David’s family is driving from New York to Florida. They know the distance they will travel is about 1100 miles . If a map has a scale of 1 in = 80 mi about how far will the trip be on the map ?

Answer:

[tex]6x^{2} +37x+45[/tex]

Step-by-step explanation:

Hello!

A trinomial is a algebraic expression containing 3 terms

To turn this into a trinomial we have to multiply everything by each other

              3x              

3x * 2x = 6x^2

3x * 9 = 27x

              5              

5 * 2x = 10x

5 * 9 = 45

Now we put it all together

6x^2 + 27x + 10x + 45

Combine like terms

6x^2 + 37x + 45

The answer is [tex]6x^{2} +37x+45[/tex]

Hope this helps!

Answer:

D

Step-by-step explanation:

When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.  

When you replace x with (x-7) the equation will be converted into

y = ((x-7)+4)

y = x-3

When you graph this you see it has a x-intercept of 3 and a y-intercept of -3

To find the distance add the 2 x values together:

-4 + (-3) = ?

-4 -3 = ?

-7 = ?

Therefore the graph will shift units right

Answer:

G

Step-by-step explanation:

let his fixed price be x and his hourly fee be y;

270 = 4y + x

420 = 7y + x

x is common in both equations

equate the two;

x = 270-4y and x = 420-7y

270-4y = 420-7y

3y = 150

y = 50

x = 270-4*50

x = 70

The graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5

The equation is given as:

[tex]\mathbf{y = 0.5x + 5}[/tex]

A linear equation is represented as:

[tex]\mathbf{y = mx + c}[/tex]

Where m represents the slope, and c represents the y-intercept

So, by comparison:

m = 0.5

c = 5

This means that:

The slope is 0.5, and the y-intercept is 5

Hence, the graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5

See attachment for the graph of [tex]\mathbf{y = 0.5x + 5}[/tex]

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3rd one i just did it on edge :P

Answer:

work shown and pictured

Answer:

STEP 1: Find the circumference:

Circumference = 2πr

Circumference = 2π(14) = 28π cm

............................................................................................

STEP 2: Find the length of the arc:

Length of the arc = 36/360 x 28π

Length of the arc = 8.8 cm

.............................................................................................

Answer: The length of the arc is 8.8 cm

............................................................................................

hope it helpssss

Mark it as brilliant answer plzzz

ФωФ

Answer:

27°

Step-by-step explanation:

arc length = circumference × fraction of circle

let x be the central angle, then

2πr × [tex]\frac{x}{360}[/tex] = 6.6

2 × [tex]\frac{22}{7}[/tex] × 14 × [tex]\frac{x}{360}[/tex] = 6.6

88 ×[tex]\frac{x}{360}[/tex] = 6.6 ( multiply both sides by 360 )

88x = 2376 ( divide both sides by 88 )

x = 27

Thus central angle is 27°

Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

The required distance across the lake is 240 m. Hence correct option is A.

Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.

Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m

Thus, the required distance across the lake is 240 m.

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Answer:

Correct answer is a. 2x + 3 y = 9.

Step-by-step explanation:

Let the coordinates of centroid be (h,k)

{h/3 , (-2+k)/3}

h = (2 – 2 + a)/3 = a/3 ---eqn 1

k= ( - 3+ 1 + b )/3 = (-2 + b)/3 -----eqn 2

Where (x,y) are any point on the line 2x+3y=1

3h = a and 3k + 2 = b

From 2x +3y = 1,

Then, 2h +3k = 1, 3k = 1 - 2h -----eqn 3

b = 1 - 2h + 2 = 3 - 2h

also b = 3 - 2a/3

b = (9 -2a)/3

3b = 9 - 2a

3b + 2a = 9

Now (x,y) satisfy the point on the line 2x+3y=9

So the locus is 2x + 3 y = 9.

Answer:

[tex]\boxed{\pink{0.27945}}[/tex]

Step-by-step explanation:

[tex]3.45 \times 0.27 \\ = 0.9315 \times 0.3 \\ = 0.27945[/tex]

Answer: thousandths place

Step-by-step explanation:

                                      ↓

3.45 x 0.27 x 0.3 = 0.27945

The place values to the right of the decimal point are:

one to the right (2): tenths

two to the right (7): hundredths

three to the right (9): thousandths

four to the right (4): ten thousandths

five to the right (5): hundred thousandths

Answer:

-4.

Step-by-step explanation:

y = 3x - 7; x = 1.

y = 3(1) - 7

= 3 - 7

= -4

Hope this helps!

Answer:

y = - 4

Step-by-step explanation:

y=3x-7

Let x =1

y = 3*1 -7

y = 3-7

y = - 4

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{0}[/tex] = 1

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex]27^{-\frac{2}{3} }[/tex] × [tex]25^{\frac{1}{2} }[/tex] × [tex]5^{0}[/tex]

= [tex]\frac{1}{27^{\frac{2}{3} } }[/tex] × [tex]\sqrt{25}[/tex] × 1

= [tex]\frac{1}{9}[/tex] × 5 × 1

=[tex]\frac{5}{9}[/tex]

otal perimeter = 76cm = AB + BC + CD + AD

AD & BC = 13cm

AB = 1.5*(CD)

Solution:

Since we know AD & BC are both 13cm long, plug those numbers into the perimeter equation

76cm+=+AB+%2B+BC+%2B+CD+%2B+AD Place 13cm in for AD & BC

76cm+=+AB+%2B+13cm+%2B+CD+%2B+13cm Combine like terms

76cm+=+AB+%2B+CD+%2B+26cmSubtract 26cm from both sides

50cm+=+AB+%2B+CD Now it is time to substitute the 1.5*(CD) for AB

50cm+=+1.5%2A%28CD%29+%2B+CD rewrite the equation

50cm+=+2.5%2A%28CD%29 Divide both sides by 2.5

20cm+=+CD

To find AB, plug 20cm in for CD in the equation AB = 1.5*(CD)

AB+=+1.5%2A20cm

AB+=+30cm

Answer:

91

Step-by-step explanation:

Look at multiples of 7 and you’ll find 91.

91 dived by 3 is 30 with a remainder of 1.

91 divided by 5 is 18 with a remainder of 1.

91 divid by 7 is 13 with no remainder.

91 is the number between 1 and 100 satisfies the above conditions

A number system is defined as a system of writing to express numbers.

Given that a number is divided by 3 or 5, the remainder is 1.

If it is divided by 7, there is no remainder

We need to find the number between 1 and 100 which satisfies the given conditions.

Let us consider 91.

When 91 is divided by 3 we get 30 and 1 as remainder.

91 divided by 5 is 18 with a remainder of 1.

91 divided by 7 is 13 it does not have any remainder or remainder is zero.

Hence, 91 is the number between 1 and 100 satisfies the above conditions

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Answer:

1) 27.89

2) 20

Step-by-step explanation:

#1)

9.5x + 75 --> 340

340 - 75 --> 265

265 / 9.5 = 27.89

#2)

120 / 6 =

20 minutes

Answer:  f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.

Step-by-step explanation:

Given function: [tex]f(x)=\dfrac{3x^2}{x^2-4}[/tex]

The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.

i.e. [tex]x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2[/tex]

Hence, f(x) will have vertical asymptotes at x=-2 and x=2.

To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.

So, the graph will horizontal asymptote at [tex]y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}[/tex]

i.e. [tex]y=\dfrac{3}{1}=3[/tex]

Hence, f(x) will have horizontal asymptote at y=3.

Answer:

(x + 1)^2 + (y - 1)^2 = (8.5)^2

Step-by-step explanation:

Consider the general equation of a circle:

(x - h)^2 + (y - k)^2 = (r)^2

Where (h,k) represent the center point of the circle, and r represents the radius of the circle.  

For this circle, our center point appears to be at (-1,1) and the circle has a radius of 8.5.

Using this information, we simply plug these values into the general equation to get the following:

(x + 1)^2 + (y - 1)^2 = (8.5)^2

Cheers.

Answer:

0.5625 ft^2

Step-by-step explanation:

area of square = side * side

A = s^2

A = (0.75 ft)^2 = (0.75 ft)(0.75 ft) = 0.5625 ft^2

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

Square - a rectangle (4 sided shape) whose sides are equal length

Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines

Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles

Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.  

Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines

Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.

Happy to help!

Answer:

1). Triangle - Has 3 equal sides and angles of 60°.

2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).

3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.

4). Pentagon - It has 5 equal sides with equal angles of 108°.

5). Hexagon - It has 6 equal sides with equal angles of 120°.

PROPERTIES OF A CIRCLE:

It has no sides with no angles. The radius in any direction from the point are of the same length.

Answer:

positive

Step-by-step explanation:

X is positive since it is to the right of zero

Y is negative since it is to the left of zero

-xy

- ( +) ( -)

negative times positive times negative

negative times negative

positive

Answer:

$86.40

Step-by-step explanation:

The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the

entire month). Water costs 0.20 dollars per liter.

How much did Trevor's family pay per minute on shower water

Average person=72 liters of water

6 people=72*6= 432 liters

Each person = 480 minutes

6 people=480*6= 2,880 minutes

Water=$0.20 per liter

Total cost of water= 432 * 0.20

= $86.40

Answer:

o.o3

Step-by-step explanation:

Answer:

0.5+d=h

Step-by-step explanation:

If a plant is growing at a steady rate of 0.5 inches (h) in 1 day (d) then after one day your equation should look like: 0.5+1 which would give you the height of the plant in inches. If this is true, then you would keep the height per day the same (0.5) substitute the 1 for d (one day); then your equation would look like this: 0.5+d which would give you the height of the plant in inches (h).

0.5+d=h

The function that helps Yazmin to see how many days it takes is h = 1 + 0.5d.

Functions were originally the idealization of how a varying quantity depends on another quantity.

Now it is given that,

Height of sprout =  1 inch

Growth per day =  1/2 inch

Let h = height of the plant (inches), and let d = number of days (days)

∵ Growth per day =  1/2 inch

So, Growth of plant in d days = d * 1/2 = d/2 = 0.5d

Thus,  height of the plant, h = 1 + Growth of plant in d days

⇒ h = 1 + 0.5d

Thus, the function that helps Yazmin to see how many days it takes is h = 1 + 0.5d.

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Answer:

Below

Step-by-step explanation:

● Orders of 8 gallons or more can be modeled as: x》 8

● For each gallons in the situation above the company charges 11.99 per gallon so: 11.99x

● For orders that are less than 8, the comapny charges 14.78 per gallon

● => 14.78x for x < 8

So the function that represent the situation is the second one

Answer:

greatest number of solutions is 2

Step-by-step explanation:

one is a parabola, the other is a line

so it can intersect in 0, 1, 2 points

Answer:

Step-by-step explanation:

IF point E lies on the line segment DF, this means that all the points DEF are collinear and DE+EF = DF.

Given parameter

DE = 6

DF = 9

Required

EF

Substituting the given parameter into the expression above to get the required will be;

DE+EF = DF.

EF = DF-DE

EF = 9-6

EF = 3

Hence the length of EF is equivalent to 3

Answer:

B

Step-by-step explanation:

The greatest prime factor between 1 and 30 is 29. Remember that a prime number is a number whose only 2 factors is 1 and the number itself. To find out which number is a multiple of 29, all we have to do is divide it by 29, and if the quotient is a whole number then we have found our answer.

A: 1593 / 29 ≈ 54.93

B: 1247 / 29 = 43

We don't need to check C and D because we know that B is the answer.

1247 has the greatest prime factor between 1 and 30

The factor of a number that divides another number perfectly without leaving any remainder.  

For example, the factors of 12 are 1,2,3,4,6 and 12

A prime factor is a number that a prime number

A prime number is a number that can be divided only by 1 and that number

Prime numbers between 1 and 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

The greatest prime factor between 1 and 30 is 29

To determine which number has the greatest prime factor, divide each of the numbers in the options by 29.

1593 / 29 = 54.9 (29 is not a prime factor of 1593)

1247/29 = 43 (29 is a prime factor of 1247)

1311 / 29 = 45.2  (29 is not a prime factor of 1311)

943 / 29 = 32.5  (29 is not a prime factor of 943)

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Answer:

-5/24

Step-by-step explanation:

make the denominators the same!

Answer:

YZ = 8.5

Step-by-step explanation:

Since RY is an angle bisector then the ratio of the sides of the triangle are equal to the corresponding ratio of the base, that is

[tex]\frac{YX}{YZ}[/tex] = [tex]\frac{XR}{ZR}[/tex] , substitute values

[tex]\frac{11.9}{YZ}[/tex] = [tex]\frac{7}{5}[/tex] ( cross- multiply )

7YZ = 59.5 ( divide both sides by 7 )

YZ = 8.5