Billy drove his car 290 miles in 5 hours. Sheila drove her car 132 miles in 2 hours. If each driver is traveling at a constant speed (in miles per hour), who is driving at a faster speed?​

Answer:

Approximately 3.81 seconds

Step-by-step explanation:

d = 3t + 5t²

d = 84

84 = 3t + 5t²

3t + 5t² - 84 = 0

5t² + 3t - 84 = 0

5(t² + 3/5t - 84/5) = 0

5(((t + 3/10)² - 9/100) - 84/5) = 0

5((t + 3/10)² - 9/100 - 84/5) = 0

5((t + 3/10)² - 9/100 - 1680/100) = 0

5((t + 3/10)² - 1689/100) = 0

5(t + 3/10)² - 1689/20 = 0

5(t + 3/10)² = 1689/20

(t + 3/10)² = 1689/100

t + 3/10 = ±√(1689)/10

t = -3/10 ± √(1689)/10

t = -3/10 ± ≈41.1/10

t = -3/10 ± ≈4.11

t ≈ -0.3 ± 4.11

t [can only be positive] ≈ 4.11 - 0.3

t ≈ 3.81

Answer:

5852.86 = 5000 (1+ .032)^5

1170572956 = 1,000,000,000(1+ .032)^5

Step-by-step explanation:

Answer:  2 tokens

Step-by-step explanation: 6 and 12 are both able to be divided by 2 i dunno

Answer:

b

Step-by-step explanation:

Answer:

66 degrees

Step-by-step explanation:

if there are 66 one degree angles, all alll those together to get 66 degrees in total

The measure of the angle that is given with the given parameter is; 66°

We are told that ang angle is made up of 66 one-degree angles. Now, this means that each of the section of the main angle is one degree.

Thus, the value of 66 numbers of that angle will be;

66 * 1 = 66°

In conclusion, the measure of the angle is 66°.

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Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Answer:

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Step-by-step explanation:

Answer:

189 yards cubed, hope this helped! :D

Step-by-step explanation:

Answer:

45.92

Step-by-step explanation:

50%=14

10%=2.8

4%=1.12

64%=19.92

19.92+28= 45.92

Answer:

The loaf of brown bread contains a higher percentage of flour.

Step-by-step explanation:

To find the percentage of flour, we divide the amount of flour by the weight of the bread, and then multiply by 100. So

400g loaf of white bread:

228g of flour

[tex]P = \frac{228*100}{400} = 57\%[/tex]

57% of flour

800g loaf of brown bread:

472g of flour

[tex]P = \frac{472*100}{800} = 59\%[/tex]

59% of flour, so, a higher percentage

Answer:

yup 12

Step-by-step explanation:

Answer:

There were 118,637 personal care aides in 2014.

Step-by-step explanation:

By 2024, there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 levels.

This means that the 2014 levels is 100% - 26% = 74% of the 2024 levels.

Number of personal care aides in 2014:

74% of 160,320. So

0.74*160320 = 118,637

There were 118,637 personal care aides in 2014.

Answer:

2(x-4) + 2(2x+8) OR long way (x-4) + (x-4) + (2x+8) + (2x+8)

Step-by-step explanation:

2(x-4) represents the (x-4) + (x-4) in the longer version since for perimeter you add the sides. Same thing for the other side, 2(2x+8) represents (2x+8) + (2x+8).

Not sure if you need the expression solved but here:

[tex]2(x-4) + 2(2x+8)\\(2x-8) + (4x+16)\\=6x+8[/tex]

To get from first line to second, use distributive property. To get from second to third line, combine like terms.

The perimeter of a rectangle with the length of (x - 4) and width of

(2x +8) will be (6x + 8).

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The length of rectangle = x - 4

The width of rectangle = 2x + 8

Now,

Since, The length of rectangle = x - 4

The width of rectangle = 2x + 8

We know that;

The perimeter of rectangle = 2 (Length + Width)

⇒ The perimeter of rectangle = 2 (x - 4 + 2x + 8)

⇒ The perimeter of rectangle = 2 (3x + 4)

⇒ The perimeter of rectangle = (6x + 8)

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Answer:4104

Step-by-step explanation:I think

Answer:

1,052.8 m

Step-by-step explanation:

You use the equation D=m/v. You know D 1155 and you know m 1,216,000. So you just solve for volume.

Answer:

32/5

Step-by-step explanation:

Convert the mixed number 6 2/5 into an improper fraction by multiplying the denominator by the whole number and then add the numerator.

Ex: 6 2/5 = 5 x 6 +3  

Answer:

I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

Given f(x) = 14(5−x)², the value of f(11) = 504

The given function is:

f(x) = 14(5 - x)²

To get the value of f(11), substitute x = 11 into the function f(x) = 14(5 - x)²

f(11) = 14(5 - 11)²

Simplify the expression

f(11) = 14(-6)²

f(11) = 14(36)

f(11) = 504

Therefore, given f(x) = 14(5−x)², the value of f(11) = 504

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Answer:

0.67

Step-by-step explanation:

2/3=0.666 repeating which rounds up to 0.67

Answer:

0.67

Step-by-step explanation:

Answer:

No, the answer is 5

Answer: No the solution is 5

Step-by-step explanation:

When you substitute x with 6 you get 6+13= 18.

Obviously 6+13 is not 18 so this means that 6 is not a solution.

Hope this helps ;)

Answer:

8/8=16

Step-by-step explanation:

4/2=2

2x8=16

8/8(whole)=16

9514 1404 393

Answer:

  a) 3

  b) 1

  c) y = 3x +1

Step-by-step explanation:

Given:

  A(1, 4), B(2, 7)

  m = (y2 -y1)/(x2 -x1)

Find:

  a) the slope of the line through these points

  b) the y-intercept of the line through these points

  c) the equation of the line through these points

Solution:

a) Using the given formula, the slope is ...

  m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line

__

b) The y-intercept can be found from* ...

  b = y1 -m·x1

  b = 4 -3·1 = 1 . . . the y-intercept

__

c) The equation in slope-intercept form is ...

  y = mx +b

  y = 3x +1

_____

* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:

  y -y1 = m(x -x1)

  y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1

  b = y1 -m·x1 . . . . . . . . solve for b

Answer:

Hope it works for u

Step-by-step explanation:

As we have given two shapes bathroom

square and rectangle

Parameter of square= sum of all the sides   ( : In square all sides are equal

Parameter of square= 4*L  = 4*(x+3)       (:L=x+3

similarly,

In rectangle opposites sides  are equal hence

Perimeter of rectangle= 2*length+2*width  ( : length=x+4,width can't be seen clearly so I assume and take it width=x+1  hope this is equal to the width of ur question otherwise do the calculation by ur self).

Perimeter of rectangle= 2*(x+4)+2(x+1)

so now we have to find the value of "x" for which both perimeter are equal, so

perimeter of square= perimeter of rectangle

4*(x+3)=2*(x+4)+2(x+1)  we can also write as

for which both parameters become equal

Please brain-list it if u find it help-full it requires effort!

Answer: B option is correct. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

explanation: I hope that was helpful!

Answer:

x=16

Step-by-step explanation:

I don't know if this is right! Just a guess! if that is a test, don't use my answer!

Answer:

hope this helps UwU

Step-by-step explanation:

The required equation represents the number of bags of sand is b = 4920 ÷ 40.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
To prepare for the winter season the manager of an outdoor ice skating rink ordered 4,920 pounds of sand to keep around the skating rink from being yo slippery One bag of sand is 40 points.
Let the number of bags be b,
40 × = 4920
b = 4920 ÷ 40

Thus, the required equation that represents the number of bags of sand is b = 4920 ÷ 40.

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Answer:

i used desmos calculator

Step-by-step explanation:

3/5 = 0.6

0.6 x 35 = 21

21 is already a simplest mode

u can also used 0.21

Answer:

Option (2)

Step-by-step explanation:

Given:

∠1 ≅ ∠3

To Prove:

∠AXD ≅ ∠CXB

Solution:

Given question is incomplete; find the complete question in the attachment.

            Statements                                                              Reasons

1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3          1). Given

2). m∠1 + m∠2 = m∠CXB and                    

    m∠2 + m∠3 = m∠AXD                            2). Angle addition postulate

3). m∠1 + m∠2 = m∠AXD                             3). Because you can substitute

                                                                          m∠1 for m∠3

4). m∠CXB = m∠AXD                                   4).Transitive property of equality

5). ∠AXD ≅ ∠CXB

Therefore, Option (2) will be the correct option.