The possible number of person is 5.
Linear equation: an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution
Let,
The total amount of coffee= c
The total amount of milk = m
Total number of person = p
according to the question, c and m can't be .
Given,
Total amount of milk and coffee is 8 oz.
so,
[tex]\frac{c}{4} +\frac{m}{6} =8\\[/tex]
[tex]\frac{3c+2m}{12} =8[/tex]
So, this is linear equation.
3c+2m=8×12
[tex]$$ \\$3 \mathrm{c}+2 \mathrm{~m}=96$[/tex]
and
[tex]\eq[/tex][tex]c+m=8p[/tex]
2(c+m) = 8p×2
[tex]2c+2m=24p[/tex] ...(2)
By equation 1 and 2
[tex]3c+2m=96\\ 2m=96-3c\\ 2c+2m=16p\\ 2c+96-3c=16p\\96-c=16p\\96=16p+c\\[/tex]
16p and 96 both are divisible by 16
So, let c =16k
Now 3c+2m =96
3(16k) +2m= 96
48k =2m= 96
k can't be 0, otherwise c is 0 and k cannot be 2, otherwise m is 0. Therefore k must be 1,
[tex]48+2m=96\\2m=96-48\\2m=48\\m=\frac{48}{2} \\m=24[/tex]
BY putting m=24 in equation (1)
[tex]3c+2m=96\\3c+2(24)=96\\3c+48=96\\3c=96-48\\3c=48\\c=\frac{48}{3} \\c=16[/tex]
Therefor, the number of person is 5
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Simplify the Polynomial and please show your work so I can do more on my own.
(btw ! will stand for rise to the power)
5xyx!3 + 7yxx!3 - 5x!2x!3 - 5x!2zx. + 3zx!3
Answer:
no
Step-by-step explanation:
Jake is traveling 13 mph in his boat. After 4 hours, how far will he have traveled?
Answer:
Step-by-step explanation: First create an equation. So it'll be...
M(h)=13h (M= Miles & H = Hours)
Plug in the 4 where the h is at so...
M(4) = 13(4)
So then multiply 13 by 4 and you get 52.
So the answer is..
At 4 hours Jake would have traveled 52 miles.
or the equation is
M(4) = 52
Mr. Gonzalez invested $4,200 into an account that earns a simple interest rate of 3% per year.
What is the amount of interest Mr. Gonzalez will earn at the end of one year?
Answer:
4326
Step-by-step explanation:
4200/100x3=126
4200 + 126=4326
Answer:
b
Step-by-step explanation:
4326
Translate the sentence into an equation.
Six less than the product of 7 and a number is equal to 2.
Use the variable x for the unknown number.
Answer:
6 < 7 * x = 2
Step-by-step explanation:
Factor the equation 2x^2+5x+3
Answer:
(2x+3)(x+1)
Step-by-step explanation:
Answer:
( + 1 ) ( 2 + 3)
Right answer please
Calculate (3.012 x 10−8) + (4 x 10−8).
3.016 x 10−16
7.012 x 10−16
7.012 x 10−8
7.012 x 20−8
Answer: 7.012 x 10−8 ==> Option 3
Step-by-step explanation:
(3.012 x 10−8) + (4 x 10−8)=
(3.012+4) x 10−8=
(3.012+4.000) x 10−8=7.012 x 10−8 ==> Option 3
Calculating the expression (3.012 x 10−8) + (4 x 10−8) is 7.012 x 10^(-8).
How to calculate (3.012 x 10−8) + (4 x 10−8).To calculate (3.012 x 10^(-8)) + (4 x 10^(-8)), we can add the numbers as follows:
(3.012 x 10^(-8)) + (4 x 10^(-8)) = (3.012 + 4) x 10^(-8) = 7.012 x 10^(-8)
So, the correct answer is 7.012 x 10^(-8).
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Daniel can paint a house in 10 days, while his father can paint the same house in 6 days. If they work together, how long will they finish the job? I need asap answer plssss
Answer:
3[tex]\frac{3}{4}[/tex] days
Step-by-step explanation:
Let the amount of work be x.
Daniel:
10 days = x
1 day = [tex]\frac{1}{10}[/tex]x
Father:
6 days = x
1 day = [tex]\frac{1}{6}[/tex]x
Together:
1 day = [tex]\frac{1}{10}[/tex]x + [tex]\frac{1}{6}[/tex]x
= [tex]\frac{6}{60}[/tex]x + [tex]\frac{10}{60}[/tex]x
= [tex]\frac{16}{60}[/tex]x
= [tex]\frac{4}{15}[/tex]x
No. of days = [tex]\frac{15}{15}[/tex]x ÷ [tex]\frac{4}{15}[/tex]x
= [tex]\frac{15}{15}[/tex]x × [tex]\frac{15}{4}[/tex]x
= [tex]\frac{225}{60}[/tex]
= 3[tex]\frac{3}{4}[/tex]
Find the original ordered pairs.
What is 800 rounded to the nearest ten
Answer:
800
Step-by-step explanation:
What is an equation of the line that passes through the point (8,-4) and is parallel to the line x-4y=12?
The equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12 is x - 4y = - 8.
Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.
In the question, we are asked for the equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12.
The given line can be shown as:
x - 4y = 12,
or, - 4y = - x + 12,
or, y = x/4 - 12/4,
or, y = x/4 - 3.
Comparing it to the slope-intercept form of a line, y = mx + b, we get the slope, m = 1/4.
The line parallel to this will also have the slope, m = 1/4.
The required line passes through the point (8, -4).
Using the one-point formula, (y - y₁) = m(x - x₁), we can write the required equation as:
y - (-4) = (1/4)(x - 8),
or, y + 4 = x/4 - 2,
or, y = x/4 + 2,
or, x/4 - y = -2,
or, x - 4y = - 8.
Thus, the equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12 is x - 4y = - 8.
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Segment PQ has endpoints P(-3, 4) and
Q(1, 7). Find the midpoint and length of
the segment.
-2
Mid point of the length segment PQ has endpoints P(-3, 4) and
Q(1, 7) is (1,11/2).
Mid point = {(-3+1)/2, (4+7)/2}
Mid point = (1,11/2)
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.
A line is said to be a bisector when it divides another line into two identical segments. The line will be split at its midpoint by the bisector. A compass and straightedge can be used to determine the midpoint of a line segment. See creating a line segment's perpendicular bisector.
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15 in
The perimeter of this regular hexagon is
A)
15 inches.
B)
21 inches.
72 inches
D)
90 inches.
Answer:
a 100000000000000000000% i hope
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
15 times the six sides of the hexagon
“I am a good student” is an example of a positive self-talk statement.
true or false
It doesn’t matter how much sleep you get before the night of a big test.
true or false
Answer:
true
Step-by-step explanation:
Answer:The first one is true and the second one is false
Step-by-step explanation:
Neeeeeeeeeeeeeeeeed heeeeeeeeeeeeeeeeelp!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to 8 - (6r + 2)
-6r + 6
2r + 2
6r + 10
-6r + 10
Answer: -6r + 6
Hope this helps :)
Answer:
-6r + 6
Step-by-step explanation:
A number is multiplied by 4, then 5 is added. The result is 21. Write an equation to represent this situation.
Answer:
4 x 4 + 5= 21
Step-by-step explanation:
A coffee machine dispenses 8-ounce cups of coffee automatically. the amount of coffee may vary by 3%. what are the least and greatest number of ounces the coffee machine may dispense?
If a coffee machine dispenses 8-ounce cups of coffee automatically. and the amount of coffee may vary by 3% then the least and greatest number of ounces the coffee machine may dispense is 7.76 and 8.24 respectively.
The least and greatest number of ounces the coffee machine may dispense can be calculated by converting the percentage given.
As, 3% = 3 / 100
3% of 8 = 3 / 100 × 8 = 24 / 100 = 0.24
Now by adding and subtracting the calculated value to 8, the least and greatest number of ounces can be determined.
8 - 0.24 = 7.76
8 + 0.24 = 8.24
Hence, the least ounces the coffee machine may dispense is equal to 7.76 and the greatest number of ounces the coffee machine may dispense is calculated to be 8.24 ounces.
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Please help!! I need help.
Answer:
14, 3, 5, 6.25, 10
Step-by-step explanation:
The scale is 1 inch = 0.5 ft.
Either divide the inches by 2 or multiply the feet by 2
Answer:
couch)14
chair)3
lamp)5
bed)6.25
table)10
Step-by-step explanation:
so, the whole question basically asks you to convert the units back and forth, (its very similar to the conversion of currency) & There are many ways to do this, ill show one of the methods, if u don't understand then i can show u another way....
ill do the first two-
COUCH-
1 inch: 0.5 ft
x inch:7ft { x is the missing value ((model length of couch)) }
Now cross multiply
0.5x=7*1
x=7/0.5
x=14 inches
CHAIR-
1 inch: 0.5 ft
6 inch: x
Do the same step -Cross multiply
1x=0.5*6
x=3/1
x=3
What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?
I couldnt find a solution for this on here so Ill post it :)
Its A: x=142
Answer:
142!!!!
Step-by-step explanation:
Just got 100 on edge! Love you, you are doing amazing keep going!
Answer:
A
Step-by-step explanation:
Is x = 2 a solution of the equation 8 - 5x = 3?*
(5 Points)
O Yes
O No
Answer:
No sir
Step-by-step explanation:
first you will try to get x by its self.
so were it says -5x = 3 you wanna do
+5 +5 on both sides to cancel out 5 so that would be
X = 8 because -5 + 5 is 0 which in this case will be left with X
you already have 8 so x = 8
Hopefully this helps
Helppppppppppp ppppppppp
Answer:
Undefined
Step-by-step explanation:
The line is vertical and therefore has an undefined slope.
Sakhi burns 4,350 calories hiking 15 miles of the Appalachian Trail. How many calories does he burn each mile?
Answer: He burns 290 calories each mile!
Step-by-step explanation: He burned a total of 4350 calories so all you have to do is divide 4350 by 15 which is 290 calories!
Answer:
290 calories burned per mile
Step-by-step explanation:
Just divide 4,350 by 15 to get the number of calories per mile.
4,350 / 15 = 290
I hope this helps!
help plzz i'll give brainliest istg but don't use for points cuz its annoying
Answer:
124
Step-by-step explanation:
Answer:
the correct answer is a. 124°
Step-by-step explanation:
:::::::::
please help me asap!!!!
Answer:
i think it means to just plot j at -6 on the x axis and 1 up on y axis
Answer:
Step-by-step explanation:
J has coordinates ( 6, 1) when reflected over the x-axis
(x, y) reflected over x-axis becomes ( x, -y)
J' has the coordinates ( 6, -1)
If f(x) = -x + 6, find f(-3).
Find f
The value of function f when x is (-3) is 9.
To solve the value of function for the value of x as -3, we will simply keep the value of x in the equation.
Rewriting the equation
f(x) = -x + 6
Keep the values of x in the above equation
f(x) = - (-3) + 6
Adding the two negative signs, hence, the value will be 3.
f(x) = 3 + 6
Performing addition to find the value of f(x) when value of x is (-3)
f(x) = 9
Therefore, the value of f(x) is 9.
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In ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°. Find the length of u, to the nearest 10th of an inch.
Answer:
5.7
Step-by-step explanation:
Delta math
In ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°. Hence, the length of u is 5.54 inches.
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
Given that the ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°.
We can find the length of u by using the Cosine rule
u² = s² + t² - 2(s)(t)·cos U
u² = 4.6² + 1.8² - 2(4.6)(1.8)·cos 118
u² = 19.78 + 3.24 - 16.56 x cos U
u² = 19.78 + 3.24 + 7.77
u² = 30.79
u = 5.54
Hence, the length of u is 5.54 inches.
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C. Aunt Beth bought 1 3/8 yards of blue ribbon
and 1/2 yards of green ribbon. How much
more blue ribbon was bought?
7/8 yards more blue ribbon was bought
How much more blue ribbon was bought?
The given parameters are
Blue ribbon = 1 3/8 yards
Green ribbon = 1/2 yards
The amount of excess ribbon that is blue is
Excess = Blue ribbon - Green ribbon
So, we have
Excess = 1 3/8 yards - 1/2 yards
Evaluate the difference
Excess = 7/8 yards
Hence, 7/8 yards more blue ribbon was bought
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Divide: 464 : 46
Help me
Answer:
10.0
Step-by-step explanation: 464:46
9+(-4)+(9)+4+8 with additive inverse
Answer:
26
Step-by-step explanation:
This becomes 9-4+9+4+8=26
Any help here please I don’t understand these math problems.
Owen is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie. Owen's songs were played on 4 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $770. Determine the number of commercials and the number of movies on which Owen's songs were played.
Answer:
His songs were played 4 times in a commercial, and 3 times in a movie.
Step-by-step explanation:
Let x represent the number of times his songs were played in a commercial, and y represent the number of times his songs were played in a movie.
Since we know Owen's songs were played on 4 more commercials than in movies, we can write the expression
x = y + 4
Owen gets $50 every time one of his songs is played in a commercial and $140 every time one of his songs is played in a movie, so we can add these numbers into the equation below.
140y + 50x = $770
We can use the equation two lines above and substitute it into this equation so it now becomes:
140y + 50(y +4) = 770
Now we operate the equation so it becomes:
140y + 50y + 200 = 770
Now we reduce and add like terms.
190y = 770 - 200 = 570
190y = 570
570 / 190 = 3 (3 movies)
x = y + 4 = 7
y = 3
x = 3 + 4 = 7
So therefore Owen's songs were played 4 times in a commercial (x), and 3 times in a movie. (y)
Hope this helps.