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Lerok [7]
3 years ago
8

PLEASE ANSWER ASAP (10 POINTS)

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0

Answer:

(x+5)(x+7)

Step-by-step explanation:

Let's factor x2+12x+35

x2+12x+35

The middle number is 12 and the last number is 35.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 12

Multiply together to get 35

Can you think of the two numbers?

Try 5 and 7:

5+7 = 12

5*7 = 35

Fill in the blanks in

(x+_)(x+_)

with 5 and 7 to get...

(x+5)(x+7)

Answer:

(x+5)(x+7)

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At the soup to nuts cafeteria, larry orders two pieces of toast and a bagel, which comes out to $\$1.30$. Curly orders a bagel a
kotegsom [21]

Let us take costs of a piece of toast = $t, , one bagel cost=$b and a muffin cost=$m.

Larry

Two pieces of toast and a bagel cost  = $1.30

2t+b=1.30   -------------equation(1)

Let us solve the equation(1) for t in terms of b, because we need to find one bagel cost.

Subtracting b from both sides we get

2t+b-b=1.30-b

2t= 1.30-b

Dividing by 2 on both sides.

2t/2= (1.30-b)/2

t= (1.30-b)/2

Curly

A bagel and a muffin cost = $2.50.

b + m = 2.50 -------------equation(2)

Solving equation for m in terms of b, we get

m= 2.50-b.

Moe

A piece of toast, two bagels, and three muffins cost = $6.95

t + 2b + 3m = 6.95    ......................equation(3).

Substituting t= (1.30-b)/2 and m= 2.50-b in equation (3)

(1.30-b)/2 + 2b + 3(2.50-b) = 6.95 .

Multiplying each term by 2 to get rid 2 from denominator of (1.30-b).

2*(1.30-b)/2 + 2*2b + 2*3(2.50-b) = 2*6.95

1.30-b + 4b + 6(2.50-b) = 13.90.

1.30 - b + 4b  +15 - 6b = 13.90

Combining like terms

-3b +16.30 = 13.90

Subtracting 16.30 from both sides.

-3b +16.30-16.30 = 13.90-16.30.

-3b= -2.4

Dividing both sides by -3.

-3b/-3 = -2.4/-3

b = 0.8

Therefore, cost of one bagel = $0.80.

7 0
3 years ago
Help me. what is three and one half times one and two thirds
Natali [406]

Answer:

3 1/2 × 1 2/3 = 5 5/6.

5 0
2 years ago
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3 years ago
13.3 × 17.9 <br><br> What is the work?
egoroff_w [7]
238.07777777777777777
8 0
3 years ago
A restaurant offers a special pizza with any 5 toppings. if the restaurant has 16 topping from which to choose, how many differe
Mariana [72]

By permutation without repetition, there are 524160 possible different special pizzas.

The possible special pizzas can be calculated with permutation without repetition. The formula of permutation without repetition can be written as

P = n! / (n - k)!

where P is all of the possible combinations, n is the number of objects or elements, and k is how many numbers should be chosen.

From the question above, we know that :

n = 16

k = 5

By substituting the parameters, we can determine all of the possible different pizzas

P = n! / (n - k)!

P = 16! / (16 - 5)!

P = 16! / 11!

P = 16 x 15 x 14 x 13 x 12 x 11! / 11!

P = 524160

Hence, there are 524160 possible different special pizzas

Find out more on permutation without repetition at: brainly.com/question/1216161

#SPJ4

5 0
1 year ago
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