How many lemons does it take to make an orange?

Answer:

-5

Step-by-step explanation:

Answer:

−5

Step-by-step explanation:

Answer:

An explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Step-by-step explanation:

Given the sequence

[tex]-4, -8, -16, -32, ...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratios of all the adjacent terms

[tex]\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2[/tex]

As the ratio 'r' is the same.

so

[tex]r=2[/tex]

as

[tex]a_1=-4[/tex]

Hence, the nth term of the sequence will be:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

substituting the values [tex]r=2[/tex] and [tex]a_1=-4[/tex]

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Therefore, an explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative.

Answer:

First 4 terms are a, 3a, 3^2 a and 3^3 a.

The numbers are:

4, 12, 36, 108.

Step-by-step explanation:

This is a geometric sequence and we can write it as:

a, ar, ar^2, ar^3      <---- the first 4 terms.

Here the common ratio r = 3 and the 4th term is 108 so:

a(3)^3 = 108

So the first term a =  108 / 3^3

= 108/27

= 4.

So the second number = 3*4 = 12  and 3rd is 12*3 = 36.

Answer:

156 jackfruits

Step-by-step explanation:

Let there are 6x jackfruit in baseket P, 2x in basket Q and 5x in basket R.

The total number of jackfruit  in basket P is 48 more than the number of  jackfruit in basket Q. ATQ,

6x = 48 + 2x

Solving for x.

6x - 2x = 48

4x = 48

x = 12

Jackfruits in basket P = 6x = 6(12) = 72

Jackfruits in basket Q = 2x = 2(12) = 24

Jackfruits in basket R = 5x = 5(12) = 60

Total no of jackfruits = 72 + 24 + 60

= 156

So, there are 156 jackfruits in the three baskets.

Answer:

12x plus 3x equals $32

Step-by-step explanation:

I just wrote an equation that best fits the problem

Answer:

y=2/7x+-9

Step-by-step explanation:

I need to go soon

Answer:

y=2/7x-9

Step-by-step explanation:

Goes to the right by 7 units, and goes up by two so 2/7. Line intercepts at -9.

Answer:

18.18%

Step-by-step explanation:

Selling price of one coker = Rs.2574

If she loose 10% on one;

%loss = Cost price - Selliing price/cost price * 100

10 =Cp-2574/Cp * 100

10/100 = Cp-2574/Cp

0.1Cp = Cp-2574

0.1Cp - Cp = -2574

-0.9Cp =  -2574

Cp = 2574/0.9

Cp = Rs. 2860

Amount lost = 2860-2574 = Rs. 286

If she gains 10% on the second

%loss =Sp-Cp/Cp * 100

10 = 2574-Cp /Cp * 100

10/100 = 2574-Cp /Cp

0.1Cp = 2574-Cp

1.1Cp = 2574

Cp = 2574/1.1

Cp = Rs. 2340

Amount gained = 2340-2574 = Rs. 234

Total Loss = Amount lost - Amount gained

Total loss = 286 - 234

Total loss = Rs. 52

Total loss % = 52/286 * 100

Total loss % = 5200/286

Total loss % = 18.18%

Answer:

I'm confused

Step-by-step explanation:

What am I suposed to do?

Answer:

k=-14

Step-by-step explanation:

9514 1404 393

Answer:

  7 square feet per student

Step-by-step explanation:

To find "A per B", divide the quantity of A by the quantity of B. It can help to keep the units with the numbers.

Here, you want area per student, so divide area by students:

  area per student = (357 ft²)/(51 students) = 7 ft²/student

The relationship is 7 square feet per student.

Answer:

Step-by-step explanation:

Let the cost of apples be x

Then we have equation:

Cost of apple: $2 per pound

Answer:

490lbs.

Step-by-step explanation:

Answer:

490 lbs

Step-by-step explanation:

times means multiplication, so 35 times means 14 rows of 35 (and vice versa).

14 x 35

490

(Check the attached file for a full count)

Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.

When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.

For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.

Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.

It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.

Learn more about inequalities here:

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Answer:

Our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Step-by-step explanation:

When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.

In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.

Therefore, we conclude that our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Answer:

10

Step-by-step explanation:

The X is 10

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-7, -4)

Point (2, -7)

Step 2: Find slope m

Answer:

Tommy Thomas's tankard holds 160ml when it is one-quarter full.

Step-by-step explanation:

When Tommy's tankard holds 480ml when it's one-quarter empty. There are three other quarters in the tankard. So, you would divide 480 by 3 to see how much is in each of the other 3 quarters. The answer comes down to 160ml per quarter, which equals one-quarter full.

Answer:

Step-by-step explanation:

just add

3.17

1.15

2.26

-------

 7. 48 lbs

im pretty sure

Answer:

y = 1/7x + -1/14

Step-by-step explanation:

2x−14y+−2x=1+−2x

−14y=−2x+1

−14y /−14  =  −2x+1 /−14

9514 1404 393

Answer:

  The sequence 18

Step-by-step explanation:

After Nolan brings down a zero, the dividend Nolan will be 20, the same one he started with. So, he will get the same result he has gotten so far: the first quotient digit is 1 and the second quotient digit is 8, resulting in a new dividend of 20 (after the 0 is brought down).

The digits 18 will repeat until Nolan gets tired.

Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

-54         -54

2x=46

x=23

Answer:

y = 2x-3

Step-by-step explanation:

Twice the age means 2x

three less means -3

2x -3 = y

y = 2x -3

Brainliest appreciated!

The quotient is 21. the correct answer is option 1) 21.

To find the quotient of 189 divided by 9, we divide 189 by 9.

When dividing 189 by 9, we find that 9 can be subtracted from 189 a total of 21 times without going into negative values. Therefore, the quotient is 21.

So, the correct answer is option 1) 21.

When we divide 189 by 9, the result is 21, which means that 21 is the number of times that 9 can be subtracted from 189 without remainder. The quotient represents the whole number part of the division, indicating the number of groups of 9 that can be formed from 189.

Learn more about quotient here

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Answer:

Displacement = 0 mi

Distance = 164,996.45 mi

Step-by-step explanation:

In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.

When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.

The perimeter of a circle is given by the equation:

[tex]p=2\pi r[/tex]

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

[tex]r=r_{earth}+h[/tex]

where h is the height of the satellite, so the radius of the circle is:

[tex]r=22,300mi + 3,960 mi[/tex]

so

r=26,260 mi

so now we can use the perimeter equation to get:

[tex]p=2\pi r[/tex]

[tex]p=2\pi (26,260)[/tex]

So the distance traveled by the satellite in one day will be:

P=164,996.45 mi.

Answer:

$232.75

Step-by-step explanation:

Because the tax takes 30% of his pay, he will be left with 70%.

Multiply his pay by 0.7 to get the answer:

332.50 * 0.7 = 232.75

Hope that helps! :D

Answer:

3n-6>5

3n>5+6

3n>11

n>11/3

n>3.6

Answer:

n < 1/3

Step-by-step explanation:

-3(n-2) > 5

-3n + 6 > 5

-3n > 5 - 6

-3n > -1

n > -1/-3 (flip the sign of the inequality because you divided by a negative number)

Hence, n < 1/3 OR n < 0.333

Answer:

The answer is the first one or 9.5

Step-by-step explanation:

This is because you need to use a^2+b^2=c^2

Plug in 9 and 3

To get 81+9

To get 90

Now find the square root of 90

It is around 9.48

Which is closest to 9.5

Answer:

The third answer choice

Step-by-step explanation:

-3(x+2) < 5x+10

-3x-6 < 5x+10

-3x-5x < 10+16

-8x < 16

x < -2