The sum of two non-zero numbers a and b equals the sum of their reciprocals. If a+b≠0, what is the product of the two numbers?

Answer:

x plus y

Step-by-step explanation:

self explainatory

Answer:

D) n<5

Step-by-step explanation:

Answer:

y = 5

Step-by-step explanation:

Answer:

Y=3

Step-by-step explanation:

You would want to multiply y and 4 by 3.

5y+6=3(y+4)

×3 ×3

5y+6=3y+12

Now you want to have y by itself. You can first subtract 6 for starters.

5y+6=3y+12

-6 -6

5y=3y+6

5y=3y+6

-3y -3y

2y=6

Now you would want to divide.

2y=6

÷2 ÷2

y=3

You're answer would be y=3.

Answer:

Option 2: 1 teaspoon of baking soda per 1 cup of flour

Option 3: ½ teaspoon of salt per 1 teaspoon of baking soda

Step-by-step explanation:

The recipe has 3 ingredients mixed in the following ratio =>

½ of a cup of flour : ½ of a teaspoon of baking soda : ¼ of teaspoon of salt

Let's analyse each given options to see which rate is correct or not using the above ratio that makes a recipe:

Option 1 => 2 teaspoon of salt : 1 teaspoon of baking soda.

¼ salt : ½ baking soda

2 salt : x baking soda

Thus, ¼ / ½ = ²/x

Cross multiply

¼*x = ½*2

x/4 = 1

x = 4

Therefore, 2 teaspoon of salt will need 4 teaspoon of baking soda not 1.

Option 2 => 1 teaspoon of baking soda : 1 cup of floor.

½ baking soda : ½ flour

1 baking soda : x flour

Thus, ½ / ½ = ¹/x

Cross multiply

½*x = ½*1

x/2 = ½

Multiply both sides by 2

x = ½*2

x = 1

Therefore, 1 teaspoon of baking soda will need 1 cup of floor. This is correct.

Option 3 => ½ teaspoon of salt : 1 teaspoon of baking soda.

¼ salt : ½ baking soda

½ salt : x baking soda

Thus, ¼ / ½ = ½/x

Cross multiply

¼*x = ½*½

x/4 = ¼

Multiply both sides by 4

x = ¼*4

x = 1

Therefore, ½ teaspoon of salt will need 1 teaspoon of baking soda. This is correct.

Option 4 => 1 teaspoon of baking soda : 2 teaspoon of salt.

½ baking soda : ¼ salt

1 baking soda : x salt

Thus, ½ / ¼ = 1/x

Cross multiply

½*x = ¼*1

x/2 = ¼

Multiply both sides by2

x = ¼*2

x = ½

Therefore, 1 teaspoon of baking soda will need ½ teaspoon of salt not 2.

Option 5 => 2 teaspoon of salt : 1 cup of flour

¼ salt : ½ flour

2 salt : x flour

Thus, ¼ / ½ = ²/x

Cross multiply

¼*x = ½*2

x/4 = 1

x = 4

Therefore, 2 teaspoon of salt will need 4 cup of flour not 1.

The correct options are option 2 and option 3.

Answer:

The mixed number 9 1/2 is equivalent to the improper fraction 19/2.

Step-by-step explanation:

Pls make me brainliest

Answer: 39/2

Step-by-step explanation:

Multiply 19 by 2

19x2=38

add the 1 from the 1/2

1+38=39

39/2 is your answer

Answer:

f(x) = x³ +4x²+10

f'(x) = 3x²+8x

the critical point is that x value that has zero to be the first derivative function

3x²+8x = 0

when we factorize

x(3x+8) = 0

x = 0

3x+8 = 0

3x = -8

x = -8/3

at critical point when f"(x)>0, that is our minima

when f"<0 that is the maxima

f'(x) = 3x²+8x

f''(x) = 6x + 8

f"(0) = 8>0

the point x = 0 is minima point

f"(x) = -8/3 = -8<0 is Maxima

x coordinate of maxima = -8/3

Answer:

5x-y +42=0

Step-by-step explanation:

Using m=Y2- Y1

X2- X1

the slope of the line is found .

Put your answer in Y - Y1 = m( X - X1)

to get the equation

Answer:

b

Step-by-step explanation:

Answer:

The answer to this would be 2^35-1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

one tablespoon is three teaspoons

do the multiplication and boom

Answer:

D. 10

Step-by-step explanation:

1 tablespoon = 3 teaspoons

Answer:

What I do not understand what you are asking, can you repeat it pls.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

good luck :)

Answer:

Yes

Step-by-step explanation:

Starting with 2, the step to the next number is 6.  Each step increases by 3.

When you are on 8, the next step is an increase of 9.  The next step is an increase of 12,  The next step not shown would increase by 15 for give you 44.

So the first step would be 3 below the number 6 which would be subtracted from 2 to give you - 1 as your first starting point.

The common difference is 3(n) where n is an integer starting with 0 and incrementing by 1 with each new Y2 and Y1 is  -1.

The equation Y2 = 3(n+1) + Y1    where n=0

Given:

Point A is located at [tex]-\dfrac{6}{8}[/tex].

Point B is located at [tex]-\dfrac{1}{8}[/tex].

To find:

The distance between points A and B.

Solution:

We know that,

Distance between points A and B = Location of A - Location of B

Using this given values, we get

Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]

                                                        [tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]

                                                        [tex]=\dfrac{-6+1}{8}[/tex]

                                                        [tex]=-\dfrac{5}{8}[/tex]

Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].

[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]

The distance between A and B is [tex]\dfrac{5}{8}[/tex].

Therefore, the correct option is D.

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

= 0.31216134411

Approximately = 0.312

0.343 + 0.03083865589

= 0.37383865589

Approximately to = 0.374

Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)

Hi!

If its running low and every six hours it slows down half an hour, we need to divide 6  from 1/2 (or in another form if you have a regular calculator, 0.5).

6 divided by 1/2 is 12 (or , in decimal form).

So your answer would be: It will slow down 12 minutes every hour.

Hope this helps!

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of total distance travelled to total time taken to cover distance.

The radius of the orbit = radius of earth + height of satellite from earth = 4000 miles + 200 miles = 4200 miles

The total distance around the orbit = perimeter of orbit = 2π(radius of orbit) = 2π(4200) = 8400π miles

[tex]Speed=\frac{distance \ traveled}{time\ taken} =\frac{8400\pi\ miles}{6\ hours} =1400\pi\ miles/hour\\\\Distance \ traveled\ in \ 1\ hour=1400\pi\ miles/hour*1\ hour=1400\pi\ miles=4398.23\ miles\\\\Distance=4398\ miles[/tex]

Answer:

-24

Step-by-step explanation:

If you are struggling with this here's a tip!

-18+-6 is what you are trying to solve

The 6 is negative, so get rid of the plus sign -18-6

2 negative numbers are just added like positive numbers

So add 18 and 6, you should get 24

Don't forget about the negative!

-24

Answer:

(B) 54°

the angle you're searching is equal to the angel above 126° ( corresponding angle)

180° - 126° = 54°

Answer:

B

Step-by-step explanation:

Subtract 126 from 180 which gives 54

Answer:

828 cubic units

Step-by-step explanation:

Answer:

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

Step-by-step explanation:

The question says you get 7 points per quiz out of 3 quizzes.

7+7+7 = 21

Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.

Remember;

None of these scores are to be higher than 10. We need to add up scores below 10.

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

All of these gives 7 as average.

Answer:

D. 4/(2/5)

Step-by-step explanation:

For example, if the wood was 8ft long, and was cut into 4 foot long segments, you would divide 8 by 4 to get 2, which is the logical answer. Use the same thinking here. In other words, divide the large piece into smaller pieces.

For this one, divide 4 (large) by 2/5 (small).

If simplification is needed you can make 10 pieces.

Answer:

The equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is

8t + 86 = 126 OR 8t = 40

Step-by-step explanation:

From the question,

In the smaller section of the banquet hall, there are 9 tables with 6 chairs each.

This means there are 9 × 6 chairs there

9 × 6 = 54

Hence, there are 54 chairs in the smaller section of the banquet hall.

Also, from the question,

In the larger section of the banquet hall, there are currently 4 tables with 8 chairs each.

This means there are 4 × 8 chairs there presently

4 × 8 = 32

Hence, there are currently 32 chairs in the larger section of banquet hall.

From the question,

More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall.

If t more tables are to be added,

This means that t × 8 (8t) chairs will be added to the larger section so that there will be 126 total chairs in the banquet hall.

The total chair in the banquet hall will be = Total number of chairs in the smaller section + Current number of chairs in the larger section + Number of chairs to be added to the larger section

Therefore,

126 = 54 + 32 + 8t

126 = 86 + 8t

Then,

8t + 86 = 126

8t = 126 - 86

8t = 40

This equation can be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section.

Hence, the equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is

8t + 86 = 126 OR 8t = 40.

If desired,

8t = 40

t = 40/8

t = 5

Hence, 5 more tables are needed in the larger section.

Answer with step-by-step explanation:

The distance between Rockville and San Jose is 2407.2. Since there are 63360 inches in a mile, we divide it by 2, which is 31680. We multiply 2407.2 by 31680, and get 76260096.

Answer:

15150 is the required sum.

Step-by-step explanation:

Gauss method of summing sequences like this is to add the first term to the last term, the second term to the second to the last term and so on until you get to the middle. By doing this, you will always get the same sum. Then you divide the number of terms by two, because you are technically adding the first half of the sequence to the second half. You then multiply the sum of each pair that gave the same number with the number of terms that has been divided by 2. For this problem we have:

3 + 300 = 303

6 + 297 = 303

9 + 294 = 303

and so on.

100÷ 2 = 50.

Therefore we have 50 * 303 = 15150 is the required sum.

Answer:

2 - 5i

Step-by-step explanation:

For any complex number like say "z" written in rectangular form as;

z = a + ib, then from definitions the complex conjugate is given by the relation:

z* = a − ib

Now, from our question, we want to find the complex conjugate of 2 + 5i.

From the relationship above, it's clear that the complex conjugate here is;

2 - 5i

Answer:

Step-by-step explanation:

k=3

Answer:

It's 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation: