If y varies directly with x when y=16 and x=2.1, what is the value of x when y=4
Rounded to the nearest tenth

Answer:

8.71 x 10^3N - C

Step-by-step explanation:

Force = mass x acceleration

mass = 1.7 x 10^3 and acceleration = 4.75m/s^2

Force = 1.7 x 10^3 x 4.75 = 8075N = 8.71 x 10^3N

Answer:

8,075N

Step-by-step explanation:

The information we have is:

Mass:

[tex]m=1.7x10^3kg[/tex]

Acceleration:

[tex]a=4.75m/s^2[/tex]

We are asked to find the force that is necessary to create that acceleration in the given mass.

For this we use the equation of Newton's second law:

[tex]F=ma[/tex]

and now we susbtitute all the values into the equation to find the force [tex]F[/tex]:

[tex]F=(1.7x10^3kg)(4.75m/s^2)\\F=8,075N[/tex]

The magnitude of the force required is 8,075N

Step-by-step explanation:

Given that , the scale on map is 1 : 320000.

Its means that if the scale shows 1 unit  then actual length is 320000 units

So If the  shows 1  cm then the actual distance = 320000 cm

                                                                              =[tex]\frac{320000}{100000}[/tex] km = 3. 2 km

Answer:

answer is c i did the test

Step-by-step explanation:

Answer:

The answer to the given equation is x=3

Step-by-step explanation:

Given equation is 2(4x-3)-8=4+2x

To find the answer for the given equation :

2(4x-3)-8=4+2x

Using the distributive property a(x+y)=ax+ay

2(4x)+2(-3)-8=4+2x

8x-6-8=4+2x

8x-14=4+2x

Subtracting (4+2x) on both sides we get

8x-14-(4+2x)=4+2x-(4+2x)

8x-14-4-2x=4+2x-4-2x ( by distributive property )

8x-2x-14-4=4-4-2x+2x ( combinig like terms on both sides)

6x-18=0

6x=8

[tex]x=\frac{18}{6}[/tex]

Therefore x=3

Therefore the answer to the given equation is x=3

Answer:

48.5 gal/min

Step-by-step explanation:

I used a ratio to solve this problem.

If 97 gallons flow in 2 minutes, the ratio is 97/2

To find the flow per one minute, the ratio is x/1

You can then cross multiply to get 97=2x

When solved, this gives you 48.5 gal/min.

To check, you can multiply x2.

Answer:

14

Step-by-step explanation:

12+b=26

b=26-12

b=14

Answer:14

Step-by-step explanation:You first want to do 12+12 because that =24 and then keep on adding until u get 26

Answer:

He sold a packet for RM4.1

Step-by-step explanation:

number of Oranges = 63

Bought Oranges for. = RM 34.65

Number of packets. = 63/3

= 21

profit. = RM 51.45

the value that he sold a packet =

[tex] \frac{34.65 + 51.45}{21} = \frac{86.1}{21} = rm4.1[/tex]

Answer:

x=-29

Step-by-step explanation:

Answer:

3x + 42 = 2x - 45           (subtract 2x by bringing it to the other side)

1x + 42 = -45

1x = -45-42             (remember to change the SIGN)

1x = -87

x = -87/1

x = -87

Final answer:

To find the difference between 83456 and 728.88, subtract the second number from the first, resulting in the answer 82727.12.

Explanation:

To find the difference between the two numbers 83456 and 728.88, we simply subtract the second number from the first:

Write the numbers in a vertical column, aligning the digits by place value.

Perform the subtraction, starting from the rightmost digits (the ones place) and moving to the left, borrowing as needed.

Subtract each digit in the smaller number from the corresponding digit in the larger number.

83456
-  728.88
_______
82727.12

The difference is 82727.12.

Answer:

A full batch of cookies will require [tex]\hspace{0.15cm} \frac{8}{3} cup \hspace{0.15cm}of\hspace{0.15cm} \hspace{0.15cm} sugar,\hspace{0.15cm} or \hspace{0.15cm}2\hspace{0.15cm}whole\hspace{0.15cm} cups\hspace{0.15cm} and \hspace{0.15cm} \frac{2}{3} cup\hspace{0.15cm} of \hspace{0.15cm}sugar.[/tex]

Step-by-step explanation:

i) [tex]\hspace{0.15cm}\frac{1}{4} batch \hspace{0.15cm}of \hspace{0.15cm}cookies\hspace{0.15cm} requires\hspace{0.15cm} \frac{2}{3} cup \hspace{0.15cm}of\hspace{0.15cm} sugar[/tex]

ii) multiplying the above by 4 we get

[tex]\hspace{0.15cm}(4\times\frac{1}{4}) batch \hspace{0.15cm}of \hspace{0.15cm}cookies\hspace{0.15cm} requires\hspace{0.15cm}( 4 \times\frac{2}{3} )cup \hspace{0.15cm}of\hspace{0.15cm} sugar[/tex]

iii) Therefore [tex]\hspace{0.15cm}1 batch \hspace{0.15cm}of \hspace{0.15cm}cookies\hspace{0.15cm} requires\hspace{0.15cm} \frac{8}{3} cup \hspace{0.15cm}of\hspace{0.15cm} sugar[/tex]

iv) Therefore a full batch of cookies will require [tex]\hspace{0.15cm} \frac{8}{3} cup \hspace{0.15cm}of\hspace{0.15cm} \hspace{0.15cm} sugar,\hspace{0.15cm} or \hspace{0.15cm}2\hspace{0.15cm}whole\hspace{0.15cm} cups\hspace{0.15cm} and \hspace{0.15cm} \frac{2}{3} cup\hspace{0.15cm} of \hspace{0.15cm}sugar.[/tex]

Answer:

1. sometimes true

A rhombus is a quadrilateral with all equal size and length. A square is a quadrilateral with all equal size and length, and all right angles around bus, however, can be a square if it has right angles.

2. always true

A square has to have all equal sides and all right angles, however, a rectangle has to have right angles and opposite sides are equal to each other. So if a square has equal sides, it can be considered a rectangle since both opposite sides are equal

3. sometimes true

A parallelogram is a quad roulette or with parallel and equal opposite sides, and a rectangle has right angles and equal opposite sides, therefore, if the parallelogram has right angles, then it is considered a rectangle

4. always true

A quadrilateral has to have 4 sides and the rectangle has 4 sides there, for it is considered a quadrilateral

5. never true

A parallelogram is a quadrilateral, therefore, it has to have 4 sides, but a hexagon has to have 6 sides, therefore, it is never a hexagon

Answer:

Step-by-step explanation:

[tex]\frac{6*10^{2}}{3*10^{-5}}=2*10^{2}*10^{5}\\\\=2*10^{(2+5)}=2*10^{7}[/tex]

Answer:

1. 192 books.  

2. 96 books.  

3. 24 books.

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³  

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.  

Greatest number of layers = Height of the box/Width of a book  

Greatest number of layers = 8/1 = 8  

Minimum number of layers = Height of the box/Height of a book  

Minimum number of layers = 8/4 = 2  

Upon saying that, we have:  

Number of books per layer = Greatest number of books/Minimum number of layers  

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8  

Number of books per layer = 24

Note: Same answer to question 14559894, answered by me today.

Final answer:

The greatest number of books Hardy can fit into the box is 192. With the least number of layers and the box completely filled, there would be 24 books on the bottom layer. And if there are 8 layers of books in the box, there would be 24 books in each layer.

Explanation:

Hardy is packing books into a box and wants to maximize the number of books while also considering different arrangements. The dimensions of each book are 4 inches by 6 inches by 1 inch, and the dimensions of the box are 24 inches by 24 inches by 8 inches. The volume of a book is 4in x 6in x 1in = 24in³, and the volume of the box is 24in x 24in x 8in = 4,608in³. Therefore, the greatest number of books that fit into the box is the volume of the box divided by the volume of one book, which gives us 4,608in³ / 24in³ = 192 books.

If Hardy fills the box completely with the least number of layers, he would place the books so that the largest book dimensions are aligned with the box's. This means laying the books down in layers where each layer measures 24in by 24in. Since each book has a 6-inch side, we can fit four books along the width of the box (24in / 6in = 4 books), and similarly, we can fit six books along the length of the box (24in / 4in = 6 books), resulting in 4 x 6 = 24 books on the bottom layer.

If Hardy fills the box completely with 8 layers of books, he is dividing the height of the box by the height of a book (8in / 1in = 8 layers). In this case, since there are 24 books per layer (as calculated previously), and there are 8 layers, it means there are still 24 books in each layer.

Answer:

B

Step-by-step explanation:

Substitute the value of (2,1) into the equations, and you find that only B works.

Answer:

Step-by-step explanation:

The amount of simple interest is ...

  I = Prt = $218·0.06·7 = $91.56

The total account balance is this amount added to the original deposit:

  $218.00 + 91.56 = $309.56

Answer:

Student 3

Step-by-step explanation:

Part of the 3-4-5 Pythagorean triples.

If you read the question you can find that the question is incomplete. By googling it you can find the complete question here: https://brainly.com/question/11917098.

The area of the window is 182 square inches.

Option: B.

Step-by-step explanation:

From the given data, we are given with the length of the upper side of the trapezoid, the right side's bottom excluded the length upper side's length and height of the trapezoid.

Area of an isosceles trapezoid = [tex]\frac{1}{2}[/tex]( a+b) h.

where a is the length of upper side of the trapezoid, b is the length of lower side of the trapezoid and h is the height of the trapezoid.

a= 12 inches.

h= 13 inches.

We are given only with the right side's length of base excluding the length of upper side.

So we have to calculate b= left side + upper side+ right side.

                                        b= 2+12+2.

                                        b= 16 inches.

Area of an isosceles trapezoid = [tex]\frac{1}{2}[/tex] (12+16)(13).

                                                   = [tex]\frac{1}{2}[/tex] (28)(13).

                                                   = 14(13).

                                                   = 182 square inches.

∴ Area of the window= 182 square inches.

Answer:

16.75

Step-by-step explanation:

7.5+9.25=16.75

Line up the digits and use traditional algorithm.

Final answer:

The volume of a beach ball with a diameter of 24 inches is approximately 4.19 cubic feet, which is rounded to 4 cubic feet.

Explanation:

To find the volume of a beach ball with a diameter of 24 inches, we first need to find the radius by dividing the diameter by 2, giving us a radius of 12 inches. The formula for the volume of a sphere is V = (4/3) * π * r^3, where V is the volume and r is the radius of the sphere.

Using the formula:

V = (4/3) * π * (12 inches)^3

V = (4/3) * π * 1,728 cubic inches

V ≈ 7,238 cubic inches (rounded to the nearest whole number)

Now, we need to convert cubic inches to cubic feet since 1 cubic foot equals 1,728 cubic inches.

V = 7,238 cubic inches / 1,728 cubic inches per cubic foot

V ≈ 4.19 cubic feet

Rounded to the nearest cubic foot, the volume of air in the beach ball is approximately 4 cubic feet.

Answer:

Total cost of painting the pyramid including the base = 19,200

Total cost of painting the pyramid excluding the base = 12,000

Step-by-step explanation:

Data provided in the question:

Height of the doll = 8 cm

Slant height of the pyramid, s = 5 cm

Base dimensions = 6 × 6

Cost of painting = 200 per cm²

Now,

Area of the base = 6 × 6 = 36 cm²

Area of the Pyramid = Area of the base + [tex]\frac{1}{2} \times P\times s[/tex]

here,

P is the perimeter of the base = 4 × side

= 4 × 6

= 24 cm

Thus,

Area of the Pyramid = 36 + [tex]\frac{1}{2} \times24\times 5[/tex]

or

Area of the Pyramid = 36 + 60 = 96 cm²

Total cost of painting the pyramid including the base = 96 cm² × 200

= 19,200

Total cost of painting the pyramid excluding the base = 60 cm² × 200

= 12,000

Answer:

d) 1998 to 2000

Step-by-step explanation:

Consumer price index (CPI) is an economic indicator that shows the average change in prices of items, goods and services. Basically, if CPI is increasing over a period of time that means that there is inflation, and if it decreases that means that there is deflation (lowering of prices).

Now, looking at our table, we see that:

- 1992-1994: CPI increased from 44.3 to 58.2 -> inflation

- 1994-1996: CPI increased from 58.2 to 65.9 -> inflation

- 1996-1998: CPI increased from 65.9 to 70.4 -> inflation

- 1998-2000: CPI decreased from 70.4 to 69.1 -> deflation

Answer:

The correct answer is D. 1998 to 2000

Step-by-step explanation:

Answer:

332324

Step-by-step explanation:

b4hbf3hkrbf;h3bfh3bfc;khjbr3fkhbn;vb 4;khvcj3nc

The number of batches of cookies made is [tex]7\frac{1}{2}[/tex]

Solution:

Given that, baker has 10 cups of sugar to make cookies

Each batch calls for [tex]1\frac{1}{3}[/tex] cups of sugar

To find: Number of batches of cookies can be made

From given information,

Total number of cups of sugar = 10

Cups of sugar for 1 batch = [tex]1\frac{1}{3} = \frac{3 \times 1 + 1}{3} = \frac{4}{3}[/tex]

Therefore, number of batches of cookies can be made is found by dividing the total number of cups of sugar by cups of sugar for 1 batch

Thus we get,

[tex]\text{Number of batches of cookies can be made} = \frac{\text{Total number of cups of sugar}}{\text{Cups of sugar for 1 batch}}[/tex]

Substituting the values, we get

[tex]\text{Number of batches of cookies can be made} = \frac{10}{\frac{4}{3}}\\\\\text{Number of batches of cookies can be made} = 10 \times \frac{3}{4}\\\\\text{Number of batches of cookies can be made} = \frac{15}{2}\\\\\text{In mixed form, we get }\\\\\rightarrow \frac{15}{2} = 7\frac{1}{2}[/tex]

Thus number of batches of cookies made is [tex]7\frac{1}{2}[/tex]

Answer: 18cm

Step-by-step explanation:

Let original drawing's base be b.

We are using scale factor of 0.4, so

0.4 of b = 7.2cm

0.4 × b = 7.2cm

b = (7.2/0.4)cm

b = 18cm

The base of the original drawing must be 18 cm.

Option B is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Scale factor = 0.4.

From the figure,

Original height = 25.6 cm

Original base = b cm

Scale height.

= 25.6 x 0.4

= 10.24 cm

Scale base = 7.2 cm

Now,

Original base.

b x 0.4 = 7.2

b = 7.2 / 0.4

b = 18 cm

Thus,

The base of the original drawing must be 18 cm.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ6

Answer:

2.41

Step-by-step explanation:

First you make 7 a decimal that matches 4.59. if you understand decimals then you know its 7.00. after that you just subtract. borrow is necessary in this problem.

To solve 7-4.59, subtract 4.59 from 7 to get 2.41.

To solve 7-4.59, we need to subtract 4.59 from 7.

Step 1: Write down the subtraction problem: 7-4.59

Step 2: Subtract the ones place value: 7 - 4 = 3

Step 3: Subtract the tenths place value: 0 - 5 = -5

Step 4: Combine the values: 3 - 0.59 = 2.41

Therefore, 7 - 4.59 equals 2.41.

Answer:

(-2,5) and (7,23)

Step-by-step explanation:

we have

[tex]y=x^{2} -3x-5[/tex] ---> equation A

[tex]y=2x+9[/tex] ---> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

Using a graphing tool

The intersection points are (-2,5) and (7,23)

see the attached figure

therefore

The solutions are (-2,5) and (7,23)

The solution points are [tex](-2,5)[/tex] and [tex](7,23)[/tex].

It is given equations are,

Explanation:

From the given graph it is clear that the curve and line intersect each other at two points. These points are the solutions for the given system of equations.

The graph of line and curve intersect each other at [tex](-2,5)[/tex] and [tex](7,23)[/tex].

Thus, the solution points are [tex](-2,5)[/tex] and [tex](7,23)[/tex].

Learn more:

https://brainly.com/question/14300335

Answer:

The points (12,3), (-2,-5) and (1,15) through which the line can pass.

Step-by-step explanation:

A line passes through the point (0, –1) and has a positive slope.

(i) The slope of the line passing through the points (0,-1) and (12,3) will be

[tex]\frac{- 1 - 3}{0 - 12} = \frac{1}{3} > 0[/tex]

(ii) The slope of the line passing through the points (0,-1) and (-2,-5) will be

[tex]\frac{- 1 + 5}{0 + 2} = 2 > 0[/tex]

(iii) The slope of the line passing through the points (0,-1) and (- 3,1) will be

[tex]\frac{- 1 - 1}{0 + 3} = - \frac{2}{3} < 0[/tex]

(iv) The slope of the line passing through the points (0,-1) and (1,15) will be

[tex]\frac{- 1 - 15}{0 - 1} = 16 > 0[/tex]

(v) The slope of the line passing through the points (0,-1) and (5,-2) will be

[tex]\frac{- 1 + 2}{0 - 5} = - \frac{1}{5} < 0[/tex]

Therefore, the points (12,3), (-2,-5) and (1,15) through which the line can pass. (Answer)

Answer:

A, B, D

Step-by-step explanation:

just took it on edg

Answer:

D(-6,-4)

Step-by-step explanation:

-5x + y = 26

2x - 7y = 16

-5x/-5 = 26-y/-5

x = -26/5 + y/5

2(-26/5 + y/5) = 7y = 16

-52/5 + 2y/5 = 16 + 52/5

-33y/5 = 80/5 + 52/5

-33y/5 = 132/5

-33y = 132

y = -4

2x - 7(-4) = 16

2x + 28 = 16

2x = -12

x = -6

The wheel covered 785 feet in one complete turn

Solution:

Given that, The first Ferris wheel was built in 1893 in Chicago

Diameter of wheel = 250 feet

Let us find the radius of wheel

[tex]Radius = \frac{diameter}{2}\\\\Radius = \frac{250}{2}\\\\Radius = 125[/tex]

Thus radius of wheel is 125 feet

We have to find the distance covered in one complete turn

The number of feet the wheel rotated in one turn is equal to its circumference

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14

Substituting the values we get,

[tex]C = 2 \times 3.14 \times 125\\\\C = 785[/tex]

Thus the wheel covered 785 feet in one complete turn