Andrew's class took a field trip to the art museum. It took them 18 minutes to drive to the museum. They stayed at the museum for 1 hour and 59 minutes. When the class left the museum, it was 10:03 A.M. What time did Andrew's class leave for the field trip?

Answer:

H: [tex]x\leq -5[/tex]

Step-by-step explanation:

[tex]-4x+10\geq 5x+55\\-4x\geq 5x+45\\-9x\geq 45\\x\leq -5[/tex]

Remember when dividing by a negative number across the inequality the direction of the inequality flips.

The equation  [tex]k^2-20k+100=0[/tex] will have exactly one real solution when k=10.

Here, you will find k from the value of the discriminant for the given quadratic equation.

The standard form for a quadratic equation is: [tex]ax^{2}+bx+x=0[/tex]. Where: a, b, and c are your coefficients.

Then, the given equation [tex](k-5)x^2-kx+5=0[/tex]  is a quadratic equation.  Where:

                                                  [tex]a=k-5\\ \\ b=-k\\ \\ c=5[/tex]

The number of solutions for a quadratic equation is determined by the discriminant (D) that can be calculated from the expression: [tex]b^2-4a*c[/tex]. When:

                                       [tex]D=b^2-4a*c\\ \\ D=(-k)^2-4*(k-5)*5\\ \\ D=k^2-20*(k-5)\\ \\ D=k^2-20k+100[/tex]

You should find the value for k for which the given equation has only one real solution. Therefore, D=0. For this, solve the quadratic formula for the equation  [tex]D=k^2-20k+100=0[/tex] .

                                    [tex]k_{1,2}=\frac{\(-b\pm \sqrt{(b)^2-4\cdot \:a\cdot \:c}}{2\cdot \:a}\\\ \\ k_{1,2}=\frac{\(20\pm \sqrt{(-20)^2-4\cdot \:1\cdot \:100}}{2\cdot \:1}\\ \\ k_{1,\:2}=\frac{20\pm \sqrt{0}}{2\cdot \:1}\\ \\ k=\frac{20}{2}=10\\[/tex]

Hence, k=10 for the equation  [tex]k^2-20k+100=0[/tex] has exactly one real solution.

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2 ÷ 8

2/8 = 2 ÷ 8

both represent same

Answer:

632

Step-by-step explanation:

Easy seriously. Sorry. You just do this:600+30+2

Answer:

A is the answer

Step-by-step explanation:

look at a picture of a triangle prism...

Answer: 11

Step-by-step explanation:

Ok so I'm guessing you are wondering what is the value of the 3 equal sides. First you subtract 7 from 40 and get 33. Then divide 33 by 3 and you'll get 11.  

40-7=33

33/3=11

Answer: x < - 13/4

Step-by-step explanation:

Subtract 1 from both sides then divide both sides by -4, but flip the sing because it’s dividing by a negative.

Answer:

x<-3.25

Step-by-step explanation:

-4x-1>12     1. add 1 on both sides

-4x>13        2. divide -4 on both sides

x<-3.25

The general form of the equation of a circle with center at (a, b) and radius of length m is written as [tex](x-a)^2+(y-b)^2 = m^2[/tex].

The general form of the equation of a circle is written as,

[tex](x-h)^2+(y-k)^2 = R^2[/tex]

where (h, k) is the coordinates of the center of the circle, while R is the radius of the circle.

We have already discussed the general form of the equation of a circle, substituting the values into it,

[tex](x-h)^2+(y-k)^2 = R^2\\\\(x-a)^2+(y-b)^2 = m^2[/tex]

Hence, the general form of the equation of a circle with center at (a, b) and radius of length m is written as [tex](x-a)^2+(y-b)^2 = m^2[/tex].

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Answer:

8 convertibles

Step-by-step explanation:

Well, first we are going to assume the ratio for the convertibles and non-convertibles are the same.

So the company rented 4 convertibles and 30 others.

This makes the ratio 4:30

30+4=34 68 is double of 34 so it is logical to double the ratio to get 8:60. So that means there should be 8 convertibles.

I hoped this helped.

8 convertibles are expected in many of the first 68 vehicles rented today should you expect to be convertibles.

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however, other symbols like the "*" sign are also occasionally used.

There is a total number of vehicles is as:

30 other vehicles + 4 convertibles = 34 cars

To  find 68 vehicles

34 * 2 = 68

Therefore this implies :

30 * 2 other vehicles + 4 * 2 convertibles

= 68 cars

60 other vehicles and 8 convertibles

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#SPJ2

Answer:

I got 110

Step-by-step explanation:

- 135+19=154

- Turn the percentage 140% into 1.4

- 154 = 1.4x

- Divide both sides by 1.4

-  x = 110.  

The original price was $110.

We have: SM = TM ( because M is the midpoint )

So: x + 12 = 8x - 2

=> x - 8x = -2 - 12

=> -7x = -14

=> x = (-14) / (-7) = 2

Answer: x = 2

Ok done. Thank to me :>

Answer:

- 4 x - 4 x - 4 x - 4 x - 4 = - 1024

Step-by-step explanation:

Answer:

The resistivity of the conductor can be calculated by multiplying the slope by the area.

Step-by-step explanation:

Answer:

In order: y = 29, 8, -1, 2, 17

Step-by-step explanation:

Simply plug in what x equals to get the coordinating y!

When x = -2       6(-2)² - 3(-2) - 1 = 29

When x = -1        6(-1)² - 3(-1) - 1 = 8

When x = 0        6(0)² - 3(0) - 1 = -1

When x = 1         6(1)² - 3(1) - 1 = 2

When x = 2        6(2)² - 3(2) - 1 = 17

Answer:

160

because when the digit at one's place of a no. is 5 or more than 5 then it will proceed to next nearest tens not previous.

Answer:

P(B | A) = 0.80

Step-by-step explanation:

For independent events A and B,     P(B | A) = P(B)

Therefore, P(B | A) = 0.80

Answer:

<4 - <3 - <5

B - E - F

Answer:

For this same problem I got <3 and <4 as the correct answers.

Answer:

y = -x - 9

Step-by-step explanation:

2x + 2y = -18

2y = -2x -18

2y/2 = -2x/2 - 18/2

y = -x - 9

Answer:

y= -x+9

Step-by-step explanation:

I just did it

Answer:

$16.98 per gallon

Step-by-step explanation:

We can set up a equation using ratios:

[tex]\frac{67.92}{4}=\frac{x}{1}[/tex]

Solve by cross multiplication (multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction):

67.92=4x

Divide both sides by 4 to isolate x

$16.98

Answer:

The answer should be 11-2x because you cannot break this down any further. And since we are not solving for x, we don't do division. Even if so, it would turn out to be a decimal.

Answer:

Length = 200 m

Breadth = 175 m

Step-by-step explanation:

Perimeter of the rectangular field = Total cost ÷ rate per metre

                                                        = 12000 ÷ 16

                                                        = 750 m

Length : breadth = 8 : 7

Length = 8x

Breadth = 7x

Perimeter = 750

2*(length + breadth) = 750

2*(8x + 7x) = 750

2* 15x = 750

  30x = 750

      x = 750/30

x = 25

Length = 8x = 8*25 = 200 m

Breadth = 7*25 = 175 m

Answer:

the answer is =x²-4x+10-8

Answer:

C is (-3,-1) J is (0, -1) M is (-4,2) and K is (1,4)

Step-by-step explanation:

Think of it as a mirror, you're using the same points and make them an equal distance from the x-axis

Answer:

x<4, not sure which graph it is tho, I can't see it clearly

Step-by-step explanation:

-4(-2x+8)-2x<-8

8x-32-2x<-8

8x-2x<-8+32

6x<24

x<4

Answer: Distance traveled by bus in one second=414.23=18 meters. Car travels faster.It travels 4 meter more in one second than bus

Answer:

Step-by-step explanation:

2 + 2 = 5

Answer:

x =53.85

Step-by-step explanation:

Let x be the original price

If the price is 22% of, you will pay 100% -22% = 78%

x * 78% = 42

Change to decimal form.

78x = 42

Divide each side by .78.

78x/.78 = 42/.78

Rounding to the nearest cent

x =53.85

say the regular price is "x", which is the 100% value of the shoes, but today they're 22% off, that means 100% - 22% = 78%, so the sale price is really 78% of the regular price, we know that's 42 bucks, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 42&78 \end{array}\implies \cfrac{x}{42}=\cfrac{100}{78}\implies \cfrac{x}{42}=\cfrac{50}{39} \\\\\\ 39x=2100\implies x=\cfrac{2100}{39}\implies x\approx 53.85[/tex]

Answer:

3% of 66.7 is 2.001 or 2.00

18% of 66.7 is 12.006 or 12.01

Answer:

[tex]{ \tt{x + (x + 6) + 114 = 360}} \\ { \tt{ \blue{sum \: of \: exterior \: angles \: is \: 360 \degree}}} \\ { \tt{2x + 120 = 360}} \\ { \tt{2x = 240}} \\ { \tt{x = 120}}[/tex]

Angles are 120°, 126°, and 114°

Answer:

x= 2
y= 2

Step-by-step explanation:

the lines both intercept at (2,2)

Answer:

x=2 y=2

Step-by-step explanation:

Find the point where the 2 lines intersect. In this problem it is (2,2)

x=2

y=2