Solve the system of equations by elimination

The total area of the figure is; 32 millimeters sq.

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

We have been given that a parallelogram has a base is 6 millimeters and a height is 4 millimeters

The area of a parallelogram = Base x Height

= 6 x 4

Area = 24 millimeters sq.

Similarly, The area of the triangle = 1/2 x b x h

= 1/2 x 8 x 2

= 8 millimeters sq.

The total area of the figure is;

Total = area of the triangle + area of a parallelogram

Total = 24 + 8 = 32

Hence, the total area of the figure is; 32 millimeters sq.

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Based on the chemical equations given, the balanced equation would be d. D.

In Chemistry, a balanced equation is one that has the same number of atoms on the left side of the equation, as on the right side of the equation.

The balanced equation is therefore:

2KCIO₃ -->2 KCI + 3 O₂

This is because there are 2 KCI atoms and 6 Oxygen atoms on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.

In conclusion, option D is correct.

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The dimension of the flower garden, which located in the middle of the backyard surrounded by a strip of grass, is 26 m length and 16 m width.

The situation can be depicted on the attached picture.

We need to translate the word problem into algebraic expressions.

Let x be the width of the grass strip.

Let A be the area of the grass strip.

Then,

A = 2 . 22x + 2 . (32 - 2x)x

288 = 2 . 22x + 2 . (32 - 2x)x  (divide by 2)

144 = 22x + x(32 - 2x) (divide by 2)

72 = 11x + x(16 - x)

72 = 27x - x²

x² - 27x + 72 = 0

This is a quadratic equation. One of the methods to solve a quadratic equation is by factorization.

Factorize the left side:

(x - 3) (x - 24) = 0

x = 3  or  x = 24

The length of the flower garden  = 32 - 2x

The width of the flower garden  = 22 - 2x

Substitute x = 3:

The length of the flower garden  = 32 - 2 . 3 = 32 - 6 = 26 m

The width of the flower garden  = 22 - 2 . 3 = 16 m

Note that if we substitute x = 24, it will results in negative values while the dimension is always positive.

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In serving punch to guests at the party, Vinny can fill 9 guests' cups to the top based on this unit rate.

The unit rate is the ratio of a variable to another.

The whole number here is the total gallons of punch available to serve the guests.

The unit rate is the volume that each guest's cup can hold or contain.

This implies that the ratio is 5/64: 3/4

The total number of gallons of punch = 3/4 or 0.75 gallons.

The volume or capacity of each guest's cup = 5/64 gallons or 0.078125.

The number of guests' cups to fill to the brim = 9.6 cups (0.75/0.078125)

= 9 guests' cups.

Thus, Vinny can fill 9 guests' cups to the brim, using the given ratio or unit rate.

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The length of the rectangle is 10, the width is 2.5 and the perimeter is 25

Let the width of the rectangle be x

The length of rectangle = 2x + 5

The overall length of the outline determines a rectangle's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter.

Perimeter = 10 times of width

= 10*x

= 10x

The formula for the perimeter of a rectangle is given:

Perimeter = 2(Length+Breadth)

10x = 2(x + 2x+5)

10x = 2(3x+5)

10x = 6x + 10

4x = 10

x=2.5

Length = 10

Width = 2.5

Perimeter = 25

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Answer:

3.94*10^7

Step-by-step explanation:

Answer:

3.94 * 10^7

Step-by-step explanation:

:]

Answer:

0

Step-by-step explanation:

Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1 Therefore, the standard form for y = 0 is: 0x + 1y = 0

Answer:  [tex]m = 7.3\pi[/tex]

I multiplied both sides by pi to isolate m.

Answer:

6 since it occurs the most times

From following steps, she can add relevant pictures to her slide.

It is a presentation-based program that employs graphics, movies, etc. to enhance the interactivity and appeal of a presentation. A saved PowerPoint presentation has the ".ppt" file extension. PPT is another name for a PowerPoint presentation that includes slides and other elements. Create presentations from scratch or using a template with PowerPoint on your PC, Mac, or mobile device. Include text, pictures, artwork, and videos. Using PowerPoint Designer, pick a polished layout. Cinematic motion, transitions, and animation should be added.

Given Data

Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar.

From following steps, she can add relevant pictures to her slide.

Open the slide to which you wish to add a photograph.

Point to Picture in the Insert menu, and then click Photo Browser.

Navigate to the image you want to insert in the dialogue box that appears, click it to pick it.

Then drag it to the slide.

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Answer:

3x2x2x3

Step-by-step explanation:

3x2x2x3= 36

I hope that was helpful!

My pleasure to help!!

Answer:

55 minutes

Step-by-step explanation:

sharat's train arrived on time (11.15) but Nitin's was after and 10 mins later it'd be 11.25

Answer:

Positive, so the answer would be y=4/2 or 2. y=2x-4

Step-by-step explanation:

Slope formula y=mx+b

The mx is the rise/ over run

The b is the y-intercept

You can check in the end by checking so to see if the rise over the run is correct

Also, you can check the b by looking at the y-intercept, which is -4

Hope this helps!

The coordinates along the directed line segment is (37/7, 11/7)

The points are given as:

A  = (3, -3)

B = (7, 5)

The ratio on the segment can be represented as;

m : n = 4 : 3

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

Point  = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)

Evaluate

Point  = 1/7 * (37, 11)

Evaluate the products

Point  = (37/7, 11/7)

Hence, the coordinates of the point is (37/7, 11/7)

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The equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems will be 2x + 4y = 100.

An equation is used to show the relationship between the variables that are given.

In this case, the test in math class has problems worth 2 points and problems worth 4 points and altogether the test has 100 points.

Let x represent the number of 2-point problems. Let y represent the number of 4-point problems.

The appropriate equation will be:

2x + 4y = 100

This illustrates the equation

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Answer:

:]

Step-by-step explanation:

[tex]-2\leq x\leq 2[/tex]

Answer:

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the function

Answer:

The larger number is 68 and the small number is 25

Step-by-step explanation:

Large number y

small number is x

y=2x+18

x+y=93

It would take 35 minutes to drive 1 km at a speed of 1.71 km/h.

Speed is the ratio of distance traveled in a given time.  Speed is given by distance/time.

The time can be computed by dividing distance by speed.

This implies that time is the quotient of distance and speed.

The total distance drove = 1 km

The driving speed = 1.71 km/h

Time = Distance/Speed

= 1/1.71

= 0.58 hours

= 0.58 x 60 seconds

= 35 minutes 5 seconds

Thus, to travel 1 kilometer at the speed of 1/71 kilometers per hour would take 35 minutes.

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The acceleration require for the body to not explode will be 0.2941[tex] m/s^2 [/tex]

The finish line as given is 253m away so that distance to be covered will be 253m.

Also we had started to run from rest so that initial velocity will be 0m/s.

We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.

Now average velocity will be the sum of initial velocity and final velocity divided by 2.

∴ Average velocity  =  (initial velocity + final velocity) / 2.

∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = 26.6m/s

As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.

∴ Average time = distance / average speed

∴ Average time = 253 / 26.6 = 9.51s.

Now as we know by the formula to calculate acceleration we need the average velocity, average time and we have both of them.

∴ Acceleration = [tex] \frac{average\ velocity}{(average\ time)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{(9.51)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{90.44}[/tex]

∴ Acceleration = 0.2941[tex] m/s^2 [/tex]

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The percentage of members that voted is 70%.

The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election.

Therefore, the percentage of the members that voted can be calculated as follows;

percentage that voted = number of people that voted / total number members × 100

Therefore,

number of people that voted = 42

total number members = 60

Hence,

percentage that voted = 42 / 60 ×100

percentage that voted = 4200 / 60

Therefore,

percentage that voted = 70%

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Answer:

x = 218.7

Step-by-step explanation:

To solve for x, we multiply .30 by 729. Once multiplied, we get the answer 218.7. Therefore, x = .30(729) is the same as x = 218.7.

Answer:

40

Step-by-step explanation:

Given :
32=0.8x
( x is unknown number )

x=32/.8

x=40

The answer will de 10 bacterias

Answer: 1024

Step-by-step explanation: Since there's only 1 bacteria at first, we can just do 2^x. x being the amount of time divided by the amount of time between each time it doubles. Since the bacteria doubles every 2 seconds, and 20/2 = 10 we get 2^10 which is 1024.

The probability for the number of fish the bear caught is 0.289

Given,

Number of fish the bear tries to catch during day = 40

Number of attempts made by the bear at night = 50

Percentage of successful attempts during day = 20%

Percentage of successful attempts at night = 36%

Number of fish the bear caught during day = 40 × (20/100) = 4 × 2 = 8 fish

Number of fish the bear caught at night = 50 × (36/100) = 36/2 = 18 fish

Total number of fish the bear caught = 8 + 18 = 26 fish

Now,

Probability for the number of fish the bear caught:

Probability = Number of fish caught / Total attempts

Probability = 26 / (40 + 50)

Probability = 26 / 90

Probability = 0.289

Therefore,

The probability for the number of fish the bear caught is 0.289

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Answer:

y = -3

Step-by-step explanation:

-53 = 8y + 4y - 17

combine y terms on right side:

-53 = 12y - 17

add 17 to both sides:

-53 + 17 = 12y - 17 + 17

-36 = 12y

divide both sides by 12:

-36/12 = 12y/12

y = -3

Answer:

$390,000

Explanation

To do this, we will use the compound interest formula;

A = P(1+r)^t

P = 275000

rate r = 6%

Time t = 30years

Substitute

A = 275000(1+0.06)^30

A = 275000(1.06)^30

A = 275000(5.7435)

A = 1,579,460.07

For the rate of 5%

A = 275000(1+0.05)^30

A = 275000(1.05)^30

A = 275000(4.3219)

A = 1,188,534.15

Takeing their difference;

Difference = 1,579,460.07-1,188,534.15

Difference =390,925.92

Hence the approximate difference in his ending balance of the actual rate is 5% instead of six ​is about $390,000

Step-by-step explanation:

First is

5(1-1)+10= 5×0+10= 0+10 = 10

2nd is

5(2-1)+10=5× 1+10= 5+10=15

3rd= 5(3-1)+10= 5×2+10=10+10=20

4th=5(4-1)+10=5×3+10=15+10=25

I hope it will be helpful for you.

Answer:

Step-by-step explanation:

2

Combine multiplied terms into a single fraction

3

Find common denominator

4

Combine fractions with common denominator

5

Multiply the numbers

SOLUTION

Step 1 : We need to recognize the value of x in 5 places means 5 x

and the value of 1 in 6 times means 6,

so we have that: 5 x + 6 = 1 .

Step 2 : We need the linear equation: 5 x + 6 = 1

collecting like terms, we have that:

5 x = 1 - 6

5 x = - 5

Divide both sides by 5 , we have that:

x = - 1

CONCLUSION : The value of x = -1 ( OPTION B )

Answer:

1/9

Step-by-step explanation:

There is 1/3 gallon of water in a 3 gallon container. The fraction of the container that is filled is  1/9

(1/3 of a gallon divided by 3 gallons equals 1/9)