Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last month, how many tablespoons did she use this month?

Answer:  The width is 7 meters. The length is 10 meters.

Step-by-step explanation:   Area = Length × width

Length is 2w - 4  

Substitute that value for length, then solve for w.

70 = w(2w - 4)

70 = 2w² - 4w  reorganize to quadratic equation form

2w² - 4w -70 = 0   These are All even numbers; factor out 2 (divide all by 2)

w² - 2w - 35 = 0  factor this

(w - 7)(w + 5)    set each factor = 0 and calculate the value of w.

w+5=0  w= -5  (disregard this one because dimensions of real rectangles can't be negative)

w - 7 = 0  w = 7   The width is 7

Substitute into the original expressions to get the value of Length.

2(7) -4 = L    14 - 4 = L  The Length is 10.

Check by substituting into the original equation:

w × 2w -4 = 70

7 × 2(7) -4 = 70

7 × 10 = 70    TRUE!

w

Dimensions of the rectangle are length=10 meter and width= 7 meter

A rectangle is a quadrilateral with four right angles.

Given,

The length of a rectangle is 4 meter less than twice its width

Consider,

l is the length of the rectangle

w is the width of the rectangle

l=2w-4

Area of the rectangle = Length × Width

70=l × w

Substitute the value of l is the second equation

70=(2w-4)×w

[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]

Take 2 outside

[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]

w=7,-5

Hence w wont be negative value

Therefore w=7 meter

Then,

l×w=70

[tex]l=\frac{70}{7}\\[/tex]

l=10 meter

Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter

Learn more about rectangle here

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Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

∴ The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

∴ The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

∴ 4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

∴ 1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

∴ 1.50x = 3

→ Divide both sides by 1.50

∴ x = 2

∴ The person would have to play 2 games for the two bowling alleys to

   cost the same amount

Answer:

A. 7

Step-by-step explanation:

h(x)=2x + 4

2(7)=14

14+4=18

Answer:

2p = 18

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

Slope of l1=6\9 = 2\3

Slope of l2 =-3\2

perpendicular lines

Answer:

perpendicular

Step-by-step explanation:

l1 slope= 2/3

l2 slope= 3/2

Answer:

1.66 or 1 and 2/3 fast

Step-by-step explanation:

Answer:

ಠ ,,ಠ

 ____

Step-by-step explanation:

because earth is round the amount of time it takes to eat a tortilla chip is honey bunches of oats.

Answer

-7

Step-by-step explanation:

opposite of 7

Answer:

D

Step-by-step explanation:

Protect economic freedom, so that a strong central government couldn't stop them from doing what they wanted to earn money.

***I hope this answer's correct. Plz lmk!!!

Answer:

C I think because it makes most sence sorry if wrong answer

Step-by-step explanation:

( I think this would be a diferent subject just saying)

hope this helps

Answer:

7

Step-by-step explanation:

Multiply the first collum by 7. It's basically unit rates

Answer:

7

Step-by-step explanation:

let the left column be x

let the right column be y

x is being multiplied by 7

so the ratio would be 7x=y

Answer:

3

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

do rise over run

rise is 3

run is 2

3/2

hope this helps <3

Answer:

slope is 1.5

Step-by-step explanation:

slope=rise over run

3/2=1.5

look at point

(1,-3) then go up 3 and right 2

lands in point

(3,0)

Answer:

They sold 142 adult tickets.

Step-by-step explanation:

120x3=360

142x9=1278

1278+360=1638

Answer:

PQ

SR

PR

Step-by-step explanation:

they are all going down while the others rise

Answer:

Step-by-step explanation:

me too

Answer:

1 right triangle and isosceles

2 acute triangle and scalene

3 equiangular triangle and equilateral

4 acute triangle and isosceles

5 obtuse triangle and isosceles

6 obtuse and scalene

7 equiangular triangle and equilateral

8 right triangle and isosceles

I'm not sure about the bottom part since I can't really see sorry.

Step-by-step explanation:

acute - when a angle is less than 90 degrees

Obtuse - when an angle is more than 90 degrees

Right - when angle is at 90 degrees also it will have a square in the triangle to let you know that it 90 degrees/right angle.

Scalene triangle - when side have an uneven length.

isosceles triangle - when two side are equals.

equilateral - when all sides are equal.

equiangular -  have all equal angles

Answer:

D I belive

Step-by-step explanation:

Answer:

i think its a

Step-by-step explanation:

Answer:

1,336 year (Approx)

Step-by-step explanation:

Half life of carbon 14 = 5,700 year

Equation used for carbon dating:

t = [5,700/In2]ln[N]

t = [5,700/In2]ln[85%]

t = [5,700/In2]ln[0.85]

t = 1,336 year (Approx)

Answer:

Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on. Many move on to study more complex concepts with a shaky foundation. We often end up with a weak structure that is doomed to collapse at some point.

Math is hard because it is a non-intuitive, non-natural activity. Math don't happen by chance only, it only happens with deliberate, focused work. For this you expend a lot of energy and cause a lot of mental strain, you put yourself on an uncomfortable condition for hours, days, sometimes weeks to solve a problem.

But some people love math, like me, because they study math more than others. If you study more and learn more about math, then you’ll start to feel more comfortable because you’ll be ahead of the class when your teacher teaches you something.

The most important thing is to keep trying and never give up.

Hope this helps! :)

Answer:

84g

Step-by-step explanation:

399÷19=21

21 x 4 = 84

Answer:

315

Step-by-step explanation:

Answer:

The answer is x= -4/3

Step-by-step explanation:

3(x-4)=12x

=3x-12=12x

=3x-3x-12=12x-3x

-12=9x

To find x divide both sides by 9.

-12÷9=9x÷9

-4/3=x

Answer:

The answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

9 and a half

Step-by-step explanation:

Answer:

-5 1/4

Step-by-step explanation:

Answer:

1=3.5 2=10/3

Step-by-step explanation:

they pass each other at the point (3.5,3).

if you find the exact form for both equations you get 10/3 for both