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3 years ago

How much shorter is a 7 foot 3 inch long board than a 13 foot long board?

Mathematics

2 answers:

rodikova [14]3 years ago

7 0

Answer:

5 foot and 7 inches longer.

Step-by-step explanation:

13 - 7.3 = 5.7

AnnZ [28]3 years ago

6 0

Answer:

It would be 5 foot 9 inches shorter.

Step-by-step explanation:

You need to subtract 7 foot 3 inches from 13 feet. To make this simpler, you can turn the feet into inches. So multiply the 7 be 12, and add 3. 87 inches. Now you need to turn the 13 feet into inches, so multiply the 13 by 12 (because there is 12 inches in 1 foot) That gives you 156. Now subtract,

156-87.

This gives you 69 inches. All you need to do know is convert that into feet. And that gives you 5 feet and 9 inches. So, the board is 5 feet and 9 inches shorter that the long board.

And to check this, you can simply add 5 feet 9 inches to 7 feet 3 inches. Which gives you 13 feet in total.

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Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
$64-80+c=12$
$c=12+80-64$
$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

2 years ago

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francos dad is three times his age. in 10 years, francos dad will be twice francos age plus 2. How old are franco and his dad no

konstantin123 [22]

Let

Y be the age of Franco's dad.
X Franco's age

Y = 3*X (1)
(Y +10) = 2*(X+10) +2 (2)

(3*X +10) = 2*X +20 +2

(3-2)X = 22 -10

X = 12 years old (Franco)

Y = 3*12 = 36 years old (Franco's dad)

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2 years ago

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What is the slope and y-intercept of the line 2x + 3y = 12

sdas [7]

Answer:

2/3 is the slope and 4 is the 4 intersept

Step-by-step explanation:

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2 years ago

(PLEASE ANSWER: TIMED)The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I(dB)=1

Mrac [35]

For this case we have the following equation:
$l(dB) = 10log( \frac{l}{lo} )$
We must replace the following value in the equation:
$l = 10^8lo$
Substituting we have:
$l(dB) = 10log( \frac{10^8lo}{lo} )$
Simplifying the given expression we have:
$l(dB) = 10log(10^8)$
Then, using logarithm properties in base 10, we can rewrite the expression:
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Please answer this correctly

Ymorist [56]

B; 25.65+13.23+6.35=45.23

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