The number of trees calamansi have is 488 trees. The number of tree pomelo trees have in Jacintos farm is 305 trees
From the given information, we learnt that:
The ratio of the calamansi and pomelo trees in Jacintos farm = 8:5
If the total number of the ratio = 8 + 5 = 13
The proportion of the calamansi can be estimated as:
= (8/13) × 793
= 488 trees
The proportion of pomelo trees is:
= (5/13) × 793
= 305 trees
Therefore, we can conclude that the number of trees calamansi have is 488 trees and the number of tree pomelo trees have in Jacintos farm is 305 trees.
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There are 488 calamansi trees
There are 305 jacintos trees
Let x represent the number of calamansi trees
Let y represent the number of Pomelo trees
8 +5= 13
793/13
= 61
8(61)= 488
5(61)= 305
Hence there are 488 calamansi trees and 305 jacintos trees
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Find the product of 21 and (6.3 · 10-4).
1.323 · 10 2
1.323 · 10 -3
0.1323 · 10 -1
1.323 · 10 -2
Answer: 1.323x10^-2
Step-by-step explanation:
21*(6.3x10^-4) = 1.323x10^-2
Due to delays, a company had to extend a project from 26 days to 42
days. What was the percentage increase in time to complete the
project? Round your answer to the nearest tenth.
Answer:
It should be 38.1
40
X
5. A health-food business would like to create a high-potassium blend of dried fruit in the form
of a box of fruit bars. It decides to use dried apricots, which have 407 mg of potassium per
serving, and dried dates, which have 271 mg of potassium per serving.
4
y
The company can purchase its fruit through www.driedfruitbaskets.com in bulk for a
reasonable price. Dried apricots cost $3.33/serving and dried dates cost $2/serving. The company
would like the box of bars to have at least the recommended daily potassium intake of about
4700 mg, but would like to keep it under twice the recommended daily intake. In order to
minimize cost, how many servings of each dried fruit should go into the box of bars?
5
Objective Function:
Constraints:
Corner Points & Answer:
Thus, the values corresponding to the function and constraints will be:
Objective Function:[tex]C=3.33X+2.00Y[/tex]
Constraints:[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]
We begin by defining the variables. Let call:
X = of servings of dried apricots
Y= of servings of dried dates
For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:
[tex]3.33X[/tex]
For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:
[tex]2.00Y[/tex]
The total cost would be:
[tex]C=3.33X+2.00Y[/tex]
Product must contain at least 4700mg of potassium
[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]
So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.
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PLSSSSS I WILL MARK BRAINLIEST PLSSSSSS
Raven is making pillows. Each pillow requires 1/3 yard of fabric. Raven has 6 yards of fabric. How many full pillows can she make?????????????????????????????????
Answer:
10
Step-by-step explanation:
3/5 simpilfied is 0.6
So 6/0.6 = 10
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
b
Step-by-step explanation:
3 out of 20 apples are bad what percentage are bad
Answer:
15% or 0.15
Step-by-step explanation:
3/20 = 0.15
if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoin
Graph the line with the slope of -4 and passing through ( 3, 5 ).
Answer:
See graph below of the line y - 5 = - 4 (x - 3) OR y = -4 x + 17Step-by-step explanation:
We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.
Equation of the Line
y - 5 = - 4 (x - 3)
Finding x and y-intercepts
y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)
since y - 5 = - 4 (x - 3)
y - 5 = -4 x + 12
y = -4 x + 17
∴ point of the y-intercept is (0, 17)
x-intercept occurs when y = 0
y = -4 x + 17
0 = -4 x + 17
-17 = -4x
x = ¹⁷/₄
∴ point of the x-intercept is (¹⁷/₄, 0)
Graph the line
We can now plug in the points and draw the line.
See the example below.
Note: You only need two points to graph the line. I just did a third as a check.
How many quarters are there in 5 1/2
Answer:
Please mark as brainliest if you understood
Step-by-step explanation:
5 1/2
=11/2
=22/4
Therefore there are 22 quarters.
what is the slope of the line that passes through the points (-3, 1) and (1, -5)
A) 1/2
B) -1/2
C) -3/2
Answer:
[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line.
Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.
We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:
x₁ = -3 y₁ = 1x₂ = 1 y₂ = -5Substitute the values into the formula.
[tex]m= \frac{-5 -1}{1 - -3}[/tex]
Solve the numerator.
-5-1= -6[tex]m= \frac{ -6}{1--3}[/tex]
Solve the denominator. Two back-to-back negative signs become a positive sign.
1 - -3 = 1+3 =4[tex]m=\frac{-6}{4}[/tex]
Simplify the fraction. Both the numerator and denominator can be divided by 2.
[tex]m= \frac{-6/2}{4/2}[/tex]
[tex]m= -\frac{3}{2}[/tex]
The slope of the line is -3/2, so the correct choice is C.
Help pls, due in 10 mins
Answer:
B. 39
Step-by-step explanation:
134 is a supplementary angle, so 180-134=46. 46 is the bottom left interior angle of the triangle.
Next that 56 and the bottom right exterior angle are supplementary, so 180-56=124.
now we have the bottom right exterior angle, to find the interior 180-124=56.
Then we can set up the equation to find x:
56+46+2x=180
we have 180 because all triangles angle equal 180.
calculate the equation:
combine like terms, (2x)+(56+46)=180
2x+102=180
Subtract 102 from both sides,
180−102=78
2x=78
Divide both sides by 2.
78/2=39
x=39.
American society is made up of people of the same cultural background.
Please select the best answer from the choices provided
T
F
Answer:
false
Step-by-step explanation:
A person travels 7/9 of a mile in 1/4 of an hour, how far will he travel in 1 hour
Answer:
If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.
Step-by-step explanation:
need help what is answer
Answer:
y=-4/3x+1 is the equation of the line perpendicular to 3/4x+5 and goes through the point 3,-3
Step-by-step explanation:
Note that the co-efficient before x is the slope, which i will call m, and a perpendicular line has a slope of -1/m.
-1/m=-4/3
so
y=-4/3x+z,
plug in 3 for x, and -3 for y to get z=1
y=-4/3x+1 is the equation
Help asap please I need help
Answer:
the equations is y=x+3-1
Step-by-step explanation:
20 + 3xy - 4xy +y2 + 10 -y2
Answer:
−xy−y2+2y+30 is the answer simplified
Find the slope of the line through each pair of points.
(19,-4), (-3,9)
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
x changes by -22 (from 19 to -3)
y changes by +13 (from -4 to 9)
the slope is +13/-22 = -13/22
find the number that makes the ratio equivalent 1:5. 7:
Answer:
35
Step-by-step explanation:
1. We can write the ratios as fractions of: [tex]\frac{1}{5} =\frac{7}{x}[/tex]. Now, we solve for the variable x.
2. (Solving)
Step 1: Cross-multiply.
[tex]1*x=7*5[/tex] [tex]x = 35[/tex]Therefore, the number that makes the ratio equivalent is 35.
Answer:
1:5 & 7:35
Step-by-step explanation:
7 x 5 = 35
Someone please help me. I will give Brainliest. No links, please.
Answer:
SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent
two sets of congruent sides, a set of congruent angles between the sides
ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent
two sets of congruent angles, a set of congruent sides between the angles
AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent
two sets of congruent corresponding angles, a pair of congruent sides next to the angles
HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.
two congruent hypotenuses and two congruent legs of a right triangle
Step-by-step explanation:
Help Please !! And thank you !!
Answer:
c
Step-by-step explanation:
Line EG bisects angle DEF
The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?
A) simplify
B) divide by a
C) complete the square
D) take the square root of both sides
Answer:
answer choice is B
Step-by-step explanation:
HELP ASAP!!! So is this measuring tape in feet and meters??
Answer:
The top is the inches and the bottom is the cm.
Step-by-step explanation:
I might not be correct but I hope this works
HELPS PLS DUE IN 5 min:( ILL MARK BRAINIEST!!!
Where is the magnetic field in a hair dryer
Answer:
Hi :)
ELF magnetic fields measured 10 cm from the nozzles of hair dryers were elevated over the ambient by a mean factor of 17 when these devices were in use. Estimated mean daily times of usage of hair dryers, stereo headsets, and sewing machines were 2.6, 19, and 17 minutes, respectively.
Hope this helped :)
Give coordinates for three possible pairs of points for the other two verticies...
Answer:
A) (-1,3) and (4,3)
B) (-1,-7) and (4,-7)
C) (1.5, .5) and (1.5, -4.5)
Step-by-step explanation:
For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.
4-(-1)=4+1=5
The length of the side of the square is 5.
1. For the first set of points, the square is above the two given points so just add 5 to the y-values
-2+5=3
This gives you the points:
(-1,3) and (4,3)
2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.
-2-5=-7
This give you the points:
(-1,-7) and (4,-7)
3. The third answer is when the two given points are on opposite corners
of the square.
Here the diagonal is equal to 5 since they are on opposite corners of the square.
The diagonal of a square can be found with the pythagorean theorem
Since we have the diagonal we can find the side lengths we need.
[tex]2s^2=25[/tex]
s=[tex]\sqrt{\frac{25}{2} }[/tex]
s=3.5355
We want the new vertices to be in the middle of the other vertices x-coordinates
[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]
The new vertices will be 2.5 units away from the other vertices
-1+2.5=1.5
The new vertices will be at x=1.5
Now we need the pythagorean theorem again to find the y-values
[tex](2.5)^2+h^2=(3.5355)^2[/tex]
[tex]6.25+h^2=\frac{25}{2}[/tex]
[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]
h=2.5
The new vertices will be:
(1.5, -2+2.5)=(1., .5)
(1.5, -2-2.5)=(1.5, -4.5)
34.98+12.24=?
answers please
Answer:
Hello!
After reading your question I have calculated the correct answer to be:
47.22
Step-by-step explanation:
The way I solved this equation was I first split the equation into two parts.
I took the two whole numbers, being "34" and "12", and made their own equation:
"34+12=?"
And then I took the two partial numbers "0.98" and "0.24" and made their own equation:
"0.98+0.24=?"
I then solved both equations:
"34+12= 46"
"0.98+0.24= 1.22"
And added those two solutions together to come up with the final solution:
"46+1.22= 47.22"
Hope this helped!
Answer:
47.22 is the answer
Step-by-step explanation:
hope it helps you
i need geometry help...
If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55
}
Answer:B
Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down
Answer:
ans is i think a) $5.50
Step-by-step explanation:
'cuz if 5 boxes cost $27.50
so it will be
[tex]27.50 \div 5 \\ = 5.50[/tex]
2x+5y=25 3x-y=12 con metodo de sustitución
Answer:
x = 5, y = 3
Step-by-step explanation:
2x + 5y = 25
3x - 1y = 12
we can multiply the second equation by 5 and then add it to the first equation, which will allow us to solve for 'x'; then we solve for 'y'
5(3x - 1y) = 12(5)
15x - 5y = 60
2x + 5y = 25
+ 15x - 5y = 60
17x = 85
x = 5
plug '5' in for 'x' to solve for 'y':
2(5) + 5y = 25
10 + 5y = 25
5y = 15
y = 3
Hello I need plzzzz help
Answer:
The number of hours Jenny babysits
Step-by-step explanation:
Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.
Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x
5(3)+10. This means Jenny will charge the person she babysat for a total of
$15 just for the hours alone.
Hope this helps! :)
Answer:
x represent the number of hours Jenny Babysits
Step-by-step explanation:
since she charges $5 per hour, then X is always how many hours
BRAINLIEST
Can you help me finish these
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: