Four runners formed a relay team at
Jan’s high school. The team completed
the relay in 3.86 minutes. Each runner
ran exactly the same time. What was
each runner’s time?

Answer:

30

Step-by-step explanation:

Evaluate –3ab when a = –2 and b = 5.

-3ab = -3(-2)(5)

-3(-10)

; (-)×(-) = +

30

Answer:

-30

Step-by-step explanation:

-3ab        original equation

-3(-2)(-5) .          plug in numerical values

6(-5) .             -3 times -2 is 6

-30 .         6 times -5 is -30.

the other solution is[tex]\frac{-9}{5}[/tex]

Answer:

Solution given:

[tex]5x^2 -11x-36=0[/tex]

doing middle term factorization

we need to get 11 by subtracting product of 5 and 36.

5*36=180=2*2*3*3*5

we get 11 by subtracting 5*2*2-3*3=20-9

substituting value of 11 as (20-9)

now

[tex]5x^2 -(20-9)x-36=0[/tex]open bracket

[tex]5x^2 -20x+9x-36=0[/tex]

taking common from each two terms

5x(x-4)+9(x-4)=0

again taking common

(x-4)(5x+9)=0

either

x-4=0

x=4

or

5x+9=0

5x=-9

x=[tex]\frac{-9}{5}[/tex]

Step-by-step explanation:

Following are the calculation to the given equation:

Given:

[tex]\to 5x^2 - 11x - 36 = 0[/tex]

one solution:

[tex]x=4[/tex]

To find:

other solution=?

Solution:

[tex]\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\[/tex]

Therefore, another solution is "[tex]-\frac{9}{5}[/tex]".

Learn more:

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Answer:

Value of [tex]x=-12[/tex]

Step-by-step explanation:

The given triangle is isosceles

Here

[tex]m\angle2+m\angle2+36^0=180^0\\\\2m\angle2=144^0\\\\m\angle2=72^0\\\\x+84=72\\\\x=72-84\\\\=-12[/tex]

[tex]m∠2+m∠2+36⁰= 180°[/tex]

[tex]2m∠2 = 144°[/tex]

[tex]m∠2 = 72⁰[/tex]

[tex]x +84 = 72[/tex]

[tex]x = 72 - 84[/tex]

[tex]x= -12[/tex]

Answer:

500 < c < 1,700

Step-by-step explanation:

[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]

[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]

Answer:.35,38% 3/5

Step-by-step explanation:Hope this helped

Answer: 0.35, 38% , 3/5

Step-by-step explanation:

3/5= 0.6= 0.60

38%= 0.38

0.35

Answer:

domain: x>=0

range: y>=1

Step-by-step explanation:

domain: x>=0

range: y>=1

Answer:

12

Step-by-step explanation:

You need the GCF of 48 and 60

48 = 2 x 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

Both have 2 x 2 x 3, so the answer is 12

We have:  x ×  [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{5}[/tex] = x ×  [tex]\frac{3}{4}[/tex]  ×  [tex]\frac{5}{3}[/tex] =  x × [tex]\frac{5}{4}[/tex] = x ÷ [tex]\frac{4}{5}[/tex]

ANSWER:  E. 4/5

Ok done. Thank to me :>

Answer:

intrest=principle*rate* time

Step-by-step explanation:

Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter.

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise

Answer:

Circumference of a circle

Answer:

REFER TO ATTACHMENT.

Answer:

4 m

Step-by-step explanation:

1 m = 10 dm

1 dm = 0.1m

(pls brainliest)

Answer:

It has to be D.

Answer:

a = 70°, b = 140°

Step-by-step explanation:

use alternate interior angles

The interior angles of a straight line are 180°

a = 180°-110° = 70°

b = 180°-40° = 140°

//I'm sorry, but I'm not very fluent in English.

Answer:

Option B

Step-by-step explanation:

Angles can be named by only the middle point's name. Option B would be correct in this case, because the point in the center of the angle is point R.

Answer:

A)

Step-by-step explanation:

3x-2y=5

2y=3x-5

y=3/2x-5/2

y = 3/2x + -5/2

hope this helps!

I hope this help too.

Answer:-

The linear sequence 27, 25, 23, 21, 19... is an arithmetic progression with (-2) as the common difference.

The nth term of an arithmetic progression is an=a1+(n−1)da_n=a_1+(n-1)dan​=a1​+(n−1)d, where ana_nan​ is the nth term, a1a_1a1​ is the first term, d is the common difference.

In our case, n=50,a1=27,d=−2n=50, a_1=27, d=-2n=50,a1​=27,d=−2 , hence, we get

a50=27+49⋅(−2);a50=27−98=−71.a_{50}=27+49\cdot(-2);\\ a_{50}= 27-98=-71. a50​=27+49⋅(−2);a50​=27−98=−71.

The 50th term of this sequence is (-71).

Answer:

53/5

Step-by-step explanation:

I hope this helps u.

Mark me as brainliest.

Step-by-step explanation:

honestly kinda stumped so ima give you the best copy and pasted answer ever

A:

Isolate the variable by dividing each side by factors that don't contain the variable. y = x/3 − 4/3

and also x=7 y=1

HOPE I HELPED, SORRY IF I GOT IT WRONG <3

Answer:

400m

Step-by-step explanation:

40% of some quantity = 0.4 times the quantity

We also know 1 km = 1000 m, therefore: 40% of 1000m = 0.4 * 1000m = 400m.

40% of 1 km in meters is 400 meters

Percentage simply means per 100. Percentage can be express as decimal or fraction.

For example 25% of 80 can be found as follows:

From the example, 25% of 80 is 20 .

Therefore, 40% of 1 km(m) can be found as follows:

Let's convert km to metres.

1000m = 1km

40% of 1000

40 / 100 × 1000 = 40000 / 100 = 400metres

Therefore, 40% of 1 km in meters is 400 meters

learn more on percentage here: https://brainly.com/question/19540991?referrer=searchResults

Answer:

1200 times in 10 minutes.

Step-by-step explanation:

There's 5 amounts of 2 minutes in 10.

Therefore multiply 240 by 5.

24 x 5 = 120 x 10 = 1200 times.

Answer:

If it blinks 240 times in 2 minutes, then you need to multiply 240 and 5. My work is shown below...

2 = 240

2 x 5 = 10

5 x 240 = 1200

This means the neon sign blinks 1200 times every 10 minutes.

Step-by-step explanation:

Have a great day and please mark brainliest!

Answer:

The first number is -3, the second number is 8

Step-by-step explanation

Let x = the first number

exceeded means add, so the second number is x+11

sum means add, so the equation is x+x+11=5

combine like terms to get 2x+11=5

subtract 11 on both sides, 2x=-6

divide by 2 on both sides, x= -3

second number was x+11, so -3+11 = 8

Answer: -3x+4

Step-by-step explanation:

combine like terms.

3x+ -6x=-3

-3+-3+2= -4

-3x + -4

Answer:

2

Step-by-step explanation:

If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!