Write 543 000 in standard form.

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Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

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An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

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Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

Answer:

2/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2 * 2 * 2 * 2 * 2 * 2

4 * 16

8 * 8

Step-by-step explanation:

Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression can be written as,

2⁶ = 2 × 2 × 2 × 2 × 2 × 2

   = 4 × 16

   = 8 × 8

Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.

Learn more about Power here:

https://brainly.com/question/23432317

#SPJ2

Use desmo.com

its really helpful

Answer: 6+y < -16

Step-by-step explanation:

Answer:

3)Quadratic

Step-by-step explanation:

Brainliest?

Answer:

three thousand dollars

Step-by-step explanation:

you round up to 3000

Step-by-step explanation:

cosA = AC² + BC²- AB² / 2 • AC • BC

cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9

Answer:

Euler's formula for polyhedron is:

As per the above formula the relationship between the vertexes, edges and faces is same for any polyhedron.

Lets confirm, have a look at the picture

(a) Tetrahedron, count each element:

Verify

(b) Hexagonal prism, count each element:

Verify

Answer:

if you mean to the tens place, then its 5,940

Step-by-step explanation:

Answer:

5940

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

9.5_<w<9.25

Step-by-step explanation:

Answer:

7 + L + 3 = L + 10

Step-by-step explanation:

Answer:

where is the diagram? please provide the diagram.

Answer:

1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

1) The zero based on (-16·t - 2) = 0, is given as follows;

(-16·t - 2) = 0

∴ t = 2/(-16) = -1/8

t = -1/8 second

The zero based on (-16·t - 2) is t = -1/8 second

2) The zero based on (t - 1) = 0, is given as follows;

(t - 1) = 0

∴ t = 1 second

The zero based on (t - 1) is t = 1 second

Answer:

Step-by-step explanation:

-2x - 14 > -4 + 3x

subtract 3x from both sides

-5x - 14 > -4

add 14 to both sides

-5x > 10

divide both sides by -5

x < -2

The answer would be -5x > 10.

This is because our last inequality was -5x - 14 > -4 so we add 14 to both sides and it would look like this -5x (-14 + 14) > (-4 + 14) which would transition into our next inequality -5x > 10.

So therefore the answer would be -5x > 10.

Answer:

$0.231

Step-by-step explanation:

Given data

P= $77

r= 16%

t= 6 months= 0.5 years

For simple interest

A= P(1+rt)

A=77(1+0.16*0.5)

A= 77(1+0.08)

A= 77*1.08

A= $83.16

For compound interest

A=P(1+r)^t

A= 77(1+0.16)^0.5

A= 77(1.16)^0.5

A= 77*1.077

A= $82.929

The difference is

=83.16- 82.929

=$0.231

Answer:

64

Step-by-step explanation:

you divide 256 four times

In my knowledge

2 × 8 + 5 = 21

Hope it helps ;)

Answer:

Hypotenuse (x) = 7.27

Step-by-step explanation:

cos57*=4cm/x

cos57*/cos57*=4/cos57*

x=4/cos57*

cos57*~.55

x=4/.55

x=7.27

Answer:

$758 per week

Step-by-step explanation:

15.16 x 50 = 758

Answer:$758 per week

Step-by-step explanation:Answer:15.16 x 50 = 758

Answer:

y = 25.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos y = adjacent/ hypotenuse

cos y = 18/20

Take the inverse cos of each side

cos ^-1 (cos y) = cos^-1(18/20)

y =25.84193276

Rounding to the nearest tenth

y = 25.8

Step-by-step explanation:

=( n-2)180

= ( 4 - 2 )180

= 360

So, 144 + 90 + m<2 +m<1 = 360

144 + 90 + 85 + m<1 = 360

319 + m<1 = 360

m<1 = 360 - 319

m<1 = 41

their is an unknown angle so let's call it x

let's find x first ( m<6=49)

x + m<6 = 180

x + 49 = 180

x = 180 - 49

x = 131

Now let's find m<7

m<7 + 38 + m<4 + x = 360

m<7 + 38 + 85 + 131 = 360

m<7 + 254 = 360

m<7 = 360 - 254

m< 7 = 106

Answer:

(-.5)

Step-by-step explanation:

Answer:(6,2)

Step-by-step explanation:

Photomath

Answer:

x=6

y=2

(x,y)=(6,2)

.................................

Answer:

1.  144  2. 16 3. 1   4. 3x-6  

Step-by-step explanation:

So think of this as a function in a function.  So you work from the inside to the outside.  So for problem 1, we start with f(4)) [you read it "f of 4"] so what is the solution when x = 4, since f(x) means the function of x so f(4) means 'the function of 4' inside f(x).  

Since f(x) = 3x then f(4) = 3(4) [notice how you substitute the 4 everywhere you see a letter x]

so f(4) = 12, now you work the next part h(f(4)) since f(4)=12 then h(12)

So take the h(x) function which is h(x) = [tex]x^{2}[/tex] then h(12) = [tex]12^{2}[/tex] so h(12) = 144

Answer:

Measure of 3rd angle is 80 degrees

angle SAX - angle PAX = measure of 3rd angle (SAP)

hence 141 - 61 = 80 degrees

hence measure of 3rd angle is 80 degrees

GOOD LUCK FOR THE FUTURE! :)

Answer:

1.1l

Step-by-step explanation:

350×3=1050cl

=1.05l

rounded to nearest hundredth=1.1l