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djyliett [7]
4 years ago
7

Noah and Andre are 15 miles apart on a bike path when they start biking towards each other. Noah rides at a constant speed of 4

miles per hour, and Andre rides at a constant speed of 2 miles per hour. How long does it take until Noah and Andre meet?
Choose one of these answers
2 hours
2 1/2 hours
1 3/4 hours
3 hours
Mathematics
1 answer:
AleksAgata [21]4 years ago
5 0

Answer:

2 1/2 hours

Step-by-step explanation:

multiply their rate by the number of hours

4*2=8

2*2=4

We want them to both equal 15 when added together

8+4≠15

So it's not 2 hours

So now our next answer choice is 2 1/2 hours

Ok that's easy, we can still use what we did from the last answer choice (2 hours)

Since it says 1/2 that means we can multiply the rate by 0.5 or divide it by 2

4/2=2

2/2=1

2+1=3

Now we add that to 8+4

8+4=12

2+1=3

12+3 = 15

Now that we've gotten 15 we know the rest of the answers are incorrect.

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Three times a number minus another number is -3. The sum of the numbers is 11. Find the numbers
MatroZZZ [7]

The first equation is

3x-y=-3

The second equation is

x+y=11

If you sum the two equations you'll cancel y:

4x=8 \iff x=2

And since the sum must be 11, we have y=9.

8 0
4 years ago
Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras
Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}

Podemos entonces despejar x de la siguiente manera:

h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07

6 0
4 years ago
Seven workers are hired to seed a field by hand. Each is given a plot which is 6x12 feet in size. What is the total area of the
Reil [10]
6 times 12= 72. 72 times 7= 504. 504 square ft.
5 0
4 years ago
Books: Josephine has seven chemistry books, three history books, and six statistics books. She wants to choose one book of each
Jobisdone [24]

Answer:

Step-by-step explanation:

we have totally 7+3+6=16 books.

let us choose one book from the all these books;

by using permutation formula we will get the answer

P(n,r)=\frac{(n)!}{(n-r)!} \\

P(7,1)=\frac{(7)!}{(7-1)!} = 7\\\\\ P(3,1)=\frac{(3)!}{(3-1)!} = 3\\\\ P(6,1)=\frac{(6)!}{(6-1)!} = 6\\\\

all these process are related to each other so we should multiply them

7*3*6=126

4 0
3 years ago
I will rate you the brainliest ‼️
Juliette [100K]
The answer is B.
Best of luck.
4 0
4 years ago
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