What are the terms in the expression 7x + 4y + 12

Answer:

r = 2/3

Step-by-step explanation:

[tex]6^{3r} =36[/tex]

if:

[tex]36=6^{2}[/tex]

[tex]6^{3r} =6^{2}[/tex]

then:

[tex]3r=2[/tex]

[tex]r=2/3[/tex]

Hope this helps

Answer:

[tex]r=\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]6^{3r}=36\\\\log_6(6^{3r})=log_6(36)\\\\3r=2\\\\r=\frac{2}{3}[/tex]

The word problem that must be solved with division and includes 2/7 as the dividend and 4 as the divisor is that John wants to buy a 4 yards cloth qnd there are pieces of 2/7 yards each. How many pieces will he buy?

In this case, it should be noted that division is used.to separate into different parts.

Therefore, John wants to buy a 4 yards cloth qnd there are pieces of 2/7 yards each.

The pieces to be bought will be:

= 4 ÷ 2/7

= 4 × 7/2

= 14

He'll buy 14 pieces.

Learn more about division on:

brainly.com/question/28119824

#SPJ1

Answer:

24 units

Step-by-step explanation:

create a proportion:

15/20 = 6/XY

cross-multiply:

15·XY = 120

XY = 8

15/25 = 6/YZ

cross-multiply:

15·YZ = 150

YZ = 10

Perimeter:

6 + 8 + 10 = 24

Answer:

6 ducks and 13 horses

Step-by-step explanation:

x ducks

19-x horses

2x+4(19-x)=64

2x+76-4x=64

4x-2x=76-64

2x=12

x=6 ducks

19-x = horses

19-6=13 horses

6 ducks and 13 horses

Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x-3)^2[/tex] is [tex]x^2 - 6x + 9[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

For the given case, the product needed can be calculated as:

[tex](x-3)^2 = (x-3) \times(x-3) = x(x-3) - 3(x-3) = x^2 - 3x - 3x + 9\\\\(x-3)^2 = x^2 - (3+3)x + 9 = x^2 - 6x + 9[/tex]

(coefficients of like terms were added)

Thus, the product result of given expression is

[tex]x^2 - 6x + 9[/tex]

Learn more about product of polynomials here:

https://brainly.com/question/9106484

Answer:

x^2 - 6x + 9

Step-by-step explanation:

Hope this helps! :D

Using proportions, it is found that Jade's total yearly income was of $50,600.

A proportion is a fraction of a total amount.

In this problem, Jade's income is composed by:

Hence:

[tex]T = 18000 + 50(52) + 0.025(1200000) = 50600[/tex]

Jade's total yearly income was of $50,600.

More can be learned about proportions at https://brainly.com/question/24372153

By simplifying the given expression we will get that:

18*√8 = 36*√2

Here we start with:

18*√8

We can rewrite 18 as:

18 = √324

Replacing that in our expression we get:

√324*√8 = √(324*8) = √(2,592)

Now we need to rewrite 2,592 as the product of a square number and a non-square number (such that the non-square number is the smallest possible one).

If we divide 2,592 by 2, we get:

2592/2 = 1296

Then we can rewrite:

√2592 = √(2*1296) = √2*√1296 = √2*36

So this is the expression we wanted:

18*√8 = 36*√2

If you want to learn more about square roots, you can read:

https://brainly.com/question/8952483

Answer:

[tex]36\sqrt{2}[/tex]

Step-by-step explanation:

The largest square factor under the radical is 4. This gives us the factorization [tex]\sqrt{8} =\sqrt{4} * \sqrt{2}[/tex].

Thus,

[tex]18\sqrt{8} = 18(\sqrt{4} * \sqrt{2})[/tex]

        [tex]= 18*2\sqrt{2}[/tex]

        [tex]= 36\sqrt{2}[/tex]

Hope this helps!

Answer:

[tex]x\leq 6[/tex]

Step-by-step explanation:

[tex]\frac{3x}{2} \leq 9[/tex]

multiply by 2 to cancel

[tex]3x\leq 18[/tex]

Divide by 3:

[tex]x\leq 6[/tex]

Hope this helps

Answer:

  12 cm by 14 cm

Step-by-step explanation:

The area is given by ...

  A = LW

The perimeter is given by ...

  P = 2(L +W)

Substituting the given values, we have ...

  168 = LW

  52 = 2(L +W)

The second equation can be used to find an expression for L:

  26 = L +W . . . . . divide by 2

  L = 26 -W . . . . . subtract W

Using this in the first equation, we have ...

  168 = (26 -W)(W)

  W² -26W +168 = 0

Factors of 168 are ...

  168 = (-1)(-168) = (-2)(-84) = (-3)(-56) = (-4)(-42) = (-6)(-28) = (-7)(-24)

     = (-8)(-21) = (-12)(-14)

Only the last factor pair (-12, -14) has a sum of -26, so the equation factors as ...

  (W -12)(W -14) = 0

Solutions are W=12, and W=14. The corresponding values of L are 14 and 12.

The quadrilateral has dimensions of 12 cm and 14 cm.

Answer:

Each person will get .6 of a pound

Step-by-step explanation:

If you divide 3 by 5 you get .6.

Answer:

84 cm

Step-by-step explanation:

the area of a parallelogram is the how tall is it times it by the how long the base

(H x B)

the answer is 84 cm

Answer:

0

Step-by-step explanation:

its a straight line horizontally

Answer:

no

Step-by-step explanation:

Doesn't add to 12

[tex] - 5x + y = 12[/tex]

Add both sides 5x

[tex] - 5x + 5x + y = 5x + 12[/tex]

[tex]y = 5x + 12[/tex]

&

[tex]y = - x[/tex]

Thus :

[tex] - x = 5x + 12[/tex]

Add both sides x

[tex] - x + x = 5x + x + 12[/tex]

[tex]0 = 6x + 12[/tex]

Subtract both sides 12

[tex]0 - 12 = 6x + 12 - 12[/tex]

[tex] - 12 = 6x[/tex]

Switch sides

[tex]6x = - 12[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{ - 12}{6} \\ [/tex]

[tex]x = - 2[/tex]

We found the x-coordinate of the solution point ; to find the y-coordinate we just need to put the value of x in one 0f the given equations :

[tex]y = - ( - 2) [/tex]

[tex]y = 2[/tex]

Thus ( - 2 , 2 ) is the solution to this system of equations.

Answer:

I don't think so

Step-by-step explanation:

If I remember (based on memory) it's not equivalent

Reasoning: there's a different amount of Xs

Answer:

Please answer my question if you can, and gl understanding this! <3

Step-by-step explanation:

No, for if we subtract them, when we cancel out the 5x, 2, the integer, will not be equal to 2x, for not only is 2 already there, it is also being multipled by an integer. It possibly can equal though, if x was either 0, or positive 1, but if the x is not given, then no, they're not equivalent.

Answer:

(4, -3)

Step-by-step explanation:

Rewrite equations:

x−2y=10;6x+3y=15

Step: Solvex−2y=10for x:

x−2y=10

x−2y+2y=10+2y(Add 2y to both sides)

x=2y+10

Step: Substitute2y+10forxin6x+3y=15:

6x+3y=15

6(2y+10)+3y=15

15y+60=15(Simplify both sides of the equation)

15y+60+−60=15+−60(Add -60 to both sides)

15y=−45

15y

15

=

−45

15

(Divide both sides by 15)

y=−3

Step: Substitute−3foryinx=2y+10:

x=2y+10

x=(2)(−3)+10

x=4(Simplify both sides of the equation)

Therefore answer: is

x=4 and y=−3

Hope it helps!

Answer:

6/5

Step-by-step explanation:

rise/run

I hope this is right! :D

Answer:

The slope would be 6/5

Step-by-step explanation:

Use the Distributive Property:

[tex]-10(-7x^{2} +5x)[/tex]

[tex]70x^{2}-50x[/tex]

[tex]70x^{2}-50x[/tex] is your simplified expression.

a) [tex]x^5-x^3[/tex]

[tex]x^3\left(x^2-1\right)[/tex] ........take out x³

[tex]x^3\left(x+1\right)\left(x-1\right)[/tex] ......separated (x²-1)

b) [tex]3x^2-75[/tex]

[tex]3\left(x^2-25\right)[/tex] ........took out 3.

[tex]3\left(x+5\right)\left(x-5\right)[/tex]  .......separated (x²-25)

c) [tex]3x^5y+4x^4y-5x^2y[/tex]

[tex]x^2y\left(3x^3+4x^2-5\right)[/tex] ............takeout x²y at the front.

d) [tex]81x^3-125[/tex]

[tex]81x^3-125[/tex] ......cannot be factorised much more further.

Solution:

Part - A:

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x⁴ (GCF), which can factorize completely. This will subtract 4 from the exponents.

Part - B:

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by 3 (GCF), which can factorize completely. This will divide 3 from the terms.

Part - C:

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x²y (GCF), which can factorize completely.

Part - D:

Unfortunately, this expression can't factor with rational numbers. The expression results in 81x³ - 125.

Answer:

D. [tex]256\pi\ in^2[/tex]

Step-by-step explanation:

To do this, we need to plug in the given values into the equation:

[tex]SA=2\pi rh+2\pi r^2\\SA = 2\pi 8(8)+2\pi 8^2\\SA=2\pi 64+2\pi 64\\SA=128\pi + 128\pi\\SA=256\pi \ in^2[/tex]

Answer:

7,500 was the attendance before the drop.

Step-by-step explanation:

3750 x 2

Answer:

No, he incorrectly rounded 1.25 to 2

Step-by-step explanation:

hope this helps :)

Answer:

No, he incorrectly rounded 1.25 to 2

Step-by-step explanation:

To find out how many pages Yutto writes in 1 hour we divide

1.25/2=0.625

Now we multiply

0.625×6=3.75

3.75≠6

So now we know that Yutto was incorrect so we can eliminate the last two options. Now how did he get his original estimate? For option A,

1.25 is rounded to 2

2/2=1

1×6=6

So the answer is A

Step-by-step explanation:

I guess, the problem is to understand :

what means "average" ?

well, the average of a defined set of data points is the sum of the data divided by the number of data points (or samples).

that way you get a mean value for each time the system is "measured" (a data point is created).

each new measurement / data point changes the mean value (or average).

this is used all the time - in sports statistics (e.g. the average score of a team), in daily life (like the average height of a human being that defines sizes of clothes, beds, chairs, tables, even the typical height of ceilings and so on).

the average of these 8 data points is therefore :

(36+37+34+23+47+27+31+21)/8 = 256/8 = 32

so, if he wants to raise his average score to 35 with the results of the next 2 games, this has 2 things to be considered :

1. the number of days points will be then 8+2=10 (and not just 8).

2. we need to add 2 data points, so that the sum of all 10 data points divided by 10 is then 35.

(36+37+34+23+47+27+31+21+x+y)/10 = 35

(36+37+34+23+47+27+31+21+x+y) = 350

x + y = 350 - 256 = 94

that means, he has to score a total of 94 points in the next 2 games.

it does not matter, how many in any single game, as long as the sum of both games is 94.

since the question is phrased "how many in each of the next 2 games", we simply take the target average of these 2 games.

remember, sum/amount = 94/2 = 47.

so, he would have to score 47 points in each of the next 2 games to raise his general average score to 35.

sin = 3/7

1 = sin²0 + cos²0

cos²0 = 1 - 9/49

cos²0 = 40/49

cos0 = √(40) / 7

since its in Quadrant 2 the sin is positive and cos is negative

cos0 = - √(40) / 7

Answer:

88

Step-by-step explanation:

92 and angle 2 are corresponding and 180-92= 88

Answer:

1. 4/5, 3/5, 4/3 || 2. x = 13.78

Step-by-step explanation:

1)

Sin = Opposite/Hypotenuse = 16/20 = 4/5

Cos = Adjacent/Hypotenuse = 12/20 = 3/5

Tan = Opposite/Adjacent = 16/12 = 4/3

So the answer is 4/5, 3/5, 4/3

2) The unknown side is the opposite, and 21 is the hypotenuse. Opposite/Hypotenuse is the sine function.

Sin(41) ≈ 0.656

0.656 = x/21

x = 13.776

The closest answer to this is 13.78

Answer:

d. $233.40

Step-by-step explanation:

you solve this by first multiplying Ryan's hourly rate($5.30) by how many hours he worked last week(32 hours)

5.30*32=169.6

then you take that number and subtract it from how much he earned($403) and the resulting number will be what he made in tips

403-169.9=233.40

Answer:

d. $233.40

Step-by-step explanation:

pay for 32 hours

= $5.30 × 32

= $169.60

tips = $403 - $169.60

= $233.40