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Lelu [443]
3 years ago
15

Kellen wants to rent a banquet room in a restaurant for her cousin’s baby shower. The restaurant charges $350 for the banquet ro

om plus $32.50 per person for lunch. How many people can Kellen have at the shower if she wants the maximum cost to be $1,500?
please help
Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

35

Step-by-step explanation:

To solve this problem, we can make an equation using the values provided to us. The equation is shown below:

350 + 32.50x = 1,500

The first step is to subtract 350 from 1,500.

32.50x=1,500-350

32.50x=1,150

The last step is to divide 1,150 by 32.50 to get <em>x</em> by itself.

x=\frac{1,150}{32.50}

x=35.38

Kellen can have 35 people at the shower.

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A couple decided to have 4 children.
AveGali [126]
See below the theee of possibilities:

BBBB
BBBG
BBGB
BBGG
BGBB
BGBG
BGGB
BGGG
GBBB
GBBG
GBGB
GBGG
GGBB
GGBG
GGGB
GGGG

There are 16 differents possibilities.
In 11 of them have at least 2 boys

So probability is 11/16
7 0
3 years ago
What is a35 for the arithmetic sequence presented in the table below?
Kryger [21]

Answer: choice B) a35 = -118

=====================================================

Explanation:

When n = 5, an = 32 as shown in the first column of the table. This means the fifth term is 32. Plug in those values to get

an = a1+d(n-1)

32 = a1+d(5-1)

32 = a1+4d

Solve for a1 by subtracting 4d from both sides

a1 = 32-4d

We'll plug this in later

Turn to the second column of the table. We have n = 10 and an = 7. Plug those values into the formula

an = a1+d(n-1)

7 = a1 + d(10-1)

7 = a1+9d

Now substitute in the equation in which we solved for a1

7 = a1+9d

7 = 32-4d+9d ... replace a1 with 32-4d

7 = 32+5d

5d = 7-32

5d = -25

d = -25/5

d = -5

This tells us that we subtract 5 from each term to get the next term.

Use this d value to find a1

a1 = 32-4d

a1 = 32-4*(-5)

a1 = 32+20

a1 = 52

The first term is 52

--------------

The nth term formula is therefore

an = 52 + (-5)(n-1)

which simplifies to

an = -5n + 57

To check this result, plug in n = 5 to find that a5 = 32. Similarly, you'll find that a10 = 7 after plugging in n = 10. I'll let you do these checks.

--------------

Replace n with 35 to find the 35th term

an = -5n + 57

a35 = -5(35) + 57

a35 = -175 + 57

a35 = -118

7 0
3 years ago
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other?3 – 6x + 4x2 + 3x – 6x2 –
fomenos

Answer:

The rearrangement of the terms is 4x^2-6x^2-6x+3x+3-4.

Step-by-step explanation:

The given expression is

3-6x+4x^2+3x-6x^2-4

Two terms are called like terms if they have same variables having same degree.

In the given expression 3 and -4, -6x and 3x, 4x² and -6x² are like terms.

Arrange the given terms according to their degree and arrange in this way so like terms are next to each other.

4x^2-6x^2-6x+3x+3-4

Therefore the rearrangement of the terms is 4x^2-6x^2-6x+3x+3-4.

7 0
3 years ago
What is the estimate of 212,514+396,705
Evgesh-ka [11]
Change 212,514 into 215,000.

Change 396,705 into 400,000.

--------

Estimate:

215,000 + 400,000 = 615,000

Therefore:

212,514 + 396,705 ≈ 615,000
4 0
3 years ago
What is the total surface area?
Elanso [62]

Answer:

231.5in squared

Step-by-step explanation:

Both faces area formula

Rectangle: l x w

triangle: b x h / 2

3 0
3 years ago
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