Answer:
Step-by-step explanation:MATHEMATICAL GOALS
This lesson unit is intended to help assess how well students are able to interpret and use scale
drawings to plan a garden layout. This involves using proportional reasoning and metric units.
COMMON CORE STATE STANDARDS
This lesson relates to the following Standards for Mathematical Practices in the Common Core State
Standards for Mathematics, with a particular emphasis on Practices 1, 3, 4, 5, and 6:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
8. Look for and express regularity in repeated reasoning.
This lesson gives students the opportunity to apply their knowledge of the following Standards for
Mathematical Content in the Common Core State Standards for Mathematics:
7.G: Draw, construct, and describe geometrical figures and describe the relationships between
them.
Solve real-life and mathematical problems involving angle measure, area, surface area,
and volume.
7.EE: Solve real-life and mathematical problems using numerical and algebraic expressions and
equations.
7.RP: Analyze proportional relationships and use them to solve real-world and mathematical
problems.
INTRODUCTION
This lesson unit is structured in the following way:
• Before the lesson, students work individually on a task designed to reveal their current levels of
understanding. You review their responses and create questions to help them improve their work.
• At the start of the lesson, students reflect on their individual responses, before producing a
collaborative improved solution to the task. Then, in the same small groups students analyze
sample responses. They then discuss as a whole-class the methods they have seen and used.
• In a follow-up lesson, students reflect on their work. If time allows, an extension task is available.
MATERIALS REQUIRED
• Each student will need a copy of Design a Garden and Garden Plan, some blank paper, a miniwhiteboard, pen, and eraser, and the How Did You Work? questionnaire. The Garden Plan should
be copied at exactly 100% scale so the measurements are accurate. If this is not possible,
photocopy the rules on S-3, one rule per student, which should then match the Garden Plan
measurements. It will be useful to have spare copies of the Garden Plan.
• Each small group of students will need a new copy of the Garden Plan, the Assistants’ Methods, a
glue stick, felt-tipped pen, and a sheet of poster paper. For the optional extension Mandy’s Second
Email will be needed. Provide short rules, meter rules, string, protractors, scissors, glue, card,
plain paper, graph paper, and colored pencils for students who choose to use them.
TIME NEEDED
20 minutes before the lesson, a 110-minute lesson (or two 60-minute lessons), and 10 minutes in a
follow-up lesson. Actual timings will depend on the needs of your students.
Write the linear equation in slope-intercept form.
-6x + y = 19
Solve the equation -2(y - 1) = 9.
-11/2
7/2
11/2
-7/2
Answer:
-7/2
Step-by-step explanation:
Use distributive property: a(b +c) = a*b +a*c
-2(y-1) = 9
y*(-2) - 1*(-2) = 9
-2y + 2 = 9 {Subtract 2 from each side}
-2y = 9 - 2
-2y = 7 {Divide each side by -2}
y = 7/-2
y = -7/2
A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?
Answer:
4 kilometrs
Step-by-step explanation:
if you add the 2 to another 2 you get four
Answer:
4 kilometres
Hope this helped!
The designers of drink cartons must consider the length of the straw required so that it will reach the bottom
of the carton. We will make the following assumptions:
-the straw must stick out of the carton by an additional 1.5 cm
-the hole is at one vertex of the carton
-the straw must be able to reach into the diagonally opposite corner of the base of the carton
use the formula a^2+b^2+c^2=d^2
CHECK IMAGE FOR VISUAL REPRESENTATION OF THE CARTON
Answer:
The length of the straw is 13.53 cm
Step-by-step explanation:
Rectangular Prism
A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.
If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:
[tex]d^2= a^2+b^2+c^2[/tex]
Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:
[tex]d^2= 6^2+10^2+4^2=36+100+16=152[/tex]
[tex]d=\sqrt{152}[/tex]
d= 12.33 cm
The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm
Answer:
the answer is right above me
What value of x is in the solution set of 8x - 6 > 12 + 2x?
0 -1
оо
0 3
O 5
Answer:
3 is the correct answer
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
8*x-6-(12+2*x)>0
6x - 18 = 6 • (x - 3)
The value of the inequality is x > 3 , which is 5
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
8x - 6 > 12 + 2x
Subtracting 2x on both sides , we get
6x - 6 > 12
Adding 6 on both sides , we get
6x > 18
Divide by 3 on both sides , we get
x > 3
So , the value of x is numbers greater than 3
Hence , the inequality is x > 3
To learn more about inequality equations click :
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PLEASE HELP FAST ITS TIMED! I Will Give Brainlist And Extra Points!
Answer:
-8, -5
Step-by-step explanation:
the answer to number one is -8. For functions, you just plug in the number in the parenthesis for x and then you solve. For number two, it is -5.
Answer:
-8, -5
Step-by-step explanation:
4x+8 =20
- 4x + 2y = -30
Answer:
first one is x=3
Step-by-step explanation:
question 15: Given l∥m, find the value of x.
Answer:
x=8
Step-by-step explanation:
the addition of all the angles must equal 360(the 4 angles on the intersection) degrees
125+125=250
360-250=110
110/2=55
7*8-1=55
At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?
Answer:
30 degrees
Step-by-step explanation:
If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30
Please brainlist!
Which statement is shown about the graphs shown?
Answer: In A it seems that everything got higher and higher by each number going up and that it kept going while in B it din't start in 0 but more between the middle of 1 and 2 and in the end of it, it doesn't go as high as A. Hope this helped
Step-by-step explanation:
PLZZZ HELPPP I WILL GIVE YOU BRAINLESS ‼️‼️
Which gives the correct values for points A, B, C, and D?
A number line going from negative 2 to negative 1. There are 5 equal spaces between the numbers.
A = negative 1 and one-fifths, B = negative 1 and two-fifths, C = negative 1 and three-fifths, D = negative 1 and four-fifths
A = negative 1 and one-fifths, B = negative 1 and four-fifths, C = negative 1 and three-fifths, D = negative 1 and two-fifths
A = negative 1 and four-fifths, B = negative 1 and three-fifths, C = negative 1 and two-fifths, D = negative 1 and one-fifth
A = negative 1 and four-fifths, B = negative 1 and one-fifth, C = negative 1 and three-fifths, D = negative 1 and two-fifths
Answer:
the thrid one
Step-by-step explanation:
bc its all correct like i went over all of it and its correct glad to help bro!!!!!
Answer:
c
Step-by-step explanation:
I need help..........
Answer:
Step-by-step explanation:
lol
you need help...
XD
How much closer to the sun is one planet than the other?
Answer:
C. 7.79 x 10^8
Step-by-step explanation:
Your Equation: (eight-point-one multiplied by ten to the eighth power) subtracted by (nine-point-one multiplied by ten to the seventh power)
so first we find out how much are in the parentheses :D
(8.7 x 10^8) = 870,000,000
(9.1 x 10^7) = 91,000,000
now you subtract 870,000,000 by 91,000,000.
870,000,000
- 91,000,000
---------------------
779,000,000
converted back to standard form...
7.79 x 10^8
(seven and seventy-ninths multiplied by ten to the eighth power)
<3 Enjoy,
Dea
Answer:
i think the answer if C if y get it wrong im sooo sorry
please help what is the value of u
Answer:
34
Step-by-step explanation:
It is an isosceles triangle.
112 + u + u =180 {Angle sum property}
112 + 2u = 180
2u = 180 - 112
2u = 68
u = 68/2
u = 34
How do you write -2.16 as a fraction?
The choices are up there
Answer:
i got -2 4/25
Step-by-step explanation:
i think i might be wrong
Answer:
the answer is the 1st its a positive and if not then its the 2nd one
Step-by-step explanation:
In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2
Answer:
Step-by-step explanation:
AB/AC =1/2
(3x-4)/(2x+12)=1/2
2(3x-4) = 1(2x+12)
6x-8=2x+12
4x=20
X=5
AC/BC =3x-4/7x-2=22/33=2/3
AB/AC=3x-4/7x-2=22/33=2/3
AB/AC=3x-4/2x+12
6x-8=2x+12
You would get 4/5 still trying to work out the last mark
Step-by-step explanation:
First find x:
AB:AC=1:2
2(3x-4)=2x+12
6x-8=2x+12
4x-8=12
4x=20
x=5
Substitute:
AC=2x+12
=(2x5)+12
=10+12
=22
BC=7x-2
=(7x5)-2
=35-2
=33
22/33=2/3
Therefore AC:BC = 2:3
Tools -
Question 9
Which expression is equivalent to (x-2)(x - 1)?
A
x²-3x-2
B
x² - 2x-3
с
x²-3x+2
D
x² - 2x + 3
Answer:
I think It is C or A
Step-by-step explanation:
Answer:
def
Step-by-step explanation:
d. If the speed of a body is increased four times, how will its kinetic energy be affected?
Show by calculation.
e. By how many times will the kinetic energy of a body increase if its speed is tripled?
Show by calculation.
f. What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?
Is in less time than B. who has more power
Answer:
E
Step-by-step explanation:
please help. problem involving magic squares
Step-by-step explanation:
First, let us find the magic sum in each row/column/diagonal.
Sum of numbers from 1 to 9 = 45.
45 divide by 3 rows = 15 each row.
The magic sum is 15.
For the diagonals, we have:
8 + 5 + x = Magic sum = 15,
6 + 5 + y = Magic sum = 15.
Therefore x = 2 and y = 4.
2.5 years = (how many weeks)
Answer:
130.357 weeks
Step-by-step explanation:
Determine which number would satisfy the inequality 3y-8>22. Choose all that apply.
A. 13
B. 0
C. -5
D. 10
E. 11
Answer:
my best guest would be only 10
Step-by-step explanation:
There are 13, and 11 are would satisfy the given inequality 3y - 8 > 22. The correct answer would be options (A), and (E).
What is inequality?An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question, as follows:
3y - 8 > 22
We have to determine which number would satisfy the inequality.
As per the question, we have
⇒ 3y - 8 > 22
Add 8 both sides of the above inequality,
⇒ 3y - 8 + 8 > 22 + 8
⇒ 3y > 30
Divided 3 into both sides of the inequality, we get
⇒ y > 30/3
⇒ y > 10
So, we can conclude that 13, and 11 would satisfy the inequality.
Hence, the correct answer would be options (A), and (E).
Learn more about inequalities here:
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PLZ HELP The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region. What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it 25?
Step-by-step explanation:
WILL MARK YOU BRAINLIEST ANSWER 1-3 plz
Answer:1)52
2)13
3)22
Step-by-step explanation
The answer to each part is mentioned below -
P = 72RU = 16SU = 22What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a kite TSVU as shown in the image.
{ 1 } -
UT = ST = 20
Perimeter of ΔSUT will be -
P = ST + TU + SU
P = 20 + 16 + 16 + 20
P = 72
{ 2 } -
Perimeter of ΔSUV will be -
P = SV + SU + VU
38 + 26 + VU = 102
VU = 38
ΔSUV ≅ ΔRUV
RU = SR = 16
{ 3 } -
ΔSUV ≅ ΔRUV
SR = RU
4x - 1 = x + 8
4x - x = 8 + 1
3x = 9
x = 3
SU = SR + RU
SU = 4x - 1 + x + 8
SU = 12 - 1 + 3 + 8
SU = 22
Therefore, the answer to each part is mentioned below -
P = 72RU = 16SU = 22To solve more questions on kites, visit the link below -
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Problem
Choose the inequality that represents the following graph. 32 points
Answer:
D
Step-by-step explanation:
cause its going bigger, but it also has 0 in the line so it could have 0 in it. So its D
aquelyn’s earning m are a function of the number of lawns n she mows at a rate of $12 per lawn
Answer:
m = 12n
Step-by-step explanation:
M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.
One admission to an ice skating rink costs x dollars, and renting a pair of ice skates costs y dollars. Your friend says she can determine the exact cost of one admission and one skate rental. Is your friend correct
The true statement is that your friend's claim is correct
What is a linear function?The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope
A linear function is represented as:
[tex]y=mx+c[/tex]
The costs are given as:
Admission costs $xA pair of ice skates costs $ySo, the cost of one admission and one skate rental is:
[tex]Cost = x + \frac y2[/tex]
Hence, your friend's claim is correct
Read more about linear functions at:
https://brainly.com/question/14323743
Which of the following best describes the Great Compromise?
A.
Only three-fifths of slaves in the southern states would be counted in the population used to assign the number of representatives in Congress.
B.
Congress would hold the power to levy taxes, but the individual states would determine how the taxes would be collected and paid to the federal government.
C.
The president would be indirectly elected by a super-majority (three-fifths) vote of the state legislatures.
D.
The states' representation in the lower house of the legislature would be divided according to population, and all states would be represented equally in the upper house.
Answer:
D.
Step-by-step explanation:
the Senate where each state has two Senators, and the House of Representatives where each state has a number of Representatives based on population.
50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answer:
Southwest
Step-by-step explanation:
Southwest always has good timing.
Answer:
SouthWest airlines
Step-by-step explanation:
It is the best Airlines and will always arrive on time
Complete the table below for the function y 3.2 0. 0 1 2 3
7 divided by 5 over 8
Answer:
Step-by-step explanation:
7÷ 5/8 change to multiplication and flip the fraction
7*8/5 place 7 over 1
7/1*8/5 multiply
56/5 or 11 1/5