Find the value of y.
(14y-4)
(3x + 11)
(x+21)

Answers

Answer 1

The simplified value of y in the equation is x = 38 + -3.5y

Simplifying

[tex](14y + -4) + (3x + 11) + (x + 21) = 180[/tex]

Reorder the terms:

[tex](-4 + 14y) + (3x + 11) + (x + 21) = 180[/tex]

Remove parenthesis around (-4 + 14y)

[tex]-4 + 14y + (3x + 11) + (x + 21) = 180[/tex]

Reorder the terms:

[tex]-4 + 14y + (11 + 3x) + (x + 21) = 180[/tex]

Remove parenthesis around (11 + 3x)

[tex]-4 + 14y + 11 + 3x + (x + 21) = 180[/tex]

Reorder the terms:

[tex]-4 + 14y + 11 + 3x + (21 + x) = 180[/tex]

Remove parenthesis around (21 + x)

[tex]-4 + 14y + 11 + 3x + 21 + x = 180[/tex]

Reorder the terms:

[tex]-4 + 11 + 21 + 3x + x + 14y = 180[/tex]

Combine like terms: -4 + 11 = 7

[tex]7 + 21 + 3x + x + 14y = 180[/tex]

Combine like terms: 7 + 21 = 28

[tex]28 + 3x + x + 14y = 180[/tex]

Combine like terms: 3x + x = 4x

[tex]28 + 4x + 14y = 180[/tex]

Solving

[tex]28 + 4x + 14y = 180[/tex]

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28' to each side of the equation.

[tex]28 + 4x + -28 + 14y = 180 + -28[/tex]

Reorder the terms:

[tex]28 + -28 + 4x + 14y = 180 + -28[/tex]

Combine like terms: 28 + -28 = 0

[tex]0 + 4x + 14y = 180 + -28\\4x + 14y = 180 + -28[/tex]

Combine like terms: 180 + -28 = 152

[tex]4x + 14y = 152[/tex]

Add '-14y' to each side of the equation.

[tex]4x + 14y + -14y = 152 + -14y[/tex]

Combine like terms: 14y + -14y = 0

[tex]4x + 0 = 152 + -14y\\4x = 152 + -14y[/tex]

Divide each side by '4'.

[tex]x = 38 + -3.5y[/tex]

Simplifying

[tex]x = 38 + -3.5y[/tex]

Therefore, we can simplify that the value of y can be expressed as   x = 38 + -3.5y

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Related Questions

My little sister, Savannah, is three years old and has a piggy bank that she wants to fill. She
started with five pennies and each day when I come home from school, she is excited when I give her three pennies that are left over from my lunch money. How much money will Savannah have after 10 days? How many days will it take for her to have at least $1.50? Justify your answer with a mathematical model of the problem situation.

Answers

The amount of money Savannah will have after 10 days is $0.35

Convert penny to dollar

1 penny = $0.01

Amount Savannah started with = 5 pennies

= $0.01 × 5

= $0.05

Additional amount per day = 3 pennies

= $0.01 × 3

= $0.03

Number of days = 10

Total savings in 10 days = 0.05 + 0.03(10)

= 0.05 + 0.3

= $0.35

Number of days it will take for her to have at least $1.50 = 0.05 + 0.03d

1.50 - 0.05 = 0.03d

1.45 = 0.03d

d = 1.45 / 0.03

d = 48.33333333333333

Approximately,

d = 48.33 days

Therefore, the number of days it will take for her to have at least $1.50 us 48.33 days

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4. What is the rate of change of the linear function that has a graph that passes
through the points (-1, 3) and (-2,-4)?

Answers

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

The slope of a line is outlined because the amendment in y coordinate with relevancy the amendment in x coordinate of that line. cyber web amendment in y coordinate is Δy, whereas cyber web amendment within the x coordinate is Δx. The slope of a line is calculated victimisation 2 points lying on the line. Given the coordinates of the 2 points, we are able to apply the slope of line formula m = y₂ - y₁ / x₂ - x₁ where (x₁ ,y₁) are the coordinate of first point and (x₂ ,y₂) are the coordinate of second point.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 48 ft/s from the top of a building 316 ft high, then its height h above the ground t seconds later will be h = 316 + 48t − 16t2. During what time interval (in seconds) will the ball be at least 28 ft above the ground? (Enter your answer using interval notation.)

Answers

Answer: t∈[0.6]     0 c≤t≤6 c

Step-by-step explanation:

h=316+48t-16t²

-16t²+48t+316≥28

-16t²+48t+316-28≥28-28

-16t²+48t+288≥0

Divide both parts of the equation by 16 :

-t²+3t+18≥0

Multiply both parts of the equation by -1 (in this case, change the sign of the inequality to the opposite)

-(-1)t²+(-1)3t+(-1)18≤0

t²-3t-18≤0

t²-6t+3t-18≤0

t(x-6)+3(t-6)≤0

(t-6)(t+3)≤0

Find the zeros of the function:

t-6=0

t-6+6=0+6

t=6

t+3=0

t+3-3=0-3

t=-3

⇒  - ∞__+__-3__-__6__+__+∞

⇒ t∈[-3;6]

t≥0

⇒  t∈[0,6]

Write – 90 7 50 as a decimal number.

Answers

The value of – 90 7 50 written as a decimal number is -90. 14

What are decimals?

Decimals are the types of numbers, having a whole number and the fractional part that is separated by a decimal point.

The dot present that is found between the whole number and fractions part is known as the decimal point.

Given the mixed fraction;

– 90 7 50

Let's convert to improper fractions;

 -4507  /50

Find the ratio

-90. 14

Thus, the value of – 90 7 50 written as a decimal number is -90. 14

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Find the ellipse centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1). write your equation in the form ax2 bxy cy2 = 1.

Answers

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Find the ellipse centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1).?

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

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what property is -28 = -28

Answers

The numbers -28 = -28 are representing the reflexive property.

What is reflexive property?

According to the Reflexive Property, x=x for every real number x. The meaning of the reflexive property is that the two expressions will have identical answers.

Suppose for square the two expressions for the length are 2x - 2 and ( 4x / 2 - 2 ). The two lengths of the square will have the same value.

2x - 2 = ( 4x / 2 - 2 ).

2x - 2 = 2x -  2

This is called reflexive property. Therefore, the numbers -28 = -28 are representing the reflexive property.

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COORDINATE GEOMETRY Find the measures of the sides of Δ J K L and classify each triangle by the measures of its sides. (Lesson 4-1)
J(16,14), K(7,6), L(-5,-14)

Answers

ΔJKL has sides that are of 70.37 units.

What exactly is a triangle?A triangle is a polygon with three vertices and three edges. It is a fundamental geometric shape.Triangle ABC represents a triangle with three vertices: A, B, and C.Any three non-collinear points define a unique triangle and, by extension, a unique plane in Euclidean geometry.

So,

The formula of perimeter: √(x₂−x₁)²+(y₂−y₁)²

Filling the values in the formula, we obtain:

= √(7−16)²+(6−14)²=  70.37 units

Then, each side of the triangle will be: 70.37 units

Therefore, ΔJKL has sides that are 70.37 units.

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Mary has two bags of nuts, one with 60% peanuts and the other with 12% peanuts. To make a 5 lb bag of 44%, how much of each should Mary use?

Answers

peanuts + peanuts = peanuts

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

0.60x + 0.35(8-x) = 0.50*8

------

60x + 35*8 - 35x = 50*8

What is the discriminant of the polynomial below?
4x² + 4x+1
О AD
OB. -12
O C. -4
OD. 32

Answers

Answer:

  A.  0

Step-by-step explanation:

You want the discriminant of the quadratic 4x²+4x+1.

Discriminant

The discriminant of quadratic ax²+bx+c is ...

  d = b² -4ac

Your given expression has ...

a = 4b = 4c = 1

Substituting these values into the formula for the discriminant, we get ...

  d = 4² -4(4)(1) = 16 -16 = 0

The discriminant of the polynomial is 0.

Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s. what is the radius of jupiter? 7,781.6 km 19,420 km 48,893 km 69,912 km

Answers

Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, then its radius is 69,912 km.

Tangential speed is defined as the measure of the circumference of the circular path the object is moving along divided by the value of the amount of time it took to complete one rotation.

tangential speed = C/t

where C = circumference

t = time it took to complete one rotation

Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, solve for the circumference of Jupiter.

C = tangential speed x time

C = 12,293 m/s (9.9259 hours)(3600s/hr)

C = 439,268,719.3 m

Using the formula for circumference, solve for the radius of Jupiter.

C = 2πr

r = C / 2π

r = 439,268,719.3 m/2π

r = 69,911,788.03 m

r = 69,912 km

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Answer:

D. 69,912 km

Step-by-step explanation:


In 2004,8 million Americans over the age of 7 participated in mountain biking, and in 2006,8.5 million participated.

b. Based on the data, what is the growth per year of the sport?

Answers

The growth per year in Mountain Biking is 0.25 Million

In the year 2004 - 8 Million people participated

So, the slope point becomes (2004,8)

In the year 2006 - 8.5 Million people participated

So, the slope point becomes (2006,8.5)

Now we have points as :

[tex]X_1[/tex] = 2004

[tex]Y_1[/tex] = 8

[tex]X_2[/tex] = 2006

[tex]Y_2[/tex] = 8.5

Growth per year in the sport :

= [tex]Y_2[/tex] - [tex]Y_1[/tex] / [tex]X_2[/tex] - [tex]X_1[/tex]

= 8.5 - 8 / 2006 - 2004

= 0.5 / 2 = 0.25

Therefore, Growth per year in the sport is 0.25 Million per year

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Evaluate -(8/-4) ^2 + 2 - 4^3

Answers

Answer:

-(8/-4)² + 2 - 4³ = -66

Step-by-step explanation:

-(8/-4)² + 2 - 4³

Here we need to respect the order of operations.

So ,first we calculate what’s between parentheses :

8/-4 = -2

Then

-(8/-4)² + 2 - 4³ = -(-2)² + 2 - 4³

Then

We calculate the exponent :

(-2)² = (-2) × (-2) = 4

4³ = 4 × 4 × 4 = 64

Then

-(8/-4)² + 2 - 4³ = -4 + 2 - 64

Then

The expression -4 + 2 - 64 contains addition and subtraction.

So ,we start calculating from left to right :

-4 + 2 = -2

Then

-4 + 2 - 64 = -2 - 64 = -66

Conclusion :

-(8/-4)² + 2 - 4³ = -66


Find the percent of the given number. 26 % of 500

Answers

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.

The percent of the given number 26 % of 500 is 130.

What is meant by percentage?

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.

Let the equation be 26 % of 500

Percentage = (value/total value) × 100 %.

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

26 % of 500 = 26/100 of 500

26/100 × 500 = 130

Therefore, the percent of the given number 26 % of 500 is 130.

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An alternative hypothesis states the direction one expects to see in the difference between treatments, while the null hypothesis does not. True or false?.

Answers

Yes, it is true that an alternative hypothesis states that the direction one expects to see in the difference between treatments while the null hypothesis does not.

Null and alternative hypothesis are the two statistical hypotheses and research hypothesis is another name for the alternative hypothesis. Whenever there is difference in the outcomes of interest then it is an alternative hypothesis. And the null hypothesis is the statement of equality. The null hypothesis and alternative hypothesis both are complementary to each other.

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Suppose the production function is given by q = 3k 4l. what is the average product of capital when 10 units of capital and 10 units of labor are employed?
a) 45
b) 3
c) 4
d) 7

Answers

The correct option is d) 7.

A production function indicates the proportion of a combination of inputs (labor and capital) that produces a given amount of output. Firms determine the quantity produced given the output price level and the quantity of a combination of input factors provided by the prices of capital and labor. Dividing the output by the number of capital and labor units employed gives the average capital and labor production, respectively.

The production functions,

Q = 3 K + 4 L

k = 10

L = 10

Q = 3 ( 10 ) + 4 ( 10 )

Q = 30 + 40

Q = 70

Average capital production is calculated by dividing output (Q) by the amount of capital used to produce that output (K).

Average capital production = output / capital

= 70 / 10

= 7

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Any help please? Question down below

Answers

The slope is 9/1 with the 9 at the top and 1 at the bottom.


Simplify. 3/7 . 21/21

Answers

Value of the expression 3/7 . 21/21 after simplify is equal to  3/7.

As given in the question:

Given expression :

3/7 . 21/21

Simplify the given expression 3/7 . 21/21

3/7 . 21/21

= {(3 /7 ) ×21 } /21

= ( 3 ×21 ) / (7 × 21)

21 is the common number between numerator and denominator

= 3/7 .1

= 3/7

Therefore, value of the expression 3/7 . 21/21 after simplify is equal to  3/7.

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x over 8 = 3 solve for x

Answers

Answer:

x = 24

Step-by-step explanation:

[tex]\frac{x}{8}[/tex] = 3 ( multiply both sides by 8 to clear the fraction )

x = 8 × 3 = 24

Answer: 24

Step-by-step explanation:

x/8 = 3

x = 3x8

x = 24

Use the given information to write an equation of the circle.
radius 7 , center (-6,13)

Answers

Using the given information, the equation of the circle with radius 7 and center located at (-6 , 13) is (x + 6)^2 + (y - 13)^2 = 49.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-6 , 13)

r = 7

(x - -6)^2 + (y - 13)^2 = 7^2

(x + 6)^2 + (y - 13)^2 = 49

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Three more than a number j is at most 12

Answers

Answer:

j + 3 ≤ 12

Hope this helps :)

Solution, Explanation, & Check part below

Step-by-step explanation:

1. Isolate variable by doing the inverse operation which is subtracting 3 on both sides of the equation.

j + 3 ≤ 12

- 3 - 3

j ≤ 9

j can be any number that is less than 9 or equal to 9.

Check:

9 + 3 ≤ 12

12 ≤ 12

12 is equal to 12 ✓

what is the GCF in 67 and 146

Answers

Answer:

1.

Step-by-step explanation:

67 is a prime number so we write

67 = 1 * 67

The GCF of 67 and 146 is 1.


Two things are consistent if they are in agreement with each other. What does it mean for your actions to be consistent with your words?

Answers

It implies that you follow through on your commitments and don't just claim you'll do something before breaking your word.

For eg: - If one says that I will complete the quiz by tomorrow, then being consistent implies I must complete the quiz by tomorrow. On the other hand, if I fail to meet the test by tomorrow then I am being inconsistent with my words. Therefore, both the task at hand and my words are consistent with each other

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For j(x) = 3x-1, find j(x+h)-j(x)
h
O 3x-1(3¹ +1)
h
○ 3²-1(30)
h
3x-1(3-1)
h
O (x-1)(3+1)
h

Answers

-3h is value of function j(x +h)-j(x) .

What is functions ?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

j(x) = 3x-1

J(x + h ) = 3 ( x + h ) + 1

put the value

j(x +h)-j(x) = 3x-1 -  3 ( x + h ) + 1

                = 3x - 1 - 3x -3h + 1

                = -3h

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Hourly Pay Rate: $13.17
Mon
in 7:15
out 10:15
Lunch
In 1:30
Out 7:45

Answers

between 7:15 and 10:15 is 3 hours difference. times 13.17 by 3 to get 39.51

at lunch, the difference between 1:30 and 7:45 is 6 hours and 15 minutes

times 13.17 by 6 to get 79.02
to find 15 minutes pay, divide the hourly rate by 4 to get 3.2925
then add it back on to 79.02
= $82.3125
round to 2 d.p
=$82.31 is the after lunch salary.

What is true about the sum of the two polynomials?

6s2t – 2st2

4s2t – 3st2

The sum is a binomial with a degree of 2.
The sum is a binomial with a degree of 3.
The sum is a trinomial with a degree of 2.
The sum is a trinomial with a degree of 3.

Answers

The true about the sum of the two polynomials- 6s^2t – 2st^2 and 4s^2t – 3st^2 is The sum is a binomial with a degree of 3.

What are polynomials?

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

Now the given polynomials are,

6s^2t – 2st^2 and 4s^2t – 3st^2

Now adding these two polynomials we get,

Sum of polynomials = 6s^2t – 2st^2 + 4s^2t – 3st^2

Taking alike terms together,

= 6s^2t + 4s^2t – 2st^2 – 3st^2

Now simplifying we get,

= 10s^2t – 5st^2

Here we see that the highest power of a variable is 2.

Thus this sum of polynomials is a binomial.

Now sum of the powers of variable s and t = 2 + 1 = 3

Thus, Degree of the sum of polynomials is 3.

Thus, the true about the sum of the two polynomials- 6s^2t – 2st^2 and 4s^2t – 3st^2 is The sum is a binomial with a degree of 3.

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Select all the inequalities that have the same graph as x < 4.
A) x < 2
B) x + 6 < 10
C) 5x < 20
D) x-2 >2
E) x < 8

Answers

Answer:

Step-by-step explanation:

B)   and c)

b) is correct because x + 6 < 10

x < 10 -6

x < 4

c) is correct because

5x < 20

x < 20/5

x < 4

12. Solve for y in -2y+4x=12

Answers

Answer: The answer would be x = -3 + 0.5y.

Step-by-step explanation: pls give me brainliest. may help w/ my depression.

what number decreased by 66 2/3 is 18? please help!!

Answers

Answer: 84 2/3

Step-by-step explanation:

x-66 2/3=18

x=18 + 66 2/3

x=18 + 66 + 2/3

x=84 + 2/3

x=84 2/3


Substitute -3for{x} in each of the following equations. What is the value of y ?
a. y = 2x+3

Answers

In the equation y = 2x + 3, the value of y when we substitute -3 for x is -3.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

To evaluate an equation means to substitute a value to the variable and perform the arithmetic operations included.

Given the equation y = 2x + 3, if we substitute -3 for x, the equation becomes

y = 2(-3) + 3

Performing the arithmetic operations, we can have the value of y.

y = 2(-3) + 3

y = -6 + 3

y = -3

Hence, for the equation y = 2x + 3, y is -3 when x is -3.

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Write an equation in standard form of the circle with the given center and radius.
center (-6,3) , radius 8 .

Answers

The equation in standard form of the circle with radius 8 and center located at (-6 , 3) is (x + 6)^2 + (y - 3)^2 = 64.

The standard form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-6 , 3)

r = 8

(x - -6)^2 + (y - 3)^2 = 8^2

(x + 6)^2 + (y - 3)^2 = 64

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Record your answers on the answer sheet provided by your teacher or on a sheet of paper.Write an equation in slope intercept form for the line which goes through the points (0,3) and (4,-5) A collection of pitches arranged in ascending or descending order is called a(n)? AVOIR - To have and TRE - To be worksheet Suppose a balloon is filled with 5000 cm of helium. It then loses one fourth of its helium each day. How much helium will be left in the balloon at the start of the tenth day?a. How can you write a sequence of numbers to represent this situation? PLEASE HELP! I JUST NEED A FEW EXAMPLES!!!! WILL GIVE BRAINLIESTWhat are some technology-based things that Japan does NOT have? (1 point) How much water is in this cylinder? WE KNOWN HOW VOLCANOS ORIGINATE . HOW THEY AFFECT THE ENVIRONMENT. How many times can 2 go into 200 what is the causative agent of hepatitis-B, Encephalitis,Meningitis and HIV/AIDS. a list of ranges contains the start and end values continuous ranges of integers. for example, [1,4] denotes all integers in the range from 1 to 4, or [1,2,3,4]. Divide the ranges into 2 groups such that any 2 ranges that have at least one common integer belong to the same group. given the list of ranges, find the no. of ways to distribute these ranges into 2 groups that satisfy the constraint and each group has at least one range. since the answer can be large, compute it modulo (10^9 + 7).Example Consider ranges = [[1,5], [3,8], [10,15], [13,14], [20,100]]. * [1,5] and [3,8] must belong to the same group since they have common integers 3,4 and 5.* [10,15] and [13,14] must belong to the same group since they have common integers 13 and 14.* All the other ranges can be distributed independently since they do not overlap. 1.2 x (-5) = I had -60 but it says the answer was incorrect and Im not sure what Im doing wrong. Any explanation on what Im doing wrong? The custom halloween company purchases a new sewing machine to replace an older machine with limited capabilities. The first week the new machine is used production nearly doubles. Which economic principle does this illustrate? the impact of capital investments the law of demand the law of supply the risk of an investment vehicle For each method - sometimes used a s heuristic, what is the distance from start to end? (ignore any coloring in the boxes) Which BEST explains why a person from England would join James Oglethorpe to settle colonial Georgia? 3 separate venn diagram questions that I need help with. I would like to see the steps to see how you got the answers, thanks..Answers: 6) 7 NOTE: I keep getting 14 instead of 7.9) 63 NOTE: I get 60. 13) a) 36b) no cluec) 1 Select the best definition of parallel structure. When there are ideas that are compared and contrasted in a sentence When there are correlating ideas in a sentence When there are two figurative language devices in the same stanza of a poem When two or more parts of a sentence are equally emphasized or expressed Before it was demolished, the RCA Dome was home to the Indianapolis Colts. The attendance in 2001 was 450,746, and the attendance in 2005 was 457,373 . c. Will the attendance continue to increase indefinitely? Explain. Considering the results of the Civil War in comparison to other Americanwars, which of the following is true?This is the only war that the US government lostVery few US men died in comparison to the World WarsAll of the fighting was done on foreign soil and not in the United StatesMore men were killed in the Civil War than all the other wars combined Endotoxin is associated with:_____ a. gram-positive bacteria. b. a molecule that binds nerve cells.c. a component of lps. d. excreted from the cell. e. an interleukin. Esmeralda is saving money to take a trip to Siesta Key, Florida with her friends. Every week, after takingout the $382 she needs for her weekly expenses, she sets aside the same portion of her paycheck. After11 weeks, Esmeralda has $506 saved for her trip.Rart A: Which equation can be used to represent the situation?O 11p-382=506, where p represents the amount in dollars that Esmeralda earns each week.11s - 382=506, where s represents the amount in dollars that Esmeralda saves each week.O 11(p-382) = 506, where p represents the amount in dollars that Esmeralda earns each week.O 11(s-382) = 506, where s represents the amount in dollars that Esmeralda saves each week.Part B: Solve the equation. Enter your answer in the space provided.