Benjamin bought a 3- pound bag of flour for 6.95. What is the unit price per ounce of flour? (1 pound =16 ounces)

Answers

Answer 1

Answer:

$0.145/ounce

Step-by-step explanation:

Find the unit price by dividing $6.95 by 3 pounds and then multiplying the result by (1 pound)/(16 oz):

$6.95     *    1 pound

------------------------------- = $0.145/ounce

(3 pounds) * (16 oz)


Related Questions

What is the midpoint of the segment shown below? 10 A. (5, 1); (5, 4) B . (5, 1/2) -10 10 (5, - 3) C. (10, 1) D . (10, 1/2)

Answers

Based on the given parameters, the midpoint of the line segment is (5, 1/2)

How to determine the midpoint of the segment?

The complete question is added as an attachment

From the figure, we have the following coordinates

(5, 4) and (5, -3)

The midpoint of the segment is then calculated using

(x, y) = 0.5 * (x1 + x2, y1 + y2)

Substitute the known values in the above equation

(x, y) = 0.5 * (5 + 5, 4 - 3)

Evaluate the sum and the difference

(x, y) = 0.5 * (10, 1)

Evaluate the product

(x, y) = (5, 1/2)

Hence, the midpoint of the line segment is (5, 1/2)

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1
Select the correct answer.
What are the zeros of this quadratic function?
fx)=(x-7)(x+8)
OA
x = 0 and x = 7
OB. x= 0 and x = -8
OC. x=-7 and x = 8
OD. x=7 and x = -8

Answers

Answer:

B

hope this helps :)

Answer:

D

Step-by-step explanation:

to find the zeros, equate f(x) to zero, that is

(x - 7)(x + 8) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 8 = 0 ⇒ x = - 8

Which of the following shows the power of a power property

Answers

Answer: MULTIPLYING THE EXPONENTS!!!

Step-by-step explanation:

Mark me brainliest

f(x) = x² + 5x-1 is shifted 3 units right. The result is g(x). What is g(x)?
O A. g(x) = (x+3)² + 5x-1
OB. g(x)=x2 + 5x+2
C. g(x) = (x+3)2 +5(x + 3) - 1
D. g(x) = (x-3)2 + 5(x-3) -1

Answers

Answer:

D

Step-by-step explanation:

When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)

Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)

Given f(x) is shifted 3 units right,

the new function, g(x) becomes:

[tex] g(x) = {(x - 3)}^{2} + 5(x - 3) - 1[/tex]

Therefore the answer is D in this case.

The linear regression method seeks to predict values of a(n) variable based on values of a(n) variable.

Answers

The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n)  independent variable.

According to the statement

we have to explain the linear regression method and explain the way by which this method is used to predict the values.

So, For this purpose we know that the

Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.

And

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

from these definitions it is clear that the there is a presence of two types of variables which are dependent and independent variables.

So, The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n)  independent variable.

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Which triangle is a translation of triangle P?

Answers

C is a translation of triangle P
triangle D would bc the answer

Instructions: Find m

Answers

Check the picture below.

we could also look at it from the inscribed angle theorem, bearing in mind that the intercepted arc is 180°.

The distance that you run around the track in gym class is considered ______ data.

A. discrete
B. neither continuous nor discrete
C. continuous
D. both continuous and discrete

Answers

The distance that you run around the track in gym class is considered continuous data.

How to determine the type of data?

The variable is given as:

Distance

The distance travelled can take any value between 0 and the length of the track.

Take for instance;

The distance travelled can be 1km and it can also be 1.67 km

This means that the distance is continuous

Hence, the statement that completes the blank is (c) continuous

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Given f(x) =
8x+1
2x-9
what is the end behavior of the function?
ONA
LR
OAS X→∞, f(x) → 9; as x→ ∞, f(x) → 9.
-
OAS X→∞, f(x) →-9; as x, f(x) → -9.
OAS X →∞, f(x) → -4; as x → ∞, f(x) → -4.
As
OAS X-∞, f(x)→ 4; as x→ ∞, f(x)→ 4.
O
BASSENG
D
se

Answers

The end behavior of the given function (range) is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. The solution in interval notation is [tex]\mathbf{(-\infty, 4) \cup (4, \infty)}[/tex].

The last option is correct.

What is the range of the function?

The end behavior of the given function f(x) = (8x+1)/2x-9 wants us to identify the range of the given function.

The range is the set of values of the dependent variable for which a function is defined. The function range is the combined domain of the inverse function.

From the information given:

[tex]\mathbf{f(x) = \dfrac{8x +1}{2x -9 }}[/tex]

Inverse of [tex]\mathbf{\dfrac{8x +1}{2x -9 }}[/tex] becomes [tex]\mathbf{f(x) = \dfrac{1+9x}{2(-4+x) }}[/tex]

The domain of the inverse is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. Now, representing the solution in interval notation, we have:

[tex]\mathbf{(-\infty, 4) \cup (4, \infty)}[/tex]

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What's a venn diagram, how to draw it and the steps too!

Answers

What is a Venn Diagram?

Explain : A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.

How to draw a Venn Diagram?

Explain : To create an intersecting Venn diagram, draw three circles that overlap in the middle. You'll be able to show which attributes are unique to each circle, which overlap between two, and which are common characteristics of all three groups. Two circles overlapping is a classic venn diagram

What is a venn Diagram mostly used for?

Explain : A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. Often, they serve to graphically organize things, highlighting how the items are similar and different.

Set notations: The concepts illustrated in Venn ...

Scaled Venn Diagram: Also called Area Propo...

Reuleaux Triangle: Shape formed from the int...

Intersection: The items that overlap in the sets. ...

Here's some question for Venn Diagrams!

A. What's the first step creating a Venn Diagram? https://www.math-only-math.com/practice-test-on-Venn-diagrams.html

B. What's the last step to create a Venn Diagram? https://www.purplemath.com/modules/venndiag4.htm

C. What does a Venn Diagram looks like?

( Try using those questions to partice more about Venn Diagrams! )

( Also, thank you for the points! )

The function has three factors. Two of these factors
are and Determine the values of a and b, and then determine the
other factor.

Answers

The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.

How to illustrate the function?

The function is given as:

f(x) = ax³ - x² + bx - 24.

Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.

This will be solved by elimination method and the values of a and b will be -2 and 22.

Therefore, f(x) = -2x³ - x² + 22x - 24

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This is confusing someone help please

Answers

Answer:

Below in BOLD.

Step-by-step explanation:

5x^2 - 6x - 2 = 0

Quadratic formula for ax^2 + bx + c = 0  is

x =  [-b ± √(b^2 - 4ac)]/ 2a    

Here we have a = 5, b = -6 and c = -2

so x =  [-(-6)  ± √((-6)^2 - 4*5*-2)]/ 2*5

=  [ 6 ± √(36 + 40)] / 10

= 0.6 ±  √76 / 10

= 0.6 ±  0.8718

= 1.4718,  -0.2718

= 1.5, -0.3 to one decimal place.

x^2 + 3x = 40

x^2 + 3x - 40 = 0

We can factor this one:

(x - 5)(x + 8) = 0

x - 5 = 0 giving x = 5 and

x + 8 = 0 giving x = -8.

Answer  x = -8, 5.

What is the range of the function f(x) = 6x – 2 over the interval of 3 < x ≤ 8

Answers

The range of f(x) = 6x – 2 is [16,46]

According to the statement

we have given the function f(x) = 6x – 2 and the given interval is 3 < x ≤ 8

we know that to find the range of function we have to fill the values in it and then find the range of this function.

So, range is basically a difference between the lowest and the highest value.

Here the given function is f(x) = 6x – 2

when f(3) then

f(3) = 18-2

f(3) = 16.

and when f(8) then

f(8) = 48-2

f(8) = 46.

after put the values we seen that the range of this function is 16,46.

So, The range of f(x) = 6x – 2 is [16,46]

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Answer is :

16 and 46

Step-by-step explanation:

Given function

[tex]\sf f(x) = 6x - 2 [/tex]

We need to the find the range of the function over the interval of 3 < x ≤ 8

When, x is 3

Put x = 3 in the given function,

[tex]\sf f(3) = 6(3) +2 [/tex]

[tex]\sf f(3) = 18 - 2 [/tex]

[tex]\sf f(3) = 16 [/tex]

when, x is 8

Put x in the given function,

[tex]\sf f(8) = 6(8) -2 [/tex]

[tex]\sf f(8) = 48 - 2 [/tex]

[tex]\sf f(8) = 46 [/tex]

Hence range of the function f(x) = 6x – 2 is 16 and 46.

What is the imagine point of (4,-2) after the transformation ry=-i ○ D1/2

Answers

The image point of (4,-2) after the transformations given is; (2,1).

What is the image point after the transformations?

It follows from the task content that the point given is (4, -2) which first reflects over the y axis and hence, renders the new image to be; (4, 2) after which it undergoes a dilation of with dilation factor, 1/2 and hence, the image point is; (2,1).

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what's y=1/4x-4 on a graph? please helppppppp!!!!

Answers

Answer:

Please see attachment.

Step-by-step explanation:

Remember, the 1/4x is the slope, and the -4 is the y-intercept.

Please see attachment for the graph.

Hope this helps!

A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent. The class has suggested four different methods.

PLEASE HURRY:Which describes the correct method?
Both expressions should be evaluated by substituting one value for x. If the final values of the expressions are both positive after the substitution, then the two expressions must be equivalent.
Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.
Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Answers

Answer:

Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

x = 1

4x - (x + 5) = 4 - 6 = -2

8 - 3x - 3 = 8 - 3 - 3 = 2

Given that a does not equal b is it ever possible to have square root a + square root b = square root a+b? Someone please help.

Answers

Answer:Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

If either a or b equals zero, then the sums would be the same.

Since the square root of 0 is 0, adding it to a given radical would not change the radical. Also, adding zero to the radicand would not change its value.

Step-by-step explanation:

The statement √a + √b = √(a + b) is not possible since a ≠ b

How to determine whether or not the statement is true?

The operation involving surd is most likely an algebraic expression where in the case of surd the value in the square root are like the alphabets in algebraic expression.

Some surd operations are given as shown below:

√a + √a = 2√a√a × √a = a2√a + √a = (2 + 1)√a = 3√a3√a - 2√a = (3 - 2)√a = √a√a × √b = √(a × b) = √(ab)√a + √b = √a + √b

Now, let us consider the question given:

a ≠ b√a + √b = √(a + b)

Since a and b are not equal, it means

√a + √b ≠ √(a + b)

Thus, we can conclude that the statement √a + √b = √(a + b) is not possible

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Find the value of z.
A. 100
B. 82
OC. 118
OD. 75
o'
105°
120°
68⁰

Answers

Answer:

B. 82

Step-by-step explanation:

I hope it helps you :)

The value of z in the given figure of circle with two lines dividing it into segments is 100.

We are given that the measures of angles ∠1 and ∠2 are 105° and 120°, respectively.

Step 1: Since the interior angles of a triangle add up to 180°, we know that the measure of ∠3 is 180° - 105° - 120° = 55°.

Step 2: Since ∠3 and ∠z are supplementary angles, we know that m∠3 + m∠z = 180°.

Step 3: Substituting the measures of ∠3 from step 1 into step 2, we get 55° + m∠z = 180°.

Step 4: Subtracting 55° from both sides of the equation in step 3, we get m∠z = 180° - 55° = 125°.

Step 5: Since m∠z = 125°, then z = 125°.

Therefore, the value of z is 100.

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Draw a line segment of length 6.4 cm and divide it in to 4 equal parts.
Write the length of each part.

Answers

The length of each part of a the line segment is 1.6 cm if a line segment of length 6.4 cm and divided it in to 4 equal parts

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

The line segment has a length of 6.4 cm. Hence:

Dividing into 4 equal parts = 6.4 / 4 = 1.6 cm

The length of each part of a the line segment is 1.6 cm if a line segment of length 6.4 cm and divided it in to 4 equal parts

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can someone please help me?

answer choices:
A. sin (0)
B. cos (0)
C. sin (3/2)
D. cos (3/2)
E. sin ()
F. cos ()

Answers

Answer:

B, cos(0)=1

Step-by-step explanation:

cos(0)=1

Coordinate A is at point (1,0)

The red blood cell counts for a population of adult males can be approximated by a normal distribution with a mean of 5.3 million cells per microliter and a standard deviation of 0.3 million cells per microliter what is the minimum red blood cells count that can be in the top 28% of accounts

Answers

The minimum red blood cells count that can be in the top 28% of accounts is 5.61%.

Red blood cells, also called crimson cells, purple blood corpuscles, haematids, erythroid cells, or erythrocytes, are the maximum common type of blood cells and the vertebrate's primary approach of delivering oxygen to the body tissues thru blood drift thru the circulatory device.

A low RBC depends, also called anemia, can have an effect on the frame's capability to transport oxygen and vitamins around the cardiovascular machine. it may reason fatigue, dizziness, and heart palpitations. The maximum not unusual form of anemia is iron deficiency anemia. this can result from blood loss, malnutrition, or kidney problems.

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Can someone help? ASAP

Answers

Question 4

[tex]\sin 30^{\circ}=\frac{y}{14\sqrt{3}}\\\\\frac{1}{2}=\frac{y}{14\sqrt{3}}\\\\\boxed{y=7\sqrt{3}}\\\\\\\\\cos 30^{\circ}=\frac{x}{14\sqrt{3}}\\\\\frac{\sqrt{3}}{2}=\frac{x}{14\sqrt{3}}\\\\\boxed{x=21}[/tex]

Question 5

[tex]\cos 45^{\circ}=\frac{x}{28}\\\\\frac{1}{\sqrt{2}}=\frac{x}{28}\\\\x=\frac{28}{\sqrt{2}}\\\\\boxed{x=14\sqrt{2}}\\\\\\\\\sin 45^{\circ}=\frac{y}{28}\\\\\frac{1}{\sqrt{2}}=\frac{y}{28}\\\\y=\frac{28}{\sqrt{2}}\\\\\boxed{y=14\sqrt{2}}[/tex]

How do we combine like terms with negative coefficients
5n+6+(-7n)

Answers

Answer:

- 2n + 6

Step-by-step explanation:

note that + (-) = -

5n + 6 + (- 7n)

= 5n + 6 - 7n ← collect like terms

= 5n - 7n + 6

= - 2n + 6

The ordered pair (10,63) is a solution to the inequality y Please select the best answer from the choices provided
True
False

Answers

The ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. This illustrates that the statement is true.

What is an inequality?

It should be noted that an inequality simply means a statement of an order relationship between two numbers and algebraic expressions.

From the information given, the equation illustrated is:

y < -0.2x² + 9x - 7.

63 < 0.2(10)² + (9 × 10) - 7

63 < 20 + 90 - 7.

63 < 103

In this case, the ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. This illustrates that the statement is true since sixty there is less than one hundred and three.

Therefore, this is true.

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Complete question:

The ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. Please select the best answer from the choices provided

True

False

A group of friends wants to go to the amusement park. They have no more
than $325 to spend on parking and admission. Parking is $11, and tickets cost
$39.25 per person, including tax.

Answers

Considering the definition of an inequality, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that:

A group of friends have no more than $325 to spend on parking and admission. Parking is $11Tickets cost $39.25 per person, including tax.

Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is

39.25 p + 11 ≤ 325

Solving:

39.25 p ≤ 325 -11

39.25 p ≤ 314

p ≤ 314÷ 39.25

p ≤ 8

Finally, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

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The school canteen charges rs. 15for lunch and rs. 5for milk for each day.how much money do you spend in 6 dayson these things?also, mention the property of whole numbers that have been used.

Answers

120Rs is spend in 6 days on these things and distributive property is used

Properties of whole numbers are defined to operate basic arithmetic operations such as addition and multiplication, in an easy way. Applying these properties helps us to solve such math problems quickly, without even using calculators. These properties are almost similar to the properties of integers, although the definition for whole numbers and integers are different.

Total cost of a single day= 15 + 5 = 20Rs

∴ In 6 days total cost = 20 x 6 = 120Rs

Thus 120Rs is spend in 6 days on these things and distributive property is used.

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Я
1
Which expression is equivalent to
O
зарко
2,²
345
Зарка
2,²
3x4
44
948

Answers

Answer:

I'm sorry mate for helping for nothing but i just need more points to post my question. I am really sorry.

f(x) = x^2 + 4x + 20 find the real roots. take your time if you want :)

Answers

Answer:

No real roots

[tex]x = -2 + 4i, x = -2 - 4i[/tex]

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: [tex]ax^2 + bx + c = 0[/tex]

Quadratic Equation: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

Given our Equation: [tex]f(x) = x^2 + 4x + 20[/tex]

a = 1b = 4c = 20

Set the equation to 0 and solve using the formula.

Solve[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-4\pm\sqrt{4^2 - 4(1)(20)}}{2(1)}[/tex][tex]x = \frac{-4\pm\sqrt{16 - 80}}{2}[/tex][tex]x = \frac{-4\pm\sqrt{-64}}{2}[/tex][tex]x = \frac{-4\pm8i}{2}[/tex][tex]x = -2 + 4i, x = -2 - 4i[/tex]

There are no real roots to the quadratic.

Select the interval where g is negative.
Choose 1 answer:
A)0B)2C)3

Answers

Answer:

A). 0

Step-by-step explanation:

If you look at the graph, you can see that the only time it passes through the X- Axis is at (0, -20). Therefore, the solution to y=g(x) where g is negative, would be 0.

A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft. what is the change in the scale factor from the old scale to the new scale? one-third two-thirds 2.2 3

Answers

3 is the scale factor that was changed from the previous scale to the new scale.

What is  the scale factor?

The scale factor is a way to compare figures that appear to be similar but actually have distinct scales or measurements. Let's say two circles have similar appearances but different radii. A figure's scale factor indicates how much larger or smaller it is than the original figure.

What is the change in the scale factor?

A scale drawing is a condensed representation of an original image, structure, or object in terms of dimensions. The scale drawing is typically shrunk at a fixed dimension.

The change in the scale factor = larger scale / smaller scale

3.3 / 1.1 = 3

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Answer: 3

Step-by-step explanation:

Other Questions
- Importaciones $ 148.000.- Exportaciones $ 120.000.-Saldo de la Balanza comercial Positivo o negativo? Pas rico o pobre - Por qu? 1. Light of wavelength 900x10-9 m is emitted by a source. What is its frequency? po pros.com6 - Lesson 13OOOJust the Right WordWLWord ListadaptfatiguehabitatprominentseardepletegaitobliviousquenchtransportefficientglareoutmodedrigorwendRead each sentence carefully and then type the correct word into the space provided. The hint mayhelp you.You might need to change the word so that it fits into the sentence better. For example, a word suchas recommend could become recommendation.Be sure to check your spelling. Because the answers are scored automatically, words that aremisspelled will be marked as incorrect.1. If we aren't careful, we will deplete the water we brought on the hike.2. Even a short walkmy old dog.3. Animals that do not Adapt fail to survive.4. The mighty Mississippiits way to the sea.5. The Empire State Building is alandmark in New York City.6.is the responsibility of the shipping department.7. Theof the welding torch almost blinded me.8. The lemur'sis Madagascar9. The children cantheir thirst at the water fountain.10. A tune-up will help an engine be11. The method you propose is12. Penguins are well suited to the habitat of the Antarctic.e Evaluate the limit(-2n^n/4+n Please list the ways that negative body image is characterized then list the ways that positive body image is characterized IS ANYONE GOOD AT WRITING!?!?! IF YOU ARE PPPLLZZZ HHHHHHEEEEEEELLLLPPP MEEEEEE WITH THIS WRITING :DWrite a short paragraph that explains the central idea of the article. Use at least two details from the article to support your response.I will put the link to the article below the question! :DRefresh a few times to get the link to the article helppp pleaasssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee 50 PTSSSSSSSSSSSSSSSSSSThe expression 500(1.03)t models the population of a city in thousands of people t years since 2010. Based on this model, answer the following question: What is the expected population in the year 2025? In the poem, John Henry twice mentions a connection between his hammer and his death before he battles the steam drill. What effect does this have on the reader? What is the area of a parallelogram with a base of 14 feet and a height of 6 feet? Make sure you label your answer correctly too. Drugs affect your _____.for drivers ed btw :) *WILL GIVE BRAINLIEST 15 POINTS*Find the volume of the triangular prism:formula: V=12x base x height x lengthQuestion 4 options:A: 39 units3B: 90 units3C: 1,944 units3D: 972 units3 The prefix re-adds the meaning "back" or "again" to a base word.Which of the following words uses the letters re as a prefix meaning"back"? *1. you're2. returned3. real4. before I'm not sure how to do these, slader is no assistance to me. a body of mass 20kg initially at rest is subjected to a force of 40N for 1sec calculate the change in kinetic energy showing the solution 1/4 and 1/2 common denominators The express elevator in the Empire State Building in New York City travels nonstop fromthe ground floor to the top floor at a rate of 1,400 feet per minute.The express elevator in the John Hancock Center in Chicago travels nonstop from theground floor to the observatory on the top floor at a rate represented by the equationy = 30x, where y is the height, in feet, and is the number of secondsGraph the two relationships on the grid below to compare the rates of thetwo elevators,ELEVATOR RATESIHeight (feet)1,000900800700600500400300200100010405020 30Time (seconds)Which elevator travels at a faster rate?Using the information from the graph, explain how you got your answer. Who is farther from home at 4 minutes? (3/8)^-2(1/3x3/8)^3(1/3)^4 Help please looks at the photos