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2 years ago

Kayla has 14.5% of her salary placed into an Individual Retirement Account. What fraction is this?

Mathematics

1 answer:

Monica [59]2 years ago

4 0

1. Convert percent into decimal (it will help)
$14.5\% = .145$
2. Convert Decimal to fraction
$\frac{.145}{1000}$

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Geometry Question Help if you can please

docker41 [41]

Answer:

≈ 78.55 cm

Step-by-step explanation:

Using the ratio of arc (AB) to circumference (C) is equal to the ratio of angle subtended at centre by arc AB to 360°, that is

$\frac{AB}{C}$ = $\frac{110}{360}$ , that is

$\frac{24}{C}$ = $\frac{110}{360}$ ( cross- multiply )

110C = 8640 ( divide both sides by 110 )

C = $\frac{8640}{110}$ ≈ 78.55 cm ( to 2 dec. places )

5 0

2 years ago

What is the mass (in grams) of 8.11×1026 CO2 molecules?

Kobotan [32]

Answer:

It is 59,275.74 grams

Step-by-step explanation:

• Molecular mass of carbon dioxide

$= (12 \times 1) + (16 \times 2) \\ = 12 + 32 \\ = 44 \: g$

[ molar masses: C = 12 g, O = 16 g ]

• From avogadro's number, it says 1 mole contains 6.02 × 10^23 molecules or atoms.

But 1 mole is equivalent to its molar mass in terms of weight, therefore;

${ \sf{6.02 \times {10}^{23} \: molecules = 44 \: g }}\\ { \sf{8.11 \times {10}^{26} \: molecules =( \frac{8.11 \times {10}^{26} }{6.02 \times {10}^{23} } \times 44) \: g}} \\ \\ = { \boxed{ \boxed{ \bf{59275.7 \: \: g}}}}$

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2 years ago

How do you do this? Please give an example to #1 and explain thoroughly please. I have asked multiple times and gotten answers I

liberstina [14]

Answer:

y=2x

Step-by-step explanation:

y = kx is the format of the graph we are looking for (as told in the instructions) where k is the variable we are supposed to find (like y = x, y=2x, y=3x, etc)

Note that as x increases by 1, y increases by 2. We can see that by writing a table of the points of points that the line given intersects (picture below). We can see that by the values of the x-axis and the y-axis. Why does this happen? This is because y =2x for each value of x. We notice that in our table.

Therefore, the equation is y=2x. I hope this helps! If you still have questions, ask me in the comments!

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2 years ago

Divide 1170 denars in a ratio of 2: 3: 8.

balu736 [363]

Answer:

180:270:720

Step-by-step explanation:

total units-> 13u

1 unit -> 1170÷13=90

2u->90×2=180

3u->90×3=270

8u->90×8=720

3 0

2 years ago

Please help with step by step. Thank you

o-na [289]

Answer:

SU = 2
PX = 6 2/3

Step-by-step explanation:

The product of distances to the circle along a secant is the same for all secants intersecting a given point.

a. Secants SW and QT intersect at U. Thus ...

(UT)(UQ) = (US)(UW)

(1.5)(4) = (SU)(3)

SU = (4)(1.5)/3

SU = 2

b. Secants PT and PX intersect at P. Thus ...

(PQ)(PT) = (PR)(PX)

PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3

PX = 6 2/3

4 0

2 years ago