What is the perimeter, P, of a rectangle that has a length of x + 8 and a width of y - 1?
Op = 2x + 2y + 18
OP = 2x + 2y + 14
OP = x + y - 9
OP = x + y + 7

Area = Length x width

Area of carpet = 6 x 6 = 36 square meters

Cost of carpet per square meter = total cost / area

Cost per square meter: 390 / 36 = £10.83

Area of room = 5 x 5 = 25 square meters.

Area of rug not used = area of room subtracted from area of carpet:

36 - 25 = 11 square meters

Cost of the carpet not used = area of carpet not used x cost per square meter

11 x 10.83 = 119.13

ANSWER: £119.13

Answer:

Area = Length x width

Area of carpet = 6 x 6 = 36 square meters

Cost of carpet per square meter = total cost / area

Cost per square meter: 390 / 36 = £10.83

Area of room = 5 x 5 = 25 square meters.

Area of rug not used = area of room subtracted from area of carpet:

36 - 25 = 11 square meters

Cost of the carpet not used = area of carpet not used x cost per square meter

11 x 10.83 = 119.13

ANSWER: £119.13

Step-by-step explanation:

Answer:

The height reached by the ladder is 8 m.

Step-by-step explanation:

A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?

Length of ladder, L = 10 m

foot of ladder, D = 6 m

Let the height reached is H.

[tex]L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m[/tex]

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Work Shown:

x-y = 3

5(x-y) = 5*3 .... multiply both sides by 5

5(x-y) = 15

Answer:

False

Step-by-step explanation:

False

There is not enough information to guarantee the lines are perpendicular.

No, we can not say that AB and CD are perpendicular from the information given.

Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.

The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

Given that a triangle ABC, divided into two triangles by a line DC, also

angle DAC and DBC are congruent,

From the given information we can not conclude any relation between both triangles,

Hence, we can not say that AB ⊥ CD

Learn more about perpendicular line click;

https://brainly.com/question/29268451

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Answer:

[tex]\dfrac{-x}{3}[/tex]should be added to the given equation.

Step-by-step explanation:

Let a is added to the given equation.

According to the given condition,

[tex]\dfrac{5x}{6}-4+a=\dfrac{x}{2}-4\\\\a=\dfrac{x}{2}-4+4-\dfrac{5x}{6}\\\\a=\dfrac{x}{2}-\dfrac{5x}{6}\\\\a=\dfrac{3x-5x}{6}\\\\a=\dfrac{-2x}{6}\\\\a=\dfrac{-x}{3}[/tex]

So, [tex]\dfrac{-x}{3}[/tex]should be added to the given equation.

Answer:

store p

number

of t-shirts cost (in $)

3 $18

6 $36

9 $54

store q

number

of t-shirts cost (in $)

2 $10

4 $20

8 $40

Store q, because the ratio of the number to the cost is 1: 6 in store p and 1: 5 in store q.

Answer:

Moda de Pablo: 4

Moda de Claudio: No tiene.

Step-by-step explanation:

Después de una pequeña búsqueda online, encuentre las tablas para este problema, las cuales se pueden observar abajo.

La moda es el valor que más se repite, para el caso de Pablo, podemos ver que el valor 14 se repite dos veces (de hecho es el único que se repite). Entonces es el valor que más se repite. Entonces la moda de Pablo es 14.

Para el caso de Claudio podemos ver que ningún valor se repite, entonces los datos de Claudio no tienen una moda.

Answer:

Volume of cone = 33.49 inch³

Step-by-step explanation:

Missing information;

Height of cone = 8 inch

Diameter of cone = 4 inch

Find:

Volume of cone

Computation:

Radius of cone = Diameter of cone / 2

Radius of cone = 4 / 2

Radius of cone = 2 inch

Volume of cone = [1/3][πr²h]

Volume of cone = [1/3][(3.14)(2)²8]

Volume of cone = [1/3][(3.14)(4)8]

Volume of cone = [1/3][(3.14)(32)]

Volume of cone = [1/3][100.48]

Volume of cone = 33.49 inch³

Step-by-step explanation:

here is the answer to thy question

Answer:

35,600,442

Step-by-step explanation:

If you line up the ones place then you can easily see. After you line it up, you can just add like normal.

35,000,000

00,600,000

00,000,400

00,000,040

+ 00,000,002

-----------------

35,600,442

Step-by-step explanation:

add all the freqency up which is 100

you have to use a customize spinner and put in all the colors that are all on the side...

Spin 150 times ( 250-100= 150) and put tally marks on the sheet of tallys.

Then count all you red and see.

Hope all that makes sense..

Answer:

No, ice cream cannot fits inside the cone.

Step-by-step explanation:

radius of cone, r = 3 cm

height of cone, h = 10 cm

radius of ice cream sphere, R = 33.5 cm

The volume of the cone is

[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]

Volume of ice cream

[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]

As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.

Answer:

The car price decreased by $2,268.

The price of the car now is $33,732.

Step-by-step explanation:

Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.

Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.

Answer:

Step-by-step explanation:

6.3 : 100 = x : 36000

x = (36000 * 6.3)/100 = $2268 (decrease in price)

Price of new model: 36000 - 2268 = $33732

Answer:

11 and 33

Step-by-step explanation:

The greater of two numbers is 3 times the smaller.

Let the numbers be

n and 3n

sum is 44

n + 3n = 44

4n = 44

Divide both sides by 4

n = 11

3n = 3 * 11

3n = 33

Answer:

smaller number is 11

bigger number is 33.

Step-by-step explanation:

Lets make the smaller number be a, the bigger number 3a since its 3 times a's value

the sum of a and 3a is 44

so we write

a+3a = 44

combine like terms

a+3a = 4a

4a = 44

divide both sides by 4

a = 11.

Now we know the smaller number is equal to 11, but we are not done just yet.

We have to find the value of the bigger number by plugging in 11 into our equation

11+3*11 = 44

11 + 33 = 44

which means the bigger number is 33

Answer:

small = 35 pounds

large = 45 pounds

Step-by-step explanation:

Let x = large boxes

y = small boxes

two equations can be derived from the question

x + y = 80  equation 1

60x + 65y = 4975 equation 2

multiply equation 1 by 60

60x +60y = 4800 equation 3

subtract equation 2 from 3

5y = 175

y = 35

substitute for y in equation 1

x + 35 = 80

x = 80 - 35

x = 45

Answer:

10a+3b÷c/3

Step-by-step explanation:

let the first number be a

second be b

third be c

10×a +3×b ÷c÷3

10a+3b÷c/3

=10a+3b÷c/3

Answer:

The y-component is 11.49 m.

Step-by-step explanation:

Given that,

Vector = 12 m

Angle, θ = 73.3°

We need to find the y-component of this  vector.

It can be calculated as follows :

[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]

So, the y-component is 11.49 m.

Answer:

A. (0,-2)

Step-by-step explanation:

Meaning of a rational number is a number that can be expressed as the quotient or fraction

p/q of two integers, a numerator p and a non-zero denominator q.

Answer:

(A). (0,-2)

Step-by-step explanation:

y-intercept means the points in which the funtion crosses the y-axis. According to the graph you can see that at (0,-2) it crosses the axis and therefore (0,-2) is the answer.

If this helps you, please give brainliest!

Answer:

37

Step-by-step explanation:

they gave us 53 and there is the 90 degree angle so you just add that and find the missing since itll equal 180

Answer:

4,000 milliliters

Step-by-step explanation:

There are 1,000 millililters in one liter. 4*1,000=4,000.

Answer:

4,000 mL

Step-by-step explanation:

there are 1,000 mL in one liter so there are 4,000 mL in four liters

Answer:

I hope it helps u..........

Given:

Rahul and Swapnil brought an equal amount of money for shopping.

Rahul spend rupees 95 and Swapnil spend rupees 350.

After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.

To find:

How much money did Rahul have left after shopping.

Solution:

Let x be the amount brought by both Rahul and Swapnil.

Rahul spend rupees 95 and Swapnil spend rupees 350. So, the remaining amounts are:

Rahul's remaining amount = [tex]x-95[/tex]

Swapnil's remaining amount = [tex]x-350[/tex]

After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.

[tex](x-350)=\dfrac{4}{7}\times (x-95)[/tex]

[tex]7(x-350)=4(x-95)[/tex]

[tex]7x-2450=4x-380[/tex]

Isolate the variable terms.

[tex]7x-4x=2450-380[/tex]

[tex]3x=2070[/tex]

[tex]x=\dfrac{2070}{3}[/tex]

[tex]x=690[/tex]

Now, the remaining amount of Rahul is:

[tex]x-95=690-95[/tex]

[tex]x-95=595[/tex]

Therefore, the correct option is B.

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

refer to solution in the picture

Answer:

-177.8 feet below sea level.

Step-by-step explanation:

First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.

Hope this helps!

Answer:

X÷8+12 is how this would look

Answer:

x/8 + 12

Step-by-step explanation:

Answer:

the second option

yes, because they are similar triangles

Step-by-step explanation:

the scaling factor is 3

3×3 = 9

3×7 = 21

so, the ratios of the sides remain the same, and the 90 degree angle remains the same. therefore, just one triangle is larger than the other, but the relative attributes and even the orientation are the same, so yes, since we don't know the absolute coordinates of the corners, indeed, the Hypotenuse of both triangles could be on the same line.

Answer:

1. 20 degrees celsius

2. 24 degrees celsius

3. decreased

4. 6am

5. 10am

Step-by-step explanation:

Answer:

285541  

Step-by-step explanation:

According To The Question,

Now, for the population of bacteria in the culture after 14 hours is [tex]P_{t}[/tex] . We have Initial Population([tex]P_{i}[/tex])=41000 , d=14 & t=5 .

Put These Value in Above Formula, We get

[tex]P_{t} = 41000*(2)^{\frac{14}{5} }[/tex]

[tex]P_{t} = 41000*2^{2.8}[/tex]

[tex]P_{t} = 41000*(6.9644)[/tex]

[tex]P_{t} =[/tex] 285540.5847 ≈ 285541

Answer:

Hdujshshshddhdh

Step-by-step explanation:

Answer:

the gas cost for the entire trip is $77

Step-by-step explanation:

Given that

For the first 300 miles, it spend $12.50 on gas

We need to find out the gas cost for the overall trip at the time when it drives 960 miles

So, it should be

= 960 miles ÷ $12.50

= $76.80

= $77

Hence, the gas cost for the entire trip is $77