Given a+b=7; a-b=3, find the following, 3^a divided by 3^b

Answers

Answer 1

Answer:

27

Step-by-step explanation:

a+b=7; a-b=3

Add the two equations together

a+b=7

a-b=3

----------------

2a + 0b = 10

2a = 10

Divide by 2

2a/2 = 10/2

a = 5

a+b = 7

5+b = 7

b = 7-5

b = 2

3^a / 3^b = 3^(a-b) = 3^(5-2) = 3^3 = 27


Related Questions

what is the difference in the length between the longest meter in the shortest meter​

Answers

Answer:

1 5/8 inches

Step-by-step explanation:

Hey there!

The question is asking what the difference in the length between the longest meteor and the shortest meteor is.

In the chart, the smallest measurment is 2/8 and the largest is 1 7/8
So in order to solve this you need to subtract these two values

we can convert 1 7/8 to 15/8 to make the subtraction more simple

15/8-2/8=13/8 which is 1 5/8

So the difference between the longest and shortest meteor is 1 5/8 inch

Answer: 1 5/8.

Step-by-step explanation: The longest one is 1 7/8 and the shortest one is 2/8.  Both are circled below. To figure this problem out, we need to find the difference of the longest and shortest meteors, also known as a subtraction problem.  The work is done below:

1 7/8 - 2/8 = 1 5/8.

Hope this helps! :)

Help please an explanation would be appreciated!!

An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 21.6-foot wall that has been built is 6 inches long on the blueprint. What is the scale for this blueprint?

A. 1 in. : 3.6 ft.
B. 1 in. : 6.3 ft.
C. 1 in. : 36 ft.
D. 1 in. : 63 ft.

Answers

Answer:

The answer is - A. 1 in. : 3.6 ft.

Step-by-step explanation:

In order to get the scale on the blueprint we just have to divide the measure in real time by the number of the blueprint, if we know that there´s a wall that is 21.6 feet long, and in the blue print is 6 inches long we just divide it:

scale: 21.6/6

scale: 3.6

So, now we know that for every inch in the blueprint there has to be 3.6 feet on the real construction.

(I hope I helped you)

A department store buys 300 shirts at a cost of ​$8,100 and sells them at a selling price of ​$30 each. Find the percent markup.

Answers

Answer:

11.11%

Step-by-step explanation:

C.P = $8,100

S.P =$30 ×300

=$9,000

Markup = $9000-$8100

=$900

% markup = 900/8100 × 100

=11.11%

1000 POINTS!!!!!! PLEASE HELP WILL MARK BRAINLIEST!!!!!!!!!

Solve for x using the law of Cosines!
SHOW UR WORK!!!!!

Answers

Answer:
Draw a height to get two right triangles and use cosine=opposite/hypotenus in each to get x
x=18.441


Draw the graph of the equation x+5y=6

Answers

Answer:

Step-by-step explanation:

8. What is m<1
77
1
56
A 103°
| C 133°
C °
D 124°
B 47°

Answers

Answer:

Option C

Step-by-step explanation:

Exteriore angle property: Exterior angle equals the sum of opposite interior angles.

∠I = 77° + 56°

    = 133°

Mayerlin has a mask collection of 400 masks. She keeps some in a display case and the rest on the wall. She keeps 24% of her masks in the display case. How many masks does she keep on her wall?

Answers

The number of masks that Mayerlin kept on her wall given the information in the question is 304.

What are percentages?

Percentage is the fraction  of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.

How many masks are on the wall?

Percentage of the masks on the wall = 100 - 24 = 76%

Number of the masks on the wall = 76% x 400 = 304

To learn more about percentages, please check: https://brainly.com/question/25764815

please help me......asap

Answers

Answer:

Survey all families from a smaller town.

Step-by-step explanation:

It would be more easier to survey families in a small town

Say thanks! I just did this because I have 1,633 points (Now 1,533 I think) SOOO first comes first served

Answers

well it’s 50 points (brainly divides the amount of points by 2) so it should be 1,583 points
thanks for them regardless :)

Jack has $1,331 in an account that earns 5% interest compounded annually.
To the nearest cent, how much will he have in 3 years?

Answers

Answer:

$1540.80

Step-by-step explanation:

Answer: 1540.80

Step-by-step explanation: i got it right on my ixl

Please answer this it would be very helpful if you did.

Answers

Answer:

See below ↓↓↓

Step-by-step explanation:

Probability of getting heads

Outcome (head) = 1Total outcomes = 2P (head) = 1/2

Probability of getting an odd number

Outcome (odd) = {1, 3, 5} = 3Total outcomes = 6P (odd) = 3/6 = 1/2

The outcomes are equally likely because the probabiity of each outcome is the same.

A​ hot-air balloon is flying at an altitude of 2958 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 28​, how far is the house from the​ pilot?

Answers

Answer:

6300.70 feet

Step-by-step explanation:

Let the distance between pilot and house be d.

The three points form a right triangle, with height of 2958 ft and opposite angle 28 degrees.

Find d using trigonometry

sine = opposite / hypotenusesin 28° = 2958/dd = 2958/sin 28°d = 6300.70 feet
Perpendicular=P=2958Hypotenuse=H

Lets see

sinØ=P/Hsin28=2958/HH=2958/sin28H=6300.7ft

A son is one half as old as his father. The some other ages is 72 years. What is the age of each?

Answers

Answer:

The son is 24 and the father is 48

Step-by-step explanation:

If you let x = the age of the child, then the father is 2x old since the father is twice as old as the son. The sum of their ages would be 1x + 2x which simplifies to 3x.

Since the problem gives the total of their ages as 72, we know that 3x = 72.

Dividing both sides by 3, we get x = 24, which we said was the age of the child.

Since the age of the father is 2x, we can say that 2x = 2(24), or 2x = 48 for the age of the father.

2. Which exponential function matches the
values in the table below?
х
3
4
5
4,096
32,768
| f(x) 512
A f(x) = x8
B f(x) = 8*
C f(x) = 64(2)*
D f(x) = 8x

Answers

Answer:

B. f(x) = 8*

Step-by-step explanation:

putting the value given in table

=> 512 = 8³

=> 512 = 512

=> 5,096 = 8

=> 5,096 = 5,096

=> 32,768 = 8

=> 32,768 = 32,768

so, it's B f(x) = 8*

Answer:

The answer is B) f(x)=8^x

A square has side lengths of 1 meter. What is the area of the square?

Answers

Answer:

4 meters

Step-by-step explanation:

A square has four sides, therefore four times one is 4.

Can you guys help me do today.

Answers

Answer:

Down Below

Step-by-step explanation:

b=0.5

g=0.8

1.      3b + 5g = ?

       3×0.5+5×0.8=?

        1.5+4= 5.5 cm

2.      6(3b+5g) = ?

        18b + 30g
        18×0.5+30×0.8

        9+24= 33 cm

3.          2b + 3g

           2×0.5+3×0.8
           1+2.4=3.4 cm

4.   7(2b+3g)
     14b + 21g
     14×0.5+21×0.8
     7+16.8= 23.8 cm

5.     Add number 2 and 4 together
       14b+21g+18b+30g= 32b+ 51g

Take numbers and add them from problems 2 and 4
     23.8+33=56.8 cm

Can someone please help me I will give y’all brainiest or whatever please

Answers

Answer:

c

Step-by-step explanation:

1 translates to 2 because it moves up and over

and 2 is a reflection of 3 because its a mirror image

Thomas is rolling a fair six-sided number cube numbered from 1 to 6. The situation with a probability closest or equal to 0 is rolling a number

greater than 5
greater than 1
less than 9
less than 4


For a class activity, each student randomly chooses a number from 1 to 10. Which model shows the probability of choosing a multiple of 4?

2/8
2/10
8/2
10/2


Sonya is thinking of conducting a survey with her seventh-grade classmates. She knows she will need to use a sample of students in her survey. Which of the following surveys would not be valid with a sample of seventh-grade classmates?

theme for the seventh-grade Fun Night
bank that offer the most services
milk choices offered at lunch
best backpack for school


A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are replaced.

7/10
7/100
12/90
12/100


Find the probability of spinning the following. P(not 7)

1/7
1/8
7/8
4/8

Answers

The answers to your questions are as follows :

The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5. The model which shows the probability of choosing a multiple of 4 is: ( B )  [tex]\frac{2}{10}[/tex] (2/10)The only survey that would not be valid with a sample of seventh-grade classmates is : ( B ) Bank that offer the most services.The probability of choosing a red marble, then a white marble if the marbles are replaced is : ( A ) 7/10.The probability of spinning the following. P(not 7) = 7/8

Meaning of Probability

Probability is a branch of mathematics that deals with the degree of occurrence of an event.

1) The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5.

Because: there is only one number greater than 5 in that list (which is 6)

2) The model which shows the probability of choosing a multiple of 4 is: ( B )  [tex]\frac{2}{10}[/tex] (2/10)

Because: there are only two multiples of 4 that can be picked from number 1-10

3) The only survey that would not be valid with a sample of seventh-grade classmates is :  Bank that offer the most services.

Because: they are not working and might have little or no idea about banking services.

4) The probability of choosing a red marble, then a white marble if the marbles are replaced is : 7/10.

where the probability of picking a red marble is =  [tex]\frac{3}{10}[/tex]

The probability of picking a white marble is = [tex]\frac{4}{10}[/tex]

since the marbles were replaced : [tex]\frac{3}{10}[/tex] + [tex]\frac{4}{10}[/tex] = [tex]\frac{7}{10}[/tex]

5) The probability of spinning the following. P(not 7) = 7/8

The probablity of picking a 7 is = [tex]\frac{1}{8}[/tex]

The probability of not is = 1 - probability of picking 7

1 - [tex]\frac{1}{8}[/tex] = [tex]\frac{7}{8}[/tex]

In conclusion, go the answers related to your questionare  provided above for each question.

Learn more about probability : https://brainly.com/question/24756209

#SPJ1

Pls explain thoroughly

Answers

In a box and whiskers plot, the data is split into 4 quadrants. Each quadrant is 25% of the data. 90-150 is the leftmost whisker and the left side of the box. 25% +25% is 50%
Answer: 50%

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for a.
A sphere has a radius of 3.5 feet.
The volume of the sphere is about
ft?

Answers

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

-------------------------------------------------------------------------------------------------------------

Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

9) The diameter of a circular ice skating rink is 32 feet. What is the approximate area of the ice skating rink? Use a = 3.14. a) 803.84 square feet b) 50.24 square feet c) 100.48 square feet d) 64 square feet​

Answers

Answer:

a) 803.84 square feet

Step-by-step explanation:

[tex]\sf{area~of~circle~=~\pi r^{2} }\\\sf{radius~ =~half~of~diameter}[/tex]

so 32 / 2 = 16 = radius

[tex]\sf{radius^{2} = 16^{2}=256}[/tex]

256 x 3.14 (because we are taking π as 3.14)

= 803.84

Hope this helps! If you need any further explanation, let me know!

- profparis

50% is the same as what decimal?

Answers

Answer:

0.5

Step-by-step explanation:

To convert a percentage into a decimal you divide by 100 :

50% ÷ 100 = 0.5

Hope this helped and brainliest please

Answer: 0.5

Step-by-step explanation: 50/100

Refer to the figure below. What are the answers for the four blanks?

Answers

Answer:

see explanation

Step-by-step explanation:

the figure is an isosceles trapezium

The legs are congruent , that is

BC = AD = 15 units

The upper base angles are congruent , so

∠ B = ∠ A = 145°

Any lower base angle is supplementary to any upper base angle, that is

∠ C + ∠ B = 180°

∠ C + 145° = 180° ( subtract 145° from both sides )

∠ C = 35°

The lower base angles are congruent , so

∠ D = ∠ C = 35°

Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for π. Round to the nearest hundredth if necessary.


A) 452.16 cm2
B) 37.68 cm2
C) 113.04 cm2
D) 18.84 cm2

Answers

Answer:

C) 113.04

Step-by-step explanation:

A=πr2

A=3.14 · 6 ≈ 113

Identify the z* critical value for constructing a confidence interval for one proportion using these confidence levels. You can reference the t distribution table to answer this question.

Enter each answer to 3 decimal places.

90% confidence:

95% confidence:

99% confidence:

Answers

The 90% confidence, 95% confidence and 99% confidence have a z critical value of 1.65, 1.96 and 2.58 respectively.

What is z score?

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

From the normal distribution table:

The z critical value for 90% confidence, 95% confidence and 99% confidence is 1.65, 1.96 and 2.58 respectively.

Find out more on z score at: https://brainly.com/question/25638875

Answer:

90% confidence:

1.645

95% confidence:

1.960

99% confidence:

2.576

Step-by-step explanation:

EDGE2022

The length of a rectangle is 4/5 of the width. The length of the rectangle is 3/5 meter. Which equation can be used to find w, the width of the rectangle in meters?
A 3/5w = 4/5
B 4/5w = 3/5
C 3/5 + w = 4/5
D 4/5 + w = 3/5

Answers

Answer:

B: 4/5w = 3/5

Step-by-step explanation:

The length of the rectangle is stated as being 4/5 of the w. (4/5 * w)

The length is also stated specifically as being 3/5m so that will equal 4/5w on the other side of the equation.

Bonus:

You could work out the equation as

4/5w = 3/5m

multiply by 5

4w = 3m

divide by 4

w = 0.75m (or 3/4m)

Most cereal boxes are about 12 inches tall, 8 inches wide, and 2 inches deep. 1. Calculate the volume and surface area of a standard cereal box. Be sure to write down the formulas used and show all work 2. Calculate the cost of manufacturing a standard cereal box if cardboard cost $0.05 per square inch. show all work

Answers

Answer:

Volume: 192 cubic inches

Surface area: 272 square inches

Manufacturing cost: $13.60

ONE VARIABLE INEQUALITIES WORD PROBLEM ••Ben is twice his brother's age. If the sum of
their ages is below 81, how old could Ben's brother
be

Answers

Answer:

27

Step-by-step explanation:

Let brother's age = x

Ben age = 2x

2x+x =81

3x =81

x =27

Ben's brother's = 27

Please help me with this please and thank you

Answers

Answer:

  f(x) = 2(1/3)^x

Step-by-step explanation:

To find the parameters of this exponential equation, follow the instructions given in the hint.

__

  b = 6/18 = 1/3 . . . . . divide 6 by 18 to find 'b'

  18 = a(1/3)^-2 . . . . . substitute a point and 'b' in the equation

  18(1/3)^2 = a = 2 . . . . multiply by (1/3)^2

The equation is ...

  f(x) = ab^x

  f(x) = 2(1/3)^x

 

-(x+4)+3x=1=2x+5 distributive propert

Answers

Answer:

=5(9)+6+1. =45+7 =52

=52.move the x with the negative exponent into the denominator and change the sign. 1,3x'y+2xy-5y.solve when x = - 2;y = 3

Step-by-step explanation:

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