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Answer:

a + b

Step-by-step explanation:

ax + ay + bx + by

a(x +y) +b(x + y)

(a + b) ( x + y)

therefore (a + b) ( x + y) divide x+y

x + y is canceled out both in the denominator and numerator

= a+b

Answer:

a + b

Step-by-step explanation:

Answer: 10% of 65.9

Step-by-step explanation:

Answer:

19 - 2^(7/4)√3  or

13.174 to nearest thousandth.

Step-by-step explanation:

I am interpreting this as x^2 - 2√(2x) + 1

p(3√2) = (3√2)^2 - 2√(2*3√2) + 1

= 18 - 2√(6√2) + 1

= 19 - 2* √6 * 2^1/4

= 19 - 2*√2*√3*2^1/4

= 19 - 2^(7/4)√3.

=  13.174 to the nearest thousandth.

Answer:

1) 4

2) 2

3) 5

4) 8

Step-by-step explanation:

All you have to do in this question is to substitute what they are telling you.

First blank:

They told us that m is 0 so if we plug that into the equation we can get s.

[tex]2m+4s=16\\2(0)+4s=16\\4s=16\\s=4[/tex]

In this one if m is 0, s will have to be 4.

Second blank:

They told us that s is 3 so if we plug in that into the equation we can get m.

[tex]2m+4s=16\\2m+4(3)=16\\2m+12=16\\2m=4\\m=2[/tex]

In this one if s is 3, m will have to be 2.

Third blank:

They told us that m is -2 so if we plug that into the equation we can get s.

[tex]2m+4s=16\\2(-2)+4s=16\\-4+4s=16\\4s=20\\s=5[/tex]

In this one if m is -2, s will be 5.

Fourth blank:

They told us that s is 0 so if we plug into the equation we can get m.

[tex]2m+4s=16\\2m+4(0)=16\\2m=16\\m=8[/tex]

In this one if s is 0, then m will be 8.

Answer:

≥                                         closed dot

<                                           open dot

≤     less than or equal to   closed dot

There are the missing blanks

Answer:

Non of the above

Step-by-step explanation:

[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]

Answer:

D. Prime

I just took the test

Step-by-step explanation:

Answer:-44

Step-by-step explanation:

-16-(28)=-44

Answer:

-44

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

m - n

m = -16

n = 28

Step 2: Evaluate

Answer: -1/3x - 6

Step-by-step explanation: perpendicular lines have opposite reciprocal slopes

original slope of 3 —-> -1/3

then our point is (0, -6) let’s plug that into y=-1/3x+b

-6 = -1/3(0)+b

b= -6

put it all together: y = -1/3x -6

Answer:

3. the numbers between -5 and 5

Step-by-step explanation:

Let set A= [tex]\{x| x>-5\}[/tex] and set [tex]B=\{x | x<5\}[/tex].

The solution set of A and B is the solution set of A∩B

The solution set of A is all the real number x which is greater than -5.

The solution set of B is all the real number x which is less than 5.

Therefore, the solution set of A∩B is all the real numbers between -5 and 5.

Hence, option (3) is correct.

Answer:

2x-2=-4

5/8x3/5= 15/40 then u simplify and get -4 3/8

Answer:

a

Step-by-step explanation:

Given:

The graph of cost of taxi with respect to number of miles.

To find:

The formula for C in terms of n.

Solution:

In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).

From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]

[tex]y-3=\dfrac{3}{5}(x)[/tex]

Adding 3 on both sides, we get

[tex]y=\dfrac{3}{5}x+3[/tex]

Putting y=C and x=n, we get

[tex]C=\dfrac{3}{5}n+3[/tex]

Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].

Answer:

c=3/5n+3

Step-by-step explanation:

Answer:

Look at the attachment

The bottom equation states that:

Triangle Area = side^2 * (sqr root 3) / 4 or

Triangle Area = side^2 * .4330127..

So, we'll say the side originally equaled 1 and the new length is 7% longer ot it equals 1 + .07 or 1.07

Looking at the formula:

Triangle Area = 1.07^2 * .4330127...

the .4330127 doesn't change but the side increases to 1.07

and the change in area is 1.07^2 or 1.1449 times larger.

So, the area is 14.49% larger.

Step-by-step explanation:

Answer:

0.05 x 0.04 = 0.002

Step-by-step explanation:

Given:

5 column (hundred grid) = 5/100 = 0.05

4 row (hundred grid) = 4/100 = 0.04

Find:

Area equation

Computation:

Area equation = 0.05 x 0.04

0.05 x 0.04 = 0.002

Answer:

[tex]B.2w+2l[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Perimeter\ of\ any\ rectangle=w+l+w+l\\By\ adding\ the\ like\ terms\ together\ in\ the\ expression\ w+l+w+l,\\we\ get:\\(w+w)+(l+l)\\=2w+2l[/tex]

Answer:

The larger number is 98

Step-by-step explanation:

Let the numbers be a and b

a/b= 2/4

4a = 2b ------- 1

a + b = 147 -----2

a= 147 - b -------3

Substitute equation 3 into 1

4(147 -b) = 2b

588 - 4b = 2b

588= 2b + 4b

588 = 6b

b= 588/6

b= 98

Substituting b= 98 into 1

4a = 2(98)

4a = 196

a= 49

The larger number is 98

Answer:

Least common multiple (LCM) of 12 and 22 is 132

Step-by-step explanation:

Answer:

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

hope this helps! happy new year!

Answer:

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

Step-by-step explanation:

Hope this helps (づ｡ ◕‿‿◕｡) づ

Luv ya

Answer:

Length = 22 ; width = 10

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 64 feets

Length = 2 + (2*width)

Let :

Length = l ; width = w

Perimeter = 2((2 + (2w)) + w)

64 = 2(2 + 3w)

64 = 4 + 6w

64 - 4 = 6w

60 = 6w

w = 60/6

w = 10

Width = 10

Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22

Answer:

y = 4

Step-by-step explanation:

6y + 30 = 54

subtract 30 from each side

6y = 24

divide each side by 6

y = 4

Answer:

y=4

Step-by-step explanation:

3(2y+10)=54

6y+30=54

-30       -30

6y=24

/6   /6

y=4

Answer:

The fraction is 41/99.

Step-by-step explanation:

The steps are :

[tex]let \: x \: be \: fraction,[/tex]

[tex]x = 0.414141.....[/tex]

[tex]100x = 41.414141.....[/tex]

[tex]100x - x = 41.414141..... \: - \: 0.414141.....[/tex]

[tex]99x = 41[/tex]

[tex]x = \frac{41}{99} [/tex]

Answer:

181.7m

Step-by-step explanation:

The set up is a right angled triangle with;

Height of the light house = 25m = opposite side

The distance of the boat from the base = 180m = Adjacent

The distance of the light beam from the house = Hypotenuse = x

Using pythagoras theorem;

x² = 25²+180²

x² = 625+32400

x² = 33025

x = √33,025

x = 181.7m

Hence distance of the light beam from the top of the lighthouse to the ground is 181.7m to the nearest tenth

Answer:

14t + 5.1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Expression

5.1 + 8.8t - 2.2t + 7.4t

Step 2: Simplify

Answer:

Ordinary least squares

Step-by-step explanation:

The ordinary least squares means the estimations that done for parameters in a regression model by lowering the sum of the square residuals. It also predicted the coefficient of the regression equation that generate the actual and the expected values of the dependent variable is known as ordinary least squares

Therefore the above represent the answer

Answer:

-3

Step-by-step explanation: