The limits of the domain and the range are 0 to 200, respectively; and you would use the minimum and maximum values of the domain and range because the graph of the inequality uses a solid line.
The items chosenThe items selected here could be any of the listed drinks and food items.
To solve this question, we use the following selection:
Muffins ($0.50/each) -- xindividual cartons of milk or chocolate milk ($0.50/each) -- yBudget of $100The inequality of the cost of itemsIn this case, we use the less than or equal to inequality.
So, we have:
0.5x + 0.5y ≤ 100
Solve the inequality for y (slope-intercept form).In (b), we have:
0.5x + 0.5y ≤ 100
Subtract 0.5x from both sides
0.5y ≤ -0.5x + 100
Divide through by 0.5
y ≤ -x + 200
This means that the slope is -1, and it means that for every food item bought, there is a decrement of 1 in the drink.
The graph of the inequalitySee attachment for the graph of the inequality
The features of the graph include
Straight and solid lineIt is shaded downThe shaded region represents the acceptable solutionsWhat are the x and y-intercepts?From the attached graph, we have:
x-intercept = 200y-intercept = 200This means that you can buy 200 food items, when you buy no drinks or buy 200 drinks when you buy no food item
What are the domain and range in this problem?These are the acceptable x and y values of the graph.
From the attached graph, we have:
Domain: 0 ≤ x ≤ 200Range: 0 ≤ y ≤ 200The domain and range are different from the domain and range of any linear equation because the domain and the range of a linear equation is the set of all real numbers, while this domain and range are limited to 0 to 200
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This is to get easy points but to also be kind
If Carmen drives 17.5 miles to a grocery store and 17.5 miles back then can’t find what she needs so she drive 12.5 miles to a gas station and 12.5 back how many miles did she drive.
I will be giving points out for being on this app so be on the lookout
Answer:
60 miles
Step-by-step explanation:
Distance travelled :
2 x Distance to grocery + 2 x Distance to gas station2(17.5) + 2(12.5)35 + 2560 miles4 Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cmº greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant figures. You must show all your working.
Answer:
116 centimeter squared
Step-by-step explanation:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
2- If A=(3, 4) and B = (7,8), find AB.
Use distance formula and take this question down, easily.
Step-by-step explanation:
Distance xy =
[tex] \sqrt{ {(x_2 - x_1) }^{2} + {(y_2 - y_1)}^{2} }[/tex]
Therefore AB
=[tex]\sqrt{(7-3)^2 +(8-4)^2}[/tex]
=[tex]\sqrt{(4)^2 +(4)^2}[/tex]
=[tex]\sqrt{32}[/tex]
=[tex]\boxed{4 \sqrt{2}-units} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex]\large\underline{ \boxed{ \sf{✰\:Important\: points }}}[/tex]
➢ Here question is asking to find the distance between points "A" and "B"
➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula
➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions
[tex]\rule{80mm}{2.5pt}[/tex]
[tex]{ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}[/tex]
★ Here
[tex] \sf \:➣ x_2 = 7 \\ [/tex][tex] \sf➣x_1=3[/tex][tex] \sf➣y_2=8[/tex][tex] \sf➣y_1=4[/tex][tex]\rule{80mm}{2.5pt}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Now\: substitute\:value}}}[/tex]
[tex]\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
Hence distance of AB =
[tex]{ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}[/tex]
Hope it helps !
Find the measure of all sides. Round to the nearest tenth.
Answer:
(15squrt3)/2
Step-by-step explanation:
cos30=x/15
What are the trigonometric ratios of in a right triangle with the given value tan A = 9/40
The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
Trigonometric ratiosTrigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
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please help me on this you will get alot of point and brainliest
Answer:
0.8 miles
Step-by-step explanation:
Answer:
5.2 miles
Step-by-step explanation:
Airport to Arcadia is one leg of right triangle = x
Airport to Stafford is leg2 of right triangle = 7.6
9.2 miles is hypotenuse of right triangle
Pythagorean theorem:
x^2 + 7.6^2 = 9.2^2
x = ~ 5.2 miles
963.6 rounded to the whole number
Answer:
964.
Step-by-step explanation:
The first digit after the decimal point is 6 so we round up the 3.
Estimate, to the nearest degree, the size of each radian measure in degrees.
a) 2.5
b) 5.2
c) 6.8
B. Just saying, this is an estimate, yet it seems more logical.
Help me pleaseeee 25 points.
area of semicircle + area of square + area of semicircle
I think 149.04 in²
will give brainliest
69 + 420 / 3 = ?
Answer:
hope this will help you
Step-by-step explanation:
69+420/3
first of all divide 420 by 3 which is 140
69+140
then add with 69
209
Answer:
The correct answer should be 209.
Step-by-step explanation:
Also here Is your art my good sir!
One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job
Answer:
20 hrs
Step-by-step explanation:
t = third worker
1 / ( 1/20 + 1/15 + 1/t) = 6
1 = 6/20 + 6/15 + 6/t
3/10 = 6/t
t = 20 hrs
What theorem can be used to prove that the two triangles are similar? A) SSS Similarity Theorem B) SAS Similarity Theorem C) SSA Similarity Theorem
Answer:
C) SSA Similarity Theorem
Step-by-step explanation:
The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.
please solve
5x+3x-2x=
Answer:
hope it help you
Step-by-step explanation:
[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]
Answer:
6x
Step-by-step explanation:
Take x as the common factor and calculate.
5x + 3x - 2xx (5 + 3 - 2)x (8 - 2)6x40 points please give the right answer
Step-by-step explanation:
dk if this makes sense
Please Help! Give full description on how you did both pls. Giving brainleist.
Answer:
7. m^21n^27
8. a^21b^28
Step-by-step explanation:
7. since m^7 raised to the 3rd power = m^( 7 * 3 ) = m^21
then n^9 raised to the 3rd power = n^( 9 * 3 ) = n^27
your answer is m^21n^27
8. a^3 raised to the 7th power = a( 3 * 7 ) = a^21
b^4 raised to the 7th power = b( 4 * 7 ) = b^28
your answer is a^21b^28
hope this helps:)
PLEASE HELP ME IN MY MATH PROBLEM
The values are
.|8|=8|-8|=8-|8|=-8-|-8|=-8First plot two dots on 8
Then rest two on -8
Answer:
See below ~
Step-by-step explanation:
Solving :
|8| = 8|-8| = 8-|8| = -8-|-8| = -8
Three straight lines are shown in the diagram.
310°
a
C
38%
87%
Step-by-step explanation:
______________________The sum of angle at a point is 360° so...
310° + a = 360°
a = 360° - 310°
a = 50°
Now...
here b and 180° are supplementary angle so ....
b = 180° - 80°
b = 100°
Again...
The sum of all angle of triangle is 180° so...
100° + 50° + c = 180°
150° + c = 180°
c = 180° - 150°
c = 30°
______________________Hence...the value of a is 50° , b is 100° and c is 30°...
______________________If x and y vary inversely and x = -9 when y = -30, what is the constant of variation
Answer:
270
Step-by-step explanation:
x = k/y This is an inverse relationship with k = constant of proportion (or variation)
-9 = k/(-30)
k = -9 * -30 = 270
Answer:
Constant of variation = 270.
Step-by-step explanation:
y = k/x
-30 = k / -9
k = -30 * -9
k = 270
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
Work out the percentage decrease in the mass of the chocolate
bar from 2017 to 2018.
Pls help i didn’t understand what the teach said
Answer:
12% decrease
Step-by-step explanation:
given:
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
The difference in mass is 250 - 220 = 30g
30 / 250 = 0.12 which is how much out of the 250g
0.12 x 100 = 12
12% decrease in the mass of chocolate bars from 2017 to 2018.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
According to the question, it is given that
The mass chocolate bar had a mass of 250g in 2017
The mass of the chocolate bar was reduced to 220g in 2018
We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=(250-220)/250×100
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=30/250×100
=0.12×100
=12%
Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.
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109-8
y=-x-5
x - 2y = 4
Plot two lines
Answer:
Given the equations, I plotted 2 lines.
Line 1 Line 2
x | y x | y
0 | 101 0 | -5
1 | 101 1 | -6
which of the following is a true statement
Answer:
The correct answer is the second one.
Step-by-step explanation:
68/5 - 18/5 = 50/5
50/5 simplified is 10
Making the second equation true.
Hope this helps:) Goodluck!
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin. Use the polygon tool to graph the dilated figure.
Answer:
answer is (-2,1), (-1,4), (1,2)
pls mark me as brainliest
find the surface area of the trianlurprisum.
Answer: 56
Step-by-step explanation:
you multitouch answers I think
Factorize (x-q) (2f+k)-f(r-q)
Answer:
..........................
find the value of x in the given figure
Answer:
20
Step-by-step explanation:
2x+3x+4x = 180 degree
9x = 180
X = 20.
The cost of hiring a games console has a one-off cost of £9 plus 50p every day.
Write a formula for the cost (C) in pounds (£) of hiring a games console for f days.
A factory produces a batch of toy vehicles, 1/3 of which are cars and the rest are trucks. trucks have defective ratio of 0.02 and cars have defective ratio of 0.01. the quality inspector picks a toy vehicle at random from the batch and finds out that it is defective. what is the probability that the vehicle was a truck
Answer:
Step-by-step explanation:
b
can u guys help me with this
Answer:
Step-by-step explanation:
A.) 16500 Seconds
B.) 12569 Seconds
C.) 38116 Seconds
D.) 20700 Seconds
E.) 7256
Mr castle shares out 32 marbles between emily and zak in the ratio of 3:1. how much marbles does each child get?
Answer:
Emily=24 marbles Zak=8 marbles
Step-by-step explanation:
sum of ratio= 3+1=4
Emily: Zak= 3:1
no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles
= [tex]\frac{3}{4}[/tex]×32
=24 marbles
No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32
=8 marbles
Please help I’m so tired of zearn
Answer:
3
Step-by-step explanation:
At this stage, you have to isolate x. To do this, you must divide by 7 on each side of the equation. 21/7 is 3.
Hope this helped!