put the following equation of a line into slope-intercept form, simplifying all fractions. 4x + 3y = -3​

Answer:

oh yeah thats the 3rd one

Step-by-step explanation:

The athlete can cover 4.5 km in 30 minutes. Hence, option C is correct.

Important information:

We need to find the distance covered by the athlete in 30 minutes.

We know that 1 hour = 60 minutes. So,

The distance covered in 60 minutes is 9 km.

The distance covered in 1 minute is [tex]\dfrac{9}{60}[/tex] km.

The distance covered in 30 minutes is [tex]\dfrac{9}{60}\times 30=4.5[/tex] km.

Therefore, the athlete can cover 4.5 km in 30 minutes. Hence, option C is correct.

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Answer: the circumference is 25.13 and the area is 50.26 if rounding up then 50.27

Step-by-step explanation: to find circumference it is 2piR and to find the area it is piR^2

Answer:

282 square units

Step-by-step explanation:

I just answered this question

The total surface area of the composite figure is 282 square units. Thus, the correct option is C.

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The top two nets are triangular prisms connected to the bases of a rectangular prism. The composite image is made up of all three prisms. The dark sections represent faces shared by the prisms.

The total surface area of the composite figure is calculated as,

A = 4(1/2 x 3 x 4) + 2(5 x 10) + 2(4 x 10) + 2(3 x 3) + 2(3 x 10)

A = 24 + 100 + 80 + 18 + 60

A = 282 square units

Thus, the correct option is C.

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Answer:

-5

Step-by-step explanation:

f(2) = 2 * f(2-1) + 1

f(2) = 2 * f(1) + 1

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

f(2) = (-6) + 1

f(2) = -5

Answer:

-3/5

Step-by-step explanation:

6x + 10y = 8

10y = -6x + 8

10y/10 = -6x/10 + 8/10

y = -3/5x + 4/5

Does that help?

Answer:

$6600

Step-by-step explanation:

3000+3600=6600

Answer:

Their total budget was $42000 last year.

Step-by-step explanation:

8% = 0.08

1.) 0.08( x + 3000 ) = 3600

2.) Distribute:

0.08x + 240 = 3600

3.) Use inverse operation to solve. Subtract 240 from each side:

0.08x + 240 = 3600

           - 240 = - 240

          0.08x = 3360

3.) divide 0.08 from each side:

0.08x = 3360

x = 42000

Answer: C -1.9

Step-by-step explanation:

The rate of change of this simple index over 1 week given the change in the stock prices is -1.9%.

The rate of change is the difference in the total value of the simple index.

Total value of the simple index at day 1 = (4000 x $3.15) + (5000 x $4.30) + (6000 x $4.60) = $61,700

Total value of the simple index at day 8 = (4000 x $3.50) + (5000 x $3.90) + (6000 x $4.50) = $60,500

Rate of change = (60,500 / 61700) - 1 = -1.9%

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Answer:

B. 35

Step-by-step explanation:

1. Multiply 15 by 21 to get 315 ft.

2. Convert square feet to square yards to get 35

3. There are 3 feet in ONE yard. The question asks you to convert the area from SQUARE feet to SQUARE yards. Squared means two. Three feet (or one yard) doubled is 9, so divide 315ft by 9.

4. 315 divided by 9 gives you 35

(This answer is correct according to the Official 2020-2021 ACT Practice Test answer sheet)

The area of the floor in square yards will be 315 square feet's.

The area of the square and rectangle is -

Square = [x]²           {x is the side of a square]

Rectangle = L x B    {L is the length and B is breadth}

Given is a room has a rectangular floor that is 15 feet by 21 feet.

We have room that has a rectangular floor that is 15 feet by 21 feet.

The area of the rectangle will be -

A = 15 x 21

A = 315 square feet's.

Therefore, the area of the floor in square yards will be 315 square feet's.

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Answer:

7 birds

Step-by-step explanation:

Let b = number of birds

c = number of cats

We know there were 13 birds and cats

b+c =13

It is $2 per bird and $5 per cat for a total of $44

2b+5c =44

 Solve b+c =13 for c by subtracting b from each side

c = 13-b

Now we can substitute this into the second equation

2b+5c =44

2b + 5(13-b) =44

Now distribute

2b+65 -5b = 44

Combine like terms

-3b +65 =44

Subtract 65 from each side

-3b +65-65 =44-65

-3b = -21

Divide each side by -3

-3b/-3 = -21/-3

b=7

There were 7 birds

We could also find the number of cats

c =13-7

c =6

Answer:

7 birds

Step-by-step explanation:

No. of birds: x

No. of cats: y

2x + 5y = 44

x + y = 13

x = 13 - y

2(13 - y) + 5y = 44

26 - 2y + 5y = 44

3y = 18

y = 6

x = 13 - 6

x = 7

Answer:

C - x = -4 and x = 3

Step-by-step explanation:

Set (x+4) = 0

x = -4

set (x-3)=0

x=3

Answer:

c) x = -4 and x = 3

Step-by-step explanation:

(x+4)(x-3)=0  

x+4=0 ( You want to find the x value, so we subtract 4 for both sides to get rid of +4)

x +4 -4 = 0 -4

x = -4

x-3=0 ( The same thing, but add 3 either side to get rid of -3 )

x-3 +3 = 0+3

x= 3

Answer:

15000.0

Step-by-step explanation:

Answer:

Step 1:  Round to the nearest hundredth

It is already rounded to the tenth so rounded to the hundredth would just add a 0.

14991.10

Answer:  14991.10

If you meant hundreds:

14991.10

Since the tens place is greater or equal to 5, you round up the hundreds place.  This will make the thousands place go up by one.

14991.10

15000

Answer:

325 servings

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a circle is

[tex]A=\pi r^2[/tex]

We are given the diameter, but need the radius.  The radius is half the diameter, so the radius is 8 feet.  Plugging into the formula and using 3.14 for π:

A = (3.14)(64) so

A = 200.96 sq feet which rounds to 201.  I guess that's the first choice there, but not quite exact...

Final answer:

The area of the circle with a diameter of 16 ft is (Option A) 201.1 sq ft.

Explanation:

The area of a circle can be found using the formula A = πr², where A is the area and r is the radius. However, in this case, we are given the diameter instead of the radius. The diameter is twice the length of the radius, so we can calculate the radius by dividing the diameter by 2. Given that the diameter of the circle is 16 ft, the radius would be 16/2 = 8 ft.

Now, we can use the formula A = πr² to find the area. Plugging in the radius value, we get A = π(8 ft)² = π(64 ft²) ≈ 201.1 sq ft.

Lynn starts with 14.3 gallons in her gas tank.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

She put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank.

We have to determine the number of gallons did she start with

As per the given question, the required evaluation would be as:

Initial gallons = current gallons - put gallons

Initial gallons = 18 1/6 - 3 7/8

Convert the improper fractions into decimals,

Initial gallons = 18.167 - 3.875

Apply the subtraction operation, and we get

Initial gallons = 14.292 ≈ 14.3

Therefore, she starts with 14.3 gallons in her gas tank.

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Answer:

-8/3

Step-by-step explanation:

should be -8/3

cotangent is the reciprocal of tangent

tan 0 = -3/8

cot 0 = 1/tan 0 = 1 / (-3/8) = 8/-3 = -8/3

Answer: 1/-3/8

Step-by-step explanation:

Answer:

Explanation:

The table is:

AIRPLANE LIFTING FORCE

Area of Wings   Lifting Force

(square feet)        (pounds)

    125                    1,875

    150                   2,250

    175                   2,625

    250                  3,750

       x                    5,625

    420                      y

The ratio of lifting force to the area is equivalent for all pairs in the table. What are the values of x and y?

1. Calculate x:

Ratio of lifting force to the area for the first pair (row):

Ratio of lifting force to area for the pair with x:

Set the proportion:

Equal the two ratios

Multiply both sides by 5,625 (multiplication property of equalities):

2. Calculate y:

You can use the same know ratio for the first pair: 125/1,875

And set the corresponding proportion, with y:

Invert both sides:

Multiply both sides by 420

The answer is x = 375 square feet and y = 6,300 pounds.

Answer:f⁻ (x) = 7 - 21 x.

We can also write it as:

y = 1/3 - 1/21 x

1 / 21 x = 1 / 3 - y

x = 7 - 21

To find the inverse of the function f(x) = 1/3 - 1/21x, interchange x and y in the equation, solve for y, and denote it as the inverse function, resulting in [tex]f^-1(x) = 7 - 21x[/tex].

The student is asking to find the inverse of the function f(x) = 1/3 - 1/21x. To find the inverse function, we need to first rewrite the function in the form y = 1/3 - 1/21x. Next, we switch x and y to get x = 1/3 - 1/21y. Then, solve for y, giving us the inverse. The steps are:

f-1(x) = 7 - 21x

Answer:

25% or 1/4

Step-by-step explanation:

There altogether 100 boys and girls together and the probability of one color would be 25. Therefore 25/100 would your fraction but it has to be simplified so then the answer would be 1/4

Answer:

[tex]5(2)(6) = 60[/tex]

The answer is -1

Step-by-step explanation:

Given:

AB = 9 in, BC = 2 in

DE = 3 in, EF = 3 in

To find:

The area of the shape

Solution:

ABCH is a rectangle.

Area of rectangle = length × width

                             = AB × BC

                             = 9 × 2

Area of ABCH = 18 in²

GDEF is a square.

Area of square = side × side

                         = DE × EF

                         = 3 × 3

Area of GDEF = 9 in²

Area of the shape = Area of ABCH + Area of GDEF

                              = 18 in² + 9 in²

                              = 27 in²

The area of the shape is 27 in².

Answer:

5

Step-by-step explanation:

4/4 crosses out and 20/4=5 so x=5

Answer:

x = 5

Step-by-step explanation:

since the work is already done for you, all you have to do is divide 20 by 4, which gives you 5.

you can also check this answer by multiplying 4 by 5, which would give you 20, further proving the answer.

The ratio of the surface areas of the cone shown is 16 : 9.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given are two cones.

Also given that,

Ratio of the radii of the cones = 4 : 3

It is given that both cones are similar figures.

So scale factor = 4/3

Surface area of a cone = πr² + πr√h²+r²

Now the surface area is proportional to the square of the radii of the cone.

So ratio of surface area = 4² / 3² = 16 / 9

Hence ratio of the surface area of the cones is 16 : 9.

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Answer:

the probability is 1/12

Step-by-step explanation:

The probability, P(Tails) to get tails is equal to:

[tex]P(Tails)=\frac{1}{2}[/tex]

Because a penny have two possible options heads or tails and tails is one option.

Additionally, the probability P(3) that the number cube get a 3 is equal to:

[tex]P(3)=\frac{1}{6}[/tex]

Because the cube have 6 possible options and 3 is one option.

Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:

P(tails and 3) [tex]=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

First we calculate the probability of the coin tossed being a tails.

The coin has two sides (heads and tails), so the probability of each case is 1/2, so the probabilty of having a tails is 1/2

For the number cube, we have six possibilities, so the probability of having a number 3 is 1/6

Now, to find the final probability P(tails and 3) we just need to multiply both probabilities:

P(tails and 3) = P(tails) * P(3) = (1/2) * (1/6) = 1/12

Answer: all real numbers expect ZERO

Step-by-step explanation:

Answer:

sOoRrY bUt i cAnT rEaD

Answer:

1,2,4

Step-by-step explanation:

edg

The median and interquartile range is used as a measure of center and measure variability to compare populations when:

When there are outliers in the data sets

When there are no big gaps in the middle of the data sets

When the plots representing the data are symmetrical

When there are no outliers in the data set

We have,

Use the median and interquartile range as measures of center and variability to compare populations shown on a box plot in the following scenarios:

- When there are outliers in the data sets:

The median and interquartile ranges are resistant to outliers, meaning they are not significantly influenced by extreme values.

- When there are no big gaps in the middle of the data sets:

The median is a measure of the center that is not affected by extreme values or outliers, making it appropriate when there are no significant gaps or clusters in the middle of the data sets.

The interquartile range, which measures the spread of the central 50% of the data, is also less influenced by extreme values compared to the range or standard deviation.

- When the plots representing the data are symmetrical:

The median is a suitable measure of center for symmetrical distributions, where the data is evenly distributed around the middle.

In such cases, the median provides a representative measure of the central tendency.
The interquartile range also captures the spread of the data within the central 50% and can be used as a measure of variability.

- When there are no outliers in the data set:

While the median and interquartile ranges are resistant to the influence of outliers, they can still be used effectively to compare populations when no outliers are present.

In the absence of outliers, the median accurately represents the central tendency, and the interquartile range provides a robust measure of variability.

Therefore,

When there are outliers in the data sets

When there are no big gaps in the middle of the data sets

When the plots representing the data are symmetrical

When there are no outliers in the data set

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