Which expression is equivalent to x with the power of 2 +2x+2?

Answer:

x = price of adult tickets = $7

y = price of students tickets = $6

Step-by-step explanation:

Let

x = price of adult tickets

y = price of students tickets

7x + 7y = 91 (1)

14x + 12y = 170 (2)

Multiply (1) by 2 to

14x + 14y = 182 (3)

14x + 12y = 170 (2)

Subtract (2) from (3) to eliminate x

14y - 12y = 182 - 170

2y = 12

y = 12/2

y = 6

Substitute y = 6 into (1)

7x + 7y = 91 (1)

7x + 7(6) = 91

7x + 42 = 91

7x = 91 - 42

7x = 49

x = 49/7

x = 7

x = price of adult tickets = $7

y = price of students tickets = $6

Answer:

150

Step-by-step explanation:

15 fail

90 percent pass

15=10 percent

135=90 percent

150

Step-by-step explanation:

90%passed

100%-90%=10% failed

10%=15 students

100%=x students

10x=1500

x=1500/10

x=150 number of students appeared in the exam.

Step-by-step explanation:

The given expression is :

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}=\sqrt5 x+y[/tex] ....(1)

Taking LHS of the above expression

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}[/tex]

Rationalizing both denominator and numerator.

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}\times \dfrac{2-3\sqrt5}{2-3\sqrt5}=\dfrac{4-6\sqrt5-2\sqrt5+15}{2^2-(3\sqrt5)^2}\\\\=\dfrac{19-8\sqrt5}{4-45}\\\\=\dfrac{19-8\sqrt5}{-41}\\\\=\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})[/tex]

Equation (1) becomes,

[tex]\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})=\sqrt 5\ x+y[/tex]

Equating both sides,

[tex]x=\dfrac{8}{41}[/tex] and [tex]y=\dfrac{-19}{41}[/tex]

Hence, this is the required solution.

Answer:

$13.31

Step-by-step explanation:

blehn  b;eoj

Answer:

$13.31

Step-by-step explanation:

First, take the original price and apply the discount of 20% by converting the percentage into a decimal (0.2)

16 x 0.2

= 3.2

Next, take away that amount from the original price

16 - 3.2

= 12.8

Now calculate the tax with the new price by converting the percentage into a decimal (0.04)

12.8 x 0.04

= 0.512

Finally, add the tax to the new amount

12.8 + 0.512

= 13.312

Round if necessary.

Answer:

Step-by-step explanation:

On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and

sugar Which system of linear inequalities can Hayley use to model this situation where b represents the

number of loaves of banana bread and represents the number of loaves of zucchini bread?

Answer:

D) Angle VUX

Step-by-step explanation:

Answer:

m<PRQ=15°

Step-by-step explanation:

so we're given that PQ and RQ are sides of a regular 12-sided polygon (dodecagon)

a regular polygon is a polygon that has all angles be the same measure AND have all sides be the same length

because of that, PQ=RQ, and ΔPQR is isoceles

now we need to find what the question is asking for: m<PRQ

because of base-angles theorem, m<PRQ=m<RPQ

we need to find m<PQR

a dodecagon is 1800° in measure

and we need 1/12th of that measure, since <PQR is 1 out of the 12 interior angles on the dodecagon (a dodecagon has 12 vertecies, so 12 angles). Also because the polygon is regular, every interior angle has the same measure.

so find the measure of <PQR

<PQR= 1/12*1800=150°

now to find the measure of <PRQ:

there are 180° in a triangle

so subtract 150° from 180°

180°-150°=30°

30° is the sum of the base angles (<PRQ is one of the base angles in a triangle)

the base angles are the same measure, so that means the measure of <PRQ is 1/2 the measure of the sum of the base angles

therefore m<PRQ=15°

hope this helps!

Step-by-step explanation:

(x= -1)(x=6)

[tex] {x}^{1} = - 1. {x}^{2} = 6[/tex]

brainiest pls

Answer:

I can't see clearly pls clear it out

Answer:

tha loojs hard

Step-by-step explanation:

Answer:

y= -2x+8

good luck on your assignment

here's the answer :

=》

In similar figures, the ratio of the lengths of their corresponding sides are equal and corresponding angles are congruent.

hence, A. equal and congruent is correct.

Answer:

equal and congruent

Step-by-step explanation:

equal and congruent

Answer:

[tex]\left[\begin{array}{ccc}11&15&-17\\-1&-4&-4\\17&15&-22\end{array}\right][/tex]

Option D will be your answer

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

y = 9x - 49

Step-by-step explanation:

y2 - y1/ x2 - x1

14 - 5/ 7 - 6

9/1

= 9

y = 9x + b

5 = 9(6) + b

5 = 54 + b

-49 = b

Answer:

this question is a bit confusing.

Step-by-step explanation:

here's what I think is the answer

9x-6=6x+9

3x=15

x=5

Answer:

x + 7 ft and  x + 15 ft as the dimensions of the outside border of the walkway.

Step-by-step explanation:

[tex]x^{2} +12x + 20 = (x + 2)(x + 10)[/tex]

The dimensions of the fountain is x + 2 and x + 10

Adding the 5-ft walkway, we get x + 7 ft and  x + 15 ft as the dimensions of the outside border of the walkway.

Answer:

(3)

(4)

Step-by-step explanation:

but I could be wrong

Answer:

The first term in the sequence is odd-valued and so there are m choices for it.2020 Gauss Contest Solutions Page 19

The second term in the sequence is even-valued and so there are m − 1 choices for it.

Thus, there are a total of m × (m − 1) FT sequences that begin with an odd-valued term

followed by an even-valued term.

Finally, we consider the FT sequences that begin with an even-valued term followed by an

odd-valued term (Parity #4).

Again, there are exactly twice as many odd-valued terms as there are even-valued terms in the

first 2019 terms (since the pattern repeats even, odd, odd).

However in this case, the 2020th term is even and so there are fewer than twice as many odd valued terms as there are even-valued terms.

Thus, there are m2 + m × (m − 1) FT sequences that satisfy the required conditions.

Since there are 2415 such FT sequences, we may solve m2 + m × (m − 1) = 2415 by trial and

error.

Evaluating m2 + m × (m − 1) when m = 30, we get 302 + 30 × 29 = 1770, and so m is greater

than 30.

When m = 33, we get 332 + 33 × 32 = 2145.

When m = 34, we get 342 + 34 × 33 = 2278.

When m = 35, we get 352 + 35 × 34 = 2415, as required.

Answer: (D)

Step-by-step explanation:

Answer:

370+150+150+100+30=800

Step-by-step explanation:

Answer:

-5+6a+(-8)+(-3a)=

-13+3a

hope this helps

have a good day :)

Step-by-step explanation:

Answer:3a and -13

Step-by-step explanation:

hope it helps

Answer:

Mean of temperatures = 82.3 (Approx.)

Step-by-step explanation:

Given:

Number of days = 7 days

Temperatures in 7 days = 81, 78, 83, 89, 80, 87, 78

Find;

Mean of temperatures

Computation:

Mean = Sum of all observation / Number of observation

Mean of temperatures = Sum of all seven days temperature / Number of days

Mean of temperatures = [81 + 78 + 83 + 89 + 80 + 87 + 78] / 7

Mean of temperatures = 576 / 7

Mean of temperatures = 82.2857

Mean of temperatures = 82.3 (Approx.)

Answer:

49°

Step-by-step explanation:

106 + 135 + 70 + x = 360

311 + x = 360

x = 49°

Answer:

[tex]\displaystyle \angle A=30^\circ[/tex]

Step-by-step explanation:

We are given that in Circle O, Arc BAC measures 300°.

Recall that arc lengths will always total 360°. Therefore:

[tex]\stackrel{\frown}{BAC}+\stackrel{\frown}{CB}=360^\circ[/tex]

By substitution:

[tex]300+\stackrel{\frown}{CB}=360[/tex]

Thus:

[tex]\stackrel{\frown}{CB}=60^\circ[/tex]

∠A intercepts Arc CB. Since it is an inscribed angle, it will be half of its intercepted arc. In other words:

[tex]\angle A=\displaystyle \frac{1}{2}\stackrel{\frown}{CB}[/tex]

Therefore:

[tex]\displaystyle \angle A=\frac{1}{2}(60)=30^\circ[/tex]

Answer:

9.71 miles

Step-by-step explanation:

total miles he ran = 6.19 + 3.1 = 9.29

Target = 19 miles

Goal for sunday = 19 - 9.29 = 9.71

Answer:

c. 2000 meters per hour

Answer:

The answer is 1000.

*Explanation*

Attendance at the football stadium is 100%

100% - 10% = 90%

10% = 100 attendance

900% = 900 attendance

900 + 100 = 1000 attendance

Answer:

The answer is B

Step-by-step explanation: yo mum u dont need one

Answer:

Your answer is b

Step-by-step explanation:

Step-by-step explanation: None

Answer:

the answer is B.FALSE

Step-by-step explanation:

hope it helps

Answer:

The school was open for 240 days

Step-by-step explanation:

216 / x = 90%/100%

216*100= 21,600

21,600/90 = 240

Answer: [tex]77\ \text{sq. units}[/tex]

Step-by-step explanation:

Given

The radius of the semi-circle is [tex]r=7[/tex]

We know, area of the circle is [tex]\pi r^2[/tex]

So, the area of the semi-circle is half of it i.e. [tex]\frac{1}{2}\pi r^2[/tex]

Put the value

[tex]\Rightarrow \dfrac{1}{2}\times\pi \times 7^2=76.97\\\Rightarrow \approx 77\ \text{sq. units}[/tex]

The area of the semi-circle is [tex]77\ \text{sq. units}[/tex]