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Anestetic [448]
3 years ago
10

Toby skated from his house to the beach at a constant speed of 8 kilometers per hour, and then skated from the beach to the park

at a constant speed of 7 kilometers per hour. The total distance Toby skated was 20 kilometers, and it took him twice as long to get to the park. Let b be the number of hours it took Toby to skate from his house to the beach, and p the number of hours it took him to skate from the beach to the park. Which system of equations represents this situation?
Mathematics
1 answer:
german3 years ago
8 0

Answer:

8b+7p=20

p=2b

Step-by-step explanation:

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Help me with this math question please
Maksim231197 [3]

the solution is where the line cross on the y axis, which is on 0

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6 0
3 years ago
Can someone help me? And possibley tell me how to solve this as well? I'm totally clueless haha
Bumek [7]

Answer:

? = 3

Step-by-step explanation:

To find the value of ?, substitute one of the ordered pairs from the table [except (0, 0)] into the given formula and solve for ?.

Given formula:

\sf y=\boxed{?} \:x

Substitute x = 1 and y = 3 into the formula:

\sf 3=\boxed{?} \:1

To isolate ? divide both sides by 1:

\implies \sf \dfrac{3}{1}=\dfrac{\boxed{?} \:1}{1}

\implies \sf 3=\boxed{?}

Therefore, ? = 3:

\implies \sf y=3x

Check by inputting another value of x from the table into the found formula and comparing the calculated y-value:

\sf x=-2 \implies y=3(-2)=-6 \quad \boxed{\sf correct}

\sf x=3 \implies y=3(3)=9 \quad \boxed{\sf correct}

5 0
2 years ago
Read 2 more answers
Write the partial fraction decomposition fro the ration expression below
zlopas [31]
\dfrac{5x-2}{(x-1)^2}=\dfrac a{x-1}+\dfrac b{(x-1)^2}
5x-2=a(x-1)+b

Since 5x-2=5x-5+3=5(x-1)+3, it follows that a=5 and b=3, so

\dfrac{5x-2}{(x-1)^2}=\dfrac5{x-1}+\dfrac3{(x-1)^2}

\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac{x^3+x+x+2}{x^2(x^2+1)}=\dfrac ax+\dfrac b{x^2}+\dfrac{cx+d}{x^2+1}
x^3+x^2+x+2=ax(x^2+1)+b(x^2+1)+(cx+d)x^2
x^3+x^2+x+2=(a+c)x^3+(b+d)x^2+ax+b

When x=0, you find that b=2. It's also clear that a=1. So the remaining constants must be 1+c=1\implies c=0 and 2+d=1\implies d=-1, and so you get

\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac1x+\dfrac2{x^2}-\dfrac1{x^2+1}
6 0
3 years ago
The quotient of twice a number and 7 translate this expression
g100num [7]

Answer:

2n / 7

Step-by-step explanation:

The quotient is the result of a division

7 0
3 years ago
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SVETLANKA909090 [29]

Answer:

A) 35/12

Step-by-step explanation:

The tangent of an angle is the opposite side of that angle over the adjacent side of the angle

7 0
3 years ago
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