Solve the proportion.

5/6 = 10/x÷1

x = ?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost per ticket = $3.25

Number of ride tickets purchased (x) = 8

Total amount spent at the fair (y) = $39.50

Henry's spending was only on ticket rides and fair admission

a) Find the cost of admission to the fair. Explain how you found the cost of admission.

Total spending = amount spent on ticket rides + cost of admission to fair

$39.50 = 8(3.25) + cost of admission

39.50 = 26 + cost of admission

Cost of admission = (39.50 - 26) = $13.50

(b) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.

Since cost of admission is the same for everyone :

Total cost = 3.25x + 13.50

y = 3.25x + 13.50

(c) Explain what the coefficient on x and the constant of your linear equation represent.

3.25 = cost per ride ticket

13.50 = cost of admission to fair

Answer:

x intercept (64,0)

y intercept (0,-48)

Step-by-step explanation:

Answer:

k = 9

Step-by-step explanation:

For this, we can factor the top expression to look like the bottom expression.

So, first we have to find the gcf of 18 and [tex]x^{2}[/tex] and add up to 11x.

18[tex]x^{2}[/tex]            11x

1 and 18       19   - No

2 and 9       11    - Yes

3 and 6       9    - No

So, the numbers are 2 and 9. The expression should now look like this:

[tex]x^{2}[/tex] + 2x + 9x + 18

Now, undistribute the terms.

x(x + 2) + 9(x + 2)

(x+2)(x+9)

This matches up with the bottom expression.

The value of k is 9.

Answer:

10

Step-by-step explanation:

5y + 2y -4y = 30

To solve first combine like terms

5y+2y-4y=3y

Then isolate your variable, do this by dividing both sides by 3.

3y=30

3y/3=30/3

Finally, simplify

y=10

Answer:

x = 2

Step-by-step explanation:

First distribute:

-3 (x+4) = 6(-x-1)

-3x -12 = -6x -6

Isolate the variable:

-6 = -3x

Simplify:

-6/3 = x

x = 2

Hope this helps!

No , 23 x 10⁶ is not written in scientific notation.

Values that are either too huge or too little to be conveniently expressed in decimal form can be expressed using scientific notation (typically would result in a long string of digits).

So 23 x 10⁶ written in exact scientific notation is given by 2.3 × 10⁷ .

Therefore   2.3 × 10⁷ is written in scientific notation whereas  23 x 10⁶  is not in scientific notation.

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Answer:

function is a parabola, with a lowest point of -4

Step-by-step explanation:

g(x)=x^-4

g(-3)= -3^2-4 = 9-4 = 5

g(-2)= -2^2-4 = 4-4 = 0

g(-1)= -1^2-4 = 1-4 = -3

g(0)= 0^2-4 = 0-4 = -4

g(1)= 1^2-4 = 1-4 = -3

g(2)= 2^2-4 = 4-4 = 0

g(3)= 3^2-4 = 9-4 = 5

Answer:I got 3956 seconds, hope it helps.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

(x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

x² + 5x

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 5x

= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] - [tex]\frac{25}{4}[/tex]

= (x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]

Answer:

Step-by-step explanation:

Substitute the given value into the function and evaluate.

5 ⋅ 10 ^2 = 500

5 ⋅ 10^ − 2 = 0.05

Hope This Helps!

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Answer:

the slope should be 4/2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

4

1

= 4

θ =  

arctan( ΔY )

ΔX

= 75.963756532074°

ΔX = 4 – 2 = 2

ΔY = 16 – 8 = 8

Distance (d) = √ΔX2 + ΔY2 = √68 = 8.2462112512353

Equation of the line:

y = 4x

When x=0, y = 0

When y=0, x = 0

Answer:

36

Step-by-step explanation:

you would multiply and then divided

0.92

The table below shows it's time to make a prototype cars to travel to different distances what is a constant rate of change in the situation in miles per hour

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

[tex](x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

[tex]y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5[/tex]

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

Answer:

(-1,0)

Step-by-step explanation:

Midpoint formula: (coordinate 1 + coordinate 2)/2

(-4+2)/2 = -1

(-2+2)/2 = 0 0 divided by anything =0

Answer:

The y-intercept represents the temperature at the start, before any time has passed.

In the scenario, y intercept represents the temperature which starts from 8 °F.

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

In the given graph,

x-axis shows time in hours,

And y-axis shows temperature in Fahrenheit.

Since, the y-intercepts shows the value where x=0, or the values of y-axis.

In the given graph,

The y-axis shows the temperature.

Therefore, y intercept represents the temperature which starts from 8 °F.

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Answer:

A) √7 + 4

B)2√15

D)√23+√8

Step-by-step explanation:

The options are:

A) √7 + 4

B)2√15

C)8-√5

D)√23+√8

E)√80-3

Analysing A.

√7+4 = 2.64575131106459 + 4

√7 + 4 = 6.64575131106459

Analysing B

2√15 = 2 * 3.87298334620741

2√15 = 7.74596669241483

Analysing C

8-√5 = 8 - 2.23606797749978

8 - √5 = 5.76393202250021

Analysing D

√23+√8 = 4.79583152331271 + 2.82842712474619

√23+√8 = 7.62425864805890

Analysing E

√80-3 = 8.94427190999915 - 3

√80-3 = 5.94427190999915

After the above analysis;

Options A, B and D answer the question

Answer: 7+4

5/15

/80-5

Step-by-step explanation:

Answer:

Exact Form:

23/20

Decimal Form:

1.15

Mixed Number Form:

1 3/20

Answer:

B

Step-by-step explanation:

it's right

Answer:

B. 90

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

2a is an exterior angle, thus

2a = a + 10 + 44 = a + 54 ( subtract a from both sides )

a = 54

Thus 2a = 2 × 54 = 108° ← exterior angle

Answer: 12.63 rounded to 13 and 3.28 rounded to 3 the perimeter is 32

Step-by-step explanation: If you need any more help Im

usually available between 9a.m - 3:50 pm

Answer

Part A: C

Part B: B

Part C: 15.91

Step-by-step explanation:

first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.

Answer:

Its c

Step-by-step explanation:

Because the f(x)= 0  is on the x line

and -2, 1, or 3 only

This is equivalent to 2*sqrt(34)

=======================================================

Explanation:

First let's find BD

The three triangles are similar, allowing for the proportion to be set up

AD/BD = BD/DC

9/x = x/8

9*8 = x*x

x^2 = 72

x = sqrt(72)

BD = sqrt(72)

Now we can use the pythagorean theorem. Focus on triangle BDC.

The legs are BD = sqrt(72) and DC = 8. Let's find the hypotenuse

(BD)^2 + (DC)^2 = (BC)^2

(sqrt(72))^2 + (8)^2 = m^2

72 + 64 = m^2

136 = m^2

m^2 = 136

m = sqrt(136)

We can simplify this but your teacher has chosen not to. If you want to simplify, then,

m = sqrt(136)

m = sqrt(4*34)

m = sqrt(4)*sqrt(34)

m = 2*sqrt(34)

Answer:

I am pretty sure it's -3/1, correct me if I am wrong!

Step-by-step explanation:

Answer:

-3/1

Step-by-step explanation

You see where the line meets the corners of the squares on the graph. The equation for slope is m=rise over run. You rise three squares, and go to the right one.

A perpendicular bisector is a line that crosses (bisects) another line segment at 90 degrees, dividing the line segment it crosses into two equal length lines

The additional information Kiran need to know to show that AB is a perpendicular bisector is the fourth option;

DB and BC are congruent

The reason for the above selection is as follows:

The information about the isosceles triangle DAC Kiran knows are;

Triangle DAC = An isosceles triangle

Segment AD is congruent to segment AC

Segment AB is a  is a line from the vertex point A to the side CD of triangle DAC

The required parameter:

The information Kiran has know so as to show that AB is a perpendicular bisector of CD

Method:

Determine an attribute present in triangle DAC with line AB drawn that is due to line AB being a perpendicular bisector

Solution:

For AB to be a perpendicular bisector, then DB and BC are congruent

Given that DB and BC are congruent, we get;

AB is congruent to AB by reflexive property

Therefore, given that AD is congruent to AC, we have;

Sides AD, AB, and DB in triangle ΔADB are congruent to the corresponding sides AC, BC, and AB in triangle ΔACB, which gives

ΔADB is congruent to ΔACB by Side-Side-Side, SSS, congruency rule

Therefore, ∠ABD ≅ ∠ABC, by Congruent Parts of Congruent Triangles are Congruent, CPCTC

∠ABD = ∠ABC by definition of congruency

∠ABD and ∠ABC are linear pair angles, therefore;

∠ABD + ∠ABC = 180°

∠ABD + ∠ABD = 2 × ∠ABD = 180° by substitution property

∠ABD = 180°/2 = 90°

∠ABD = 90° = ∠ABC, therefore, AB is perpendicular to CD and AB is a perpendicular bisector of CD

Therefore, the correct option Kiran need to know in order to show that AB is a perpendicular bisector of segment CD is the option; DB and BC are congruent

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Answer:

the answer is 3.9 km/h southeast