10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters

longer than the width. If the area of the room will be 150 square meters, what are the

dimensions?

Answers

Answer 1

Answer:

L = 15 m, b = 10 m

Step-by-step explanation:

Let width of the rectangle be b.

Length = 5+b

The area of the rectangle is 150 sq meters.

The area of rectangle is given by :

A = lb

So,

[tex]150=b(5+b)[/tex]

It is a quadratic equation. The solution of this equation is :

b = -15 m and 10 m

Neglecting -15, the width of the rectangle is 10 m.

Length = 5+10

= 15 m

So, the dimensions of the room are 10 m and 15 m.


Related Questions

Larry spends half of his workday teaching piano lessons. If he sees 6 students, each for the same amount of time, what fraction of his workday is spent with each student? *

Answers

Answer:

1/12

Step-by-step explanation:

bc ik

Answer:

the right answer is 1/12

Step-by-step explanation:

78/0000

67

777

7654

Welp what is 103883+293883=? please helppp mah mum in city :')​

Answers

The answer is 397766 hope this helps

[tex]\huge{\mathbb{\tt { PROBLEM:}}}[/tex]

Help What is 103883+293883=?

[tex]\huge{\mathbb{\tt { ANSWER:}}}[/tex]

397766

[tex]{\boxed{\boxed{\tt { SOLUTION:}}}}[/tex]

[tex] \: \: \: 103883 \\ \frac{+293883}{ \: \: \: \: 397766} [/tex]

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

[tex]\huge{\mathbb{\tt { WHAT \: IS \: ADDITION \: ?}}}[/tex]

Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined

#CarryOnLearning

#JustEnjoyTheSummer

XxKim02xX

I’ll mark you brainlieist

Answers

1. Divide by 4
x < 5

2. Subtract 4
x < 21

3. Add 8
x > 40

4. divide by -4( flip inequality sign b/c dividing by negative) so > turns into >
x < -6

The rest using the same concept. Try them yourself and ask for help if you need it

There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.

Answers

Answer:

about 10 hershy kisses

Step-by-step explanation:

Sorry If wrong :(

Which system of inequalities has this graph as its solution?
y 10
-10
- म
5
10
-10
OA. y < 21 - 3
y OB.y > 2 - 3
y> : +4
Ocy > 21 - 3
y < = + 4

Answers

Is this real math?!

Un conductor circula a 12 m/s. Acelera y pasa a circular a 20 m/s al cabo de 10 segundos. Calcula la aceleración del coche.

Answers

Answer:

Aceleracion = 0.8 m/s²

Step-by-step explanation:

Dados los siguientes datos;

Velocidad inicial = 12 m/s

Velocidad final = 20 m/s

Tiempo, t = 10 segundos

Para encontrar la aceleración;

Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.

Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.

Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;

[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]

Sustituyendo en la fórmula, tenemos;

[tex] Aceleracion = \frac{20 - 12}{10}[/tex]

[tex] Aceleracion = \frac{8}{10}[/tex]

Aceleracion = 0.8 m/s²

6. The table shows the number of manatee deaths caused by watercraft in Florida each year
beginning in 1980. The years are coded that 1980 is 1, 1981 is 2, and so on. Use the table to
find the best model and the R2 value.
Year
1
2
3
4
5
6
7
8
9
10
Deaths
16
24
20
15
34
33
33
39
43
50
(1 point)
linear model, 0.845
exponential model, 0.779
power model, 0.682
quadratic model, 0.866

Answers

Answer: quadratic model, 0.866

Step-by-step explanation:

Donna made $357 for 17 hours of work. At the same rate, how many hours would she have to work to make $189?​

Answers

Answer:

9 hours.

Step-by-step explanation:

$357 / 17 = $21. ($21 per hour.)

$189/$21 = 9. BOOM

Peterkin park has a square fountain with a walkway aroind it. The fountain measures 12 feet on each side. The walkway is 3 1/2 feet wide.Find the area of the walkway

Answers

Answer: 829.44 ft²

Step-by-step explanation:

Correction - The walkway is 31.2 feet wide.

To solve this, first find the area of the fountain:

Area of a square = Length * Width

= 12 * 12

= 144 ft²

The find the area of the walkway including the fountain:

= 31.2 * 31.2

= ‭973.44‬ ft²

To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:

= 973.44 - 144

= 829.44 ft²

You place two wooden support beams under a shelf, as shown. Find the value of x

Answers

Answer:

17x

Step-by-step explanation:

so first 2x is 2 x x = 2x

then +10 =12x then 5 + x = 5x so 5x + 12x = 17x

Write an equation in slope intercept form that represents the line shown?

Answers

Answer:

I think the answer would be Y=-2X+5

Hope it helps you *^*

Drag each sign or value to the correct location on the equation. Each sign or value can be used more than once, but not all signs and values will
be used.
The focus of a parabola is (-4,-5), and its directrix is y=-1. Fill in the missing terms and signs in the parabola's equation in standard form.

Answers

Answer: (x+4)² = -8 (y+3)

Step-by-step explanation: I got this correct on Edmentum.

2
Select the correct answer from each drop-down menu.
Consider polynomial function f.
f(x) = (1 - 1)?(1 + 3)3 (+ 1)
Use the equation to complete each statement about this function.
The zero located at x = 1 has a multiplicity of , and the zero located at x = -3 has a multiplicity of
The graph of the function will touch, but not cross, the x-axis at an x-value of
Reset
Next

Answers

Answer:

2 of the 3 answers in picture

Step-by-step explanation:

Answer:

The answers are 2, 3, and 1 only

Step-by-step explanation:

This is the correct answer for plato users

PLEASE HELP ME PUT THEM IN ORDER

Answers

Answer

picture below of order. Not entirely

Step-by-step explanation:

x/3 less than or equal to 7

Answers

Answer:

x ≤ 21

Step-by-step explanation:

x/3 ≤ 7

x ≤ 21

Answer:

x ≤ 21

Step-by-step explanation:

With this problem, we have to solve for x, and to do that, we isolate the variable.

To do this, let’s get rid of the /3 from the x by multiplying both sides by 3

now we get x ≤ 7 times 3

finall, we get x≤21

HELP MATH ASAP! I GIVE BRAINLIEST

Answers

The answer would be 0.

What’s the opposite of -5/8

Answers

The opposite of -5/8 is 5/8.
It’s 5/8, |-5/8| = 5/8

In ΔSTU, the measure of ∠U=90°, UT = 12, SU = 35, and TS = 37. What ratio represents the secant of ∠T?

Answers

Answer: hi

Step-by-step explanation:

look at hers

Answer:

secT=

adjacent

hypotenuse

=

12

37

Step-by-step explanation:

HELPPP WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

15 by 2

Step-by-step explanation:

15 cubes in each layer with 2 layers

Answer:

Cubes in each layer: 15

Number of layers: 2

Volume : 30 cm^3

Step-by-step explanation:

It cost Erica $9.75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was Erica’s total profit?

Can i please get some help, I NEED A STEP BY STEP TO FULLY UNDERSTAND THE QUESTION AND YOUR ANSWER

Answers

Answer: $20.25

Step-by-step explanation:

If each cupcake is sold for $1, then all the cupcakes are sold together for $30. Now subtract 9.75 from 30 and you get 20.25.

Hope this helps :)

Question in pic plz help! ~

Answers

Im gonna label the long side of a rectangle a and the smaller side b.

For the perimeter, 2a + 2b = 34

For the area, a x b = 66

if a is 11 and b is 6, the equation for perimeter would be 22 + 12 = 34.

So a = 11 and  b = 6

Answer:

Longer side = 11

Shorter side = 6

Step-by-step explanation:

L x W = 66,  then W = 66/L

2L + 2W = 34

substitute for W:

2L + 2(66/L) = 34

2L + 132/L = 34

multiply both sides of the equation by L:

2L² + 132 = 34L

divide both sides by 2:

L² + 66 = 17L

L² - 17L + 66 = 0

factor:

(L - 11)(L - 6) = 0

L = 11 or L = 6

if L = 11, then W = 6

if L = 6 then W = 11

24 + 8x + 10(2x)
Terms:
Constants:
Coefficients:

Answers

terms: 24, 8x, 10(2x)
constants: 24
coefficients: 8, 10, 2

At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?

Answers

Answer:

The integer that represents the change in temperature is 17.

Step-by-step explanation:

Solve using elimination. 9x − 9y = –18 10x − 9y = –13

Answers

Answer:

y = 5, y = 7

Step-by-step explanation:

Solve for .

Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

43 +4 < 92 +8

Answers

Answer:

[tex]x > -\frac{24}{19}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{3}x + 4 < \frac{9}{2}x + 8[/tex]

Required

Solve for x

Collect like terms

[tex]\frac{4}{3}x - \frac{9}{2}x < 8-4[/tex]

[tex]\frac{4}{3}x - \frac{9}{2}x < 4[/tex]

Take LCM

[tex]\frac{8x - 27x}{6} < 4[/tex]

[tex]\frac{-19x}{6} < 4[/tex]

Multiply by 6

[tex]6 * \frac{-19x}{6} < 4 * 6[/tex]

[tex]-19x < 24[/tex]

Divide by -19

[tex]x > -\frac{24}{19}[/tex]

Jonah has two small bags of assorted doughnuts. Each bag contains exactly 8 powdered doughnuts.
Bag 1 contains 20 total doughnuts.
Bag 2 contains 24 total doughnuts.
What is the probability of Jonah grabbing
a powdered doughnut from
Bag 1?

Answers

Answer:

There is a 40% probability of Jonah grabbing  a powdered doughnut from  Bag 1.

Step-by-step explanation:

Total number of doughnuts in the bag 1 =20

Total powdered doughnuts in each bag = 8

Probability of selecting powdered doughnut from  Bag 1 by Jonah =

[tex]\frac{8}{20} * 100\\40[/tex]%

1. What is ✓ 48 in simplified radical form?

Answers

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{48}[/tex]

= [tex]\sqrt{16(3)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]

= 4[tex]\sqrt{3}[/tex]

Help me please!!!!!!!!!!!!!!!

Answers

Answer:

reflection over y axis

Step-by-step explanation:

Which set of numbers is infinite?
A) integers between -4 and 7

B) whole numbers between 1 and 17

C) natural numbers between 5 and 10

D) irrational numbers between 10 and 30

Answers

Answer:

D). irrational numbers between 10 and 30

Math help me out this is tricky man hurry solve both

Answers

Answer:

1) a , b , c , e are ans....

2) a.F b.T c.F d.T

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