The length of a rectangular garden is 5 meters more than its width. If the
area of the rectangular garden is 150 m2, identify the equation used to find
the width of the rectangular garden.

O W(W+5) = 150
O W(W + 5) 22 = 150
O 1/2(2W + W) = 150
O 2W(W + 5) = 150

Answers

Answer 1

Answer:

Width of rectangular garden = 10 meter

Step-by-step explanation:

Given;

Area of rectangle garden = 150 m²

Length of rectangular garden = 5 meters more than its width

Find:

Width of rectangular garden

Computation:

Assume;

Width of rectangular garden = W

So,

Length of rectangular garden = 5 + W

Area of rectangle garden = length x width

(W)(W + 5) = 150

W² + 5W = 150

W² + 5W - 150 = 0

W² + 15W - 10W  - 150 = 0

W(W + 15) - 10(W + 15) = 0

(W + 15)(W - 10)

So,

W = -15, W = 10

Width of rectangular garden = 10 meter


Related Questions

Graph y = x2 + 10x + 25.
Determine the number of solutions.

Answers

Answer:

1 solution

Step-by-step explanation:

The equation will be a horizontal parabola that has an x-intercept of (-5,0) therefore 1 solution

Answer:

vertex: (-5,0)

axis of symmetry: x=-5

some points: (-7,4)(-6,1)(-5,0)(-4,1)(-3,4)

What is 5 11/10 simplified

Answers

Answer:

61/10 or in decimal form 6.1 or 6 1/10

Step-by-step explanation:

Hey can you help me fast!!

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The answer is12

(PS. I used to HATE i-ready)

hii please help i’ll give brainliest:)

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Answer:

They most of the time used the ability to row ships to get to places

Step-by-step explanation:

They were more reliable to row ships to trade with other people because the Mediterranean Sea was critical to how they were able to trade.

Answer:C.) Row ships

calculate the volume of the prism by first finding the total number of half unit cubes that will fill it.There are 8 half unit cubes in every unit cube pls help guys this is my exam

Answers

Answer:

I think its C

Step-by-step explanation:

a cyclist pedals 14 km in 20 minutes with the wind and returned in 30 min against the same wind. Find the speed of the cyclist pedaling with no wind.

Answers

Answer:

1.79

Step-by-step explanation:

add the times

multiply the speed by 2

Witch fraction is equivalent to 33/200

Answers

Answer:

16.5/100

Step-by-step explanation:

An equivalent fraction to 33/200 could be 66/400.

what is the solution for this system of linear equations?

a. (3,1)
b. (-2,1)
c. Infinite solutions
d. No solution

Answers

Answer:

Step-by-step explanation:

hello :

d. No solution

Simplify and express
[tex]2 \sqrt{2} - \frac{3}{ \sqrt{2} } + \frac{4}{ \sqrt{8} } [/tex]
as a single surd​

Answers

First a few reminders:

• For a ≠ 0 and b ≥ 0, [tex]\sqrt[a]{b}=b^{\frac1a}[/tex]

• 4 = 2² and 8 = 2³

• For real numbers a, b, c, we have [tex](a^b)^c=a^{bc}[/tex]

• For any real numbers a and n (so long as both are not zero), we have [tex]\frac1{a^n}=a^{-n}[/tex]

• For any numbers a, b, c, [tex]a^b\times a^c=a^{b+c}[/tex]

So we have

[tex]\sqrt2=2^{\frac12}[/tex]

[tex]\dfrac1{\sqrt2}=2^{-\frac12}[/tex]

[tex]\dfrac1{\sqrt8}=\dfrac1{(2^3)^{\frac12}}=2^{-\frac32}[/tex]

Then the given expression can be rewritten as

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2\times2^{\frac12}-3\times2^{-\frac12}+2^2\times2^{-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{1+\frac12}-3\times2^{-\frac12}+2^{2-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{\frac32}-3\times2^{-\frac12}+2^{\frac12}[/tex]

Pull out a factor of [tex]2^{-\frac12}[/tex]:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^{\frac32+\frac12}-3+2^{\frac12+\frac12}\right)[/tex]

Simplify this:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^2-3+2^1\right)=2^{-\frac12}(4-3+2)=3\times2^{-\frac12}=\dfrac3{\sqrt2}[/tex]

Rationalize this last result to get the square root out of the denominator:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=\dfrac3{\sqrt2}\times\dfrac{\sqrt2}{\sqrt2}=\dfrac{3\sqrt2}{(\sqrt2)^2}=\boxed{\dfrac{3\sqrt2}2}[/tex]

Suppose that Clayton Kershaw of the Los Angeles Dodgers throws his fastball with a mean velocity of 94 miles per hour (mph) and a standard deviation of 2 mph and that the distribution of his fastball speeds can be modeled by a Normal distribution What percent of Kershaw’s fastballs will travel at least 100 mph?

Answers

Answer:

Step-by-step explanation:

ah,  probability,  so the std. deviation is 2 MPH,  so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 std. deviations  or  6 MPH to hit 100

99.7%  of throws fall into that area of with in 3 std. deviations so that means

0.3% fall outside also , 1/2 of those will 3 std. deviations slow while the other half is fast

so

0.15%  will be 100 or faster.... not many

0.15% is the percent of Kershaw’s fastballs will travel at least 100 mph.

What is Normal Distribution?

A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

The standard deviation is 2 MPH,  so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 standard deviations  or  6 MPH to hit 100

99.7%  of throws fall into that area of with in 3 standard deviations  so that means

0.3% fall outside also , 1/2 of those will 3 standard deviations slow while the other half is fast

so 0.15%  will be 100 or faster

Hence 0.15 percent of Kershaw’s fastballs will travel at least 100 mph.

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HELP! :))

If 35 liters of petrol cost $21.00, what is the price per liter?

Answers

Answer:

1.66$ per liter

Step-by-step explanation:

Hi there! I hope you're having a good day so far. :)

So this equation is quite simple. To write it out, you get:

35/21.00=?

All you need to do is get a calculator and put that in.

Then you will get 1.66666667, but to 'simplify' it, you just get 1.66 dollars per liter.

Therefore, the answer is 1.66$ per liter.

Helper's Message:

I hope this answer helped you! I wouldn't mind if you hit the 5-star rating or gave me a thank you. ☺️

-ChocoChocoCho

HELP 10 POINTS GIVEN 5TH GRADE MATH ONE QUESTION BRAINLIEST

Answers

Answer:

2848, 7120

Step-by-step explanation:

It's simple multiplication, there's nothing more to it.

Answer:

The first square is : 2848

The second one is : 7120

As shown in the picture

Step-by-step explanation:

I hope that is useful for you :)

PLEASE HELP 50 points

Answers

Answer:

r > 7 (C)

Step-by-step explanation:

3r−7>14

Step 1: Add 7 to both sides.

3r−7+7>14+7

3r>21

Step 2: Divide both sides by 3.

3r

3

>

21

3

r>7

Hope this helps and makes sense!! Good luck and have a wonderful day! <33

Imagine this < as a alligater and itś eating the greater number!!

Answer:

C.) r ≥ 7

Step-by-step explanation:

1. Add 7 to each side to cancel it out and keep the sign the way it is to avoid confusion

3r - 7 ≥ 14

   + 7    +7

3r ≥ 21

2. Divide each side by 3 to get the variable alone

3r/3 = r

21/3 = 7

r ≥ 7

This means r is greater than or equal to 7, and it can also be written as 7 ≤ r

riverview soccer team won 10 games and drawn 2 out of 18 games so far this season. what is the probability they will lose their next game

Answers

Dababy ibiviffdyvbif

The difference between two whole numbers is 99. The ratio of the two numbers is 2:5. What are the numbers?​

Answers

Let the two whole numbers be 2x and 5x

The difference between 2x and 5x is 99. So,

5x-2x=99

3x=99

x=99/3

x=33

Therefore the two numbers are

5x=5*33=165

2x=2*33=66

Answer:

28:71

Step-by-step explanation:

99/7=14.14285714 (make sure to keep that in the calculator) that equals 1 part.

Therefore,

2×14.14...=28 (round up to nearest whole number)

5×14.14..=71 (round up to nearest whole number)

WILL GIVE BRAINLIEST, NO LINKS

Find the area of the polygon.

Answers

Answer:

166.3

Step-by-step explanation:

line that shows 8, shows that each of six sides is 8

so that's 48

to get the "apothem"

it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)

so that is square root of 48 which is like 6.928

then plug into the formula

1/2 x 6.928 x 48 which is like 166.27

Find the surface area and the volume, help me pretty please

Answers

Answer:

The surface area is 13.08 and the volume is 3.14

Step-by-step explanation:

Select the expression that has a value of 13. 9 + 3 x (2 ÷ 3) + 6 (9 + 3) x 2 ÷ 3 + 6 9 − (3 x 2) ÷ 3 + 6 (9 + 3 x 2) ÷ 3 + 6

Answers

Answer:

[tex](c)\ 9 - (3 * 2) \div 3 + 6[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Which equals 13

[tex](a):\ 9 + 3 * (2 \div 3) + 6[/tex]

Solve the bracket

[tex]9 + 3 * (2 \div 3) + 6 =9 + 3 * (\frac{2}{3}) + 6[/tex]

Open the bracket

[tex]9 + 3 * (2 \div 3) + 6 =9 +2 + 6[/tex]

[tex]9 + 3 * (2 \div 3) + 6 == 17[/tex]

[tex](b):\ (9 + 3) * 2 \div 3 + 6[/tex]

Solve the bracket

[tex](9 + 3) * 2 \div 3 + 6 =(12) * 2 \div 3 + 6[/tex]

Open bracket

[tex](9 + 3) * 2 \div 3 + 6 =24 \div 3 + 6[/tex]

Divide

[tex](9 + 3) * 2 \div 3 + 6 =8 + 6[/tex]

[tex](9 + 3) * 2 \div 3 + 6 =14[/tex]

[tex](c)\ 9 - (3 * 2) \div 3 + 6[/tex]

Solve the bracket

[tex]9 - (3 * 2) \div 3 + 6 =9 - (6) \div 3 + 6[/tex]

Remove bracket

[tex]9 - (3 * 2) \div 3 + 6 =9 - 6 \div 3 + 6[/tex]

Divide

[tex]9 - (3 * 2) \div 3 + 6 =9 - 2 + 6[/tex]

[tex]9 - (3 * 2) \div 3 + 6 =13[/tex]

[tex](d)\ (9 + 3 * 2) \div 3 + 6[/tex]

Solve the bracket (the product, first)

[tex](9 + 3 * 2) \div 3 + 6=(9 + 6) \div 3 + 6[/tex]

[tex](9 + 3 * 2) \div 3 + 6=15 \div 3 + 6[/tex]

Divide

[tex](9 + 3 * 2) \div 3 + 6=5 + 6[/tex]

[tex](9 + 3 * 2) \div 3 + 6=11[/tex]

Only (c) equals 13

F: 0- (-8)
G: -2 • 4
H: -2 + (-8)
J: -2 devided by 4

Answers

Don’t click the link

Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box. Th radius is 6 ft and the height is 12 ft.

Answers

Assuming that Anita needs hollow right circular cones, we are solving for its lateral surface area, which is given by the formula πr√ (h²+r²), where r is the radius and h is the height.

r = 6 ft / 2 = 3 ft

Solving for the lateral surface area of one cone:

LSA = (3.14) (3) [√ (12²+3²) ] = 116.52 sq ft.

Since she needs 10 cones:

10 * 116.52 sq. ft = 1,165.2 sq ft.

She will need 1,165.2 sq ft of material.

Hope this helps you :)

Which expression is equivalent to -8 - (-12)
8 - 12
-8 + 12
-8 - 12
-8 (8+12)

Answers

I need help with this too it’s confusing and I don’t understand it.

-8+12 because two negatives make a positive

Which rule describes the composition of transformations that maps triangle BCD to triangle B""C""D""?

Answers

Answer:

(d)

Step-by-step explanation:

Given

See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]

Required

The transformations

Using B and B"" as points of reference, we have:

[tex]B = (1,4)[/tex]

[tex]B"" = (5,-1)[/tex]

The transformation is as follows:

First, reflect across y axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]B(1,4) \to B'(-1,4)[/tex]

Next, translate 6 units right.

The rule is:

[tex](x,y) \to (x + 6,y)[/tex]

So, we have:

[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]

[tex]B' (-1,4) \to B"(5,4)[/tex]

Lastly, translate 5 units down

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]B"(5,4) \to (5,4-5)[/tex]

[tex]B"(5,4) \to (5,-1)[/tex]

Hence; (d) is correct

find z. explain please

Answers

Answer:

13

Step-by-step explanation:

You need to use pythagorean theorem (a^2 + b^2 = c^2). In this case 5 is a, 12 is b, and z is c. 5^2 + 12^2 = z^2, this ends up as 169 = z^2. Now you find the square root of 169 which is 13.

Step-by-step explanation:

Maybe it is root 5²time 12²=60

BRAINILIEST PLEASE

–v^2 + 4v − 1 = 0

Solve using the quadratic formula

what do I do?

Answers

Answer:

The quadratic formula is ax^2+bx+c=0.

The exact answer to this is v = 2 ± √ 3

Step-by-step explanation:

*PLEASE HELP ASAP ITS A TEST* How many solutions does the system of linear equations represented in the graph below have?

Answers

Answer:

0

Step-by-step explanation:

The 2 lines never intersect so there are 0 solutions

Briefly explain the roles and relationships that exists amongst the producers, consumers, and decomposers in an ecosystem such as an ocean.

Answers

*They are all organisms* producers make their own food through a process called photosynthesis, decomposers get energy and nutrients to breaking down the remains of other living organisms and consumers get energy and nutrients by eating other organisms. Hope that helped:)

The roles and relationships that exist amongst the producers, consumers, and decomposers in an ecosystem is described by the food chain.

What is an ecosystem?

The meaning of ecosystem is the complex of a community of organisms and its environment functioning as an ecological unit.

Producer is an organism that produces its own food e.g. photosynthesis in plants. Also known as the base of the food-chain.

Consumer is an organism that consumes (eats) either a producer or another consumer e.g. animals will solely eat plants (herbivore), solely animals (carnivore), or a combination of both (omnivore).

Studies are showing that most animals are omnivores. Even pre-concluded herbivores or carnivores are found to eat a small variety of both plants and animals in a pinch. E.g. a deer would eat a baby bird if it found it on the ground.

Decomposers are organisms that 'eat' and break up dying/decaying material e.g. earthworms and fungi.

All of this together is the food cycle.

Learn more about ecosystem, click;

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A bottling company produces 7,200 cans of iced tea per day. How many 12-can cartons can be filled?

Answers

Answer:

600 cartons

Step-by-step explanation:

Similar right triangles
Find the value of x.

Answers

x^2 = 9.4 = 36
x = 6
good luck

If the population has a variance of 4.6, what is the variance of the sampling distribution of its means if the

sampling distribution was derived with sample size n = 2 and all possible samples are drawn with

replacements?​

Answers

Answer:

Step-by-step explanation:

Hi

Sarah goes to dinner with two friends the total cost of dinner is $61.92 her friends pay 2/3 of the total cost exactly how much does Sarah pay

Answers

Answer:

the amount paid by Sarah is $20.64

Step-by-step explanation:

Given that

The total cost of the dinner is $61.92

And her friends pay 2 by 3

We need to find out the amount paid by Sarah

Since her friends pay 2 by 3 of the total cost

That means the remaining should be paid by Sarah i.e. 1 by 3

So, we need to multiply 1 by 3 with the total cost of the dinner i.e.

= 1 ÷3 × $61.92

= $20.64

Hence, the amount paid by Sarah is $20.64

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