Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction y = 5 x + 3 y = one-fifth x + StartFraction 3 Over 25 EndFraction y = one-half x + 6

Step-by-step explanation:

left side X°=33(i.e 75+72+x=180)

left side down x°= 60°

right side=145°

right side down= 124

For PLATO Users here is the correct matching

Answer:

1. 21 represents the cost of manufacturing one handband.

3. The initial start up cost is $15000.

5. The company spends $57000 to manufacture 2000 handbands.

Step-by-step explanation:

We are given the cost function for manufacturing 'h' amount of handbands and it is provided that there was initial start up costs involved.

Now, as the cost function is given by, C(h) = 21h + 15000.

We can see that the initial start up cost is $15000.

As, 'h' is the number of handbands being made. So, 21h in C(h) is the cost of manufacturing 'h' handbands.

Therefore, 21 is the cost of manufacturing one handband.

Since, C(h) = 21h + 15000.

Substituting h = 2000, we get,

C(2000) = 21×2000 + 15000.

i.e. C(2000) = 42000 + 15000.

i.e. C(2000) = 57000.

The company spends $57000 to manufacture 2000 handbands.

Since, we are provided with only cost function, we can not talk about the profit.

Hence, option 1, 3 and 5 are correct.

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Answer:

1. 21 represents the cost of manufacturing one handband.

3. The initial start up cost is $15000.

5. The company spends $57000 to manufacture 2000 handbands.

Step-by-step explanation:

Answer:

9.4 inches

Step-by-step explanation:

The formula for circumference is πd

Since the diameter is 3 inches, multiply that by pi to get your answer

3π ≈ 9.4 inches

Answer:

25

use the formula for hypotenouse of a triangle to find the diangles as if they were the hypotenouse so 5 squared plus 10 squared is 25 plus 100 which is 125 which has the square root 11.2. so now you have the length (longer side) so for the width it's 1 squared plus 2 squared which is 1 plus 4 is 5 so the square root of 5 is about 2.2 so that's the width (shorter side) so now for the area it's 11.2 (length) times 2.2 (width) which is about 25. hope this hopes let me know if you have a question

Answer:30

Step-by-step explanation:

Answer: The answer you clicked on in the picture is correct, (B)

Step-by-step explanation: I put the equation through a thing I know of (faMATHWAce) and got that as the answer.

Answer: 9.5493

Step-by-step explanation: circumference = 2pi*r

Answer:

9.55 simplified

Answer:

A 13

Step-by-step explanation:

8 families own 2 pets

4 families own 3 pets

1 family owns 4 pets

8+4+1 = 13

13 families owns between 2 and 4 pets

Segment JK is congruent to segment DE because they have the same length.

To determine if segment JK is congruent to segment DE, we need to compare their lengths. We can use the distance formula to find the length of each segment.

For segment JK, the coordinates are J(1, 4) and K(-6, -8). Using the distance formula, we have:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
  = sqrt((-6 - 1)^2 + (-8 - 4)^2)
  = sqrt((-7)^2 + (-12)^2)
  = sqrt(49 + 144)
  = sqrt(193)

For segment DE, the coordinates are D(3, 3) and E(-4, -9). Using the distance formula, we have:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
  = sqrt((-4 - 3)^2 + (-9 - 3)^2)
  = sqrt((-7)^2 + (-12)^2)
  = sqrt(49 + 144)
  = sqrt(193)

Since the lengths of segment JK and segment DE are both sqrt(193), they are congruent.

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Answer:

4

Step-by-step explanation:

a≈4

All the segments that are parallel to GH in the given shape are, BC, AD and FI. Option A

How to identify all segments parallel to GH

To identify all segments parallel to GH, understand the basic structure of a cuboid and its faces.

A cuboid is a three-dimensional shape with six rectangular faces. Each face of the cuboid is parallel to the opposite face. This property allows us to identify segments that are parallel to each other within the cuboid.

To identify segments parallel to a specific segment in a cuboid, follow these steps:

Understand the orientation of the cuboid:

Visualize the cuboid and identify its three pairs of opposite faces. These faces are parallel to each other.

Identify the given segment:

Determine the specific segment in the cuboid to which you want to find parallel segments.

In this case GH

Locate the faces that contain the given segment:

Identify the faces that contain the given segment. These faces will be parallel to each other.

Based on the highlighted steps above, by visualization,

Segment BC is parallel to GH

Segment AD is parallel to GH

Segment FI is parallel to GH

Therefore, all the segments that are parallel to GH are, BC, AD and FI. Option A

Like terms are terms that have the same variable and power/exponent.

-4q - (-8q) + 10   (two negative signs cancel each other out and become positive)

-4q + 8q + 10     The only like terms you can combine are -4q and 8q, because they have the same variable of q and an exponent of 1.

4q + 10        (this is as far as you can simplify)

Answer:

1. 48x + 24= 24(2x + 1)

2. 18n + 36= 18(n + 2)

3. 15 + 12k= 3(5+4k)

Step-by-step explanation:

1. What factor both goes into 24 and 48? 24 does!

so, 48x + 24= 24(2x + 1).

2. What factor both goes into 18 and 36? 18 does!

so, 18n + 36= 18(n + 2).

3. What factor both goes into 15 and 12? 3 does!

so, 15 + 12k= 3(5+4k).

Final answer:

The distributive property allows us to create equivalent expressions by factoring out a common factor from each term, resulting in expressions like 24(2x + 1), 18(n + 2), and 3(5 + 4k) for 48x + 24, 18n + 36, and 15 + 12k respectively.

Explanation:

To use the distributive property to write equivalent expressions for each of the following:

48x + 24: Both terms are divisible by 24. Therefore, the equivalent expression using the distributive property is 24(2x + 1).

18n + 36: Both terms are divisible by 18. Therefore, the equivalent expression using the distributive property is 18(n + 2).

15 + 12k: Both terms are divisible by 3. Therefore, the equivalent expression using the distributive property is 3(5 + 4k).

In each case, identifying the common factor and using it to factor out the original expression creates an equivalent expression where the terms inside the parenthesis are the results of dividing the original terms by the common factor.

31. the minimum perimeter of the rectangle is ( 38 ) inches.

32.the maximum perimeter is ( 170 ) inches.

To find the minimum and maximum perimeter of the rectangle, we need to consider all possible combinations of length and width that yield an area of 84 square inches.

Given that the area of the rectangle is 84 square inches, we can find all the pairs of factors of 84. These pairs will represent the possible combinations of length and width.

The pairs of factors of 84 are:

1. [tex]\( 1 \times 84 \)[/tex]

2. [tex]\( 2 \times 42 \)[/tex]

3. [tex]\( 3 \times 28 \)[/tex]

4. [tex]\( 4 \times 21 \)[/tex]

5. [tex]\( 6 \times 14 \)[/tex]

6. [tex]\( 7 \times 12 \)[/tex]

Now, we calculate the perimeter for each pair:

1. [tex]\( \text{Perimeter} = 2 \times (1 + 84) = 2 \times 85 = 170 \)[/tex]

2. [tex]\( \text{Perimeter} = 2 \times (2 + 42) = 2 \times 44 = 88 \)[/tex]

3. [tex]\( \text{Perimeter} = 2 \times (3 + 28) = 2 \times 31 = 62 \)[/tex]

4.[tex]\( \text{Perimeter} = 2 \times (4 + 21) = 2 \times 25 = 50 \)[/tex]

5.[tex]\( \text{Perimeter} = 2 \times (6 + 14) = 2 \times 20 = 40 \)[/tex]

6.[tex]\( \text{Perimeter} = 2 \times (7 + 12) = 2 \times 19 = 38 \)[/tex]

Therefore, the minimum perimeter of the rectangle is ( 38 ) inches, and the maximum perimeter is ( 170 ) inches.

Answer:

I keep getting 141.421... so rounded it would be 141.4

Step-by-step explanation:

The length of the interior diagonal of the box is approximately 141.4 cm.

Suppose the base of the prism has length = l units, and width = w units.

Suppose that the height of the prism is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]

is the volume of that prism.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

We are given that;

Height= 100cm

Width=80cm

Length=60cm

Now,

Using the Pythagorean theorem, we can find the length of the interior diagonal as:

diagonal = sqrt(l^2 + w^2 + h^2)

diagonal = sqrt(100^2 + 80^2 + 60^2)

diagonal = sqrt(10000 + 6400 + 3600)

diagonal = sqrt(20000)

diagonal ≈ 141.4

Therefore, the length of the diagonal of prism will be 141.4

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Answer:

i believe its 1/6

Step-by-step explanation:

The probability of guessing a 3-digit combination correctly, with no repetition, is 1 out of 720 option C.

To calculate the probability of getting a 3-digit combination correct where no digits can be repeated, you can use the concept of permutations.

For the first digit, you have 10 options (0 through 9). For the second digit, since no digit can be repeated, you have 9 options left. For the third digit, you have 8 options left.

So the total number of possible combinations is [tex]\(10 \times 9 \times 8 = 720\).[/tex]

Therefore, the probability of getting the correct combination is:

[tex]\[\frac{1}{720}\][/tex]

So, the correct answer is option C) 1/720.

Complete Question:

What is the probability that you will get a 3-digit combination correct if no digits in the combination can be repeated?

A) 1/10

B) 1/504

C) 1/720

Answer:

so maybe the answer will be 20.25m^

Weight of each rock is 14.8 ounces.

Step-by-step explanation:

Given,

Total number of rocks = 10

6 rocks weigh 10 ounce each

4 rocks weigh 22 ounce each.

To find the the weight of each rock.

Now,

Weight of 6 rocks = 10×6 ounces = 60 ounces

Weight of 4 rocks = 22×4 ounces = 88 ounces

So,

Weight of 10 rocks = 88+60 = 148 ounces

Hence,

Weight of each rock = 148÷10 = 14.8 ounces.

Answer:  6 oz.

Step-by-step explanation:

Just did it.

set Up a ratio:

2 inches / 45 miles = x inches / 315 miles

Solve for x

Cross multiply:

45x = 630

Divide both sides by 45

X = 630 /45

X = 14 inches apart

Answer:

simplification of the equation is:

14x-21

Answer: the answer is gonna be A if you want to be exact

Step-by-step explanation: does not state how many dentist were interviewed.

Answer:is there a picture included in this promblem

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

It can`t be -4 because -4² = +16 and it can`t be 4² because 4² = +16

In other words, there is nothing you can square to get -16.

Step-by-step explanation:

It izz wat it izzzz!!!

Answer:

y = 5/2 x

Step-by-step explanation:

First we need to find the slope

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

    = (5-0)/(2-0)

     = 5/2

We know the y intercept is 0 since it goes through the origin

y = mx+b

y = 5/2 x +0

y = 5/2 x

Answer:

Radius: 12 in.

Circumference =

[tex]2\pi \: r[/tex]

= 2 x 3.14 x 12

= 75.36 in.

Radius: (12 - 4) in. = 8 in.

Circumference = 2 x 3.14 x 8

= 50.24 in.

Answer:

she will jog 660

Step-by-step explanation:

(100+65)×2=1 lap

330×2=2 laps (660yards)

Final answer:

Allyson will jog around the perimeter of the soccer field twice, which totals 660 yards.

Explanation:

Allyson is jogging around a soccer field that has dimensions of 100 yards long and 65 yards wide. To find out how far she will jog, we need to calculate the perimeter of the field and then multiply it by the number of times she jogs around it.

Calculating the Perimeter:

The perimeter P of a rectangle is given by P = 2(length + width). In this case:

So the perimeter of the soccer field is:

P = 2(100 yards + 65 yards) = 2(165 yards) = 330 yards.

Total Distance Jogged:

Since Allyson jogs around the field twice, the total distance she will jog is:

Total Distance = Perimeter × Number of Laps = 330 yards × 2 = 660 yards.

Therefore, Allyson will jog a total distance of 660 yards.

Answer:

im pretty sure its median

Step-by-step explanation:

Mean and median can be used to describe two data sets that are both symmetric.

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgement as to what constitutes aberrant behaviour.

Given:

Two symmetric data sets are described by the following measure of centre:

The mean and median are two numerical measures of centre that, if the distribution is symmetric, can determine the centre as the average value; otherwise, the median can be employed because it is not robust against outliers.

For example : Height of 3 students in 70, 72, 74

Mean of students= (70 +72+ 74)/ 3 = 72

and, median = 72

Hence, mean and median can be used.

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Answer:

y=mx+b     m= slope     b=Y-Intercept

4=5(-2)+b

Answer:

4=5(-2)+b

Step-by-step explanation:

hope this helps

The point-slope equation for the line passing through (-2, -20) and (9, 79), is y = 9x - 2.

To find the point-slope equation for the line that passes through the points (-2, -20) and (9, 79), we first need to calculate the slope (m). The formula for the slope is given by:

m = (Y2 - Y1) / (X2 - X1)

Using the given points, we get:

m = (79 - (-20)) / (9 - (-2)) = 99 / 11 = 9

Now, using the point-slope form of the equation y - y1 = m(x - x1), and the first point (-2, -20), we have:

y - (-20) = 9(x - (-2))

Simplifying this, we get:

y + 20 = 9(x + 2)

Or

y = 9x + 18 - 20

y = 9x - 2

This is the point-slope equation for the line that passes through the points.