Step-by-step explanation:
let x be the number of adults and y number of childrens
so we have. x+y=100 people
and. 12*x+8*y=1056 dollars
x=100-y
replace 100-y to the second equation
12*(100-y)+8y=1056
1200-12y+8y=1056
1200-4y=1055
1200-1056=4y
144=4y
y=144/4=36
so x=100-y=100-36=64
so in this group were 64 adults and 36 childrens
In this group were 64 adults and 36 children.
What is system of equation ?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
let x be the number of adults and y number of children
so we have. x + y = 100 people
and. 12 × x + 8 × y = 1056 dollars
x=100 - y
replace 100 - y to the second equation
12 × (100 - y) + 8y = 1056
1200 - 12y + 8y = 1056
1200 - 4y = 1055
1200 - 1056 = 4y
144 = 4y
y = 144/4 = 36
so x = 100 - y = 100 - 36 = 64
Hence, in this group were 64 adults and 36 children.
To learn more about system of equations from here
https://brainly.com/question/12895249
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Convert 8 ounces into grams. Round your answer to the nearest whole number.
Answer:
227 g
Step-by-step explanation:
1. Ms. Fox asked her class “Is the sum of 4.2 and √2 rational or irrational?” Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify you reasoning.
Answer:
correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sum doesn’t terminate or repeat
MATH 2 HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Vertical stretch of 2
Step-by-step explanation:
Since there is no fraction, it wouldn't be a shrink, and there's a negative symbol therefore it would also be a reflection, and it wouldn't translate down because it's not inside parenthesis or the square root, and it would actually translate up three, therefore it's a vertical stretch of two
The Tucker family had a meal catered for wedding anniversary dinner. Th cost of the dinner was $489 they had a coupon for 10% off and there was a 5% sales tax what was the total cost including the discount and sales tax nearest cent
Answer:415.65
Step-by-step explanation:
Answer:
415.65
Step-by-step explanation:
trust me
What is the average rate of change for a
babysitter that earns $9 for 1hr and $36
for 4 hrs?
3
Graph: y – 3 =} (x + 2)
Answer:
f
−
1
(
x
)
=
x
−
3
Step-by-step explanation:
Juan has a bottle with 50 liters of Power Aid in it. He is going to divide the Power Aid evenly between 8 of his friends after football practice. How m
will each friend get?
42 liters
B 400 liters
C 6.25 liters
D 12.5 liters
C 6.25 litres as 50/8 = 6.25
Answer:
C. 6.25 liters
Step-by-step explanation:
50 ÷ 8 = 6.25
Tyler looks at a map on his phone. He zooms in until the map scale for centimeters to kilometers is 0.3 to 1/5. How many centimeters does the map use to show 1 kilometer?
one kilometer is equal to a hundred thousand centimeters
12 cups equal:
A. 3 gallons
B. 6 quartz
C. 2 gallons
D. 24 quartz
E. 6 pints
Answer:
6 pints
Step-by-step explanation:
I just asked Alexa
Which point lies on the line that passes through the
point (9,-5) and has a slope of -6?
Answer:
y=5
Step-by-step explanation:
I am pretty sure that is the answer but dont rely completely on me
Use the diagram of trusses for a railroad bridge.
AM I CORRECT DO I NEED TO ADD AN ANSWER OR TAKE AWAY ONE
You should take off E and add C and D because perpenidcular bisector means not only does it form a right angle to the line, it also bisects it, or cuts it into 2 equal portions. Also, If you look at triangles BED and BEF, they are congruent as both have right angles and equal sides BE, and DE = EF. So, BD = BF.
E is wrong because you don't know if line AC is perpendicular to DA, nor do you know if it's parallel to DF. And you don't know if DA is parallel to BE either. You ONLY know that BE is the perpendicular bisector of DF.
PLSSS HELP this is for a rlly big test and i still have 20 questions left
Answer:
B
Step-by-step explanation:
you subtract .5 of an inch from 2.5 and then you multiply it with the width and length. once you multiply it should be 35 cubic feet... I'm positive
So who wants to help mehhhhh
Answer:
I will
Step-by-step explanation:
Can somebody help me please I needed this for the longest (3x+2) and (x-7)
Answer:
They intercept at (-4.5, -11.5)
Step-by-step explanation:
First to awnser will the question correct will get brainlyist
The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
-49%
Step-by-step explanation:
i know this one by doing a long math formula
Answer:
49.0%
Step-by-step explanation:
take the 2 numbers and find the difference
51 - 26 = 25
take the difference and divide it by the orginal number
25÷51 = 0.49019607843
then times that number by 100
(25÷51) × 100 = 49.0196078431
so the number was decreased by 49.0 %
Solve each of these equations.
3(n+2)=9(6-n)
Answer:
n= 4
Step-by-step explanation:
3n+6= 54- 9n
12n= 48
n=4
Answer:
4
Step-by-step explanation:
3n+6=54-9n
-3n
6=54-12n
-54
-48=-12n
N=4
If bill walked 12 feet and Jackson walked 1/4 more than that how many feet did Jackson walk
Answer:
He walked 15 feet
Step-by-step explanation:
its kinda hard to explain for me, but thats the answer :)
If the linear regression is y = 5.21 + 0.35x, what is the value of the slope?
Answer:
Slope is 0.35
(O, 5.21)
Step-by-step explanation:
Use y= m x + b
Y=0.35 + 5.21
Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries. If Joy wants to use 6 cups of blueberries in the fruit salad, how many cups of strawberries will she need to use? Use Scratchpad to draw a tape diagram to show your work.
Answer:
Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Step-by-step explanation:
Given,
Cups of blueberries used for 3 cups of strawberry = 2
Ratio of cups of blueberry to strawberry = 2:3
Joy wants to use 6 cups of blueberries.
Let,
x be the cups of strawberry for 6 cups of blueberries.
Ratio of cups of blueberries to strawberries = 6:x
Using proportion;
Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries
Product of extreme = Product of mean
Dividing both sides by 2
Write an equation of a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3
Answer:
y = (-3/5)x + 4
Step-by-step explanation:
Parallel lines have the same slope.
So the slope to the other line would be -3/5 as well.
Slope-intercept form is y = mx + b where m is the slope.
So you substitute the slope in making it y = (-3/5)x+b.
To find b, the y-intercept, you have to plug in the point for y and x in it. So you use the point (5,1) for it. That would get to 1 = (-3/5)5 + b.
To simplify that, it would get to 1 = -3 + b
Then you add 3 on both sides getting to b = 4.
Then you substitute b in, getting y = (-3/5)x + 4.
Hope this helped! If not, please let me know! <3
An equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.
Given that, a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
We know that, the slope of a line parallel to given line is m1=m2
By comparing y= (-3/5)x -3 with y=mx+c, we get m= -3/5
So, the slope of parallel line is -3/5
Now, put m= -3/5 and (x, y)=(5, 1), that is
1=-3/5 (5)+c
c= 4
So, equation with m=-3/5 and c=4, we have y=-3/5 x+4
Therefore, an equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
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what is 1,935,825 in scientific notation ?
answer:1.935825×10 to the sixth power
step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.
TBH I don't know what grade it is but who ever answers this is gonna get brainlest. The question is if Jonny had a coupon for a 74% off and he got something for $259 how much will he have to pay.
20 plates in 5 stacks = how many plates per stack
Answer:
there should be 4 plates per stack
Step-by-step explanation: hope this helps
Answer:
4 stacks of plates
Step-by-step explanation:
20 divided by 5 is eqaul to the amount of plates per stack, which is 4
Helps me solve this problem please please
IT LOOKS LIKE transtive:)))))
Answer:
D
Step-by-step explanation:
who loves beetle juice
Answer:
i literally just finished watching it lol
Answer:i do becuase it is a funny movie :))
Step-by-step explanation:
Find all whole values for y for which the double inequality is true: -5
Answer:
The values of y for which the inequality is true are;
-4,-3,-2,-1,1,0,1
Step-by-step explanation:
Here, we want to give all the values of y for which the given inequality is true
We have the inequality as;
-5 < y < 2
This can be read as -5 is less than 5 which is less than 2
This means that the correct y-values lie between -5 and 2 which are not inclusive
So the correct values of y in this case are;
-4,-3, -2, -1 , 0, 1
Given f(x)=2x+1, find the range value if the domain value is 1.75. *
Answer:
4.5
Step-by-step explanation:
Domain means that value of x and range means the value of f(x) so
[tex]f(x)=2x+1 \\f(1.75)=2(1.75)+1\\f(1.75)=4.5[/tex]
so the range value is 4.5
8x + 4.3= 2(x+6) + 6x - 7.7
Answer:
Step-by-step explanation:
8x=2x+12+6x-7.7-4.3
8x=2x+12+6x-12
8x=8x
x=x
X could be any number
Example : If x=4
4*8+4.3=2(4+6)+6*4-7.7
32+4.3=20+24-7.7
36.3=36.3
It will be nice if you give me brainliest.Good luck!
Arnold puts $580 in a savings the account pays 3% simple interest. how much interest will he earn in 5 years
Answer:Arnold earns $87 of interest in 5 years.
Step-by-step explanation:
find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7
Answer:
TSA=115.5cm²
Step-by-step explanation:
T.S.A=3πr²
Given r=3.5cm
eq.
3×22/7×3.5×3.5
=3×22×0.5×3.5
=115.5cm²
Answer:
[tex]19.25cm^{2} \\[/tex]
Step-by-step explanation:
Formula
[tex]\frac{\pi r^{2} }{2}[/tex]
Solve
[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=
[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]