Answer:
[tex]\large\boxed{(f-g)(x)=2x-3}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=3x-1,\ g(x)=x+2\\\\\text{substitute:}\\\\(f-g)(x)=(3x-1)-(x+2)\\\\=3x-1-x-2\qquad\text{combine like terms}\\\\=(3x-x)+(-1-2)\\\\=2x-3[/tex]
A box holds 25 pounds of cans. Each can weighs 8 ounces. How many cans does each box hold?
A- 50 cans
B- 52 cans
C- 60 cans
D- 62 cans
1 pound = 16 ounces.
1 can weighs 8 ounces, so 2 cans weigh 8 +8 = 16 ounces, which is 1 pound.
Multiply total pounds by number of cans per pound:
25 pounds x 2 cans per pound = 50 total cans.
The number of cans each box hold will be 50.
How to convert ounces to pounds?In one pound there is a total of sixteen ounces.
So it means 1 pound = 16 ounces.
Given that the weight of the can is 8 ounces it means in 2 cans there are 16 ounces which are 1 pound.
2 cans = 1 pound
Since, the box can hold only 25 pounds Hence,
25 × 2 = 50 cans so a box can hold up to 50 cans.
For more information about conversion
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What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?
Answer:
a=-2
b=4
c=-3
Step-by-step explanation:
You just compare -2x^2+4x-3=0 to
ax^2+bx+c=0
There is really no work here.
For this case we have that by definition, a quadratic equation is of the form:
[tex]ax ^ 2 + bx + c = 0[/tex]
The roots are given by:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]
We have the following equation:
[tex]-2x ^ 2 + 4x-3 = 0[/tex]
So:
[tex]a = -2\\b = 4\\c = -3[/tex]
Answer:
[tex]a = -2\\b = 4\\c = -3[/tex]
23 qt = ? gal ? qt
Only number 7
Answer:
5 gallons and 3 quarts
Step-by-step explanation:
There are 4 quarts in a gallon so 23/4=5 gallons and 3 quarts
Answer:
5 gal and 3 qt.
Step-by-step explanation:
in circle P what is the measure(in degrees) of arc ADB?
A: 270
B: 90
C: 218
D: 52
Answer:
A: 270 ,':)
Step-by-step explanation:
Answer:
the answer is A: 270
Step-by-step explanation:
Op= 360
AB= 90
Op(360)-AB(90) = 270
How I can resolve that problem
Solve for x
5y=3x+b
Answer:
Let's solve for x.
5y=3x+b
Step 1: Flip the equation.
b+3x=5y
Step 2: Add -b to both sides.
b+3x+−b=5y+−b
3x=−b+5y
Step 3: Divide both sides by 3.
Answer:
x=
−1
3
b+
5
3
y
Step-by-step explanation:
Please mark brainliest and have a great day!
Which statement is best represented by the inequality c > 3 1/2?
A.Chef Andre used less than 3 1/2 cups of flour.
B.Chef Andre used more than 3 1/2 cups of flour.
C.Chef Andre used 3 1/2 more cups of flour than Chef Isha.
D.Chef Andre used 3 1/2 fewer cups of flour than Chef Isha.
Answer:
Option B. Chef Andre used more than 3 1/2 cups of flour.
Step-by-step explanation:
we have
[tex]c > 3\frac{1}{2}[/tex]
The solution is all real number greater than [tex]3\frac{1}{2}[/tex]
therefore
Let
c -----> the number of cups
The statement that best represented by the inequality is
Chef Andre used more than 3 1/2 cups of flour
Answer:
The answer is B
Step-by-step explanation:
(d) 12b + 5.65 = 12.13
*9) Keira made a round pizza that fit in a square box. What is the area, rounded to the nearest tenth of an
Inch, of the pizza?
16 inches
a. 50.3 in
b. 201.1 in
C. 402. 1 in
d. 804.2 in?
Answer:
D. 804.2
Step-by-step explanation:
The area equation is πr^2 so
16^2 = 256
256 × π (or 3.14) = 803.84
which is ≈ 804.2
Please mark brainliest. :)
UWU have a nice day!
What is the inverse of f(x) = 6x -24
Answer:
f^(−1)(x)= x/6+4
Step-by-step explanation:
interchange the variables and solve for
y
Inverse of the given function f(x) is f⁻¹(x) = (x/6) + 4.
What is an Inverse function?It is defined as, for a one-one function each element of a range of an original function is mapped to the domain of an inverse function.Inverse of a given function is possible only of the original function is one-one and onto.
Given: Function
f(x) = 6x - 24
Let, y = 6x - 24
Now, to find the inverse of the given function we need to interchange the values of x and y and then we will solve for y.
⇒ x = 6y - 24
⇒ 6y = x + 24
Dividing both sides by 6, we get:
⇒ y = (x + 24)/6
⇒ y = (x/6) + 4
We can write it as:
f⁻¹(x) = (x/6) + 4
Therefore, the inverse of f(x) = 6x -24 is f⁻¹(x) = (x/6) + 4.
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Find 3 consecutive integers where the sum of the first 2 equals 3 times the third. Please help
Answer:
-5,-4,-3
Step-by-step explanation:
Let n be an integer.
The next integer would have to be n+1.
The integer before n would have to be n-1.
So the numbers in order are n-1, n , n+1
The sum of the first 2 equals 3 times the third:
n-1 + n = 3(n+1)
2n-1 = 3(n+1)
2n-1=3n+3
Subtract 2n on both sides
-1=n+3
Subract 3 on both sides
-4=n
If n=-4
then n-1=-5
and n+1=-3
So the three numbers are -5,-4,-3 .
What is the equation of a line with a slope of 4 and a y-intercept of -3
Answer:
y=4x-3
Brainly is making me reach a word maximum. But that is my answer ^
which expression is equivalent to loga4a(b-4/c^4)
Answer:
[tex]\large\boxed{\log_84a\left(\dfrac{b-4}{c^4}\right)=\log_84+\log_8a+\log_8(b-4)-4\log_8c}[/tex]
Step-by-step explanation:
[tex]\text{Use}\\\\\log_ab^n=n\log_ab\\\\\log_a(bc)=\log_ab+\log_ac\\\\\log_a\left(\dfrac{b}c{}\right)=\log_ab-\log_ac\\\\==============================[/tex]
[tex]\log_84a\left(\dfrac{b-4}{c^4}\right)=\log_84+\log_8a+\log_8\dfrac{b-4}{c^4}\\\\=\log_84+\log_8a+\log_8(b-4)-\log_8c^4\\\\=\log_84+\log_8a+\log_8(b-4)-4\log_8c[/tex]
Answer:
answer is A
Step-by-step explanation:
bc
Classify the following triangle. Check all that apply.
70°
15.8
80°
30
15
A. Scalene
B. Acute
O
c. Obtuse
D
D. Equilateral
E. Right
OF. Isosceles
PREVIOUS
Answer:
Option A and B
Step-by-step explanation:
sides of the triangle have been given as 15, 15.8, 30 units.
angles of the same triangle has been given as 70°, 80°, [180-(70+80)] or 30°.
Here we see all sides and all the angles of the given triangle have different measures ( all the three sides and angles are different )
By the definition of scalene triangle the given triangle will be scalene.
Since all three angles of the triangle are acute angles (less than 90°).
Therefore, Option A and B are correct.
what is the quotient when x^3-5x^2+3x-8 is devided by x-3
For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder.
It must be fulfilled that:
Dividend = Quotient * Divider + Remainder
According to the attached image we have the quotient is:
[tex]x ^ 2-2x-3[/tex]
Answer:
[tex]x ^ 2-2x-3[/tex]
See attached image
What is the measure of DF?
Answer:
The correct answer is second option
3.2
Step-by-step explanation:
It is given that, Coordinates of triangle ABC,
A(0, 1), B(0, 2) and C(3, 2)
ΔABC ≅ ΔDEF
Therefore we can write, AB = DE, BC = EF and AC = DF
To find the measure of DF
DF = AC
(0, 1) C(3, 2)
By using distance formula,
AC = √[(3 - 0)² + ( (2 - 1)²]
= √(9 + 1) = 3.16≈ 3.2
What is the point-slope equation of a line with slope -5 that contains the point (6,3)
Answer:
[tex]y-3=-5(x-6)[/tex]
Step-by-step explanation:
we know that
The equation of the line into point-slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-5[/tex]
[tex](x1,y1)=(6,3)[/tex]
substitute
[tex]y-3=-5(x-6)[/tex] ----> equation of the line into point-slope form
Please answer this correctly
Square root of 8 minus square root of 9
Answer:
-0.1715
Step-by-step explanation:
The form of the partial fraction decomposition of a rational function is given below.
5x^2+3x+54/(x+3)(x^2+9)=A/x+3+Bx+C/x^2+9
Find A,B,and C
Answer:
[tex]A=5, B=0,C=3[/tex]
Step-by-step explanation:
The partial fraction decomposition is given as:
[tex]\frac{5x^2+3x+54}{(x+3)(x^2+9)} \equiv \frac{A}{x+3}+\frac{Bx+C}{x^2+9}[/tex]
We collect LCD on the RHS to obtain;
[tex]\frac{5x^2+3x+54}{(x+3)(x^2+9)} \equiv \frac{A(x^2+9)+(x+3)(Bx+C)}{(x+3)(x^2+9)}[/tex]
We expand the parenthesis in the numerator of the fraction on the RHS.
[tex]\frac{5x^2+3x+54}{(x+3)(x^2+9)} \equiv \frac{Ax^2+9A+Bx^2+(3B+C)x+3C}{(x+3)(x^2+9)}[/tex]
This implies that:
[tex]\frac{5x^2+3x+54}{(x+3)(x^2+9)} \equiv \frac{(A+B)x^2+(3B+C)x+3C+9A}{(x+3)(x^2+9)}[/tex]
This is now an identity. Since the denominators are equal, the numerators must also be equal.
[tex]5x^2+3x+54=(A+B)x^2+(3B+C)x+3C+9A[/tex]
We compare coefficients of the quadratic terms to get:
[tex]A+B=5\implies B=5-A...(1)[/tex]
Also the coefficients of the linear terms will give us:
[tex]3B+C=3...(2)[/tex]
The constant terms also gives us;
[tex]3C+9A=54...(3)[/tex]
Put equation (1) in to equations (2) and (3).
[tex]3(5-A)+C=3\implies C=3A-12...(4)[/tex]
[tex]3C+9A=54...(5)[/tex]
Put equation (4) into (5).
[tex]3(3A-12)+9A=54[/tex]
[tex]9A-36+9A=54[/tex]
[tex]9A+9A=54+36[/tex]
[tex]18A=90[/tex]
[tex]A=\frac{90}{18} =5[/tex]
Do backward substitution to get:
[tex]C=3(5)-12=3[/tex]
[tex]B=5-5=0[/tex]
[tex]\therefore A=5, B=0,C=3[/tex]
The constants A, B, and C in the partial fraction decomposition are determined to be A = 5, B = 0, and C = 3.
To find the values of A, B, and C in the partial fraction decomposition of the rational function
Therefore, the number of adul, follow these steps:
First, express the function as: [tex](5x^2 + 3x + 54) / ((x+3)(x^2 + 9)) = A/(x+3) + (Bx + C)/(x^2 + 9).[/tex]Multiply both sides by [tex](x+3)(x^2 + 9)[/tex] to eliminate the denominators: [tex]5x^2 + 3x + 54 = A(x^2 + 9) + (Bx + C)(x + 3).[/tex]Expand and combine like terms: [tex]5x^2 + 3x + 54 = Ax^2 + 9A + Bx^2 + 3Bx + Cx + 3C.[/tex]Combine like terms: [tex]5x^2 + 3x + 54 = (A + B)x^2 + (B + C)x + (9A + 3C).[/tex]Match coefficients for corresponding powers of x:For [tex]x^2[/tex]: 5 = A + BFor x: 3 = B + CConstant term: 54 = 9A + 3CSolving these equations:From 5 = A + B, we get B = 5 - A.From 3 = B + C, substitute B: 3 = (5 - A) + C ⟹ C = -2 + A.From 54 = 9A + 3C, substitute C: 54 = 9A + 3(-2 + A) ⟹ 54 = 12A - 6 ⟹ 60 = 12A ⟹ A = 5.Substitute A into B and C: B = 0, C = 3.Thus, the values are A = 5, B = 0, and C = 3.Assignment
Line AB goes through the points A (0, -4) and B (6,2). Which equation represents line
y - 4 = 3x
y-2 = 3(x – 6)
y + 4 = x
y + 6 = x - 2
Answer:
y + 4 = xStep-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b).
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points A(0, -4) → b = -4 and B(6, 2).
Calculate the slope:
[tex]m=\dfrac{2-(-4)}{6-0}=\dfrac{6}{6}=1[/tex]
Put the value of m and of b to the equation:
[tex]y=1x-4[/tex] add 4 to both sides
[tex]y+4=x[/tex]
an asymptote is a line that the graph of a function ___
Answer:
Option C. approaches but does not cross.
Step-by-step explanation:
In Maths, an asymptote is a line that the graph (a drawing that shows two sets of related amounts) of a function (e.g. x=1/x) approaches but does not cross (or intersect). The image below illustrates such concept.
Answer: C. Approaches but does not cross
Step-by-step explanation: Basically an asymptote is a line that approaches a given curve which is graph of a function, but it never touches, cross or intersect in any finite. Asymptote can be any line, horizontal, vertical, inclined, which approaches the function graph. Theoretically, according to mathematical principles, the function graph line is approaching to a asymptote at infinity, and therefore the asymptotes are suitable as the type of guide to complete the graph of the function.
What is the area of the polygon given below?
Answer:
186
Step-by-step explanation:
Cut it 6+7+11=24×5=120
6+11=66
120+66=186
Answer: The correct option is (A) 186 sq. units.
Step-by-step explanation: We are given to find the area of the polygon shown in the figure.
Let us divide the given polygon in two rectangles A and B as shown in the attached figure below.
The dimensions of rectangle A are
length, l = 11 units and breadth, b = 6 units.
So, the area of rectangle A is given by
[tex]AREA_A=l\times b=11\times6=66~\textup{sq. units}.[/tex]
And the dimensions of rectangle B are
length, l' = 7 + 11 + 6 = 24 units and breadth, b' = 5 units.
So, the area of rectangle B is given by
[tex]AREA_B=l'\times b'=24\times5=120~\textup{sq. units}.[/tex]
Therefore, the total area of the given polygon is given by
[tex]AREA=AREA_A+AREA_B=66+120=186~\textup{sq. units}.[/tex]
Thus, the required area of the given polygon is 186 sq. units.
Option (A) is CORRECT.
please help i’m so confused! how would you simplify -2x(x-6)?
Answer:
-2x² + 12x
Step-by-step explanation:
To simplify, distribute the term outside the parenthesis (-2x) to all terms within the parenthesis. Remember to note the sign too:
-2x(x) = -2x²
-2x(-6) = +12x
-2x² + 12x is your answer.
~
Answer:
-2x²+12x
Step-by-step explanation:
Distributive Property:
↓
A(B+C)=AB+AC
A= -2x
B= x
C=6
-2xx-(-2x)*6
-2xx+2*6x
Simplify, to find the answer.
-2xx+2*6x
2*6=12
-2x²+12x is the correct answer.
Lindsay invested $4500 at 4% interest compounded annually.
How much interest will she earn in 10 years?
$180.00
$187.27
$1800.00
$2161.10
Answer:
[tex]\$2,161.1[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=10\ years\\P=\$4,500\\ r=0.04\\n=1[/tex]
substitute in the formula above
[tex]A=\$4,500(1+\frac{0.04}{1})^{1*10}[/tex]
[tex]A=\$4,500(1.04)^{10}[/tex]
[tex]A=\$6,661.10[/tex]
Find the interest
[tex]I=A-P[/tex]
[tex]I=\$6,661.10-\$4,500=\$2,161.1[/tex]
Answer:
2161.10
Step-by-step explanation:
What is the volume of the rectangular prism?
a rectangular prism with a length of ten centimeters, a width of four centimeters, and a height of two centimeters
70 cm3
80 cm3
90 cm3
100 cm3
Question 2(Multiple Choice Worth 4 points)
(10.03 LC)
What is the volume of the rectangular prism?
a rectangular prism with a length of five inches, a width of three inches, and a height of three inches
25 in3
35 in3
45 in3
55 in3
Question 3(Multiple Choice Worth 4 points)
(10.03 LC)
What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?
28 m3
38 m3
44 m3
48 m3
Question 4(Multiple Choice Worth 4 points)
(10.03 MC)
Which boxes have a volume of 120 cubic feet?
Box A: length of 5 ft, width of 4 ft, height of 6 ft
Box B: length of 7 ft, width of 7 ft, height of 6 ft
Box C: length of 3 ft, width of 6 ft, height of 4 ft
Box D: length of 10 ft, width of 3 ft, height of 4 ft
A, B
A, D
B, C
B, D
Question 5(Multiple Choice Worth 4 points)
(10.03 LC)
What is the volume of the rectangular prism?
a rectangular prism with a length of eight inches, a width of four inches, and a height of three inches
96 in3
98 in3
106 in3
116 in3
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FDK321.03
Answer:
[tex]\large\boxed{Q1.\ 80\ cm^3}\\\boxed{Q2.\ 45\ in^3}\\\boxed{Q3.\ 48\ m^3}\\\boxed{Q4.\ A,\ D}\\\boxed{Q5.\ 96\ in^3}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of a rectangular prism:}\\\\V=lwh\\\\l-length\\w-width\\h-height[/tex]
[tex]\bold{Q1}\\\\l=10\ cm,\ w=4\ cm,\ h=2\ cm\\\\V=(10)(4)(2)=80\ cm^3\\\\\bold{Q2.}\\\\l=5\ in,\ w=3\ in,\ h=3\ in\\\\V=(5)(3)(3)=45\ in^3\\\\\bold{Q3.}\\\\l=4\ m,\ w=2\ m,\ h=6\ m\\\\V=(4)(2)(6)=48\ m^3\\\\\bold{Q4.}\\\\V=120\ ft^3\\\\\bold{A:(5)(4)(6)=120}\\B:\ (7)(7)(6)=294\\C:\ (3)(6)(4)=72\\\bold{D:\ (10)(3)(4)=120}\\\\\bold{Q5.}\\\\l=8\ in,\ w=4\ in,\ h=3\ in\\\\V=(8)(4)(3)=96\ in^3[/tex]
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
Answer:
3y+4x=5
Step-by-step explanation:
step 1
Find the slope
we have
(–7, 11) and (8, –9)
m=(-9-11)/(8+7)
m=-20/15
m=-4/3
step 2
Find the equation of the line into point slope form
we have
m=-4/3
point (-7,11)
substitute
y-11=-(4/3)(x+7) ----> equation of the line into point slope form
Multiply by 3 both sides
3y-33=-4(x+7)
3y-33=-4x-28
3y+4x=33-28
3y+4x=5 -----> equation of the line into standard form
Answer:
I think that the answer is D
Find the exact circumference of a circle with diameter equal to 8 ft.
Answer:
C = 8π
Step-by-step explanation:
The circumference (C) of a circle is calculated using
C = πd ← d is the diameter
here d = 8, hence
C = 8π ft ← exact value
For this case we have by definition, that the circumference of a circle is given by:
[tex]C = \pi * d[/tex]
Where:
d: It is the diameter of the circle
We have as data that the diameter of the circle measures:8ft, then, replacing:
[tex]C = \pi * 8[/tex]
Finally, the circumference is [tex]8\pi[/tex]
ANswer:
[tex]8\pi[/tex]
What is the solution to the system of equations below?
y = 1/2x - 4 and y = -2x - 9
1. (-2, -5)
2. (-2, -3)
3. (2, -3)
4. (2, -13)
Answer:
1. (-2, -5)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=\dfrac{1}{2}x-4&(1)\\y=-2x-9&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\\dfrac{1}{2}x-4=-2x-9\qquad\text{multiply both sides by 2}\\\\x-8=-4x-18\qquad\text{add 8 to both sides}\\\\x=-4x-10\qquad\text{add 4x to both sides}\\\\5x=-10\qquad\text{divide both sides by 5}\\\\x=-2\\\\\text{put it to (2):}\\\\y=-2(-2)-9\\\\y=4-9\\\\y=-5[/tex]
Find the distance between points (6,5 sqaure root 2) and 4,square root 3).
Help ASAP
For this case we have that by definition, the distance between two points is given by:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]
We have the following points:
[tex](6,5 \sqrt {2})\\(4,3 \sqrt {2})[/tex]
Substituting:
[tex]d = \sqrt {(4-6) ^ 2 + (3 \sqrt {2} -5 \sqrt {2}) ^ 2}\\d = \sqrt {(- 2) ^ 2 + (- 2 \sqrt {2}) ^ 2}\\d = \sqrt {4+ (4 * 2)}\\d = \sqrt {4 + 8}\\d = \sqrt {12}\\d = \sqrt {2 ^ 2 * 3}\\d = 2 \sqrt {3}[/tex]
Answer:
Option C
Answer: Third option.
Step-by-step explanation:
The distance between two points can be calculated with this formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Then, given the points [tex](6,5\sqrt{2})[/tex] and [tex](4,3\sqrt{2})[/tex], we can identify that:
[tex]x_2=4\\x_1=6\\y_2=3\sqrt{2}\\y_1=5\sqrt{2}[/tex]
Now we must substitute these values into the formula:
[tex]d=\sqrt{(4-6)^2+(3\sqrt{2}-5\sqrt{2})^2}[/tex]
We get that the distance between these two points is:
[tex]d=2\sqrt{3}[/tex]
Use the substitution method to solve the system of equations write your answer as an ordered pair Y=x-2 and y=-2x+7
Answer:
(3, 1)
Step-by-step explanation:
x = y + 2
y = -2x + 7
y = -2(y +2) +7
y = -2y -4 +7
y + 2y = 3
3y = 3
y = 3/3
y = 1
x = y +2
x = 1 +2
x = 3
The value of x is 1/3 and y is -5/3. using substitution method
What is a linear equation?A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
CALCULATION:-
Y=x-2 -----(1)
y=-2x+7 ---------(2)
putting the value of y in the equation (2)
x-2= -2x+7
x+2x=7+2
3x=9
x=9/3
x=1/9
putting the value of X in equation(1)
Y=x-2 -----(1)
y=1/3-2
y=-5/6
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Rebecca has 45 coins, all nickels and dimes. The total value of the coins is 3.60.How many of each type of coin does Rebecca have?
Answer:
There are 18 nickel coins and 27 dime coins
Step-by-step explanation:
Remember that
1 nickel=$0.05
1 dime=$0.10
Let
x ----> the number of nickel coins
y ---> the number of dime coins
we know that
x+y=45
x=45-y -----> equation A
0.05x+0.10y=3.60
Multiply by 100 both sides
5x+10y=360 ----> equation B
Solve the system by substitution
Substitute equation A in equation B and solve for y
5(45-y)+10y=360
225-5y+10y=360
5y=360-225
5y=135
y=27
Find the value of x
x=45-27= 18
therefore
There are 18 nickel coins and 27 dime coins