What is the maximum number of chairs and tables Ben can make in a month.
Answer:
Maximum number of tables he can make per month = 100 tables
Maximum number of chairs he can make per month = 400 chairs
Step-by-step explanation:
He is not able to make more than 500 pieces of furniture per month
Also, he needs to make at least 25 tables and at least 100 chairs each month.
x is number of tables and y is number of chairs per month.
Thus, inequality to represent this is;
x + y ≤ 500
Constraints are;
x ≥ 25
y ≥ 100
Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs
Thus, ratio of tables to chairs should always be 1:4
Thus,
Maximum number of tables per month = 1/5 × 500 = 100 tables
Maximum number of chairs per month = 4/5 × 500 = 400 chairs
I need help with geometry
Statement 1 and statement 3 contradict
======================================================
Explanation:
We'll start with statement 1 and try to build to statement 3, and you'll find that a contradiction happens.
If angle 1 and angle 2 are supplementary, then that must mean [tex]m \angle 1 + m \angle 2 = 180[/tex] because the angles can be combined to form a straight angle.
Add the measure of angle 3 to both sides
[tex]m \angle 1 + m \angle 2 = 180\\\\m \angle 1 + m \angle 2+m\angle 3 = 180+m\angle 3[/tex]
The left side matches with the left side in statement 3, but the right side is a bit off. That [tex]m\angle 3[/tex] term needs to be zero, so that the right side boils down to simply 180. However, statement 3 specifically mentions that angle 3 is nonzero. So angle 3 is some positive value.
That's why choice C is the answer.
------------------
Here's an example:
Let's say angles 1 and 2 are 50 and 130 degrees. The order doesn't really matter, but I'll make angle 1 to be the smaller angle.
This means,
[tex]m \angle 1 + m \angle 2 = 180\\\\50 + 130 = 180\\\\[/tex]
So we've made statement 1 to be true. The angles 50 and 130 are indeed supplementary.
Now let's add some nonzero value to both sides. This will represent the measure of angle 3. If we add say 10 degrees to both sides, then,
[tex]50 + 130 = 180\\\\50 + 130+10 = 180+10\\\\50 + 130+10 = 190\\\\m\angle 1 + m\angle 2 + m\angle 3 = 190\\\\[/tex]
we don't get 180 like we want in the equation of statement 3. This is where the contradiction happens, more or less. One right side is 180, the other right side is 190. The 190 will change if you use some other value for angle 3, but hopefully you can see that it's impossible to add up angles 1 through 3 to get 180. It's only possible if angle 3 were zero degrees.
We can think of it like angles 1 and 2 hog up all the oxygen, and use up 180 points of it, leaving no air for angle 3 to breathe so that's why angle 3 must be 0. Furthermore, it means that a triangle is not possible if exactly two angles are supplementary.
----------------------
Extra info:
Statements 1 and 2 can coexist just fine without any contradictions happening. If angle 1 is 110 degrees, then that makes angle 2 to be 70 degrees (110+70 = 180). That rules out choice A.Statements 2 and 3 are just fine as well, for similar reasoning as above. We can plug in 110 for angle 1, then subtract that from 180 to get 180-110 = 70. Then from here, just ensure that angles 2 and 3 add to 70. So there are infinitely many ways to do this. Choice B can be ruled out.Choice D is ruled out because we found choice C to be the answer, ie the contradicting two statements.Answer:
C) l and lll
Step-by-step explanation:
m∠1+∠2=180
m∠1+m∠2+m∠3=180
180+m∠3=180
m∠3=0 but m∠3=∦0
-----------------------------------
hope it helps...
have a great day!!
If 100% of a number is 200, what is 90% of the number?
I'm pretty sure the answer is 180
><
Answer:
180
Step-by-step explanation:
100:200 is 90:x
x is 180
So let's suppose that they ask you how far does that circle go in 8 rotations. What would the answer be? (Hint - She multiplied by 3 for 3 rotations. I am now asking you about 8 rotations)
I NEED THIS ASAP PLEASE
Answer:
614400°
Step-by-step explanation:
please help me I'm stup*d
who doesn't know Latvian here is translation: Distribution in square trinomial multipliers!
Write separate characters and numbers. Write the smallest multiplier in the first brackets!
Answer:
:)
Step-by-step explanation:
There’s an answer already
Among the youth that vape, what percentage smoke e-cigarettes with special flavorings? a 40% b 50% c 85% d more than 95%
Answer:
d. more than 95%
Step-by-step explanation:
According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.
As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.
please help! image is below,
If b = 45, and c = 4 , then a = ___ units.
Answer:
a = 26.5 units.
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
By intersecting tangent and secant theorem:
[tex] {a}^{2} =c(b + c) \\ \\ {a}^{2} = 4(4 + 45) \\ \\ = 4 \times 49 \\ \\ a = \sqrt{4 \times 49} \\ \\ a = 2 \times 7 \\ \\ a = 14[/tex]
fill in the missing numbers to complete the pattern ___, 2.6, 3.1, 3.6,___, 4.6
2.1 and 4.1
.................
Answer:
2.1 should be the first one, and 4.1 should be the next one
(07.05)
What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? (4 points)
a. −4
b. −2
c. 2
d. 4
Can someone please give me a step by step I am really struggling <3
Answer: n = -2
Step-by-step explanation:
3n +2(n + 2) = 9n + 12
(simplify 2(n + 2)) =
3n + 2n + 4 = 9n + 12
(subtract 9n from both sides)
3n + 2n - 9n + 4 = 12
-4n + 4 = 12
(subtract 4 from both sides)
-4n = 8
(divide -4 from both sides)
n = -2
Jolinda and her parents are discussing how to pay for her college education. The cost of tuition at the college Jolinda wants to attend is $7250 a year. Jolinda's parents can pay 70% of the tuition and Jolinda will have to pay the rest. She has one year to save enough money for the first year of college. What is the minimum amount of money she should save every month to reach this goal?
Answer:
$181.25
Step-by-step explanation:
Given data
Amount= $7250
The amount the parent will pay
=70/100*7250
=0.7*7250
= $5075
Hence the balance left for her to pay is
=7250 -5075
=$2175
Hence the least monthly amount is
=2175/12
=$181.25
Help pls! Correct answer gets brainliest
Answer:
2.6
the scale interval is 0.1.
point A is -1.3 whereas point B is +1.3
their distance should be 1.3+1.3 =2.6
Answer:
2.6 units
Step-by-step explanation:
since you can count and see that there are 9 minimarks in between each whole number, you know that each minimark is equal to .1, then count how many minimarks it take you to get the the first whole number go towards zero, so starting at -1.3, you would count 3 minimarks. so now you are at -1, and you can add 2 to get to +1, so now your total distance traveled is 2.3, then count how many minimarks it takes you to get to the point, which is also three, so when you add it all together, you have 2.6
the other way to solve this is to add the absolute value of each point together, granted this only works when you have one positive point and one negative point. the equation for this would be |-1.3|+|1.3|=2.6. this works because the absolute value measure the distance from zero, so you can addd them together to get the total distance
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
PLEASE HELP FAST ILL GIVE A BRAINLIST
Graph the solution of the inequality 2x − (3 − x) > x + 1 on the number line.
Group of answer choices
Open circle at 4 and shading to the right
Open circle at 2 and shading to the right
Open circle at 2 and shading to the left
Open circle at 4 and shading to the left
Answer:
Step-by-step explanation:
open circle 2 left
PLEASE HELP ASAP I WILL MARK BRANLIST!!!!!!
Of 10 test scores, six are less than or equal to 82 What is the percentile rank of a test score of 82?
The percentile rank of 82 is…
Answer:
60% of the test scores are less than or equal to 82
Step-by-step explanation:
I need answer ASAP
No links please
Answer:
The answer is B
Step-by-step explanation:
Since we already know that angle A and D are congruent, if angles C and F were also congruent, we can prove the triangles are similar through AA, meaning the triangles have 2 sets of corresponding congruent angles. The other option D doesn’t work because if we were going off on using the sides as a way to prove similarly, than all 3 sides of one triangle would need to be proportional and corresponding to the other 3 of the other triangle (which is not given, so that info isn’t enough, option D only gives us 2 sides of each triangle)
Hope this helped ~~
Classify this triangle by its sides.
Answer:
Scalene
Step-by-step explanation:
All sides are not the same so it is considered scalene.
Classifications:
Scalene = no sides and angles are the same to others
Equilateral = All sides and angles are congruent
Isosceles = 2 sides and 2 angles are congruent.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Scalene
Step-by-step explanation:
Isosceles=two sides are equal
Scalene=all sides are different
Equilateral=all three sides are equal
Write the verbal sentence as a equation. 3 times the sum of a number and 2 is 12.
Answer:
3(x+2)=12
Step-by-step explanation:
let the number be x
the sum=x+2
the answer
3(x+2)=12
The zeros of a function are the values of x for which the function is equal to zero.
Enter a number in each blank to make true statements about the function g(x)=(2x−4)(x−5).
Answer:
g(x)=0 when x= 2 or when x= 5
The graph of g intercepts the x-axis at x= 2 and x= 5
The zeros of g are 2 and 5
Step-by-step explanation:
the circumference is 12 mile. What is the diameter?
To find the diameter of a circle, using only the circumference, you need to divide the circumference by π, or 3.14.
So in this case, you must divide 12 by 3.14, which gives you 3.82.
I even double checked this, and should be correct then.
Answer:
The diameter is approximately 3.8 mi
Step-by-step explanation:
The circumference formula is C = πd. Dividing both sides by π results in a formula for d (diameter) when C is known:
d = C / π
In this case, with C = 12 mi,
d = 12 mi / π, or approximately 3.8 mi
BRAInly whats the difference between isolation and separation?
For the las ttime yeahhh, yeahhh,
Im sitting here reminiscing now why we kis.sing b.aby, I gave you top of the line, I know you miss it baby.
I got alot on my mind why don't you listen ba.by?
If you can turn back the time you would've listened ba.by.
You would've listened to the words I swear, yo s.h/i/t would be out in the curve I s.w.ear, I s/w.ear to God you had some nerve I s/we.ar, but that's for listening to them birds out there,I put up with your bu/l/ls.hi.t for the last time, who would of thought that we were f/u/c/ki.ng for the last time (it was the last timmmeee) it was the last time, who would of thought that we were fu/c/k/ing was the last time
I got this s/,h,it yeah I got problems with com/mi/ment ba.b/y,
I apo/logized to you I should have listened ba.by, I wasn't in lo.ve
With them h/o,e.s, I was just pi/m/pi/ng b.a/by, I knew my part knew my role I wasn't slipping ba.by, I regreated you know I do nobody perfect,Used to dress you in jimmy choo because you worth it
You ain't here when I needed you, what was your purpose?
Say you love me, say you trust me, now you cu.rsin'
Half the time I'm at the studio writing verses
is that separation is the act of separating or the condition of being separated while isolation is (chiefly|uncountable) the state of being isolated, detached, or separated.
also, whats up with the singing?
Hello! If you can help me with this thank you
please help!!!!!!!!
3x2 + x - 4 = 0
SELECT ALL THAT APPLY.
(x - 1)(3x + 4) = 0
(3x +2)(x - 6) = 0
(3x + 4)(x - 1) = 0
(x + 1)(3x - 4) = 0
(3x - 3)(3x - 4) = 0
(3x - 4)(x + 1) = 0
all of the apply my math teacher always did that and all of them aways applied
Answer:
(3x + 4)(x-1)=0
Step-by-step explanation:
It's a quadratic equation.
now you need to find two numbers such that when you multiply then you get -12 and when you add them you get +1
[tex]3x {}^{2} + x - 4 \\ 3x {}^{2} + 4x - 3x - 4 \\ x(3x + 4) - 1(3x + 4) \\ (3x + 4)(x - 1)[/tex]
Find ( x+5 ) ( x+2 )
Answer:
(x+5)(x+2)
x(x+2)+5(x+2)
x*x+x*2+5*x+5*2
x^2+2x+5x+10
x^2+7x+10
Step-by-step explanation:
A survey was conducted to find what percentage of high school students prefer
watching baseball or football or both. Students had to select one of those three options.
Let A represent the set of students who prefer watching baseball and B represent the set
of students who prefer watching football.
Which statement correctly describes the complement of set A?
The students who prefer baseball or football or both.
The students who prefer football but not baseball.
The students who prefer only baseball.
The students who prefer only baseball or only football.
Answer:
the student who prefers football but not baseball
What is the equation, in standard form, of a circle with center (−5, −9) and radius 7?
Enter your answer by filling in the boxes.
x__^2+y__^2=___
Answer:
Solution given:
Centre(h,k)=(-5,-9)
radius (r)=7
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
Substituting value;
(x+5)²+(y+9)²=7²
(x+5)²+(y-9)²=49 is a required equation of a circle.
Standard equation
(x-h)²+(y-k)²=r²(x+5)²+(y+9)²=7²(x+5)²+(y+9)²=49A ladder is leaning against the side of a 10m house. If the base of the
ladder is 3m away from the house, how tall is the ladder? Draw a
diagram and show all work.
Answer:
The ladder is 7 Meters up the wall.
heyy! i’ll give brainliest please help
Answer:
I think it's either B or C
hope this helps
have a good day :)
Step-by-step explanation:
Pick which one you think best
Find an explicit formula for the arithmetic sequence 170,85,0,-85,...170,85,0,−85,...170, comma, 85, comma, 0, comma, minus, 85, comma, point, point, point.
Answer: d(n)=170-85(n-1)
Step-by-step explanation: Khan Academy
2) The ratio of an exterior and an interior angle of regular polygon at a vertex is 2 : 7, the number of sides of the regular polygon is __________ *
Answer:
Ext=2x
Int=7x
Int+ext=180
2x+7x=180
9x=180
x=20
Ext=2×20=40
No of sides =360/40
=9 sides.
I hope this helped you
Step-by-step explanation:
Answer: the sides have to be the same length so an equilateral triangle a square a rhombus get what i am saying
please help and simplify these expressions and show how u found them! i will mark brainliest !
Answer:
3) 3k+20
4) 4+2d
Step-by-step explanation:
You first have to distribute by multiplying the number next to the expression in the parenthesis. Then you combine like terms.
3) 5(k+4)-2k
Step 1: (5×k= 5k) (5×4=20) equation is now 5k+20-2k
Step 2: 5k-2k=3k since they both have the same variable you combine like terms. Equation is now 3k+20 (Final answer)
4) 2(3+d-1)
Step 1: (2×3=6) (2×d=2d) (2×[-1]=2) Equation is now 6+2d-1.
Step 2: (6-2=4) Since both 6 and 1 don't have any variable their like terms and you combine them. Equation is now 4+2d (Final answer)
The three inside angles (A,B and C) of a right-angled triangle are in the ratio 7:18:11. Th smallest angle is 35. Work out angles A, B and C
Answer:
<A = 35degrees
<B =90degrees
<C = 55degrees
Step-by-step explanation:
Given the ratios of a triangle as 7:18:11
Total ratio = 7+18+11
Total ratio = 36
Since the smallest angle is 35degrees, hence <A = 35degrees
Get angle B;
<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)
<B = 1/2 * 180
<B = 90degrees
Get angle C;
<C = 11/36 * 180
<C = 11 * 5
<C = 55degrees
Hence the value of A, B and C are 35, 90 and 55 degrees repectively
Marking brainliest
Are you against animal testing? If so, why?
Answer:
No
Step-by-step explanation:
I honestly find it quite disturbing. That is just me though, and I just hate seeing animals get hurt.