Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in., 4 in. × 6 in., and 4.25 in. × 6 in. Which size postcard should she use? Explain.

Answers

Answer 1

Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.


Related Questions

pls help me any bit can help need it asap though. only need part lll the words cutt of are show work​

Answers

Answer:

y = 4/3 x - 3.

Step-by-step explanation:

III

y - 5 = 4/3(x - 6)

y = 4/3(x - 6) + 5

y = 4/3 x - 8 + 5

y = 4/3 x - 3.


You can compute the slope of a line by using the slope ___

Answers

You can compute the slope of a line by using the slope formula. This is given by:

slope,m=(change in y-axis)/(change in x-axis)

           =(Δ y-axis)/(Δ x-axis)

Given the points (x1,y1) and (x,y) from a linear graph, then:

slope m will be:

          m=(y-y1)/(x-x1)

You can compute the slope of a line by using the slope formula.

what is to be added to -1 to get the number 7 by 5​

Answers

Answer:

Step-by-step explanation:

let the number be x

-1 + x = 7/5

x = 7/5 +1

x = 12 /5

please mark me as the brainliest

Answer:

x=12/5

Step-by-step explanation:

Find the remainder when p(x)= x^5 + x^4 + x^3 + x^2 + 2x + 2 is divided by q(x) = x + 1

Answers

Answer:

0

Step-by-step explanation:

Given a polynomial p(x) divided by (x + h), then the remainder is

p(- h)

Here divisor is (x + 1), so evaluate p(- 1) for remainder

p(- 1) = [tex](-1)^{5}[/tex] + [tex](-1)^{4}[/tex] + (- 1)³ + (- 1)² + 2(- 1) + 2

        = - 1 + 1 - 1 + 1 - 2 + 2

        = 0

This means that (x + 1) is a factor of p(x)

What is the value of 3 in 731.8?

Answers

Answer:

Tens

Step-by-step explanation:

the three is in the tens value

Answer:

value = 30

place = tens

Step-by-step explanation:

( attached for reference)

the digit "3" is in the tens place.

Hence the value is "3-tens" or 3 x 10 = 30

PLEASE HELPPPPPPPPP
MARKING BRANLIEST

Answers

Answer:

A

A

5

Step-by-step explanation:

Rectangular Prism A

volume = length * width * height = 7 cm * 7 cm * 5 cm = 245 cm^3

Rectangular Prism B

volume = length * width * height = 8 cm * 6 cm * 5 cm = 240 cm^3

Answers:

A

A

5

Among 120 people , 80 drink tea and 40 drink
coffee. 20 of them drink neither tea or coffee;
answer the following question with the help of
a venn-diagram
1.how many of them drink tea only​

Answers

Answer:60

[tex]please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps....[/tex]

Please help ! I really don’t understand:((

Answers

Answer: B

Step-by-step explanation:

just took that

Answer:

the answer is B

Step-by-step explanation:

What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?

Answers

Answer:

not sure if that is the Answers

The equation of a line is y = mx where m is the slope. That line passes through the origin. If you want it to pass through some point (a, b) you subtract the coordinates like this: y - b = m (x - a). That is the point-slope form, and you can rewrite it in other forms if it is convenient. You may do this with any point on the line.

Step-by-Answers

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written? 2 x + z + 5 minus 6 z squared
2 x minus z minus 5 + 2 z squared
Negative 2 x minus z minus 5 + 2 z squared
Negative 2 x + z minus 5 + 2 z
squared
Thank you in advice

Answers

[tex]2x - z - 5 + {2z}^{2} [/tex]

Step-by-step explanation:

The coefficient of x is 2= 2x

the coefficient of z is -1 which is = (-1)z= -z

the constant term is less than zero which means that the constant term is a negative number.

so the answer becomes

[tex]2x - z - 5 + {2} { (- 1)}^{2} [/tex]

which is =2x-z-3

Answer:

2 x minus z minus 5 + 2 z squared

Step-by-step explanation:

Simply Savings Bank offers a simple interest rate of 10% per year. Compound Capital Bank offers an interest rate of 8% per year compounded continuously. If Shakira plans to invest $200 for 5 years, which bank should she choose?

Answers

Answer:

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Step-by-step explanation:

A simple interest rate account yields a return that follows the formula below:

[tex]return = C + C*r*t[/tex]

Where C is the invested money, r is the interest rate and t is the elapsed time in years.

While a compound interest rate account yields a return that follows the formula below:

[tex]return = C*e^{r*t}[/tex]

Therefore for the Simply Saving Bank she'll earn:

[tex]return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300[/tex]

While the Capital Bank she'll earn:

[tex]return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364[/tex]

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Na figura, OC é bissetriz do ângulo AOB. A medida de BÔC está representada,em graus, por uma expressão algérica.

A: Represente, por uma expressão algébrica, a medida de AÔB em graus.

B: Calcule a medida de BÔC e AÔB para x=9

Answers

Answer:

We know by given that OC bisects the angle, which means it divides the angle AOB in two equal parts. So,

[tex]m \angle AOB = 3x +5 + 3x +5 =6x+10[/tex]

If [tex]x=9[/tex], then we use this value to find each angle.

[tex]m \angle BOC = 3x+5 =3(9)+5=27+5=32[/tex]

Therefore, angles BOC and AOC measure 32°.

cebOOK
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -1 + 2
y = 3r -4

Answers

Answer:

r = 5/3

Step-by-step explanation:

There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?

Answers

Answer:

here

Step-by-step explanation:

The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.

If $5000 earns $6000 simple interest in 12 years, find the interest rate.

Answers

Answer:

2.2% interest

Step-by-step explanation:

The interest rate would be 10% per year

Find the measure of angle DEH:
E
D
ti
+
F
56°
다.
G
Value: 10
The measure of angle DEH is ___ degrees.

Answers

Answer:

62

Step-by-step explanation:

I did 180-56=124

124/2 which was 62

Solve for a side in a right triangle

Answers

Answer:

1.88 = ?

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 20 = ?/ 2

Multiply each side by 2

2 cos 20 = ?

1.879385242 = ?

To the nearest hundredth

1.88 = ?

You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a good estimation of the change you will get back?

Answers

Answer:No change

Step-by-step explanation:

3*17=51 + 5*12=60

So 51+60=111. So in reality you would still need to pay $1.

Answer:

you still owe 1 dollar to the store

plslslslsl help ASAPPPP 10 points and you win brainlist

Answers

Answer:

71

Step-by-step explanation:

Take the cost of the item and multiply by the commission percent

800 * 8.875%

Change to decimal form

800*.08875

71

Answer:

71

Step-by-step explanation:

Simon earns 8.875 for a commission. yet for him to sold a rowboat that cost $800.

800*8.875

=$71

Can someone help me with this?
will mark as brainliest.



What angle corresponds to ∠M?



Answers

Answer: Angle B

Step-by-step explanation:

Since the two shapes are similar. The angles stay with the shape. This means that angle M should correspond to angle B.

Answer: angle b .

Step-by-step explanation:

Three less than twice a number is seventeen. What is the number?

Answers

The answer is 20 I believe

The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temperature during this time?

Answers

Answer:

3.5°/hour

Step-by-step explanation:

Rate of change of temperature=change in temperature/Change in time

Change in temperature

=82° - 54°

=28°

Change in time=3:00pm - 7:00am

=8:00 hours

Rate of change of temperature=28°/8 hours

=3.5°/hour

Answer:

The rate of temperature change is 3.5 degree celcius per hour

Step-by-step explanation:

Here, we want to calculate the rate of change of temperature

Firstly, we calculate the number of hours it took the temperature to change

that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours

now let’s calculate the temperature rise = 82-54 = 28

The rate of temperature change is thus = change in temperature/ number of hours taken

= 28/8 = 3.5 degree celcius per hour

Kelsi has 48 books 2/6 of those books are fantasy and sci-fi .3/8 of those books are sci-fi . How many of kelsi’s books are sCI-fi

Answers

Answer:

We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]\frac{2}{6} \times 48[/tex]

[tex]16[/tex]

[tex]16 \times \frac{3}{8}[/tex]

[tex]\frac{48}{8}[/tex]

[tex]=6[/tex]

WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x + 4 y = 2 x + 4 y = negative 2 x minus 4 y = 2 x minus 4

Answers

Answer:

y=-2x+4

Step-by-step explanation:

6x+3y=12

3y=-6x+12

y=-2x+4

Answer:

The correct answer is y A.) = -2x + 4

Step-by-step explanation:

i just did the test on edge 2020 and got it right

A mechanic cuts 14 pieces of copper
tubing from a coil. Each piece is 3 1/2
inches long. What is the total length
used?

Answers

Answer:

49

Step-by-step explanation:

14*3.5

Because 49/3.5 = 49

Thats how I got it

Hope it helps

Given ΔADC and ΔAEB, What is AE?

Answers

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the [tex]\triangle ADC \text { and }\triangle AEB :[/tex]

1. [tex]\angle B = \angle C = 90^\circ[/tex]

2. [tex]\angle A[/tex] is common to both the triangles.

3. Two angles are common, so the third angle [tex]\angle E[/tex] is also equal to [tex]\angle D[/tex].

All the three angles in the [tex]\triangle ADC \text { and }\triangle AEB[/tex] are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = [tex]x[/tex] units

Side AD = AE + ED

So, AD = [tex]x + 72[/tex]

Using the ratio:

[tex]\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units[/tex]

So, AE = 43.2 units

a : 27=6:18, find a​

Answers

Answer: 9

Step-by-step explanation:

The reason for this answer, is because when you decide 18 by 6 it gives you 3. Which means that when you devide 27 by 3 it will give you your answer. 9. You can make sure it’s correct when you do the math. 27/9=3. 18/6=3.

This way, your answers are equivalent to each other.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

(Even a brainliest if you want ;D)

Answer:

a=9

Step-by-step explanation:cross multiply

20 POINTS !! PLEASE ANSWER THIS MATH QUESTION !!

Answers

Answer:

7.8

Step-by-step explanation:

Sine 50=6/x

x= 6/Sine 50

x=7.8

Answer:

h ≈ 7.8 cm

Step-by-step explanation:

Use sines to determine the length of the hypotenuse. You know that there is a 50 degree angle, and that the ratio for sine is opposite/hypotenuse. You know that the opposite side from that angle is 6 cm, so you can set up the following equation:

sin50 = 6/h

sin50h = 6

h ≈ 7.8 cm

Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries. If he keeps to the same ratio, how many raspberries will Tobias use?

Answers

Answer:

54.

Step-by-step explanation:

8/6 = 72/ x where x is the number of raspberries.

8x = 6*72

8x = 432

x = 54.

without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3

Answers

the value i got was 3024

Answer:

(16)^3 = (7 + 9)^3 = 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7

=>(16)^3 + (-7)^3 + (-9)^3 = (-7)^3 + (-9)^3 + 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    =  [(-7)^3 + 7^3] + [9^3 + (-9)^3] + 3 x 7^2 x 9 + 3x9^2x7

                                    =  0 + 0 + 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    = 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    = 3 x 9 x 7 x (7 + 9)

                                    = 3 x 7 x 9 x 16

                                    = 3 x 7 x 9 x 8 x 2

                                    = 6 x 7 x 8 x 9

                                    = 3024

Hope this helps!

:)

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