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3 years ago

Grace sold 5/8 of her stamp collection what is this amount as a decimal

Mathematics

1 answer:

Allisa [31]3 years ago

4 0

The answer is 0.6250000 as a decimal. Hope this helps

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You walk into a tall building and take the elevator up an appointment you have on the 7th floor they send you down two floors to

Ede4ka [16]

Answer:

The answer would be A because the person would go up 7 floors, go down 2, and go down five more.

Step-by-step explanation:

5 0

3 years ago

Waht is the value of ((2/3)^0)^-3

mestny [16]

Answer:

$\left(\left(\frac{2}{3}\right)^0\right)^{-3}=1$

Step-by-step explanation:

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(\left(\frac{2}{3}\right)^0\right)^{-3}=\left(\frac{2}{3}\right)^{0\cdot \left(-3\right)}\\=\left(\frac{2}{3}\right)^0\\=1$

Red

6 0

3 years ago

The formula S=3F-24 is used to calculate shoe size,S, from food length,F(in inches).which equation could be used to calculate fo

sp2606 [1]

Solving
S = 3F - 24
for F gives
S + 24 = 3F
(S + 24)/3 = F

The best choice is the last one:
F = (S + 24)/3

6 0

3 years ago

Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)

Artemon [7]

Answer:

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

Step-by-step explanation:

Let be $A = (-3,-6)$ and $B = (12, 4)$ endpoints of segment AB and $M$ a point located 7/10 the way from A to B. Vectorially, we get this formula:

$\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}$

$\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)$

By Linear Algebra we get the location of $M$ :

$\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)$

$\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A$

$\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot \vec B$

If we know that $\vec A = (-3,-6)$ and $\vec B = (12, 4)$ , then:

$\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)$

$\vec M = \left(-\frac{9}{10},-\frac{9}{5} \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)$

$\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5} \right)$

$\vec M = \left(\frac{15}{2} ,1\right)$

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

6 0

3 years ago

Solve by completing the square.

enot [183]

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

• take the coefficient of X

that is -8

• divide it by 2

-8 ÷ 2 = -4

• square that number

-4*-4 = 16

• then add it to both sides of the equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871

x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871

Step-by-step explanation:

8 0

3 years ago