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vekshin1
3 years ago
9

Jeremy celebrates his baby's first birthday party. he has $100. he purchased vanilla cake for $30, one big balloon for $10, and

10 birthday caps. each of the birthday caps cost the same price. write an equation representing the total expenditure of the party and determine the price of one cap.
Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0
100 = 30 + 10 + 10x
100 = 40 + 10x
-40 -40
60 = 10x
--- ----
10 10

6 = x


The equation is: 100 = 30 + 10 + 10x
The price of one cap is: $6
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The sum of three consecutive even numbers is 306. Find the three numbers.​
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Answer:

100, 102, 104

Step-by-step explanation:

Hi there!

Let <em>x</em> be equal to the first number in the set of the three consecutive even numbers.

We're given that the sum of three consecutive even numbers is 306.

Because <em>x</em> is the first number, the next would be <em>x</em>+2, and then <em>x</em>+4. These are our even numbers.

We can now set up an equation:

(x)+(x+2)+(x+4)=306

Combine like terms:

x+x+x+2+4=306\\3x+6=306\\3x=300\\x=100

Therefore, the first number in the set of 3 numbers is 100.

The next two even numbers after 100 is 102 and 104.

Therefore, the three numbers are 100, 102 and 104.

I hope this helps!

3 0
3 years ago
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Darya [45]

Answer:

expanded form

Step-by-step explanation:

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3 years ago
Please help with this
Tanya [424]

Answer:

Step-by-step explanation:

y = mx + b

Take any two points and set up 2 equations with 2 unknowns.

I'll start with the first two

y = 4x + b

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440 = 6x + b                   (2)

Subtract (1) from (2)

440 = 6x + b

<u>410 = 4x + b</u>            Subtract

30  = 2x                  Divide by 2

30/2 = 2x/2

x = 15

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b = 350

Now here is what you found.

Her base salary is 350 dollars

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Answer:

Step-by-step explanation:

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3 years ago
Find the x and y intercept for -2x-5y=30
Ahat [919]

Answer:

see below

Step-by-step explanation:

-2x-5y=30

To find the x intercept, set y =0 and solve for x

-2x-5*0=30

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To find the y intercept, set x =0 and solve for y

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3 0
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