tony completes one lap of a track every 20 seconds. diana completes one lap of the same track every 55 seconds. suppose tony and diana start at the starting line at the same time. how many seconds will it be before they cross the starting line at the same time again?​

Answer:(2,0) x=2,y=0

Step-by-step explanation:

Let's solve your system by elimination.

−x+y=−2;2x−3y=4

Multiply the first equation by 2,and multiply the second equation by 1.

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0 for y:

−y=0

−y/−1 =0/−1

(Divide both sides by -1)

y=0

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute0foryin−x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/−1 = −2/−1

(Divide both sides by -1)

x=2

Answer: SIDE ANGLE SIDE

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

Answer:

D. (x - 4)(x + 9)

Step-by-step explanation:

x2+5x−36

[think of numbers that add together to get 5 and multiply together to get -36!]

-4 + 9 = 5

-4 * 9 = -36

hope this helped! :]

Answer:

D: ( x - 4 ) ( x + 9 )

Step-by-step explanation:

By multipling the two friction :

x2 + 9x - 4x - 36

= x2 + 5x - 36

Answer:

B. -27

Step-by-step explanation:

7*-5= -35           6*2 = 12 .          t= 4

-35 + 12 = -23

-23 - 4 = -27

Answer: B. -27

Step-by-step explanation:

7(-5) + 6(2) - 4

-35 + 12 - 4

-23 - 4

= -27

Answer:

B = -10

Step-by-step explanation:

the answer is B = - 10

Answer:

b. -10

Step-by-step explanation:

Answer:

2/5= yellow

3/5= blue

Step-by-step explanation:

total cards= 2(yellow) + 3 (blue)

=5 cards total

probability for drawing yellow card= 2/5

probability for drawing blue card= 3/5

Step-by-step explanation:

a)2:5

2/5x100=40%

b)3:5

3/5x100=60%

i don't what U want so, I hope it'll help U

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye

The length of segment BC is approximately 10.92 units.

To find the length of segment BC, we can use the properties of a tangent to a circle.

In a circle, a tangent is perpendicular to the radius drawn to the point of tangency. Therefore, triangle ABC is a right triangle with AB as the hypotenuse.

Given that the radius of the circle is 5 units and the tangent AB has a length of 12 units, we can apply the Pythagorean theorem to find the length of segment BC.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides (BC and AC).

Applying the theorem to triangle ABC:

AB^2 = BC^2 + AC^2.

Substituting the given values:

12^2 = BC^2 + 5^2.

144 = BC^2 + 25.

Rearranging the equation:

BC^2 = 144 - 25.

BC^2 = 119.

Taking the square root of both sides:

BC = √119.

Therefore, the length of segment BC is approximately equal to √119 units.

Since it's not possible to represent the square root of 119 exactly as a whole number or fraction, we can leave the answer as √119 or approximate it as a decimal. The decimal approximation for √119 is approximately 10.92.

For more such question on segment. visit :

https://brainly.com/question/28322552

#SPJ8

Answer: 300

Step-by-step explanation:

20% of $250 is $50

So $300

Answer:

(-4,-4)

Step-by-step explanation:

Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.

In this coordinate: (-4,4)

Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).

The new coordinates after being reflected across the x-axis are (-4,-4).

Answer:

False

Step-by-step explanation:

3 and 6 are alternating interior angles. If A and B were parallel, Angle3 would be equal to (180 - Angle6). Because the question indicated that they're congruent, the two lines are not parallel.

Answer:

D.

Step by step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)

Hope this helps!

Answer:

720

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 1/2

2. 1/4

3. 1/8

Answer:

90 degrees c

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Also can you give me brainlist???

Answer:

90 degrees celsius

Answer:

A. False

B. True

C. True

D. True

Step-by-step explanation:

Hey man good luck that’s all i can say brotha

Answer:

9/12 is equal to 3/4.

Step-by-step explanation:

9 and 12 can both be divided by 3. In the fraction, divide both the top and the bottom by 3 and you get 3/4.

9/12 simplified is 3/4.

I suspect where Chris went wrong was that he though 9 divided by 2 was 3. In reality, it's 4.5.

Maybe he went wrong because he accidentally divided 12 by 2 instead of 3.

The fraction 9/12 and 3/6 are not equivalent as 91/2 is 3/4.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Chris said that a fraction equivalent to 9/12 is 3/6.

We know we write fractions in the simplest form.

Now, In the fraction 9/12 we can factor out 3 to both the numerator and the denominator.

Therefore, The fraction 9/12 is equivalent to 3/4.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:

number 2 - x=50, y =69

Step-by-step explanation:

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

9514 1404 393

Answer:

Step-by-step explanation:

The relative maxima are the peaks, the highest points. There are two of them. One is to the left of the y-axis at about x=-3; the other is to the right of the y-axis at about x=1.

The relative minima are the valleys, the lowest points. There are two of those, also. One is to the left of the y-axis at about x=-1; the other is to the right of the y-axis at about x=5.

Answer:

352 in squared

Step-by-step explanation:

Using the formulas

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=12·8+10·8+10·8+1

2·﹣124+2·(12·10)2+2·(12·10)2﹣104+2·(10·10)2﹣104

=352

Answer:

need the whole question .....

Step-by-step explanation:

Answer:

The median score is 80 ;)

Step-by-step explanation: