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3 years ago

5

Javier bought a 20 ounce smoothie that contains 450 total calories. How many calories does the smoothie contain per ounce

2 answers:

Aliun [14]3 years ago

7 0

450/20=22.5 calories per ounce

Akimi4 [234]3 years ago

7 0

Divide the calories by the ounces. 450/20=22.5 calories per ounce

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50-10x=20 what is the value of x in this problem

Andrew [12]

So what I did was I wrote down the problem 50 - 10x = 20.

The first step I did was take 50 and subtract it from both sides: 50 - 10x = 20
-50 -50
After that i cross out the so 50's and take 20 and subtract it to 50 which gave me -30. So when you write this down you rewrite it as: -10x = -30

Last step: take the -10 and divide it by both sides the cross out the two -10's cause it's going to be written as -30/-10 which would give you x = 3. So there is your answer, hope this helps. :)

~Shadow

7 0

3 years ago

If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

6 0

3 years ago

HELP WITH MY MATH PLS

Vilka [71]

Answer:

a) slope intercept form: y = -5/14 x + 7/2

b) point slope form: y - 1 = 3/2(x - 4)

Step-by-step explanation:

a) Line A: (4,1) and (0, 7/2)

Slope = (1 - 7/2)/(4 - 0)

Slope = - 5/2 * 1/4

Slope = - 5/14

Equation in slope intercept form:

y = -5/14 x + 7/2

b)

(4,1) and (0, -5)

Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2

Equation in point slope form:

y - 1 = 3/2(x - 4)

4 0

3 years ago

What is 457.8 divide 70 use number sense to help you

Luba_88 [7]

The answer to your question is 6.54

8 0

3 years ago

Read 2 more answers

From a hot air balloon that is between his house and parade, john measures the angle of depression to his house of 35 and to the

igomit [66]

4500 feet

Step-by-step explanation:

We can begin by finding x using the tangent rule;

The tangent of the angle = the length of the opposite side / the length of the adjacent side

Tan 35 = 3500 / x

X = 3500 / tan 35

X = 3500 / 0.7

X = 5000

Now that we have x we can calculate the value of ? using the same tangent rule;

Tan 42 = ? / 5000

? = tan42 * 5000

? = 0.9 * 5000

? = 4500

Learn More:

For more on trigonometry check out;

brainly.com/question/12710176

brainly.com/question/11275089

#LearnWithBrainly

4 0

3 years ago

Read 2 more answers