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Anon25 [30]
3 years ago
5

Eli was using a recipe for a large smoothie that required three and three–thirds bananas. Instead of making one smoothie, Eli de

cided to use the recipe to make three small smoothies. How many bananas will be required for each small smoothie? *
Mathematics
1 answer:
notka56 [123]3 years ago
6 0

Answer:

three small smoothies require one and one-third bananas.

Step-by-step explanation:

Assuming that the three small smoothies are equal, and their sum equals the one large smoothie;

Number of bananas required for one large smoothie = three and three-third

three-thirds mean that out of three parts, three parts were selected. Therefore, three-thirds is the same thing as a whole or 1

∴ three and three-third  = 3 + \frac{3}{3} = 3 + 1 = 4

Therefore, the one large smoothie required 4 bananas.

Large smoothie = 4 bananas

three small smoothies = \frac{4}{3} = 1 \frac{1}{3}

Hence, three small smoothies require one and one-third bananas.

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Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total
____ [38]

Answer:

Kyle’s fixed monthly salary in dollars is $1800

Step-by-step explanation:

let a be the fixed monthly salary

let b% represent the fixed percentage of sales

a+(b%*15000)=2550

a+(b%*25000)=3050

a+(b/100*15000)=2550

a+150b=2550

a+(b/100*25000)=3050

a+250b=3050

now we have

a+150b=2550

a+250b=3050

let subtract a+150b=2550 from a+250b=3050

100b=500

b=500/100=5%

then a+(5%*15000)=2550

      a+750=2550

      a=2550-750=$1800

8 0
3 years ago
Jenna solved the equation 2x^2 +5x - 42 = 0 . She stated that the solutions to the equation were 7/2 and -6. Do you agree with J
mr_godi [17]

Answer:

Yes. Her solution is correct.

Step-by-step explanation:

Let's check if Jenna solution is correct:

To solve the equation 2x^2 +5x - 42 = 0, we can use Bhaskara's formula:

D = b^2 - 4ac = 25 + 4*2*42 = 25+336 = 361

sqrt(D) = 19

x1 = (-5 + 19)/4 = 14/4 = 7/2

x2 = (-5 - 19)/4 = -24/4 = -6

We must agree with Jenna's solution, because the values she found as solution are correct: with we replace these values of x in the equation, we will find 0 = 0, which is correct and proves that these values are the solution of the equation.

7 0
3 years ago
Read 2 more answers
A archer releases an arrow with an initial velocity of 30 feet per second at a height of 3 feet. The path the arrow takes
Alekssandra [29.7K]

Answer:1.97

Step-by-step explanation:

7 0
3 years ago
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A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.
GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: A(x) = x^2 but we aim to find \frac{dA}{dt}. But we can use the chain rule to pull out that dA/dt. Doing so gives us:

\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.

Now, \frac{dA}{dx} = 2x (by the power rule and \frac{dx}{dt} = 3.

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.

7 0
4 years ago
What is the range of y=2 to the power of x
melisa1 [442]
The range is 0 to indifinity
6 0
4 years ago
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