If l is parallel to m, find the values of x and y in the diagram below

If I want to buy 3 packages of 10 cans it will cost me around $1.4 per can.

It is given that the price of a package of 10 cans of soup = $14

and the price of an individual can = $2

Now, if I want to purchase at least 25 individual cans there can be two possible ways to do this:

Therefore, if I decided to buy 3 packages of 10 cans it will cost me $42 and I will pay $1.4 for each can.

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Using the z-distribution, it is found that mean weights less than 135.1g and more than 144.9 would lead to a rejection of the hypothesis.

We have a two-tailed test, with a significance value of α = 0.05, hence, using a z-distribution calculator, the critical value is given by:

|z| = 1.96 -> z < -1.96 or z > 1.96.

The test statistic is given as follows:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

For this problem, the parameters are given as follows:

[tex]\mu = 140, \sigma = 15, n = 36[/tex]

The lower bound of acception is found as X when z = -1.96, hence:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

-1.96 = (X - 140)/(15/6)

-1.96 = (X - 140)/(2.5)

X - 140 = -1.96 x 2.5

X = 135.1.

The upper bound of acception is found as X when z = 1.96, hence:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

1.96 = (X - 140)/(15/6)

1.96 = (X - 140)/(2.5)

X - 140 = 1.96 x 2.5

X = 144.9.

Hence:

Mean weights less than 135.1g and more than 144.9 would lead to a rejection of the hypothesis.

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Answer:

-1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number

Step-by-step explanation:

You should understand that numbers are naturally classified as real and imaginary. Under the real numbers, they are additionally classified into rational and irrational numbers. Under rational numbers, these possess fractions and integers. Irrational numbers are in decimal forms that cannot be converted to fractions. Thus, the difference between the two is that: -1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number.

Well, the directions are laid out for you...

If F = 0.3444…, then 10F = 3.444.... Subtracting F from this gives

10F - F = 3.444… - 0.3444…

9F = 3.1

Solve for F.

F = 3.1/9 = (31/10)/9 = 31/90

so you would enter 90.

Answer: I believe that the answer is -3x=4y

Step-by-step explanation: I hope this helps and I am sorry if I am wrong.

The minimum and maximum distance from Earth to the Sun will be 90.7 million miles and 93.80 million miles.

From the information, The average distance from Earth to the Sun is 92.95 million miles. The actual

distance varies from the average by up to 1.55 million miles.

The minimum value will be:

= 92.25 - 1.55

= 90.7 million miles.

The maximum distance will be:

= 92.25 + 1.55

= 93.80 million miles.

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Answer: x<=-6 or x>=4 ==> option 2

Step-by-step explanation:

|x+1|-2>=3

|x+1|>=5

x+1>=5

x>=4

x+1<=-5

x<=-6

x<=-6 or x>=4 ==> option 2

Answer:

See below

Step-by-step explanation:

|x+1|  -2  ≥ 3      start by adding 2 to both sides

|x+1| ≥ 5      now   ....  

 x+1 >= 5              x+1 <=  -5

x  >= 4                    x <=  -6

combined         -6 >=  x >= 4

Answer:

a = 3 , b = - 2

Step-by-step explanation:

5a + b = 17 → (1)

3a + 2b = 5 → (2)

multiplying (1) by 2 and adding to (2) will eliminate b

10a + 2b = 34 → (3)

add (2) and (3) term by term to eliminate b

13a + 0 = 39

13a = 39 ( divide both sides by 13 )

a = 3

substitute a = 3 into either of the 2 equations and solve for b

substituting into (1)

5(3) + b = 17

15 - b = 17 ( subtract 15 from both sides )

- b = 2 ( multiply both sides by - 1 )

b = - 2

then solution is a = 3 , b = - 2

El área del terreno es igual a 406 metros cuadrados.

El perímetro del terreno es igual a 104 metros.

En esta pregunta tenemos conocimiento de las ecuaciones asociadas a las longitudes de la base y la altura del terreno, cuya forma es rectangular. Inicialmente, determinamos el área del terreno:

A = b · h

A = (20 - 2 · x) · (16 + 10 · x)

A = (20 - 2 · 3) · (16 + 10 · 3)

A = (20 - 6) · (16 + 13)

A = 14 · 29

A = 406 m²

El área del terreno es igual a 406 metros cuadrados.

Ahora, determinamos el perímetro del terreno:

p = 2 · (b + h)

p = 2 · [(20 - 2 · x) + (16 + 10 · x)]

p = 2 · (8 · x + 36)

p = 16 · x + 72

p = 16 · 2 + 72

p = 32 + 72

p = 104 m

El perímetro del terreno es igual a 104 metros.

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Answer:

21

Step-by-step explanation:

3.5 x 6 = ?

The equation can be written as 2.75x + 3.10 = 27.85

The number of miles in the taxi ride is 9

The taxi company was charged a pick-up fee of $3.10

It also charges $2.75 per mile

The total fare is $27.85

The equation can be written as

2.75x + 3.10 = 27.85

Collect the like terms to get the value of x

2.75x= 27.85 - 3.10

2.75x = 24.75

divide both sides by the coefficient of x which is 2.75

2.75x/2.75= 24.75/2.75

x= 9

Hence the number of miles in the taxi ride is 9

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Answer:

x=9

Step-by-step explanation:

i did it

Using Permutations, we can calculate, there will be total of 45 ways to play first a beethoven piano concerto and then a beethoven symphony.

When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Given,

symphonies = 9

piano concertos = 5

So, the ways to play first a beethoven piano concerto and then a beethoven symphony = ⁹P₁ × ⁵P₁

= 45ways

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she made an error in the third step. The correct answer is - 9.7b + 25

(-4.23b + 13) - (5.47b - 12)

Therefore, let's open the bracket on the right side.

-4.23b + 13 - 5.47b + 12

Hence, let's combine the like terms

-4.23b + 13 - 5.47b + 12

-4.23b - 5.47b + 12 + 13

Do the arithmetic of the like terms

-4.23b - 5.47b + 12 + 13

- 9.7b + 25

Therefore, she made an error in the third step.

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Answer:

$150

Step-by-step explanation:

The sale price is $120. We're looking for 80% of the original price, given this sale price.

[tex]120 = .8p[/tex]

[tex]p = 150[/tex]

Answer: 12 cupcakes

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Vertical angles are equal.

5x+1=4x+3

   -1        -1

5x=4x+2

-4x -4x

1x=2

x=2

The value of x is 2.

5(2)=4(2)+2

10=8+2

10=10

Hope this helps.

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &20 \end{cases} \\\\\\ A=10000e^{0.11\cdot 20} \implies A=10000e^{2.2}\implies A \approx 90250.14[/tex]

Answer:

2y^2+4y

Step-by-step explanation:

7y^2-5y+9y-5y^2

=7y^2+4y-5y^2

=7y^2-5y^2+4y

=2y^2+4y

Answer:

forty-seven :)

Step-by-step explanation:

4 tens

7 ones :)

Have an amazing day!!

Please rate and mark brainliest!!

If at sunset a thermometer had a reading of 4°F and during the night the temperature decreased by 15°F, then after the decrease the total number of degrees that the temperature must change for the thermometer to read 0°F is equal to 11°F.

The total number of degrees that the temperature must change for the thermometer to read 0°F can be determined by using subtraction.

Subtraction can be defined as an act of calculating the difference between numbers or values.

As the temperature decreased by 15°F during the night, the temperature after the decrease can be calculated as follows,

4°F - 15°F = -11°F

The total number of degrees the temperature must change for the thermometer to read 0°F can be calculated as follows,

-11°F + x = 0

x = 11°F

Hence, the temperature must increase by 11°F for the thermometer to read 0°F.

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Answer: 11’F

Step-by-step explanation:

4’F-15’F=-11

-11+11’F=0’F

Stanley bought total 299 kilograms of rice.

To find the amount of rice in kilograms, bought by Stanley, we will perform multiplication and addition.

Weight of 1 bag = 13 kilograms

Weight of white rice = 16 × 13

Performing multiplication to calculate the weight

Weight of white rice = 208 kilograms

Weight of brown rice = 7 × 13

Performing multiplication to calculate the weight

Weight of white rice = 91 kilograms

Total amount of rice bought by Stanley = 208 + 91

Performing addition to calculate the weight

Total amount of rice bought by Stanley = 299 kilograms

Hence, Stanley bought total 299 kilograms of rice.

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Answer:

download mo po gauth math tas scan mo po yan

Step-by-step explanation:

The possible triples are: (3, 3, 3), (4, 2, 4) as seen by counting theorem.

Now, by the counting principle,

Hence, the possible triples are: (3, 3, 3), (4, 2, 4).

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Answer:

2.5 60÷24=2.5 so there is ur answer hope it helps

Answer:

A $78.50

Step-by-step explanation:

Pennies $2.50

nickels $6.00

dimes $30.00

quarters $40.00

Using scientific notation, it is found that:

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

For this problem, the number is given by:

982.1 m².

In scientific notation, the base has to be a number between 1 and 10(open interval at 10), hence the base has to be divided by 100.

To compensate for the division by 100, the number has to be multiplied by 100 somewhere, which happens when we add 2 to the exponent, as 10² = 100.

Hence:

The number is written as follows: [tex]9.821 \times 10^2[/tex] m².

The significant digits are all the digits that are not zero, and the zeros at the beginning or between other numbers, hence they are:

9, 8, 2 and 1.

Meaning that the number has 4 significant digits.

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Answer:

169+345=514

514-169+345

Step-by-step explanation:

Answer:

Step-by-step explanation:

Check that q=514 for the equation q - 345 = 169

q - 345 =  169

q = 169 + 345

q = 514

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

check

514 - 345 = 169

169 = 169

the answer is good

Answer:

what does x = 5

45 + 110 + 25 = 180

Step-by-step explanation:

To get x we multiply which same number is multiplied by both numbers and give the answer for 9x + 22x + 25 = 180

in 9's table we have 9×5=45

in 22's table we have 22×5=110

Now we can check 45 + 110 + 25 = 180

Hence we can conclude that x = 5

Hope it helps!!!

:)

Brainliest pls

Answer:

x = 5

Step-by-step explanation:

Given equation

→ 9x + 22x + 25 = 180

Now the value of x will be,

→ 9x + 22x + 25 = 180

→ 31x = 180 - 25

→ x = 155/31

→ [ x = 5 ]

Hence, the value of x is 5.

3/8 * 11 = 4.125

3/4 * 2 = 1.5

4.125  = 33/8 = 4 1/8

1.5 = 3/2 = 1 1/2

Answer:

Hope this helps :)

3/8 x 11 = 33/8 = 4 1/8 (simplified and converted into mixed number)

3/4 x 2 = 6/4 = 1 2/4 = 1 1/2 (simplified and converted into mixed number)

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

Point Z(3,-17)

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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