Simplify the Algebraic Expressions Problems 15 - 19.

15. 7c + 8d + 2c + 17d =

16. 4(2m - 3p) + 12m + 7p =

17. (15j +9z) - (12j + 6z) =

18. 3y + 6.7x + y + 2.3x +10 - 7 =

19. 2b + (-6c) +5e - 11b + e+ 6c =

Answer:

22

Step-by-step explanation:

1: 3+9 = 12

2: + 10 = 22

The correct answer for this question is 22.

Please mark brainliest

Hope this helps.

Answer:

124 students

Step-by-step explanation:

let number of boys be 11x and girls be 9x.

A.T.Q 124 more boys than girls

equation=

11x = 9x + 124

11x- 9x = 124

2x = 124

x = 124/2 = 62

boys= 62 * 11 = 682

girls= 62 * 9 = 558

total = 558+682 = 1240 students

Answer:

It will take 25.7 minutes when they are working together

Step-by-step explanation:

Here, we want to know how long it will take both pipe working together to drain the tank

Let the volume of water to be drained be xL

for the first one, rate is

x/45 L/minutes

for the second x/60 L/minutes

Joint rate will be

x/45 + x/60 = 4x + 3x/180 = 7x/180

Now go get the time involved here, we simply divide the volume by the rate

That would be;

x divided by 7x/180

= x * 180/7x

= 180/7 = 25.7 minutes

Answer:

the answer

the question is not very clear, 

its complement may be Which is equivalent to 16 ^ 3/4x?

-4√16^3x

-4√16^3

-3√16^4x

-3√16^4

perhaps the 16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^  (3 / 4x)  

or - [16 ^  (3 / 4)]  x 

If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this

if the question is 16 ^  (3 / 4x), it is equivalent to 4x-th root of 16^3

so if the question is - [16 ^  (3 / 4)]  x 

so - [16 ^  (3 / 4)]  x  =( - 4√16^3)x  it is 4th root of 16^3 times x

so the choice is -4√16^3x

Step-by-step explanation:

Answer:

[tex]4 - 22 - 115[/tex]

answer is yes...........

Answer:

"Rotation" means turning around a center: The distance from the center to any point on the shape stays the same.Every point makes a circle around the centre.

The Figure 2 was constructed using figure 1.Among all the given options those which apply for the transformation to be defined as a rotation are :

A)The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2)

(B)The transformation is rigid.

(C)Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

(E)If figure 1 is rotated 360° about point C, it will be mapped onto itself.

Options A,B,C,E are the correct ones.

Answer:

Step-by-step explanation:

did edge test said to pick 3

Answer:

-x^3 -3x+2

Step-by-step explanation:

f(x) = -3x +2

g(x) = x^3

(f-g)(x) = -3x +2 - x^3

          = -x^3 -3x+2

Answer:

x=−6

Step-by-step explanation:

Answer:

C. x = -6

Step-by-step explanation:

[tex]2(3x + 7) = -22.\\Step -1: Multiply-through-by-two\\6x + 14= -22\\Collect -like-terms.\\6x= -22-14\\6x =-36\\Divide-both-sides-of-the-equation-by 6\\ = x= -6[/tex]

Answer:

a. y = 8x + 7

b. 8y = -x-74

Step-by-step explanation:

Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point

Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope

Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8

Now, the slope of our new line is also 8

We now make use of the point slope method to write the equation

Mathematically the point slope method is;

y-y1 = m(x-x1)

where our (x1,y1) = (-2,-9)

y-(-9) = 8(x -(-2))

y + 9 = 8(x + 2)

y + 9 = 8x + 16

y = 8x + 16-9

y = 8x + 7

For the second line, it is perpendicular to y = 8x + 7

Here too, we have the slope as 8

Now since they are perpendicular, it means that the product of the slopes is equal to -1

m1 * m2 = -1

8 * m2 = -1

m2 = -1/8

Now;

y-y1 = m(x-x1)

our point still remains same (-2,-9)

y-(-9) = -1/8 (x -(-2))

y + 9 = -1/8(x + 2)

8(y + 9) = -1(x + 2)

8y + 72 = -x -2

8y = -x -2-72

8y = -x-74

Answer:

There are 33 students

Step-by-step explanation:

Because 7:4 should be in multiple of 11

Answer:

The range can only tell you basic details about the spread of a set of data. By giving the difference between the lowest and highest scores of a set of data it gives a rough idea of how widely spread out the most extreme observations are, but gives no information as to where any of the other data points lie.

Step-by-step explanation:

Answer:

[tex]-10x^9y^4[/tex]

Step-by-step explanation:

Answer:

-10x9y4

Step-by-step explanation:

When multiplying exponents it's like adding nothing serious. Hope this helps! Plz mark brainliest!!

Answer:

see explanation

Step-by-step explanation:

consecutive even numbers have a difference of 2

let the consecutive even numbers be n and n + 2, thus

(n + 2)² - n² ← expand (n + 2)² using FOIL

= n² + 4n + 4 - n² ← collect like terms

= 4n + 4

= 4(n + 1) ← which results in a multiple of 4

Answer:

Step-by-step explanation:

9y=2

-4x+y=-35

____________

-4x=-y-35

-4x+35=-y

4x-35=y

____________

9(4x-35)=2

36x- 315=2

36x=317

x=8.8055555555555555555555555555555555 you get the idea

Answer:

Option D is the correct answer

Step-by-step explanation:

Since, dimensions of both the matrices are different, hence they cannot be added.

Answer:

D) no, because they are skew

Step-by-step explanation:

just did the assignment on edge 2020

hope this helps :)

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiplication property

if x=y

then  x*z=y*z

Answer:

A =7.02 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases

A = 1/2 ( 4.5+6.3) * 1.3

A = 1/2(10.8) * 1.3

A =7.02 m^2

Answer:

x = -7 ±√5  /2

That is;

x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction

Step-by-step explanation:

To find the solutions to the equation, we will follow the steps below

(2x + 3)² + 8(2x + 3) + 11 = 0 --------------------------------------------------------------(1)

let u = 2x + 3

we will replace 2x+ 3 by  u  in equation (1)

u² + 8u + 11 = 0  -----------------------------------------------------------------------------(2)

we will solve equation (2) using  the formula method

a=1   b=8     and c=11

u = -b ± √b² - 4ac  /2a

u = -8 ±√(-8)² - 4(1)(11)    /2(1)

u = -8 ±√64 - 44    /2

u = -8 ±√20    /2

u = -8/2  ± √20/2

u= -4 ± √20/2

u= -4 ± √5×4   /2

u= -4 ± 2√5 /2

u= -4 ± √5   ---------------------------------------------------------------------------(30

but u = 2x + 3

Substitute u =2x+3 in equation (3)

2x + 3 = -4 ± √5

subtract 3 from both-side of the equation

2x + 3-3 = -4 -3 ± √5

2x = -7±√5

Divide both-side of the equation by 2

2x/2 = -7 ±√5  /2

x = -7 ±√5  /2

Answer:

the answer is b

Step-by-step explanation:

i took the test

Answer:

40.8

Step-by-step explanation:

Just took the test

Answer:

40.8 yd

Step-by-step explanation:

just took the test too! :D

have a miraculous day!! <3

Answer:

x = (A t)/4 + (p t)/4

Step-by-step explanation:

Solve for x:

A = (4 x)/t - p

A = (4 x)/t - p is equivalent to (4 x)/t - p = A:

(4 x)/t - p = A

Add p to both sides:

(4 x)/t = A + p

Multiply both sides by t/4:

Answer: x = (A t)/4 + (p t)/4

the number=A

5xA/7+A=2

5A/7 +A =2

5A/7=2-A/1

7(2-A)=1(5A)

14-7A=5A

14=5A+7A

14/12=12A/12

A=14/12

A=7/6

Answer:

Runner 2 has the fastest pace

Step-by-step explanation:

The first one we need to find the slope

m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile

The second  is 8.5 minutes per mile

The third we need to find the slope

m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile

Answer:

13.7

Step-by-step explanation:

3x=41

x is around 13.7

Answer:

x = [tex]\frac{41}{3}[/tex]

x ≈ 13.7

Step-by-step explanation:

[tex]3x+15=56\\3x+15-15=56-15\leftarrow \text {Subtraction Property of Equality} \\3x=41\\\\\frac{3x}{3} =\frac{41}{3} \leftarrow \text {Division Property of Equality}\\\\\boxed {x=\frac{41}{3}}[/tex]

41/3 = 13.66666666....

13.666... ≈ 13.7

Answer:

0.027

Step-by-step explanation:

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

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Explanation:

Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.

If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.

------------

Or put another way,

8^x = 1

8^x = 8^0 ... replace the 1 with 8^0

x = 0 ... the bases are equal (to 8) so the exponents must be equal

------------

You can use the change of base formula to directly calculate this log

[tex]\log_8(1) = \frac{\log(1)}{\log(8)} = \frac{0}{0.903} = 0[/tex]

Answer:

The surface area of door is 33 680 cm².

Step-by-step explanation:

Given that the surface area of a cuboid which is the 3D of rectangle is :

[tex]s.a = 2(l \times w) + 2(l \times h) + 2(w \times h)[/tex]

[tex]let \: l = 80 \\ let \: w = 3 \\ let \: h = 200[/tex]

[tex]s.a = 2(80 \times 3) + 2(80 \times 200) + 2(3 \times 200)[/tex]

[tex]s.a = 2(240) + 2(16000) + 2(600)[/tex]

[tex]s.a = 480 + 32000 + 1200[/tex]

[tex]s.a = 33680 \: {cm}^{2} [/tex]

Answer:

So we can simplify this to

36+4x=-1

We can subtract by 64 on both sides. 4x = -37. Therefore the answer to this is

x = -37/4 = -9.25.

So the answer for x is -16.25. If you were trying to do a quadratic equation then sorry because you worded it wrong, and I solved properly.