Answer:
75a + 90b ≤ 70000
a ≤ b
Step-by-step explanation:
Maple grove wants to include 2 types of maple trees .The 2 trees that are to be added cost $75 and $90 each. The total amount should not exceed $70000. And the people wants more of the $90 tree.
Let
the number of the $75 tree = a
number of the $90 tree = b
The total cost of the $75 variety of maple tree = 75a
The total cost of the $90 variety of maple tree = 90b
And the cost of the trees shouldn't exceed $70000. Therefore,
75a + 90b ≤ 70000
Note the people needs more of the $90 tree, this means a ≤ b.
Can someone help me plzzzzz
Answer:
C
Step-by-step explanation:
Can i get a correct answer bc i already asked this on and didn't get the correct answer that was listed
Answer:267.9 in³? Dk if it's right or wrong, forgive me.
Answer:
V = 267.9 in.³
Step-by-step explanation:
Diameter reduced by half = 16/2 = 8 inches
Radius = 4 inches
Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 4
=> V = [tex]\frac{4}{3} (3.14)(4)^3[/tex]
=> V = 804.2/3
=> V = 267.9 in.³
A sphere has a volume of V=2304 in^3. Find its surface area.
Answer:
The surface area of the sphere is:
[tex]Surface_{sphere}=843.6\,\, in^2[/tex]
Step-by-step explanation:
Recall the two following important formulas:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]
where R is the radius of the sphere.
Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]
Now, knowing the radius, we can estimate the surface of the sphere using the other formula;
[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]
(-4,-2) obtained by translating 3 units up followed by a reflection over the x axis
Answer:
Original Coordinates: (-4, 5)
Step-by-step explanation:
We simply take the opposite directions to find our original coordinates.
Step 1: Translate 3 units down
(-4, -2) --> (-4, -5)
Step 2: Reflect over x-axis
(-4, -5) --> (-4, 5)
The word ‘over’ is to show a fraction btw
10 over x-4 = 6
Answer:
x = [tex]\frac{17}{3}[/tex]
Step-by-step explanation:
[tex]\frac{10}{x-4}=6\\\\[/tex]
10 = 6*(x -4)
10 = 6*x - 6*4
10 = 6x - 24
Add 24 to both sides
10 + 24 = 6x - 24 + 24
34 = 6x
6x = 34
Divide both sides by 6
6x/6 = 34/6
x = [tex]\frac{17}{3}[/tex]
Solving Linear Systems by Substitution x+y=5 -3x+2y=5
Answer:
x=8.5
y=-3.5
Step-by-step explanation:
lets say x=5-y
substituting x in the other equation gives -3(5-y)+2y=5
-15+3+2y=5
2y=5+15-3
2y=17
y=8.5
from equation 1 : x+8.5=5
x=5-8.5
x=-3.5
Answer:
X=1y=4Please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment...
Does anyone know what to do here?
Answer:
n=-5
Step-by-step explanation:
y^5*y^n= y^5+n when multiply , add exponents
y^5+n/y^2= y^(5+n)-2 divide, subtract exponents
y^(5-5-2) =y^-2
Use an algebraic rule to describe a translation right 4 units and down 2 units.
A. (x,y) → (x+2,y-4)
В. (x,y) → (x+4,y-2)
C. (x,y) → (x+2,y+4)
D (x,y) → (x-4,y-2)
Answer:
B
Step-by-step explanation:
Khala plots point A at (Negative 1, Negative 3 and one-half). Which graph shows the location of point A? On a coordinate plane, point A is 1.5 units to the left and 3.5 units down. On a coordinate plane, point A 1 unit to the left and 3.5 units down. On a coordinate plane, point A is 1 unit to the right and 3.5 units up. On a coordinate plane, point A is 1 unit to the right and 3.5 units down.
Answer:
The coordinate plane where the point is 1 unit to the left and 3.5 units down
Step-by-step explanation:
On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.
Answer:
D
Step-by-step explanation:
Edge 2020
A recipe calls for 10 cups of sugar for every 3 eggs. How many cups of sugar are
required if a dozen eggs are used by the baker?
Answer:
40 cups of sugar
Step-by-step explanation:
10 cups = 3 eggs
x cups = 12 eggs( a dozen )
12*10 =3x
120=3x
120/3=40
Answer:
40 cups of sugar
Step-by-step explanation:
All you have to do is divide the dozen eggs by 3 which will give you 4 and then after you multiply the 4 by the 10 cups of sugar to give you 40 cups of sugar.
Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *
Answer:
x=2
Step-by-step explanation:
-7+4x+10=15-2x
combine like terms
4x+3=15-2x
add 2x to both sides
6x+3=15
subtract 3 on both sides
6x=12
divide 6 on both sides
x=2
Sierra makes 8 friendship bracelets in 2 hours.how long does it take her to make 1?
Answer:
2 hours = 120 minutes so it takes her 120 / 8 = 15 minutes to make one.
A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The fly will be 12 feet high and 16 feet wide. The scouts are building the frame for the fly with two poles slanted and joined together at the top of the tent.
The minimum length of the slanted poles needed to support the fly is how many feet
Answer:
Step-by-step explanation:
As shown in the diagram.
The fly will be 16 feet wide i.e BC = 16 feet
thus BD = DC = 8 feet
By pythagorus theorem
Hypotenuse²= Height ²+ Base²
in ΔABD
AD = 12 feet
BD = 8 feet
put these value in the equation
AB ²= AD² + BD²
AB²= 12²+ 8²
AB² = 144 + 64
AB² = 208
AB = 14.42 feet
The minimum length of the slanted poles needed to support the fly is 14.42 feet.
Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.
Answer:
p=50t
Step-by-step explanation:
The more pages Crystal has to read, the more time she spends reading.
Let p=number of pages read
t=time spent reading the number of pages
As t increases, p increases.
This is a direct proportion and we can write it as:
[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]
Substitution of k into p=tk gives:
p=50t
Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:
p=50t
How much water should be added to 120 oz. of 50% acid solution to dilute it to a 30% acid solution? Round your answer to the nearest hundredth if necessary.
Step-by-step explanation:
120oz=50%acid
y=30%acid
120×30%=36
50×y=36
1.889oz
3. 10 + (8 x 3) - 32
Answer:
[tex]2[/tex]
Step-by-step explanation:
In order to find the answer to this question use PEMDAS and solve.
[tex]10+(8\times3)-32[/tex]
P goes first:
[tex]8\times3=24[/tex]
[tex]10+24-32[/tex]
A goes next:
[tex]10+24=34[/tex]
S goes last:
[tex]34-32=2[/tex]
[tex]=2[/tex]
Hope this helps.
Answer:
2
Step-by-step explanation:
10 + (8 x 3) - 32
So I’m assuming the x represents multiplication
10 + (8*3) - 32
In Pemdas parenthesis is always first
(8*3)=24
10+24-32
Then addition
10+ 24=34
34-32=2
1) A business man gives N18 000,00 to his three children
to be shared in the ratio 5: 4:3. How much is the least
share?
Answer: The least share is N450000
Step-by-step explanation:
Given that :
Amount shared = N18 00000
Sharing ratio = 5:4:3
Amount shared by each child :
Total ratio = (5 + 4 + 3 )= 12
First share :
(5 / 12) × 1800000 = 750000
Second share :
(4/12) × 1800000 = 600000
Third share:
(3/12) × 1800000 = 450000
The least amount of the three shares is :
N450000
please hellp ......
Answer:
I DUNNO
Step-by-step explanation:
Answer:
BC = 19.371
Step-by-step explanation:
Use the cosine ratio:
Cos(71°) = 6.3/BC
BC = 6.3/Cos(71°)
BC = 19.371 cm
That's it, Best Regards!
Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r equals 40.05 ft (Upper V (r )equals four thirds pi r cubed ). When r changes from 40 ft to 40.05 ft, Upper DeltaValmost equals nothing ftcubed.
Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:
[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]
Where [tex]r[/tex] is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]
The derivative of the volume as a function of radius is:
[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]
Then, the change in volume is expanded:
[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]
If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:
[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]
[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Eric ran from school to the town monument and back again. On his way to the monument, he ran at 10kph and went back to school at 8kph. The entire trip took 2 hours and 15 minutes. How far is the monument from school?
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
The total time for both the trips is:
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
Now, Calculating the Distance
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km
(−a+b)(b–a) Please help I don't understand how to do this
Answer:
a^2 -2ab + b^2
Step-by-step explanation:
(−a+b)(b–a)
FOIL
first : -a*b = -ab
outer: -a * -a = a^2
inner +b * +b = b^2
last: b* -a = -ab
Add them together
-ab+a^2 + b^2 -ab
Combine like terms
a^2 -2ab + b^2
Answer:
a^2+b^2-2ab
Step-by-step explanation:
(-a+b)(b-a)=
first mutiply -a(b-a)=-ab+a^2
second multiply b(b-a)=b^2-ab
then add : -ab+a^2+b^2-ab= a^2+b^2-2ab
a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
x 2
x 5
- 2
- 5
А.
B
C
D
b)y=
5
What happens to the value of y if the value of x triples?
Select your answer.
x 2
x 3
-2
- 3
A
B
C
D
Answer:
if x doubles y will be 2y &if x triples the value will be 3y
.......................
Answer:
Width: [tex]10y^6[/tex]
Length: 7y² + 3
Step-by-step explanation:
Step 1: Factor out 10
[tex]10(7y^8+3y^6)[/tex]
Step 2: Factor out [tex]y^6[/tex]
[tex]10y^6(7y^2+3)[/tex]
According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).
Help me with this somebody.
Answer:
B, √140
Step-by-step explanation:
√28+√112 = √140
Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?
Answer:
There are 26 students in the class
Step-by-step explanation:
Let n millilitres be the solution in the beaker
Let x be the number of students in a class
He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.
So, Solution distributed = 3x
Remaining solution = n-3x
So, n-3x = 5 ----1
In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.
So, n-4x=-21 -----2
Substitute the value of n from 1 in 2
So, 5+3x-4x=-21
5-x=-21
26=x
Hence There are 26 students in the class
What is an equation of the line that passes through the point
(−2,−2) and is parallel to the line
5x−y=4?
Answer:
y = 5x + 8
Step-by-step explanation:
If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.
5x - y = 4 and solving for y:
-y = -5x + 4 and solving for positive y:
y = 5x - 4
So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:
y - (-2) = 5(x - (-2)) and
y + 2 = 5(x + 2) and
y + 2 = 5x + 10 so
y = 5x + 8
HELP!!!
A publicist is promoting a new record. The table below
represents the plan for providing promo codes for free
downloads of a single from the record, f(x), in tens of
thousands of codes depending on the time since posting, x,
in days.
х
f(x)
0
0
25
45
50
0
75
-150
Answer:
D) Their difference is the number of days the first promo codes were released before the new record
Answer:
D.) Their difference is the number of days the first promo codes were released before the new record
Step-by-step explanation:
Got it right on Edge
What is the exact volume of a cylinder with a height of 30 inches and radius of 13 inches
Answer:
2,451 inches.
Step-by-step explanation:
Formula for volume of a cylinder = V=πr2h
r = 13 inches
h = 30 inches
π=22/7 or 3.14
V = 3.14 × 13 × 2 × 30
= 2,451.43
Answer is 2,451.43
A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).
Answer:
Step-by-step explanation:
I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!
The equation that we want to fill in is this one:
[tex](y-k)^2=4p(x-h)[/tex]
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.
p = 2. Filling in the equation:
[tex]-(y-0)^2=4(2)(x-0)[/tex] which simplifies to
[tex]-y^2=8x[/tex] and now we solve it for x:
[tex]-\frac{1}{8}y^2=x[/tex]
2. Solve the following equation for b. 6b + 2a - 4 = 2b +3a
Answer:
b=1/4a+1
Step-by-step explanation:
Step 1: Add -2b to both sides.
2a+6b−4+−2b=3a+2b+−2b
2a+4b−4=3a
Step 2: Add -2a to both sides.
2a+4b−4+−2a=3a+−2a
4b−4=a
Step 3: Add 4 to both sides.
4b−4+4=a+4
4b=a+4
Step 4: Divide both sides by 4.
4b/4 = a+4/4
b=1/4a+1
Please mark brainliest
Hope this helps.
Answer:
the answer is A
Step-by-step explanation:just took the test