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stira [4]
3 years ago
15

Amber is packaging up presents to give to her friends. She has 45 pencils and 36 stickers. All of the presents need to contain t

he same amounts of stickers and the same amount of pencils. What is the greatest number of presents that she can make? How many of each item is in each present?
Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

The highest quanity of presents possible is 36. She can do up to 1 sticker and 1 pecil for each present with 9 pencils left over

Step-by-step explanation:

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Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.
Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or)  part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

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4 0
1 year ago
Find the distance BF for the points B(1,-1) and F(-3,5)
Nadusha1986 [10]
Use the distance formula: 
<span>\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
<span>
Plug in the given coordinates: 
</span><span>\sqrt{(-3-1)^2 + (5-(-1))^2}
<span>
Simplify: 
</span>\sqrt{(-3-1)^2 + (5+1))^2}

\sqrt{-4^2+ 6^2}

\sqrt{16+36}

\sqrt{52}
You can leave it as: \sqrt{52}or in decimal form as: 7.2
</span></span>
6 0
3 years ago
X/4 7
Alina [70]

Formula for area of a rectangle is the base x height.

3 0
3 years ago
Every store has 25% off sale on coats with the discount the price of one code is 33.50 what is the original price of the coat
Delvig [45]

Answer:

The original price of the coat is $44.67

Step-by-step explanation:

In order to find this, we need to start with the cost after the discount. We can then divide this by the amount in percentage that we paid. Since it is 25% off, we paid 75%.

$33.50/75% = $44.67

8 0
3 years ago
An integer is 15 more than 2 tomes another. If the product of two integers is -27 then find the integers
andre [41]

Answer:

x = 9 and y = -3

Step-by-step explanation:

Let's say the first integer is x and the second one is y. Then, if we put the words into mathematical expressions, we get:

x = 15 + 2y

xy = -27

We can use substitution to solve this system of equations. We put 15 + 2y in for x in xy = -27:

(15 + 2y)*y = -27 ⇒ 2y² + 15y = -27 ⇒ 2y² + 15y + 27 = 0

Now, we have a quadratic to solve, so after some trial and error, we get:

(2y + 9)*(y + 3) = 0

Setting each of these to 0, we get two possible answers for y:

y = -9/2 or y = -3.

However, it says that y is an integer, so it can't be -9/2 and must be -3. We use this to find x:

x = 15 + 2*(-3) = 15 - 6 = 9

So, the two numbers are x = 9 and y = -3.

7 0
3 years ago
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