The algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74
According to the question,
Cost of 1 bag of lemons = $x
Cost of 8 bags of lemons = 8*x = 8x
Cost of 8 bags of lemons = Total cost - cost of the egg
8x = $39.62 - $6.74
Hence, the algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74.
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A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?
Answer:
The length of the entire race is 9,5km
Step-by-step explanation:
Required
Determine the length of the race.
To aid my explanation, I have added an attachment which shows the triangular course.
From the attachment, we have:
A as the starting point and the following measurement;
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]
[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]
[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]
[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]
[tex]\angle A = 77^{\circ}[/tex]
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 92^{\circ[/tex]
[tex]c = 4.4km[/tex]
Apply sine rule
[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Split to solve for a and b
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Make a the subject
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]a = 4.403 * sin(77^{\circ})[/tex]
[tex]a = 4.403 * 0.9744[/tex]
[tex]a = 4.3km[/tex]
Make b the subject
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
[tex]b = 4.403 * sin(11^{\circ})[/tex]
[tex]b = 4.403 * 0.1908[/tex]
[tex]b = 0.8km[/tex]
The length of the race is:
[tex]Length = a + b + c[/tex]
[tex]Length = 4.3km + 0.8km + 4.4km[/tex]
[tex]Length = 9.5km[/tex]
m-3/18=11/18 What is m??
Answer:
I think m is a variable
Step-by-step explanation:
because a variable is a letter representing a unknown amount
Step-by-step explanation:
hope this will help you.
If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen
Answer: A. splitting water into hydrogen and oxygen
Step-by-step explanation:
Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.
Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.
A, splitting water into hydrogen
Evaluate y + (x2 + y) when x = 0.4, y = 3, z =
Answer:
6.16 is the answer
Step-by-step explanation:
3 + (.4^2 + 3)
3 + 3.16
6.16
What is 5n = 185 what’s the n=__?
249 = 3y y=__?
-6w = 354 w=__?
1. n = 37
isolate n by dividing both sides by 5
2. y = 83
isolate y by dividing both sides by 3
3. w = -118
isolate w by dividing both sides by -6
HELP ME IT WOULD MEAN A LOT
Answer:
123
Step-by-step explanation:
72+51=123
123 - 72 = 51
Answer:
72+51=123
123 - 72 = 51
Step-by-step explanation:
help me please :> I would really appreciate it.
Answer:
no
yes
no
Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.
Hope it helped!!!
What is the circumference of a circle with a diameter of 15 inches
Answer:
C=47.1
Step-by-step explanation:
take the diameter(15) and multiply it by pi(3.14).
15 x 3.14 = 47.1
If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?
Answer: D
Step-by-step explanation: correct on edg 2021
How do you solve this equation for x?
-3(x+4) = x - 4
Step-by-step explanation:
(x+4)-x=-4+3
X+4-x = -1
x-x = - 1-4
-x = - 5
Please help due today
Answer:
14 miles
Step-by-step explanation:
3 + 4 + 3 + 4 = 14
I NEED HELP AGAIN 4.0
Answer:
Move the dot at the axis one to the left and one down move the other dot to (7,0)
Step-by-step explanation:
Find the dot at the origin (0,0)
Move it to (-1,-1) which is one unit to the left and one unit down.
Select other dot and place it at (7,0)
Click submit
Find the surface area of the triangular prism
Answer:
168.43524
Step-by-step explanation:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1
2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524
A 30 ft water slide forms a 45 degree angle with their surface of the water. How high is the top of the slide bouncer nearest whole number
Answer:
21ft
Step-by-step explanation:
sin(45°)=height/30
height=30sin(45°)
h=30×√2/2=15√2≈21.213(21ft to the nearest whole)
The height should be 21 ft.
Given that,
A 30 ft water slide forms a 45 degree angle with their surface of the water.Based on the above information, the calculation is as follows:
[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]
≈21.213
= 21 ft
Learn more: brainly.com/question/17429689
Can someone help me please
I’ll mark as brainliest
Answer true
Step-by-step explanation:
5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?
Answer:
5xy
Step-by-step explanation:
I'm going out on a limb and assuming exponents.
[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]
We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.
Shane took out a 5.5-year loan from the bank in order to purchase at $12,000 motorcycle. At the end of the loan, he had paid $3267 in interest. Find the interest rate. Help me please
Answer:
4.95%
Step-by-step explanation:
3,267 ÷ 5.5 = $594 interest per year
$594 ÷ $12,000 = 0.0495 aka 4.95%
Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)
Answer:
(-1,1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)
make ,me as brainlist
Tell me if this is right or wrong and if you can you fix it
Answer:
Your answers are correct; decreases by 31.50
Step-by-step explanation:
(5x^2-4X + 7) - (4x + 2)
Write the point-slope form of the equation of the line through the given point with the given slope. through: (2, 2), slope = 3
Answer:
y-2=3(x-2)
Step-by-step explanation:
point slope form:
y-y₁=m(x-x₁)
y-2=3(x-2)
En que bote se hizo más Rosa más intenso en el de pintura roja y blanca en el cada color
Please answer this as soon as you can I really need this done
Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot,
how many tiles dld he need?
87tiles 96tiles 78tiles
Answer:
96
Step-by-step explanation:
Total area is 12*8=96 square feet
Each tile is 1 square foot
The required tiles are therefore 96/1=96
What is the quotient of the complex numbers below? (5-5i) - (3 - i) ©
A. 1 + i
B. 1 - i
C. 2 + i
D. 2 - i
Answer:
2-4i
Step-by-step explanation:
(5-5i)-(3-i)=5-3-5i-(-i)=2-5i+i=2-4i
Answer:
the answer is D.2-i
Step-by-step explanation:
5-5i-3+i
4-2i
2-i
Please help me!!!!
3. Compute the product axb in each of the
following cases:
a) a = -7.5
and b=0.25 ;
b) a = -2.5
and b=-18;
c) a = -812
and b=-0.75;
d) a = 4.25 and b= -326.
Answer:
a). -7.5*0.25 = -1.875
b). -2.5*(-18) = 45
c). -812*(-0.75) =609
d). 4.25*(-326) = -1385.5
A student answered 40 problems on a test correctly and received a grade of 80%. How many problems were on the test, if all the problems
were worth the same number of points?
Answer:
Step-by-step explanation:
80x/100 = 40
80x = 4000
x= 50 problems
Answer:
50 problems
Step-by-step explanation:
40÷2 =20 = 40% 20÷2 =10 = 20%
if 10 =20% then 10 × 5 = 50 or 80%
(overthinking)
Spencer had a sack filled with 65 9/10 pounds of cement. He removed some of the cement from the sack and put it into three buckets. He put 8 1/10 pounds of cement in each bucket. Spencer says he has about 42 pounds of cement left in the sack. Is his statement reasonable?
Answer:
No the statement isnt reasonable
Step-by-step explanation:
Factor 60 - 36w to identify the equivalent
expressions.
Answer:
Step-by-step explanation:
−36w+60
=12(−3w+5)
12(−3w+5)
find the area of the figure
Answer:
24 sq units
Step-by-step explanation:
Answer:
24 square units
Step-by-step explanation:
The boxes that only have a half-shaded in can be counted as 0.5.
If you combine these half-shaded boxes, it will give you 1.
Since there are 8 half-shaded boxes, that equal to 0.5, you can multiply these together and get 4.
Add this to the 20 whole boxes, and you will get 24.