One box has 16 apples. Another box has 24 lemons. Each apple weighs twice as much as each lemon. If A is the weight of the box of apples
and B is the weight of the box of lemons, what is?

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Work Shown:

Here are the variables we're working with

In this case, we know that

We can use this formula to help find the answer

S = (n/2)*(a+b)

This formula only works for arithmetic sequences

So,

S = (n/2)*(a+b)

42 = (14/2)*(a+(-12))

42 = 7(a-12)

42/7 = a-12

6 = a-12

6+12 = a

18 = a

a = 18 is the first term of this arithmetic sequence

That's why the answer is choice D.

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Side note: your book or your teacher may use the notation [tex]S_n = \frac{n}{2}(a_1+a_n)[/tex] but I figured it would be easier to use 'a' and b in place of [tex]a_1[/tex] and [tex]a_n[/tex] respectively.

The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.

The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.

The data set is;

1,6,8,8,8

Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.

If the outlier is removed mean, range, and median will changes.

Hence options A, B and C are correct.

To learn more about mean refer:

https://brainly.com/question/13451489

#SPJ2

Answer:  -157,464

Step-by-step explanation:

an=a^1*r^n-1

a10=8*-3^10-1

a10=8*-3^9

a10=8*-19683

a10=-157464

Answer:

a10 = -157,464

Step-by-step explanation:

a1 = 8

a2 = -24

r = a2/a1 = -3

an = a1 × r^(n - 1)

a10 = a1 × (-3)^(10 - 1)

a10 = 8 × (-3)^(9)

a10 = -157,464

Answer:

It depends on the equation.

If the bases are equal and the variables are only in the exponents, set the exponents equal.

If there are variables in the exponents, but you cannot set the bases equal, then use logarithms.

Example 1:

[tex] 4^{2x + 5} = 4^9 [/tex]

Here you have the same base on both sides. The variables are in the exponents. Set the exponents equal and solve for x.

2x + 5 = 9

2x = 4

x = 2

Example 2:

[tex] 3^{2x} = 9^{6} [/tex]

The bases are different, but you can make the bases equal using laws of exponents. Remember that 9 = 3^2.

[tex] 3^{2x} = (3^2)^{6} [/tex]

[tex] 3^{2x} = 3^{12} [/tex]

Now you have equal bases, so the exponents must be equal.

2x = 12

x = 6

Example 3:

[tex] 10^{x + 2} = 9 [/tex]

Here you can't make the bases equal, so you take the log of both sides and use laws of logs.

[tex] \log(10^{x + 2}) = \log 3^2 [/tex]

[tex] (x + 2) \log 10 = 2 \log 3 [/tex]

Recall that: [tex] \log 10 = 1 [/tex]

[tex] x + 2 = 2 \log 3 [/tex]

[tex] x = 2 \log 3 - 2 [/tex]

Answer:

9.04

Step-by-step explanation:

tan 37 = x/12

0.7536 x 12= x

x = 9.04

Answer:

the answer is B & F

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

Answer:

6x + 27y = -6

Step-by-step explanation:

i looked it up sooo sorry if its wrong lol

Answer:

Great Britain we’re colonizers

Step-by-step explanation:

Answer:

C) 0.08

Step-by-step explanation:

Answer:

No solution exists

Step-by-step explanation:

x - 1 < 2x + 2 < 2x + 1

examine the center and right terms

2x + 2 < 2x + 1

Subtract 2x from both sides

2 < 1      

This is False. Therefor

No solution exists

Answer:

y = -4x + 3

Step-by-step explanation:

You just have to solve for y.

So you get only the y value on one side, so the equation would then be

4y = -16x + 12, then you have to solve for y, so you divide both sides of the equation by 4 and you are left with y = -4x + 3

Answer:

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Step-by-step explanation:

Given:

Total number of sections filled = 3¹/₂ = 7 / 2 sections

Number of fraction parents watching play = 3/5

Find:

Fraction[Total number of sections filled filled with parents]

Computation:

Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play

Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]

Fraction[Total number of sections filled filled with parents] = 21 / 10 sections

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Answer:B) x = 7 sin 65°

Step-by-step explanation:

Sine = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex]

So 7 × [tex]\frac{x}{7}[/tex] = x

Answer:

12.5 pi or 39.26990

Step-by-step explanation:

First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:

[tex]\frac{\pi r^2}{2}[/tex]

We can substitute what we have:

[tex]\frac{25\pi }{2}[/tex]

This gives us:

12.5 pi or 39.26990(Not sure what format you need it in)

Answer:

C

Step-by-step explanation:

Answer:

New price =$6.60

Step-by-step explanation:

[tex]deduction \ percent = 45\% \\\\dedecution \ price = \frac{45}{100} \times12 = \$5.40\\\\\ Therefore , cost \ of \ toy \after \ deduction = 12 - 5 .40= \$ 6.60[/tex]

Hello there I hope you are having an great day :) A toy has an original price of $12. Find the new price after 45% decrease,

Find the original price - $12

Get the the discount percentage - 45%

Calculate the savings: 45% of $12 = 3.73

Subtract the savings from the original price to get the sale price: $12 - $3.73 = £8.27

Original Price = Sale Price / ( 1 - Percent Off / 100 ) = 21.8182 that would b the answer :)

Answer:

Remember that if we have a proposition P, ¬P is the negation of that proposition.

We have:

W = car is white

¬W = car is not white

N = car is new

¬N = car is not new

M = the car is mine

¬M = the car is not mine.

Now, whit that defined, let's analyze the statements:

a: " If the car is not white and new, then it is mine."

We can write this as:

"Not W and N, then M"

using only symbols this is:

(¬W ∧ N) ⇒ M

where the symbol ∧ means "and"

and the symbol ⇒ means "then"

b " The car being white or new is a sufficient condition for it being not mine."

We can rewrite this in a simpler way:

"if the car is white or new, then is not mine"

We can write this as:

W or N, then, not M

using the symbols, we get:

(W ∨ N) ⇒ ¬M

Where the symbol ∨ means "or"

c " The car is mine if and only if it is new and not white."

This can be rewritten as:

"M if and only if N and not W"

Using only symbols, we get:

M ⇔ (N ∧ ¬W)

Where "⇔" means "if and only if"

Answer: 0.1595

Step-by-step explanation:

Poisson Distribution Formula

[tex]$$P(\mathrm{X}=x)=\dfrac{\lambda^{x} e^{-\lambda}}{x !}$$\\\text{ where }$x=0,1,2,3, \ldots$\\\\$\lambda=$ mean number of occurrences in the interval\\\\$e=$ Euler's constant $\approx 2.71828$[/tex]

Here, [tex]\lambda= 6.3[/tex]

x= 6

[tex]P(X=6)=\frac{6.3^6e^{-6.3}}{6!}[/tex]

[tex]\approx0.1595[/tex]

Hence, the probability of having exactly six (6) errors on a page = 0.1595

Answer:

a. Use the regression equation

Step-by-step explanation:

Given

See attachment for missing part of question

Required

What can be used to predict diameter, given family income

We can see (by observation) that the data on the table can only be represented on a scattered plot, and scattered plot uses regression equation for data prediction.

i.e. [tex]y = mx + b[/tex] --- equation of line of best fit

In this case;

[tex]x \to income[/tex]

[tex]y \to diameter[/tex]

When the x value (income) is known, we can simply plug in the value in the above equation to get the y value (diameter)

Answer:

11x -8y = -9

Step-by-step explanation:

8x-4y=-4

-3x+4y=5

Subtract the second equation from the first

8x-4y=-4

-(-3x+4y=5)

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

Distribute the minus sign

  8x-4y=-4

+(3x-4y=-5)

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

11x -8y = -9

Answer:

3

Step-by-step explanation:

1.35n is 4.05

4.05÷1.35 is 3

n is 3

Answer:

3 : 1

Step-by-step explanation:

4.05 : 1.35 can be written as [tex]\frac{4.05}{1.35}[/tex] in fraction.

To write 4.05 : 1.35 in "n : 1" ratio format , you need to make the denominator of the fraction as 1.

[tex]=> \frac{4.05 \div 1.35}{1.35 \div 1.35}[/tex]

[tex]=> \frac{3}{1}[/tex]

[tex]=> \boxed{3 : 1}[/tex]

Answer:

-53

Step-by-step explanation:

You start off with the g of x equation

then you substitute -5 for the x value

after you solve that, you should get g of  x = 23

then you take the f of x equation and plug 23 in for x

then you simplify that and you should end up with an answer of -53

Step-by-step explanation:

i just need points so i can ask my questions

Answer:

Its the rectangle

Step-by-step explanation:

Answer: im sorry but there is nothing here to help? may you add a picture? or something file maybe?

Step-by-step explanation:

Answer: 110 feet per second

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

[tex]S1=\frac{45*5280}{3600}=66[/tex]

[tex]S2=\frac{60*5280}{3600}=88[/tex]

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]

[tex]h=\sqrt{12100}=110[/tex]

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:

[tex]H= \sqrt{12100}=110[/tex]

In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.

[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]

So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:

[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]

See more about distance at brainly.com/question/989117

Answer:

Quantity of juice = 300 milliliters

Step-by-step explanation:

Given the following data;

Total quantity of juice = 3 liters

Number of students = 10 students

To find the quantity of orange juice each student can get;

First of all, we would have to convert the total quantity (volume) of juice into a unit that's divisible by 10 i.e liters to milliliters.

Conversion:

1 liter = 1000 milliliters

3 liters = 3 * 1000 = 3000 milliliters

Next, we determine the quantity each student get;

Quantity of juice = 3000/10

Quantity of juice = 300 milliliters

Answer:

g(x)= ((x+4)^2) -2

Step-by-step explanation:

...............

Answer:

Step-by-step explanation:

function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

Answer:

#1 I believe the answer is 4 and for 2 I believe the answers are 3&4

Answer:

14 questions correct

Step-by-step explanation:

x/20 *100 = 70

so x/ 20 = 70/100(0.7)

x/20 = 0.7

x = 0.7*20

x =14