James has a sidewalk that runs through his flower garden. He needs to put more mulch in the flower garden. If one bag of mulch covers 4 square yards, how many bags of mulch will he need?
Answer:
See Explanation
Step-by-step explanation:
Given
The given proportion can be represented as:
[tex]1\ bag = 4yd^2[/tex]
Required
The additional number of mulch needed
The question has incomplete details, as the amount of mulch he has applied and the area of the flower garden are not given.
So, I will make some assumptions to solve this question.
Let the area of his flower garden be x.
So, we have:
[tex]1\ bag = 4yd^2[/tex]
[tex]y = x\ yd^2[/tex]
Cross multiply
[tex]4yd^2 * y = xyd^2 * 1\ bag[/tex]
Make y the subject
[tex]y = \frac{x\ yd^2 * 1\ bag}{4yd^2}[/tex]
[tex]y = \frac{x* 1\ bag}{4}[/tex]
[tex]y = \frac{x}{4}\ bag[/tex] --- This represents the total amount of mulch required for the flower garden
--------------------------------------------------------------------------------------------------------
Assumptions
Assume that [tex]x = 16[/tex],
So, we have:
[tex]y = \frac{x}{4}\ bag[/tex]
[tex]y = \frac{16}{4}[/tex]
[tex]y = 4[/tex]
i.e 4 bags are needed.
Assume he has applied 2 bags already.
The number of bags needed to apply will be:
[tex]y - 2[/tex]
[tex]y - 2 = 4 - 2[/tex]
[tex]y - 2 = 2[/tex]
2 more bags needed
--------------------------------------------------------------------------------------------------------
Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between point A and point B is 10 units.
[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]
Taking square on both sides, we get
[tex](8)^2+(1-y)^2=100[/tex]
[tex](1-y)^2=100-64[/tex]
[tex](1-y)^2=36[/tex]
Taking square root on both sides, we get
[tex](1-y)=\pm \sqrt{36}[/tex]
[tex]-y=\pm 6-1[/tex]
[tex]y=1\mp 6[/tex]
[tex]y=1-6[/tex] and [tex]y=1+6[/tex]
[tex]y=-5[/tex] and [tex]y=7[/tex]
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
Find the surface area
Answer:
rectangular prism = cuboid
total surface area of a cuboid (tsa) = 2(lb+bh+hl)
l=length = 3cm
b=breadth = 6cm
h=height = 5cm
tsa = 2( 3*6 + 6*5 + 5*3 )
2( 18 + 30 + 15 )
2 * 63
= 126 [tex]cm^{2}[/tex]
hope this answer helps you.....
QUICKKK!!!!! PLEASEEEEEEEEEE
Answer:
10.29 (rounded = 10.30)
Step-by-step explanation:
X = a^2 + b^2 = c^2
X = 9^2 + 5^2 = c^2
X = (81) + (25) = c^2
X = 106 = c^2
X = √106 = c^2
X = 10.295630141 = c^2
X = 10.03 = c^2 (10.03 is 10.295630141 rounded to the nearest tenth)
If x=12 and y=6x , what is the value of 8x2y ?
Answer:
13824 is the answer
Step-by-step explanation:
8*12*2*6*12
what type of association is there ??
hi i just need some points rq tyStep-by-step explanation:
Help?!!!!!!!!!!!!!!!!!
Answer:
A.
Step-by-step explanation:
Divide 82 by 5.25 ([tex]5\frac{1}{4}[/tex] in decimal form). [tex]\frac{82}{5.25}=15.619047619047619047...[/tex], which can be rounded to 15.6 inches , so the answer is A. Hope this helps!
Please mark me as brainliest!ice cream cost $0.85 per ounce. Which equation best represents y, the total cost of x ounces of ice cream.
Answer:
I'm not sure about my answer but I think it is y=0.85x
Step-by-step explanation:
0.85 is the rate and the rate = the cost of ounces of ice cream which is why 0.85 has an x to it
If DE is the midsegment of ABC what is the value of x AND y?
Answer:
3.) x = 4.5
4.) y = 7
Step-by-step explanation:
3 is an easier one than 4. By the triangle midsegment theorem, the midsegment of a triangle will be half of the base if it is parallel to it. AB is our base, so the equation is like this!
[tex]AB = 2(ED)\\9=2(ED)\\4.5=ED[/tex]
Now for 4, it actually is pretty easy. By the same triangle midsegment theorem, we automatically know that EC and EA are congruent, and CD and DB are also congruent. Meaning y equals 7.
But another way we can determine this (the long, kinda unecessary, but useful way) is through examining the relationship that triangles ABC and EDC have! We know that they are similar triangles by SAS or AA. Meaning, their equation looks something like this...
[tex]4.5(7+y) = 9y\\31.5 + 4.5y = 9y\\31.5=4.5y\\7=y[/tex]
Like I said earlier, 7 is equal to y, but I figured I'd prove it so we are on the same page. Nothing wrong with double-checking ;)
Have a nice day. Feel free to Ask questions. Spread The Love.
Select two equations of lines that are perpendicular
to the line whose equation is 2x + 14y = 70.
Answer: I know C it’s one answer
Step-by-step explanation:
Select ALL the expressions that are equivalent to (x^2)(square root of x).
Answer:
x^(2.5) ("x to the power 5/2")
Step-by-step explanation:
(x^2)(√x) can also be written as x·x·x^(1/2). We just add the exponents together: (x^2)(√x) = x^1·x^1·x^(1/2) = x^(2.5) ("x to the power 5/2").
Next time, please share the answer choices.
does anyone wanna do my iready IM GIVING 77 POINTS OR MORE. i have 240 points in total sooooo yeah i can give a lot. its 8th grade iready.
Answer:
YAY
Step-by-step explanation:
3х^2 +7x —6 = 0
salve for x write both solutions
Answer:
x=2/3,-3,x=0.6 repeating decimals,-3
Step-by-step explanation:
Determine how long it will take for $4000 to quadruple in a bank account earning 3.57% interest compounded continuously. Round to the nearest year
Answer:
12 months, so 1 year
Step-by-step explanation:
4 centigrams =
milligrams
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{4 centigrams = [blank] milligrams}[/tex]
[tex]\mathsf{4 \times \dfrac{10}{1}}[/tex]
[tex]\mathsf{= \dfrac{4}{1}\times\dfrac{10}{1}}[/tex]
[tex]\mathsf{=\dfrac{4\times10}{1\times1}}[/tex]
[tex]\mathsf{4\times10=\bf 40}\leftarrow\large\textsf{NUMERATOR}[/tex]
[tex]\mathsf{1\times1 = \bf 1}\leftarrow\large\textsf{DENOMINATOR}[/tex]
[tex]\mathsf{= \dfrac{40}{1}}[/tex]
[tex]\mathsf{\dfrac{40}{1}=40\div1=\bf 40}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: 4 centigrams = \huge\bf{40 milligrams}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
Which statement about the data represented in the graph appears to be de
A)
100% of employees hold a master's degree.
B)
69% of employees hold a bachelor's degree.
44% of employees hold a bachelor's degree.
D)
31% of employees hold a PhD.
Answer:
A. 100% of employees hold a master's degree.
Step-by-step explanation:
Sana nakatulong
a triangle has a 40° angle, a 120° angle and a side 2.5 centimeters in length. which of the following statements are true about the triangle?
Answer:
C
Step-by-step explanation:
A triangle is 180 degrees so 120+40 is 160
180-160=20
Help me Tysm pls ;Dty again
Answer:
its a
Step-by-step explanation: i took the test
Candice is collecting donations from her neighbors for the local animal shelter. She started by adding some of her own money into the collection jar. After collecting d more dollars in donations, she will have a total of 10+d dollars in the jar. Today, she collected $36 more in donations.
How much money does Candice have in her collection jar? plz help
There are rainy days, sunny days, and cloudy days.
- September and October had the same number of rainy days.
- There are 10 rainy days in total for both months.
- There were 3 more cloudy days in October then in September.
How many sunny days were there in September?
Answer:
3 more sunny days in September then in October
Simplify the following trigonometric expression. cosθtan²θcotθ
This question requires the understanding of trigonometric identities. I'll list the ones that are needed to answer this question:
cotθ = 1 / tanθ
tanθ = sinθ / cosθ
Look at the latter identity. We can rewrite it as such:
tanθ * cosθ = sinθ
We are given the expression:
cosθ * tan²θ * cotθ
Referring to the first trigonometric identity above, substitute cotθ:
cosθ * tan²θ * (1 / tanθ)
Multiply tan²θ and the fraction:
cosθ * (tan²θ / tanθ)
cosθ * tanθ
Refer to the second trigonometric identity:
cosθ * tanθ
sinθ
cosθ * tan²θ * cotθ = sinθ
If you have any questions about how I got to the answer, feel free to ask
- breezyツ
What is the perimeter of the trapezoid
Answer:12
Step-by-step explanation:
np
slope between the points (5, 1) and (7,
-9)
Answer:
Slope : 5x
Step-by-step explanation:
the square below has sides that are 3 1/2 inches long. what is the perimeter of the square? write an addition equation to solve.
I got the rest done and now my brain Isn't cooperating, h e l p
1 x= 2
2 x= 16
3 x= 12
Heart or brainly me!
Joyce wants to mix granola
Answer:
good for him or her can u help me with my math question
Step-by-step explanation:
5 more than the product of x and 2
Answer:
2x+5
Step-by-step explanation:
Answer:
5(2x) => 10x
Step-by-step explanation:
plz help me 2 plz 2 plz 2
Step-by-step explanation:
P(-4,7)
Q(-1,-1)
R(-8,-1)
HELP ME FIND THE OPPOSITE OF THIS PLEASE!!! I’ll mark brainliest
Answer:
-3p^7 + 8p
Step-by-step explanation:
OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.
10 points
2. You weigh six packages and find the weights to be 29, 19, 69, 24, 64,
and 59 ounces. If you include a package that weighs 219 ounces, which
will increase more, the median or the mean?
Answer:
mean
Step-by-step explanation:
mean of six packages = (29+19+69+24+64+59)/6 = 44 ounces
Median of these six packages (19,24,29,59,64,69) = (29+59)/2 = 88/2= 44 ounces
Now, if we includes a package that weighs 219 ounces
The new mean = (29+19+69+24+64+59+219)/7 = 69
New median (19,24,29,59,64,69, 219) = 59
Hence, we say that the mean increases more than the median