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3 years ago

14

David leaves his house, jogging down the street at 4 mph. Once David has gone 1/5, Jacob comes out and follows him at a rate of

4.5 mph. How long will it take Jacob to catch David?

1 answer:

Vera_Pavlovna [14]3 years ago

6 0

0.9 Miles So idk ive got part sorry...<span>7 Min And 21 Secs Around There</span>

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Forty children from an after-school club went to the matinee.This is 25% of the children in the club.How many children are in th

Korvikt [17]

25% = 0.25

40 / 0.25 = 160

40 is 25% of 160.

There are 160 children in the club.

7 0

3 years ago

MATH HELP!!! 100PTS!!!

Lostsunrise [7]

Answer:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Step-by-step explanation:

<u>Given functions</u>:

$p(x)=2x-4$

$r(x)=\dfrac{6x-1}{9x+1}$

Solve for p(x) = r(x):

$\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}$

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=18, \quad b=-40, \quad c=-3$

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

$\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}$

Therefore, the solutions are:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Learn more about quadratic equations here:

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brainly.com/question/27739892

6 0

1 year ago

What is 96 multiplied by 72

Wewaii [24]

Question: What is 96 multiplied by 72.

Answer:6912

Steps:Multiple 96 x 72.

3 0

3 years ago

Consider the following trigonometric function. h(x) = 3 sin (2x - pi) + 2. Graph h(x) in the interactive widget.

Ket [755]

Answer:

Hope it helped!

Step-by-step explanation:

7 0

3 years ago

The sum of two numbers is 87. if three times the smaller number is subtracted from the larger number the result is seven. find t

Stolb23 [73]

$\left \{ {{a+b=87} \atop {a-3b=7}} \right.

$

a-3b=7
a=7+3b

a+b=87
(7+3b)+b=87
7+4b=87
4b=87-7
4b=80
b=20

a=7+3b
a=7+3*20
a=7+60
a=67

5 0

3 years ago