24 = 2x + 4
2x = 20
x = 10
.......................
Jacy has a collection of 140 coins worth $19.00. She has only nickels, dimes, and quarters. The difference in the number of dimes and the number of quarters is 10. Using matrices, how many nickels are in Jacy's collection? 38 50 95 130
Answer: She has 38 nickels
Step-by-step explanation:
Let's define:
N as the number of nickels, D as the number of dimes, and Q as the number of quarters.
She has 140 coins in total, so we can writen:
N + D + Q = 140.
And the total value is $19.00
Then we have:
N*0.05 + D*0.10 + Q*0.25 = 19
And "The difference in the number of dimes and the number of quarters is 10."
D - Q = 10.
So we have a system of 3 equations and 3 variables:
N + D + Q = 140.
N*0.05 + D*0.10 + Q*0.25 = 19
D - Q = 10.
First, let's isolate one of the variables in the third equation, i will isolate D.
D = 10 + Q.
Now we can replace this in the other two equations:
N + (10 + Q) + Q = 140
N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.
Now we can isolate Q in the first equation:
N + 10 + 2*Q = 140
2*Q = 140 - 10 - N
Q = 130/2 - N/2. = 65 - N/2
Now we can replace this in the other equation:
N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19
N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19
Now we can find the number of nickels.
N*0.05 + 1 + 22.75 - N*0.175 = 19
23.75 - N*(0.175 - 0.05) = 19
23.75 - 19 = N*0.125
4.75/0.125 = N
38 = N
She has 38 nickels
Answer:
A or 38 nickels
Step-by-step explanation:
Please help I’m struggling on this question.
Answer: [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]
Step-by-step explanation:
To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.
[tex]\frac{y+4}{y-8} +\frac{y-8}{y+4}[/tex] [multiply first fraction by y+4 and second by y-8]
[tex]\frac{(y+4)(y+4)}{(y-8)(y+4)} +\frac{(y-8)(y-8)}{(y-8)(y+4)}[/tex] [distribute by FOIL]
[tex]\frac{y^2+8y+16}{(y-8)(y+4)} +\frac{y^2-16y+64}{(y-8)(y+4)}[/tex] [add numerator]
[tex]\frac{y^2+8y+16+y^2-16y+64}{(y-8)(y+4)}[/tex] [combine like terms]
[tex]\frac{2y^2-8y+80}{(y-8)(y+4)}[/tex] [factor out 2 from numerator]
[tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]
Now we know that [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex] is the factored form after adding.
A student has 2/3 quart of yellow paint in a container.The student uses 1/2 quart of the yellow paint to make green paint.How many quarts of yellow paint remains in the container after the student makes green paint?
Answer:
1/6
Step-by-step explanation:
2/3 - 1/2 = 4/6 - 3/6 = 1/6
1/6 quart remains.
Answer:
There are 1/6 quarts left in the container.
Step-by-step explanation:
You need to subtract 1/2 (the paint used) by 2/3 (the paint in the container)
First, find the LCD (lowest common denominator) if you want to subtract.
3 x 2 = 6; you do the same to the numerator 2 x 2 = 4
4/6 (paint in the container)
2 x 3 = 6; you do the same to the numerator 1 x 3 = 3
3/6 (paint used)
Now, you subtract.
4/6 - 3/6 = 1/6 quarts
helpppppppp pleaseeeee
To find the relative frequency of something, take the frequency and divide by the total number of data values.
Total number of data values = 1170
Row one: relative frequency = 5 / 1170 = 0.0043
Row two: relative frequency = 17 / 1170 = 0.0145
Row three: relative frequency = 52 / 1170 = 0.0444
Row four: relative frequency = 118 / 1170 = 0.1009
Row five: relative frequency = 172 / 1170 = 0.1470
Row six: relative frequency = 232 / 1170 = 0.1983
Row seven: relative frequency = 219 / 1170 = 0.1872
Row eight: relative frequency = 172 / 1170 = 0.1470
Row nine: relative frequency = 95 / 1170 = 0.0812
Row ten: relative frequency = 57 / 1170 = 0.0487
Row eleven: relative frequency = 23 / 1170 = 0.0197
Row twelve: relative frequency = 8 / 1170 = 0.0068
What’s -86.4 divided by 3.2
Answer:
-27
Step-by-step explanation:
Answer:-27
Step-by-step explanation:
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
lengths of all three sides, to two decimal places.
i would appreciate if you showed work so i know how you did it!
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Please include an explanation, i am confused. Thank you
Explanation:
Let's say,
(x1,y) (x2,y2)
are two points in a
xy
plane. We can find the shortest distance between two point by applying the distance formula stated as:
Distance
=√(x2−x1) 2+(y2−y1) 2
So by putting our given points
(x1,y1)=(6,−5) and (x2,y2)=(−1,−4)
in the distance formula, we have:
¯¯¯¯¯¯CD=√(−1−6)2+(−4−(5)2
Simplify to get:
5√2
is the answer A),B),C) or D)?
Answer:
D) 2a-6
Step-by-step explanation:
Graham sold 6 less = -6
Than double what Adriania sold. = 2a
2a - 6
For questions 12-17, determine whether each statement is always, sometimes, or never true.
12. TQ and QT are the same line.
13. JK and JL are the same ray.
14. Intersecting lines are coplanar.
15. Four points are coplanar.
16. A plane containing two points of a line contains the entire line.
17. Two distinct lines intersect in more than one point.
Now, graph the equation x - 2y = 7 below the
equation 8x - 4y = 56
What are the coordinates for x and y at the
intersection of the two lines?
Answer:
(7,0)
Step-by-step explanation:
Solve for y in 2y + 5 = - 3y - 10.*
Answer:
y = -3
Step-by-step explanation:
2y +3y = -10 -5 (collect the terms then calculate)
5y = -15 ( divide both sides )
then you'll get your answer which is y = -3
Please help I have this due by tomorrow
Answer:
1) Linear Pair
2) Adjacent
3) Complmentary
4) Vertical
I need help in the simplest way!
Need help answering question 4
Answer:
(-1,5)
Step-by-step explanation:
To find this, you have to add both "x" coordinates, then divide them by two.
Same thing goes for the "y" coordinates, add them, then divide them by two.
x-coordinates ---> 2+(-4)= -2
y-coordinates ---> 1+9= 10
-2÷2= -1
10÷2= 5
That gives you, (-1,5).
PLEASE HELP I W WILL MARK YOU BRAINLIEST
Answer:
200 students
Step-by-step explanation:
Since there are 7 buses and 6 of them are full you would multiply 30•6. Then you would multiply 2/3 with 30 to find how many are on the 7th bus, which is 20. So you would add 180 and 20 to get the answer
2. What properties do you notice in the right triangle
Answer:
It has three sides
Step-by-step explanation:
Common sense
Answer:
The properties in a right triangle include
-one 90 degree angle
-the two angles that are not the right angle (90 degree angle) will always be acute angles
-the hypotenuse can easily be found by using the Pythagorean Theorem (a squared plus b squared equals c squared
-it has three sides
-it has three angles
simplify 1/3(6x−12)+4x
Answer:
não sei....................
The area of the football field is 57,600 square feet. If the width of the field is the length,what is the length of the football field?
Answer:
240
Step-by-step explanation:
57600=10×24×10×24
I need help on this question please
Answer:
a, c, and f
Step-by-step explanation:
becuase i took the test
The daily production cost, C, for x units is modeled by the equation: C = 200 – 7x + 0.345x2 Explain how to find the domain and range of C
Answer:
This is a quadratic function, which is usually defined on all reals. But, the domain is restricted to x>=0 because it does not make sense to produce a negative number of units.
Find the vertex of the parabola at
(10.14, 164.5)
Since the parabola opens up, the range is y>=164.5
Step-by-step explanation:
At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point) 8 over 32 multiplied by 8 over 31 8 over 32 plus 8 over 31 8 over 32 plus 7 over 31 8 over 32 multiplied by 7 over 31
Answer:
32 multiplied by 8 over 31 8 over 32 plus
Step-by-step explanation:
i think this is the answer not quite sure tho
Answer:
32 multiplied by 8 over 31 8 over 32 plus
Step-by-step explanation:
How many solutions does this equation have?
-4 + 6n
7n
no solution
one solution
infinitely many solutions
Answer:
One solution
Step-by-step explanation:
-4 + 6n = 7n
you will subtract (6n-6n) which will cancel each other out, than subtract (7n - 6n) which will be (1n)
So now you will have -4 = 1n
Now you will divide ( -4/1) which is -4
You don't have to divide -4 with 1, because its the same way as multiplying it.
Now you will have -4 = n
2. A line or line segment perpendicular to a line segment at the midpoint of the segment is a...
Answer:
A segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector.
Step-by-step explanation:
perpendicular bisector
2. Which of these graphs represents a function?
Answer:
I think the first one.
Step-by-step explanation:
The table below shows the total cost of buying printer ink cartridges for both members and nonmembers of a shopping club. Price of Ink at Shopping Club Number of ink cartridges purchased Total cost for members (with membership fee) Total cost for nonmembers 0 $30 0 1 $40 $25 2 $50 $50 3 $60 $75 Which statement is supported by the table?
Answer:
B
Step-by-step explanation:
Answer:
the answer is a i did the quiz
Step-by-step explanation:
F(1)=2
F(n)=-3f(n-1)+[f(n-1)]^2 ?
Answer:
Step-by-step explanation:
Umm
If you shift the quadratic parent function, f(x) = x2,right 12 units, what is the
equation of the new function?
A. g(x) = x² + 12
B. g(x) = x2 - 12
ООО
C. g(x) = (x - 12)
D. g(x) = (x + 12)
Perform the indicated row operations
Answer:
[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]
Step-by-step explanation:
Given matrix is,
[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]
Operations performed,
-10R₂ → R₂
[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]
3R₃ → R₃
[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]
Answer:
the multiple choice is A
Step-by-step explanation:
Trapezoid ABCD is reflected over the line y - x. What rule shows the input and output of the reflection, and what is the new coordinate of A (1 point)
B
0
A
(X,Y)--(-x): A is at (1,5)
(X,Y) (YX); A' is at (1-5)
(x,y)--(-x,y); A' is at (5, 1)
(x,y)--(-X, "): A' is at (5, -1)
Answer:
(x,y)--(-X, "): A' is at (5, -1)
Step-by-step explanat
Answer:
(x,y)→(−x,−y); A' is at (5, −1)
Step-by-step explanation:
Sonjesa found a job in advertising that pays a yearly salary of $47,300. What is her weekly salary?
$6,757.14
$909.62
$985.42
$3,941.67
Answer:
$909.62
Explanation:
If Sonjesa makes $47,300 a year and in a year there are 52 weeks we do the equation...
$47,300 / 52 weeks = weekly salary
47300 / 52 = 909.615
If we round that equals $909.62
Hope this helps!