What is a scale drawing and how do you solve it? ( You can use any example to represent how to solve a scale drawing) Thanks!






-nana-

The total resistance for the given resistors connected in series is 2000 ohms.

To calculate the total resistance for resistors connected in series, you simply add up the individual resistances. In this case, the resistances are 650 ohm, 350 ohm, and 1000 ohm. So the total resistance would be:

Total Resistance = 650 ohm + 350 ohm + 1000 ohm = 2000 ohm

The slope of the graph for the equation y + 9x = -6 is -9, and the y-intercept is -6, which corresponds to the point (0, -6) on the y-axis.

The equation y + 9x = -6 can be re-written in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. To find the slope and y-intercept from the given equation, we need to isolate y on one side. Here's how we do it step-by-step:

The slope (m) is the coefficient of x, which is -9, and the y-intercept (b) is the constant term, which is -6. Thus, the slope is -9, and the y-intercept is the point (0, -6) on the y-axis.

Answer: 8.25 cm

Step-by-step explanation:

We know that the area of rectangle is given by :-

[tex]\text{Area}=\text{Length}\times\text{Width}[/tex]

Given : The length of rectangle: l= 5.25 cm

The area of rectangle:[tex] A=44.625\ cm^2[/tex]

Substitute the values of A and l in the formula given above, we get

[tex]44.625=5.25\times\text{Width}[/tex]

Divide 5.25 both sides , we get

[tex]\text{Width}=\dfrac{44.625}{5.25}=8.5[/tex]

Hence , the other length of the rectangle have to be 8.25 cm.

Answer:

Yes, it will be interruped by the fence.

Step-by-step explanation:
I am assuming you are dealing with a 10-foot long rope. The pony is making a circle with a raidus of 10 around the center, (8,8). If we were to draw a straight line from the center to the left that was 10 feet long, it would be horizontal to the stake, and it would go to (-2,8) (8-10,-8). Since the fence lies on the y axis, which is (0,y), but the coordinate (-2,8) has an x value that is less than 0, then the pony would crash into the fence.

this also works if you go down 10 feet to (8,-2) and the fence on the x axis has the coordinate (x,0)

Without additional details such as the length of the pony's tether and the location of the fence, it's not possible to definitively answer if the pony's path will be interrupted by the fence. This question involves understanding of coordinate systems and the concept of radius in geometry.

The solution to this question depends on several factors not provided, including the length of the pony's tether and the location, shape, and size of the fence. The point (8,8) represents the pony's location in a two-dimensional coordinate system. If we know the length of the tether and the coordinates of the fence, we could then determine whether the pony's path would be interrupted by the fence.

For instance, if the pony's tether is 4 units long, then the pony can move in a circle (known as a radius) around the stake at (8, 8). If the fence is within that 4-unit radius, then the pony's path would be interrupted by the fence.

Without these additional details, we cannot provide a conclusive answer to this question. It's integral to have as much information as possible when working with coordinate systems and interpreting geometric movements and positions.

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2.00 * 1.25 = 2.50

1.50 * 2.5 = 3.75

3.75 + 2.50 = $6.25 total cost

Answer:

False

Step-by-step explanation:

I had this same assignment

The expression for the perimeter of a rectangular field where the length is 30 more than twice its width, in terms of the width w, is 6w + 60.

The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. According to the problem, the length (l) of the rectangular field is 30 more than twice its width (w). So we can express the length as l = 2w + 30.

Substituting this expression into the perimeter formula, we get:

P = 2(2w + 30) + 2w

Simplifying this expression, we get:

P = 4w + 60 + 2w = 6w + 60

So, the expression for the perimeter of the field in terms of its width w is 6w + 60, which is already in its simplest form.

When we will solve the equation 8x+16=8x-16 by subtractig 8x from each sides then we will get,

+16=-16 which is mathematically not correct.

So, there is no solution for this system.

SOooooo I don't think I am really right but I came up with 8X9=14+5X2=23

Brianna walked 6 miles more than she ran.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

she had got to bike a total of 2 miles, the other 3 of which she ended up walking. this means the trip was 5 miles long, all of which she walked.

walked: 8 miles.

biked: 2 miles

8 - 2 = 6 miles.

Hence, she walked 6 miles more than she ran.

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Answer:

1. 3/7

2. 6/11

Step-by-step explanation:

One and one half divided by one and one sixth equals 1 2/7, and three fourths divided by one and three eights equals 6/11. To solve, convert mixed numbers to improper fractions, then multiply by the reciprocal of the divisor fraction.

To find out what one and one half divided by one and one sixth is, we first need to express these mixed numbers as improper fractions. One and one half is the same as 3/2 (since 1 + 1/2 = 2/2 + 1/2 = 3/2), and one and one sixth is the same as 7/6 (since 1 + 1/6 = 6/6 + 1/6 = 7/6). When we divide fractions, we multiply by the reciprocal of the divisor. So, (3/2) / (7/6) = (3/2) * (6/7) = 9/7, or 1 2/7 when expressed as a mixed number.

Next, to divide three fourths by one and three eights, we express these numbers as improper fractions as well. Three fourths is already an improper fraction, 3/4, and one and three eights is 11/8 (since 1 + 3/8 = 8/8 + 3/8 = 11/8). Dividing these gives us (3/4) \/ (11/8) = (3/4) * (8/11) = 24/44, which simplifies to 6/11.

Answer:

Expression is,

[tex]3 < s + 4[/tex]

Solution is -1 < s.

Step-by-step explanation:

Given phrase,

Three is less than the sum of a number s and 4,

∵ Sum of s and 4 = s + 4,

Now, in the inequality,

We use < for 'less than'

Hence, 3 is less than s + 4

[tex]\implies 3 < s + 4[/tex]

Which is the required expression,

By solving it,

[tex]3-4<s[/tex]

[tex]\implies -1<s[/tex]

Answer:

[tex]x=\pm2[/tex]

Step-by-step explanation:

The given equation is

[tex]x^2-14=-10[/tex]

Add 14 to both sides of the equation.

[tex]x^2=-10+14\\\\x^2=4[/tex]

Now, take square root both sides. Whenever, we take square root both sides, we include plus minus sign

[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]

On simplifying, we get

[tex]x=\pm2[/tex]

she has 100

 subtract 40 for renting the room

100-40 =60

now divide 60 by 12 to find number of people

60/12 = 5

 she can invite 5 people