Carson has a package to mail. The package is 87 cm long. The shipping company only mails packages that are up to 35 in. long. Can Carson mail the package?
Show your work. (1 in. = 2.54 cm)

Answer:

option D is pretty close but not parallel obviously

Answer:

1. 23

2. 32

3. 9

4. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)

                        = 7*( -2x  +3y - 0.7)

-2x + 3(-5x + 1) = -2x - 15x + 3

                       = -17x + 3

-3x + 5(-8x - 1) = -3x  - 40x - 5

                       = -43x - 5

-4x + 5(-5x - 1) = -4x - 25x - 5

                       = -29x - 5

Measure of segment DC is 24

Measure of segment C'B' is 16

Measure of segment AD is 10

Measure of segment A'B' is 7

Measure of angle C is 49 degrees

Measure of angle A' is 111 degrees

Measure of angle D' is 65 degrees

Measure of angle B' is 135 degrees

Measure of angle A is 111 degrees

To determine the measures, we need to know the properties of parallelograms, we have;

We have that the two parallelograms are equal

Now, trace the angles from one to other

Angle A = 360 - (49 + 135 + 65)

add the values, we have;

Angle A = 360 -249

Angle A =111 degrees

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Answer:

6

Step-by-step explanation:

siri=6x-10

alexa= 50-4x

im making a table which is an easy way to tell or you can guess and check

X       S       A

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

 2     |    2    |42

  3    |   8     |38

   4   |     14   |34

  5    |   20     |30

   6   |     26   |26

Answer:

x=15.5

Step-by-step explanation:

2x+1=32

2x=32-1

2x=31

x=15.5

Answer:

x = \(\frac{31}{2}\)

Step-by-step explanation:

Given

2x + 1 = 32 ( subtract 1 from both sides )

2x = 31 ( divide both sides by 2 )

x = \(\frac{31}{2}\)

Answer:

8% increase

Step-by-step explanation:

The length after the increase:

30 x 1.1 = 33cm

The width after the increase:

20 x 1.05 = 21cm

New perimeter:

2(33 + 21) = 108 cm^2

Old perimeter:

2(30 + 20) = 100 cm^2

Percentage increase of area:

108 / 100 = 1.08 = 8% increase

Answer:

length_20 cm breadth_30 cm

Step-by-step explanation:

width of the rectangular_ 5/:. length of rectangular_10/:. primeter of rectangular_? now perimeter of rectangular_2(l+b). 2(20+30) __100#

As the question say this problem is a practice of the law of cosines!

The law of cosine: c^2=a^2+b^2-2ab*cos*c for any side a, b and c

The law can also be written as c=sqrt(a^2+b^2-2abcosc)

Now use this formula!(note cos 100 degrees is about 0.8623)

c=sqrt(15^2+16^2-2*15*16*cos100)

solving this we can MN is about 23.75

Round this to the nearest tenths now!

We get 23.8!

Thus the answer is D

Answer:

x = -8

Step-by-step explanation:

Step 1: Write out the equation

-4(2x + 3) = 2x + 6 - (8x + 2)

Step 2: Distribute

-8x - 12 = 2x + 6 - 8x - 2

Step 3: Combine like terms

-8x - 12 = -6x + 4

Step 4: Isolate x's

-2x -12 = 4

-2x = 16

Step 5: Divide both sides by -2

x = -8

Answer:

b) x = -8

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ -4(2x + 3) = (2x + 6) - (8x + 2)

Then the value of x will be,

→ -4(2x + 3) = (2x + 6) - (8x + 2)

→ -4(2x + 3) = 2x + 6 - 8x - 2

→ -8x - 12 = (2x - 8x) + (6 - 2)

→ -8x - 12 = -6x + 4

→ -8x + 6x = 4 + 12

→ -2x = 16

→ x = 16/-2

→ [ x = -8 ]

Hence, the value of x is -8.

The answer is -5/2, hope this helps you!

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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In a triangle one side that lies on an extended line segment,  statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒  Y + 147 = 180

⇒  Y  = 180 - 147

⇒  Y = 33

sum of all the interior angles of the triangle is 180°

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

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Answer:

1. 4, 2. 9

Step-by-step explanation:

1. you graph both points and draw lines between them.

2. find the slope

3. if you're too lazy to find the slope, keep drawing the line until it hits the Y line.

4. find the number the line lands on

5. thats ur answer buckaroo

To the total of 99 cookies, there are 27 cookies in middle pile.

Let's call the number of cookies in the first pile "x". Then, the number of cookies in the second pile is 1/2 of x, or (1/2)x, and the number of cookies in the third pile is 1/3 of x, or (1/3)x.

We know that the total number of cookies is 99, so we can write an equation:

x + (1/2)x + (1/3)x = 99

To solve for x, we can first find a common denominator:

(6/6)x + (3/6)x + (2/6)x = 99

(11/6)x = 99

x = (6/11) * 99

x = 54

So, there are 54 cookies in the first pile, (1/2)x = (1/2)*54 = 27 cookies in the second pile, and (1/3)x = (1/3)*54 = 18 cookies in the third pile. In the middle pile there are 27 cookies.

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Answer:

13.1

Step-by-step explanation:

The right response is, "5 hexagons are made up of 15 pattern block trapezoids."

Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.  

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Using multiplication principle of counting, Argyle can make 140 different outfits.

Argyle has 10 T-shirts and 7 pairs of shorts, which he can wear with either sandals or sneakers. To find out how many different outfits he can make, we can use the multiplication principle of counting, which states that the total number of outcomes for a sequence of events is the product of the number of outcomes for each event.

First, we need to determine the number of ways Argyle can choose a T-shirt and a pair of shorts. He can choose one of 10 T-shirts and one of 7 pairs of shorts, giving us:

10 x 7 = 70

Next, we need to determine the number of ways Argyle can choose shoes. For each outfit, he can choose either sandals or sneakers, giving us:

shoes = 2

Finally, we can find the total number of different outfits by multiplying the number of ways to choose a T-shirt and shorts by the number of ways to choose shoes:

70 x 2 = 140

Therefore, Argyle can make 140 different outfits if all the colors and patterns coordinate.

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Answer:

The numerator is x²+6x+5.

We need to first factorise the expression

The coefficient of x² is 1, and the constant term of the quadratic expression is 5.

the product of coefficient of x² and constant term=5

∴ we break the middle term, 6x, such that,  the product of the coeffcients of  the two terms is 5, while their sum is 6

∴ 6x=5x+x

Now, rewriting the expression,

x²+5x+x+5

Taking x as common factor in x² and 5x,

x(x+5)+x+5

Again, taking x+5 as the common factor,

(x+5)(x+1)

Now, replacing x²+6x+5 with (x+5)(x+6) in the expression,

(x+5)(x+1)/(x+2)

Hence the value of the expression is (x+5)(x+1)/(x+2)

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Answer:

1. 3

2. 4

3. 0

4. 2

Step-by-step explanation:

Hope that helps

Answer:

1. is 3 2. is 4 3. is 0 4. is 2

PV of consumption bundle (i) and (iii) are less than $83,000, so only the option (ii) and (iv) are feasible for Dan. Hence, the feasible consumption bundle for Dan is: (92,000, 92,000) and (90,000, 92,000)

Given: Dan's income now is $83,000 and his income in the future will be $100,000. The real interest rate is 5%.

We know that consumption bundle is feasible if:

Present value of consumption bundle <= Present value of Dan's income

So, Let's find the present value of all four options.

(i) Consumption Bundle (95,000, 90,000)

PV of consumption bundle = $95,000/(1+0.05) + $90,000/(1+0.05)² = $90,476.19

(ii) Consumption Bundle (92,000, 92,000)

PV of consumption bundle = $92,000/(1+0.05) + $92,000/(1+0.05)² = $87,619.05

(iii) Consumption Bundle (88,000, 95,000)

PV of consumption bundle = $88,000/(1+0.05) + $95,000/(1+0.05)² = $87,428.57

(iv) Consumption Bundle (90,000, 92,000)

PV of consumption bundle = $90,000/(1+0.05) + $92,000/(1+0.05)² = $85,714.29

Since, PV of consumption bundle (i) and (iii) are less than $83,000, so only the option (ii) and (iv) are feasible for Dan.

Hence, the feasible consumption bundle for Dan is: (92,000, 92,000) and (90,000, 92,000)

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s = 55.3 in this situation means the annual sales that can be written in millions like 55.3 million sales in 2008.

Mean:

Mean is the fraction of the sum of the observed data by the total number of sample data.

That is,

Mean = Sum of all observations / number of observations

Given,

Let s be the annual sales (in millions) for a particular electronic item.

The value of s is 55.3 for 2008.

Here we need to find what does s = 55.3 mean in this situation.

According to the question,

s represents the annual sales (in millions) for a particular electronic item.

So,

s = 55.3

means the the annual sales (in millions) for a particular electronic item.

Like 55.3 millions of particular electronic item sold in 2008.

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Answer:

0.99

Step-by-step explanation:

The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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Answer:

-1 , 4

Step-by-step explanation:

x = ( -2 + 0 ) ÷ 2

y = ( -1 + 9 ) ÷ 2

-2 ÷ 2 = -1

8 ÷ 2 = 4

( -1 , 4 )

Answer:

$460.

Step-by-step explanation:

\(Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\\)

So the price yesterday was $460

Answer:

  radiation

Step-by-step explanation:

The energy budget of the Earth is dominated by radiation from the Sun. Without it, there would be no life on Earth.

Radiation is also an important contributor to night-day temperature differences and the weather they cause.

Yes it is a right triangle

The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

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Answer:

The quotient decreases

Step-by-step explanation:

Give the expression :

10 / d

What happens to the expression as d increases. from small positive to large positive ;

d in the expression is the denominator ;the value obtained by dividing the numerator by the denominator is the quotient.

Since the value of the numerator is constant ;

As the value of d increases, the quotient obtained becomes smaller `

For instance,

Let

d = 2;

10 /2 = 5

d = 3

10 / 3 = 3.333

d = 4

10 / 4 = 2.5

And the trend continues

Answer:

2.5 on khan

Step-by-step explanation: