33x−18)−10x
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 2
Answer:
x=2
Step-by-step explanation:
7/8(-32)-7/8(48x)+36=2/3(-33x)-2/3(18)-10x
= -224/8-336x/8+36
=-66x/3-36/3-10x.
Simplifying the fractions
-28-42x+36=-22x-12-10x.
Combining like terms
-42x+8=-32x-12.
Add 32x to both sides:
-42x+8+32x=-32x-12+32x
-10x+8=-12.
Subtract 8 from both sides:
-10x+8-8=-12-8
-10x=-20.
Divide both sides by -10:
-10x/-10 = -20/-10
x=2.
Margo spends 0.25 of her paycheck on a new dress, One-eighthof her paycheck on shoes, and $24 on a birthday present. If she spent $60 altogether, how much was Margo’s paycheck?
Answer:
96
Step-by-step explanation:
.25x + .125x + 24 = 60
.25x + .125x = .375x
.375x + 24 = 60
60 - 24 = 36
.375x = 36
36/ .375
x = 96
Answer:
96
Step-by-step explanation:
I TOOK IT ON EDGGGGGGG
how many terms in 9a+11p
Answer:
2 terms
Step-by-step explanation:
Terms are nothing but the mixtures of co-effecients and their variables..
Here, 9a is one term while 11p is the other
Answer:
2
Step-by-step explanation:
9a is a term and 11p is a term.
I NEED THIS ANSWER BY TONIGHT!!!! How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 80% antifreeze? Use the six-step method.
Answer:
Solution : 600 gallons
Step-by-step explanation:
Let's say that x is the gallons of 90% antifreeze solution. Let's start by converting each percent to decimal form.
90% = 0.9
20% = 0.2
80% = 0.8
Knowing that we have the following set up,
0.9(x) + 0.2(100) = 0.8(x + 100) ⇒ 0.8 is associated with " x + 100 " as it is a mixture of the gallons of the 90% antifreeze solution, and the gallons of the 20% antifreeze solution
We can solve for x in this equation, and receive our solution. This is represented by the following attachment. It proves that there are 600 gallons of the 90% antifreeze solution.
What is the value of y when -5=y-7/9? A) -7 B) -11 C) -38 D) -52
Answer:
C) -38
Step-by-step explanation:
[tex]-5=y-7/9\\-5+7/9=y-7/9+7/9\\-38/9=y[/tex]
I guess closest answer is C
[tex] |x + 9| - 4 = 2x[/tex]
Find the find the solutions
Answer:
x = 5 when x >=-9
Step-by-step explanation:
| x + 9 | - 4 = 2x
x + 9 - 4 = 2x
x - 2x = 4 - 9
-x = - 5
x = 5
x < - 9 no solution
| x + 9 | - 4 = 2x
| -10 + 9 | - 4 = 2(-10)
| -1 | - 4 = -20
1 - 4 = -20
-3 = -20
x >= -9 no solution only x = 5
| x + 9 | - 4 = 2x
| -9 + 9 | - 4 = 2(-9)
| -1 | - 4 = -18
1 - 4 = -18
-3 = -18
simplify 7 to 6th power to 7 to the 5th power
what is 7vr - (-7rv)=
Answer:
14vr
Step-by-step explanation:
7vr - (-7rv)=
Subtracting a negative is like adding
7vr + (7rv)=
Changing the order of rv to vr
7vr + (7vr)=
Combing like terms
14vr
The low temperatures for a week in Edmonton, Alberta are -15 C, -12 C, -10 C, -12 C, -18 C, -20 C, and -25 C. What is the mean low temperature for the week? Show your work PLZ
-15.7
Step-by-step explanation:
2
-15
-12
-10
-12
-18
-20
-25
-------
-110
7 divide by -110=-15.7
Work out the size of angle x
Answer:
104 degrees
Step-by-step explanation:
90 + 54 + 132 = 276
360 - 276 = 104