2 years ago

Katie runs 4 miles in 24 minutes. How many miles can she run in 30 minutes?

Mathematics

2 answers:

vova2212 [387]2 years ago

8 0

Katie runs 1 mile every 6 mins so she can run 5 miles in 30 mins.

elena-14-01-66 [18.8K]2 years ago

6 0

I used proportions to figure out the answer. Hope this helps!

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Daniel went to Target and bought a basketball for $ 21.85 and a shirt for $12.68. Daniel received $ 0.47 in change. How much did

jarptica [38.1K]

Answer:

$35

Step-by-step explanation:

To do this you would just add the 2 prices together and you would get $34.53 and you would add 47 cents to that and you would get that Daniel gave $35 to the cashier.

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3 years ago

Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

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3 years ago

Calcular s, si la figura es un prisma a=15m2, b=20m2

julia-pushkina [17]

Celculate the figures by using the numbers,with letters

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3 years ago

You have $550 in a savings account that earns 3% simple interest each year. How much will be in your account in 10 years? Pleaze

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You would have $550.30

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3 years ago

WILL GIVE BRAINLIEST!

Leto [7]

Answer:

I'm not sure how to answer this.

Step-by-step explanation:

Is this the full question? The context seems to be missing something. Who are Ben and Scott and who are the other 2 candidates?

Maybe post another question and rephrase it.

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2 years ago

Read 2 more answers