Lauren drove The 75 miles to the coast at 75 mph, but gets stuck in traffic and averaged 25 mph on the way back. How many total miles did Lauren Drive in this round trip

Answer:

180

Step-by-step explanation:

The square root of the number 180 would render the simplified radical expression: [tex]6\,\sqrt{5}[/tex]

We start by factoring completely the number 180:

[tex]180=2^2\,\,3^2\,\,5\\then:\\\sqrt{180} =\sqrt{2^2\,\,3^2\,\,5} \\\sqrt{180} =\sqrt{2^2}\,\,\sqrt{3^2}\,\,\sqrt{5}\\\sqrt{180} =2\,*\,3\,\sqrt{5}\\\\sqrt{180}=6\,\sqrt{5}[/tex]

Answer:

16.7 cm

Step-by-step explanation:

So B = 180 -A-C=180-58-75=47degree

sinB/AC = sinC/AB

sin47/AC=sin75/22

AC=16.65cm

Answer:

B. A whale is a mammal that does not live on land.

Step-by-step explanation:

Self explanitory

Answer:

179 + 49+ 139 = 367

Step-by-step explanation:

Answer:

(5y-17x)/ (y^2-x^2)

Step-by-step explanation:

(2/x-y) + (3/x+y) - (5/y-x) - (7x-9y/y^2-x^2) =

Get a common denominator of y^2 - x^2

2/ (x-y) = -2 /( y-x) * (y+x)/(y+x)  = (-2y -2x) / (y^2 -x^2)

(3/x+y) = 3/ (x+y) * (y-x)/(y-x) = (3y-3x) /  (y^2 -x^2)

-5/(y-x) = -5/(y-x) *(y+x)/(y+x) = -5y-5x /  (y^2 -x^2)

- (7x-9y/(y^2-x^2) = -7x +9y/ (y^2-x^2)

Combine the numerators since the denominators are equal

-2y -2x +3y-3x-5y-5x-7x+9y

5y-17x

Put this over the denominator

(5y-17x)/ (y^2-x^2)

Answer:

[tex] \frac{ - 17x + 5y}{ {y}^{2} - {x}^{2} } [/tex]

Solution,

[tex] \frac{2}{x - y} + \frac{3}{x + y} - \frac{5}{y - x} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{3}{x + y} - \frac{5}{ - (x - y)} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{3}{x + y} + \frac{5}{x - y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{5}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2 + 5}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7(x + y) + 3(x - y)}{(x - y)(x + y)} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7x + 7y + 3x - 3y}{ {x}^{2} - {y}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{10x + 4y}{ {x}^{2} - {y}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{10x + 4y}{ - ( {y}^{2} - {x)}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 10x - 4y - 7x + 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 10x - 7x - 4y + 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 17x + 5y}{ {y}^{2} - {x}^{2} } [/tex]

hope this helps...

Good luck on your assignment...

Answer:

x = -3/2                    x =0

Step-by-step explanation:

(2x+3) ^2 - 6x-9 = 0

Factor out -3 from the last 2 terms

(2x+3) ^2 - 3( 2x+3) = 0

Let m = 2x+3

m^2 - 3m = 0

Factor out m

m(m-3) =0

Using the zero product property

m=0  m-3 =0

m=0  m=3

Substitute 2x+3 back in for m since we are looking for the value of x

2x+3 =0                2x+3 =3

2x +3-3=0-3       2x+3-3=3-3

2x = -3                  2x=0

x = -3/2                    x =0

Answer:

c/d = 6

Step-by-step explanation:

Use the second equation.

c - 6d = 0

Add 6d to both sides.

c = 6d

Divide both sides by d.

c/d = 6

Answer:

  5/4 x (54/48 + 105/75)

=  5/4 x (9/8 + 7/5)

=  5/4 x (45/40 + 56/40)

=  5/4 x 101/40

=  1/4 x 101/8

=  101/32

Hope this helps!

:)

Answer: 3/5/32

Step-by-step explanation:

5/4 x(54/48 + 105/75)

5/4 x (1/1/8 + 1/2/5)

5/4 x 2/21/40

1/1/4 x 2/21/40

3/5/32 ( 3 whole and 5 over 32)

HOPE THIS HELPS

Mark me as the brainiest answer

Answer:

450%

Step-by-step explanation:

Answer:

450%

Step-by-step explanation:

Answer:

1/6π units³ or 11/21 units³

Step-by-step explanation:

V = 4/3 πr³

r= 1/2

or

Answer:

1/6

Step-by-step explanation:

Answer:4.3216*10^-3

Step-by-step explanation:

Answer:

4.3216*10^(-3)

Step-by-step explanation:

Moving the decimal point 3 places to the right results in 4.3216*10^(-3), which is in standard form.

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex]  ...(i)

We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-

[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex]  ...(ii)

On comparing (i) with (ii) , we get

[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]

i.e.

[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]

Hence, the value of m is 29.

Answer:

232.05 miles, no  Mr. Carson’s did not estimate reasonable

Step-by-step explanation:

[tex]reciprocal \: of \: \frac{ - 5}{11} \: is \frac{ - 11}{5} \\ product \: of \: \frac{ - 11}{5} \times \frac{3}{8} = \frac{ - 33}{40} \\ hope \: it \: helped \: [/tex]

إجابة:

3.8

شرح خطوة بخطوة:

[tex]1.3 - (-2.5)[/tex]

[tex]=1.3+2.5[/tex]

[tex]=3.8[/tex]

Answer:

3.8

Step-by-step explanation:

negative by negative = positive.

1.3 + 2.5 = 3.8

Answer:

2/4

Step-by-step explanation:

Probability of obtaining a different result on each coin is [tex]\frac{1}{2}[/tex].

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given

Olga flips 2 fair coins.

Probability of obtaining a different result on each coin

Total Number of favorable outcomes = {HH,TT,TH,HT} = 4

Number of favorable outcomes = {HT,TH} = 2

P(E) = [tex]\frac{Total Number of favorable outcomes }{Number of favorable outcomes}[/tex]

P(E) = [tex]\frac{2}{4}[/tex]

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

Thus, Probability of obtaining a different result on each coin is [tex]\frac{1}{2}[/tex].

Find out more information about Probability here

https://brainly.com/question/11234923

#SPJ3

Answer:

Each marker costs $.40 or 40 cents

Step-by-step explanation:

Take the total cost and divide by the number of markers

$6.00 /15

.40

Each marker costs $.40 or 40 cents

Answer:

9 inches and 15 inches

Step-by-step explanation:

The height of a trapezoid is 4 in.

Its area is 48 in^2.

Let a be one base and b be the second base.

One base is 6 inches longer than the other. This implies that:

a = 6 + b _________ (1)

The formula for the area of a trapezoid is given as:

[tex]A = \frac{1}{2}(a + b)h[/tex]

where h = height

From (1), we have that:

[tex]A = \frac{1}{2}(6 + b + b )h\\ \\A = \frac{1}{2}(6 + 2b )h[/tex]

We have that h = 4 and A = 48 in^2, therefore:

[tex]48 = \frac {1}{2}(6 + 2b) * 4\\ \\96 = 24 + 8b\\\\8b = 96 - 24 = 72\\\\b = 72 / 8 = 9 in[/tex]

=> a = 6 + 9 = 15 in

The bases are 9 inches and 15 inches long.

Answer:

Step-by-step explanation:

Consecutive exterior angles lie outside on the same side of a transversal.

So it should be 3,45 and 6

Answer:

Upper P99 = 17 in.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 14.2, \sigma = 1.2[/tex]

Upper P99

This is X when Z has a pvalue of 0.99. So X when Z = 2.327.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 14.2}{1.2}[/tex]

[tex]X - 14.2 = 1.2*2.327[/tex]

[tex]X = 17[/tex]

So

Upper P99 = 17 in.

Answer:

c.Right

Step-by-step explanation:

because of the 90 degrees it shows that it is 90 degrees

Answer:

B. scalene

C. right

Step-by-step explanation:

Answer:

50 Persent

Step-by-step explanation:

Each one has 3 even and 3 odd numbers.

For the first one to be even there is a 3/6 probability, which reduces to 1/2.

The probability of the second one being even is also 1/2.

The probability of both being even would be 1/2 x 1/2 = 1/4 probability

Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft

To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

We have established that the hypotenuse is the length of the ladder which is 26ft

Let the distance we want to calculate be d

26^2 = 24^2 + d^2

d^2 = 26^2 -24^2

d^2 = 676 - 576

d^2 = 100

d = square root of 100

d = 10ft

Answer:

10

Step-by-step explanation:

24^2 = 576

26^2 = 676

676 - 576 = 100

the square root of 100 is 10 so the answer is 10

Answer:

[tex]100.00 \div 6 [/tex]

The probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,

So, the probability = favorable outcomes / total outcomes

Here, the favorable outcome = 1

The total outcomes = 1, 2, 3, 4, 5, 6 = 6

So, the probability = 1/6 = 1/2

Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Learn more about probability click;

https://brainly.com/question/30034780

#SPJ2

Answer:

2x=6

2x+1=7

2x-1=5

Answer:

7-x=4 Solve for x

6/x=2 Solve for x

8x=24 Solve for x

Step-by-step explanation:

Answer:

[tex]\frac{17}{7}[/tex]

Answer:20000200

Step-by-step explanation:

Answer: 20000200

You just add 200 to the larger number.