The burglar has been leaving behind the ladder he or she uses to climb into the houses' windows. With this evidence, you can find out from which store the burglar is purchasing the ladders. Store A only sells ladders that are between 25 feet and 30 feet tall. Store B only sells ladders that are between 20 feet and 28 feet tall.

Using the diagrams below, determine the length of the ladders and deduce where the burglar buys the ladders.

Set the two expressions equal to one another and solve for x

22x = 12x+9

22x-12x = 9

10x = 9

x = 9/10

x = 0.9

Assuming x is the number of items sold, then it is not possible to have the same amount earned for the two days. This is because we cannot sell 0.9 of an item. So it appears it is not possible to earn the same amount each day.

Answer:

Please check the explanation and attached graph.

Step-by-step explanation:

Given the parent function

y = |x|

In order to translate the absolute function y = |x| vertically, we can use the function

g(x) = f(x) + h

when h > 0, the graph of g(x) translated h units up.

Given that the image function

y=|x|+4

It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.

The graph of both parent and translated function is attache below.

In the graph,

The blue line represents the parent function y=|x|.

The red line represents the image function y=|x| + 4.

It is clear from the graph that the y=|x| + 4  translated '4' units up.

Please check the attached graph.

Answer:

[tex]:\implies\tt \dfrac{n + 1}{2} = -\dfrac{3}{4} \\ \\ \\ [/tex]

⚽ Cross multiplying both the sides we get :

[tex]:\implies\tt (n + 1) \times 4= -3 \times 2 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n + 4= -6 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n = -6 - 4 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n = -10 \\ \\ \\ [/tex]

[tex]:\implies\tt n = \dfrac{-10}{4}\\ \\ \\ [/tex]

[tex]:\implies\tt n = \dfrac{-5}{2}\\ \\ \\ [/tex]

[tex]:\implies \ddag \: \gray{ \underline{ \boxed{\tt n = - 2.5}}} \: \ddag\\ \\ \\ [/tex]

Answer:

I think it like this .........

Answer:

(3, 6 )

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x + 3 → (2)

Substitute y = 5x - 9 into (2)

5x - 9 = x + 3 ( subtract x from both sides )

4x - 9 = 3 ( add 9 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 3 + 3 = 6

solution is (3, 6 )

Answer:

2.47 feet

Step-by-step explanation:

Let l, b, and h be the length, width, and height of the box.

As the length is twice the width, so l=2b ...(i)

The volume of the box is 20 cubic feet, so

lbh=20

(2b)bh=20  [by using (i)]

[tex]h=\frac {20}{2b^2} \\\\h= \frac {10}{b^2} ...(ii)[/tex]

The material required= surface area, S, of the open box

S= lb+2bh+2lh

By using equation (i) and (ii), we have

[tex]S= 2b(b)+2b\times \frac {10}{b^2} +2(2b)\times \frac {10}{b^2}[/tex]

[tex]S= 2b^2+ \frac {20}{b} + \frac {40}{b} \\\\S= 2b^2+ \frac {60}{b} \cdots(i)[/tex]

Now, we have the surface area, S, as the function of width, b.

Differentiate S with respect to b then equate it to zero to get the extremum values, as

[tex]\frac {dS}{db}=0 \\\\\frac {d}{db}(2b^2 +60/b)=0 \\\\4b-\frac{-60}{b^2}=0 \\\\4b=\frac{60}{b^2} \\\\b^3=\frac{60}{4} \\\\b=(15)^{1/3}[/tex]

b=2.47 feet.

Now, by second differentiation, checking the nature of extremum value.

[tex]\frac {d^2S}{db^2}=4+\frac {120}{b^3}[/tex]

For [tex]b>0, \frac {d^2S}{db^2} >0[/tex]

So, the width of the box,  b=2.47,  is the minima for the area, S(b).

Hence, the width of the box that can be produced using the minimum amount of material is 2.47 feet.

Answer:5x-17

Step-by-step explanation:

4x - 7 + x -10 = 0

4x + x - 7 - 10 = 0

5x - 17 = 0

5x = 17

x = 17/5

Answer:

True, True, False.

Step-by-step explanation:

A) Rise/Run is 8/1

B) 8 dollars are earned every hour

C) Correct equation is y=8x

Answer:

A

Step-by-step explanation:

For this specific question its B but If you get another order of answers its is the on that goes down to -4 then gets 8 units higher leaving it at 4.

Answer:

5,191.48936

Step-by-step explanation:

Given:

976 / 0.188

Find:

Value

Computation:

⇒ 976 / 0.188

⇒ 976000 / 188

5,191.48936

Step-by-step explanation:

Triangle XYZ is isosceles.

Since Angle Y = 90°, Angle Z = (180° - 90°)/2 = 45°.

Answer:

15 metters

Step-by-step explanation:

hope this helps you.

Answer:

96 ways

Step-by-step explanation:

Given

[tex]Day = 86400\ seconds[/tex]

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

[tex]86400/2 = 43200[/tex]

[tex]43200/2=21600[/tex]

[tex]21600/2=10800[/tex]

[tex]10800/2=5400[/tex]

[tex]5400/2= 2700[/tex]

[tex]2700/2 = 1350[/tex]

[tex]1350/2=675[/tex]

[tex]675/3=225[/tex]

[tex]225/3=75[/tex]

[tex]75/3=25[/tex]

[tex]25/5=5[/tex]

[tex]5/5 = 1[/tex]

This implies that:

[tex]86400 = 2^7 * 3^3 * 5^2[/tex]

The number of factors d is the solved by:

[tex]d = (a+1)*(b+1) *(c+1)[/tex]

Where

[tex]n = 2^a * 3^b * 5^c[/tex]

By comparison:

[tex]a = 7[/tex]

[tex]b = 3[/tex]

[tex]c=2[/tex]

So:

[tex]d = (7+1)*(3+1) *(2+1)[/tex]

[tex]d = 8*4 *3[/tex]

[tex]d = 96[/tex]

Hence, there are 96 total ways

Answer:

I would say for almonds next to the number 2 put $21.98 and for dried apricots next to $26.25 put 3 pounds and then see which one is more expensive.

Step-by-step explanation:

Apricots is less expensive than Almonds.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

2 pounds almonds cost = 21.98

So, cost of 1 pounds cost = 21.98/2= 10.99

and, 3 pounds apricots cost= 26.25

So, cost of 1 pounds cost = 26.25/3  = 8.75

Hence, Apricots is less expensive than Almonds.

The complete Table is

Almonds                                                         Dried Apricots

Cost             Weight                                     Cost             Weight

21.98              2                                               26.25            3

10.99               1                                               8.75                1

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Answer:

Electrons

Step-by-step explanation:

Protons have a positive charge. Electrons have a negative charge. Neutrons have no charge. When there is an equal number of protons and electrons in an atom, the charges cancel out and the atom is neutral.

Answer:

the vintage movie posters and the 2 rock posters could be priced the same, $8.

8 x 4 = 32.

the rap poster could be $6, but with the half-off coupon it comes to $3

32 + 3 = 35

assuming the gift card covers the total cost, this reasoning is correct.

Step-by-step explanation:

Answer: are there choices?

Step-by-step explanation:

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

To find x, we first have to solve the equation given in the question:

[tex]\frac{20}{12} = \frac{15}{x}[/tex]

[tex]20x = 15 \cdot 12[/tex]

[tex]x = \frac{180}{20}[/tex]

[tex]x = 9[/tex]

Therefore, x = 9.

Hope this helped!

Answer:

x=9

Step-by-step explanation:

We have: [tex]\frac{20}{12}[/tex]=[tex]\frac{15}{x}[/tex]

First, we can simplify 20/12 by 4

[tex]\frac{5}{3}[/tex]=[tex]\frac{15}{x}[/tex]

this is a proportion, so we can cross multiply (multiply 5 by x and 3 by 15)

5x=45

divide by 5

x=9

Hope this helps!

Answer:

the first forth and fifth answers are correct.

Step-by-step explanation:

8 times 1.25 = 10

8 time 1.70 = 13.60

8 times 1.75 = 14

Answer:

The probability that the value of the second die is higher than the first

[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]

Step-by-step explanation:

Explanation:-

In a single throw with two dice total number of sums = 6 X 6 = 36

Let 'E' be the event of the second die is higher than the first

Total number of cases

= {( 1,1), (1,2 )( 1,3), (1,4) , (1,5) ,(1,6)

  ( 2,1), (2,2 )( 2,3), (2,4) , (2,5),(2,6)

   ( 3,1), (3,2 )( 3,3), (3,4) , (3,5),(3,6)

( 4,1), (4,2 )( 4,3), (4,4) , (4,5),(4,6)

( 5,1), (5,2 )( 5,3), (5,4) , (5,5),(5,6)

( 6,1), (6,2 )( 6,3), (6,4) , (6,5),(6,6)}

The favourable cases

      n(E) = {(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)} = 15

The probability that the value of the second die is higher than the first

[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]

Answer: it 5 cuh

Step-by-step explanation:

Answer: x= 15

Step-by-step explanation: So to prove these two lines A and B are congruent the angles must line up which mean rules of complimentary, Supplementary and alternating angles apply. For angles 2 and 4 due to our alternating angles rule they add up to equal 180 so in math

2x+10+4x+80 = 180  or  6x+90=180  where x = 15

Answer:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Step-by-step explanation:

Given that:

Roses come in a bunch of 12 flowers and

Lilies come in a bunch of 8 flowers

Number of roses ordered is equal to the number of lilies ordered.

Total number of flowers ordered are lesser than 100.

To find:

The possible number of combinations such that equal number of flowers are bought.

Solution:

Here, we need to find the Least Common Multiple.

[tex]12 = \underline{2 \times 2} \times 3[/tex]

[tex]8 = \underline{2 \times 2} \times 2[/tex]

LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]

Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.

i.e.

24, 48, 72, 96 ....

Here, two types of flowers are there.

Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.

48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.

Total possible combinations:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Answer:

110

Step-by-step explanation:

lets assume y is the angle next to x which should complete to form a 360.

50 + 25 + 35 + y = 360

y = 250

x + y = 360

x + 250 = 360

x = 110

Answer:

110

Step-by-step explanation:

lets assume y is the angle next to x which should complete to from a 360.

50 + 25 + 35 + y = 360

y = 250

x + y = 360

x + 250 = 360

x = 110

Answer:a

Step-by-step explanation:

There is no equation, what is the equation?

Answer:

what is the equation

Step-by-step explanation:

Answer:

The answer is 6

Step-by-step explanation:

The highest common factor between the numbers is 6.

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two numbers are 90 and 48. The highest common factor will be calculated as,

90 = 2 x 3 x 3 x 5

48= 2x2x2x2x3

The common numbers are 2 x 3  = 6

Therefore, the highest common factor between the numbers is 6.

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Answer:

z = 33

Step-by-step explanation:

[tex]1 \frac{4}{11} \times z = 45 \\ \\ \frac{1 \times 11 + 4}{11} \times z = 45 \\ \\\frac{11 + 4}{11} \times z = 45 \\ \\\frac{15}{11} \times z = 45\\ \\z = \cancel{ 45} \: \: \red{ \bold{3}} \times \frac{11}{ \cancel{15}} \\ \\ z = 3 \times 11 \\ \\ z = 33[/tex]

Answer:

3cm²

Step-by-step explanation:

1/2 x 2 x 3 = 3

Answer:

$10.11

Step-by-step explanation:

Answer:

10.11

Step-by-step explanation:

7% of 9.45 is 0.66, and 9.45 + 0.66 = 10.11, so the answer is 10.11