In the Kite Club, there are a total of 17 kids. There are 5 more girls than boys. Write two equations and graph to find the number of girls in the club.

Answer:

Area=19

perimeter=21

Answers:

Option two, 5[tex]y^{4}[/tex](2[tex]y^{5}[/tex]) = 10[tex]y^{9}[/tex] and option 4, 5[tex]x^{3}[/tex](6[tex]x^{4}[/tex]) = 30[tex]x^{7}[/tex]

Step-by-step explanation:

O1 + O3 = incorrect, the powers have been multiplied together. Laws of indices suggest that if you are multiplying powers together, you must add them, not do 4 x 5 or 2 x 2.

Please remember:

2y squared x 3y cubed = 6y to the power 5

Answer:

Solution(s) : Option # 2 and # 4

Step-by-step explanation:

One quick way to identify which solutions are accurate would be adding the exponents of the terms provided ( b, y, c etc ). As you can see in each example two expressions are being multiplied, and hence the exponents of each term are being added.

Therefore the second and fourth example are correct, as 4 + 5 = 9, the co - efficient of y. And 3 + 4 = 7, the co - efficient of x.

Check :

[tex]5y^4\left(2y^5\right)[/tex] = [tex]5\cdot \:2y^{4+5}[/tex] = [tex]5\cdot \:2y^9[/tex] = [tex]10y^9[/tex]

[tex]5x^3\left(6x^4\right)[/tex] = [tex]5\cdot \:6x^{3+4}[/tex] = [tex]5\cdot \:6x^7[/tex] = [tex]30x^7[/tex]

Answer:

The time it takes for the ship to travel from Earth to Pluto is 164,337 hours.

Step-by-step explanation:

The question is:

The distance from Earth to Pluto is approximately 5,751,800,000 km. How long does it take for a ship traveling at 35,000 km / h?

Solution:

The formula to compute the time (t) it takes to travel a certain distance (d) at a certain speed (s) is:

[tex]t=\frac{d}{s}[/tex]

It is provided that:

d = 5,751,800,000 km

s = 35,000 km / h

Compute the time it takes for the ship to travel from Earth to Pluto as follows:

[tex]t=\frac{d}{s}[/tex]

  [tex]=\frac{5751800000}{35000}\\\\=164337.14286\\\\\approx 164337[/tex]

Thus, the time it takes for the ship to travel from Earth to Pluto is 164337 hours.

Step-by-step explanation:

This is the answer of this question.

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² + 12x + 11 = 0 ← in standard form

(x + 1)(x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 11 = 0 ⇒ x = - 11

The x- intercepts are x = - 11 and x = - 1

To find the y- intercept let x = 0, that is

f(0) = 0² + 12(0) + 11 = 0 + 0 + 11 = 11

The y- intercept is 11

Answer:

100/x/100

Step-by-step explanation:

Step-by-step explanation:

Answer:

-7/2 and 2

Step-by-step explanation:

First we move the 19 to the left side

2x^2 + 3x + 5 = 19 becomes 2x^2 + 3x - 14 = 0

Now we can factor this into (2x+7)(x-2) = 0

input values are -7/2 and 2

Answer:

ok,just substitute the x for -1

3x-5=6x-2

3(-1)-5=6(-1)-2

-3-5 = -6-2

-8 = -8

TRUE

So,the solution is correct.-1 is the correct solution

I hope this help,Please give me the brainliest

Step-by-step explanation:

Answer:

x> 1/6

Step-by-step explanation:

-2(8x – 4)< 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x +8+16x < 2x+16x+5

8 < 18x+5

Subtract 5 from each side

8-5 < 18x

3 < 18x

Divide each side by 18

3/18 < 18x/18

1/6 < x

Answer:

[tex]x > \frac{1}{6} [/tex]

First answer is correct.

Step-by-step explanation:

[tex] - 2(8 x - 4) < 2x + 5 \\ - 16x + 8 < 2x + 5 \\ - 16x - 2x < - 8 + 5 \\ - 18x < - 3 \\ \frac{ - 18x}{ - 18} < \frac{ - 3}{ - 18} \\ x > \frac{1}{6} [/tex]

Answer:

Angle x measures 64 degrees and Angle y also measures 64 degrees. X is 11. The value of y is also 11.

Step-by-step explanation:

Alright, so this triangle is an isosceles triangle since there are lines on two sides meaning they are congruent to each other. So, if the sides are congruent, then the angles are also congruent. Angle y is congruent to angle x. First, lets find what they measure totally. Since they are congruent, we can write the equation with 2x+angle w which is 52=180 because the sum of all angles in a triangle is 180. Subtract 52 from both sides 2x=132 divide both sides by 2, and you get 64. You found what angle x and y equal. Now you can find what the value of x and y. For finding x, 4x+20=64 and for y, 6y-2=64. Isolate each variable, and you get 11 for both the value of x and y.

Answer:

20x+21y+14

Step-by-step explanation:

Combine like terms:

150x-80y+50-50x-25y+20=

100x-80y+50-25y+20=

100x-105y+50+20=

100x-105y+70

100x-105y+70 can be divided by 5 and get 20x+21y+14.

Answer:a

Step-by-step explanation:

Answer: Look at the picture :)

The pairs of rectangles that are similar polygons are those in;

1 and 4

For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.

In question 1;

Ratio of corresponding left sides = 1225/3.5 = 350

Ratio of corresponding bottom sides = 144/1.2 = 120

Ratios do not correspond and as such they are not similar polygons.

In question 2;

Ratio of corresponding left sides = 13/5.2 = 2.5

Ratio of corresponding bottom sides = 5/2.5 = 2

Ratios do not correspond and as such they are not similar polygons.

In question 3;

Ratio of corresponding left sides = 18/4.5 = 4

Ratio of corresponding bottom sides = 6/1.5 = 2l4

Ratios correspond and as such they are similar polygons.

In question 4;

Ratio of corresponding left sides = 40/8 = 5

Ratio of corresponding bottom sides = 15/3 = 5

Ratios correspond and as such they are similar polygons.

Read more at;https://brainly.com/question/20590854

Answer:

A.

Step-by-step explanation:

When you simplify the equation down by getting rid of (x + 1) (and that creates a hole in the graph), you should end up with A as your answer.

Answer:

56x + 126

Step-by-step explanation:

Step 1: Distribute

44x + 143 + 12x - 18

Step 2: Combine like terms

56x + 126

[tex]\text{Simplify the expression}\\\\11(4x+13)+12x-17\\\\\text{Use the distributive property}\\\\44x+143+12x-17\\\\\text{Combine like terms}\\\\\boxed{56x+126}[/tex]

Answer:

c: 5 x 3/5

Step-by-step explanation:

so the is 15 blocks shaded on the 25 grid

so i would work out each fraction answer and find which one makes 15/25

5 x 5/3 = 25/25

3/5 + 3/5 + 3/5 + 3/5 + 3/5 + 3/5 = 21/5

5 x 3/5 = 15/25

hope this helps :)

if the answer is wrong plz comment and i will fix thanks :)

Answer:

c) 5x3/5

Step-by-step explanation:

Look at one of the bars only. We see that 3 blocks out of 5 are colored in.

So that means the fraction is 3/5. But since there are 5 bars, we must multiply the fraction by 5.

Therefore, the answer is c) 5x3/5

hope this helped:)

P.S. If you like the answer, could you mark as brainliest plz?

Step-by-step explanation:

the answer is 14

3/7 • 2 1/14

=14

Answer:

A=L*W

Let w be width

L=(w+6)

40=(w+6)*w

40= w^{2} +6w

w^{2} +6w-40=0

w^{2}+10w-4w-40=0  

w(w+10)-4(w+10)=0

(w-4)(w+10)=0

w=4

Length= 10 units

Width=4 units

Step-by-step explanation:

Answer:

Approximately 10

Step-by-step explanation:

19 / 5 Approximately 4

4 * 4 = 16

16 * 4 / 64

64 / 6 * = Approximately 10 / 10.6 ish

Actual Answer is 10.133

Answer: $1094.17

Step-by-step explanation:

Amount = Pe^rt

The general form of the equation of the circle will be x² + y² − 8x − 4y + 11 = 0.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

The standard form of the equation of a circle is (x − 4)² + (y−2)² = 9

Then the general form of the equation of the circle will be

x² + 4² − 8x + y² + 2² − 4y = 9

      x² + y² − 8x − 4y + 20 = 9

        x² + y² − 8x − 4y + 11 = 0

Then the correct option is A.

Learn more about the equation of a circle here:

https://brainly.com/question/10165274

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Answer:

x = 17

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

5x-18 + 4x+45 = 180

Combine like terms

9x +27 = 180

Subtract 27 from each side

9x+27-27 =180-27

9x =153

Divide by 9

9x/9 = 153/9

x =17

Answer: x=-1.9

Step-by-step explanation:

[tex]5x+2x=7x[/tex]

[tex]7x+18=5[/tex]

-18 on both sides

[tex]7x=-13[/tex]

divide 7 on both sides

[tex]x=-1.9[/tex]

Answer

solution

[tex]5x + 18 + 2x = 5 \\ or \: 5x + 2x + 18 = 5 \\ or \: 7x + 18 = 5 \\ or7x = 5 - 18 \\ or \: 7x = - 13 \\ \: x = - \frac{13}{7} [/tex]

X=-1.9

hope this helps..

Good luck on your assignment...

Answer:

B.) Perimeter = 126 cm, area = 972 cm²

Step-by-step explanation:

==>Given:

Rectangle with the following dimensions:

L = 8 cm

W = 6 cm

==>Required:

Perimeter and area of the rectangle if enlarged using a scale factor of 4.5.

==>Solution:

The dimensions of the rectangle when enlarged by a scale factor of 4.5 would be:

L = 8 × 4.5 = 36cm

W = 6 × 4.5 = 27cm

=>Area = L × B

= 36 × 27

Area = 972 cm²

=>Perimeter = 2(L + W)

= 2(36 + 27)

= 2(63)

Perimeter = 126 cm

Answer:

Money invested in Canada saving bond is $6000.

Money invested in provincial government bond is $9000.

Step-by-step explanation:

First of all, let us have a look at the formula for simple interest:

[tex]SI = \dfrac{P\times R\times T}{100}[/tex]

Where P is the amount invested

R is the rate of interest and

T is the time

We are given here, 2 bonds in which a total of $15000 were invested

Let money invested in Canada saving bond  [tex]P_1[/tex], = $x

Rate of interest, [tex]R_1=4\%[/tex]

Time, [tex]T_1 = 1\ year[/tex]

[tex]SI_1 = \dfrac{P_1\times R_1\times T_1}{100}\\\Rightarrow \dfrac{x\times 4\times 1}{100} ..... (1)[/tex]

Let money invested in provincial government bond [tex]P_2[/tex], = $(15000-x)

Rate of interest, [tex]R_2=5\%[/tex]

Time, [tex]T_2 = 1\ year[/tex]

[tex]SI_2 = \dfrac{P_2\times R_2\times T_2}{100}\\\Rightarrow \dfrac{(15000-x)\times 5\times 1}{100} ..... (2)[/tex]

We are given that

[tex]SI_1+SI_2=$690\\\text{Using equations (1) and (2):}\\\\\Rightarrow \dfrac{4x}{100} + \dfrac{(15000-x)\times 5}{100} = 690\\\Rightarrow 4x + (75000-5x) = 69000\\\Rightarrow x = \$6000[/tex]

Money invested in Canada saving bond = $6000

Money invested in provincial government bond = $15000-$6000 = $9000

Answer:

f(x)= 20,000[tex](0.85)^{x}[/tex]or 20,000 (0.85) to the power of x.

Step-by-step explanation:

 Okay, so based on the question, we know that the car is depreciates its value every year. In case you don't know, when something depreciates, it is becoming smaller or less in value. It comes to a point where the item becomes worthless. Recall, that the formula for an exponential function is y= a(b) to the power of x. A is your initial value or your y-intercept. B is the multiplicative rate of change. Lets put 20,000 for a because that is value of the car that terrace purchased before any depreciation happened. Since it says that it is decaying every year, we don't want to graph how much it is decaying, we want to graph what the value is of the car. So, do 100 percent minus 15 which is 85 percent. You need to change it into decimal, so it is 0.85. Therefore, there is your function.

Hope this helps!

Answer:

the distance y between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner is 1.3cm

Step-by-step explanation:

From the information given;

A blue square is placed inside a large yellow square and the centres of the squares are aligned one over the other

So ; if one side of the  square is (3x + 2)cm  (i.e the blue side)

the  other side is (8 - x)cm  (i.e the yellow sides)

since the two shapes given are squares ; we can say that:

(3x+2)= (8 - x)

3x +x = 8 -2

4x = 6

x = 6/4

x = 1.5

Let replace x = 1.5 for the sides of the square and find the actual length of the square sides.

So, for the yellow side; we have:

= (8 - x)cm

= (8 - 1.5 ) cm

= 6.5 cm

We all know that the area of the square = l²

then the area of the yellow side = (6.5 cm )²

the area of the yellow side = 42.25 cm²

Let y be the distance between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner

Since the blue region is inside the yellow region; to calculate for the side of the blue region ; we have:

(6.5y -y+y) cm

(6.5 - 2y )cm

The area of the blue side =( (6.5 - 2y )cm)²

The area of the blue side =  (6.5 - 2y )² cm²

However; we are also given that :

the area of the blue square is 36% the area of the yellow square.

Thus;

(6.5 - 2y )² = 36/100 × 42.25

(6.5 - 2y )² =  0.36  × 42.25

(6.5 - 2y )² =  15.21

(6.5 - 2y ) = [tex]\sqrt{15.21}[/tex]

(6.5 - 2y ) = 3.9

6.5 - 2y = 3.9

6.5 - 3.9 = 2y

2.6 = 2y

y = 2.6/2

y = 1.3 cm

Therefore , the distance y between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner is 1.3cm

Answer:

  {x ∈ ℝ | -6 ≤ x ≤ 3}

Step-by-step explanation:

For a real number x, numbers that are at least -6 are ...

  x ≥ -6

and numbers that are at most 3 are ...

  x ≤ 3

This can be written as a compound inequality with x in the middle as ...

  -6 ≤ x ≤ 3 . . . . x is a real number

Answer:

6 6(4a ⋅ 2) = 6 ⋅ 4a

Step-by-step explanation:

I think it is but i am not sure

Answer:

D

Step-by-step explanation:

6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

Answer:  D) reflection over the x-axis, vertical shrink by a factor of 7/8, horizontal shift 3 units to the left, and vertical shift 3 units up.

Step-by-step explanation:

[tex]Consider\ f(x)=Ae^{Bx-C}+D\qquad where[/tex]

[tex]f(x)=e^x\\\\g(x)=-\dfrac{7}{8}e^{x+3}+3[/tex]

→ A = -(7/8)

   The negative sign represents a reflection across the x-axis.

   (7/8) < 1 so it is a vertical shrink by a factor of (7/8)

→ C = -3       x +3 = x - (-3)

   This is a horizontal shift 3 units to the left.

→ D = +3

   This is a vertical shift 3 units up.

Answer:

[tex]g_{n}=g_{n-1} *-3[/tex]

Step-by-step explanation:

A recursive formula is [tex]g_{n}=g_{n-1} *r[/tex].  N is the number of terms and r is the rate of change.  R here equals -3 because you are multiplying by -3 eachtime.  Therefore, the recursive formula is [tex]g_{n}=g_{n-1} *-3[/tex]