Answer:
1/5n-1/5
Step-by-step explanation:
1/5(n-1) - translated into an expression, now simplify it
1/5n-1/5
Four bottles of wool will make eight knitted caps. How many balls of wool will Malcolm need if he wants to make six caps?
The sum of the measure of the angles in triangle ABC is 180 degrees. The sum of the measures of angle B and angle C is twice the measure of angle A. The measure of angle B is 32 degrees less than the measure of angle C.
Answer:
[tex]a=60\\b=44\\c=76[/tex]
Step-by-step explanation:
You can write these equations to represent the problem:
[tex]a+b+c=180\\b+c=2a\\b=c-32[/tex]
Now, just solve it as a system of equations. I'll solve by substitution, starting from the bottom as b is already defined there.
[tex]b=c-32\\b+c=2a\\(c-32)+c=2a\\c+c-32=2a\\2c-32=2a\\a=c-16[/tex]
That's the middle equation done, now I'll do the top one:
[tex]b=c-32\\a+b+c=180\\a+(c-32)+c=180\\a+2c-32=180\\a+2c=212\\a=-2c+212[/tex]
Now we have just 2 equations with 2 variables. That's another system of equations, but this one is much easier to solve. Using substitution again:
[tex]a=c-16\\a=-2c+212\\c-16=-2c+212\\3c-16=212\\3c=228\\c=76[/tex]
Finally, we have one variable solved. Using the value of C, now we can solve for A:
[tex]c=76\\a=c-16\\a=76-16\\a=60[/tex]
Thats 2 done. Now, pick any equation that has all 3 variables and solve for B:
[tex]a=60\\c=76\\a+b+c=180\\60+b+76=180\\b+136=180\\b=44[/tex]
All 3 variables done.
[tex]a=60\\b=44\\c=76[/tex]
Now, we can confirm that they're correct by checking with the original equations:
[tex]a+b+c=180\\60+44+76=180\\180=180\\\\b+c=2a\\44+76=2(60)\\120=120\\\\b=c-32\\44=76-32\\44=44[/tex]
They all work fine.
8. Find g.
g + 13 + 25 = 53
g=
Answer:
Step-by-step explanation:
to find this all you need to do is subtract 13 and 25 from the left side of the equation to get the answer in the form of g=. in this case g= 15
so far i have this
step 1 ADE=61∠ADE=61∘ reason Given
step 2 m∠A=73 ∘ reason Given
step 3 m∠ADC=119 ∘Linear pair (or triple)
step 4 m∠ABC=119 ∘Congruent angles
Answer:
Step-by-step explanation:
I think is linear pair.
help please due right now
Answer:
1. Not a translation 2. Translation
Step-by-step explanation:
1.) The blue shape is bigger than the red and thus NOT a translation
2.) Both figures are the same size and shape and thus meet the qualifications of a translation.
a translation is simply moving the EXACT SAME shape. Hope this helped!
Michelle bought 12 cookies and 8 cupcakes for $72. Jana bought 5 of the same cookies and 10 of the same cupcakes for $50. What is the price of each item?
Answer:
Step-by-step explanation:
x = cookies
y= cupcakes
12x + 8y = 72
5x + 10y = 50
60x + 40y = 360
-20x - 40y = -200
40x = 160
x = $4 each cookie
12(4) + 8y = 72
48 + 8y = 72
8y = 24
y = $3 each cupcake
picture below just look
Answer:
y = 2(x-5)(x+2)
Step-by-step explanation:
First make points out of the number!
(5,0), (-2,0), and (0,-20)
Plug it into this, p and q being the roots
y=a(x-p)(x-q) ---> y=a(x-5)(x+2)
Now plug in x and y from our y-intercept
-20 = a(0-5)(0+2) --> -20 = -10a ---> 2 = a
Now plug in "a" in orginal equation
y = 2(x-5)(x+2)
HELP MEEEE!!!!!!!!!!
The Riverton School softball team is made up of both fifth-grade and sixth-grade students. This year, there are 2 fifth-grade students for every 5 sixth-grade students on the team.If there are 9 more sixth-grade students than fifth-grade students on the softball team this year, how many sixth-grade students are on the team?
Answer:
15
Step-by-step explanation:
15/5=3
3 times 2=6
15-6=9
Answer:15
Step-by-step explanation:
Which of the following describes angle b? B=98degrees. A - Acute B - Obtuse C - Right D isosceles
write a real world station for the following ratio 2:1
Answer:
2 boys for every 1 girl
Step-by-step explanation:
Is this what you meant? Or am I missing something?
write an equation of a line in slope intercept form that passes through (3,-2) and the slope is 1/6 then convert to standard form
Answer:
slope-intercept form: [tex]y=\frac{1}{6} x-\frac{5}{2}[/tex]
standard form: [tex]x-6y=15[/tex]
Step-by-step explanation:
To write an equation for the line with the only point as (3,-2) and the slope is [tex]m=\frac{1}{6}[/tex] we use the slope-intercept formula [tex]y=mx+b[/tex]
To convert an equation that is in slope-intercept form with fractions you have to multiply the denominator of each fraction on both sides of the slope-intercept form equation.
Determine the intercepts of the line.
Answer:
4.5
-1
Step-by-step explanation:
The line cuts x axis at ( 4.5 , 0 )
So its x intercept is 4.5
Also it cuts y axis at (0,-1) .
So its y intercept is -1
Pls help me with this it for my sister
HELP ASAP
Simplify the expression (4^3 + 8^2 − 17 − 26) ÷ (2 + 3) using polynomial long
division
9(a+2)=9
con comprobación plisss!!
Answer:
9a+18=9
9a=-9
a=-1
Step-by-step explanation:
solve for x using parallel lines and angles
Answer:
x = 20
Step-by-step explanation:
The 2 given angles are adjacent on a straight line and sum to 180° , then
123 + 2x + 17 = 180
140 + 2x = 180 ( subtract 140 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Answer this math problem pls
Answer:
8 + 12 =20
Step-by-step explanation:
i think 20 the answer
Answer:
You only have yo flip it
Step-by-step explanation:
I did it before
If f(x)= 4x-12, what is f(2)?
the answer is -4
Step-by-step explanation:
f(x)=4(x)-12
=4(2)-12
=-4
Find the average rate of change of the functionf(x)=(12)x+12 over the interval [0, 1]
We know that f(x) = 12x + 12
f(1) = 12 * 1 + 12= 24
f(0) = 12*0 + 12 = 12
The formula of the average rate of change is : f(1) - f(0) / (1 - 0)
(24 - 12) / 1 = 12/1 = 12
So the average rate of change is 12
Good Luck
Brenda invests $100 in a savings account with a fixed annual interest rate of 5% compounded annually. What does the $100 represent? What will the account balance be after 6 years?
Answer:
[tex]\tiny\mathbb\limegreen{Verified \: Answer}[/tex]
What is the solution of the system of equations shown above ??
Answer:
(2,1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=2
y=1
Shawn's engineering club is taking a trip by bus to a robotics fair. The fair is 175 miles from Shawn's school. The bus driver plans to stop and refuel after 2 hours, then complete the trip. The bus driver plans to drive at an average speed of 50 miles per hour. How many hours will the second part of the trip take?
The second part of the trip would take 1.5 hours.
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance/time
Since the total distance is 175 miles at an average speed of 50 mph. Hence the total time is:
Speed = distance/time
50 = 175/time
time = 175/50
Time = 3.5 hours
Since the first trip takes 2 hours, the time needed for the second trip is:
Total time = time for first trip + time for second trip
3.5 hours = 2 hours + Time for second trip
Time for second trip = 1.5 hours
The second part of the trip would take 1.5 hours.
Find out more at: https://brainly.com/question/9834403
Solve for y
6 = 4x + 9y
Answer:
-4/9
Step-by-step explanation:
help please sorry again
Answer:
C. 2 and 6
Step-by-step explanation:
2 and 6 are the zeros because they are both on X
consider these functions:
f(x)=3x-7
g(x)=x+1/x-1
what is the value of f(g(3))
a. -1
b. 0
c. 3
d. 5
Answer:
Step-by-step explanation:
g(3)= (3+1)/(3-1)= 4/2= 2
f(2)= 3(2)-7 = 6 - 7 = -1
answer is a. -1
a polygon has the following coordinates A(1,-1), B(-4,-1), C(-4,3), D(1,3) find the length of BC.
Answer:
BC = 4
Step-by-step explanation:
sqrt( (-4-(-4))^2+(3-(-1))^2)
Answer:
4
Step-by-step explanation:
using points (-4,-1) and (-4,3) put them into the equation.
[tex]\\\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]
[tex]\sqrt{((-4)-(-4))^{2}+ 3-(-1))^{2} }[/tex]
[tex]\sqrt{0+(3+1)^{2} }[/tex]
[tex]\sqrt{0+16}[/tex]
[tex]\sqrt{16}[/tex]
4
On Halloween 18 pirates came to my door to trick or treat. 9 of the pirates had cutlasses 11 of the pirates had eyepatches 3 of the pirates neither cutlasses nor eye patches. How many pirates had both cutlasses and eye patches?
Answer:
9
Step-by-step explanation:
Well since 11 of the pirates had eyepatches, and 11 is greater than 9, all 9 of the pirates that had cutlasses had eyepatches as well. I don't know if this is completely correct but it's the only thing that makes sense to me.
Match each inequality to its graph. Then determine whether (0,0) is a solution for each
inequality.
Answer:
I can't read that..........
50 points and brainliest first correct answer! see image attached :)
Step-by-step explanation:
1)
The rule is: (x, y) → (x + 4, y - 3)
This is the translation 4 units right and 3 units down.
2)
Since same rule applied to all three points A, B and C, they translate into same direction and same distance.
It means AA' and BB' are parallel and congruent. Same applies to segment CC', it is parallel to AA' and BB' and have same length.
Answer:
1)
The rule is: (x, y) → (x + 4, y - 3)
This is the translation 4 units right and 3 units down.
2)
Since same rule applied to all three points A, B and C, they translate into same direction and same distance.
It means AA' and BB' are parallel and congruent. Same applies to segment CC', it is parallel to AA' and BB' and have same length.
Step-by-step explanation: i did this so you can brainlist the other person
What is the length of AB
Answer:
12.64
Step-by-step explanation:
cos 53 = Adjacent side/Hypotenuse
cos 53 = Adjacent side/21
21 * cos 53 = (Adjacent side/21) * 21
21 cos 53 = Adjacent side
Adjacent side (AB) ≈ 12.64
