find the distance for d

Answer:

#4 is option one 18 miles

Step-by-step explanation:

Objective: Solve systems of equations with three variables using addition/elimination.

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve using either method. This is shown

in the following examples.

Example 1.

3x +2y − z = − 1

− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations

5x +2y − z = 3

1

3x +2y − z = − 1 Using the first two equations,

− 2x − 2y +3z = 5 Add the first two equations

(A) x +2z = 4 This is equation (A), our first equation

− 2x − 2y +3z = 5 Using the second two equations

5x +2y − z = 3 Add the second two equations

(B) 3x +2z = 8 This is equation (B), our second equation

(A) x +2z = 4 Using (A) and (B) we will solve this system.

(B) 3x +2z = 8 We will solve by addition

− 1(x +2z) =(4)( − 1) Multiply (A) by − 1

− x − 2z = − 4

− x − 2z = − 4 Add to the second equation, unchanged

3x +2z = 8

2x = 4 Solve, divide by 2

2 2

x = 2 We now have x! Plug this into either(A) or(B)

(2) +2z = 4 We plug it into (A),solve this equation,subtract 2

− 2 − 2

2z = 2 Divide by 2

2 2

z = 1 We now have z! Plug this and x into any original equation

3(2) +2y − (1)= − 1 We use the first, multiply 3(2) =6 and combine with − 1

2y + 5= − 1 Solve,subtract 5

− 5 − 5

2y = − 6 Divide by 2

2 2

y = − 3 We now have y!

(2, − 3, 1) Our Solution

As we are solving for x, y, and z we will have an ordered triplet (x, y, z)

Answer:

Rs 20000

Step-by-step explanation:

Let the sum is x.

The rate of interest, r=20%=0.2

Time, t=2 years.

Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]

The value of n when compounded annually, n=1

So, the total amount,

[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]

The compound interest when compounded annually,

[tex]I_1 =x(1.2)^2-x[/tex]

The value of n when compounded semi-annually, n=2

So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]

The compound interest when compounded semi-annually,

[tex]I_2 =x(1.1)^4-x[/tex]

As the difference between the annual and semi-annual compound interest on  x amount of money is Rs 482, so

[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]

x=20000

Hence, the sum is Rs 20000.

Answer:

she took 13 classes that were worth 3 credits

Step-by-step explanation:

well we know that some of the classes are worth 3 and some are worth 4 and that all of these together = 59 so your first equation would be

3x+4y=59

x  would be the number of classes worth 3 credits and y would be the number of classes worth 4 credits.

then it says the total number of classes that they took was 18 so we know that

x + y =18.

you want to solve for the number of 3 credit classes so lets go ahead and get rid of the y values. SO you need you multiply the x+y equation by 4

4x+4y=72

then subtract 4x+4y=72  from 3x+4y=59 to get

-x = -13

and then x is a negative so you need to divide -1 from both sides and you get that she took 13 classes that were worth 3 credits.

Answer:

-3

Explanation :

slope intercept form

y=mx+b

y= -3x+4

slope is also m

b is the y-intercept

Answer:

4 = 256.

Step-by-step explanation:

The formula used in each equation is 4x = Y. So, 41 = 4, 42 = 16, 43 = 64, and 44 = 256.

Answer:

[tex]\huge\boxed{\sf 256}[/tex]

Step-by-step explanation:

The equation used for this unfinished equation is:

[tex]\sf 4^{x} = y\\\\Where \ x \ is \ L.H.S \ and \ y \ is \ R.H.S[/tex]

So,

If x = 1, y = 4

[tex]\sf 4^1 = 4[/tex]

If x = 4 , y = 256

[tex]\sf 4^4 = 256[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The area of Marlien's living room is 420 square ft

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

[tex]2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2[/tex]

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft

Answer:

x-1/x

Step-by-step explanation:

Answer:

D. 24/35

Step-by-step explanation:

Step one:

Given

Sample space

14 silver keys,

7 black keys,

10 copper keys, and

4 painted keys of various colors

Sample size= 14+7+10+4= 35

in probability "or" means that we need to add events.

Hence, the probability that the key that is drawn is silver

= 14/35

the probability that the key that is drawn is copper

=10/35

Step two:

The probability that the key that is drawn is silver or copper

14/35+10/35

=14+10/35

24/35

Answer:

B. 36 C. 180 D. 240 E. 1,656

Step-by-step explanation:

Partial product is the multiplication of individual digit of a number in turn with each digit of the others where each digit maintains its place.

Using distributive property to multiply 24 × 69 to determine our partial products:

i.e.

24 × 69 = 24 × (60 + 9)

= (24 × 60) + (24 × 9)

= 60 (20 + 4) + 9(20 + 4)

So; we can have:

= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)

= 1200 + 240 + 180 + 36  

= 1656

Answer:

3:1 2:3 1:4 4:2

Step-by-step explanation:

I had the same one on my quiz

[tex]( {p}^{6} {q}^{ \frac{3}{2} } {)}^{ \frac{1}{3} } \\ = ( {p}^{6 \times \frac{1}{3} } ).( {q}^{ \frac{3}{2} \times \frac{1}{3} } ) \\ = ( {p}^{2} ).( {q}^{ \frac{1}{2} } ) \\ = {p}^{2} {q}^{ \frac{1}{2} } [/tex]

12.5 x 64 /100  = 8

Therefore, 12.5% of 64 is 8 (or B).

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. But I would show you how to solve the problem.

Two events A and B are said to be independent if the occurrence of event A does not affect the occurrence of event B and vice versa. P(A and B) = P(A) * P(B).

Two events A and B are said to be mutually exclusive if event A and event B cannot occur at the same time. P(A and B) = 0.

Two events A and B are said to be complementary when event A occurs if and only if event B does not occur and vice versa.

Step-by-step explanation:

D is the correct answer of this question ....

Answer:

24.33 feet

Step-by-step explanation:

The flower bed, the ladder and the house form a right angled triangle where the length of the ladder is the hypotenuse side.

Let L = length of ladder, H = height of house = 24 feet and l = length of flower bed = 4 feet.

Using Pythagoras' theorem,

L² = H² + l²

So, L = √(H² + l²)

substituting the values of the variables, we have

L = √[(24 ft)² + (4 ft)²]

L = √[576 ft² + 16 ft²]

L = √[592 ft²]

L = 24.33 ft

The ladder must be at least 24.33 feet long to reach the top and be out of the flower bed

Answer:

1 - i

Step-by-step explanation:

[tex] {i}^{19} + {i}^{20} \\ \\ = {i}^{18} .i + {i}^{20} \\ \\ = {( {i}^{2} )}^{9} .i + {( {i}^{2} )}^{10} \\ \\ = {( - 1)}^{9} .i + {( - 1)}^{10} \ \\ ( \because \: {i}^{2} = - 1) \\ \\ ( - 1).i + 1 \\ \\ = - i + 1 \\ \\ = 1 - i[/tex]

Answer:

6

Step-by-step explanation:

Think of the equation as 3/4 x 8/1.  Multiply across to get 24/4 which can be simplified to the number 6.

Answer:

x=5

Step-by-step explanation:

3.8x5=19 so 19 divided by 5 = 3.8

Hello! Sorry this is a little late, but hopefully it can help others who visit this question!

I believe the answers would be "approaches y = 0" and "increases without bond".

I can confirm these answers are 100% correct!

Hope this helped :)

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

Answer:

343 cubic feet

Step-by-step explanation:

A company rents a storage unit. The unit is in the shape of a cube.

The formula V=s^3 can be used to find the volume of a cube.

Using the formula, determine the volume of the storage unit if the side length (s) is 7 feet.

From the above question

Side length (s) = 7 feet

Formula for the cube = V = s³

Volume of the cube(storage unit) = (7 feet)³

= 343 cubic feet

Answer:

A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Hope this helped! :}

Answer:

i think its 1.99

Step-by-step explanation:

Answer: $1.99

Step-by-step explanation:

One gallon is 4 quarts. 23.88/3 is 7.96. Each gallon is $7.96. Since there are 4 quarts in a gallon, 7.96/4 is 1.99. Each quart is $1.99

Answer:

question 1 asks about the volume  and question 2 asks about the surface area.. I can't see all of question 3... soo I'll give  you the first two only

Step-by-step explanation:

this seems like it would be easier to figure out.. if we did the volume of the block that would fit around the odd shape of the foam soooo

the block would be 10 inches tall by 36 inches long by 20 inches in depth

use a calculator.. 10 x 36  x 20 = 7200 [tex]inches^{3}[/tex] is  the volume... of just a block that would fit perfectly over that foam structure.. now subtract the two pieces that are not part of the block.. the long rectangle and the triangle off the end.

the first one to subtract is a block that is 8  x 5 x 20= 800

the second piece to subtract is the triagle block that is 18 x 8  so the formula for the area of a triangle is 1/2 base * height = 1/2 (18*8)= 72

7200-800-72=[tex]inches^{3}[/tex]  is the total volume of the shape

the surface area is just add up each flat area of the shape

side = 36x10 - 8x5 - 1/2(8x20)

side = 240

5x20 + 8x20 + 5x20 + 10x20 + 20x20 + 2x20 +36x20 + 2(side)= 2200 [tex]inches^{2}[/tex]

Answer:

Sin0= y/r

X= -4 and r= 9 (radius is also the hypotenuse)

In quadrant II y is positive

X^2 +y^2 = r^2

-4^2 + y^2 = 9^2

16 + y^2 = 81

Y^2 = 81-16

Y^2 = 65

Y= sqrt65

Sin0= sqrt65/9

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Substitution with X= 9 and you receive that only 9 works in both equation