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4 years ago

7

julia can finish a 20-mile bike ride in 1.2 hours. katie can finish the same bike ride in 1.6 hours. how much faster does julia

ride than katie?

2 answers:

liq [111]4 years ago

8 0

Answer:4.2

Step-by-step explanation:

svet-max [94.6K]4 years ago

4 0

You can easily find this answer by thinking 1.6-1.2 and since they both have 1 whole you just minus 6-2.

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45% of _____________is 165

elena-14-01-66 [18.8K]

Answer:

366.666666

Step-by-step explanation:

Let the number be x

45% of x = 165
x*45/100 = 165
x = 165*100/45
x = 366.666666

7 0

3 years ago

The volume of a cylinder is 8478 cubic inches and the radius is 15 inches which measurement is closest to the height of the cyli

jolli1 [7]

Answer:

90 inches

Step-by-step explanation:

hope it may help u I am sure about the ans

if possible mark me brainlist

6 0

3 years ago

The differential equation below models the temperature of a 95°C cup of coffee in a 19°C room, where it is known that the coffee

frozen [14]

Answer:

y (t) = 19 + 76*e^(-(1/51)*t)

Step-by-step explanation:

We have the following differential equation model:

dy / dt = - (1/51) * (y -19)

The initial conditions are: y (0) = 95 and y '(70) = 1

We solve the differential equation, separating variables:

1 / (and -19) * dy = - (1/51) * dt

we integrate on both sides:

ln (y -19) = - (1/51) * t + C

e ^ ln (y -19) = e ^ (- (1/51) * t + C)

y - 19 = C1 * e ^ (- (1/51) * t)

y = 19 + C1 * e ^ (- (1/51) * t)

replacing, and (0) = 95

95 = 19 + C1 * e ^ (- (1/51) * 0)

95 = 19 + C1 * e ^ 0

95 = 19 + C1

C1 = 95 - 19 = 76

Therefore the equation would be:

y (t) = 19 + 76 * e ^ (- (1/51) * t)

4 0

3 years ago

Solve 2 - (7x + 5) = 13 - 3x (make sure to type the number only)

nadezda [96]

Answer:

x = -4

Step-by-step explanation:

2 - (7x + 5) = 13 - 3x

add the binomial (7x +5) to both sides

2 = (7x + 5) + 13 - 3x

combine like terms

2 = 4x + 18

subtract 18 from both sides

-16 = 4x

divide by 4

x = -4

7 0

3 years ago

Read 2 more answers

Find the length of Lw

pav-90 [236]

Answer:

$LW=17.5\ units$

Step-by-step explanation:

we know that

<em>In the right triangle LAY</em>

<em>Find the measure of side LY applying the Pythagoras Theorem</em>

$LY^{2} =3.5^{2}+ 7.0^{2} \\ \\ LY^{2} =61.25\\ \\ LY=\sqrt{61.25}\ units$

Find the cosine of angle ALY

$cos($

$cos($ -----> equation A

<em>In the right triangle LWY</em>

$cos($

$cos($ -----> equation B

equate equation A and equation B and solve for LW

$\frac{3.5}{\sqrt{61.25}}=\frac{\sqrt{61.25}}{LW}$

$LW=(\sqrt{61.25})(\sqrt{61.25})/3.5$

$LW=17.5\ units$

4 0

3 years ago