10+x=5(1/5x+2) Equations with infinite and no solution

Answers

Answer 1

Answer:

Infinitely many solutions.

Step-by-step explanation:

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

10+x=x+10

infinitely many solutions

Answer 2
Final answer:

The equation 10+x=5(1/5x+2) has an infinite number of solutions.

Explanation:

To solve the equation 10+x=5(1/5x+2), we need to simplify both sides and then isolate the variable x. Let's start by distributing the 5 to the terms inside the parentheses.

10+x = 5(1/5x+2) becomes:

10+x = 1x+10

Next, we can combine like terms on each side of the equation. Subtracting x from both sides:

10 = x+10-x

The x terms cancel out, leaving us with:

10 = 10

This equation is always true, which means that there are an infinite number of solutions.

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The complete Question is given below

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

Determine whether it has one solution, an infinite number of solution, or no solutions


Related Questions

7. A triangle has sides with lengths of 10 metres,
16 metres and 20 metres. Is it a right angled
triangle? Explain your reasoning.

Answers

Answer:

It is not a right triangle.

Step-by-step explanation:

We can prove this by Pythagorean theorem because it represents to a right triangle.

Pythagorean theorem:

a² + b² = c²

Now substitute the values.

Note: the longest side will represent c

So,

a = 10 m

b = 16 m

c = 20 m

10² + 16² = 20²

The objective here is to make them equal.

100 + 256 = 400

356 ≠ 400

They are not equal so it is not considered a right triangle.

Final answer:

By applying the Pythagorean theorem to the triangle with side lengths of 10 metres,16 metres, and 20 metres, we can verify that it is a right-angled triangle due to the equality 10² + 16² = 20².

Explanation:

In Mathematics, specifically in Geometry, we can determine if a triangle is a right triangle using the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This formula is expressed as a² + b² = c² where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Applying the Pythagorean theorem to the triangle with side lengths of 10 metres,16 metres, and 20 metres, we set 20 metres (the largest measurement) as c (the hypotenuse) and the other two measurements as a and b. Thus, the equation becomes 10² + 16² = 20². After calculating, we find that 100 + 256 does indeed equal 400. Because these values are equal, the triangle is a right angled triangle.

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4. If 90 is 30% of a number, what is 200% of the number?

Answers

Answer:

60

Step-by-step explanation:

90=30%x

x=30

200%x=2x=60

Answer:

600

Step-by-step explanation:

30%=0.3

0.3x=90

x=90/0.3=300

200%=2

2(300)=600

Given the lines AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If

necessary, use the key to represent a fraction bar. Do not put spaces in your answer

Answers

Answer:

[tex]slope =\frac{5}{4}[/tex]

Step-by-step explanation:

A(0,-1)  B(5,3) is missing in the question

The points for A  and B are missing. A(0,-1)  B(5,3)

To find the slope of line AB using the formula

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

A(0,-1) is (x1,y1)

B(5,3) is (x2,y2). plug in the values in the formula

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

[tex]slope =\frac{5-0}{3+1}[/tex]

[tex]slope =\frac{5}{4}[/tex]

Final answer:

To calculate the slope of line CD, you need two points on the line. The slope is the 'rise over run' between these points, calculated with the formula (y2 - y1) / (x2 - x1), but coordinates for line CD were not provided.

Explanation:

To determine the slope of line CD, you need two points on line CD. The slope is found by calculating the rise over run between two points on the line. According to the information provided, we can use the general process for calculating slope which entails subtracting the y-coordinate of the starting point from the y-coordinate of the ending point (change in y), and dividing that by the subtraction of the x-coordinate of the starting point from the x-coordinate of the ending point (change in x). If we had the actual coordinates for line CD, the formula would look like this:

slope = (y2 - y1) / (x2 - x1)

However, specific coordinates for line CD are not provided in the question. To accurately calculate the slope, you would need to refer to the graph or data given for line CD and choose two distinct points to use in the slope formula.

The sum of two numbers is 50. One number is 112 less than the other. Find the numbers.

Answers

Answer:

81 and -31

Step-by-step explanation:

x + (x - 112) = 50

2x - 112 = 50

2x = 162

x = 81

the other number is x-112 = 81 - 112 = -31

Final answer:

To find the two numbers, set up a system of equations based on the given information. Solve the system of equations to find the values of the two numbers, which are -31 and 81.

Explanation:

To find the two numbers, we can set up a system of equations based on the given information.

Let's assume one number is x, and the other number is y.

According to the problem, the sum of the two numbers is 50, so we can write the equation:

x + y = 50

We are also told that one number is 112 less than the other, so we can write another equation:

x = y - 112

Now we can solve this system of equations to find the values of x and y.

Substituting the value of x from the second equation into the first equation, we have:

(y - 112) + y = 50

Combining like terms, we get: 2y - 112 = 50

Adding 112 to both sides of the equation, we have: 2y = 162

Dividing both sides by 2, we get: y = 81

Substituting this value of y into the second equation, we have: x = 81 - 112

Simplifying, we get: x = -31

Therefore, the two numbers are -31 and 81.

What is the value of x?

A.) -9
B.) -10
C.) 10
D.) -12​

Answers

Answer:

A.) -9

Step-by-step explanation:

it is observed that triangles ABL and KML are similar triangles

hence the following ratios are valid:

LA / LK = LB/LM = AB/KM

we can see that LA/LK = LB/LM = 1/2

hence the above ratio becomes

1/2 = AB/KM  (rearranging)

KM = 2AB

We are given that KM = (x + 21) and AB = (x + 15)

hence

KM = 2AB

(x + 21) = 2 (x + 15)

x + 21 = 2x + 30

x - 2x = 30 - 21

-x = 9

x = -9

Andrea earns $32.25 a day After 9 days about how much will she have earned?

Answers

Answer:

$290.25

Step-by-step explanation:

32.25 x 9 = 290.25

Answer:

$290.25

Step-by-step explanation:

You just need to multiply the money and the days together to get your answer

$32.26 times 9 days

. it will cost 6500 to rent trucks plus 225 for each ton of sugar transported. the total cost, C (in dollars), for transporting n tons is given by the following function ​

Answers

Answer:

C = 6500 + 225n

Step-by-step explanation:

It will cost $6500 to rent a truck plus $225 for each ton of sugar transported.

So, in the equation which relates the total cost for transporting sugar in a truck, $6500 will be the initial value and $225 will be the rate of transporting sugar per ton.

Hence, for transporting n tons of sugar, the total cost C in dollars is given by the following equation  

C = 6500 + 225n (Answer)

PLEASE HELP ME ITS ALREADY LATE AND ITS BRINGING MY GRADE WAY DOWN PLEASE HELP ME PLEASE!!!!
The following graph is of an exponential function of the form y=a*bx.
What values of a and b would make this equation work?
a=
b=

Answers

Answer:

I think a=15 and b=9

Step-by-step explanation:

I think that's it could be wrong

there we go ;)

A rectangle box with a square base and no top needs to be made using 300ft^2 of material. Find the dimensions of the box with the greatest volume. Find the maximum volume.

Answers

The dimensions of the box are 10 ft and 5 ft

The maximum volume is 500 ft³

Step-by-step explanation:

A rectangle box with

A square base and no top It needs to be made using 300 ft² of materialIt has greatest volume

Surface area of a box without top (SA) = perimeter of base × height + area of the base

Volume of a box (V) = base area × height

Assume that the length of the side of the square base is x and the height of the box is y

∵ It needs to be made using 300 ft² of material

∴ The surface area of the box is 300 ft²

∵ Its base is a square of side length x ft

∴ Perimeter of the base = 4 × x = 4 x

∴ Area of the base = x²

∵ The height of the box = y ft

∵ SA = perimeter of base × height + area of the base

∵ SA = (4x)(y) + x²

∴ SA = 4xy + x²

∵ SA of the box = 300 ft²

- Equate the two expressions of SA

∴ 4xy + x² = 300

Now let us find y in terms of x

- Subtract x² from both sides

∴ 4xy = 300 - x²

- Divide each term by 4x to find y

∴ [tex]y=\frac{75}{x}-\frac{1}{4}x[/tex]

∵ V = area of the base × height

∴ V = x² × y = x²y

- Substitute y by the equation of it above

∴ [tex]V=x^{2}(\frac{75}{x}-\frac{1}{4}x)[/tex]

∴ [tex]V=75x-\frac{1}{4}x^{3}[/tex]

∵ The volume of the box is greatest

- That means differentiate V and equate it by 0

∵ [tex]\frac{dV}{dx}=75-\frac{3}{4}x^{2}[/tex]

∵ [tex]\frac{dV}{dx}=0[/tex] ⇒ greatest volume

∴ [tex]75-\frac{3}{4}x^{2}=0[/tex]

- Subtract 75 from both sides

∴ [tex]-\frac{3}{4}x^{2}=-75[/tex]

- Divide both sides by [tex]-\frac{3}{4}[/tex]

∴ x² = 100

- Take √ for both sides

x = 10

Substitute the value of x in the equation of y

∵ [tex]y=\frac{75}{10}-\frac{1}{4}(10)[/tex]

y = 5

The dimensions of the box are 10 ft and 5 ft

∵ [tex]V=75x-\frac{1}{4}x^{3}[/tex]

∵ x = 10

∴ [tex]V=75(10)-\frac{1}{4}(10)^{3}[/tex]

∴ [tex]V=750-\frac{1}{4}(1000)[/tex]

∴ V = 750 - 250

∴ V = 500 ft³

The maximum volume is 500 ft³

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On Carol's morning commute, her car tire was punctured by a nail. Carol was able to drive slowly to the garage. Before the tire could be repaired, the air remaining in the tire had to be let out. More than likely, between which points on the graph was this occurring? A) between points D and E B) between points C and D C) between points B and C D) between points A and B

Answers

Answer:

It's C and D

Step-by-step explanation:

The points on the graph in which this was occurring is between points C and D.

What is a Graph?

This refers to the representation of data on an x-y plane showing the various cardinal points.

Hence, based on the fact that Carol's car is punctured by a nail and she had to drive slowly and then let off all the air in the tire, these actions most likely occurred between points C and D based on the fact that there is a change in speed.

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What does -3 2/3- (1 1/6)

Answers

Answer:

-29/6

Step-by-step explanation:

1 1/6=7/6

-3 2/3=-11/3

-11/3-7/6

-22/6-7/6=-29/6

Please help me solve 3x+x=2x+2. Can you please break down step by step

Answers

Answer:x=1

Step-by-step explanation:

fist add like- terms in either side of the equation:

4x=2x+2.

next, you want to get both the X's on the same side of the equation. this means you need to subtract 2x from the left side of the equation and bring it to the right side of the equation. this means you have to subtract 2x from 4x. because what you do on one side of the equation you have to do on the other.

2x=2

next divide each side of the equation to get x alone.

x=1.

First step combine like terms so you add 3X plus X second step minus 2X on both sides third step divide 2X by two and 2 by 2 then you have your answer which is X equals one

Which set of values could be from a direct proportion?

Answers

Answer:

The second option

Step-by-step explanation:

The second option because it is the one in which if you multiply f4 to the values of x, you would get y.

And that is why it is the second option.

What are the first 10 multiples ( skip counting by that number ) for 5 and 6. I need this answer ASAP.

Answers

Answer:

first 10 of 5

5 10 15 20 25 30 35 40 45 50

First 10 of 6

6 12 18 24 30 36 42 48 54 60

Step-by-step explanation:

Just add 5 to 5 and that is your next multiple then keep going 10 time and same thing for 6.

2. Find the side length of a cube whose volume is 448 cm3. Show all your work and write the final answer in its
simplest form.

Answers

Answer:

The final answer is 4∛7 cm.

Step-by-step explanation:

Given:

Volume of cube is 448 cm³.

Now, to find the length side(a) of cube.

Putting the formula of volume(v) of cube to get the side:

[tex]V = a^{3}[/tex]

[tex]448= a^{3}[/tex]

[tex]\sqrt[3]{448} = a[/tex]

[tex]4\times 4\times 4\times 7 = a[/tex]

[tex]4\sqrt[3]{7} = a[/tex]

The length side of a cube = 4∛7 cm.

Therefore, the final answer is 4∛7 cm.

Write the following comparison as a ratio reduced to lowest terms.

37 nickels to 23 dimes

Answers

Answer:

37 : 46

Step-by-step explanation:

I nickel is equivalent to 0.05 dollars.

So, 37 nickels are equivalent to (0.05 × 37) = 1.85 dollars.

Again, we can write 1 dime is equal to 0.1 dollars.

So, 23 dimes are equivalent to (23 × 0.1) = 2.3 dollars.

Therefore, to compare 37 nickels to 23 dimes as a ratio reduced to lowest term will be 1.85 : 2.3 = 185 : 230 = 37 : 46 (Answer)

Final answer:

To write the comparison of 37 nickels to 23 dimes as a ratio in lowest terms, you convert the value of nickels and dimes to cents and simplify the ratio value-wise, resulting in a simplified ratio of 37:46.

Explanation:

The student is asking to express the comparison of 37 nickels to 23 dimes as a ratio reduced to lowest terms. Since both nickels and dimes are types of coins, it helps to understand that their value does not directly translate to a quantity ratio but rather a value ratio. A nickel is worth 5 cents, and a dime is worth 10 cents. Therefore, the value ratio of nickels to dimes is 5 cents per nickel to 10 cents per dime.

To find the simplified ratio, we can represent the comparison of the value of 37 nickels to 23 dimes as:

(37 nickels × 5 cents/nickel) to (23 dimes × 10 cents/dime)185 cents to 230 cents185/230

This ratio can be reduced by dividing both terms by the greatest common divisor of 185 and 230, which is 5:

185 ÷ 5 = 37230 ÷ 5 = 46

So, the simplified ratio is 37:46.

what's the standard form of the equation y=7/6x + 5

Answers

Answer:

-7/6x+y=5

Step-by-step explanation:

y=7/6x+5

y-7/6x=5

-7/6x+y=5

find the slope that is parallel to the pair of points.
(4,-2),(16,0)

Answers

Essentially, the slope that is parallel to the pair is the the slope of the pair of points.

Using the formula [tex]\frac{y_1-y_2}{x_1-x_2}[/tex], the answer is [tex]\frac{-2}{-12}=\frac{1}{6}[/tex]

Fred decides that he would rather buy the new refrigerator. How much more will he pay for the new refrigerator than he would for the old model? Consider repairs as part of the cost of the old model.




A. $51.00


B. $108.05


C. $65.00


D. $415.00

Answers

B. 108.05 because $200 for the old fridge with the added on $350 is $550 the to find the price of the new fridge you would take your percent and turn it into a decimal(divide by 100) and multiply the decimal by the original total $615 and you will get $43.05 you add $615 and $43.05 and you will get $658.05 minus that by the old fridges total and you will get $658.05-$550 which gives you $108.05

A receipe calls for 3 potatoes to serve 4 people. If Jack is planning to serve a crowd of 20 people, how many potatoes should he use

Answers

15 potatoes

Divide 20 and 4 which should give you 5. Then multiply 3 by 5 which should give you 15.

write the product in its simplest form 3w^5×7w^5​

Answers

Answer:

21[tex]w^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

3[tex]w^{5}[/tex] × 7[tex]w^{5}[/tex]

= 3 × 7 × [tex]w^{(5+5)}[/tex]

= 21[tex]w^{10}[/tex]

PLS HELP!

I really wanna cry I don’t understand this

Answers

Answer: shown below

Step-by-step explanation:

It’s hard to explain but,

First you need to find the slope and y intercept of the equation and graph that. Graph y=3x-5. Graph y= -2x+3. Graph y=2. (In case you don’t know, f(x) is y.)

Then use the equation after the “if”. For example, to graph -1 < x < 4 for the equation y= -2x+3, find the numbers -1 and 4 located on the graph and find the points y=-2x+3 has on number -1 and 4. Both numbers are a open circle.

Do the same for the rest of the equations.

For the equation y= 2, the equation is x>4 (there’s a line under >, just can’t add it), Locate 4 on the graph. Find the point above 4. It is a closed circle pointing to the right because it is all numbers greater than or equal to 4.

Then for the equation y= 3x-5, the equation for it is x< -1. (Again, there’s a line under <) Find -1 on the graph. Look for the point y=3x-5 has under -1. It is a closed circle because all numbers are less than or equal to -1.

Answers and how to do them

Answers

Answer:

1)121.5 sq.yards

2)157.92 m²

3)5.434 ft²

4)147.4513 cm²

5)147 cm²

6)56 in²

Step-by-step explanation:

1) Area of shaded region= Area of rectangle-Area of triangle

Area of rectangle= Length*Breadth=18*9 sq.yards=162 sq.yards(length=18 yards and breadth=9 yards)

Area of triangle= [tex]\frac{1}{2}*Base*Height[/tex]=[tex]\frac{1}{2}*9*9[/tex]=40.5 sq.yards(base=9 yards and height= 9 yards)

Therefore,Area of shaded region=162-40.5=121.5 sq.yards

2) In the following figure,

Length of rectangle, l= 21 m

breadth of rectangle, b= 15 m

Radius of circles, r= 5 m

Area of rectangle=l*b=21*15=315 m²

Area of circle= π[tex]r^{2}[/tex]=π*[tex]5^{2}[/tex]=78.54 m²

Therefore,Area of shaded region= Area of rectangle-2*Area of circle

                                                       =315-2*78.54=157.92 m²

3) In the following figure,

Radius of circle, r= 2 ft

Base of triangle, b= 6 ft

Height of triangle, h=6 ft

Area of circle= π[tex]r^{2}[/tex]=π*[tex]2^{2}[/tex]=12.566 ft²

Area of triangle= [tex]\frac{1}{2}*Base*Height[/tex]

                         =[tex]\frac{1}{2}*6*6[/tex]=18 ft²

Therefore,Area of shaded region= Area of triangle- Area of circle

                                                       = 18-12.566=5.434 ft²

4) In the following figure,

Radius of circle, r= 6 cm

Length of rectangle, l= 17 cm

breadth of rectangle, b= 2*r= 12 cm

Area of semi-circle= π[tex]\frac{r^{2}}{2}[/tex]=π*[tex]\frac{6^{2}}{2}[/tex]

                               =56.5487 cm²

Area of rectangle=l*b=17*12=204 cm²

Therefore,Area of shaded region= Area of rectangle- Area of semi-circle

                                                       = 204-56.5487=147.4513 cm²

5) In the following figure,

Side of bigger square, a=14 cm

Side of smaller square, b=7 cm

Area of bigger square= [tex]a^{2}[/tex]=[tex]14^{2}[/tex]=196 cm²

Area of smaller square= [tex]b^{2}[/tex]=[tex]7^{2}[/tex]=49 cm²

Therefore,Area of shaded region= Area of bigger square- Area of smaller                                                                                              square

                                                       =196-49=147 cm²

6) In the following figure,

Length of rectangle, l= 10 in

breadth of rectangle, b= 8 in

Base of triangle, b= 8 in

Height of triangle, h=6 in

Area of rectangle=l*b=10*8=80 in²

Area of triangle= [tex]\frac{1}{2}*Base*Height[/tex]

                         =[tex]\frac{1}{2}*8*6[/tex]=24 in²

Therefore,Area of shaded region= Area of triangle- Area of circle

                                                       = 80-24=56 in²

plz don’t be rude if i got brainly i’m gonna use it

Answers

Answer:

y=-5x-36

Step-by-step explanation:

-66-(-61)= -5

6-5= 1

-5/1= -5

Y=-5x + B

-66= -5(6) + B

-66= -30 + B

-66 + 30 = (-30 +30) + B

-36 = B

Y= -5x-36

Math problem: a light-blocking screen transmits 18% of the light and reflects back the rest. how much light is transmitted through 2 screens?

Answers

Step-by-step explanation:

Paolo's expression 3(x+2)+3

Final answer:

To find how much light is transmitted through two screens that each transmit 18% of the light, multiply 18% by itself (0.18 x 0.18), which results in 3.24% of the original light being transmitted through both screens.

To determine how much light is transmitted through two light-blocking screens, we need to calculate the percentage of light that makes it through both screens. The first screen transmits 18% of the light. This means that only 18% of the initial light intensity will pass through the first screen.

When the light that has passed through the first screen encounters the second screen, again only 18% of that light will be transmitted. To find the total amount of light transmitted through two screens, we multiply the transmission rates of each screen:

Transmitted light through two screens = 18% of initial light * 18% = (0.18) * (0.18)

To get the final percentage, we multiply those two percentages:

Final transmission percentage = 0.18 * 0.18 = 0.0324 or 3.24%

Therefore, only 3.24% of the initial light is transmitted through two screens.

Approximately 3.1 million deaths per year. How many per minute

Answers

Answer:

5.898

Step-by-step explanation:

There are 365 days in a year.

There are 24 hours in a day.

There are 60 minutes in an hour.

In a day, there are 60 minutes each hour x 24 hours = 1440 minutes

In a year, there are 1440 minutes per day x 365 days = 525600 minutes

3.1 million = 3,100,000

3,100,000 / 525600 = 5.898 (rounded from 5.89802130898)

Final answer:

To calculate deaths per minute from an annual total of 3.1 million, we divide the total by days in a year, then by hours in a day, and finally by minutes in an hour, resulting in approximately 6 deaths per minute.

Explanation:

To find out how many deaths occur per minute from an annual total of approximately 3.1 million, we use a step-by-step mathematical calculation.

We start by dividing the total annual deaths by the number of days in a year, and then further dividing by the number of hours in a day, and finally by the number of minutes in an hour.

First, divide the annual deaths by the number of days in a year: 3,100,000 ÷ 365 = 8,493.15.Next, divide this daily death figure by the number of hours in a day: 8,493.15 ÷ 24 = 353.88.Finally, divide by the number of minutes in an hour to find deaths per minute: 353.88 ÷ 60 = 5.90.

Therefore, on average, there are approximately 6 deaths per minute worldwide given an annual total of 3.1 million deaths.

Are these collinear(coincident), parallel, perpendicular, oblique(intersecting)
Pls help me in this is it due today and also I will mark u as brainiest pls help me

Answers

Answer:

1. Collinear

2. Parallel

3. Oblique

Step-by-step explanation:

1. The system of linear two variable equations are  

3x - 2y = 2 ........... (1) and  

6x - 4y = 4, ⇒ 3x - 2y = 2 ........... (2) {Dividing both sides with 2}

So, equations (1) and (2) are identical.  

Therefore, the lines are collinear. (Answer)

2. The system of linear two variable equations are  

4x - 3y = 12  

⇒ 3y = 4 x - 12

⇒ [tex]y = \frac{4}{3} x - 4[/tex] {In slope-intercept form} ......... (3)

And, - 12x + 9y = 10

⇒ 9y = 12x + 10

⇒ [tex]y = \frac{4}{3} x + \frac{10}{9}[/tex] {In slope-intercept form} .......... (4)

Since, equation (3) and (4) has the same slope, so, they are parallel. (Answer)

3. The system of linear two variable equations are  

3x + 2y = 19

⇒ [tex]y = - \frac{3}{2} x + \frac{19}{2}[/tex] ........... (5)

And, 4x - 5y = 10

⇒ [tex]y = \frac{4}{5}x - 2[/tex] ........ (6)

So, from the equations (5) and (6) we can say that the straight lines are oblique (intersecting). (Answer)

(1.2x10^5)+(5.35x10^6)

Answers

Answer:

5,470,000

do the multiplication first and then add

Final answer:

When adding numbers in scientific notation, align the exponents and then add the coefficients. The sum of 1.2 x 10^5 and 5.35 x 10^6 is 5.47 x 10^6.

Explanation:

To add these two numbers in scientific notation, we need to first align the exponents. In this case, we can rewrite the first number as 0.12 x 10^6 and the second number as 5.35 x 10^6. Now, we can add the numbers together:

0.12 x 10^6 + 5.35 x 10^6 = 5.47 x 10^6. Thus, the sum of 1.2 x 10^5 and 5.35 x 10^6 is 5.47 x 10^6.

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Mofor’s school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 7 adult tickets and 6 tickets for a total of $143. The school took in $187 on the second day by selling 4 adult tickets and 13 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answers

The price of one adult ticket is $ 11 and the price of one student ticket is $ 11

Solution:

Given that , Mofor’s school is selling tickets to the annual dance competition.  

Let the cost of one adult ticket be $m and the cost of one student tickets be $n.

On the first day of ticket sales the school sold 7 adult tickets and 6 tickets for a total of $143.  

[tex]\text { Then, } 7 \times \text { cost of one adult ticket }+6 \times \text { cost of one student ticket }=\$ 143[/tex]

7m + 6n = 143 ------- eqn (1)

The school took in $187 on the second day by selling 4 adult tickets and 13 student tickets.  

[tex]\text { Then, } 4 \times \text { cost of one adult ticket}+13 \times \text { cost of one student ticket}=\$ 187[/tex]

4m + 13n = 187  ------ eqn (2)

We have to find the price of an adult ticket and the price of a student ticket.

Now, let us solve the equations.

Multiply eqn 1 by 4

28m + 24n = 572  ----- eqn 3

Multiply eqn 2 by 7

28m + 91n = 1309  ---- eqn 4

Now subtract eqn 4 from eqn 3

28m + 24n = 572

28m + 91n = 1309

(- )--------------------------------------

– 67n = - 737

67n = 737

n = 11

Plug in n = 11 in eqn 1

7m + 66 = 143

7m = 143 – 66

m = 11

Hence, the cost of one adult ticket is $ 11 and cost of one student ticket is $11

To the nearest hundred, what is the greatest whole number that rounds to 2,500 to the least who.e number?

Answers

Answer:

2400

Step-by-step explanation:

Plz do brainliess  answer

Answer: 2,400

Step-by-step explanation: You're rounding  2,500 to the nearest least whole hundred  number, so that would be 2,400 I hope I explained that right...

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