The width of a singles tennis court is 27 feet. this is 1 foot more than 1/3 of the lenght. what is the length of the court

Answers

Answer 1

Answer: w = 27
1 + 1/3L = w
1 + 1/3L = 27
1/3L = 26
L = 78

i am a mathematics teacher. if anything to ask please pm me

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Let g(x)=x-3 and h(x)=x^2+6 find (h o g) (1)

Answers

$g(x)=x-3 \ \ \ and\ \ \ h(x)=x^2+6 \n\n(h \circ g) (1)=h\bigg (g(1)\bigg)=h\bigg(1-3\bigg)=h(-2)=(-2)^2+6=4+6=10$

$h \circ g=(x-3)^2+6=x^2-6x+9+6=x^2-6x+15$

What's the nearest tenth of 6.40

Answers

6.4
is your answer bhivlsFBCKJx

your answer is seven !!!!!!!!

Select all of the fractions that are equivalent to 2/3

Answers

Answer:

there's a lot:

Step-by-step explanation:

4/6,3/9,4/12,5/15,10/30,20/60,60/180.

this is the most i can do until i cant multiply anymore.

For the two weeks period, Jan earned $150 less than twice Tom's earnings. Together Jan and Tom earned $1380. How much did Tom earn?

Answers

The earnings of Tom is $510.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Let the earnings of Jan be x and

Let the earnings of Tom be y.

Jan earned $150 less than twice Tom's earnings,

⇒ $x=2y-150$ ------ (1)

Together Jan and Tom earned $1380,

⇒ $x+y=1380$ ------- (2)

Now substitute equation 1 in 2,

⇒ $2y-150+y=1380$

⇒ $3y=1380+150$

⇒ $3y=1530$

⇒ $y=(1530)/(3)$

⇒ $y=510$

Hence we can conclude that the earnings of Tom is $510.

Learn more about word problems here

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2x+150=1380
Subtract 150 to each side
2x=1230
Divide both sides by 2x
X=615
Tom earned $615

One half of the birds at the pet store are yellow. Tara buys one of the yellow birds. Then one third of the birds at the store are yellow. How many yellow birds were at the pet store before Tara bought one? Explain

Answers

$x - all\ birds\n \n (1)/(2) x \ -\ the\ yellow\ birds\n \n (1)/(2) x-1=(1)/(3) x\ \ /\cdot6\n \n 3x-6=2x\n \nx=6\ \ \ \Rightarrow\ \ \ (1)/(2) x=(1)/(2) \cdot 6=3\n \n Ans.\ 3\ yellow\ birds$

Well, y=ny
2(y-1)=ny
(where ny is not-yellow)
You get y=2y-2 or y=2. You had two yellow birds and two other types.

How would you find the real solution, by using the quadratic formula.
x^2-4x+2=0

Answers

$x^2-4x+2=0 \n \na=1 \n b=-4 \n c=2 \n b^2-4ac=(-4)^2-4 * 1 * 2=16-8=8 \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-4) \pm √(8))/(2 * 1)=(4 \pm √(4 * 2))/(2)=(4 \pm 2√(2))/(2)=(2(2 \pm √(2)))/(2)=2 \pm √(2) \n\boxed{x=2-√(2) \hbox{ or } x=2+√(2)}$

$x^2-4x+2=0\nx^2-4x+4-2=0\n(x-2)^2=2\nx-2=\sqrt2 \vee x-2=-\sqrt2\nx=2+\sqrt2 \vee x=2-\sqrt2$

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