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2 years ago

It take Andre 4 minutes to swim 5 laps.

Mathematics

1 answer:

Liula [17]2 years ago

5 0

Answer:

a. 1.25 laps per min

b. .8 min per lap

c. 17.6 minutes

Step-by-step explanation:

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What values of c and d make the equation true?

saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

$(a^m)^n=a^{mn$

$\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d$

According to the Product of powers property:

$(a^m)(a^n)=a^{(m+n)$

Then. simplifying you get:

$162x^cy^5=162x^6y^{(3+d)}$

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

$c=6$

You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

$3+d=5\\d=5-3\\d=2$

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3 years ago

5k + 2 items for a total cost of 35k 2 + 29k + 6.

Elena L [17]

69,010 is the total cost of ???

7 0

3 years ago

Find the slope of the line that passes through the points (2,1) and (-7,4)

VladimirAG [237]

Answer:

$-\frac13$

Step-by-step explanation:

Just the slope, so we can simply apply the definition, as variation in y over the variation in x

$m= \frac{\Delta y}{\Delta x} = \frac{1-4}{2-(-7)} = \frac {-3}{9} = -\frac13$

3 0

2 years ago

Read 2 more answers

Joe pays $25.10 for 2.5 pounds of wall-paper. What is the price, in dollars and cents, per pound of wall paper?

11111nata11111 [884]

Answer:

10.04

Step-by-step explanation:

25.10/2.5=10.04

5 0

3 years ago

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How many solutions does the system have?

slega [8]

This system has exactly one solution.

8 0

3 years ago