Answers
180 - 28 - 14 = 138
so 12x - 18 = 138
x = 13
Related Questions
Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 46 coins consisting of pennies dimes and quarters. The number of pennies is equal to the number of dimes and the total value is $4.09. How many of each denomination of coin does he have?
Answers
We must write and solve a system of equations to see how many of each type of coin Carlos has.
The answer is:
There are 19 pennies.There are 19 dimes.There are 8 quarters.We start by defining the variables:
x = number of pennies in the box.y = number of dimes in the box.z = number of quarters in the box.We know there are 46 coins in total, thus:
x + y + z= 46
The number of pennies and dimes is the same, thus:
x = y
The total value of the coins in the box is $4.09, then:
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
So we can write the system of equations:
x + y + z= 46
x = y
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
First, we can replace x by y in the first and third equations (by using the second one) to get:
2y + z = 46
y*$0.11 + z*$0.25 = $4.09
Now we can isolate z in the first equation to get:
z = 46 - 2y
And replace that in the other equation:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
Now we can solve the equation for y:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
y*$0.11 + $11.50 - y*$0.50 = $4.09
y*($0.11 - $0.50) = $4.09 - $11.50
y*(-$0.39) = -$7.41
y = (-$7.41)/(-$0.39) = 19
if y = 19, then x = 19
By using the first equation:
x + y + z = 46
19 + 19 + z = 46
z = 46 - 19 - 19 = 8
We can conclude that:
There are 19 pennies.There are 19 dimes.There are 8 quarters.If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13997560
Two ice cream machines make a total of 320 gallons in a certain amount of time. working together for the same length of time how many gallons of ice-cream can each number of machines make?
(a) 7 ice-cream machines
Answers
Answer:
7 ice cream machines can make 1,120 gallons of ice cream
Step-by-step explanation:
Divide 320 by 2
multiply 160 by 7
you should get 1,120
7 ice-cream machines makes 1120 gallons of ice-cream.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, two ice cream machines make a total of 320 gallons in a certain amount of time.
Here, quantity of ice cream made by 1 machine =320/2
= 160 gallons
Now, 7 ice-cream machines makes
160×7= 1120 gallons
Therefore, 7 ice-cream machines makes 1120 gallons of ice-cream.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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please help me solve this problem.
Answers
Answer:
a=36
Step-by-step explanation:
The given angles are corresponding
2a+3a=180
5a=180
a=180/5=36
27.65 rounded to the second decimal place
Answers
Answer:
To the second decimal place would be 28 because 27.65 is closer to 28 than 27. Hoped this helped.
A mural's height is 2 1/4
meters. Which of the following is equivalent to 2 1/4 meters?
Answers
Answer:
you didnt give any options
Select all statements that are true about the triangles.
Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices
Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.
Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.
There is not enough information to determine if the triangles are congruent
Answers
Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
Find and intercept the slope of this line.
Answers
Step-by-step explanation:
the 4th answer option is correct.
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
The mean age of 8 women in an office is 19 years old.
The mean age of 5 men in an office is 18 years old.
What is the mean age (nearest year) of all the people in the office?
Answers
Answer:
19
Step-by-step explanation:
(8*19+5*18)/(8+5)=242/13=18 8/13
round
19
Can I get some help with these questions?
Answers
Answer:
For the first question its X=110 For the second question angle AEF is 75 degrees and for angle ADF is 105 degrees
Step-by-step explanation:
the total angle is 150 so take 4+22 and you get 26 then add 6+8 and you get 14 add 26+14 and you get 40 do 150-40 and you get 110 therefore x=110
AWNSER ASAP PLEASE!!!!!!!!!!!!!! WORTH 20 POINTS.
Find the solution of this system of equations -2x + 8y = 14 -2x - 2y = -26
Answers
Answer:
Answer x = 9 y = 4
-2x + 8y = 14
-2x - 2y = -26
0 + 10y = 40
y = 4
-2x + 8(4) = 14
-2x = 14 - 32 = -18
x = 9
Work out the equation of
the line that goes through
(3, 2) and (-1, 10)
Answers
Answer:
[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]
Step-by-step explanation:
Let, A=(3,2)
B=(-1,10)
So, The equation will be
[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Answer:
y = - 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )
m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2 )
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of line
What is the measure of _____?
Answers
Answer:
53°Step-by-step explanation:
Angle ABE = 90°
Angle CBE = 37° (opposite angle)
90 - 37 = 53°
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answers
Answer:
49 red marbles
Step-by-step explanation:
We should first make 5/12 have a base of 84, so that'll be
(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49
DUBS
Please consider giving me a brainliest! Thank you.
Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?
Answers
What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.
Answers
Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
The Empirical Rule states that, for a normal variable:
Approximately 68% of the measures are within 1 standard deviation of the mean. Approximately 95% of the measures are within 2 standard deviations of the mean. Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem:
The mean is of 7 inches.The standard deviation is of 1.2 inches.4.6 = 7 - 2(1.2)
9.4 = 7 + 2(1.2)
Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
A similar problem is given at https://brainly.com/question/24537145
equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5
Answers
Answer:
y=1/3x+5 hope it helps you
3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?
Answers
Answer:
If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:
4, 3.7, 3.4, 3.1, ____, ____, ____ what are the next terms
Answers
Answer:
the next terms are 2.8 , 2.5 and 2.2
Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.
Answers
Answer:
7.3*
Step-by-step explanation:
do the inverse:
22/3=7.3*
*=recurring
-1.2= y/2.4 -1.7
Solve for y
Answers
[tex]{\huge{\boxed{\sf{Question}}[/tex]
[tex]-1.2= y\div2.4 -1.7[/tex]
Solve for y
[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]
let's put our equation first
[tex]-1.2= y\div2.4 -1.7[/tex]
Flip the equation
[tex]y\div2.4-1.7=-1.2[/tex]
Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]
[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]
BracketsOf multiplicationDivisionAdditionSubtraction[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]
ParenthesisExponentsMultiplicationDivisionAdditionSubtraction_________________________
[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]
_________________________
[tex]y\div2.4-1.7=-1.2[/tex]
[tex]{\underline{simplify}}[/tex]
[tex]0.416667y-1.7=-1.2[/tex]
add [tex]1.7[/tex] to both sides
[tex]0.416667y=0.5[/tex]
Divide both sides by [tex]0.416667[/tex]
[tex]y=1.2[/tex]
[tex]{\huge{\boxed{\sf{Answer}}}[/tex]
[tex]y[/tex] would equal [tex]1.2[/tex]
help asap for brainlist
Answers
Answer:
Option D
Step-by-step explanation:
(x + 8) (2x² - 5x - 3)
=> (2x³ - 5x² - 3x) + (16x² - 40x - 24)
=> 2x³ + 11x² - 43x - 24
Hope this helps!
A married couple had a combined annual income of $58,000. The wife made $2000 more than her husband. What was each of their incomes?
Answers
Answer:
Let the income of husband be X
The income of wife will be = X+2000
Combined income of couple will be= (X+2000) + X
= 2X+2000
It is given that combined income of couple is = 58000
Therefore 2X+2000= 58000
2X = 58000-2000
2X = 56000
X= 56000/2 = 28000
Therefore Income of husband is 28,000
and Income of wife = 28000+2000= 30,000
Step-by-step explanation:
Write the equation of line with slope of -3, passing through (-1,7) . write in slope -intercept form.
Answers
Hello there, hope you are having a nice day.
We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:
y-7=-3(x-(-1)
y-7=-3(x+1)
y-7=-3x-3
Now, we move -7 to the right side, using the opposite operation:
y=-3x-3+7
y=-3x+4
This is the equation of our line. Hope it helps.
Ask me if you have any queries.
~An emotional teen who helps others with joy
Good luck.
ILL GIVE BRAINLIST ! Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
0
1
2
3
4
Number of tickets
16
12
8
4
0
What is the y-intercept of the function shown in the table, and what does it
represent?
A. The y-intercept is (4,0). Jamie uses 4 tickets per ride.
OB. The y-intercept is. (0,16). Jamie uses 16 tickets per ride.
C. The y-intercept is (0,16). Jamie has 16 tickets before going on any
rides.
O D. The y-intercept is (4,0), Jamie goes on 4 rides.
Answers
Answer:
The y-intercept is (0,16). Jamie has 16 tickets before going on any
rides.
Step-by-step explanation:
Combining like terms with neg
Combine the like terms to create an equivalent expression:
--3x – 6+ (-1)
Answers
Answer:
3x−7
Step-by-step explanation:
3x – 6+ (-1)
3x + (-7)
What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
y = One-fifthx + 4
y = One-fifthx + Twelve-fifths
y = –5x + 4
y = –5x + Twelve-fifths
Answers
Answer:
y = 1/5x + 12/5
Step-by-step explanation:
First find the slope of the given line
m = ( y2-y1)/(x2-x1)
m =( -3- -4)/(0- -5)
(-3+4) /(0+5)
1/5
Parallel lines have the same slope
Using point slope form of a line
y-y1 = m(x-x1)
y - 2 = 1/5(x--2)
y -2 = 1/5(x+2)
Distribute
y-2 = 1/5x +2/5
Add 2 to each side
y-2+2 = 1/5x + 2/5 + 2
y = 1/5x + 2/5 + 10/5
y = 1/5x + 12/5
Answer:
B. y = 1/5x + 12/5
nia saw a watch on sale for 42.50 the original price of the watch was 69.95 what is the approximate discount on the watch
Answers
Answer:
0.2745%
Step-by-step explanation:
69.95-42.50=27.45
27.45×100=27.45%
kevin sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $4.60. How much will she earn from selling 5 large necklaces and 6 small necklace?
Answers
Answer:
$56.10
Step-by-step explanation:
The first step is to multiply the values.
28.50 for large.
27.60 for small.
Add them together.
You get 56.10.
Answer/Step-by-step explanation:
Given:
$5.70= Large necklace
$4.60 = Small necklace
To Find:
How much will Kevin earn from selling 5 large necklaces and 6 small necklace?
Solution:
To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...
Multiply 5.70 by 5 and 4.60 by 6.
5.70 x 5 = 28.5
4.60 x 6 = 27.6
Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.
To Find all Kevin earn add both together = 56.10
Therefore Kevin earn $56.10 altogether.
Why is it necessary for the differentiated cells to produce a mucus coating?
Answers
Mucus coating is required for multiple functions such as protection and dealing with substances or pathogens.
Cells differentiation occurs as cells changes from a basic type to a more specialized one. Some specialized cells include:
Muscle cells.Immune cells.Epithelial cells.Some of these cells including epithelial cells and mucous cells produce mucus. This particular substance has many functions but the most important are:
Protecting mucous membranes including the lining of organs such as the lungs.Trapping some substances, especially nocive substances to eliminate them later.Containing important substances the body requires.Learn more in: https://brainly.com/question/11289653
Rearrange the numbers below from least to greatest
34.039 32.94 34.198 32.102 33.6
epic
PLSSSSS HELP-
Answers
Answer:
Least ------> Greatest
32.102, 32.94, 33.6, 34.039, 34.198
Answer:
32.102, 32.94, 33.6, 34.039, 34.198
Step-by-step explanation:
34.039, 32.94, 34.198, 32.102, 33.6
Rearrange:
34.198 > 34.039
33.6 > 32.94 > 32.102
New list: 32.102, 32.94, 33.6, 34.039, 34.198
-Chetan K