Solving equations by combining like terms

Answer:  x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4

Answer:

Step-by-step explanation:

A4 means the 4th number so it would be 17.

Answer:

-12

Step-by-step explanation:

I believe they multiply each term by -3/1

4/1 * -3/1 = -12/1 = -12

Answer:

1 3/5

Step-by-step explanation:

to determine the answer, take the following steps :

6 2/3 ÷ 3 1/3

20/3  x 3/10 = 2

2 x 4/5 = 8/5 = 1 3/5

Answer:

9 ≤ x ≤ 7

Step-by-step explanation:

2x – 3 ≤ 11 or –8x – 10 ≤ – 82

We shall determine the value of x in both case.

2x – 3 ≤ 11

Collect like terms

2x ≤ 11 + 3

2x ≤ 14

Divide both side by 2

x ≤ 14/2

x ≤ 7

–8x – 10 ≤ – 82

Collect like terms

–8x ≤ – 82 + 10

–8x ≤ – 72

Divide both side by –8

x ≤ – 72 / –8

x ≥ 9 (since we divided by a negative sign)

9 ≤ x

Combining both answers

x ≤ 7

9 ≤ x

Thus,

9 ≤ x ≤ 7

Answer:

195 cubic centimeters (cm^3)

Step-by-step explanation:

sorry it's late

Answer:

101.25 seconds.

Step-by-step explanation:

We know that Ed solved the puzzle 3/4 faster than Brett.

Then if Brett solved the puzzle in a time T, Ed solved the puzzle in a time (3/4)*T.

We know that Brett solved the puzzle in 135 seconds, then:

T = 135s

This means that Ed solved the puzzle in:

time = (3/4)*T = (3/4)*135s = 101.25 seconds.

Answer:

6

Step-by-step explanation:

2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.

Answer:

$11.70

Step-by-step explanation:

117 - 45% ( Art & Music ) = 64.35

117-64.35 = 52.65

64.35-52.65 = 11.70

Answer:

The answer would be -30°F

Answer:

0.625 62.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dividing 5 by 8 on a calculator results in the "equivalent decimal:"

5/8 = 0.625

0.625 converts to 62.5%:  a percent

5/8 is a proper fraction

Answer:

AB= 16❤

Step-by-step explanation:

OB= 10

EB²+6²= 10²

EB²= 64

EB=8

2×8=16

The length of line AB in the intersecting chords is determined as 16 units.

The length of line AB is calculated by applying intersecting chord theorem as follows;

The radius of the circle = 10

Applying Pythagorean theorem as follows;

EB² + 6²= r²

where;

EB² + 6²= 10²

EB² = 10² - 6²

EB² = 100 - 36

EB²= 64

EB = √ 64

EB = 8

Since EB is the half of length AB, then the value of the length AB is calculated as;

AB = 2 x 8

AB = 16 units

Learn more about intersecting chords here: https://brainly.com/question/13950364

#SPJ2

Answer:

2/6

Step-by-step explanation:

if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4

Answer:

482895ft^2

Step-by-step explanation:

Given data

Width= 657ft

Length= 735ft

We know that area A

A= Length* Width

A=657*735

A= 482895ft^2

Hence the area is 482895ft^2

Answer:

1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

2) E. The coefficient of [tex]x[/tex] is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

Correct answer: D

2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:

[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]

[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]

We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.

Answer:

The slope is 2/3

Step-by-step explanation:

To get from one dot to the next...

You go up 2 units and to the right 3 units

Answer:

35 degrees and 50 degrees

Step-by-step explanation:

The sum of all the angles in a triangle must be 180 degrees. So 180 - 95 = 85 leftover for the other two angles. Since we have a ratio of 7:10, we can add that up to get 17 total pieces of that 85-degree angle. 85 / 17 = 5, so each piece is 5 degrees. Therefore, the other two angles are 7*5 = 35 degrees and 10*5 = 50 degrees.

Answer: 20 is a parameter and 20.25 is a statistic

Definition of parameter: a numerical characteristic of a population, as distinct from a statistic of a sample.

Definition of statistic: a fact or piece of data from a study of a large quantity of numerical data.

Hope this helps!

Answer:

C

Step-by-step explanation:

20 is a parameter and 20.25 is a statistic

Answer:

c

Step-by-step explanation:

divide the two numbers.

Answer:

8.64

Step-by-step explanation:

12% = 0.12

72(0.12) = 8.64

The answer is 87

For this problem, the method I used was more of a guess and check because I simply plugged the options into a calculator to see which one would be closest a little bit past 9.3 but not all the way 9.4

the square root of 87 is 9.32 so you would round down while the square root of 88 is 9.38 which would round up

Hope this helps :)

Answer:

C

Step-by-step explanation:

Because each time she kept taking away apples

Answer:  A

The total apples minus the apples she took to school + the apples she took to school, youre looking for the apples she took to school not how many she has left

Answer:

5.6

Step-by-step explanation:

Answer:

Subtract [tex]8 - 5[/tex]

Step-by-step explanation:

Given

[tex]4 . \frac{53 + 1}{(8 - 5)^3}[/tex]

Required

The first step to evaluate the expression

The first step is to evaluate the expression in brackets.

From the question: The expression in bracket is: [tex]8 - 5[/tex]

So, the first step is to subtract [tex]8 - 5[/tex]

Answer:

Binomial

Step-by-step explanation:

Answer:

Binomial

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

20

Answer:

20

Step-by-step explanation:

Proportions

12 = 60%

E = 100%

E = 12*100/60

E = 20

Nevermind, my answer is wrong

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

substitute x = [tex]\frac{4\pi }{5}[/tex]

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

Learn more:

https://brainly.com/question/23159335