A letter or symbol that represents a number (quantity) that can change

Answer:

Anna drove at an average speed of 49.73 km/h

Step-by-step explanation:

Average Speed

If an object moves at different speeds to cover a certain total distance dt in a total time tt, the average speed is:

[tex]\displaystyle \bar v=\frac{d_t}{t_t}[/tex]

Anna drives a total distance of dt=45 km each day. One day she drives a distance of d1=25 km at v1=82 Km/h. The time taken for that distance is:

[tex]\displaystyle t_1=\frac{d_1}{v_1}=\frac{25}{82}=0.3049\ h[/tex]

She takes t2=36 minutes to drive the remaining distance. 36 minutes is 36/60=0.6 h, thus the total time is:

[tex]t_t=0.3049\ h+0.6\ h=0.9049\ h[/tex]

The average speed is:

[tex]\displaystyle \bar v=\frac{45}{0.9049}=49.73\ km/h[/tex]

Anna drove at an average speed of 49.73 km/h

Answer:

21/24 and 10/24

Step-by-step explanation:

7/8 is equaivalent to 7*2/8*2 = 14/16 also to 7*3/8*3=21/24

5/12 is equivalent to 5*2/12*2= 10/24

so the denominators are 16 and 24 so are not the same so keep looking

the denominators 24 and 24 are same so your answer is

7/8 and 5/12 are same and have the same denominator to 21/24 and 10/24

Answer:

8/17

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the ratio.

Step 2: Identify

POV from angle S

Adjacent = 8

Hypotenuse = 17

Step 3: Write

Answer:

11

Step-by-step explanation:

w = 2

p = 3

5p - 2w

5(3) - 2(2)

15 - 4

11

Answer:

11

Step-by-step explanation:

Substituting p and w gets 5(3)-2(2). Simplifying gets 25-4 which is 21.

Answer:

An equilateral triangle is never similar to a scalene triangle, because we can never map one onto the other using only dilations and rigid transformations.

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Explanation:

An equilateral triangle is one where it has all three sides the same length. "Equi" means "equal" while "lateral" means "side". Any equilateral triangle also has all three angles the same measure (we consider it equiangular). Each angle is 60 degrees.

In contrast, a scalene triangle has all of its sides different, so consequently that means all of its three angles must be different as well. If you had exactly two angles congruent to one another, then the opposite sides would be a congruent pair of sides, but then that leads to an isosceles triangle. Also, if all three angles were the same, then we'd get back to an equilateral triangle. So in short, any scalene triangle has all of its angles different.

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Let's consider two cases

If case 1 happens, then we could match up one pair of 60 degree corresponding angles between the equilateral triangle and the scalene triangle. However, we won't have any more matches. This is because the other two angles aren't 60 (if they were then the triangle isn't scalene). Therefore case 1 leads to dissimilar triangles.

If case 2 happens, then we get the same conclusion as case 1. This time we don't have any angles matching up. Similar triangles must have corresponding angles match up and be congruent. Put another way: similar triangles are the same shape but not necessarily the same size.

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After completing both cases, we can see that it is impossible to have an equilateral triangle be similar to a scalene triangle. In terms of transformations, we cannot apply any of the following

and have one triangle turn into the other. Again, it's all because the angles do not match up. We may have one matching pair, but we need all three pairs to match.

There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.

Answer:

y = 3( [tex]0.5^{x}[/tex] )

Step-by-step explanation:

Exponential function has the form f(x) = k [tex]b^{x}[/tex] where b > 0 and b ≠ 1

~~~~~~

3 = k × [tex]b^{0}[/tex] ⇒ k = 3

1.5 = 3( [tex]b^{1}[/tex] ) ⇒ b = 0.5

Thus, y = 3( [tex]0.5^{x}[/tex] )

Answer:

Use M A T H W A Y. It helps.

Answer:

A) -9.8 × (-23.5)

Step-by-step explanation:

negative × negative = positive

negative × positive = negative

positive × positive = positive

Answer:

228 individual cookies.

Step-by-step explanation:

To convert 19 dozen cookies to individual cookies, we first have to identify that:

[tex]dozen=12[/tex]

If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:

[tex]19*12=[/tex]

[tex]228[/tex]

Therefore, there are 228 individual cookies.

-

We can check our  work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:

[tex]228[/tex] ÷ [tex]19=12[/tex]

[tex]228[/tex] ÷ [tex]12=19[/tex]

As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!

Answer: B) Dilate by scale factor of 2

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Explanation:

Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.

If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.

Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.

Answer:

B

Step-by-step explanation:

Answer:

y = 11

Step-by-step explanation:

y = 2(7) - 3

y = 14 -3

y = 11

Answer:

it would be 1/3

Step-by-step explanation:

Answer: 1/3 chance

Step-by-step explanation:

In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3

Answer:

Dimensions = 4cm, 11cm and 21cm

  OR

Dimensions = 4cm, -21cm and -11cm

Step-by-step explanation:

Solving the quadratic equation by using the factorization method;

x² + 12x - 220 = 0

Factors = 22 and -10

x² + 22x - 10x - 220 = 0

x(x + 22) - 10(x + 220) = 0

(x - 10)(x + 22) = 0

Therefore, x = 10 or x = -22

Given the following data;

Length of one side = (x + 1)cm

When x = 10

Length of one side = (10 + 1)cm

Length of one side = 11cm.

When x = -22

Length of one side = (-22 + 1)cm

Length of one side = -21cm

Length of the other side = (x + 11)cm

When x = 10

Length of the other side = (10 + 11)cm

Length of the other side = 21cm

When x = -22

Length of the other side = (-22 + 11)cm

Length of the other side = -11cm

Check;

Volume of a cuboid = L*L*L

Volume of a cuboid = 4 * 11 * 21

Volume of a cuboid = 924cm³

Answer:

1) y=2x+6

Step-by-step explanation:

2) y=2×7+6=20ft

Answer:

y = 2x + 6 and the height is 20 feet after seven years.

Step-by-step explanation:

Hello we meet again.

You substitute the x with 7 and then it will be 2(7)+6. 2 times 7 is 14 plus 6 equals 20 so good luck.

Answer:

vcbnvjhgbvnhtrgbhj hy6tyuk

Step-by-step explanation:

The correct answer is:  [D]: " (-5 )x − " .

_________________________________________________________

Explanation:

_________________________________________________________

" -1/2(-3/2x + 6x + 1) − 3x " ;

=  (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) − 3x ;  

=   [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] − 3x ;  

=   [ (3/4)x − 3x − (1/2) ] − 3x ;  

=   (3/4)x − 3x − (1/2) − 3x ;  

= ?? ;   →  Combine the "like terms" ;  

          → "(3/4)x − 3x − 3x " =   ?? ;

                        → "(3/4)x − 3x = "(-9/4)x";

                        → "(-9/4)x − 3x = "(-21/4)x "  =  " (-5 )x " ;  

→  The answer is:  " (-5 )x −  " ;  

___________________________________________________

→   which is:

___________________________________________________  

→   Answer choice:  [D]:  " (-5 )x −  " .

___________________________________________________

Answer:

B

Step-by-step explanation:

Answer:

774 dollars

Step-by-step explanation:

Given the amount of profit, y, made by the company, is related to

the selling price of each widget, x, by the given equation

y = -8x^2 + 242x – 1056

The company made her maximum profit when dy/dx = 0

dy/dx = -16x + 242

0 = -16x + 242

16x = 242

x = 242/16

x = 15.125

Get the maximum amount of the profit

Substituting x = 15.125 into the function we have:

y = -8(15.125)^2 + 242(15.125) – 1056

y = -8(228.77)+3,660.25-1056

y = -1,830.09+3,660.25-1056

y = 773.91

Hence the maximum amount of profit the company can make, to the nearest dollar is 774 dollars

Answer:

17/190

Step-by-step explanation:

Its correct

Answer:

D

Step-by-step explanation:

1 x 17 = 17

10 x 18=180

so it's 17/180

Answer:

(4a - 5)(4a + 5)

Step-by-step explanation:

Assuming you require to factor the expression

Given

16a² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16a² - 25

= (4a)² - 5²

= (4a - 5)(4a + 5) ← in factored form

Answer100 POINTS! (50 split up) PLSSSSSTO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!

You measure the mass of an apple using a balance.

Answer:

Lana has 6 more candy bars than Markus.

Step-by-step explanation:

Lana has 6 bags, each with 3 candy bars. To find the total amount you multiply 6 by 3 which is 18. Markus has 3 bags, each with 4 candy bars, to find the total amount you also multiply 3 by 4 which is 12. Now you subtract:       18-12=6. So Lana has 6 more candy bars than Markus.

Answer:

Lana has 6 candy bars more than Markus

Step-by-step explanation:

6 x 3 = 18

3 x 4 = 12

18 - 12 = 6

Answer:

Step-by-step explanation:

Use Pythagorean as the ladder is going to be a hypotenuse of a formed right triangle with legs of 5.6 m and 1.4 m

Ladder length:

Answer:

If im not mistaking its b

Step-by-step explanation:

you gotta divide the nubers inside the box thing  with then numbers outside it then multiply

Step-by-step explanation:

the points are undefined

yeah I gotchuuu

C. 1/4

There is a table with 36 possible outcomes. 9 of them are desired outcomes because they have an even number rolled first and then an odd number rolled second (a few random examples from the table would be 2,1, 2,3, 4,1, 4,5, 6,3 etc.)

All we have to do is make a fraction of the desired outcomes over the total number of possible outcomes. 9/36. That can be simplified into 1/4 and voilà, there is your answer.

Hope this helped ッ

My Answer:

The of getting an even number in first and an odd number second is 1/4.

That would be option C.

I just took the quiz in math on edge 2020/2021

I hope this helps!

:)

Step-by-step explanation to answer:

So, the unit rate is $8 per yard of fabric now we need a expression which will be 13 times 8. 8 times 10 is 80 and 8 times 3 is 24. 80+24 is 104. We did associative, now we need communative. We will still get the answer to the question as we did with associative which will be 8 times 3 is 24 and 8 times 10 is 80. add that and we will get 104.

We know that 2 socks are in a pair. Hence, the rate would be like this: 2 socks/pair. We could also represent it as a ratio and fraction. I will choose the fraction form.

             x 17

2 socks   =    34 socks

1 pair    x 17   17 pairs

Therefore, if Vera owns 17 pairs of socks, she will have 34 socks in total.

Answer:

5 candles

Step-by-step explanation:

Enny is selling candles for $3 at a fund raiser

She starts selling $4 to help her make change

Therefore the number of candles x that will be sold to get $19 can be calculated as follows

3x + 4= 19

3x = 19-4

3x= 15

x = 15/3

x= 5

Hence 5 candles must be sold to get $19

Answer:

y = 9

Step-by-step explanation:

x + y = 8

-1 + y = 8

y - 1 = 8

Add one to both sides to isolate y.

y = 9

Have a great day!