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Answer:  

a.  28.7 miles

b.  40 miles

Step-by-step explanation:

See attachment.

Convert minutes to hours and divide that into 1 1/2 miles to get a speed of 40 miles/hr (mph).  Multiply 40 mph by each of the two times (converted to hours) to find the miles travelled for the two times.

a.  28.7 miles

b.  40 miles

Answer:

43.5 cm

Step-by-step explanation:

The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.

45/15 = 3

14.5 * 3 = 43.5 cm

Answer:

43.5

Step-by-step explanation:

Answer:

-95

Step-by-step explanation:

formula in finding this is -3

Arithmetic Sequnce:

-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.

Carry on learning

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

clearly, we see here, this constant is -3.

and we start with -8.

a1 = -8

a2 = a1 - 3 = -8 - 3 = -11

a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14

so, it becomes clear that

an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3

so,

a30 = -8 - 29×3 = -95

Answer:

Yes, Yes they are. Unless they are supposed to be in the order "20 99101" then they are most definitely a pythagorean triple.

Answer:

Yes, the sides would form a right triangle.

Step-by-step explanation:

[tex]99^2 + 20^2 = 101^2\\\rule{150}{0.5}\\99^2 + 20^2 = 10201\\\\9801 + 400 = 10201\\\\\boxed{10201 = 10201}[/tex]

Hope this helps.

Answer:

(5,-3)

Step-by-step explanation:

We can substitute the y in the second equation by the first equation:

2x+3(x-8)=1->

2x+3x-24=1 ->

5x-24=1 ->

5x=25 ->

x=5.

Then solve for y in the first equation:

y=5-8 ->

y=-3.

So the first is correct:

(5, -3)

Hope that helps! :)

Answer:

First option: (5,-3)

Step-by-step explanation:

First turn the second equation to slope intercept form (y=mx+b):

Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.

Now you can graph both, and the solution would be the point that intercepts both of these lines.

(Here it is graphed above for you⤴⤴⤴)

Hope this helps :)

Step-by-step explanation:

sin b= opposite/hypotenuse

sin b = 60/61

Answer:

x > 15

Step-by-step explanation:

first step is to subtract 9 from each side to get:

x/3 > 5

now multiply each side by 3 to get:

x > 15

Answer:

192!!!

Step-by-step explanation:

Answer:

P is the incorrect answer

Answer:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)

There are 3 ways to write the equation of the line:

The easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way

So we'll need to find the slope

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:

[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]

Now substitute these values into the formula. Remember that m is the value of the slope:

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2--6}{2--3}[/tex]

Simplify the fraction:

m=[tex]\frac{-2+6}{2+3}[/tex]

Add the numbers together:

m=[tex]\frac{4}{5}[/tex]

So the slope of the line is 4/5

Let's plug it into the formula y=mx+b, since we now know the value of m

y=[tex]\frac{4}{5}[/tex]x+b

Now let's find b

As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b

Either point works, but let's take (2, -2) for instance

Substitute 2 as x and -2 as y

-2=4/5(2)+b

Multiply

-2=8/5+b

subtract 8/5 from both sides

-18/5=b

Now substitute -18/5 as b into the equation:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Hope this helps!

Answer:

g= -2

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

1. open the parentheses: 3(5-g)= 15-3g= 21

2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)

15- 3g= 21  =  -3g= 21- 15

-3g= 6

3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.

Hence, g= -2

Hope this helps!

let me know if t does and if the answer is right.

Answer:

Step-by-step explanation:

A. What is the ratio of songs by the group from Michigan to the number of songs played?  3/15

B. In lowest terms, 3/15 is 1/5.

C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?  To answer this, multiply the 1-hour unit rate by 3:  3*3 = 9 Michigan group songs over the next 3 hours.

Answer:

no answer choices shown but solution

would be [-2.8, -∞] and [2.83, ∞]

Step-by-step explanation:

Answer:

y = 19.99x + 17.99

(I just did it)

Answer:

Step-by-step explanation:

2

Answer:

24 miles

Step-by-step explanation:

50 minutes = 8 miles

100 miles = 16 miles

150 minutes = 24 miles

Answer:

Jason can travel 24 miles in 150 minutes.

Step-by-step explanation:

8= miles. 50&150= mins

8=50.

Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.

150÷50= 3.

So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.

3×8= 24

So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)

Hope this wasn't too confusing,

Hope this helps!

Answer:

Step-by-step explanation:

Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?​

so 1 apple has 1/10 gram of fat

10 apples = 1 gram of fat

10 * 4 = 40 apples have a total of 4 grams

She gets 20 dollars every day.

Answer:

False

Step-by-step explanation:

AB is equal to DE not DF

AC is equal to DF not EF

Answer:

See below for answer.

Step-by-step explanation:

∠ECB ≅ ∠FBC    Parallel lines cut by a transversal form congruent alternate  

                             interior angle  

Δ AEC ≅ Δ DFB   ASA                

Answer:

  y -5 = 4(x -2)

Step-by-step explanation:

The derivative of the function tells you the slope of the line at the point of tangency.

  f'(x) = 2x

  f'(2) = 4

Then the point-slope equation of the tangent is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -5 = 4(x -2) . . . . . tangent line with slope 4 through tangent point (2, 5)

Answer:

54 Degrees

Step-by-step explanation:

We know that a triangle has to have 180 degrees in all. we also know that the bottom lines is a straight angle, so 180 degrees.

using this information, we can find n. We know that n+78 is 180, so n=102

We also know that o+102+24=180, so

o=54

Hope this helps!

[tex]\sqrt{x} (-5-(-8))x^{2} +(-5-(-7))x^{2} = 3.x^{2} \sqrt{x} +2x^{2} = x^{2} (3\sqrt{x} +1)[/tex]

ok done. Thank to me :>

Answer:

where the numbers at???

Step-by-step explanation:

Answer:

look at the picture i have sent

Answer:

6 ft.

Step-by-step explanation:

If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24  so the expression would be 1/4 x 24

im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.

hope this helps :)

Answer:

  A. 1/4×24 ft

  B. 6 ft, the product has no negative factors that would make it negative.

Step-by-step explanation:

1/4 of the elevation of city C can be written as ...

  (1/4)(24 ft)

__

When the expression is simplified, it becomes ...

  6 ft

The product of two positive numbers is positive.

Answer:

Step-by-step explanation:

The cookie's diameter is 14 cm. How much is the radius?

diameter = 2 * radius

radius = 1/2 diameter

14 : 2 = 7