The system of equations that represents the imposed constraints is given as follows:
[tex]g + t \leq 10[/tex][tex]g \leq 1, t \leq 1[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
g = the number of hours a student spends in a week painting over graffiti.t = the number of hours a student spends in a week picking up trash.A student may not serve more than 10 total hours per week, hence:
[tex]g + t \leq 10[/tex]
A student must serve at least 1 hour per week at each task, hence:
[tex]g \leq 1, t \leq 1[/tex]
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3. Classify the angle pair using all the names that apply.
2
Angles that are directly across from each other and created from intersecting lines are called vertical angles. Vertical angles are congruent.
Hope this helps!
translation: 6 units right and 2 units down
D(-5, 1), E(-5,2), F(-1, 3), G(-1, -1)
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Hope this helps!
Answer:
See below.
Step-by-step explanation:
A translation of 6 units right is 6 added to the x-coordinate.
A translation of 2 units down is a 2 subtracted from the y-coordinate.
Are D through G answer choices, or are you supposed to do the above translation to those 4 points?
I NEED HELP!!!
Find the value of A,B,C,D,E,F,G,H
Answer:
A = 33
B = 38
C = 5
D = 18
E = 30
F = 79
G = 56
H = 170
Step-by-step explanation:
See attached image.
There are 5 cups of oatmeal in a container. Stella eats 1/3 cup of oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container?
Answer:
15 days
Step-by-step explanation:
Since there are 5 cups and she eats it 1/3 times a day if you think about it, its like 5 times 3.
A cylinder has a height of 7 millimeters and a diameter of 6 millimeters. What is its volume?
Step-by-step explanation:
you could not find the formula ?
the volume of a cylinder is ground area × height.
and the ground area is a circle.
so, in total, we have
pi×r²×h
r being the radius (half the diameter), h being the height.
therefore, the volume of the given cylinder is
pi×(6/2)²×7 = pi×3²×7 = pi×63 = 197.9203372... mm³
A circular table top has a radius of 75 cm. A force of 640 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.
The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.
Calculation of applied pressure on a surfacePressure= force/area
Area of the circular table = πr²
where r = 75cm = 0.75m
Area of the circular table = 3.143 × 0.75 × 0.75
= 1.768m²
Force = 640 N
Pressure = 640/1.768
= 361.99
= 361.9 N/m² to 4 significant figures.
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Which is the warmest temperature? EXPLAIN HOW YOU DETERMINED THIS USING THE NUMBER LINE
Answer:
When we think of the number line -5 is the coldest temperature on the number line. -5 -4 -3 -2 -1 0 1 2 3 -5 °C is the coldest temperature and 2 °C is the hottest temperature.
X
у
2
9
5
10
7
09
5
12.
3
16
2
O A. y=-10.671X+0.580
O B. y= 10.671x-0.580
O C. y=0.580x-10.671
O D. y=-0.580x + 10.671
SUBMIT
HELPPPPPPPPPPPPPPPPPPPPPPPP ASAP
Answer:
The answers are D and then B.
Step-by-step explanation:
The first question asks which team has the youngest members on average. This is easily answered because the "mean" is simply the average of all the ages. Therefore the youngest "mean" age will also have the youngest members on average.
The second question asks what team has the most variability in ages. Range is the difference between the highest and lowest number. Therefore the team with the highest range should, logically, also have the most variability.
the eighth grade at byrnade Junior high school has 464 students. There are 212 more boys than girls. how many boys are there?
Answer: 338 boys
1) Formulate an equation
The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.
2) Isolate the variable
Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.
3) Plug the variable
Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.
chose the measurement that is about 12 feet.
the height of a house
the length of a 5 dollar bill
the width of a bed
Answer:
'12 feet'
Step-by-step explanation:
Of these threee measurements, '12 feet' is closest to the height of a house.
Need help! i have no idea how to do domain and range!!!://
Step-by-step explanation:
Dude THE Values for graph are given or not
PLEASE HELP
the coordinate grid shows the plot of four equations
Which set of equations has 2,2 as its solution
A AND D
B AND D
A AND C
B AND C
. Mark drove 180 miles in 3 hours at
a constant speed. Let D equal the
distance traveled and t equal the time
traveled. Which of the following is
the constant of proportionality?
A) 3, as in D=3t
B) 60, as in D=60t
C) 180, as in D=180t
D) 540, as in D=540t
Answer:
d = 60t
Step-by-step explanation:
distance = d
time = t
every hour 60 miles are travelled so its 60t
referring to 60*time eg 60*3 = 180
Who burned down Constantinople?
O barbarians
O crusaders
o Egyptians
o Turks
Answer:
The Turks burned down Constantinople
does anyone know what mathia is?
Answer:
I think its some sort of learning platform. Search it up.
Step-by-step explanation:
What is the value of n when 2/3 of n equals 42?
Valeria's living room is 9 meters wide and 10 meters long. She wants to install green carpet that costs $5.00 per square meter. How much will it cost to buy enough carpet for the living room?
Answer:
$450
Step-by-step explanation:
cost = area × price per square meter
cost = LW × $5/m²
cost = 90 m² × $5/m²
cost = $450
Answer:
$450
Step-by-step explanation:
9x10=90 meters
90x5=$450
Can someone please help me??? Due today! WILL GIVE BRAINLIEST!!! (Please complete both!) (1&2) there is one in the photo and one below
1. Multiply four and eight tenths multiplied by three.
1. thirteen and one tenth
2. thirteen and four tenths
3. fourteen and two tenths
4. fourteen and four tenths
Answer: 20 over 4 or 4/20
Step-by-step explanation: I belive this is you answer for number 2.
please help me answer this question!!!!
Answer:
4³ and 4 · 4 · 4
Step-by-step explanation:
4³ is the same as 4 · 4 · 4 (or 4 three times).
First We Need To Solve All The Expression:-
Expression (1)[tex](4) {}^{3} \\ = 4 \times 4 \times 4 \\ = 64[/tex]
Expression (2)[tex]( {3})^{4} \\ = 3 \times 3 \times 3 \times 3 \\ = 81[/tex]
Expression (3)[tex]\: \:\: \:4 \: ·4 \: ·4 \\ = 64[/tex]
Expression (4)[tex]\: \:\: \:3 \: · \: 4 \\ = 12[/tex]
[tex] \therefore \text{We Can See \underline{Expression (1)} And \underline{Expression (3)} are same}[/tex]
Hope This Helpswhat is the range of the data set 95,86,78,80,91
Answer:
17
Step-by-step explanation:
Range = Highest Value - Smallest Value
95 - 78 = 17
Answer:
17
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range.
95 - 78 = 17
Which quantity is proportional to 40⁄8?
Check all that are true.
10⁄5
120⁄36
20⁄4
5⁄1
120⁄24
Answer:
Step-by-step explanation:
10/5: not part of the answer. This gives 2. The original ratio gives 5.
120 / 36 is not part of the answer. This gives 3 1/3 which is not 5
20/4 true This gives 55/1 true. This gives 5120/24 true. This gives 5The last 3 are the only ones you should choose.
Pls help me look at the picture for the question pls
Answer:
D
Step-by-step explanation:
[tex]y=-3x-14[/tex] is a function as it has:
The input (x-values)A relationship (multiply the x-value by -3 then subtract 14)The output (y-value)Linear equation in slope-intercept form: [tex]y=mx+b[/tex]
where:
m = slopeb = y-interceptTherefore, for equation [tex]y=-3x-14[/tex]
The slope is -3The y-intercept is -14So as the equation is a linear equation, its graph is a straight line.
Therefore, the only statement that is NOT true is D as the y-intercept is -14 (not 14).
Which statement describes the value of the expression below?
67x1/6
[tex] \frak{ \dfrac{67}{6} }[/tex]
Answer: 33.5
Step-by-step explanation:
For tanisha's lemonade recipe, 14 lemons are required to make 7 cups of lemonade. at what rate are lemons being used in lemons per cup of lemonade?
PLEASE HELP ASAP WITH HOW U DID IT WILL MARK BRAINLIST!!!
9.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost
43¢ to mail a letter to a Canadian address in 1988, what (to the nearest penny) did it
cost in 1938?
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988
Let x represent the cost of mailing the letter in 1938, hence:
x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
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For which value of theta is sine theta = negative 1?
A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant.
StartFraction pi Over 2 EndFraction
Pi
StartFraction 3 pi Over 2 EndFraction
2 pi
or (A.K.A)
For which value of ∅ is sin∅ = -1?
A. /2
B.
C. 3/2
D. 2
Check the picture below.
If the sin θ is equal to the negative one then the value of the θ will be 3π / 2. Then the correct option is C.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A unit circle is shown.
A radius with length 1 forms angle θ in the first quadrant.
Then the sin θ is equal to the negative one. Then the value of the θ will be
sin θ = -1
Then it can be written as
θ = sin⁻¹ (-1)
θ = 3π / 2
Thus, the correct option is C.
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solve the system:
y=5
3x+y=2
solve the system:
y=5
4x-y=7
solve the system:
2x+y=12
3x-y=3
HELP PLEASE
Answer:
3x+5=2
3×=2- 5
3x= -3
x=-1
4x-5=7
4x=7+5
4x=12
4x÷4=12÷4
x=3
2x+5=12
2x=12-5
2x=7
2x÷2=7÷2
x=3.5
3x-5=3
3x=3+5
3x=8
3x÷3=8÷3
x=2.6
Please help!
Find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
The lateral area of the triangular prism is: 720 in.²
The surface area of the triangular prism is: 840 in.²
What is the Lateral Area of a Triangular Prism?Lateral area of a triangular prism (AL) = (a+b+c)h
What is the Surface Area of a Triangular Prism?Surface area of a triangular prism (SA) = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
a. Lateral area of a triangular prism:
a = √(17² - 15²) = 8 in.b = 15 in.c = 17 in.h = 18 in.Lateral area of triangular prism (AL) = (8 + 15 + 17)18 = 720 in.²
b. Surface area of a triangular prism:
s1 = 8 in.s2 = 15 in.s3 = 17 in.L = 18 in.b = 8 in.h = 15 in.Surface area of triangular prism (SA): (S1 + S2+ S3)L + bh = (8 + 15 + 17)18 + (8)(15) = 840 in.²
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Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN
Answer:
They are not equivalent.
Step-by-step explanation:
5(3a+2)=15a+10
15a+10≠15a+2
Answer:
not equivalent.
Step-by-step explanation:
5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.
15a+10≠15a+2
if you wanted to go further, since 15a is equivalent, just take it out.
10≠2