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3 years ago

How do I do the math for this question I don't understand

Mathematics

2 answers:

inessss [21]3 years ago

7 0

Paul traveled 150 miles

nadya68 [22]3 years ago

3 0

You will have to divide the two numbers.

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you are traveling to an island that is accesible only by boat. you plan to take one boat there and a different boat back. You'll

weqwewe [10]

$\text{Answer: }\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}$

Step-by-step explanation:

Since we have given that

Time taken by steamboat makes the trip=5 hours

Time taken by yacht makes the trip =2.5 hours

Since we have also given that

the yacht is 20 knots faster than the steamboat,

So let the speed of steamboat be x

Let the speed of yacht be x+20

Now, we have given that both boats will travel the same distance ,

So,

$\text{Distance traveled by steamboat}=\text{ Distance traveled by yacht}\\\\x\times 5=(x+20)\times 2.5\\\\5x=2.5x+50\\\\5x-2.5x=50\\\\2.5x=50\\\\x=\frac{50}{2.5}\\\\x=20\text{ knots}$

Hence,

$\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}$

7 0

3 years ago

Catherine is using a spool of yarn to knit some items. She uses 14 3/8 yards of yarn to knit a scarf. The number of yards of yar

tresset_1 [31]

Answer:

17 5/8

Step-by-step explanation:

Thats the answer

7 0

3 years ago

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3x3 – 19x2 + kx – 30<br> What is the value of k?

Citrus2011 [14]

Answer:

Let's simplify step-by-step.

(3)(3)−(19)(2)+kx−30

=9+−38+kx+−30

Combine Like Terms:

=9+−38+kx+−30

=(kx)+(9+−38+−30)

=kx+−59

Answer:

=kx−59

6 0

3 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(

9966 [12]

Answer:

all of them

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers