write the equation of the line?

It took Deborah 2 hours to catch Mortimer.

To determine, if Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take Deborah to catch him, the following calculation must be made:

Therefore, it took Deborah 2 hours to catch Mortimer.

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Answer:

2/7

Step-by-step explanation:

2 ÷ 7 = 2/7 of a gallon each hour he works

Step-by-step explanation:

[tex]8. log_{10}(2.15) = 0.332 \: then \: log_{10}(21500) = ..... \\ log(21500) = log(2.15 \times 10000) \\ = log(2.15) + log(10000) \\ = log_{10}(2.15) + log_{10}( {10}^{4} ) \\ = 0.332 + 4 log_{10}(10) \\ = 0.332 + 4(1) \\ log_{10}(21500) = 4.332[/tex]

9. log(2)=a, log(3)=b, then log(36)=______

log(36) = log(6*6) = log(6) + log(6)

log(36)= log(6) + log(6)

log(36) = log(3*2) + log(3*2)

log(36) = (log(3) + log(2)) + (log(3) + log(2))

log(36) = (a + b) + (b + a)

log(36) = a + b + b + a

log(36) = 2a + 2b

Answer:

4.3324384599

or you can just round it to 4.332

Answer:

[tex]25x^6y^{10}[/tex]

Step-by-step explanation:

[tex](5xy^3)^2(xy)^4\\\\5^2*x^2*(y^3)^2*x^4*y^4\\\\25*x^{2+4}*y^{3*2}*y^4\\\\25*x^6*y^6*y^4\\\\25x^6*y^{6+4}\\\\25x^6y^{10}[/tex]

Remember to use your exponent rules

Hi!

Given:

[tex](5xy^3)^2(xy)^4[/tex]

Distribute the exponent:

[tex]5^2x^2y^6 * x^4y^4[/tex]

Multiply like terms (add the exponents to do it):

[tex]25x^6y^[/tex]^10

For more information on how to solve these types of questions, see:

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Answer:

Normal

Step-by-step explanation:

If your BMI is less than 18.5, it falls within the underweight range. If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.

Answer:

The answer is B

Step-by-step explanation:

Took The Test

Answer:

<6

Step-by-step explanation: The total should be 180 and its common sense to know that measure <5 is not 105 degrees

Answer:

-5

Step-by-step explanation:

-5 is closer to being a positive number

Answer:

-5 is greater than -6

Step-by-step explanation: Because when we are talking about negative numbers the bigger number is always going to be the smallest and the smallest number is always going to be the the greater number. Hope this helps!!:)

Answer:

64 frogs

Step-by-step explanation:

After 7 months: 2 x 2 = 4

After 14 months: 4 x 2 = 8

After 21 months: 8 x 2 = 16

After 28 months: 16 x 2 = 32

After 35 months: 32 x 2 = 64

Answer:

g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒  3[g(x)] + 5 = x + 4

⇒  3[g(x)] = x + 4 - 5

⇒  3[g(x)] = x - 1

⇒  g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]

Answer:

a. may to june

Step-by-step explanation:

subtract all the first months by second months to get answer.

Answer:

x = 2 , y = -3

Step-by-step explanation:

by elimination method

+5y in equation 1 cancel -5y in equation 2

2x - 8x = -11 - 1

-6x = -12

divide both sides by - 6

- 6x/ -6 = -12/-6

x = 2

substitute x = 2 into equation ii

- 8 (2) - 5y = - 1

- 16 - 5y = - 1

collect like terms

- 5y = -1 + 16

- 5y = 15

divide both sides by -5y

-5y/-5y = 15/-5y

y = - 3

Answer:

x=6

Step-by-step explanation:

triangles CDB and ADB are equal so we know that CD=AD and can write this equation:

3x+5 = 5x-7

subtract '3x' from each side:

5 = 2x-7

add 7 to each side:

12 = 2x

12/2 = x

6=x

All the square root term are equal then they can be added. Then the length of piping is needed in all is 98√6.

It is the measure of distance between the two points is called a length. It is a scalar quantity.

A builder needs three pipes of different lengths.

The pipes are 6√96 feet long, 12√150 feet long, and 2√294 feet long.

The length of pipes can be written as

[tex]6\sqrt{96} = 6 \sqrt{2*2*2*2*2*3} = 24\sqrt6[/tex]

[tex]12\sqrt{150} = 12 \sqrt{5*5*6} = 60\sqrt6[/tex]

[tex]2\sqrt{294} = 2 \sqrt{6*7*7} = 14\sqrt6[/tex]

Since all the square root term are equal then they can be added.

[tex]24 \sqrt{6} + 60 \sqrt{6} + 14\sqrt{6}\\\\98\sqrt{6}[/tex]

Thus, the length of piping is needed in all is 98√6.

More about the lenght link is given below.

https://brainly.com/question/8552546

Answer:

98 sqrt 6

Step-by-step explanation:

Jesus told me

Answer:

number 1 is a - 2.01 = 5.5 and the answer is a=7-51

number 2 is b + 2.01 = 5.5 and the answer is b=3.49

number 3 is 10c = 13.71 and the answer is c=1.371

number 4 is 100d = 13.71 and the answer is d=0.1371

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 43+(-56) - 78

43 - 56 - 78 = -91

2. -78 - 65 = -143

3. -19 - 4 = -23

4. -16 + 9 = -7

5. 71 + (-18)

71 - 18 = 53

Hope this helps!

Answer:

Step-by-step explanation:

43+(-56)minus 78= negative 91

43+-56= - 13    13-78= negative 91

-78 subtract 65=143 because when your in negatives it is opposite so when you subtract it is addition so what is -30 add 50=20. So what is -78 subtract 65=143

-19 subtract 4 =-23 because like I said in negatives it's opposite.

-16+9=7.

And last 71 + -18=53 because it is subtracting 18 since it is negatives.

Hope it helps :)

Step-by-step explanation:

BF is parallel to CG, DH

so here the ans is choice 1

Answer:

BF is parallel to none of the options.

Step-by-step explanation:

Answer:

2(x^2 + 3x + 34)

Step-by-step explanation:

(6x+7+8^2) + (2x^2-3)

= 6x + 7 + 64 + 2x^2 - 3

= 2x^2 + 6x + 68

= 2(x^2 + 3x + 34)

Answer:

Equation 1:  8x + 10y = 123.4

Equation 2:  5x + 9y = 97.2

cost of a burrito = $7.30

cost of a sandwich = $6.30

Step-by-step explanation:

Let x = cost of a sandwich

Let y = cost of a burrito

Equation 1:  8x + 10y = 123.4

Equation 2:  5x + 9y = 97.2

Rewrite equation 1 to make y the subject, then substitute into equation 2 and solve for x:

8x + 10y = 123.4

⇒ 10y = 123.4 - 8x

⇒ y = 12.34 - 0.8x

5x + 9(12.34 - 0.8x) = 97.2

⇒ 5x + 111.06 - 7.2x = 97.2

⇒ 13.86 = 2.2x

⇒ x = 6.3

So cost of a sandwich = $6.30

Substituting x = 6.3 into equation 2 and solving for y:

5(6.3) + 9y = 97.2

⇒ 31.5 + 9y = 97.2

⇒ 9y = 65.7

⇒ y = 7.3

So cost of a burrito = $7.30

Answer:

8x + 10y = 123.40

5x + 9y = 97.20

OR

40x + 50y = 617

-40x - 72y = -777.6

x = $6.30

y = $7.30

Step-by-step explanation:

we can write this system of equations:

8x + 10y = 123.40

5x + 9y = 97.20

using the 'elimination method', we can multiply the first equation by 5 and the second equation by -8 to get:

5(8x + 10y) = 123.4(5)

40x + 50y = 617

-8(5x + 9y) = 97.2(-8)

-40x - 72y = -777.6

now we can add the new equations and solve for 'y':

40x + 50y = 617

-40x - 72y = -777.6

-22y = -160.6

y = 7.30

now we can substitute 7.3 for 'y' so we can solve for 'x':

8x + 10(7.3) = 123.4

8x + 73 = 123.4

8x = 50.4

x = 6.30

percentage is a ratio of a number or fraction to 100

percentage =per(every) + cent (100)

per cent = per 100

1. 63 % = 63 /100 = 0.63

2. 9 % = 9/100 = 0.09

3. 152 % = 152/100 = 1.52

Answer:

x= -2

Step-by-step explanation:

11+2x = 5 - x

6 = -3x

x = -2

Answer:

1496

Step-by-step explanation:

A = lw

22 x 16 = 352 ( bedroom)

22 x 18 = 396 (living)

352 + 396 = 748

748 x 2 = 1496

hope this helps

pls mark brainliest

Answer:

  3.09 miles

Step-by-step explanation:

Given one distance and two angles, we will need to use the Law of Sines. For this, we need to know the internal angles of the triangle formed by the various bearing lines.

The angle between the bearings of A and B from the transmitter will be the difference of the reverse of the given bearings.

  A from T = 39.3° +180° = 219.3°

  B from T = 313.9° -180° = 133.9°

Then the angle at T between receivers is ...

  219.3° -133.9° = 85.4°

The angle between A and T as measured at B will be ...

  313.9° -270° = 43.9°

These angles and length AB can be used with the Law of Sines to find AT:

  AT/sin(B) = AB/sin(T)

  AT = AB(sin(B)/sin(T)) = (4.44 mi)·sin(43.9°)/sin(85.4°)

  AT ≈ 3.09 mi

The distance of the transmitter from A is about 3.09 miles.

Multiply the amount Lisa’s fruit stand sold by the amount more Daves fruit stand sold:

Daves fruit stand sold 3 times more:

3 x 1/3 box = 3/3 = 1 box

Answer: 1 box

Dave sold

[tex]\\ \tt\hookrightarrow 3(1/3)=3/3=1box[/tex]

Quadrilateral LAMB is a parallelogram because opposite sides are parallel.

A quadrilateral is a polygon with four sides and four angles. Types of quadrilaterals are square, rectangle, kite, parallelogram, rhombus and so on.

A parallelogram is a quadrilateral in which opposite sides are opposite and parallel to each other.

Quadrilateral LAMB is a parallelogram because opposite sides are parallel.

Find out more on Quadrilateral at: https://brainly.com/question/16691874

Answer:

25

Step-by-step explanation:

by Pythagoras' theorem,

13^2=12^2 + x^2

169=144+x^2

x^2=169-144

x^2=25

√x=√25

therefore, x=25

x = 56.5 and rounded to the nearest tenth is still gonna be 56.5 but to the nearest TENS is 60 (Please give brainliest!!)

Step-by-step explanation:

His is a right triangle so you can use SOH CAH TOA :

Sine = opposite/ hypotenuse

Cosine= adjacent/ hypotenuse

Tangent = opposite/ adjacent

here you have the hypotenuse and are looking to solve for the adjacent side to angle measure 28

so you can set this up like this: cos(28)= x/64

now multiply both sides by 64 and you'll get x = 56.5 just make sure your calculator is in degrees not radians

Answer:

Measure of each angle is 108 and 72 degrees.

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

[RevyBreeze]

Answer:

An angle measures 36° more than the measure of its supplementary angle. What is the measure of each angle?

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

Answer:

18

Step-by-step explanation:

7, 17, 27, 37, 47, 57, 67

70, 71, 72, 73, 74, 75, 76, 77, 78, 79

A. Graph is in the picture

B. slope is -6500 and they-intercept is (0, 80000)

Answer:

The answer is 23/5, or 23 over 5.

Step-by-step explanation:

4 and 3/5

Multiply the denominator by the whole number and add the numerator, all over the original denominator to calculate the improper fraction.

20 + 3 over 5