Answer:
n = (123 - 3a) / 0.1
Step-by-step explanation:
Given:
3a + 0.1n = 123
Solve for n
3a + 0.1n = 123
Subtract 3a from both sides
3a + 0.1n - 3a = 123 - 3a
0.1n = 123 - 3a
Divide both sides by 0.1
n = (123 - 3a) / 0.1
The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1
Your mather bougth 20 kilos of mangoes and atis combined. Mango is P 60.00per kilos and atis is P 40.00 per kilos.If she paod P 1000.00 for 20 kilos, how many kilos of each kind mather bought A.)Ifx is number of kilos mango and number of kilos of atis then the eguation is ? B.) Eguation for the cost of fruits. C.) The system of eguations are ? D.) Solve by any method. E.) Check if your result will satisfy the problem.
Answer:
A) [tex]x+y=20[/tex]
B) Cost function is: [tex]3x+2y = 50[/tex]
C) [tex]x+y=20[/tex], [tex]3x+2y = 50[/tex]
D) [tex]x=10, y=10[/tex]
E) Yes, the result satisfies the equations.
Step-by-step explanation:
Let number of kilos of mango bought = [tex]x[/tex]
Let number of kilos of atis bought = [tex]y[/tex]
Total number of kilos bought = 20
A) [tex]x+y=20[/tex]
Cost of mango per kg = 60
Cost of mango for [tex]x[/tex] kg = [tex]60x[/tex]
Cost of atis per kg = 40
Cost of mango for [tex]y[/tex] kg = [tex]40y[/tex]
Total cost is: Cost of mango + Cost of atis = 1000
B) Cost function is:
[tex]60x+40y=1000\\\Rightarrow 3x+2y = 50 ...... (2)[/tex]
C) System of equations are:
[tex]x+y=20[/tex] ...... (1)
[tex]3x+2y = 50[/tex]...... (2)
D) Using elimination method:
Multiplying equation (1) with 2 and subtracting from (2):
[tex]x = 10[/tex]
By equation (1):
[tex]\Rightarrow y =10[/tex]
E) Putting both the values in LHS of equation (1):
10+10 = 20 = RHS
Putting both the values in LHS of equation (2):
[tex]3\times 10 +2\times 10[/tex] = 50 = RHS
Yes, the result satisfies the equations.
Answer:
What is it?
Step-by-step explanation:
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:
[tex]\approx \frac{11}{40}[/tex]
Step-by-step explanation:
Juice squeezed from first orange = [tex]\frac{4}{17}[/tex] = 0.235
Juice squeezed from second orange = [tex]\frac{3}{10}[/tex] = 0.3
Juice squeezed from third orange = [tex]\frac{9}{20}[/tex] = 0.45
Juice squeezed from fourth orange = [tex]\frac{3}{11}[/tex] = 0.27
Juice squeezed from fifth orange = [tex]\frac{7}{15}[/tex] = 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275 [tex]\approx \frac{11}{40}[/tex]
Therefore, to make it 2 cups of orange juice for the family, about [tex]\approx \frac{11}{40}[/tex] cups of more juice is required.
Answer:
1 5/6
Step-by-step explanation: this is what i got from doing the math. please correct me if I'm wrong
what is 12x12+3405-345+78-3?
Brainliest
Answer:
Dont know thanks me!!!
Step-by-step explanation:
Answer:
3279
Step-by-step explanation:
math
Given
mZQPS = 47°
mZRPS = 3x – 38°
mZQPR = 72 - 95°
Find mZQPR:
Answer:
47
Step-by-step explanation:
HELP! I’m not even ahlf way doen!
cosA - sinA / cosA + sinA= sec2 A - tan2A
Answer:
please mark me brainlist
Step-by-step explanation:
SEC2A -TAN2A
1/COS2A - SIN2A/COS2A
1-SIN2A/COS2A
1-2SINACOSA/COS^2A-SIN^2A
COS^2A+SIN^2A-2SINACOSA/COS^2A-SIN^2A
(COSA-SINA)*(COSA-SINA)/(COSA-SINA)*(COSA +SINA)
(COSA -SINA)/COSA+SINA
Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next
Answer:
Matching the population trend to a contributing factor:
Contributing Factors Population Trends
government-sponsored family control programs Low birth rate
agricultural economies increase in food supply
medical advancements low death rate
Industrial Revolution high birth rate
Step-by-step explanation:
a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.
b) Defining population trends:
1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.
2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.
3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.
4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.
Answer:
The first one is children and adolescents
the second one is adults
the third one is pregnancy
the last one is indivisuals with brittle bones
Step-by-step explanation:
hope this helps :D
Wilfred is feeding his goats. He gives 56% of the bag of feed to the goats in field A and the rest to the goats in field B. If the bag has 21kg of feed, how much do the goats in field A get?
Answer:
[tex]Feeds = 11.76kg[/tex]
Step-by-step explanation:
Given
[tex]Field\ A= 56\%[/tex]
[tex]Field\ B= The\ rest[/tex]
[tex]Bag = 21kg\ feed[/tex]
Required
Determine how much goats in field A, get.
To do this, we simply multiply the percentage feed received by goats in field A by the actual bags of feeds
i.e.
[tex]Feeds = 56\% * 21kg[/tex]
Convert percentage to decimal
[tex]Feeds = 0.56 * 21kg[/tex]
[tex]Feeds = 11.76kg[/tex]
Hence, goats in field A get 11.76kg of feeds
What is the length of side BC of the triangle?
Enter your answer in the box.
units
Answer:
BC is 28
Step-by-step explanation:
7th grade math need asap. Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?
Answer:
5 Laps
Step-by-step explanation:
The question says that she runs the same distance everyday. This shows us that...
2 laps on a running trail and 6 more miles = 4 laps on a running trail and 2 more miles
We can turn laps into the variable L and miles into the variable M to create an equation
2 L + 6 M = 4 L + 2 M
We can start by subtracting 2 M from both sides to get:
2 L + 4 M = 4 L
Now, we can subtract 2 L from both sides
4 M = 2 L
This tells us that 2 laps are 4 miles which means that 1 lap is 2 miles.
Now, we can break down either side of the equation. Let's break down
2 L + 6 M
First, we can turn the miles into laps. We know that 2 miles is one lap so we can divide 6 by 2. Our Equation:
2 L + 3 L
Now, we can simplify this :
5 L
Now we know that she ran 5 laps on saturday.
Hope this Helps!!! :)
Let me know in the comments if this answer was perfect or if I should change anything!!!
Find the value of x and give a reason for the relationship between the angles
Answer:
x = 19
Step-by-step explanation:
(5x + 2)° + 83° = 180°
✍️Reason: both are linear pair angles. Linear pair angles are supplementary.
Solve for x
5x + 2 + 83 = 180
5x + 85 = 180
Subtract 85 from both sides
5x = 180 - 85
5x = 95
Divide both sides by 5
x = 95/5
x = 19
what is the domain of g?
Answer:
(4,-5) is the answer
hope it helps you!!!!!!!
Step-by-step explanation:
.
Answer:
actual answer
Step-by-step explanation:
Solve using the quadratic formula: 5x2 + 5x = -5
please help me:)
For problems 13-19, transcribe the following expressions: (Write it out.)
Example: z + 4 = z plus 4
13. xy
14. 7/t - 4
15. 22 + t 2
16. 51 - x
17. x – y^2
18. 36/12 + 12
19. ab - 16
What is the value of y?
Answer:
Step-by-step explanation:
(12,5)
4/6 + 1/12. Quick answer.
nvm lol 3/4( had to redo
Three less than “x” is equal to 13.
Answer:X=16
Step-by-step explanation:
16-3=13
Answer:16
Step-by-step explanation:16-3=13
What is the slope of the line that
passes through these two points?
(-3, 2)
(4, 2)
Remember, Slope
rise (y2-yı)
run (x2-x1)
Simplify your answer completely.
Answer:
The line has a slope of zero which means the line is a horizontal line.
Step-by-step explanation:
Given that:
The two points are (-3,2) and (4,2)
Slope of a line is given by the formula,
[tex]m = \frac{Rise}{Run} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Here,
[tex]x_{1}=-3,\ y_{1}=2\\x_{2}=4,\ y_{2}=2[/tex]
Putting these values in formula;
[tex]m=\frac{2-2}{4-(-3)} \\m = \frac{0}{4+3}\\m = \frac{0}{7} = 0[/tex]
Hence,
The line has a slope of zero which means the line is a horizontal line.
Someone help me with this please
Graph y = 5/3x - 9
Answer:
The answer is in the attached screenshot
the Y intercept is 9
the slop is 5/3
hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
Answer:jdjej
Step-by-step explanation: so u can give him brainliest
Substitute the given values into the formula, and solve for the unknown variable.
1
A= 2h(B+b); A=44, B = 2, b= 9
h=
Step-by-step explanation:
44 = 2 * h * 11
44 = 22 * h
divide 22 on both sides, and you get the answer
2 = h
A = 2h(B + b)
Disregard my first reply.
Here is the math work.
44 = 2h(2 + 9)
44 = 4h + 18h
44 = h(4 + 18)
44/(4 + 18) = h
44/22 = h
Divide top and bottom by 11.
4/2 = h
2 = h
Done!
1
Need help with this please!!
Answer:
1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6
2. L) 1, -4 M) 6, 4 N) 7, -2
3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8
4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9
5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14
6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0
PLEASE HELP i don’t understand
Answer:
29.7
Step-by-step explanation:
y = 2.7x + 2.7
y = 2.7(1) + 2.7 = 5.4
y = 2.7(2) + 2.7 = 5.4 + 2.7 = 8.1
y = 2.7(3) + 2.7 = 8.1 + 2.7 = 10.8
y = 2.7(4) + 2.7 = 10.8 + 2.7 = 13.5
y = 2.7(10) + 2.7 = 27 + 2.7 = 29.7
Hai's teacher writes the equation 3x - 4 = 2(x + 3) + x. Hai concludes that the
equation has infinitely many solutions. Is Hai correct? Explain.
Answer:
Hai is incorrect, there is no solution to this equation.
Step-by-step explanation:
1.) Expand.
3x-4=2x+6+x3x−4=2x+6+x
2.) Simplify 2x+6+x2x+6+x to 3x+63x+6.
3x-4=3x+63x−4=3x+6
3.) Cancel 3x3x on both sides.
-4=6−4=6
4.) Since -4=6−4=6 is false, there is no solution.
Therefore, this equation has no solution
Divide. Reduce the answer to lowest terms.
3/4 ÷ 1/3
Answer:
when dividing fractions folow these steps:
first, you need to switch the denom and num of the second fraction:
3/4 ÷ 1/3---> 3/4 ÷ 3/1
Next you just switch the sign of the negative to a multiplication sign and multiply:
3/4 ÷ 3/1---> 3/4 x 3/1
3/4 x 3/1 -----> 9/4
9/4, 2 1/4 - these are your answers. Either are correct
Step-by-step explanation:
Answer:
2 1/4
Step-by-step explanation:
HURRY PLEASE IM BEGGING
identify the pairs of supplementary angles (multiple answers “check all that apply”)
Answer:
f
Step-by-step explanation:
what is an equation of the horizontal line that passes through, (5,-7)?
Planet Fitness charges a $5 per month plus a
one-time membership fee of $60.
a.) Write a linear equation for the situation
where x is the number of months and y
is the total cost.
b.) How many months have passed if you
paid $114? SHOW ALL WORK.
What is the oblique asymptote
Answer:
y = x - 5
Step-by-step explanation:
I just got it right on edge2020
determine the equation of the quadratic function represented by the table of values below: x -4 -3 -2 -1 0 1 y -20 -13 -8 -5 -4 -5
Answer: y = -1*x^2 - 4
Step-by-step explanation:
A generic quadratic equation is written as:
y = a*x^2 + b*x + c
we need to find the values of a, b, and c
We have the table:
x y = f(x)
-4 -20
-3 -13
-2 -8
-1 -5
0 -4
1 -5
In the table we can see two things:
y(0) = a*0^2 + b*0 + c = c = -4
Then we know that:
y(x) = a*x^2 + b*x - 4
Now we only need to find a and b.
We also can see that we have symmetry around the point x = 0, this means that x = 0 is the vertex of the quadratic equation, and for a general case the vertex is at:
x = -b/2a
and this is equal to zero:
-b/2a = 0
then we must have b = 0.
So for now, the equation is:
y = a*x^2 -4
Now we can just replace the values of any of the points to find the value of a, for example we can use the point (1, -5)
this means that:
y = -5 = a*1^2 - 4
-5 = a - 4
-5 + 4 = a
-1 = a
Then the quadratic equation is:
y = -1*x^2 - 4
Steve saw 313 birds during a bird-watching trip to Yellowstone National Park. He observed 15 more trumpeter swans than sand-hill cranes. He saw twice as many mountain chickadees as dusky grouses. How many birds of each type did Steve observe if he saw half as many trumpeter swans as dusky grouses?
Answer:
trumpeter swans = t = 41
sand-hill cranes = s = 26
chickadees = c = 164
dusky grouses = d = 82
Step-by-step explanation:
Total birds = 313
Let
trumpeter swans = t
sand-hill cranes = s
chickadees = c
dusky grouses = d
t = 15 + s
c = 2d
d = 2t
t + s + c + d = 313
(15+s) + s + 2d + d = 313
15 + s + s + 2(2t) + 2t = 313
15 + 2s + 4t + 2(15+s) = 313
15 + 2s + 4(15 + s) + 30 + 2s = 313
15 + 2s + 60 + 4s + 30 + 2s = 313
105 + 8s = 313
8s = 313 - 105
8s = 208
s = 208 / 8
= 26
s = 26
t = 15 + s
= 15 + 26
= 41
d = 2t
d = 2(41)
= 82
c = 2d
c = 2(82)
= 164
trumpeter swans = t = 41
sand-hill cranes = s = 26
chickadees = c = 164
dusky grouses = d = 82