One car leaves town traveling at 72 miles per hour (mph). An hour later, a second car leaves the same town, on the same road, traveling at 90 mph. In how many hours will the second car overtake the first?

Hey!!

r=46

t=5

now,

D=RT

= 46*5

=230

the value of d is 230

hope it helps..

Answer:

230 is the answer

Step-by-step explanation:

Since r and t are given in the question as

r=46 and t=5

Substitute the value of r and t which is given in the polynomial

So it'll be,

d=rt

d = 46 x 5

= 230

Therefore d is 230 units

Hope this helps!

Answer: 1/6x1/5

You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.

Hope this helps <3

-Carrie

Be sure to mark brainliest

:)

Answer:

2.4 hours

Step-by-step explanation:

after an hour the distance between them will be 80+70=150 miles

1 hour  .......150 m

x hours .......360 m

x*150=360

x=360/150

x=2.4 hours

Answer: 2.4 hours

Step-by-step explanation:

Distance = speed x time

1st train = 80t

2nd train = 70t

80t + 70t = 360

t = 360/150 = 2.4 hours

Answer:

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.

Answer:

A. 0.003

Step-by-step explanation:

When using decimals to represent a percentage it goes as follows:

100% = 1

75% = 0.75

50% = 0.5

25% = 0.25

1% = 0.01

And in the case of this problem: 0.3% = 0.003

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

Answer:

n = 7

Step-by-step explanation:

n = (-1) x (-7)

Simplify:

When two minus signs appear in the product of two numbers, you can cancel them out.

Therefore:

n = (1) x (7) = 7

Hope this helps!

:)

Answer:

one dollar 75 cents

Step-by-step explanation:

lets write the original equation again

5v+7f=28.70

now, lets put in the cost of the fruit to find cost of veggies

5v+7(2.85)=28.70

5v+19.95=28.70

5v=8.75

5=1.75

Answer:

Answer: $1.75

Step-by-step explanation:

Each pint of fruit = $2.85

7 pints of fruit = 2.85 x 7 = 19.95

5 pints of veggies will cost

28.70 - 19.95 = 8.75

Each pint of veggies = 8.75 / 5 = 1.75

Answer:

4/81

Step-by-step explanation:

1/4, 1/6, 1/9, 2/27 series

So the common ratio is 2/3

Answer:

it's a 152

Step-by-step explanation:

The surface area of the rectangular prism is S = 232 inches²

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

A serving tray is in the shape of a rectangular prism without a top.

And , dimensions of the tray are 8 inches by 10 inches by 2 inches.

So , surface area A = 2(80) + 2(16) + 2(20)

A = 160 + 32 + 40

A = 232 square inches

Hence , the surface area is 232 inches²

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Answer:

600

Step-by-step explanation:

% of students in the band = 28%

No. of students who are in the band = 168

Let us take the total no. of students as x

So, 28/100×x=168

= 600

Answer:

AnSwEr Is C

Step-by-step explanation:

in khAN

The value  -16.5 tells us the displacement between his current position and his initial position.

Displacement is defined as the minimum distance between two points. It is a vector quantity and needs direction with magnitude.

It is given that

Initial position =14.2 m

Final position=-2.3 m

14.2+(16.5)=-2.3

To understand this, we need to first calculate the displacement between his initial and final position

Displacement = Final pposition - Initial position

Displacement= -2.3-14.2

Displacement =-16.5 m

So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)

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Answer:

a) The bacterium is longer;

b) The bacterium is 0.1543 mm longer than the yeast.

Step-by-step explanation:

In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.

[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]

a) The bacteria is longer than the yeast.

b) We need to subtract their length in order to find this answer:

[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]

Answer:

x = 25

Step-by-step explanation:

Complementary angles add to 90 degrees

x+65 = 90

Subtract 65 from each side

x = 90-65

x = 25

The Definition of Complementary Angles states that if two angles are

complementary, then the sum of their measures is 90°.

To find the complement of an angle, we take 90 degrees minus the

measure of the angle which in this case 90° - 65° or 25°.

So the complement of the 65° angle measures 25°.

============================================================

Explanation:

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value, so the answer is confirmed.

The equation that connects x and y, is,   y = 12/(x^2).

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value,

Hence, The equation that connects x and y, is,   y = 12/(x^2).

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Answer:

[tex] \boxed{Fencing \: need \: to \: buy \: for \: the \: entire \: perimeter = \frac{40}{3} \: yards} [/tex]

Step-by-step explanation:

Length of rectangular garden (l) = 16 feet

Width of rectangular garden (w) = 4 feet

[tex] 3 \: feet = 1 \: yard \\ \\ 1 \: feet = \frac{1}{3} \: yard [/tex]

[tex] \\ = > Perimeter \: of \: rectangular \: garden = 2(l + w) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(16 + 4) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40 \: feets \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =40 \times \frac{1}{3} \: yards \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{40}{3} \: yards[/tex]

Answer:

4.

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Step-by-step explanation:

[tex]18x^2-24x+87=0[/tex]

Using Quadratic Formula

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]

Solving the discriminant:

[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]

[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]

[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]

Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]

[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]

Dividing the denominator and numerator by 6

[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]

Now rewrite it:

[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]

[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]

or

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Answer:

Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.

Step-by-step explanation:

Answer:

B,C,D

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

ok

Answer:

I will try but how many are there?

Step-by-step explanation:

Answer:

52 brownies

Step-by-step explanation:

If you divide 17.16 by 0.33, you get 52

Answer:

90 degrees.

Step-by-step explanation:

Add all of the degrees together 270 plus 90 its makes a 360 degree.

Answer:

12 divided by 1/2 = 24

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

180-142=38

Answer:

180-142 (supplementary angles)

38

____________________________________

Hey!!

Solution,

Diameter (d)=17 cm

Radius(r)=17/2=8.5 cm

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*8.5

=53.38 cm

The right answer is 53.4cm

Hope it helps

Good luck on your assignment

_________________________________

Answer:

13.39 Euros

Step-by-step explanation:

The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809

Answer:

6

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

Answer:

78-56=22 degrees

Step-by-step explanation:

You wanna take away 56 degrees from 78 degrees and you will get ....