Answers
Answer: 275 adults and 130 children
Step-by-step explanation:
First, find the value of one variable by rearranging a equation:
[tex]a+c=405\\c=405-a[/tex]
Substitute it into the other equation and solve for a:
[tex]12a+5c=3950\\12a+5(405-a)=3950\\12a+2025-5a=3950\\12a-5a=3950-2025\\7a=1925\\a=\frac{1925}{7} =275[/tex]
Use the a-value to find b by substituting it into the rearranged equation:
[tex]c=405-a=405-275=130[/tex]
Therefore, the answer would be:
[tex]\left \{ {{a=275} \atop {c=130}} \right.[/tex]
Related Questions
Given: -3x+y=1. Write the equation In general form Ax + By + C =0.
3x - y = -1
3x = y + 1 = 0
-3x + y -1=0
Answers
The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.
So,
Equation I = (3x + y = 1) and
Equation II = (6x + 2y = 2)
= { 2(3x + y) = 2}
= 3x + y = 2/2
= 3x + y = 1
So, The given equations are 3x + y = 1 and 3x + y = 1.
Thus, there is one equation in two variables.
So, the given equations have an infinite number of solutions.
Answer:
1st option; 3x-y=-1
Step-by-step explanation:
-3x + y = 1
we can divide through by -1 so that the 'x' value is positive:
3x - y = -1
Each factory at a candy company has 498 workers. There are 12 factories. )
How many workers are employed at each candy company
Answers
Answer:
5,976 workers
Step-by-step explanation:
498 times 12 = 5976
Answer: 41.5
Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.
How can the equation of a parabola be derived when given the focus and the directrix?
Answers
Answer:
If the focus is to the right of the directrix, then the parabola opens to the right and p>0 . If the focus is to the left of the directrix, then the parabola opens to the left and p<0 .HOPE ITS HELP
For art class, you need to make a scale drawing of the Parthenon using the scale 1 in. = 5 ft. The Parthenon is 228 ft long.
How long should you make the building in your scale drawing?
The building should be (________) inches long. Round to the nearest tenth if necessary.
Answers
Answer:
228/5= 45.6 inches, rounded is 46 inches
3 movie tickets cost 3690$. At this rate, the cost per ticket is $....
Answers
Answer: The cost per ticket is $1,230.
Explanation: 3,690/3 = 1,230.
Answer: The cost for each ticket is $1,230.
Step-by-step explanation:
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch. How much does it cost to fund 4.5 inches of the construction?
Answers
Answer:
=$114.750
Step-by-step explanation:Length of new board cast tower=4.5 Inches
Cost of construction(per inch)=$25.50
To find cost=?
=25.50x4.5
=$114.750
...................................................................................
The required cost of the construction of a 4.5-inch tower is $114.75.
Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.
Thus, the required cost of the construction of a 4.5-inch tower is $114.75.
Learn more about simplification here:
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Mrs bai bought 4 boxes of handkerchief for $31.20. There were 12 handkerchief in the box. Find the cost of the 1 handkerchief
Answers
Answer:
0.65 cents
Step-by-step explanation:
12x4=48 total
31.20/48 = 0.65 cents each
solving for G
goal is to isolate the variable by undoing in the reverse of the order of operation.
4=2(3g+2)
Answers
Answer:
g = 0
Step-by-step explanation:
4 = 2(3g + 2) ← divide both sides by 2
2 = 3g + 2 ( subtract 2 from both sides )
0 = 3g , then
g = 0
On a team, 4 girls and 3 boys scored a total of 57 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 3 boys is 15. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Each girl scored (BLANK) points.
Answers
Answer:
Each girl scores 8 points while each boy scores 4 points
Step-by-step explanation:
Let the number of point scored by the 7 girls and 2 boys be x and y respectively.
Thus, since 7 girls and 2 boys scored a total of 64 points, then;
7x + 2y = 64 - - - (1)
Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;
7x - 2y = 48 - - - (2)
Add eq(1) to (eq 2) to get;
14x = 64 + 48
14x = 112
x = 112/14
x = 8
Put 8 for x in eq(1) to get;
7(8) + 2y = 64
56 + 2y = 64
2y = 64 - 56
2y = 8
y = 8/2
y = 4
Thus,each girl scores 8 points while each boy scores 4 points
hope this helps .
Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.
As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.
At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:
"I wisht they'd strike game somewheres, an' go away an' leave us alone."
"They do get on the nerves horrible," Henry sympathized.
They spoke no more until camp was made.
The introductory paragraph to this section of text starts with breakfast and ends with the setting of Arctic sun. How does this short paragraph add to the conflict in the story? (5 points)
It suggests time is running out before the story even begins.
It suggests the cold will only increase in the coming days.
It suggests the days are intense but beautiful.
It suggests the characters do not get far during the short days. I AM GIVING 100 POINTS!!!
Answers
Answer:
It suggests the days are intense but beautiful.
Step-by-step explanation:
According to the introductory paragraph that starts with breakfast and ends with the setting of Arctic sun. This short paragraph adds to the conflict in the story because It suggests the days are intense but beautiful.
Although the question is incomplete, i can infer that the story you are referring to is White Fang by Jack London, where the story is told of the people talking about events happening around them.
They talk about the sun and the work around them and also the cold. How thsir short conversation added to the conflict in the story is that It suggests the days are intense but beautiful
What is the circumference of the circle shown below? Use
3.14 for it, round your answer to the nearest tenth.
A) 4.4 yd
B) 8.8 yd
C) 43.9 yd
D 87.9 yd
Answers
Answer:
Its B
Step-by-step explanation:
what is the value of x (100 points)
Answers
The value of x in the given triangle is 25
Missing sides of right triangle
The triangle shown is a right triangle.
Each side of the triangle can be found by using the Pythagora's theorem
The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"
Applying the Pythagora's theorem:
[tex]x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25[/tex]
Learn more on missing sides of right triangle here: https://brainly.com/question/23987176
Select the correct answer.
The function Fx) = sin(x) is graphed on the domain (0,2*pie). Which statement is true about its leftmost point, where x =0 ?
A. The point is minimum
B. The point is maximum
C. The point is between an x-intercept and a maximum
D. The point is an x intercept
Answers
Answer:
D. The point at x = 0 is x-intercept itself.
Step-by-step explanation:
First, substitute x = 0 in f(x) = sin(x) and examine the point and values.
When x = 0, sin(0) = 0.
Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.
The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.
Thus, A and B are not correct choices.
The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.
Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.
Answer: D is Correct on edmentum/plato
Step-by-step explanation:
Solve each equation for x.
a(x-b)+bx+c=a+b
Answers
Answer:
[tex]x=\frac{ab+a+b-c}{a+b}[/tex]
Step-by-step explanation:
a(x−b)+bx+c=a+b
Step 1: Add ab to both sides.
−ab+ax+bx+c+ab=a+b+ab
ax+bx+c=ab+a+b
Step 2: Add -c to both sides.
ax+bx+c+−c=ab+a+b+−c
ax+bx=ab+a+b−c
Step 3: Factor out variable x.
x(a+b)=ab+a+b−c
Step 4: Divide both sides by a+b.
[tex]\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}[/tex]
[tex]x=\frac{ab+a+b-c}{a+b}[/tex]
Hope this helped! :)
name a ray with endpoint u
Answers
i don't know hindi ko po alam
a and b
alam ko
I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.
3. How many times did Katrina run 1 mile?
Answers
Answer:
Katrina ran 1 mile 3 times! I hope this helps you!
I need a step by step explanation as well as work
Answers
Answer:
x = 2
m = 15/4
a = 5/4
Step-by-step explanation:
When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.
We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.
x/3 = 2/3 ⇒ x = 2
__
The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...
a/3 = 5/(3+6+3) = 5/12 ⇒ a = 5/4 = 1 1/4 . . . . . multiply by 3
and
m/(6+3) = 5/12 ⇒ m = 15/4 = 3 3/4 . . . . . multiply by 9
__
x = 2
m = 15/4
a = 5/4
Please help me it’s due in 12 minutes also pls explain why
Answers
what numbers can multiply to get -55 but also add to get -6
Answers
Answer: 1, 5, 11, 55
A 3-gallon bottle of fabric softener costs $51.36. What is the price per cup?
Answers
Answer:
$1.07
Step-by-step explanation:
16 cups per gallon
16*3=48cups
51.36/48=1.07
Becky is planning a 2 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon
About
how many gallons will her car use on the trip?
O 12
O 70
067
034
Answers
The number of gallons of fuel required for 200 miles will be 6.7 gallons. The correct option is C.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that Becky is planning a two 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon.
The total miles covered in two trips will be,
100 + 100 = 200 miles
The amount of fuel will be calculated as:-
Fuel = 200 / 30
Fuel = 6.7 gallons
Therefore, the fuel quantity will be 6.7 gallons.
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what is 12-(-3)-2(4)
Answers
Answer:
7
Step-by-step explanation:
12-(-3)-2(4)
12-(-3)-8
15-8=7
Ok done. Thank to me :>
Find the surface area of the rectangular prism.
6 yd
2 yd
7yd
Answers
Answer:
136
Step-by-step explanation:
The formula you use is as follows:
A=2(WL+HL+HW)
You plug in each number to get this equation
A=2[(6*7)+(2*7)+(2*6)]
A=2(42+14+12)
A=2(68)
A=136
can someone plssssssss help me
Answers
Answer:quizlet helps
Step-by-step explanation:
Help plz no links will mark best answer
Answers
Answer:
20
Step-by-step explanation:
you know the ratio is 4:3 so you do 4+3=7 then you do 140÷7=20 so I bar represents 20
The ratio of girls to boys in a bicycling club was 2:3 they were 27 boys how many total members were there in the club
Answers
Answer:
45
Step-by-step explanation:
Ratio is 2girls:3boys
if there were 27 boys, we would have the following ratio:
2g xg
--- = ---
3b 27b
To get from 3 to 27, multiply by 9.
Now, do the same for the numerator.
Now we know we have 18 girls!
We can add:
27 boys and 18 girls=
45 members!
5. A spool of nbbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, how much remains on the spool? 26 fee 22 feet 20 feed 18 fed
Answers
Answer:
It is 18 feet
Step-by-step explanation:
The remaining spoon of ribbon will be; 22 feet.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then
WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.
The remaining spool can be calculated by the difference;
24 feet of ribbon - 2 yards of ribbon
24 - 2 = 22
Therefore, the remaining spoon of ribbon will be; 22 feet.
To learn more about the unitary method, please visit the link given below;
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It takes 6 hours to clean and detail a luxury car. During the morning of
cleaning, the workers were able to clean for 4 hours. If the variable t stands
for the amount of time the workers have left to clean the windows after lunch,
which of the following units could apply to this variable?
Answers
When a data set has an even number of elements, the median is calculated by
A averaging the middle two values
B. subtracting the middle two values
C. eliminating any outliers and recalculating the median
D. eliminating the smallest data value from the set and recalculating the median
Answers
Answer:
A averaging the middle two valuesStep-by-step explanation:
When the data set has odd number of elements, the median is the middle value.
When a data set has an even number of elements, the median is calculated by averaging the middle two values.
Kevin and Randy Muise have a jar containing 34 coins, all of which are either quarters or
nickels. The total value of the coins in the jar is $5.30. How many of each type of coin do
they have?
Answers
Answer:
20 quarters quarters 14 nickles
