Factor 64x2 – 80xy + 25y2 using the binomial theorem.
The binomial that was expanded is .
The exponent on the factored expression is .

Answer:

[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]

Answer:

m = .45

p = .45w

______

.45 = 9/20

Explanation:

m is the rate of change equal to the price over the weight or p/w.

Because this relationship is proportional, each weight divided by its corresponding price must equal the same fraction because it is constant.

We can prove this by dividing each price by its weight to find this proportion.

1.35/3 = 2.7/6 = 27/60 = 9/20 = 0.45

1.71/3.8 = 171/380 = 9/20 = 0.45

2.34/5.2 = 234/520 = 117/260 = 9/20 = 0.45.

Since equal the same value, this means that 9/20 or .45 is our proportion.

in terms of p = mw

p/w = 9/20.

p = mw → p/w = m → m = p/w = .45 .

Thus, p = .45w,

so m = .45.

Which means that for every .45 or 9/20 w or weight, there is a price of $1.

Answer:

30

Step-by-step explanation:

discounting by 20% is the same as marking to 80% of the original cost. 80% = .8

set up equation and solve

.8x=24

x=30

Answer:

ohh

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

It is asking you to simplify the ratio, although it gave the unsimplified ratio to you below the diagram.

1/5=3/15

HTH :)

Answer:

A and B

Step-by-step explanation:

Answer:

c. x=-25 is the answer

(5x+75)

- (3x+25 )

=2x +50

×=-25

Answer:

A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10

Step-by-step explanation:

A)

Number of cards per suit = 13

Nunber of suits = 4

Probability = required outcome / Total possible outcomes

P(1) = probability of picking a card from a certain suit

P(1) = 13 / 52

Hence, probability that 2nd card will be from a suit different from the first :

Total possible outcomes = (52 - 1) = 51

Required outcomes = (13 * 3) = 39

= 39 / 51

= 0.7647

B.)

First toss being head :

Required outcome = H = 1

Total possible outcomes = T or H = 2

P(H) = 1/ 2

For 5 tosses

Total possible outcomes = 2^n = 2^5 = 32

Exactly 2 heads = 10

P(exactly 2 heads) = 10/32 = 5/16

1/2 + 5/16 = (8 + 5) / 16 = 13/16

c)

1 - P(both top and bottom are hearts)

Number of hearts = 13 ; number of cards = 52

P(both are hearts) = 13/52 * 12/51 = 0.05882

1 - 0.05882

= 0.94117

= 0.9412

d)

Either all marbles are red OR all marbles are green OR all marbles are blue

Total number of marbles = (20 + 20 + 20) = 60

Probability that all 15 marbles are of a certain color :

(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)

(2.9146E−10) + (2.9146E−10) + (2.9146E−10)

= 8.7438E−10

= 8.743 * 10^-10

Answer:

160

Step-by-step explanation:

Using Exterior angle theorem

30+130=160

Answer:

4 hours

Step-by-step explanation:

Answer:

the answer is 4 HOURS

Step-by-step explanation:

i took the exam

Answer:

6x - 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Define

3(2x - 6)

Step 2: Expand

Step-by-step explanation:

[tex] \huge3(2x - 6) = 6x - 18[/tex]

Answer:

First one is the graph second one is the equation

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

as graphed

Answer:

5 3/4 hours

Step-by-step explanation:

They drove 3 1/2 hours then  2 1/4 hours. We need to find the total of these to find how long this part of the trip was

(3 + 1/2) + (2 + 1/4) = 5 + 1/2 + 1/4

For 1/2, we can multiply both the numerator and denominator by 2 to get

1/2 = 2/4

Substituting that in, we get

5 + 2/4 + 1/4

= 5 + 3/4 hours

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Tis will be your answer :D

Answer:

the answer i H.

Step-by-step explanation:

you just multiply the numbers and get -77.625 which simplifies to -77 5/8

Answer:

apple

Step-by-step explanation:

Answer:

A, C, B, respectively

Step-by-step explanation:

science(density and buoyancy)

Answer:

22.97

Step-by-step explanation:

Given that,

Initial temperature = 74°

After some time, the new temperature = 91°

We need to find the percent increase in the temperature.

The formula for the percentage increase is given by :

[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{91-74}{74}\times100\\\\=22.97\%[/tex]

So, the increase in temperature is 22.97%.

Answer:

1.8ft/s

Step-by-step explanation:

Using the formula for calculating Speed as shown:

Speed = Distance/Time

Time = Distance/Speed

t = d/s

Given

d1 = 25 foot

s1 = 3ft/s

d2 = 15ft

Required

s2

Using the formula;

d1/s1 = d2/s2

s2 = s1d2/d1

s2 = 3*15/25

s2 = 45/25

s2 = 1.8ft/s

Hence the rate of change between the bottom of the ladder and the wall is 1.8ft/s

Answer:

Step-by-step explanation:

2.50

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

If Nancy has to buy an item that cost $30 with a 5% off and Ninda has to buy an item that cost $25 with a 10% off.

The difference between individual pay is $6.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Nancy:

Coupon = 5% off

Cost of the purchase = $30

Amount to pay:

= 30 - (5/100) x 30

= 30 - 30/20

= 30 - 1.5

= $28.5

Linda:

Coupon = 10% off

Cost of the purchase = $25

Amount to pay:

= 25 - (10/100) x 25

= 25 - 2.5

= $22.5

The difference between individual pay:

= 28.5 - 22.5

= $6

Thus

The difference between individual pay is $6.

Learn more about percentages here:

https://brainly.com/question/11403063

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;

Answer:

there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2

Step-by-step explanation:

a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .

9514 1404 393

Answer:

  AE = CE = 23; BE = DE = 20

Step-by-step explanation:

Put the values of the variables in their place and do the arithmetic.

  AE = 2u+5 = 2(9) +5 = 23

  BE = 6v-1 = 6(3.5) -1 = 20

  CE = 3u-4 = 3(9) -4 = 23

  DE = 8v-8 = 8(3.5) -8 = 20

The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.

Answer:

5√z/z

Step-by-step explanation:

i took the test(:

The quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is  [tex]\frac{5\sqrt{z} }{z}[/tex].

Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

Given

[tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex]

Rewrite as fraction: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{16z^{7} } }[/tex]

Factor and rewrite the radicand in exponential form: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2}. z^{6} .z} }[/tex]

Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex] :

= [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2} .\sqrt{z^{6}.\sqrt{z} } } }[/tex]

Simply the radical expression, we get:

= [tex]\frac{20z^{3} }{4z^{3}\sqrt{z} }[/tex]

Reduce fraction to the lowest term by canceling the greater common factor, we get

= [tex]\frac{5}{\sqrt{z} }[/tex]

Rationalize the denominator

= [tex]\frac{5\sqrt{z} }{\sqrt{z} .\sqrt{z} }[/tex]

= [tex]\frac{5\sqrt{z} }{z}[/tex]

Hence, the quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is  [tex]\frac{5\sqrt{z} }{z}[/tex].

Find out more information about simplest radical form here

https://brainly.com/question/12966955

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Answer:

119

Step-by-step explanation:

Answer:

the boxes to the left should say 2 and and 10 and the box to the right should be 18

Step-by-step explanation:

Answer: 52

Step-by-step explanation: Friend me and yes that is right!

Hey there!

The formula is:

• m = rise / run

• m = y₂ – y₁ / x₂ – x₁

• y₂ = –6

• y₁ = 0

• x₂ = 0

• x₁ = 6

• Equation: “–6 – 0 / 0 – 6”

–6 – 0 = –6 ⬅️ numerator (TOP number)

0 – 6 = –6 ⬅️ denominator (BOTTOM number)

Equation: –6 / –6

SOLVE above and you will have your ANSWER.

–6 / –6 = 1 because double negatives makes a negative.

The slope of line that passes through your given points is: 1

Answer: 1 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

-2.75

Step-by-step explanation:

Subtract 7 by both sides to get -22 = 8z. Divide 8 on both sides. You get -2.75