Answer:
Correct answers: Part A: Moe = 2500 + 125n and Meo = 2000 + 150n. Part B: oe: 12 machines; eo: 14 machines. Part C: 20 machines or higher.
PARCC evidence statement(s) tested: HS.D.1-1:
Solve multi-step contextual problems with degree of difficulty appropriate to the course, requiring application of knowledge and skills articulated in 7.RP.A, 7.NS.3, 7.EE, and/or 8.EE.
The evidence statement above references mainly Math Practice 4 in the Common Core:
[MP.4] Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. … By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.
It may also reference other standards of mathematical practice, including MP.1 (make sense of problems and persevere in solving them), MP.2 (reason abstractly and quantitatively), and MP.5 (use appropriate tools strategically).
The question requires students’ prior understanding of the eighth-grade Common Core standard 8.EE.C, found under Expressions and Equations (analyze and solve linear equations and pairs of simultaneous linear equations), which states that they should be able to [EE.C.7] “solve linear equations in one variable” and [EE.C.8] “analyze and solve pairs of simultaneous linear equations.”
Note that the PARCC question referenced here simply uses understanding of these standards from eighth grade, considering this understanding to be securely-held knowledge. The PARCC question in Algebra 1 tests students’ ability to model with mathematics, as referenced in Math Practice 4.
Step-by-step explanation:
A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.
Answer:
1)
4(x+3)+4x=28
Solve
4x+12+4x=28
Combine
8x+12=28
Isolate
8x=16
Isolate
x=2
Substitute
4(2+3)=20
4*2=8
Now find each side
20/4=5
8/4=2
So one side is 5
Other side is 2
5. (0,0) and (-2,-8) Slope=_ Equation=_
Name two planes that intersect in SW in the
figure to the right
Plane XTS and Plane VRS
A option
An elevator is on the 15th floor. it goes down eight floors. What floor is the elevator on now?
Answer:
7
Step-by-step explanation:
15 - 8 = 7
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answer:
B
Step-by-step explanation:
The other are equal
The difference between 31 and a number is 7
Answer:
thirty-eight
Step-by-step explanation:
31+7= answer
Answer:
i think its either 38 or 24
Step-by-step explanation:
Does this graph have 10 or 9 squares, 10 or 9 years, I think I might be going insane
Answer:
10 years
Step-by-step explanation:
if I buy 52 packs of cookies and 16 cookies are in each pack how many cookies do I have all together .
Answer:
68 cookies
Step-by-step explanation:
what is the solution to the equation below?
I need help with this
Answer: option #2
Step-by-step explanation:
each new number equals the previous number x4.
In 1990 the cost of tuition at a state university was 4300. The tuition increased at a rate of 4% each year.
a) How much would it cost to attend in 2010?
b) How much will it cost to attend in 2025?
Answer:
10
20
Step-by-step explanation:
PLS HELP AND EXPLAINNN
Find the area of a circle with a radius of 9
i know the formula but im doing something wrong i need help
Answer:
A≈254 cm^2
Step-by-step explanation:
The area of a circle is given by formula: π r^2
π has a constant value of 3.14 And the radius of the circle is 9 c m
the area= π r^2 = 3.14 x (9)^2 cm^2
= 3.14 × ( 81 )
= 254.34 c m^2
≈ 254 c m^2
Triangle RST, with vertices R(-7,-8), S(-3,-7), and T(-6,-2), is drawn on the coordinate grid below. What is the area, in square units, of triangle RST?
Answer:
12
Step-by-step explanation:
Area of triangle formula is b*a (1/2)=A
b is height for non-right triangles
6*4(1/2)=A
24(1/2)=A
12=A
Can someone Help me with this ? :C and put in the Workings
Calculate the following by long or short division. Give your answers to TWO decimal places.
1.
[tex]456 \div 2[/tex]
2
[tex]538 \div 7[/tex]
Answer: 1. [tex]456\div2 =228[/tex] 2. [tex]538\div7=76.85[/tex]
Step-by-step explanation:
The given division problems :
[tex]1.\ 456\div2[/tex]
[tex]2.\ 538\div7[/tex]
By long division (see the attachment)
1. Divisor= 2
Dividend =456
Quotient = 228
Remainder =0
So, [tex]456\div2 =228[/tex]
2. Divisor= 7
Dividend = 538
Quotient =76.85
so, [tex]538\div7=76.85[/tex]
1 Which point has coordinates (2, 2)?
A. Point A
B. Point C
C. Point F
D. Point G
I NEED THIS NOW PLEASE HELP
Answer:
g
Step-by-step explanation:
Evaluate 1/2t + 3/8 when t = 1/4
Answer:
the answer is seven - eighths i think
Step-by-step explanation:
Answer
1/2
Evaluate: Enter a number for each variable.
1/2t+3/8
Evaluate for t=1/4
1/2 (1/4)+3/8
1/2 (1/4)+3/8
=1/2 or (Decimal: 0.5)
move the numbers to the lines to appear in order from least to greatest.
_,_,_,_,_
|-2/3| , |0.8| , 0.75 , 1/4 , -0.3
Six segments form two triangles. AB = 3 cm, FE =11cm, CB = 9 cm, DE = 9 cm, CA=11 cm, and FD = 3 cm. (a) Write a triangle congruency statement. (b) What postulate guarantees that these triangles are congruent?
Does anyone know the answer to these?? Please answer quickly and please don’t joke around .
My guys got me right? I’m giving brainliest
Answer:
1. 12
2. [tex]\pi[/tex] or about 3.14
3. 4.5[tex]\pi[/tex] or about 14.13
4. 12 + 5.5[tex]\pi[/tex] or about 29.27
Step-by-step explanation:
1. The rectangle is 6 by 2
6 * 2 = 12
2. They would combine to form a circle with radius 1, so [tex]\pi * 1^2[/tex] = [tex]\pi[/tex], or if you use 3.14 for pi you get 3.14
3. The radius is 3 and it's half of a full circle, so
[tex]\pi * 3^2 / 2= 4.5\pi[/tex], or if you use 3.14 for pi you get 14.13
4. Adding all of these together, you get 12 + 5.5[tex]\pi[/tex] or if you use 3.14 for pi you get 29.27
plz help me or dont lol
Answer:
x = 8
Step-by-step explanation:
:)
Answer:
8
Step-by-step explanation:
I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).
so 4x-6 = 7x-30
moving like terms together,
7x-4x = -6 + 30
3x = 24
x = 24/3
x = 8
FIRST ONE TO GIVE ME A CORRECT ANSWER GETS BRAINLIEST
Answer:
y-4=5
add 4 on both sides
you get y = 9
replace y with 9
9 - 4 = 5
final answe is 5=5
How many of the 100 bin A items can be recycled at a specialized center?
[tex](\frac{1}{4} m^{2} n)^{3} * (-32m^{2}n)[/tex]
PLEASE PROVIDE AN EXPLANATION, I'M UNSURE OF HOW TO FIND THE ANSWER
Answer:
[tex]\bold{(\frac14m^2n)^3*(-32m^2n)=-\frac12m^8n^4}[/tex]
Step-by-step explanation:
[tex](\frac14m^2n)^3*(-32m^2n)=\\\\=(\frac14)^3*(m^2)^3*n^3*(-32)*m^2*n=\\\\= \frac1{64}*m^{2\cdot3}*n^3*(-32)*m^2*n=\\\\= \frac1{64}*(-32)*m^{6}*m^2*n^3*n=\\\\=-\frac{32}{64}*m^{6+2}*n^{3+1}=\\\\=-\frac12m^8n^4[/tex]
A pre-election survey showed that 3 out of every 5 citizens would vote in an election. At this rate, how many people would be expected to vote if there are 16,000 citizens in a city? 2,600 people
Answer:
9600 people would vote.
Step-by-step explanation:
3/5 = .6
16,000 * .6 = 9600
A right rectangular prism has edge lengths of 1 1/3 inches, 2 inches, and 1 2/3 inches. What is the volume of the prism?
Answer:
264/9 = 29.34
Step-by-step explanation:
(11/3)*(12/3)*2
Answer:
29.34
Step-by-step explanation:
What is the coefficient in the inequality 3x=10?
Clint completly filled his 18 gallon tank of gas with regular fuel for 55.08. As he left the gas station he noticed the station arcross the street sold regular fuel for 2. 99 Per gallon how much money could have clint saved per gallon is he had gone to the station across the street
Answer: 1.26
Step-by-step explanation:
Since he bought a 18 gallon tank of gas with regular fuel for 55.08.
The station across the street sold regular fuel for 2.99 per gallon. A 18 gallon tank will cost:
= 18 × 2.99
= 53.82
The amount that could have been saved would be:
= 55.08 - 53.82
= 1.26
Find the missing lengths. Leave answer in simplest radical form.
Help I don’t get it
Math
Answer:
Thats right
Step-by-step explanation:
You typed the right answer :/