Write all the factors of 32
Matj
Answer

Answer:

197 = 10(31-1) + a

197 = 300 + a

-103 = a

Answer:

x = 25

Step-by-step explanation:

x : (x+10) = 5:7

Fractional form

x / x+10 = 5/7

Cross multiply:

x * 7 = (x+10) * 5

7x = 5x + 50

7x - 5x = 5x + 50 - 5x

2x = 50

x = 25

Check:

25 : 25 + 10

25 : 35

25/35 = 5/7

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-Chetan K

Answer:

[tex]Area = 5a - a^2[/tex] [tex]inches\²[/tex]

[tex]Perimeter = 10\ inches[/tex]

Step-by-step explanation:

Given

Length = a

Width = 5 - a

Required

Determine the Area and Perimeter;

Calculating Area

Area is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute values for Length and Width

[tex]Area = a * 5 - a[/tex]

[tex]Area = a * (5 - a)[/tex]

Open Bracket

[tex]Area = 5a - a^2[/tex]

Calculating Perimeter

Perimeter is calculated as thus;

[tex]Perimeter = 2 (Length + Width)[/tex]

Substitute values for Length and Width

[tex]Perimeter = 2 (a + 5 - a)[/tex]

Collect Like Terms

[tex]Perimeter = 2 (5 + a- a)[/tex]

[tex]Perimeter = 2 (5)[/tex]

Open Bracket

[tex]Perimeter = 10\ inches[/tex]

Answer:

x = 55.8

Step-by-step explanation:

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

cos theta = adj / hypotenuse

cos x = 9/16

Taking the inverse cos of each side

cos^-1 (cos x) = cos^-1 (9/16)

x=55.77113

To the nearest tenth

x = 55.8

Answer:

Relative to x, the side of 16 is the hypotenuse, and the side of 9 is adjacent.

So we think, what trigonometric property relates hypotenuse and adjacent sides of a right triangle?

SOH CAH TOA

We can use the COSINE function to solve in this case, as we have both  the ADJACENT SIDE (A) and the HYPOTENUSE (H).

Cosine = Adjacent/Hypotenuse

Cosine (x) = 9/16

Angle x = 55.8 degrees.

Let me know if this helps!

Answer:

A. 418, 418

Step-by-step explanation:

The formula to convert miles to meters is the following:

1 = 1,609.34

so for every 1 mile, you have 1,609.34 meters

so you take your distance in miles and multiply it by 1,609.34

d= 260 x 1,609.34

d = 418, 428.4

Answer:

∠ ABC = 125°

Step-by-step explanation:

∠ ABC = ∠ ABD + ∠DBC that is

∠ ABC = 65° + 60° = 125°

Answer:

0.0005m^3

Step-by-step explanation:

V=1/3hπr²

h=6m

d=12m

r=12÷2=6m

V=1/3×6×(3.14)×36

V=1/2034.72

V=0.0005m^3

Answer:

y=(3/7)*x+52/7

Step-by-step explanation:

The slope of the line will be (3/7). The equation of line will be y=(3/7)*x+52/7

Answer:

60 Feet =  18.288 Meters

Step-by-step explanation:

foot = 12 inch = 0.3048 m

0.3047 × 60

18.288 meters

Answer:

308/5

Step-by-step explanation:

It can be Written as

= 7 ×(8 + 4/5 )

= 7 × 8 + 7 ×   4/5

= 56 +  28/5

= 280+28

________

       5  

=  308/5

Answer:

The AP is 1, 11/2, 10, 29/2, 19, ....

Step-by-step explanation:

Let the first term be a and d be the common difference of the arithmetic progression.

ATQ, a+2d+a+6d=38, 2a+8d=38 and a+8d=37. Solving this, we will get a=1 and d=9/2. The AP is 1, 11/2, 10, 29/2, 19, ....

Answer:

The events are independent.

The probability of showing heads on both toss is equal to 1/2

Step-by-step explanation:

The sample space for this experiment consists of 2⁴= 16 sample points, as each toss can result in two outcomes we assume that the events are equally likely.

Two events are independent in the sample space if the probability of one event occurs, is not affected by whether the other event has or has not occurred.

In general the k events are defined to be mutually independent if and only if the probability of the intersection of  any 2,3,--------, k  equals the product of their respective probabilities.

P (A∩B) = P(A). P(B)

P (A∩B)   = 1/2. 1/2= 1/4

                                                                  Head          Tail

 P(E1)= 1/2  ----------          Coin 1               H,H              T,H

                                                                1/4                  1/4

  P(E2)= 1/2  ---------------  Coin 2             H, H               H,T

                                                                      1/4           1/4

So the events are independent.

The probability of showing heads on both toss is equal to 1/2

The sample space for this experiment consists of 2⁴= 16 sample points, out of which eight will have heads on both toss.

Or in other words ( 1/4* 1/4) = 2/4 = 1/2

Answer:B

Step-by-step explanation:

Answer: it says that if two different paths connect the same two points.

Step-by-step explanation:

It says that is two different paths connect the same two points, and a function holomorphic everywhere in between the two paths, then the two path integrals of the functions will be same.

Answer:

131.2 gallons

Step-by-step explanation:

1)16/5= 3.2 gallons - of water are lost in 1 hour;

2)3.2*41=131.2 gallons

Answer:

770,7272727272727

Step-by-step explanation:

Answer:

8478 divided by 11= 770.7272727

An expression is a set of numbers, variables, and mathematical operations. The correct option is C, r² + 1.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Since real numbers contain positive integers, negative integers, positive decimals, negative decimals, and zero.

Therefore, For any real number r, the expression that will be always greater than r will be (r²+1). This is because,

Hence, the correct option is C, r² + 1.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ5

Answer:

21

Step-by-step explanation:

√1500 ≈ 38.7

round that up to 39 and square it:

39² = 1521

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Here is the equation

[tex]20+3\times(7+4)+5+2\times(7+9)[/tex]

In the order of operations parentheses go first so we get

[tex]20+3\times11+5+2\times16[/tex]

Next we do the multiplication

[tex]20+33+5+32\\[/tex]

And finally we add them all up

[tex]20+33+5+32=90\\[/tex]

Thus, 90 is the answer of [tex]20+3\times(7+4)+5+2\times(7+9)[/tex] or [tex]20+3(7+4)+5+2(7+9)[/tex]

9514 1404 393

Answer:

  after 32 minutes

Step-by-step explanation:

They will both cross the start line together after each has completed a number of full laps in the same time that the other has completed an integer number of full laps. That time will be the least common multiple (LCM) of their lap times, 128 seconds and 120 seconds.

The difference of these times (8 seconds) is also a divisor of both times, so that value is the greatest common divisor (GCD) of the two lap times. The LCM can be figured as ...

  LCM(120, 128) = 120×128/GCD(120, 128)

  LCM = 120×128/8 = 1920 . . . . . seconds

Converting this to minutes, we get ...

  (1920 s)/(60 s/min) = 32 min

They will next cross the start line together after 32 minutes.

Answer:

a) 6.00

b) 3.00

c) 1.50

Step-by-step explanation:

Sample error of the mean is expressed mathematically using the formula;

SE = σ /√n where;

σ  is the standard deviation and n is the sample size.

a) Given σ = 18, n = 9

Standard error of the mean = σ /√n

Standard error of the mean = 18/√9

Standard error of the mean = 18/3

Standard error of the mean = 6.00

b) Given σ = 18, n = 36

Standard error of the mean = σ /√n

Standard error of the mean = 18/√36

Standard error of the mean = 18/6

Standard error of the mean = 3.00

c) Given σ = 18, n = 144

Standard error of the mean = σ /√n

Standard error of the mean = 18/√144

Standard error of the mean = 18/12

Standard error of the mean = 3/2

Standard error of the mean = 1.50

Answer:

8 pounds of cheaper candy,

17.5 pounds of expensive candy

Step-by-step explanation:

Let's define some variables. Let's say the amount of pounds of candy that sells for $2.20/lb is x, and the $7.30 is y. Now we can write some equations!

x + y = 25.5

[tex]\frac{2.2x + 7.3y}{25.5} = 5.7[/tex]

We can start substitution. We can say that x = 25.5 - y. Plugging this into our second equation, we get:

y = 17.5

Plugging this in, we find that:

x = 8.

Answer:

First find the number of Mango and oranges. 400 divided by 8 = 50. We use 8 because it is the whole part of the percentage. Since, there is 3/8 mangoes, multiply 50* 3= 150 mangoes and 50*5= 250 oranges.

2/3 of 150=100 mangoes. You would find this by dividing 150/3=50 then multiply by 2.

4/5 of 250= 200 oranges. You would find this by dividing 250/5=50 then multiply by 4.

$.40*100= $40.00 mangoes

$.60*200= $120.00 oranges

Mr. Mead would make $160.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, "the constant term has been written on the right side", it means that we add 18 to both sides to get.

[tex]x^2+3x-18=0\\\\x^2+3x=18\\\\\text{We can see the beginning of } (x+\dfrac{3}{2})^2 \\\\x^2+3x=(x+\dfrac{3}{2})^2-\dfrac{3^3}{2^2}=18\\\\(x+\dfrac{3}{2})^2=18+\dfrac{9}{4}=\dfrac{18*4+9}{4}=\dfrac{81}{4}[/tex]

Hope this helps.

Thank you.

Answer:

2.25.

Step-by-step explanation:

x^2 + 3x - 18 = 0

First, we need to write the constant on the right of the equation. So, we add 18 to both sides.

x^2 + 3x = 18.

Now, we find the number that will complete the square. It will be [tex](\frac{b}{2} )^2[/tex].

In this case, b = 3.

[tex](\frac{3}{2} )^2[/tex]

= (1.5)^2

= 2.25.

So, the number that will complete the square to solve the equation is 2.25, or 2 and 1/4, or 9/4.

Hope this helps!

When an adult is 189cm tall, his predicted weight in kg is 84.89kg

We have y = -106+1.01x. This is the regression equation

we are to find y(weight) given that x (height) is 189 cm

y = -106 + 1.01x

y = -106+1.01*189

y = -106+190.89

y = 84.89 kg

In conclusion, when height is 189cm, weight is 84.89 kg

Here is a similar question https://brainly.com/question/16105209?referrer=searchResults.

Answer:

432

Step-by-step explanation:

x=1hr (6x)=6hours x= 72 hours through train so (6x)=72x6=432

Answer:

y=-2x

Step-by-step explanation:

first find the slope: (-2-(-4))/(1-2)=2/-1=-2 so m=-2

now we have y=-2x+b, to find b we plug in any of the points

so the equation is y=-2x

Answer:

[-4+10+2. 0+25+3]

[10. 12]

[8. 28]

Option 3 is the solution

Answer:

A=1024 yd.^2

Step-by-step explanation:

A=s^2

Substitute,

A=32^2

So,

A=1024 yd.^2

Answer:

1024 yd²

Step-by-step explanation:

Since it's a square, the side lengths will all be the same length. Due to this, you can square the given value to find the area.

A(Square) = 32² = 1024