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3 years ago

Solve. x/ 2 − 8 = x/ 5 + 2

Mathematics

1 answer:

cupoosta [38]3 years ago

5 0

Answer:

x 100/3

Step-by-step explanation:

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Vail Ski Shop received a $1,201 invoice dated July 8 with 2/10, 1/15, n/60 terms. On July 22, Vail sent a $485 partial payment.

suter [353]

A)
100%-1%=99%=0.99
485/0.99=489.9
489.9 is the amount of payment to be credited

B)
1,201−489.9=711.1 is the balance outstanding

3 0

3 years ago

Help! At the city museum, child admission is $6.60 and adult admission is $9.70. On Friday, 136 tickets were sold for a total sa

nadezda [96]

I hope this helps you

7 0

3 years ago

Q. # 16 Solve the equation

Blababa [14]

33 = p -6.71

To solve for P, add 6.71 to each side:

p = 33 + 6.71

p = 39.71

The second choice is correct.

7 0

3 years ago

Read 2 more answers

Find a polynomial of the form

Sloan [31]

Answer:

$f(x)=-\frac{1}{4}x^3-\frac{1}{6}x^2+\frac{65}{12}x-3$

Step-by-step explanation:

We are given that

$f(x)=ax^3+bx^2+cx+d$

f(0)=-3,f(1)=2,f(3)=5 and f(4)=0

We have to find the polynomial

Substitute the value x=0 then ,we get

f(0)=d=-3

Substitute x=1 then we get

$a+b+c-3=2$

$a+b+c=2+3=5$

$a+b+c=5$ (equation I)

Substitute x=3 then we get

$a(3)^3+b(3)^2+c(3)-3=5$

$27a+9b+3c=5+3=8$

$27a+9b+3c=8$ (Equation II)

Substitute x=4 then we get

$a(4)^3+b(4)^2+c(4)-3=0$

$64a+16b+4c=3$ (Equation III)

Equation I multiply by 3 then subtract from equation II

$24a+6b=-7$ (Equation IV)

Equation II multiply by 4 and equation III multiply by 3 and subtract equation II from III

$84a+12b=-23$ (Equation V)

Equation IV multiply by 2 and then subtract from equation V

$36a=-9$

$a=-\frac{9}{36}$

$a=-\frac{1}{4}$

Substitute the value of a in equation IV then we get

$24(-\frac{1}{4})+6b=-7$

$-6+6b=-7$

$6b=-7+6=-1$

$b=-\frac{1}{6}$

Substitute the value of b in equation I then we get

$-\frac{1}{4}-\frac{1}{6}+ c=5$

$-\frac{5}{12}+c=5$

$c=5+\frac{5}{12}=\frac{65}{12}$

Substitute the values then we get

$f(x)=-\frac{1}{4}x^3-\frac{1}{6}x^2+\frac{65}{12}x-3$

5 0

4 years ago

Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long.

Nady [450]

Answer:

0.9 inches

Step-by-step explanation:

The sides of right triangles follow the Pythagorean Theorem:

a² + b² = c²

"a" and "b" are the two shorter sides and "c" is the hypotenuse, the longest side.

Let's plug in what we know.

a² + b² = c²

(1.2)² + b² = (1.5)²

Let's solve the exponents.

1.44 + b² = 2.25

Subtract 1.44 from both sides.

b² = 0.81

Take the square root of both sides.

√b² = √0.81

b = 0.9

The second side will be 0.9 inches.

8 0

3 years ago