Considering a rectangular plot measuring 16 by 25 feet in a community garden the equation that models the the number of tomato plant and the number of pepper plant is 8x + 5y = 400
How to write the model of number of tomato plant and pepper plantgiven data
a rectangular plot measuring 16 by 25 feet
area to grow tomato plants = 8 square feet
area to grow pepper plants = 5 square feet
From the given data the total area is
Area = 16 * 25
Area = 400 square feet
let the number of area required by tomato plant be x and the area required by pepper plant be y
The equation that models how many tomato plants and how many pepper plants you can grow can be written as
8x + 5y = 400
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Are 36²y²-25y and 11x²y² equivalent?
Answer: No both equations dont have x
Step-by-step explanation:
A transversal interersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of a pair of same-side exterior angles (consecutive exterior) are 10w and 5v. What are the values of w and v?
Answer: [tex]v=6, w=15[/tex]
Step-by-step explanation:
The pair of alternate interior angles are congruent, so [tex]5v=2w \implies 10w=25v[/tex].
The consecutive exterior angles are supplementary, so
[tex]10w+5v=180\\\\25v+5v=180\\\\\\30v=180\\\\v=6\\\\\implies w=2.5(6)=15[/tex]
One of the humpback whales in a pod has a maximum speed of 690 meters per minute. If
the whale is swimming south at one-third of its top speed, how far will the whale travel in
4 minutes?
Write your answer as a whole number.
690 ÷ 3 = 230
230 × 4 = 960
a whale will go 960 meters
Rose's stamp collection is 7 less than half of Van's stamp collection, x.
Which expression represents the total number of stamps that Rose has?
Responses
7−1/2x
7 minus fraction 1 half end fraction x
7x−1/2
7 x minus fraction 1 half end fraction
1/2−7x
fraction 1 half end fraction minus 7 x
1/2x−7
Answer: 1/2x - 7
Step-by-step explanation:
1/2x represents half of Van's stamp collection and Rose has 7 less than that.
'less than' is telling you to subtract, so the answer is 1/2x - 7
Answer: 1/2x - 7
Step-by-step explanation:
1/2x represents half of Van's stamp collection and Rose has 7 less than that.
'less than' is telling you to subtract, so the answer is 1/2x - 7
yuckyew DID THIS! NOT ME!
Identify the vertex, min/max values, and x-
intercepts. Then graph.
y=x²-1
x-intercepts; plug in 0 for y and then solve
0 = x^2 - 1
1 = x^2; x = -1 & x = 1
vertex; (0,-1); the only translation was the point was moved down one unit
min/max; the graph does not have a max because it is a positive graph w/ positive infinity. The minimum would be (0,-1), the lowest point.
! For graphing I recommend using desmos.
Write in exponential notation.
(-6)(-6)(-6)(-6) =
Answer:
[tex] ( - 6) {}^{4} [/tex]
Step-by-step explanation:
-6 is being multiplied repeatedly 4 times so
[tex]( - 6) {}^{4} [/tex]
Four friends go to a theater and sit in a row. What is the probability that two of them, Nathan and Violetta, are NOT neighbors?
Answer: 3/4 im pretty sure
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation:
When Violetta goes first, their are 4/24 possibilities. Same for Nathan.
The rest are just both 2/24 possibilities. Therefore, the answer is 1/2.
-w/5 + nine = thirteen
Answer:
w=-20
Step-by-step explanation:
-w/5+9=13
-w/5=-1/5w
-1/5w+9=13
Subtract 9 on both side
Multiply both sides by -5/1
w=-20
1. Complete the following transactions and explain how they would appear in your register.
• You open your bank account on April 16 with a tax refund check of $145.00.
• You pay SellUPhone $65.34 on April 18. (Check 794)
• You deposit your paycheck on April 23. ($9.76/hour for 35 hours)
• You buy $61.32 (4% sales tax not included) in clothes from BargainsRUs on April 24
using your debit card.
The following banking transaction completed will appear in the register as follows:
DATE COMPUTATION BALANCE ($)
April 16 145.00 145.00
April 18 145.00-65.34=79.66 79.66
April 23 79.66+(9.76)(35)=421.26 421.26
April 24 421.26-(61.32)(1.04)=357.49 357.49
What is a banking transaction?Any money that transfers into or out of your bank account is considered a bank transaction. Cash withdrawals and deposits, cheques, internet payments, debit card charges, wire transfers, and loan payments are all examples of bank transactions.
In most contexts, the term "register" refers to the process of documenting an event, transaction, name, or other information, or an accumulation of recorded data, often comprising historical events, transactions, names, or other information. Alternatively, the phrase can refer to a record of all debit account charges.
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.Higher Order Thinking Ari walked 22 miles
at a constant speed of 2 miles per hour. Beth
walked 1 miles at a constant speed of
1 miles per hour. Cindy walked for 1 hour
and 21 minutes at a constant speed of
1 miles per hour. List the three people in order
of the times they spent walking from least time
to greatest time.
The three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .
In the question ,
it is given that
Ari walked a distance of 22 miles with speed of 2 miles per hour .
Beth walked a distance of 1 mile with the speed of 1 mile per hour.
Cindy walked for the time 1 hour and 21 minutes .
converting 21 minutes to hours , we get
= 1 hr 21 min
= 1+21/60
= 27/20
= 1.35 hours ....(i)
time required for Ari to walk 22 miles with speed of 2 miles per hour is
time = distance/speed
time = 22/2 = 11 hours ...(ii)
time required for Beth to walk 1 miles with speed of 1 miles per hour is
time = 1/1 = 1 hours ....(iii)
From equation (i) , (ii) and (iii) ,
the order of the time they spent walking from least to greatest time is
1 hours < 1.35 hours < 11 hours
Therefore , the three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .
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Can someone please help ASAP assignment due tomorrow!
No 4.
The area of the large square = 9/4 square inches
There is a total of 25 small equally sized squares inside the large square.
The shaded portion given contains 4 such small equally-sized squares. This shaded portion has an area of 9/25 square inches.
We will first find the area of one small sized square and then will use it to find the area of the large square as the large square is made of 25 such small squares.
That is, area of 4 small squares = 9/25
So area of one small square = Area of 4 small squares/ 4
= (9/25)/4
= 9/(25 x 4)
= 9/100 square inches
Now to find the area of the large square, multiply the area of one small square with the total number of small squares contained in the large square.
That is, Area of the large square = (9/100) x 25
= 9/4 square inches
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Write an equation of a line parallel to y = 2x - 1 that passes through the point (-3, 1)
The equation of the parallel line to y = 2x - 1, that passes through (-3, 1) is: y = 2x + 7.
How to Write the Equation of Parallel Lines?Two lines that are parallel to each other would always have the same slope (m). In the slope-intercept form of the equation that represents a line, y = mx + b, the slope of the line is represented as "m", while the y-intercept is represented as b.
Given:
A point (-3, 1)
Equation, y = 2x - 1. The slope (m) = 2. Since parallel lines have the same slope (m), therefore, the line that passes through (-3, 1) also have a slope (m) = 2.
Substitute (x, y) = (-3, 1) and m = 2 into y = mx + b:
1 = 2(-3) + b
1 = -6 + b
1 + 6 = b
b = 7
To write the equation of the parallel line to y = 2x - 1, substitute m = 2 and b = 7 into y = mx + b:
y = 2x + 7.
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Find a formula for the exponential function passing through the points (-2, 4/9) and (3,108)
Answer:
[tex]f(x)=4(3)^x[/tex]
Step-by-step explanation:
Let [tex]f(x)=ab^x[/tex].
Then,
[tex]ab^{-2}=\frac{4}{9} \\ \\ ab^3=108 \\ \\ \frac{ab^3}{ab^{-2}}=\frac{108}{4/9} \implies b^5=243 \implies b=3 \\ \\ \therefore a(3)^3=108 \\ \\ a=4 \\ \\ \therefore f(x)=4(3)^x[/tex]
The diagonal of a triangle measures 18.2 inches. The width is 6.7 inches. What is the perimeter of the rectangle? (This has to do with Pythagorean Theorem)
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{18.2}\\ a=\stackrel{adjacent}{6.7}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{18.2^2 - 6.7^2}=b\implies \sqrt{286.35}=b\implies 16.92\approx b[/tex]
In a small town, the population increased from 25,000 people in 2010 to
32,000 people in 2020. What is the percent increase in population? What is the answer
Answer:32000 - 25000 =7000 increase percentage = increase amount
Step-by-step explanation:
5:2:11=___:6____
Can you please help me I am stuck
Is 1270.8 cm significantly high?
A. No, because it is below the lower limit separating value.
B. Yes, because it is between the limits separating values.
C. No, because it is above the upper limit separating value.
D. No, because it is between the limits separating values.
E. Yes, because it is above the upper limit separating value.
F. Yes, because it is below the lower limit separating value.
To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb.
How do you identify the limits separating values that are significantly low or significantly high?To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb. Males had pulse rates with a mean of 69.6 beats per minute and a standard deviation of 11.3 beats per minute, according to Data Set 1 "Body Data" in Appendix B.
A limit exists a specific value to which a function approaches. Estimating a limit usually means finding what value y exists as x approaches a certain number.
Therefore, the correct answer is option A. No, because it is below the lower limit separating value.
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Find the area of the following polygon if AB= 12 cm, AC = 2.4 cm, CE = 6 cm, AD 4.8 cm, CF = GE = 3.6 cm, DH = 2.4 cm. =
Answer:
50.40 cm2
Step-by-step explanation:
Area of the polygon AFGBH = Area of ∆ACF + Area of rectangle FCEG + Area of ∆GEB + Area of ∆ABH
= 3.6 cm2 + 4.32 cm2 + 21.6 cm2 + 6.48 cm2 + 14.4 cm2
= 50.40 cm2
Hence, the required area = 50.40 cm2.
Find the circumference of a circle with
diameter, d = 7.65m.
Give your answer rounded to 2 DP.
Answer:
24.03
Step-by-step explanation:
We know that the formula is pie squared times radius but the radius is half of the diameter but you can also do pie times diameter and get the same answer.
Simplify (-4b)(-19b).
76b
-76b
766²
-76b²
200-80/1 or (as shown on the sheet)
200-80
------------
1
Answer:
120
Step-by-step explanation:
200 - 80 = 120
so 120 / 1 = 120
Answer:
200-80/1 which means (200-80) divided by 1
200 and 80 is in bracket so we solve it first:
200-80=120
now 120/1= 120
Please mark as brainliest
between 1/4 aand 9/2 which fraction is greater
Answer: the answer is 9/2
ndiba wants to buy a wagon that costs $217. how much change does he receive if he gives the cashier $250?
Answer:
change = $33
Step-by-step explanation:
ndiba wants to buy a wagon that costs $217. how much change does he receive if he gives the cashier $250?
250 - 217 = change
change = $33
{assuming no sales tax]
2 In (x - 5) = In (x + 10) + In 4
answer:
the solution is: x = 15
Just in need of help please
The complete details on the table are
Shape: Length Height Area of 1 Number Total area
Square 12 12 144 1 144
Triangle 12 15 90 4 360
The surface area is 504 square inches
How to determine the surface area?The square prism represents the given parameter
On the figure, we have the following highlights:
Shape: Square
Number of shapes = 1Base length = 12 inchesHeight = 12 inchesAlso, we have
Shape: Triangle
Number of shapes = 4Base length = 12 inchesHeight = 15 inchesThis means that
Area of 1 square = Base length * Height
Area of 1 square = 12 inches * 12 inches
Area of 1 square = 144 square inches
So, the area of all squares in the figure is
Area of all squares = 1 * 144 square inches
Area of all squares = 144 square inches
Also, we have
Area of 1 triangle = 0.5 * Base length * Height
Area of 1 triangle = 0.5 * 12 inches * 15 inches
Area of 1 triangle = 90 square inches
So, the area of all triangles in the figure is
Area of all triangles = 4 * 90 square inches
Area of all triangles = 360 square inches
The surface area of the figure is
Surface area = Area of all triangles + Area of all squares
This gives
Surface area = 360 square inches + 144 square inches
Evaluate
Surface area = 504 square inches
Hence, the surface area of the prism is 504 square inches
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Zak has 11 shirts and 8 ties in his wardrobe. a) On Thursday morning, he picks a shirt and a tie at random from the wardrobe. How many possible combinations are there? b) On Thursday evening, he puts the tie back in the wardrobe but not the shirt. On Friday morning, he picks a shirt and a tie at random from the wardrobe again. How many possible combinations are there now?
Answer:
c
Step-by-step explanation:
because you do 12 times 9 minus 100 wich is 125 so yeah
Someone please help me with this!!! (Will mark Brainliest)
Answer: 5/3
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.
Given the figure, find the total area of the shaded region.
-4
A
D
8.
6-
4-
2-
O
-2-
-4
2
G
S
B
The area of the shaded region is
R
6 8
-U
X
square units.
Answer:
what was one survival event you experienced
If f(x) = 2x² +3 and g(x)=x2-7, find (f- g)(x)
A. 3x²2²-10
B. x² + 10
C. x²-4
D. 3x²2²-4
APEX FUNCTIONS PLEASE HELP
Answer: D
Step-by-step explanation:
9(x+y)=3ay solve for y
When we solve the linear equation for y, we will get:
8*x/(3*a - 9) = y
That is the solution for the variable y.
How to solve the linear equation for y?
Here we have the linear equation:
9*(x + y) = 3*a*y
Where x, y, and a are variables.
We want to solve this linear equation for y, this means that we need to isolate y in one side of the equation, to do so, let's start by expanding the left side:
9*(x + y) = 3*a*y
9*x + 9*y = 3*a*y
Now we move all the terms with y to the right side.
8x = 3*a*y - 9*y = (3*a - 9)*y
Now we divide both sides by 3*a - 9 to get:
8*x/(3*a - 9) = y
That is the equation solved for y.
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