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The ratio of side lengths for two similar cubes is 2/5

Show your work or explain how you got your answers.

a.The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube

Answer:

(-a, -b)

Step-by-step explanation:

It's a square that has both X-axis and Y-axis as lines of symmetry.  We can then conclude the center of the square is at the origin (0,0).

It doesn't matter if the square is straight up (both axis being the mid-points symmetry lines, and one corner in each quadrant) or if it is turned (both axis being the diagonals and the corners are on the axis), in any case if a summit (corner) is defined as (a,b), the opposite corner will be at (-a,-b).

(a,b) could be (2,2), then opposite would be (-2,-2).

(a,b) could be (3,0), then the opposite would be (-3,0).

Answer: 8.4 inches.

Step-by-step explanation:

We know that the circumference of a circle can be calculated with this formula:

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

Where "r" is the radius of the circle.

We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces. Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.

Therefore, this is (to the nearest tenth of an inch):

[tex]C=\frac{2\pi (8in)}{6}\\\\C=8.4in[/tex]

The width of the outer edge of each piece of cake  8.4 inches.

SOLUTION:

Given, a circular cake with a radius of 8 inches is cut from the center into 6 equal pieces. We have to find the width of the outer edge of each piece of cake.

We know that the circumference of a circle can be calculated with this formula: [tex]2\pi r[/tex] where "r" is the radius of the circle.

We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces.

Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.

Therefore, this is (to the nearest tenth of an inch):

[tex]\text { Width }=\frac{2 \pi \times 8}{6}=\frac{\pi \times 8}{3}=\frac{8 \pi}{3}=8.377[/tex]

Hence, the cake piece is 8.4 inches wide.

The formula for volume of a cylinder is:

V = π r^2 h

r = 3 and h = 6

V = π * 3^2 * 6

V = π * 9 * 6

V = 54π units^3

Answer: I’m gonna say 169... this one confused me a little bit

Answer:

The value of x = 11 units

Step-by-step explanation:

From the figure we can see a triangle.

A  parallel line to one side cut other two sides.

From this we get the parallel line cut the sides in the same ratio

Find the value of x

From figure we can write,

6/48 = 5/(3x + 7)

6(3x + 7) = 5 * 48

18x + 42 = 240

18x = 240 - 42 = 198

x = 198/18 = 11

Answer:

8

Step-by-step explanation:

To obtain the second term substitute n = 2 into the recursive rule, that is

f(2) = f(2 - 1) + 5 = f(1) + 5 = 3 + 5 = 8

The answer is:

The third option:

2.7 times as much.

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

[tex]Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h[/tex]

Where,

[tex]r=radius=\frac{diameter}{2}\\h=height[/tex]

We are given the old can dimensions:

[tex]radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm[/tex]

So, calculating the volume, we have:

[tex]Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}[/tex]

We have that the volume of the old can is:

[tex]Volume_{Can}=199.7cm^{2}[/tex]

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

[tex]radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm[/tex]

Calculating we have:

[tex]Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}[/tex]

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

[tex]\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7[/tex]

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

Answer:

b. Well, I've gotten y=5x+110 for the line of best fit.

To do so, create a line that fits best for a scatter plot. It's best if it's in the middle and hits most coordinates. So y=5x+110 is a good line.

c. To do so, insert 15 into x and solve from there.

y=5(15)+110

y=75+110

y=185

That is the number of people that might attend the reunion on the 15th year.

Answer:

None

Step-by-step explanation:

They are parallel and have the same slope

Answer:

54.6

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Distance around Pie = Pi*Diameter

Final answer:

The circumference of a 10-inch diameter cherry pie, using the value 3.1 for Pi, is 31 inches, which is the distance around the pie.

Explanation:

The distance around a circle is known as the circumference. To calculate the circumference of a 10-inch diameter cherry pie, we will use the relationship between the diameter and circumference, which involves Pi (π). The formula for the circumference C is C = π × d, where d is the diameter.

Using 3.1 as the approximate value for π, and with a diameter of 10 inches, we can calculate the circumference as follows:

C = π × d = 3.1 × 10 = 31 inches.

Therefore, the distance around a 10-inch cherry pie from Betsy's Bakery is approximately 31 inches.

Answer:

25%

Step-by-step explanation:

6.75 divided by 9 gives you 75%, if you want the discount then you subtract from 100 and get 25%

Answer:

25%

Step-by-step explanation:

Answer:

7/8ths of a pizza.

Step-by-step explanation:

3/8 + 1/2

Find the LCD and then combine.

7/8 in exact form, and 0.875 as a decimal.

Answer:

15 apples

Step-by-step explanation: if you need 10 apples for two quarts, then you need 5 for 1. add those together and you get 15

Answer:

both

Step-by-step explanation:

b/c they both divide the square into equidistant segments

Answer: both

Step-by-step explanation:

divide the square into two equal sections

im pretty sure its 43.96cm

Answer: 3, 21, 9, 15, ... any thing you can divide three with

Step-by-step explanation:

Step-by-step explanation:

The odd number whose a factor is the number 3 is  a positive odd multiple of 3:

3, 9, 15, 21, 27, 33, 39, 45, 51, 57, ...

Answer:

2, 3, and 4

Step-by-step explanation:

Answer:

The desired equation is y = (-8/3)x + 3.

Step-by-step explanation:

There's no one general form; several different forms apply here.

Seeing that the y-intercept is (0, 3) and that another point on the line is (3, -5), I'd use the slope-intercept form here:  y = mx + b

As we move from the first point to the second, x increases by 3 and y decreases by 8.  Thus, the slope of the line through the two points is

m = rise / run = -8/3.  As before, the y-intercept is (0, 3), so b = 3.

The desired equation is y = (-8/3)x + 3.

The answer is:

The first option:

[tex]3x+y-3=0[/tex]

To find which is the equation of the line shown, we need to find  a line that intercepts the y-axis at 3 and the x-axis and 1.

So,  discarding we have:

[tex]3x+y-3=0[/tex]

Making "x" equal to 0 in order to find the y-axis intercept, we have:

[tex]3(0)+y-3=0[/tex]

[tex]y=3[/tex]

Making "y" equal to 0 in order to find the x-axis intercept, we have:

[tex]3x+0-3=0[/tex]

[tex]3x=3[/tex]

[tex]x=\frac{3}{3}=1[/tex]

So, we have found that the x-axis and y-axis intercept of the equation, are the shown in the picture.

The interception points of the equation and the line are:

For x-axis:

[tex](1,0)[/tex]

For y-axis:

[tex](0,3)[/tex]

Hence, the answer is the first option.

[tex]3x+y-3=0[/tex]

Have a nice day!

Answer:

1,384 is a rational number.

Answer:

1,384 is a rational number because it can be expressed as the quotient of two integers: 1384÷ 1

Also,

Examples of Irrational:

[tex]\sqrt{2} = 1.41421356237[/tex]

√3 = 1.73205080757

So irrational number are not repeating decimals but they don't have an exact answer either.

* Hopefully this help :) Mark me the brainliest:)!!

If 1 newton pushes it 0.3 meters, it would take 1.5 / 0.3 newtons, or 5 newtons to push it 1.5 meters

Answer: 5 Newton

Step-by-step explanation:

We know that the Hooke's law states that the force 'F' needed to stretch or compress a spring by some distance 'a' is proportional to that distance .

[tex]F=\dfrac{a}{c}[/tex], where c is the spring constant.

Given: A spring has spring constant 0.3 m/newton.

The  force is necessary to stretch the spring by 1.5 meters is given by :-

[tex]\Rightarrow\ F=\dfrac{1.5}{0.3}\\\\\Rightarrow\ F=5[/tex]

Hence, the  force is necessary to stretch the spring by 1.5 meters = 5 Newton .

Answer:

D) [tex]y=\frac{2}{3}x+\frac{3}{2}[/tex]

Step-by-step explanation:

The given equations are in the form;

[tex]y=mx+b[/tex]

We  can observe from the graph that the line is sloping forward.

This means that the slope must be positive.

[tex]\implies m=\frac{2}{3}[/tex]

Also the y-intercept is positive

This implies that;

[tex]b=\frac{3}{2}[/tex]

Hence the equation is [tex]y=\frac{2}{3}x+\frac{3}{2}[/tex]

Answer:

A

Step-by-step explanation:

ANSWER

y=1

EXPLANATION

If (-1, y) lies on the graph of

[tex]y = 3^{x+1}[/tex]

then it must satisfy its equation:

We substitute x=-1 in to the equation to get:

[tex]y = 3^{-1+1}[/tex]

[tex]y = 3^{0}[/tex]

Any non-zero number exponent 0 is 1.

This simplifies to:

y=1

Therefore when x=-1, y=1

The third choice is correct.

Answer:

The correct answer option is 1

Step-by-step explanation:

We are given the following equation and we are to find the value of y when the point (-1, y) lies on the graph of the given equation:

[tex] y = 3 ^ { x + 1 } [/tex]

So we will substitute the given value of x from the point (-1, y) in the equation to get y:

[tex]y = 3^{-1+1}[/tex]

[tex]y=3^0[/tex]

We know that anything with power zero is equal to 1.

Therefore, y = 1.

Answer:

Step-by-step explanation:

The cost of each adult ticket is $28, but there is no solution for the cost of each student ticket in this case.

To solve this problem, we can set up a system of equations using the given information. Let's represent the cost of an adult ticket as 'a' and the cost of a student ticket as 's'. From the first equation, we know that 4a + 2s = 64. From the second equation, we know that 3a + 3s = 60. Now we can solve this system of equations.

Multiplying both sides of the second equation by 2 gives us 6a + 6s = 120. We can subtract the first equation from this equation to eliminate 's'.

6a + 6s - (4a + 2s) = 120 - 64

Expanding and simplifying the equation gives us 2a = 56. Dividing both sides by 2, we find that a = 28. Now we can substitute this value into either of the original equations to find 's'.

Using the first equation: 4(28) + 2s = 64

Simplifying the equation gives us 112 + 2s = 64

Subtracting 112 from both sides gives us 2s = -48. Dividing both sides by 2, we find that s = -24.

However, since we're talking about the cost of tickets, we can't have a negative value. Therefore, there is no solution for 's' in this case.

The cost of each adult ticket is $28, but there is no solution for the cost of each student ticket in this case.

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Answer:

Step-by-step explanation:

[tex]d-10-2d+7=8+d-10-3d\qquad\text{combine like terms}\\\\(d-2d)+(-10+7)=(d-3d)+(8-10)\\\\-d-3=-2d-2\qquad\text{add 3 to both sides}\\\\-d=-2d+1\qquad\text{add}\ 2d\ \text{to both sides}\\\\d=1[/tex]

Answer: 125 squared ft

Area of the big rectangle ⬜️, 15ft x 10ft = 150 square ft

Area of the small square(which is spaced), 5ft x 5ft = 25 squared ft

Area of the give figure, 150squared ft- 25squared ft = 125 squared ft

Answer:

The answer is 125ft

Answer:

sure I'll help, 59.99 per hour. it's a pretty solid deal.

Step-by-step explanation:

Answer: 3 points.

Step-by-step explanation: 3 x 2 is 6, plus 3 is 9

Step by step answer.

g / -1 + 10 < 7

-g + 10 < 7

-g  + 10 - 10 < 7 - 10

-g < -3

-g / -1 < -3 / -1

g > 3  --) answer

The reason why the sign is filpped is that because of g is the opposite of -g and if -g was less than 3 then g is greater than 3.

Answer:

[tex]\large\boxed{g>3\to g\in(3,\ \infty)}[/tex]

Step-by-step explanation:

[tex]\dfrac{g}{-1}+10<7\qquad\text{subtract 10 from both sides}\\\\-g<-3\qquad\text{change the signs}\\\\g>3[/tex]