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LekaFEV [45]
3 years ago
11

At Polynomials Pizza, a large cheese pizza costs $6.50. Each additional topping for the pizza costs $1.45. The total for a large

pizza that Brandon ordered was $13.75. PART A Define the variable t = PART B Write the equation. PART C How many toppings did Brandon have on his pizza? Enter answer
Mathematics
2 answers:
kompoz [17]3 years ago
7 0
A) t=amount of toppings brandon ordered
B) 6.50+1.45t=13.75
C) brandon had five toppings
13.75-6.50= 7.25
7.25/1.45= 5
dangina [55]3 years ago
4 0

Answer:x

=

5

toppings

Step-by-step explanation:Total cost of cheese pizza:  

$

10.75

Any additional topping adds:  

+

$

1.25

So a cheese pizza with  

1

additional topping is:

$

10.75

+

$

1.25

=

$

12.00

A cheese pizza with  

2

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

=

$

10.75

+

2

×

$

1.25

=

$

13.25

A cheese pizza with  

3

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

+

$

1.25

$

10.75

+

3

×

$

1.25

=

$

14.50

If you pay attention to the pattern you can see that, for any number of toppings, say  

x

toppings, the price is going to be:

$

10.25

+

x

×

$

1.25

We are told the final cost is  

$

17.00

. That is

$

10.25

+

x

×

$

1.25

=

$

17.00

Subtract  

$

10.25

from both sides

$

10.25

−

$

10.25

+

x

×

$

1.25

=

$

17.00

−

$

10.25

x

×

$

1.25

=

$

6.25

Divide both sides by  

$

1.25

x

×

$

1.25

$

1.25

=

$

6.25

$

1.25

x

=

5

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Antonius the chef wants to cook several batches of lasagna and spaghetti for his restaurant. He plans to use at least 4.54.5 kil
yaroslaw [1]

Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.

Step-by-step explanation:

Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.

And,  the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.

Which is shown by the below inequality,

0.3S+0.65L \geq 4.5 ----------(1)

And,  0.25S+0.8L >6.3 --------(2)

By putting S = 10 and L = 4 in the  inequality (1),

0.3\times 10+0.65\times 4 \geq 4.5

⇒ 5.6\geq 4.5(true)

Thus, for the values  S = 10 and L = 4 the inequality (1) is followed.

Again By putting S = 10 and L = 4 in the  inequality (2),

0.25\times 10+0.8\times 4 >6.3

⇒ 5.7>6.3( false)

But, for the values  S = 10 and L = 4 the inequality (2) is not  followed.

Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.



4 0
3 years ago
Read 2 more answers
Which numbers are perfect squares? Check all that apply.
Andrew [12]

A perfect square is a number made by squaring a whole number.

Since

  • 1^2=1;
  • 4^2=16;
  • 10^2=100,

numbers 1, 16, 100 are perfect squares. You cannot find such whole number n, that

  • 2=n^2;
  • 18=n^2;
  • 32=n^2;
  • 44=n^2;
  • 94=n^2,

therefore, numbers 2, 18, 32, 44, 94 are not perfect squares.

Answer: 1, 16, 100.

4 0
3 years ago
Read 2 more answers
Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrationa
maw [93]

Answer:

  • Rational: 5.39
  • Irrational: √29 ≈ 5.39

Step-by-step explanation:

Any number you can write completely that has a value between the given numbers will be a suitable rational number.

There are many ways to find irrational numbers in the given range. You can make one up, such as ...

... 5.3102003000400005000006...

a non-terminating, non-repeating decimal. (This one has a pattern that makes it easy to extend, but that doesn't make it rational.)

Or, you can use roots, logs, trig functions, exponential functions, or any of the other functions we study that have irrational values. You can add, subtract, or combine them in other ways. (tan(70°)+∛20, for example) For this, I chose √29, because that square root is between the given numbers and 29 is not a perfect square.

5 0
3 years ago
9.a )Explain why plane JKL is not an appropriate
VLD [36.1K]

Answer:

I will attach the missing drawing with the answer.

9.b)

Plane JKM

Plane JLM

Plane KLM

Step-by-step explanation:

The drawing for this question is missing. I will attach it with the answer.

9.a) Plane JKL is not an appropriate name for the plane because all of three points lie in the same line.

Through a line pass infinite planes. The plane JKL doesn't define a unique plane. That's why plane JKL isn't an appropriate name for the plane.

9.b) We can name the plane using three points that don't lie in the same line.

Three possible names for the plane are :

Plane JKM

Plane JLM

Plane KLM

6 0
3 years ago
A factory produces 60005/12
ycow [4]

Answer:

About\ 193 \frac{209}{372} \ tons\ of \ steel

Step-by-step explanation:

Given the amount of tons of steel produced monthly by a factory to be 6000 5/12 tons, to determine their daily production, we need to use the conversion;

Maximum of 31 days = 1 month

This means that the steel company produces 6000 5/12 tons of steel in 31 days.

6000 5/12 tons = 31 dsays

72,005/12 tons = 31 days

in a day, the company will therefore produce approx. (72,005/12)/31 tons of steel.

(72,005/12)/31  = 72,005/12 * 1/31

= 72,005/12*31

= 72,005/372

= 193  209/372 tons of steel.

Hence, the factory produces about 193 \frac{209}{372} tons of steel daily

6 0
3 years ago
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