A rectangular banner has a length that is two feet shorter than twice its height, ℎ. If the expression ℎ(2ℎ−2) represents the area of the banner, what is the height of the banner whose area is 60

Answers

Answer 1

Answer:

h = 6

Step-by-step explanation:

Given he area of the banner expressed as;

A =  ℎ(2ℎ−2)

h is the height of the banner

A is the area = 60

Substitute

60 =  ℎ(2ℎ−2)

60 = 2h² - 2h

30 = h² - h

h²-h-30 = 0

Factorize;

h²-6h+5h-30 = 0

h(h-6)+5(h-6) = 0

(h-6)(h+5) = 0

h - 6 = 0 and h+5 = 0

h = 6 and -5

Since the height cannot be negative;

h = 6

Hence he height of the banner is 6


Related Questions

Triangle PQR is reflected across a line, P = (4,–5), and P’ = (–4, –5). What is the line of reflection?
the x-axis
the y-axis
the line y = x
the line y = –x

Answers

Answer:

it is b

Step-by-step explanation:

edge2021

Carter has a piece of rope that is of a meter long. He
ties knots in the rope to divide it into 3 equal sections.
Use the expression
to find the length of each
section.
Each section of rope is meter long.

Answers

Answer:

1 foot

Step-by-step explanation:

1 meter = 3 feet

3 feet divided by 3 = 1 foot

The length of each section of the rope is 1 foot.

What is an expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.Many authors make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects.Solution -

The piece of rope is 1m long.

Carter divided the ropes into three equal parts by tying up the knot.

1 meter = 3 foot.

Therefore, divide 3 by 3.

[tex]\frac{3}{3} =1[/tex] foot.

Therefore, each section is 1 foot long.

Know more about expression here:

https://brainly.com/question/723406

#SPJ2

HELP ASAP PLEASEEEEE​

Answers

Answer:

can't

can

can't

can

Step-by-step explanation:

sum of all angles should equal 180

Answer:

I certainly can't help you

PLEASE HELP! INSTA BRAINLY

Answers

Answer:

1 makes 7 people full, 3 makes 5 people full

Step-by-step explanation:

1) A=b*h=33(22)=726 square inches. Would make 7 people full.

3)A=b*h=20(25)=500 square inches. Would make 5 people full

Please help. TYSM <3
The ratio of two numbers is 4 to 7. The sum of the numbers is 253. Find the
two numbers.

Answers

Answer:

28 and 49 are the two numbers whose sum is 77.

Step-by-step explanation:

Nick plans to start a home-based business producing and selling gourmet dog treats. He figures it will cost $20 in operating costs per week plus $0.50 to produce each treat. He plans to see each treat for $1.50. Graph y=0.5x+20 and y=1.5x to represent the situation

Answers

Answer: Nick needs to sell 20 treats to break even.

Jarry is making a strawberry smoothie which measure is greatest the amount of milk cottage cheese or strawberry

Answers

Answer:

Milk

Step-by-step explanation:

The amount of milk, cottage cheese and strawberries used are given in the attached picture.

3/4 cup of milk

2/6 cup cottage cheese

8/12 cup strawberry

Converting the fractions to decimal :

3/4 cup of milk = 0.75

2/6 cup cottage cheese = 0.3333

8/12 cup strawberry = 0.66666

0.75 > 0.6666 > 0.3333

We can conclude that amount of milk is greatest, then strawberry and the least is cottage cheese.

Fred is making a wooden box in the shape of a right rectangular prism. The dimensions of the box are 12 inches by 4 1/4 inches by 4 1/4 inches. What is the volume of the wooden box?

Answers

Answer:

867/4 in3

Step-by-step explanation:

v= l*w*h= 12* 17/4* 17/4

= 51*17/4 = 867/4 in3

if my answer helps please mark as brainliest.

Answer:

[tex]V=216\frac{3}{4} in^{3}[/tex]

Step-by-step explanation:

The formula for volume of a rectangular prism is V = w × h × l, where

V represents the volume

w represents width

h represents height

l represents length

So, all we have to do to find volume is multiply these three values together, like this:

V = 12 × [tex]4\frac{1}{4}[/tex] × [tex]4\frac{1}{4}[/tex]

[tex]V=(12)(\frac{17}{4} )(\frac{17}{4} )[/tex]

Then we multiply all the numerators:

[tex]V =\frac{867}{4}[/tex]

[tex]V=216\frac{3}{4} in^{3}[/tex]

Graph this equation :

y= 3/2 x + 2

Answers

answer: i can’t show you how to graph it but i suggest you look on calculator apps such as m a t h w a y s or. photo math

The slope of the line below is-2. Which of the following is the point-slope
form of the line?
10-
10
10
(4-8)
10-
A. y + 8 = -2(x-4)
B. y - 8 = -2(x + 4)
c. y - 4 = -2(x+8)
a
D. y+ 4 = -2(x-8)

Answers

Answer:

A

Step-by-step explanation:

y-y1 = m(x-x1)

Toy rubber balls are packaged in a cylinder that holds 3 balls. The diameter of each ball is 8.7 cm. Find the volume of the cylinder. Use 3.14 for t. The volume of the cylinder is about cm3 (Round to the nearest tenth as needed.) ​

Answers

Clever567890 answer with the chicken ny dude

             

Last night, Mandy ate 2/8 of a pizza. Today for lunch, she ate 3/8 of the pizza. What fraction of the pizza is left over? PLEASE I NEED THE ANSWER NOW

Answers

Step-by-step explanation:

its 3/8 because she has eaten 2/8+3/8=5/8 and 8/8-5/8=3/8 is left

How would you write 5^-3 as a fraction with no exponents ?

Answers

Answer:

1/ 125

Step-by-step explanation:

Answer:

Step-by-step explanation:

(53)−3. First, distribute the -3 in the exponent to the numerator and the denominator. (5−33−3) Because both of the exponents are negative=(35)3=27125

PLSSS HELP 40 POINTSS ILL SEND 30 MORE IF U HELPP PLSSS

The cost of the hiking trip this year is 2/3of the cost of last year's trip. This year's trip cost $32

1. Write an equation that represents the cost of last years trip.
2.What was the cost of last year's trip

Answers

Answer:

The equation is ( 32/2 ) × 3 = 48.

Step-by-step explanation:

In order to find the answer, we must find one third of last years trip. To do this, we can simply divide the cost of this year's trip by two, 32/2=16.

Now if we multiply this years trip by 3, 16×3=48, we can see that the total cost of last years trip was $48.

If we'd like to turn this into a equation, it looks like this:

( 32/2 ) × 3 = 48.

can anyone please help me with this question? (no links!!)

Answers

Area of a circle = (pi)(radius)^2.

If the diameter is 11, the radius is 1/2 of that, = 5.5

5.5 squared is 5.5 x 5.5 = 30.25
30.25 x 3.14 = 94.985 square inches

LMK if you have questions.

Can someone please help me 11 points ! If you don’t know add a comment don’t answer !!

Answers

Step-by-step explanation:

In the 1st one,

They are parallel linesThey both have the same slopeThe y intercepts are differentThey will have 0 solutions.

E.x

[tex]2x + 5 = 2x + 3[/tex]

In the 2nd one,

They are intersecting linesThe slope is differentThe y intercepts are differentThey will have 1 solutionE.x[tex]2x + 6= 5x + 5[/tex]

This equation will have only 1 solution if you solve it.

In the 3rd one

They are coincident linesThey have the same slopeThey have the same y interceptThey have infinite solutions

E.x

[tex]2x + 9 = 2x + 9[/tex]

You can plug any x value into the problem and it would be true.

The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule?

Answers

Answer:

You keep adding 15.

Step-by-step explanation:

5+15=20

20+15=35

35+15=50

50+15=65

N a typical 2-pound bag of M&Ms contains 500 individual pieces, of which... 120 are blue, 70 are brown, 80 are green, 100 are orange, 60 are red, and 70 are yellow. If I randomly select one M&M candy from the bag, what is the probability that candy will be red?

Answers

Answer:

0.12

Step-by-step explanation:

Number of red candies = 60

Total number of candies = 500

Recall :

Probability of event A = number of occurrences of A / total number of occurences

= required outcome / Total possible outcomes

The probability of randomly selecting a red candy is :

= number of red candies / total number of candies

= 60 / 500

= 0.12

Una garrafa de aceite equivale a 5 botellas y 3 garrafas es igual a 7, las cuales suman 11 litros, ¿Cuál es las capacidad de una botella y una garrafa?

Answers

Respuesta:

Botella, B = 0.5

Jarra, C = 2,5

Explicación paso a paso:

Dejar :

Garrafa = C

Botella = B

C = 5B - - - - 1)

3 garrafas más 7 botellas = 11 litros

3C + 7B = 11

C = 5B

3 (5B) + 7B = 11

15B + 7B = 11

22B = 11

B = 11/22

B = 1/2 = 0,5

Sustituyendo B = 0.5 en 1)

C = 5B

C = 5 (0,5)

C = 2,5

Which shows a rational number plotted correctly on a number. line

Answers

Answer:

If this is the question you are referring to, then the answer is B, which is already highlighted for your convenience.

Answer:

a

Step-by-step explanation:

Determine which number is a solution of the inequality. j+8 ≤ 8; 0, 1, 2

Answers

Answer:

The solution to the inequality is 0.

One point on a line is (4, 6). The slope of the line is 3/4. Choose all of the following that could be another point on the line.
a. (0, 3)
b. (-8, -3)
c. (0, -3)
d. (-8, -1)
e. (12, 12)

Answers

The answer is d. I believe it was for mine

Help please, and don't comment just to get the points :(

Answers

Answer:

60 degrees

Step-by-step explanation:

As the triangle is similar angle don't change so 50+70=120 and the angle of a triangle total to 180 so 180-120=60

Answer:

60°

Step-by-step explanation:

As it is said that the triangles are similar so In the similar triangles corresponding angles are equal so

< A = 50°

<E = 70°

< B = < E = 70° { being corresponding angles of similar triangles }

Now

< A + <B + < C = 180° {Being sum of angles of triangle }

50° + 70° + < C = 180°

< C = 180° - 120°

< C = 60°

Hope it will help :)❤

What package is the Best Buy?

Answers

Answer: The answer is 8 lb for $18.80

That is the answer because you have to divide in order to see which is the best buy

You have to divide $4.98 by 2lb and you will get 2.49, divide $12.25 by 5lb which equals 2.45, divide $18.80 and you will get 2.35, divide $23.70 by 10lb and you will get 2.37. So therefore you answer is C.8lb for $18.80 because 2.35 is better than the other deals.

Step-by-step explanation:

Hope this helps !

write a function with an initial value of 5 and increasing exponentially by 18%.

Answers

Answer:

f(x)=5(1.18)^x

sorry it isn’t real text but it’s because i couldn’t explain it well.. but pls help when you can!!

Answers

Answer and Step-by-step explanation:

10 and 20 are the initial amounts, so they don't get a variable. The 3 dollars and 2 dollars every mile gets the variable since the occur every mile.

The equations are:

Blank 1: 3x + 10

Blank 2: 2x + 20

To find when they are equal, we equal the equations together.

3x + 10 = 2x + 20

x = 10

Plug 10 into either equation and solve.

Blank 3: 10 (At 10 miles, the equations are equal)

Blank 4: $40 (The will equal $40)

I hope this helps!

#teamtrees #PAW (Plant And Water)

which ordered pair represents the points at which line r and line s intersect?

A. (1.5 , 0.5)
B. (9.375 , 38.75)
C. (12.5 , 23.75)
D. (15, 27.5)

Answers

Answer:

C. (12.5 , 23.75)

Step-by-step explanation:

solve for x
x^9=12^2x12^7

Answers

Answer:

12

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

[tex] {x}^{9} = {12}^{2} \times {12}^{7} [/tex]

Here we can simplify this further using this law,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

So we will get,

[tex] {x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9} [/tex]

Since the powers are same we can cancel it out and we will get,

[tex]x = 12[/tex]

(Hope this answer helped :))

Which number is a prime number? 2 4 14 24

Answers

Answer:

the prime number is 2. very simple

Answer:

2

Step-by-step explanation:

any whole number x any whole number cant be 2

I NEED HELP WITH THIS one angle of a triangle measured 145 degrees. The other two angles are in a ratio of 2:3. what are the measures of those two angles?

Answers

Answer:

Step-by-step explanation:

A triangle has 180 degrees in total. One of the angles are 145 degrees, so we can subtract and get 35 degrees. Then, it says that the remaining angles are in a ratio 2:3. So, we would have:

[tex]2x:3x = 35 \\2x+3x = 35\\5x=35\\x=7[/tex]

Now that we know what x is, we can multiply that to our ratio:

[tex]2\cdot7=14 \text{ degrees for the first angle}\\3\cdot7=21 \text{ degrees for the second angle }[/tex]

Hope this helps!!!!!!!
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