What is the difference between sigma (1+3n) and (3i-5)?

Answer:

2x+2

Step-by-step explanation:

drop the ( ) and combine like terms

Answer:

4 pounds = 1.814 kg

Step-by-step explanation:

Given that,

Weight of kitten = 4 pounds

We need to find the mass of the kitten in kg.

The relation between pounds and kg is given by :

1 kg = 2.204 pounds

⇒ 1 pound = (1/2.204) kg

⇒ 4 pounds = [tex]4\cdot\left(\dfrac{1}{2.204}\right)[/tex]

= 1.814 kg

Hence, 4 pounds is equal to 1.814 kg.

Answer:

Where is the problem??

Step-by-step explanation:

Answer:

50% I believe?

Step-by-step explanation:

Answer:

Derek would have to buy 3 packs of 8 hotdogs and 2  packs of 12 hotdog buns.

Step-by-step explanation:

This is because 8 times 3 is 24 and 12 times 2 is 24.

8 and 12 both have a common multiple, which is 24.

So if he buys 3 packs of hotdogs, which come in packs of 8, he'll get 24.

And if he buys 2 packs of buns, which come in packs of 12, he'll get 24.

#teamtrees #WAP (Water And Plant)

Interesting how you copied and pasted the other question, but i'll answer it anyway

Answer:

y equal 610x

Step-by-step explanation:

each hour the plane travels 610 miles (915/1.5)

Answer:

because the price of 2 adult tickets and 4 child tickets is $48

=> 2x + 4y = 48 (*)

the price of 5 adult tickets and 2 child tickets is $64

=> 5x + 2y = 64 (**)

from (*) to (**), we have:

[tex]\left \{ {{2x+4y=48} \atop {5x+2y=64}} \right.\\\\<=>\left \{ {{10x+20y=240} \atop {10x+4y=128}} \right.\\\\=>\left \{ {{20y-4y=240-128} \atop {2x+4y=48}} \right.\\\\<=>\left \{ {16y=112} \atop {2x+4y=48}} \right.\\\\<=>\left \{ {{y=7} \atop {x=10}} \right.[/tex]

so the ticket price for one adult is $10

the tickey price for one child is $7

+) a family that consists of 2 adults and 3 childs so they need have:

2.10 + 3.7 = 41 ($)

=> their budget isnt high enough

Step-by-step explanation:

Answer:

Estimation

72+33

= 105

Exact sum

72.13+33.14

=  105.27

Can i please get brainliest answer?

Answer:

exact sum is 105.27,,,

Step-by-step explanation:

that is after adding you gate the exact sum,,estimation is just measuring or by a look with an eye,,or just summating using the eyes without getting the actual answer,, estimation is 105

Answer:

5/14

Step-by-Step Explanation:

When dividing fractions, we have to change the division sign to a multiplication sign in order to make the problem easier. When we change signs, we also have to flip the second fraction in the equation. So, the fractions would turn into:

2/7 x 5/4

2 x 5 is 10, and 7 x 4 is 28. 10/28 simplified is 5/14.

Hope this helps!

Answer:

x = 8

Step-by-step explanation:

3x + `1 = 25

3x = 24

x = 8

Answer:

13.52

Step-by-step explanation:

If the distance between A and FL is the same between A and RN, you know that the angle between then is the same (90°). The two lines have the same lenght.

So, if RN is 13.52, FL is 13.52 too.

The length of the chord FL will be 13.52 units. Then the correct option is D.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

If the distance of the two chords from the center of the circle is the same, then the two chords are equal to each other.

The length of the chord RN is 13.52 units. The distance between the chords RN and FL from the center of the circle is 7.73 units.

If the distance between the chords RN and FL from the center of the circle is the same, then the length of the chords RN and FL will be equal to each other.

The length of the harmony FL will be 13.52 units. Then the right choice is D.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

The set of triangles given can be proven to be congruent or not as follows:

1. Congruent by the AAS Congruence Theorem

2. congruent by the SSS Congruence Theorem

3. Not congruent

4. Congruent by the HL Congruence Theorem

5. Congruent by the SAS Congruence Theorem

6. Congruent by the ASA Congruence Theorem

1. In the triangles in figure 1, a non-included side and two angles in one triangle are congruent to two angles and corresponding non-included side in the other triangle.

2. In the triangles in figure 2, three sides in one triangle are congruent to three sides in the other triangle.

3. In the triangles in figure 3, the two triangles do not contain enough information to prove they are congruent.

4. In the two right triangles in figure 4, the hypotenuse and one leg, in one right triangle are congruent to the hypotenuse and one leg in the other right triangle.

5. In the triangles in figure 5, an included angle and two sides in one triangle are congruent to a corresponding included angle and two sides in the other.

6. In the triangles in figure 6, an included side and two angles  in one triangle are congruent to two angles and a corresponding included side in the other triangle.

In summary, the set of triangles given can be proven to be congruent or not as follows:

1. Congruent by the AAS Congruence Theorem

2. congruent by the SSS Congruence Theorem

3. Not congruent

4. Congruent by the HL Congruence Theorem

5. Congruent by the SAS Congruence Theorem

6. Congruent by the ASA Congruence Theorem

Learn more here:

https://brainly.com/question/9351351

Answer:

$2,300 is the average retail price.

Step-by-step explanation:

$2500 is the initial price.

$100 is added to the price due to a radio.

$2500 + $100 = $2,600.

$300 is deducted due to mileage.

$2,600 - $300 = 2,300

Answer:

answer is option D : 42m+12

Answer:

15.

Step-by-step explanation:

(6/ 10) * 25

= 0.6 * 25

= 15.

Answer:

121

Step-by-step explanation:

Since the pattern is that for each 1 driveway, she makes $11, we multiply 11*11 and get 121. We determine that each driveway makes her $11 by dividing the amount earned by the driveways shoveled.

Answer:

160

Step-by-step explanation:

90% of 160 is 144

Answer:

The answer is C.

Answer:

y = 0.8x + 0.5

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') is,

y - y' = m(x - x')

Here, m = slope of the line

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Line represented by the table passes through two points (1, 1.3) and (1.5, 1.7).

Therefore, slope of the line (m) = [tex]\frac{1.7-1.3}{1.5-1}[/tex]

m = [tex]\frac{0.4}{0.5}[/tex]

m = 0.8

Equation of the line passing through (1, 1.3) will be,

y - 1.3 = 0.8(x - 1)

y = 0.8x - 0.8 + 1.3

y = 0.8x + 0.5

Answer:

You need to divide 6 on both sides

Step-by-step explanation:

Answer:

V = 3

Step-by-step explanation:

Divide each side by -6 to get 3

Answer:

875

Step-by-step explanation:

30*15=450

30*10=300

20*5=100

12.5+12.5=25

450+300+100+25=875

I worked from bottom to top

Answer:

875 ft²

Step-by-step explanation:

Let's split the figure along the two dotted lines. Then, we're left with two rectangles and a trapezoid at the top.

The area of a rectangle is A = lw, where l is the length and w is the width.

For the bottom rectangle, the length is 15 ft and the width is 30 ft. So:

A = lw = 15 * 30 = 450 ft²

For the middle rectangle, the length is 10 ft and the width is still 30 ft, so:

A = lw = 10 * 30 = 300 ft²

The area of a trapezoid is denoted by A = (b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.

Here, the bigger base, b2, is still 30 ft. The smaller base, however, is actually 30 - 5 - 5 = 20 ft. The height is 5 ft. So, plug these in:

A = (b1 + b2) * h/2

A = (20 + 30) * 5/2 = 50 * 5/2 = 250/2 = 125 ft²

Finally, add all these disparate areas together:

450 + 300 + 125 = 875 ft²

9514 1404 393

Answer:

Step-by-step explanation:

Writing equations from words is mostly a matter of understanding what the English words mean.

If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:

  x² = y + 16 . . . . the first equation

The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...

  4y -1

This is equal to the first number (x) multiplied by 7, so ...

  4y -1 = 7x . . . . the second equation

__

These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...

  (x, y) = (5, 9)

Answer:

14

Step-by-step explanation

Answer:

see explanation

Step-by-step explanation:

The formula for the Sine rule is

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

Where a, b and c are the sides of a triangle and A, B , C are the angles opposite the corresponding sides, that is

A is opposite side a, B is opposite side b, C is opposite side c

The sine rule is usually applied using a pair of the ratios, where

2 sides and an angle are known to find an unknown angle.

1 side and 2 angles are known to find an unknown side.

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2

There are 2 forms of the Cosine rule

(a) a² = b² + c² - (2bc cosA ) ← to calculate an unknown side

(b) cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex] ← to calculate an unknown angle

(a) is used given 2 sides of a triangle b and c are known with A being the included angle ( the angle between the 2 sides )

(b) is used when the 3 sides a, b and c are known

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

3

If the angle A = 90° then cos90° = 0 and formula (a) becomes

a² = b² + c² ← that is Pythagoras' identity

9514 1404 393

Explanation:

1. The Law of Sines says each side length is proportional to the sine of the opposite angle. As with any proportion, it can be written four ways. Corresponding parts can be numerators, denominators, or parts of the same ratio.

Where a, b, c are the side lengths, and A, B, C are the respective opposite angles, some of the formulations are ...

  [tex]\dfrac{\sin(A)}{a}=\dfrac{\sin(B)}{b}=\dfrac{\sin(C)}{c}\\\\\dfrac{a}{\sin(A)}=\dfrac{b}{\sin(B)}=\dfrac{c}{\sin(C)}\\\\\dfrac{a}{b}=\dfrac{\sin(A)}{\sin(B)}\quad \dfrac{a}{c}=\dfrac{\sin(A)}{\sin(C)}[/tex]

When solving triangles, you need ...

__

2. The Law of Cosines is conventionally written as ...

  [tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

where c is the side opposite angle C, and a and b are the sides bounding angle C. Any of the side and angle designations can be interchanged, so, for example, it can also be written ...

  [tex]a^2=b^2+c^2-2bc\cos(A)[/tex]

The equation can be solved for the angle, which gives ...

  [tex]A=\arccos{\left(\dfrac{b^2+c^2-a^2}{2bc}\right)}[/tex]

When using this formula, you need ...

If the two given sides do not bound the given angle, the Law of Sines may be easier to use. Using the Law of Cosines will result in a quadratic equation for the unknown side, whereas the Law of Sines will give a linear equation.

__

3. When the enclosed angle is a right angle, the Law of Cosines degenerates to a statement of the Pythagorean theorem. (The cosine term vanishes.)