Peter determined the area, in square miles, of a piece of land using his calculator. The result of his calculation is displayed on his calculator in scientific notation as 7.4e – 4.
Which statement is true of the area of the piece of land?

Answer:

3

Step-by-step explanation:

15*1/5= 3

Answer:

720 inches

Step-by-step explanation:

On her blueprint, which is 1/20 the size of the actual garden

the width of the garden is 36 inches.

What is the width of the actual garden?

Let width of the actual garden = x

1/20 of x = 36

1/20 * x = 36

x = 36 ÷ 1/20

x = 36 * 20/1

x = 720

x = 720 inches

The width of the actual garden = 720 inches

Answer:

A) 18

B)9

C)-2

Step-by-step explanation:

Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.

Answer:

6b + 2

Step-by-step explanation:

If Val is planting b seeds in one and 5b + 2 in the other, the expression showing the total is: b + (5b + 2) or 6b + 2 seeds.

Answer:

21.2863≈21.3 feet

Step-by-step explanation:

Answer:

21.3

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

do i need to?

Answer:

x=8

Step-by-step explanation:

63+90+2x+11=180

Answer:

B

Step-by-step explanation:

Add 63 and 90 to find the left angle. Then subtract by 180.

Since that answer is 27, add it to 90 and subtract by 180 to find the last angle in the middle. then finally the angle in the corner should equal 27 since the triangles are congruent.

Answer:

Step-by-step explanation:

First factor the polynomials and reduce the fractions.

Answer:

x

=

2

±

√

7

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of  

completing the square

the coefficient of the  

x

2

term is 1

∙

add subtract  

(

1

2

coefficient of the x-term

) 2  to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

Answer:

90°

Step-by-step explanation:

40+50+x=180

x=90

Answer: hello your question is not well written but it seems you are asking for the Total distance covered during the rides hence i will give you a general solution

Total distance travelled during rides = 16.36 km

Total duration of rides = 1 hour

Step-by-step explanation:

Given that :

b = number of hours from house to beach

p = number of hours from beach to park

since the total duration of the rides = 1 hour

hence: b + p = 1 ------ ( 1 )

Also ; speed from house to beach = 18 km/hr

         speed from beach to park = 15 km/hr

Given that distance covered in both directions are equal and distance = s * t

Hence distance covered :   18b = 15p ------  ( 2 )

determine the total distance travelled

b + p = 1 ------ ( 1 )

18b = 15 p ----- ( 2 )

from equation 1 : b = 1 - p

18 ( 1 - p ) = 15p

18 = 15p + 18p

p = 18 / 33 = 6/11

back to equation 1

b + 6/11 = 1

hence b = 1 - 6/11 = 5/11

Distance covered in one direction

18 ( 5/11 ) = 15 ( 6/11 )

90 / 11  = 90 /11

hence Total distance covered = ( 90 / 11 ) * 2 = 16.36 km

Answer:

59.85

Step-by-step explanation:

The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70

σ is the population standard deviation = 7

z = -1.45

Hence:

-1.45 = x - 70/7

Cross Multiply

-1.45 × 7 = x - 70

-10.15 = x - 70

x = -10.15 + 70

x = 59.85

Answer:

4.6cm

Step-by-step explanation:

The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.

It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

Driveway length = 200 feet

Diameter of the tire = 10 inches

For converting it to feet divide by 12.

Now the diameter of tire = 18/12 = 1.5 feet

Radius of the tire = 0.75 feet

We know the perimeter of the circle:

[tex]\rm P = 2\pi r[/tex]

P = 2(π)(0.75)

P = 4.71 feet   ( π =3.14 and P = 0.75)

[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]

[tex]= \frac{200}{4.71}[/tex]

Number of tire rotation = 42.462 ≈ 42

Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

Learn more about circle here:

brainly.com/question/11833983

Answer:

x=2

Step-by-step explanation:

Primero, necesitamos calcular <<a>>

Sabemos que AD=BC y AB=CD porque lados opuestos congruentes

Entonces, vamos a calcular <<a>>.

Usamos AD y BC

2a-1=4a-15

suma 15 a ambos lados

2a+14=4

añada 2 en ambos lados

14=2a

divida

7=a

Ahora, usamos esta información para calcular <<x>>

Usamos CD=AB

2a-8=4x-2

pero sabemos que <<a>> es 7

entonces:

14-8=4x-2

6=4x-2

8=4x

2=x

<<x>> es 2

(¡lo siento mi español no es perfecto!

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable

            aluminum from the delivery truck to a storage area. A smaller belt

            moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are​ used, find how long it takes to move the cans

              to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min

Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min

Now,

[tex]\frac{1}{4}[/tex]  + [tex]\frac{1}{6}[/tex]  = [tex]\frac{1}{x}[/tex]

⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]

⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]

⇒10x = 24

⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Answer:

$250.8

Step-by-step explanation:

13.4 = $2.85

13.4 x 15 = 111.0

111.0 = $42.75

111.0 x 6 = 666.0

666.0 - 26.0 = 640.0

$42.75 x 6 = $256.5

$2.85 x 2 = $5.07

$256.5 - $5.07 = $250.8

not gona lie this took forever lol

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

The total cost of 640 liters of gas is $35.91.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Gas from a local station costs $2.85 per gallon (in US dollars).

We know that, 1 gallon = 3.785 liters

Tara's car gets 13.4 kilometers to the liter.

Number of liters of gas = 640/13.4

= 47.76 liters

Number of gallons = 47.76/3.785

= 12.6 gallons

Total cost = 12.6×2.85

= $35.91

Therefore, the total cost of 640 liters of gas is $35.91.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

D

Step-by-step explanation:

Remember, area equals width x height so you can set up this equation.

[tex]48x^8y^7=6x^2y^4 * w[/tex]

Solving for w,

[tex]\frac{48x^8y^7}{6x^2y^4} =w[/tex]

Simplifying,

[tex]8x^6y^3[/tex]

Thus, D is the answer

Answer:

9.55 cm

Step-by-step explanation:

A quadrant of a circle is 1/4 of a circle.

Since the curved edge is 15 cm, a full circle would be 60 inches.

60/Pi = diameter

diameter = 60/3.14 = 19.11 cm

diameter/2 = radius

radius = 19.22/2 = 9.55 cm which is the length of a straight edge.

Answer:

Step-by-step explanation:

3r+4+8r-2 = 90

11r +2 = 90

11r= 88

Answer:

∠ R = 120°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 , that is

subtract 60 from 180

∠ R = 180° - 60° = 120°

Answer:

X is directly proportional to y means the value of x is dependent on the value of y. y may not be dependent on x in this case.

Y is directly proportional to x means the value of y is dependent on the value of x. Same as above, in this case, the value of x may not depend on y.

Answer:

V=1526.82 mi³

Step-by-step explanation:

The formula for the volume of a right circular cone is V=πr²(h/3).

The radius is half of the diameter of 18, so it is 9 mi.

The height is 18 mi.

Plug in your numbers into the formula.

V=π9²(18/3)

V=π81(6)

V=π486

V=1526.82 mi³

Answer:

9

Step-by-step explanation:

So the formula for a triangular pyramid is v=1/3bh

you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21

and then you check answers with

63=1/3(21)(9) which is true so the height is 9

Answer:

can't see the question ⁉️

Answer:

oc)0.83

Step-by-step explanation:

have a good day!!!

Answer:

(A:

Step-by-step explanation:

EXAMPLE:

in Slope Intercept form, the letter x determines the slope of the line, where 0 makes the line horizontal and 1 makes the line at a 45 degree angle, in this case to go from x to x plus 1 you would climb y two times, so it takes two units to go one unit to the right, so x is multiplied by 2

the addition at the end of the formula resembles how high up or down the line crosses the y axis, if the number is positive, then the line crosses that amount higher then 0, if it were a negative number, it would cross that much lower

hope this makes sence, dont worry, once you understand how slope intercept form works, you will never forget it, good luck with ur studies :)

MEGA CREDITS to MisterZeng for double checking our work, thx m8 :D

Answer:

[tex]n^{3} + 15n^{2} + 56n[/tex]

Step-by-step explanation:

First FOIL  (n + 7)(n + 8) and then distribute n

(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]

 n ([tex]n^{2} +15n + 56[/tex])

= [tex]n^{3} + 15n^{2} + 56n[/tex]

Answer:

10

Step-by-step explanation:

Tₙ=n+5

T₅=5+5=10