The sun of the first 3 terms of an arithmetic sequence is 21 while their product is 315 determine these three terms?

Answer:

7 cm by 6 cm by 18 cm

Step-by-step explanation:

Given :

Volume of candle = 270cm³

Height = 18cm

Triangular base = 5cm

Width of candle = 7cm

Volume = Area of base * height

270cm³ = Area of base * 18

Area of base = 270cm³ / 18cm

Area of base = 15 cm²

Using this to find the height of triangular prism :

Area = 1/2 * base * height

15cm² = 1/2 * 5 * height

15cm² = 2.5 *. Height

Height = 6 cm

Hence, the dimension of triangular prism is : 7cm by 6cm by 18cm

Answer:

7 cm by 6 cm by 18 cm

Step-by-step explanation:

its D

Answer:

6.5 hours

Step-by-step explanation:

James troubled 40 miles per hour and traveled a total distance of 260 miles

The formula to calculate the Total Amount of time it would take to reach the destination bis given as:

Time = Distance/Speed

Distance = 260 miles

Speed = 40 miles per hour

Hence,

Time = 260 miles/40 miles per hour

Time = 6.5 hours

Therefore, the total amount of time it took James to reach his destination is 6.5 hours

Answer:

infinitely many solutions

Step-by-step explanation:

The two sides of this equation are identical.  Thus, this is an 'identity.'  The equation will be true no matter what value is substituted for x.  Thus, there are infinitely many solutions.

Answer:

Step-by-step explanation:

Answer:

y = 6/7x - 37/7

Step-by-step explanation:

m = 6/7

(5, -1)

y - y1 = m(x - x1)

y + 1 = 6/7(x - 5)

y + 1 = 6/7x - 30/7

y = 6/7x - 37/7

Answer:

Step-by-step explanation:

Start by the point-slope form and given slope = 6/7 and point (5, -1)

(y-(-1)) / (x-5) = 6/7

7(y+1) = 6(x-5)

7y = 6x - 37

y = 6x/7 - 5 2/7

which is the answer in slope-intercept form

Answer:

Helloooo

ur answer is

66.6666666667

Step-by-step explanation:

thanks.....hope it helps

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

[tex]OA = 2x + 9y[/tex]

[tex]OB = 4x + 8y[/tex]

[tex]CD = 4x - 2y[/tex]

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

[tex]AB = (c - a)x + (d - b)y[/tex]

Where:

[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]

[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]

This implies that:

[tex]a =2[/tex]      [tex]b = 9[/tex]     [tex]c = 4[/tex]   [tex]d = 8[/tex]  

So:

[tex]AB = (c - a)x + (d - b)y[/tex]

[tex]AB = (4 - 2)x + (8 - 9)y[/tex]

[tex]AB = 2x -y[/tex]

So, we have:

[tex]AB = 2x -y[/tex]

[tex]CD = 4x - 2y[/tex]

Calculate the slope (m) of [tex]AB\ and\ CD[/tex]

[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]

For AB

[tex]m_1 = \frac{-1}{2}[/tex]

[tex]m_1 = -\frac{1}{2}[/tex]

For CD

[tex]m_2 = \frac{-2}{4}[/tex]

[tex]m_2 = \frac{-1}{2}[/tex]

[tex]m_2 = -\frac{1}{2}[/tex]

By comparison:

[tex]m_1 = m_2 = -\frac{1}{2}[/tex]

This implies that both lines have the same slope

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Answer:

The answer is all real numbers

Answer:b

Step-by-step explanation:

Answer:

C $2.25

Step-by-step explanation:

$11.25÷5=$2.25

Answer:

-1

Step-by-step explanation:

The coefficient is the number directly next to a given variable (typically 1 if there is no given number).

In this case, note the variable: -x

As stated above, the number is 1 if there is no number given. However, note that there is a negative sign, therefore, your coefficient is -1

-1 is your answer.

~

The true statement is The volume of the larger cylinder is 8 times the volume of the smaller cylinder.

The correct option is (C)

The volume of cylinder is, V=  πr²h.

Volume of large cylinder,

= πr²h

= πd²(2h)

= 2hπd²

Volume of large cylinder,

= πr²h

= π(d/2)²(h)

= πd²h/4

= 2πd²h/8

Hence, The volume of the larger cylinder is 8 times the volume of the smaller cylinder.

Learn more about volume of cylinder here:

https://brainly.com/question/16788902

#SPJ1

Answer:

I cannot help you because I didnot know the answer

Answer:

483

Step-by-step explanation:

Answer:

483

Step-by-step explanation:

subtract 492 by 9 and it is =483

Answer:

The use of the addition property of equality is sound, and the answer is correct

Step-by-step explanation:

Addition Property of Equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Hope this helps; have a great day!

Answer:

should be $133.86

Step-by-step explanation:

46.56 divided by 8 to get money per hour, then multiplied by 23 to get money earned after 23 hours

Answer:

11 times.

Step-by-step explanation:

Can you please give me a brainlist

Answer:

900 yards

Step-by-step explanation:

540/3=180

180x5=900

Answer:

24.6

Step-by-step explanation:

Answer:24.6

Step-by-step explanation:

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

Answer:

B. ∆XYZ, in which m∠X = 10° and m∠Z = 25°

Step-by-step explanation:

∆ABC

m∠A = 10°

m∠B = 145°

m∠C = 180° - (m∠A + m∠B )

= 180° - (10° + 145°)

= 180° - 155°

m∠C = 25°

∆XYZ

m∠X = 10°

m∠Z = 25°

m∠Y = 180° - (m∠X + m∠Z)

= 180° - (10° + 25°)

= 180° - 35°

m∠Y = 145°

so,

m∠A = m∠X = 10°

m∠C = m∠Z = 25°

m∠B = m∠Y = 145°

I'm just ordinary human, CMIIW

Answer:

HI! The answer should be around 340.194 grams

Step-by-step explanation:

Calculated it

Answer:

340.194 grams inside the can of orange juice.

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

If the triangle is isosceles, it means that 2 of its sides are equal in length, therefore its perimeter is equal to

[tex](2x - 3) + (2x - 3) + (x)[/tex]

Adding similar terms, and recalling that the perimeter is equal to 34, we get

[tex]5x - 6 = 34 \\ 5x = 40 \\ x = 8[/tex]

Answer:

James finished studying at 5:35pm

Step-by-step explanation:

3:20+2:15=3:35

20+15=35

3+2=5

Answer:

C And D!

Step-by-step explanation:

Answer: I think it’s A (x + 4 = 14) I’m not sure though

Answer:

17x^2

Step-by-step explanation:

8x^2-(-9x^2)= 17x^2

+8x-8x

Answer:

see below

Step-by-step explanation:

let x = big number

let you = small number

x + y = 215-------> (1)

x - y = 137 ------>(2)

(1)

x = 215 - y ----->(1)

substitute 1 into 2

215 - y -y = 137

-2 y = 78

y = 39

substitute y = 39 into (1)

x = 215 - (39)

x = 176

thus the numbers are 176 & 39

hope this helps

please mark it brainliest

it took me quite long to do this

9514 1404 393

Answer:

  80

Step-by-step explanation:

If N is the total number of coins, then the number of quarters is ...

  36 = 0.45×N

 36/0.45 = N = 80

You have 80 coins you your collection.

Answer:

you already have x solved for so you plug 5-3y into the x in -6x and you get -6(5-3y)+5y=16

-30+18y+5y=16

-30+23y=16

23y=46

y=2

x=5-3(2)

x=5-6

x=-1

Step-by-step explanation: