100 families booked a holiday in July or in August, at travel agents.
Some of the families booked to go to France.
Some booked to go to Spain.
The rest of the families booked a holiday to Portugal.
59 families booked to go on holiday in August. 19 of the 35 families going to France booked to go in July.
30 families booked to go to Portugal.
20 families booked to go to Spain in August. How many families booked to go to Portugal in July?​

Answer:

It is a perfect square. Explanation below.

Explanation:

Perfect squares are of the form

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

. In polynomials of x, the a-term is always x.(

(

x

+

c

)

2

=

x

2

+

2

c

x

+

c

2

)

x

2

+

8

x

+

16

is the given trinomial. Notice that the first term and the constant are both perfect squares:

x

2

is the square of x and 16 is the square of 4.

So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,

8

x

is of the form

2

c

x

.

The middle term is twice the constant times x, so it is

2

×

4

×

x

=

8

x

.

Okay, we found out that the trinomial is of the form

(

x

+

c

)

2

, where

x

=

x

and

c

=

4

.

Let us rewrite it as

x

2

+

8

x

+

16

=

(

x

+

4

)

2

. Now we can say it is a perfect square, as it is the square of

(

x

+

4

)

.

Answer:

B One term of the polynomial has a degree of 3

Answer:

5,000 + 300 + 20 + 5 = 5,325

Step-by-step explanation:

A - variables

B - multiplied

C - reciprocal?

D - 0

//

I'm not too sure about C. it can either be the reciprocal or the opposite.

Answer:

B. 6in

Step-by-step explanation:

We can use the Pythagorean theorem [ a² + b² = c² ] to find the missing side.

8² + b² = 10²

64 + b² = 100

b² = 36

b = 6

Best of Luck!

Step-by-step explanation:

Answer:

Step-by-step explanation:

8/8     5/5

Answer:

12 feets below sea level

Step-by-step explanation:

Initial height = 25 feets above sea levwl

Total descent = 37 feets

Distance traveled below sea level = 37 feets - 25 feets = 12 feets

Hence, Sarah traveled 12 feets below sea level

Answer:

2.74747741945462

Step-by-step explanation:

i know its long but i think it is correct!:)

Answer:

2 !!

Step-by-step explanation:

use RISE/RUN !! you would go up from the 1 point, on the y axis !! from there, ud go up 2, then to the right 1, so ur slope is 2/1 .... which is 2 !!

i hope this helped !

you add 1 and subtracted 2

so 2 + 1 = 3

3 - 2 = 1

answer: b. (3, 1)

Answer:

option 1 i think

Step-by-step explanation:

imma just take these 5 points back

Answer:

the correct option is B. 2

Step-by-step explanation:

As given,

x + [tex]\frac{b}{na}[/tex] = ± √b²-4ac

⇒x = -[tex]\frac{b}{na}[/tex] ± √b²-4ac

As e know that the quadratic formula is

x = [tex]\frac{-b + or - \sqrt{b^{2} - 4ac } }{2a}[/tex]

So , by comparing with the formula

we get

n = 2

So, the correct option is B. 2

Answer:

Cash loan = $160

Big screen TV = $680

College loan = $$21775

Step-by-step explanation:

Cash loan :

Loan amount or principal = $100

Interest rate, r = 20.0%

Time, t = 3 years

Using the relation :

Simple interest = Principal * rate * time

$100 * 0.2 * 3 = $60

Final amount = loan amount + interest on loan

Final amount = $100 + $60 = $160

Big Screen TV:

Principal = $500

Rate, r = 9.0%

Time, t = 4 years

Interest amount = (500 * 0.09 * 4)

Interest amount = $180

Final amount = principal amount + interest on loan

Final amount = $500 + $180 = $680

College loan

Principal, = $13,000

Rate, r = 4.5%

Time, t = 15 years

Interest amount = (13000 * 0.045 * 15)

Interest amount = $8775

Final amount = principal amount + interest on loan

Final amount = $13000 + $8775 = $21775

Answer:

40% ⋅ x = 35

x = 87.5

Step-by-step explanation:

To write an equation representing this situation, use the key words. 40% stays 40%. "Of" is the same as multiplication. "X" remains "x". "Is" is the same as equal to. 35 remains 35. So, the new equation you get is: 40% ⋅ x = 35.

To solve for "x", first turn the 40% into a decimal: 0.4. Now divide 0.4 from both sides to get: x = 87.5.

Note:

The dot "⋅", stands for the multiplication sign. I'm not using the "x" symbol for it because there is a variable x in the equation already.

Hope it helps!

Answer:

Step-by-step explanation:

You can't find an exact value, but you can find an simpler expression by using the distributive property.

a + 4bc + 2ab

And that is as much as it can be reduced.

Answer:

you can't sorry

Step-by-step explanation:

ycucycycufycycycyc

Answer:

no I can't see

Step-by-step explanation:

please mark me as brainlist

Answer:

lol thats funny

Step-by-step explanation:

hahahahahahahahahahahahahahahahahahahahahahahaha!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! That is funny;)

Answer:

32%

Step-by-step explanation:

To find the percentage, we have to multiply 25 and 8 by 4.

25x4 = 100

8x4 = 32

So, 8 out of 25 is 32%.

Answer:

3*4

=12 sq. cm

= 12 cm²

Answer:

48cm^{2}

Step-by-step explanation:

[tex]A=4ah=4*4*3=48 cm^{2}[/tex]

Answer:

137

Step-by-step explanation:

137 because when it's .5 or higher you round up

Answer:

2

Step-by-step explanation:

2 has the factors 2 and 1 while the others have:

4- 4, 2,1

6- 6, 3, 2, 1

8- 8, 4, 2, 1

Answer:

12

Step-by-step explanation:

15/5=3

3x4=12

Answer:

48.72 km in 3 days.

Step-by-step explanation:

Given that,

A one-way trip is 8.12 kilometers.

We need to find the distance he travel in 3 days.

The distance traveled by Jim in one day to the bus and from school = 2(8.12) =  16.24 km

Distance traveled in 3 days = 3(16.24)

= 48.72 km

Hence, he will cover 48.72 km in 3 days.

Answer:

25.12 inches

Step-by-step explanation:

Answer:

A) x is greater than or equal to 4.50

Step-by-step explanation:

the price has to be at least 4.50 so it could be 4.50 or it could be greater than 4.50. Hope this helped.

Answer:

The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.

Step-by-step explanation:

Cosine is a trigonometric function and trigonometric functions are characterized by having a periodical behavior. The period is the time needed for the function to cover an angle of [tex]2\pi[/tex] radians. By this approach we find that:

[tex]\frac{8\pi\cdot t}{3} = \frac{2\pi\cdot t}{T}[/tex] (1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]T[/tex] - Period, measured in seconds.

Then, we solve (1) for [tex]T[/tex]:

[tex]\frac{8}{3} = \frac{2\pi}{T}[/tex]

[tex]T = \frac{6\pi}{8}\,s[/tex]

[tex]T = \frac{3\pi}{4}\,s[/tex]

The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.

Answer:

x²+3x+3

Step-by-step explanation:

hope it helps you

please mark me as brainlist

Answer:

the measure of angle B is 50

Step-by-step explanation:

the measure on the other side of the 120 is 60

hope this helps!!