Give the slope between the points
(-4,1) (-13,-1)

Answer:

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}=\frac{5}{n+3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}[/tex]

Let us simplify

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{5\left(n+1\right)}{\left(n+1\right)\left(n+3\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:n+1[/tex]

[tex]=\frac{5}{n+3}[/tex]

Therefore,

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}=\frac{5}{n+3}[/tex]

Answer:

C

Step-by-step explanation:

5n+1/n+3

Answer:

35.50 + 12.25x = 25.99 + 14.99x

Step-by-step explanation:

Given

Atlantic Boat

Deposit = $35.50

Hourly Rate = $12.25

Pacific Boat

Deposit = $25.99

Hourly Rate = $14.99

Required

Determine the equation that represents when both charges would be equal

Represent the number of hours with x

For both rental agencies, the hourly rate would be calculated using:

Deposit + Hourly Rate * x

So, for Atlantic Boat, the expression is:

35.50 + 12.25 * x

35.50 + 12.25x

For Pacific Boat, the expression is:

25.99 + 14.99 * x

25.99 + 14.99x

Next, is to equate both expressions.

This, when solved would get the number of hours when there charges would be the same.

35.50 + 12.25x = 25.99 + 14.99x

Solving further:

Collect like terms

35.50 - 25.99 = 14.99x - 12.25x

9.51 = 2.74x

Divide through by x

x = 9.51/2.74

x = 3.47 hours

Answer:

6th: 2 girl groups of 32 and 2 boy groups of 36

7th: 3 girl groups of 27 and 3 groups of 21

8th: 2 girl groups of 34 and 2 boy groups of 30

Sorry if it's wrong, had a little trouble understanding.

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

Answer:

150.90 feet

Step-by-step explanation:

It is given that,

A kite is flying 99 ft off the ground

The angle of elevation is 41°.

We need to find the length of the string. Let it is H.

Here, 99 ft is the perpendicular of a right angled triangle. We need to find hypotenuse of the triangle. Using trigonometry we can find it as follows :

[tex]\sin\theta=\dfrac{P}{H}\\\\H=\dfrac{P}{\sin\theta}\\\\H=\dfrac{99}{\sin(41)}\\\\H=150.90\ \text{feet}[/tex]

So, the length of the string is 150.90 feet.

Answer:

first box 1.5, second box -1.5 don't forget the negative for the second box

Step-by-step explanation:

Answer:

Box one: 1.5.

Box two: Negative -1.5

Answer:

(5, 1)

Step-by-step explanation:

Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2

The midpoint formula is expressed as;

M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)

a = 3,

b = 2

x1 = 3

y1 = 7

x2 = 13

y2 = -2

To get the coordinate of X

x = ax1+bx2/a+b

x = 3(3)+2(123/3+2

x = 9+26/5

x = 35/5

x= 7

y= ay1+by2/a+b

y = 3(7)+2(-8)/2+3

y = 21-16/5

y = 5/5

y = 1

Hence the coordinate of X is (x, y) = (5, 1)

Answer:

100

Step-by-step explanation:

500ml÷5h=100ml/h

The assistant will receive 100 mL per hour.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units. . For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol.

Given here, A physician assistant orders 500 mL of D5NS over 5 hours.

Therefore, he will receive 500/5 = 100 mL of D5N5 per hour

Hence, the asistant wil recieve 100 mL per hour

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

The expression [tex]\rm \frac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \frac{a^3b^4}{ab^{2}}[/tex]. Then the correct option is D.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}[/tex]

And a ≠ 0 and b ≠ 0.

The negative exponents have been eliminated.

We know that 1/a⁻ⁿ = aⁿ.

Simplify the expression, then the expression will be

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}[/tex]

The expression [tex]\rm \dfrac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \dfrac{a^3b^4}{ab^{2}}[/tex].

Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

[tex]Total = \$6c + \$10f[/tex]

Step-by-step explanation:

Given

[tex]Cheese\ Pizza = \$6[/tex]

[tex]Topping\ Pizza = \$10[/tex]

Required

Cost of c cheese and f topping pizza

Solving for c cheese pizza

If 1 cheese pizza costs $6,

c cheese pizza would cost $6 * c

Solving for f topping pizza

If 1 topping pizza costs $10,

f topping pizza would cost $10 * f

Hence:

[tex]Total = \$6 * c + \$10 * f[/tex]

[tex]Total = \$6c + \$10f[/tex]

Hence, the total amount paid is: [tex]\$6c + \$10f[/tex]

Answer:

B

Step-by-step explanation:

there are 4 answers for each question, thats 8 all together. Two of the 4 are one vaild answers. Take 2/8 * 2/8 = 4/64 then you reduce that and get 1/16

Answer:

6/27

Step-by-step explanation:

[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]

Answer:

x  = 1,77 in

Step-by-step explanation:

Total volume of molten plastic to make  a block is

1 [gal] - 1 L (lost in the process)  =  3,7854 - 1  =  2,7854

Now the volume of the block is:

1 foot  * 8 inches * x ( thick of the block )

1 foot is 0,3048 meter  and 1 inch is 0,0254 meter

Then  in m³  the volume of the block is

0,3048 * 8 * 0,0254 * x  =  0,06193536 * x  [ m³ ]

That volume should be equal to  2,7854 / 1000

Therefore

 0,06193536 * x  = 2,7854 / 1000        x in m³

x = 2,7854 /61,93536  m

x  =  0,044972  m      and    1 m  =  39,37 in

x  = 1,77 in

Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase

Answer:

Fill the blank with [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Required

Fill in the gaps

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Open Brackets

[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]

[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]

Multiply xy and x^3

[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]

[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]

Divide fraction by 9/9

[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]

By comparison, the blank will be filled with:

[tex]\frac{8}{3}[/tex]

Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]

Answer:

c = (y-0.13y)(1.08)

Step-by-step explanation:

c = cost and y = the original price

The amount of money off is 13% of y, or 0.13 of y. You would subtract that from y to get the price of the cards with the discount. For final cost, you need the cost of the cards (1) plus the cost of tax (8%, or 0.08). 1+0.08 is 1.08, so that's what you would multiply y by to get the final cost of the cards.

Hope this helped!

Answer:

84cm

Step-by-step explanation:

h height

w widith

48cm × 1 3/4 = h h = 84cm

Answer:

22 is 10 of 220

Step-by-step explanation:

hope it help

Answer:

55 mph

Step-by-step explanation:

Assuming that

v = velocity of the plane in still air,

w = velocity of the wind.

We are given that v = 360 mi/hr.

Using the equation

x = vt

where

x is the distance an object travels

v is the speed of the object

t is the time taken

While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.

For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.

Creating an equation from the two, we have

210 mi = (360 + w)T

150 mi = (360 - w)T

Solving for T, we have

T = 210/(360 + w)

T = 150/(360 - w)

And since T is the same in both cases, we say that

So, 210/(360 + w) = 150/(360 - w)

Or on rearranging,

(360 + w)/210 = (360 - w)/150

(360)(150) + 150w = (210)(360) - 210w

55800 + 150w = 75600 - 210w

360w = 19800

Therefore, the speed of the wind is 55 mile per hour

Answer:

75%

Step-by-step explanation:

20-5=15 - change in numbers

15/20×100%= 75%

Answer: 16 feet

Step-by-step explanation:

Looking at the drawing, the longest wall in the room is the horizontal length of the scale drawing.

Looking at the longest wall, the number of squares with a side length on the line of the wall are 8 in number.

If each square represents a side length of 2 feet, the length of the wall will be;

= 2 * 8

= 16 feet

Answer:

Perimeter = 44.67

Step-by-step explanation:

Answer:

11/72

Step-by-step explanation:

[tex] \frac{11 \times 1}{8 \times 9} = \frac{11}{72} [/tex]

Answer:

Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Step-by-step explanation:

We need to used distributive property to solve (x+12)8

The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]

Using the property:

[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]

So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Answer:

-5/4

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (5-10)/(49-45)

Answer:

you could be correct but I think it's B

Answer:

a : b = 4 : 3

Step-by-step explanation:

(mark as brainlist answer)

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3