Answer:
A: 25[tex]\pi[/tex]
Step-by-step explanation:
The area for a circle is:
A = [PI*d^2] / 4
Then
A = (25/2)*[tex]\pi[/tex]
Best regards
2. What’s the answer to this question please
Answer:
The correct answer is B.
Step-by-step explanation:
Kylie distributes the 4 into the first part of the equation by multiplying everything in the parenthesis by 4. She does the same with the second part of the equation multiplying 7 by everything in the parenthesis.
Find the area of the parallelogram.
A. 54cm2
B. 85cm2
C. 170cm2
D. 27cm2
Answer:
170 cm2
Step-by-step explanation:
Area of Parallelogram = Base x Altitude
Base = 10
Altitude = 17
10 x 17 = 170
Answer = 170 cm2
Jamal is making a scale drawing of his property. The drawing is 15 inches long and 12 inches wide. How long and wide is the property if one-inch equals 5 feet?
Answer:
75ft long 60 ft wide
Step-by-step explanation:
one inch is 5 feet so for every foot you would x 5
15x5=75
12x5=60
The actual dimensions of Jamal's property are 75 feet long and 60 feet wide.
How to solve for the dimensionsIf Jamal's scale drawing is 15 inches long and 12 inches wide, and one inch on the drawing represents 5 feet in real life, we can calculate the actual dimensions of the property.
Length of the property:
15 inches on the drawing represents 15 * 5 = 75 feet in real life.
Width of the property:
12 inches on the drawing represents 12 * 5 = 60 feet in real life.
Therefore, the actual dimensions of Jamal's property are 75 feet long and 60 feet wide.
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for f(x)=3x+1 and g(x)=x^2-6, fine (f-g)(x)
Answer:
= -x^2 +3x+7
Step-by-step explanation:
f-g(x)
means to subtract g(x) from f(x)
f(x)- g(x)=3x+1 -(x^2-6)
Distribute the minus sign
f(x)-g(x)= 3x+1 -x^2 +6
= 3x+7-x^2
= -x^2 +3x+7
Answer:
[tex]\large\boxed{(f-g)(x)=-x^2+3x+7}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=3x+1,\ g(x)=x^2-6\\\\\text{Substitute:}\\\\(f-g)(x)=(3x+1)-(x^2-6)\\\\(f-g)(x)=3x+1-x^2-(-6)\\\\(f-g)(x)=3x+1-x^2+6\\\\(f-g)(x)=-x^2+3x+(1+6)\\\\(f-g)(x)=-x^2+3x+7[/tex]
what is the product mentally of (ab + 3)(ab - 3)
Answer:
ab² - 9
Step-by-step explanation:
Given in the question an expression
(ab + 3)(ab - 3)
To product mentally we will use polynomial identity called
Difference of squares
a² - b² = (a+b)(a-b)here a = ab
b = 3
(ab + 3)(ab - 3) = ab² - 3² = ab² - 9
Answer:
[tex]a^2b^2 - 9[/tex]
Step-by-step explanation:
We are given the following expression and we are to determine its product mentally:
[tex] ( a b + 3 ) ( a b - 3 ) [/tex]
For this, we can use the FOIL method, which stands for First, Outer, Inner, Last.
First means multiply the terms which come first in each of the binomial, Outer means multiply the outermost terms in the product. Inner means multiply the innermost two terms. Last means multiply the terms which occur last in each binomial.
So we get:
[tex]ab*ab +3*(-3)=a^2b^2 - 9[/tex]
What are 3 other names for the solutions to a quadratic function
Zeros, roots, solutions, and solution sets are all 4 names
The solution of a quadratic function is also called as zeroes, roots and x - intercept.
What is solution of a quadratic function?Solving quadratic function means finding a value (or) values of variable which satisfy the equation. The value(s) that satisfy the quadratic function is known as its roots/ zeroes and x - intercept.
Example-
[tex]x^{2} -3x +2 = 0\\\\x^{2} -2x - x + 2 = 0\\\\x(x - 2) - 1(x - 2) = 0\\\\(x - 1)(x - 2) = 0\\\\x = 1 \, or \, 2[/tex]
Here, 1 and 2 are zeroes/ roots/ intercept of the quadratic function [tex]x^{2} -3x +2 = 0[/tex].
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what is measure of angle R?
The measure of the angle R in the right-angle triangle will be 22.62°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The measure of the angle R is given by the sine rule. The sine of angle R is the ratio of the perpendicular to the hypotenuse. Then we have
sin R = 5 / 13
R = sin⁻¹(5/13)
R = 22.62°
The measure of the angle R in the right-angle triangle will be 22.62°.
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The measure of angle R is 30 degrees.
To determine the measure of angle R, we can use the properties of special right triangles, specifically the 30-60-90 right triangle. In such a triangle, the angles are 30 degrees, 60 degrees, and 90 degrees, and the lengths of the sides opposite these angles are in the ratio 1:√3:2, respectively.
Given that side PR is the hypotenuse of the right triangle PQR and it is 2 units long, we can deduce that triangle PQR is a 30-60-90 triangle. The side QR, which is opposite the 30-degree angle at Q, is half the length of the hypotenuse. Since PR is 2 units, QR must be 1 unit.
The side PQ is opposite the 60-degree angle at P and is 3 times the length of QR. Since QR is 1 unit, PQ must be 3 units.
The angle R is opposite the side PQ, and since we have established that PQR is a 30-60-90 triangle, angle R must be the smallest angle, which is 30 degrees.
Therefore, the measure of angle R is 30 degrees.
PLEASE HELP FAST!!!
Simplify the expression.
(x + 6)^2
Please don’t guess I really need to get this problem correct. My grade depends on it!
(a+b)²=a²+2ab+b²
(x+6)²=x²+2× x × 6+6²=x²+12x+36
hope this helps :)
Answer:
[tex]\large\boxed{(x+6)^2=x^2+12x+36}[/tex]
Step-by-step explanation:
[tex](x+6)^2\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=x^2+2(x)(6)+6^2=x^2+12x+36\\\\\text{Other method}\\\\(x+6)^2=(x+6)(x+6)\\\\\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x)(x)+(x)(6)+(6)(x)+(6)(6)=x^2+6x+6x+36\\\\=x&^2+12x+36[/tex]
A cube had a volume of 1/512 cubic meter. What is the length of each side of the cube using the formula "volume=Length×Width×Hight." Please explain your thinking.
Answer:
The length of each side of the cube is [tex]\frac{1}{8}\ m[/tex]
Step-by-step explanation:
we know that
The volume of a cube is equal to
[tex]V=LWH[/tex]
but remember that in a cube
Length, width and height have the same value
so
Let
b-----> the length side of the cube
[tex]L=W=H=b[/tex]
substitute in the formula
[tex]V=(b)(b)(b)=b^{3}[/tex]
In this problem we have
[tex]V=\frac{1}{512}\ m^{3}[/tex]
substitute and solve for b
[tex]b^{3}=\frac{1}{512}[/tex]
[tex]b=\sqrt[3]{\frac{1}{512}}\\ \\b=\frac{1}{8}\ m[/tex]
therefore
The length of each side of the cube is [tex]\frac{1}{8}\ m[/tex]
Which equation can be used to find the time, t, it takes for the ball to reach the ground?
Check the picture below, well that picture is using feet, but is pretty much the same curve for meters.
notice, it hits the ground when y = 0, or h(t) = 0, thus
[tex]\bf ~~~~~~\textit{initial velocity} \\\\ \begin{array}{llll} ~~~~~~\textit{in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \end{array} \quad \begin{cases} v_o=\stackrel{12}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{1.8}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\\\ 0=-4.9t^2+12t+1.8\implies -4.9t^2+12t+1.8=0[/tex]
There are several equations that can be used to find the time for a ball to reach the ground in projectile motion. The specific equation depends on the given information and scenario.
Explanation:The equation that can be used to find the time it takes for the ball to reach the ground depends on the specific scenario and information given. There are several equations that can be used for projectile motion, including those that involve quadratic equations or simple equations of motion. It is important to analyze the given information and use the appropriate equation to solve for the time. For example, the quadratic formula can be used to find the time for projectile motion with vertical motion only, while the equation x = xo + vot + at² can be used to solve for the time when the initial and final positions and velocities are known.
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Adam wants to tip the room service person 15 percent of the food bill of $165.56. how much should he tip?
he should tip around this $24.83
Answer:
$24
Step-by-step explanation:
15 % of $165.56
15/100 x 165.56/100 =
245340/10000 = 24.534 ($24)
what is the volume of a cylinder with a radius of 6 cm and height of 13
Answer:
V≈1470.27cm³
Hope this helps :D
Find angle A. to the nearest tenth
Answer:
A ≈ 56.1°
Step-by-step explanation:
By the law of sines, ...
sin(A)/a = sin(C)/c
sin(A) = (a/c)·sin(C)
A = arcsin((a/c)·sin(C)) = arcsin(5/6·sin(95°)) ≈ 56.1°
Who is correct and why?
Nadine is incorrect because she should have applied the quotient of powers rule first.
Nadine is correct because she correctly applied the power of a product rule.
Calvin is incorrect because he should have applied the power of a product rule first.
Calvin is correct because he correctly applied the quotient of powers rule.
Answer:
answer D
Step-by-step explanation:
The person that is correct is; Calvin is correct because he correctly applied the quotient of powers rule.
How to apply the rule of exponents?The expression that Nadine and Calvin were trying to simplify is;
r⁻⁵s⁻³/(r⁸s⁻²)
Now, we are told that Nadine claims the first step is to simplify the expression is to raise the numerator and denominator to the given power.
Meanwhile, Calvin claims the first step to simplify the expression is to apply the quotient of powers.
We can conclude that Calvin is correct because he correctly applied the quotient of powers rule.
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For the angles α and β in the figures, find cos(α + β)?
Answer:
[tex]\cos(\alpha +\beta)=\frac{2}{3}(1-\frac{\sqrt{5}}{5})[/tex]
Step-by-step explanation:
Let the hypotenuse of the smaller triangle be h units.
Then; from the Pythagoras Theorem.
[tex]h^2=4^2+2^2[/tex]
[tex]h^2=16+4[/tex]
[tex]h^2=20[/tex]
[tex]h=\sqrt{20}[/tex]
[tex]h=2\sqrt{5}[/tex]
From the smaller triangle;
[tex]\cos (\alpha)=\frac{4}{2\sqrt{5} }=\frac{2}{\sqrt{5} }[/tex] and [tex]\sin(\alpha)=\frac{2}{2\sqrt{5} }=\frac{1}{\sqrt{5} }[/tex]
From the second triangle, let the other other shorter leg of the second triangle be s units.
Then;
[tex]s^2+4^2=6^2[/tex]
[tex]s^2+16=36[/tex]
[tex]s^2=36-16[/tex]
[tex]s^2=20[/tex]
[tex]s=\sqrt{20}[/tex]
[tex]s=2\sqrt{5}[/tex]
[tex]\cos(\beta)=\frac{2\sqrt{5} }{6}=\frac{\sqrt{5} }{3}[/tex]
and
[tex]\sin(\beta)=\frac{4}{6}=\frac{2}{3}[/tex]
We now use the double angle property;
[tex]\cos(\alpha +\beta)=\cos(\alpha)\cos(\beta) -\sin(\alpha)\sin(\beta)[/tex]
we plug in the values to obtain;
[tex]\cos(\alpha +\beta)=\frac{2}{\sqrt{5} }\times \frac{\sqrt{5} }{3}-\frac{1}{\sqrt{5} }\times \frac{2}{3}[/tex]
[tex]\cos(\alpha +\beta)=\frac{2}{3}(1-\frac{\sqrt{5}}{5})[/tex]
Answer:
[tex]cos(\alpha + \beta)=cos(68.4\°) \approx 0.37[/tex]
Step-by-step explanation:
Little triangle.We know both legs, we can use the tangent trigonometric reason to find the angle.
[tex]tan\alpha =\frac{2}{4}\\ tan \alpha=\frac{1}{2}\\ \alpha=tan^{-1}(\frac{1}{2} )\\ \alpha \approx 26.6\°[/tex]
Larger triangle.We know the hypothenuse and the opposite leg. We can use the sin trigonometric reason to find the angle
[tex]sin\beta =\frac{4}{6}\\ sin\beta=\frac{2}{3}\\ \beta=sin^{-1} (\frac{2}{3} )\\\beta= 41.8\°[/tex]
So, the sum of them is
[tex]\alpha + \beta = 26.6+41.8= 68.4\°[/tex]
Then,
[tex]cos(\alpha + \beta)=cos(68.4\°) \approx 0.37[/tex]
Therefore,
[tex]cos(\alpha + \beta)=cos(68.4\°) \approx 0.37[/tex]
Felipe transferred a balance of $3700 to a new credit...
Answer:
(3700)(1+.059/12)^4(1+.172/12)^8 is the corect answer -Apex
Step-by-step explanation:
Answer:
Option C is correct.
Step-by-step explanation:
Felipe transferred a balance of $3700 to a new credit.
The card had an introductory offer of 5.9% APR for the first 4 months and after that 17.2 % APR.
The card compounds interest monthly, that gives n = 12
So, the equation that represents Felipe's balance at the end of the year will be:
[tex]p(1+\frac{r}{n})^{a}\times (1+\frac{r}{n})^{b}[/tex]
Here a is the introductory rate number of months that is 4
And b is the rest of the standard months that is 8
So, the expression becomes:
[tex]3700(1+\frac{0.059}{12})^{4}\times (1+\frac{0.172}{12})^{8}[/tex]
A tourist traveled on a motorboat against the current for 25 km. And then returned back on a raft. In the boat the tourist traveled for 10 hours less than on the raft. Find the speed of the current if the speed of the motorboat in still water is 12 km/hour.
Answer:
2 km/h
Step-by-step explanation:
Let x km/h be the speed of the current.
1. A tourist traveled on a motorboat against the current for 25 km (the current interfered), then it took him
[tex]\dfrac{25}{12-x}\ hours.[/tex]
2. Then he returned back on a raft (the speed of the current is the speed of the raft), then it took him
[tex]\dfrac{25}{x}\ hours.[/tex]
3. In the boat the tourist traveled for 10 hours less than on the raft, thus
[tex]\dfrac{25}{12-x}+10=\dfrac{25}{x}.[/tex]
Solve this equation:
[tex]25x+10x(12-x)=25(12-x),\\ \\25x+120x-10x^2=300-25x,\\ \\10x^2-170x+300=0,\\ \\x^2-17x+30=0,\\ \\D=(-17)^2-4\cdot 30=289-120=169,\\ \\x_{1,2}=\dfrac{-(-17)\pm\sqrt{169}}{2}=2,\ 15.[/tex]
The speed of the current cannot be greater than the speed of the boat, because then tourist was not able to travel against the current. Thus, the speed of the current is 2 km/h.
Can you please help me with this?
Answer:
A
Step-by-step explanation:
The volume of a prism can be found by multiplying the area of the base by the height. It is the formula V = B*h. Here B = 108. Substitute and solve.
V = 108*8 = 864
This is answer A.
Given a=-3 and b=4 and c=-5, evaluate |c-a-b|.
Answer:
2
4
6
answer should be 6
explanation: -5-(-3)-4 = -5 + 3 - 4 = -2 - 4 = -6 and the absolute value of -6 is 6
What are the dimensions of the poster at 1/3 it’s current size
Answer:
2 in. by 3 in
Step-by-step explanation:
i think i could be totally wrong i probably am so so sorry
Which container has the greatest surface area? (Use 3.14 for π .)
cone
cylinder
square pyramid
rectangular prism
Answer:
The rectangular prism has the greatest surface area
Step-by-step explanation:
Verify the surface area of each container
case A) A cone
The surface area of a cone is equal to
[tex]SA=\pi r^{2} +\pi rl[/tex]
we have
[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter
[tex]l=10\ in[/tex]
substitute the values
[tex]SA=(3.14)(3)^{2} +(3.14)(3)(10)=122.46\ in^{2}[/tex]
case B) A cylinder
The surface area of a cylinder is equal to
[tex]SA=2\pi r^{2} +2\pi rh[/tex]
we have
[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter
[tex]h=10\ in[/tex]
substitute the values
[tex]SA=2(3.14)(3)^{2} +2(3.14)(3)(10)=244.92\ in^{2}[/tex]
case C) A square pyramid
The surface area of a square pyramid is equal to
[tex]SA=b^{2} +4[\frac{1}{2}bh][/tex]
we have
[tex]b=6\ in[/tex] ----> the length side of the square
[tex]h=10\ in[/tex] ----> the height of the triangular face
substitute the values
[tex]SA=6^{2} +4[\frac{1}{2}(6)(10)]=156\ in^{2}[/tex]
case D) A rectangular prism
The surface area of a rectangular prism is equal to
[tex]SA=2b^{2} +4[bh][/tex]
we have
[tex]b=6\ in[/tex] ----> the length side of the square base
[tex]h=10\ in[/tex] ----> the height of the rectangular face
substitute the values
[tex]SA=2(6)^{2} +4[(6)(10)]=312\ in^{2}[/tex]
Answer:
The rectangular prism has the greatest surface area
Step-by-step explanation:
mark me brainy plz!
Can i get help on 80 and 90 please
Answer:
vvv
Step-by-step explanation:
80: The answer is .1675 or .17 (rounded)
Explanation: 1/4 = .25 and 2/3 = .66 repeated/ .67
.25x.67=.1675
90: B baskets in a attempts. There is 12 baskets in 25 attempts. 12/25 = .48
The field goal average is .48
Hope this helps xoxo
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Robert is in charge of a community swimming pool. Each sprig he drains it in order to clean it. Then he refills the pool, which holds 120,000 gallons of water. Robert fills the pool at a rate of 10 gallons each minute. What is the rate at which Robert will fill the pool? Is it constant? Write an equation for the direct variation.
Answer:
It is constant (10 gallons a minute)
120,000/10 = 12,000
12,000 minutes to fill the pool
120,000 - 10x
Step-by-step explanation:
Answer:
The pool holds 120,000 gallons of water.
Robert fills the pool at a rate of 10 gallons each minute.
That means for filling 120000 gallons, he will need = [tex]\frac{120000}{10}[/tex] = 12000 minutes
If we convert this to hour, then in 1 hour, [tex]10\times60[/tex] = 600 gallons can be filled.
So, the rate in gallons per hour = [tex]\frac{120000}{600}[/tex] = 200 gallons per hour.
Therefore, the rate at which Robert will fill the pool is 200 gallons per hour.
Yes the rate is constant.
what are the trig ratios for a right triangle?
Sintheta=[tex]\frac{Perpendicular}{Hypotenuse}[/tex]
Costheta=[tex]\frac{Base}{Hypotenuse}[/tex]
Tantheta=[tex]\frac{Perpendicular}{Base}[/tex]
Easy way to remember this ' Some People Have Curly Brown Hair Through Proper Brushing'
Hope this helps :)
The trigonometric ratios for a right triangle are sine, cosine, and tangent, which relate the sides of the triangle.
Explanation:The trigonometric ratios for a right triangle are sine, cosine, and tangent. Each ratio is defined in terms of the sides of the triangle.
The sine (sin) ratio is defined as the ratio of the opposite side to the hypotenuse. It is calculated as sin(A) = y/h, where y is the length of the opposite side and h is the length of the hypotenuse.
The cosine (cos) ratio is defined as the ratio of the adjacent side to the hypotenuse. It is calculated as cos(A) = x/h, where x is the length of the adjacent side and h is the length of the hypotenuse.
The tangent (tan) ratio is defined as the ratio of the opposite side to the adjacent side. It is calculated as tan(A) = y/x, where y is the length of the opposite side and x is the length of the adjacent side.
What is the answer to this question?
Answer:
80 HOPE THIS HELPED
Step-by-step explanation:
20+20+20+20=80
20 X 4 = 80
Consider two parallel line segments.
Part A: Find the slope of segment CD with endpoints C(−5, 4) and D(2, 1). Show your work. (2 points)
Part B: What is the value of y so that segment AB with endpoints A(−6, y) and B(1, −5) is parallel to segment CD question mark Show your work. (2 points)
Answer:
Part A: -3/7
Part B: y = -2
Step-by-step explanation:
Parallel lines have the same slope. Find the slope of CD. Then substitute it to find the value needed for AB.
The slope formula is
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-1}{-5-2} = \frac{3}{-7}[/tex]
Use the same formula and solve for y.
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\-\frac{3}{7}= \frac{y--5}{-6-1} \\\\\frac{3}{-7} =\frac{y+5}{-7}\\\\3 = y+5\\3-5 = y\\-2 = y[/tex]
What’s the answer to this question
Answer:
The length is 65 cm and the width is 12 cm
Step-by-step explanation:
A = lw = 780
P = 2 (l+w) = 154
The length is 5 more than 5 times the width
l=5w+5
P = 2 (l+w) = 154
Divide each side by 2
2 /2 (l+w) = 154/2
l+w = 77
Substituting l = 5w+5
5w+5 +w = 77
6w+5 = 77
Subtract 5 from each side
6w +5-5 = 77-5
6w = 72
Divide each side by 6
6w/6 = 72/6
w = 12
Now lets find l
l = 5w+5
l = 5(12)+5
l = 60+5
l = 65
Which expression is a factor of 9r^2-4r+1?
A)3r-1
B)r-1
C)9r-1
D)There are no real factors
Answer:
Step-by-step explanation:
We could answer this either by checking each listed expression to see whether it is a factor of 9r^2-4r+1, or
We could take the coefficients of 9r^2-4r+1, determine the quantity b²-4ac (called the 'discriminant') and draw a conclusion based upon whether the discriminant is -, + or 0.
Let's use the 2nd approach.
Here, a = 9, b = -4 and c = 1.
Then the discriminant is b²2 - 4ac, or (-4)² - 4(9)(1), or 16 - 36.
Since 16 - 36 is negative, we conclude that this 9r^2 - 4r + 1 has NO REAL FACTORS.
Answer: is C
Step-by-step explanation:
Complete each of the following statements with the letter that represents the expression
The equivalent expressions are:
(3x² - 7x + 14) + (5x² + 4x - 6) = B. 8x² - 3x + 8
(2x² - 5x - 3) + (-10x² + 2x + 7) = A. -8x² - 3x + 4
(12x² - 2x - 13) + (-4x² + 5x + 9) = C. 8x² + 3x - 4
We have,
Expression:
(3x² - 7x + 14) + (5x² + 4x - 6)
Combine like terms.
3x² - 7x + 14 + 5x² + 4x - 6
8x² - 3x + 8
Expression:
(2x² - 5x - 3) + (-10x² + 2x + 7)
Combine like terms.
2x² - 5x - 3 - 10x² + 2x + 7
-8x² - 3x + 4
Expression:
(12x² - 2x - 13) + (-4x² + 5x + 9)
Combine like terms.
12x² - 4x² - 2x + 5x - 13 + 9
8x² + 3x - 4
Thus,
(3x² - 7x + 14) + (5x² + 4x - 6) = B. 8x² - 3x + 8
(2x² - 5x - 3) + (-10x² + 2x + 7) = A. -8x² - 3x + 4
(12x² - 2x - 13) + (-4x² + 5x + 9) = C. 8x² + 3x - 4
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Question
There are 18 black-and-white photos in the album if there are 90 photos in the album with fraction of the photos are black and white
Answer:
18/90 or you can say 18 over 90.
Step-by-step explanation:
So we have 18 out of the total of 90 photos.
So we know automatically the fraction is 18/90, we have 18 out of the rest of the 90 photos.
The fraction of photos in the album that are black and white is calculated by dividing the number of black and white photos (18) by the total number of photos (90) which results in a fraction of 0.2 or 1/5.
Explanation:To find what fraction of the photos are black and white, you'll start by considering all of the photos in the album. This is your total and it's 90 photos. Then, focus on the specific type of photos you're interested in, which are the black and white ones. There are 18 black and white photos. So to find the fraction of photos that are black and white, you would divide the number of black and white photos (18) by the total number of photos (90). This calculation would look something like this: 18 ÷ 90 = 0.2
So, the fraction of black-and-white photographs is 0.2 or, expressed as a common fraction, 1/5. This means that out of every 5 photos in the album, 1 of them is black and white.
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