Ann is a professional photographer. She has a photo 8cm long and 6cm wide. A customer wants a print of the photo. The print is to be similar to the original, but have half the area of the original. Ann plans to reduce the length and width of the photo by the same amount. What are the dimensions of the print? (Show work)

Answers

Answer 1

Answer: 6 cm by 4 cm

Step-by-step explanation:

Half of 48 = 24

(8-x)(6-x) = 24

x^2 - 14x + 24 = 0

FACTOR THE PROBLEM

x(x-2) -12(x-2) = 0

Therefore, x either equals 2 or 12

We reject 12 because it is larger than both of the original dimensions

CHECK

(8-2)(6-2) = 24

6 x 4 = 24


Related Questions

What is the slope of the line that goes through (2,6) and (4,5)

Answers

Answer:

-1/2

Step-by-step explanation:

You find the change in the y coordinates. 6 -> 5 is -1. Now the same for the x. 2 -> 4 is +2. now place them in a fraction with the y/x -1/2. if both were negative then you would just cancel out the negatives.

The prime number between 51 and 71

Answers

Answer:

There is more than one but here are the options. 53, 59, 61, and 67

A grocery store sells a bag of 8 oranges for $6.24. If Chase spent $8.58 on oranges, how many did he buy?

Answers

Answer:

10 oranges

Step-by-step explanation:

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Pedro is an airline attendant. Last week, he worked on flights on 4 small jets and 3 large jets, which could seat a total of 418 passengers. The week before, he was assigned to flights on 5 small jets and 3 large jets, which could seat a total of 464 passengers. How many seats were on each type of flight?

The flights on small jets each had _____seats, and the flights on large jets each had
______ seats.

Answers

Step-by-step explanation:

4s+3L=418 3L=418-4s

5s+3L=464

5s+418-4s=464

5s-4s=46

s=46

4×46+3L=418

184+3L=418

3L=234

L=78

How can you determine if a graph is proportional?

Answers

Line go through the origin

Hellloooo Please help ASAP!!!!!!!!!!

Answers

Answer:

There is no horizontal asymptote

Gabi tried to solve an equation step by step.
0.1(0.5m+6)=2

Answers

Answer:

m=28

Step-by-step explanation:

0.1(0.5m+6)=2

Distribute

.05m +.6 =2

Subtract .6 from each side  

.05m +.6-.6 = 2-.6

.05m = 1.4

Divide each side by .05

.05m/.05 = 1.4/.05

m = 28

m=28
Step-by-step explanation:
0.1(0.5m+6)=2
Distribute
.05m +.6 =2
Subtract .6 from each side
.05m +.6-.6 = 2-.6
.05m = 1.4
Divide each side by .05
.05m/.05 = 1.4/.05
m = 28

What is the product?
43.4-3
O 0
1
4
6

Answers

The product is 1. This is because 4^-3=0.015625 and when you do 4^3 it = 64. Then you need to multiply 64*0.015625=1

Answer:

1

Step-by-step explanation:


If using the method of completing the square to solve the quadratic equation
2? + 4x + 3 = 0, which number would have to be added to "complete the square"?

Answers

Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Answer:

to solve quadratic equations you need to first figure out how many terms you have and if you have more than 3, your in luck but the AZB formula will not include the terms 1 2 or 3

Step-by-step explanation:

Help with this homework pls

Answers

Answer:

We conclude that:

[tex]b=a-cd;\quad \:c\ne \:0[/tex]

Hence, option A is true.

Step-by-step explanation:

Given the expression

[tex]\frac{a-b}{c}=d[/tex]

Solving for b

[tex]\frac{a-b}{c}=d[/tex]

Multiply both sides by c

[tex]\frac{\left(a-b\right)c}{c}=dc;\quad \:c\ne \:0[/tex]

simplify

[tex]a-b=dc;\quad \:c\ne \:0[/tex]

Subtract a from both sides

[tex]a-b-a=dc-a;\quad \:c\ne \:0[/tex]

Simplify

[tex]-b=dc-a;\quad \:c\ne \:0[/tex]

Divide both sides by -1;  c≠0

[tex]\frac{-b}{-1}=\frac{dc}{-1}-\frac{a}{-1};\quad \:c\ne \:0[/tex]

simplify

[tex]b=a-cd;\quad \:c\ne \:0[/tex]

Therefore, we conclude that:

[tex]b=a-cd;\quad \:c\ne \:0[/tex]

Hence, option A is true.

Find the values x, y,and z

Answers

Step-by-step explanation:

x°+y°=90°

mSquare =360°

z°= 360°-(90°+90°+51°)

z°=360°-231°

z°=129°

mTriangle=180°

angle in base of triangle is equal

because this is isosceles triangle

so 2y°+z°=180°

2y°+129=180°

2y°=180°-129°

2y°=51°

y°=51°/2

y°=25.5°

x°+y°=90°

so x°=90°-y°

x°=90°-25.5°

x°=64.5°

final

x=64.5°,y=25.5°,z=129°

Sorry, the last one wasn’t showing the picture. Is this a function or not? Also tell me how you got the answer. TwT ty

Answers

Answer:

yes this is a function

Step-by-step explanation:

simple method to find if something is a function

if you can draw a vertical line at any point on the graph and get two intersections, it is not a function

which ballon was father from the town at the beginning, and which traveled more quickly.

Answers

Be more specific, what your talking about ?

What is the equation of the line that passes through the point (-2, 1) and has a
slope of – ?

Answers

Accurate Explanation: Aloha! Basically, as I can see here, you're missing a slope. But you need at least 1 point and a slope in order to write an equation. Hope it helps.

HELP ME PLEASE FAST. Which description best compares the graphs of these two functions?

Answers

Functions A and B have the same y- intercept

Answer:

what #1 said

Step-by-step explanation:

Been stuck on this one for a while will give brainiest plus this question is worth 20 points im desperate

Answers

Answer:

the scale factor is 25, 3000/125 scaled down,

Step-by-step explanation:

you can also explain this with a 25:1 ratio, 25 inches from the original scaled to 1 inch for the photo copy.

The shapes show that there are 4 squares for every


6 circles and 4 squares.

4 circles.

6 circles.

8 circles.

10 circles.

Answers

Answer:

8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

beacause there are 4 squares for every 6 circles.

Can someone help with this

Answers

Answer:

The 3rd one

Step-by-step explanation:

A circular "Do Not Enter" road sign has a diameter of 54 centimeters. Which measurement is closest to the area of the sign in square centimeters? 84.78 cm² 169.56 cm² 339.12 cm² 2289.06 cm²

Answers

Answer:

it is 169.56

Step-by-step explanation:

Answer:

89.78

Step-by-step explanation:

54 ÷ 2 = 27

27 x 3.14 = 89.78

hope it helps

Solve using the quadratic formula
x2 + 2x – 2 = 0
Give your answers to 2DP.
X =
X =

Answers

-2plusmimus 2
X=0
X=-4


What is the slope and equation of a line parallel to the y-axis passing through point (9, -1)?
O A. The slope is zero and the equation of the line is y=-1.
O B. The slope is undefined and the equation of the line is y = -1.
O C. The slope is undefined and the equation of the line is x = 9.
D. The slope is zero and the equation of the line is x

Answers

Answer:

The slope is undefined and the equation of the line is x = 9C

Step-by-step explanation:

Parallel lines have the same slopes and different y-interceptsThe slope of any vertical line is undefinedThe equation of any vertical line is x = a, where a is the x-coordinate of a point that lies on the lineAll x-coordinates of the points lie on a vertical line equal

Let us solve the question

The line is parallel to the y-axis

∵ The y-axis is a vertical line

→ By using the second note above

∴ The slope of the y-axis is undefined

→ By using the first note above

The slope of the line is undefined

→ By using the third note above

∵ The equation of the vertical line is x = a

∵ a is the x-coordinate of a point on the line

∵ The line passes through the point (9, -1)

a = 9

The equation of the line is x = 9

Solve for the missing side length

Need help please

Answers

Answer:

6

Step-by-step explanation:

Let the missing side be represented as x.

Applying the triangle proportionality theorem, we have:

[tex] \frac{15}{x} = \frac{14 - 4}{4} [/tex]

Solve for x

[tex] \frac{15}{x} = \frac{10}{4} [/tex]

Cross multiply

[tex] x(10) = 4(15) [/tex]

[tex] 10x = 60 [/tex]

Divide both sides by 10

x = 6

Answer:

23

Step-by-step explanation:

Labeling Parts of a Circle
Try It
Find the best match for each
label in the diagram.
Chord
Radius
Center
Diameter

Answers

Answer:

Click on the screenshot, I labeled the parts

Hope this helps :))

A figure is attached in the answer which have parts of circle.

The Radius is the distance from the center outwards.

The Diameter goes straight across the circle, through the center.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

The center of a circle is the point equidistant from the points on the edge.

What is a circle?

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The Radius is the distance from the center outwards.

The Diameter goes straight across the circle, through the center.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

The center of a circle is the point equidistant from the points on the edge.

Given circle diagram

We have to label the parts of a circle.

A figure is attached in the answer which have parts of circle.

Find out more information about parts of circle here

https://brainly.com/question/17379261

#SPJ3

A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe. Fruit Cups Used Apples 3 Mangoes 1 Blueberries 2 Blackberries 1 If a total of 16 cups of apples and blackberries are used, how many batches of the recipe did the chef make? 2 batches 4 batches 6 batches 8 batches​

Answers

Answer:

4 batches!!

Step-by-step explanation:

apples + blackberries = 16 cups

blackberries = 1 for one batch

apples = 3 for one batch

1 x 4 = 4

3 x 4 = 12

12 + 4 = 16

Answer:

The Correct Answer Is B.) 4 Batches

Step-by-step explanation:

Could anyone help me please ill put you as brainliest

Answers

Answer:

If im correct the value of n should be 3

Step-by-step explanation:

It might be 3 but not sure hope it goes well

HELP!!!
show work please​

Answers

Answer:

someone is in trouble

Step-by-step explanation:

I did that answer because it was help in capitalized letters so i thought someone was in trouble

Please help me :)

The _____ contains lists of commands used to create presentations.
Outline view
Menu bar
Slide pane
Title bar

Answers

Answer:

Menu bar

Step-by-step explanation:

The correct answer for this question is menu bar

The length of a TV is 16/9 times the width. The length of Mrs Hoang’s new TV is 32 inches. What is it’s width?

Answers

Answer: 4,608

Step-by-step explanation:

9 x 16 = 144 x 32 = 4, 608

Answer:28 inches

Step-by-step explanation:

Explain how you know pi is a constant. Use ratios of two circles to justify your answer.

Answers

is defined to be the ratio of the circumference of a circle over its diameter (or 2 times its radius). This ratio is a constant since all circles are geometrically similar and linear proportions between any similar geometric figures are constant.

Answer:

ratio is a constant since all circles are geometrically similar and linear proportions between any similar geometric figures are constant.

Step-by-step explanation:


Marilu invested $3,000 in a fund with an interest rate of 2.5% compounded semi-
annually. After 5 years what will the investment be worth?
A = P(1+)
$3,396.81
$9,633.10
$3,380.90
$3,518.18
$4,410.05

Answers

Answer:

$ 3,396.81

Step-by-step explanation:

The formula uses to calculate the amount of an investment after t years which is compounded is given as:

A = P(1 + r/n)^nt

Where:

A = Amount of Investment after t years

P = Principal = $3,000

r = Interest rate = 2.5 %

t = Number of years of Investment = 5 years

n = Compounding frequency = semi annually = 2

First, convert R percent to r a decimal

r = R/100

r = 2.5%/100

r = 0.025 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 3,000.00(1 + 0.0125/2)^(2×5)

A = $ 3,396.81

The total Investment from compound interest on an original principal of $3,000.00 at a rate of 2.5% per year compounded 2 times per year over 5 years is $ 3,396.81.

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