Please help! Solve for x: 24+37+2x=76

Answer:

d = 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁ = - 2 and a₈ = 26 , then

- 2 + 7d = 26 ( add 2 to both sides (

7d = 28 ( divide both sides by 7 )

d = 4

Answer:

d = 4

Step-by-step explanation:

a₁ = -2

a₈ = aₙ = 26

n = 8

aₙ = a₁ + d(n-1)

d = aₙ - a₁ / (n-1)

d = 26 -(-2) / (8-1)

d = 26 + 2 / 7

d = 28 / 7

d = 4

-2

-2 + 4 = 2

2 + 4 = 6

6 + 4 = 10

10 + 4 = 14

14 + 4 = 18

18 + 4 = 22

22 + 4 = 26

Answer:

Zero can be classified as a: Whole number, Rational number, and integer.

Step-by-step explanation:

Zero cannot be classified as a natural number because it does not have a positive or negative value.

I hope this helps! Good luck!

Zero is not classified as a D. Natural number

Zero can be quite complicated to place when it comes to numbers but it is generally agreed that zero is:

There is however some contention about whether zero is a natural number but most mathematicians have conclusively stated that zero is not a natural number.

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Answer:

y = 3x+3

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Step-by-step explanation:

hope this answer will help you

Answer:

Seven(7)

Step-by-step explanation:

8x-2y=48

8x-2(4)=48

8x-8=48

8x=48+8

8x=56

Divide both sides by 8

8x/8=56/8

x=7

Answer:

True an angle is two intercepting line segments that share an point

False The definition of a square is it has to have four congurent angles ,sides and 2 sets of parallel lines.

Step-by-step explanation:

Answer:

The answer is A (0.203 > 0.085)

Answer:

Step-by-step explanation:

Since the court yard is square in nature, the area of the court yard will be exprerssed as;

A = Length * Length

A(x) = L²

Given area of the court yard A(x) = x^2 - 22x + 121

x^2 - 22x + 121= L²

Factorizing the quadratic expression

(x^2 - 11x) -(11x+ 121) = L²

x(x-11)-11(x-11) = L²

(x-11)(x-11) = L²

(x-11)² = L²

Square root both sides to the length of the courtyard

√(x-11)² = √L²

L = x-11

Hence the  length of the courtyard is (x-11)ft

b) The perimeter of the courtyard P = 4L

P = 4(x-11)

P = 4x - 44

Hence an expression for the perimeter of the courtyard is 4x-44 feet

Step-by-step explanation:

2x + 10y = 50 ... 1

1.5x + 25y = 90 ...2

...1 × 2.5

5x + 25y = 125 ...3

...3 - ...2

3.5x = 35

x = 10

replaced x = 10 in ...1

2(10) + 10y = 50

20 + 10y = 50

10y = 50 - 20

10y = 30

y = 3

Answer:

[tex]x \geq 255[/tex]

Step-by-step explanation:

The options are not visible; however the question can still be solved

Given

Least Value = $255

Required

Determine the inequality

When the phrase "at least" is used, the its direct representation is the mathematical symbol [tex]\geq[/tex]

So: At least 255 means

[tex]\geq 255[/tex]

Representing the values with variable x, the complete inequality becomes

[tex]x \geq 255[/tex]

Answer:

[tex]x=2,\:y=-16[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\[/tex]

[tex]-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16[/tex]

Answer:

x = 2

y = -16

Step-by-step explanation:

Substitute value of y, -3x - 10 in the equation-8x + y = -32

-8x + (-3x - 10) = -32

-8x - 3x - 10 = -32

-11x - 10 = -32

-11x = -32 + 10

-11x = -22

Divide both sides by coefficient of x which is -11

x = 2

Substitute value of x, 2, in the equation-3x - 10 = y

(-3)2 - 10 = y

-6 - 10 = y

y = -16

Answer:

Identity property

Step-by-step explanation:

Answer: x=7

Step-by-step explanation:

got it right on edg

Answer:

x = 7

Step-by-step explanation:

8x - 17 + 5x - 3 = +71

13x - 20 = +71

     + 20 = +20

13x = 91

13x/13 = 91/13

x = 7

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

I used a calculator and it's correct!

Plz click the Thanks button!

<Jayla>

Answer:

angle 1 = 60 degrees

angle 2 = 120 degrees

=====================================================

Explanation:

Supplementary angles always add to 180 degrees. In other words, the two angles form a straight line.

(angle1) + (angle2) = 180

4x+8x = 180

12x = 180

12x/12 = 180/12 .... dividing both sides by 12

x = 15

Use this x value to find the two angle measures

angle1 = 4x = 4*15 = 60

angle2 = 8x = 8*15 = 120

As a check, angle1+angle2 = 60+120 = 180, which confirms our answer.

Answer:

A: experiment

B: observational study

C: observational study

D: experiment

Step-by-step explanation:

Answer:

[tex]6{x}^{2} - 2x + 4 - 12x =6 {x }^{2} - 14x + 4[/tex]

The simplified expression of 2x(3x - 1) + 4(1 - 3x) is 6x² + 4 - 14x

From the question, we have the following parameters that can be used in our computation:

2x(3x - 1) + 4(1 - 3x)

When the brackets are opened, we have

2x(3x - 1) + 4(1 - 3x) = 6x² - 2x + 4 - 12x

Evaluate the like terms

so, we have the following representation

2x(3x - 1) + 4(1 - 3x) = 6x² + 4 - 14x

Hence, the simplified expression is 6x² + 4 - 14x

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Answer:

Kyra is correct.

Step-by-step explanation:

Rational numbers;

All numbers which can be written in the form of [tex]\frac{p}{q}[/tex] are rational numbers.

Example: 1, 2, [tex]\frac{1}{2}[/tex], 1.414141....

Irrational numbers:

Numbers which are not in the form of [tex]\frac{p}{q}[/tex] are irrational.

Example: 1.234, π, √2

So rational and irrational numbers are two separate things.

But all positive and negative numbers are real numbers.

Real numbers may be rational or irrational both.

Therefore, Kyra's interpretation is correct.  

Step-by-step explanation:

Let x° be the original angle. Then the supplement angle is (180 - x)° and (180 - x) = 3x + 24.

180 - x = 3x + 24

4x = 156

x = 39

Hence the original angle is 39° and the supplementary angle is 141°.

The angles are 39° and 141°.

Two angles are said to be complementary to each other when their sum is 90°

According to the given question

The measure of the supplement angle is 24 more than the measure of the original angle.

Let the original angle be x

So from the given data it's supplement angle is 3x + 24.

We know two angles are supplementary when their sum is 180°.

∴ x + 3x + 24° = 180°

     4x = 156°

       x = (156/4)°

      x = 39°.

So, the original angle is 39° and it's supplementary angle is 141°.

Learn more about supplementary angles here :

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Answer:

Step-by-step explanation:

If points A, B and C are collinear, then A, B and C lies on the same straight line. Hence AB+BC = AC

Given

AB = 12''

BC = 8''

To get length od segment AC, we will substitute the given values into the formula above as shown;

AB+BC = AC

12 + 8 =AC

AC = 12+ 8

AC = 20''

Hence the length of AC is 20''

Answer:

18 muffins

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=34 (1)

0.50x+0.75y=21 (2)

where x is the number of muffins and y is the number of bagels.

First, you can isolate x in (1):

x=34-y (3)

Then, you can replace (3) in (2):

0.50(34-y)+0.75y=21

17-0.5y+0.75y=21

0.25y=21-17

0.25y=4

y=4/0.25

y=16

Now you can replace the value of "y" in (3):

x=34-16

x=18

According to this, the answer is that you sold 18 muffins.

edit: nevermind i multiplied wrong, the other answer is right

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - (1 + 7x) - 6( - 7 - x) = 36}[/tex]

Distribute ( - ) sign through the parentheses

Similarly, distribute -6 through the parentheses

[tex] \dashrightarrow{ \sf{ - 1 - 7x + 42 + 6x = 36}}[/tex]

Collect like terms

[tex] \dashrightarrow \sf - 7x + 6x - 1 + 42 = 36[/tex]

[tex] \dashrightarrow \: \sf \: - x - 1 + 42 = 36[/tex]

The negative and positive integers are always subtracted but possess the sign of the bigger integer

[tex] \dashrightarrow{ \sf{ - x + 41 = 36}}[/tex]

Move 41 to right hand side and change it's sign

[tex] \dashrightarrow{\sf{- x = 36 - 41}}[/tex]

[tex] \dashrightarrow \sf \: - x = - 5[/tex]

Change the signs on both sides of the equation

[tex] \dashrightarrow \: \sf{x = 5}[/tex]

Hope I helped!

Best regards! :D

Answer: 1

8-9=-1

-1 additive inverse is 1                

Answer:

x=52

Step-by-step explanation:

x=30+22

x=52

Answer:

Move all terms not containing  

X

to the right side of the equation.

X = 52

Answer:

Based on the question. D, would make the most sense.

Answer:

j(x) is an odd function

Step-by-step explanation:

We are given;

j(x) = 220/x³ and j(-x) = 220/(-x)³

Now,

when x = 1;

j(x) = 220/1³ = 220/1 = 220

j(-x) = 220/(-1)³ = 220/-1 = -220

When x = 2;

j(2) = 220/2³ = 220/8

j(-2) = 220/(-2)³ = -220/8

Now, Algebraically, function j would be even if and only if j(-x) = j(x) for all x in the domain of j. While j is odd if and only if j(-x) = -j(x) for all x in the domain of j.

From the values gotten, we can see that :j(-x) = -j(x). Thus, we can say that j(x) is an odd function.

Answer:

A) j(x) is an odd function.

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors.