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Answer:

He would get 56 dollars.

Step-by-step explanation:

56$

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

[tex]\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1[/tex]

We take left hand side of the given equation and solve it,

[tex]\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}[/tex]

Since, abc = 1,

[tex]\frac{1}{c}=ab[/tex] and c = [tex]\frac{1}{ab}[/tex]

By substituting these values in the expression,

[tex]\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}[/tex]

                                       [tex]=\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}[/tex]

                                       [tex]=\frac{1+b+ab}{1+b+ab}[/tex]

                                       [tex]=1[/tex]

Which equal to the right hand side of the equation.

Hence, [tex]\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1[/tex]

Answer:

they are congruent because SAS

Step-by-step explanation:

Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective [tex]n^{th}[/tex] terms as following:

Sequence A. [tex]3n - 2[/tex]

Sequence B. [tex]10 - 2n[/tex]

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the [tex]n^{th}[/tex] terms of the respective sequences as equal and let us verify that.

[tex]3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}[/tex]

When we talk about [tex]n^{th}[/tex] terms, [tex]n[/tex] here is a whole number not a fractional number.

But as per the statement as stated by Sally [tex]n[/tex] is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

Answer:

x= 40 degrees

Step-by-step explanation:

The two angles inside must add up to 126, since the missing unknown angle is supplementary to 126 (where they add up to 180 degrees).

Thus

x + (2x+6) = 126

3x + 6 = 126

3x = 120

x = 40

please give thanks :)

Answer:

if you are asking 20% of 80, then its 16

Step-by-step explanation:

0.2 x 80 = 16

Answer:

25

Step-by-step explanation:

25

Percentage Calculator: 20 is what percent of 80? = 25.

Answer:

x= 2.4

Step-by-step explanation:

Answer:

2.4 or 12/5

Step-by-step explanation:

1.2/0.96=3/x

convert the decimal into a fraction---- 6/5 /0.96= 3/x

Simplify the complex fraction-----5/4 = 3/x

simplify the equation using cross-mulitpication----- 5 x = 12

divide both sides of the equation by 5--- x= 12/5

Check if the solution is in the defined range

Alternitive form:

x=2 2/5, x =2.4

Answer:

it's almost $100 and there's $17 off. so 99.99-17  would make the exact cost 82.99

82.99/99.99= 0.8299 so you payed 83% and that would make it so you got a 17% discount.

but if you didn't want to do all the math, you could've just rounded the 99.99 up to 100, and $17 would make it a 17% discount.

Answer: 1.18 OR 0.18

Step-by-step explanation:

Answer:

It would depend of what your bill is.

Step-by-step explanation:

Here is how to find the tip of a bill.

Move the decimal, then double the number.

Move the decimal point in your pretax bill one place to the left to get $5.375 from $53.75.

Round up to the next easy number: $5.40.

Double that number to get $10.80, which is 20% of your original bill.

Answer:

a = 132

b = 132

d = 29

e = 29

f = 151

g = 24

h = 24

Answer:

D

Step-by-step explanation:

I had this on my quiz and said it was right. Hope this helps!

Answer:

The values of x is -30 degrees and undefined

None of these values fall within the given range

Thus, no value within the given range is the solution to the equation

Step-by-step explanation:

Here, we want to find the value of x that works for the equation in the selected range

2cot^2x = -3csc x

Mathematically, from trigonometry;

cot^2x = csc^2x - 1

Substitute this above

2(csc^2x - 1)= -3csc x

let csc x = b

2(b^2-1) = -3b

2b^2 - 2 + 3b = 0

2b^2 + 3b - 2 = 0

2b^2 + 4b - b - 2 = 0

2b(b+ 2) - 1( b + 2) = 0

(2b-1)(b + 2) = 0

2b = 1

b = -2

b = 1/2 = 0.5

or b = -2

Recall;

csc x = b

x = csc^-1 b

x = csc^-1 0.5

x = undefined

Secondly;

b = -2

x = csc^-1 (-2)

x = -30 degrees

As we can see , between the points

0 ≤ x < 360

None of our answers fall in these range

Answer:

-14.4<or=z

Step-by-step explanation:

-8-6.4or = z+6.4-6.4

-14.4_<z

Answer:

Step-by-step explanation:

Let football cost be f and basketball cost be b

We have two equations as per given:

We need to find b, therefore we'll eliminate f

To do so we'll double the first equation and subtract the second one:

Each basketball costs $6.25

Question:

Coach purchased footballs and basketballs from two different stores.

Each football costs the same amount, and each basketball costs the same amount.

At the first store, the coach paid $110 for 5 footballs and 14 basketballs.

At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs.

What was the cost in dollars of Each basketball?

Answer:

Probably 7

REAL Answer:
6.25

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Answer:

Looks like at (3,21) the graph intersects, meaning both values are equal to one another.

Answer:

1411 females

Step-by-step explanation:

Given that:

Male population = 60%

Female population = 40%

36% of total population are under 18

Ratio of male to female under 18 = 2 : 1

Males under 18 = 1176

Females over 18 =?

The population of females under 18:

If males under 18 = 1176

Then female under 18 = 1176 / 2 = 588

Hence number of population under 18 = (1176 + 588) = 1764

1764 = 36% of the entire population

Hence, (100 - 36)% = 64% of the entire population are over 18

1764 = 0.36

x = 0.72

x = (0.72 * 1764) / 0.36

x = 3528

Hence, 40% of the population above 18 are female

0.4 * 3528 = 1411.2

= 1411 females are over 18

Answer:

X will be = to 6°

Cause the lengths is 6

so 6 ×6° = 36°

I hope am wrong

Answer: 1600

Step-by-step explanation:

If there is a total amount of 19200 pieces within 12 puzzle boxes, then we'll have to divide 19200 by 12.

19200 ÷ 12 = 1600.

In conclusion, 1600 pieces are in each puzzle box.

Hope this helps!

Answer:

1,600 pieces per puzzle

Step-by-step explanation:

19,200/12= 1,600

you divide because you have the total amount of puzzle pieces and you have the amount of puzzles so

Answer:

yeet

Step-by-step explanation:

yeet

Answer:

Step-by-step explanation:

The sum of angle in the triangle BCD is 180 degrees

Given;

<B = 4x  -14

<C = x - 1

<D = 6x + 8

Required

Find x

Since <B + <C + <D = 180, hence;

4x - 14 + x - 1 + 6x + 8 = 180

11x -7 = 180

11x = 180+7

11x = 187

x = 187/11

x = 17

Hence the value of x is 17

Step-by-step explanation:

y = kx, where k is the constant of proportionality. (1)

Therefore y = x and line B depicts that.

Answer:

B)

Step-by-step explanation:

It's B) because if you look at the slope of the line it goes through all the boxes points.

Another way to do it is take to points and do

m=y2-y1/x2-x1

Hope this helps!

Answer:

y=3x

Explanation: Since the line passes through (0,0), the y-intercept is 0. The rate of change is 3, which can be onserved if you you plot these points on a corrdinate graph. Therefore, the equation is y=3x.

Plus or Minus.

For example.

5 ± 2 = 5 + 2 or 5-2

Therefore the answer is 7 or 3.

Answer:

It means that the number can be positive or negative.

Step-by-step explanation:

I hope this helps!!!

Answer:

Rachael is faster.

you can tell by finding the unit amount.

Step-by-step explanation:

I can tell by finding the unit amount. (miles per minute)

Rachael:

214/15 = 14.2666666667  or about 14.27

Julie:

334/25 = 13.36 miles per minute.

Answer:

0.039

Step-by-step explanation:

Multiply.

1.3 x 0.03 = 0.039

Answer:

B. 1/3

Step-by-step explanation:

The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...

2 / 6 = x

If we simplify it would give us [tex]\frac{1}{3}[/tex]

Answer:

The probability that the pet seen was sick is 53.57%.

Step-by-step explanation: