The area of a rectangular garden in square feet can be represented by z² - 10z +21. The length is z - 7 feet. You have been hired to fertilize the
garden. Recall that the area of the garden is z² - 10z +21. If z = 20 and the fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
Answer:
$ 59.67
Step-by-step explanation:
The area of a rectangular garden in square feet can be represented by z² - 10z +21 square feet
If z = 20
Therefore:
The area of the rectangular garden is:
20² - 10 × 20 + 21
400 - 200 + 21
= 221 square feet
The fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
The cost of fertilize the garden is calculated as:
1 square feet = $0.27
221 square feet = x
Cross Multiply
221 square feet × $0.27
=$ 59.67
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden?
ahhh i rlly need help with this one haha thanks!!
Answer:
The original speed of the grey wolf can be 9 and/or 48 km/hour
Step-by-step explanation:
There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).
First trip: KC - MAG
It takes the same distance as MAG - KC so distance can be D for both.
Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.
Let x be speed.
So the equation for this is:
D=5x
Second trip: MAG - KC
Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).
For Time:
He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.
The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.
Let T#1 = a, and T#2 = b.
Let D#2 = D-36
The equation for a:
a = 36/x --> This is he is at a constant speed and went for 36mi.
Next:
The equation for b:
b = (x+3)/D#2
These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.
So the equation is:
36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).
Now Solve:
36/x + (5x-36)/x+3 = 4.75
0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)
0.25s^2 - 14.25s + 108 = 0
(14.25 +- Square root (203.06 - 108))/0.5
(14.25 +- Square root (95.0625))/0.5
(14.25 +- 9.75)/0.5
Answer:
s = 9, s=48.
Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.
Identify a1 and r for the geometric sequence
a1 =
r =
Answer:
a₁ = - 256 , r = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
Given
[tex]a_{n}[/tex] = - 256 [tex](-\frac{1}{4}) ^{n-1}[/tex] , then by comparison
a₁ = - 256 and r = - [tex]\frac{1}{4}[/tex]
You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.
%
A rectangular prism with a length of 5 inches a width of 4 inches and a height of 3 inches is how many square inches
Answer:
20
Step-by-step explanation:
length x width = area
4 x 5 = 20
(not 100% sure, but I hope this helps)
Find the distance between the points (–2,8) and (–2,3).
Answer:
I think it's 5
Step-by-step explanation:
I am not really sure but I tried I guess
Four times a first number decreased by a second number is 19. The first number increased by four times the second number is −8. Find the numbers.
Answer:
a = 4
b = -3
Step-by-step explanation:
Let a and b be the two numbers.
According to question,
4a - b = 19........(i)
And,
a + 4b = -8........(ii)
From (i),
4a - b = 19
or, b = 4a - 19
Replacing b in (ii),
a + 4(4a - 19) = -8
a + 16a - 76 = -8
17a = -8 + 76
17a = 68
a = 68/17
a = 4
And,
b = 4a - 19
= 4 x 4 - 19
= 16 - 19
= -3
plz help 5x + 2 = x – 10
Answer:
x= -3
Step-by-step explanation:
5x + 2 = x - 10
4x + 2 = -10
4× = 10 - 2
4x = -12
x= -3
what divided by 3/7=7/15
Answer:
45/49
decimal form:
0.91836734
Step-by-step explanation:
is 12, -15, -18, -21 arithmetic
Need help! much appreciated
Answer:
C-D = 6
A-B = 3.25
D = 118
Step-by-step explanation:
C-D = 6 because the line is the same as B-C
A-B = 3.25 because the line is the same as A-D
D = 118 because the angle of B is vertically opposite to D
What’s the area?? There’s a picture
Answer:
A= 12 Ft^2
Step-by-step explanation:
Reminder the Area formula is A=B(Base) times H(Height).
Take The base (6) and the Height (6) then multiply.
Hence, the reason is 12 Ft squared.
Which expression is equivalent
Answer:
the first one
Step-by-step explanation:
What is angle BXC and why?? Please help
Answer:
BXC=70 degrees
Step-by-step explanation:
XBC = 55
corresponding angles are equal
XCB=55
isosceles base angles are equal
BXC=70
angles in a triangle add up to 180 degrees
Please help me out! You can just give me your answer! PLEASE AND THANK YOU!
Answer:
15°, 16°, 46°, 59°
Step-by-step explanation:
1.) so the entire angle is 89°, then you take off the 44° and the 30°
89° - 44° - 30° = 15°
So the answer to 1 is x = 15°
2.) 90° - 74° = 16°
3.) 180° - 134° = 46°
4.) the angles are vertical, so they're equal:
x = 59°
hope this helps:)
The sum of two numbers is 65. One number is 4 times as large as the other. What are the numbers?
Larger number:
Smaller number:
Answer:
Large number =52
small number =13
Step-by-step explanation:
4x + x =65
5x=65
x=13
4x=52
Solve -72 = 8 (y - 3) pls
Step-by-step explanation:
Given
- 72 = 8 ( y - 3 )
or - 72 / 8 = y - 3
or, - 9 = y - 3
y = - 9 + 3
Therefore X = - 6
Hope it will help :)❤
Answer:
Step-by-step explanation:
-72=8y-24
-72+24=8y
-48=8y
-48/8=y
-6=y
Student grades on a recent science test follow; 78, 81, 89, 75, 76, 91, 10963,
80, 87, 91, 95. Find the MEAN (average) to the nearest tenth.
• 76.9
• 83.0
• 83.8
• 83.3
Answer:
b
Step-by-step explanation:
took the test good luck
Answer:
Explained below
Step-by-step explanation:
I shall explain this
Add all the numbers together and divide by the number of numbers
[tex]78 + 81 + 89 + 75 + 76 + 91 + 10963 + 80 + 87 + 91 + 95 = answer \div 11 [/tex]
What is the value of y in the equation 4 + y=-3?
7
1
-1
-7
Answer: -7
Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)
Juan is a teacher and takes home 618 papers to grade over the weekend. He can grade
at a rate of 6 papers per hour. How many papers would Juan have remaining to grade
after working for 7 hours?
Answer:
576
Step-by-step explanation:
6 papers an hour. 7 hours spent grading.
So 7•6 = 42
618-42
576
Hope this helps
consider the polynomial function q(x)=-2x^8+5x^6-3x^5+50
What is the end behavior of the graph of q?
Choose 1 answer:
(Choice A) As x→∞, q(x)→∞, and as x→−∞, q(x)→∞
(Choice B) As x→∞, q(x)→-∞, and as x→−∞, q(x)→∞
(Choice C) As x→∞, q(x)→-∞, and as x→−∞, q(x)→-∞
(Choice D) As x→∞, q(x)→∞, and as x→−∞, q(x)→-∞
Answer:
C.
Step-by-step explanation:
Answer A and D are definitely incorrect. Hope this helps Zoey. #Zoeyiscute:)
Dot plot A is the top plot. Dot plot B is the bottom plot.
According to the dot plots, which statement is true?
The mean of the data in dot plot A is less than the
mean of the data in data plot B.
The median of the data in dot plot A is greater than the
median of the data in dot plot B.
The mode of the data in dot plot A is less than the
mode of the data in dot plot B.
The range of the data in dot plot A is greater than the
range of the data in dot plot B.
Please help I’m giving BRAINLIEST
Answer:
The median of plot A is greater that the median of plot B
Step-by-step explanation: the median on plot A is 45 and the median on plot B is 15
1)The mean of the data in plot A is greater than the
mean of the data in plot B.
2) The median of the data in plot A is greater than the
median of the data in dot plot B.
3) The range of the data in plot A is greater than the
range of the data in plot B.
What is the median?
The median is the middle number in a sorted, ascending, or descending, list of numbers.
Let us arrange the data of plot A in ascending order:
30,35,35,40,40,40,40,45,45,45,45,50,55,55,60
Number of observations = 15
Mean of the plot A = 44
Median will be the middle observation i.e. 8th observation i.e. 45
Let us arrange the data of plot A in ascending order:
5,5,5,10,10,10,10,15,15,15,20,20,25,30,35
Number of observations = 15
Mean of the plot B = 15.33
Median will be the middle observation i.e. 8th observation i.e. 15
Therefore,1)The mean of the data in plot A is greater than the
mean of the data in plot B.
2) The median of the data in plot A is greater than the
median of the data in dot plot B.
3) The range of the data in plot A is greater than the
range of the data in plot B.
To get more about the median, mode, and mean visit:
https://brainly.com/question/14532771
Lily likes to collect records. Last year she had 10 records in her collection. Now she has 11 records,
What is the percent increase of her collection?
The percent increase of her collection is %.
Answer:7
Step-by-step explanation:
which of the following equations has no solution?
Answer:
-2x^2 + 2x + 1
Step-by-step explanation: If you try to factorize, there are no solutions, and if you use the quadratic formula, you don't get 2 solution for x
ok soooo
when you rrly think abt it we all have kicked a pregnant lady
Answer:
Step-by-step explanation:
lol true
Seth is using a large shoe box to store his baseball cards. The length of the box is 12 inches, and the height is 6 inches. If the volume of Seth's box is 288 cubic inches, how wide is the box?
Step-by-step explanation: *First, decide which volume formula to use: v = lwh
*Next, substitute in for what you do know (leave variable for unknown): 288 = 12 · w · 6
*Then simplify the side of the equation with the variable: 288 = 72 · w
*Now divide each side of the equation by 72 to solve for w:
288 ÷ 72 = w
4 in = w
Explain, using an example, why you need to multiply when converting from a larger unit to a smaller unit
Answer:
This is often called scaling in math, used in ratios, fraction, percent's etc.
Step-by-step explanation:
Answer:
You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide. Here is an example..
Can someone explain why the answer is False. Will Mark brainliest.
Answer:
Supplementary Angles are 180 degrees. A triangle has 180 degrees. One angle is already 90 degrees, so 2 more angles with 180 degrees is impossible.
Step-by-step explanation:
estimate each product 49.2×10.3
A stem and leaf plot titled High Temperatures in degrees Fahrenheit. The stems are 4, 5, 6, 7. The first column of leaves are 9, 2, 0, 2. The second column of leaves are blank, 4, 1, 3. The third column of leaves are blank, 4, blank, blank. The fourth column of leaves are blank, 6, blank, blank. The fifth column of leaves are blank, 8, blank, blank. The stem and leaf plot shows high temperatures recorded each day at the beginning of the month. Which temperature occurs the most frequently
Answer:
The temperature with the highest frequency is 54
Step-by-step explanation:
Given
The above data
Required
The temperature with the highest frequency
The first step, is to plot the stem and leaf plot.
[tex]\begin{array}{cc}{4} & {9\ \ } & {5} & {2\ 4\ 4\ 6\ 8} & {6} & {0\ 1\ } & {7} & {2\ 3\ } \ \end{array}[/tex]
Next, is to identify the leaf with the highest frequency.
The leaf is 4 (with frequency 2)
Next, is to identify the accompanying stem of the leaf
The stem is 5
Hence, the temperature with the highest frequency is 54
Answer:
B
Step-by-step explanation:
edg 2021
13=X/4
A. 13/4
B. 4/13
C. 52
D. 9
Answer:
Hi! The answer to your question is C. 52
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!
- Brooklynn Deka