Graph the system of inequalities. Then use your graph to identify the point that
represents a solution to the system.
x + y2 3
x-3y< 2
(6, 1)
(8,-1)
(6,2)
O (6,-2)

Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7

y=

5x+2y=5x+18

X+5-5+2=X+5-5+18

X=2. X=18

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Using fraction strips, the result of 4 2/3 + 3 3/4 is 8 5/12

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, 4 2/3 + 3 3/4 using fraction strips.

Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency.

First, we will add fraction parts

=> 2/3 + 3/4

We can write2/3 as 8/12 since they have the same values

=> 8/12 + 9/12

Since now the denominators are the same, therefore we can add the numerators directly. Hence, the sum of 8/12 and 9/12

=> 17/12

=>12/12 + 5/12

=> 1 + 5/12

Thus the sum = 4 + 3 +1 + 5/12

Sum = 8 +5/12

therefore, the sum of  4 2/3 + 3 3/4using fraction strips is 8 5/12.

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Answer:

Price of X is $24.81

Price of Y is $3.66

Price of Z is $11.36

Step-by-step explanation:

for person A, we know that earns $40, then we can write the equation:

-4*z + 3*x + 3*y = $40

For person B, we know that earns $50, then:

1*z + 2*x - 3*y = $50

For person C, we know that earns $130, then:

6*z - 1*x + 4*y = $130

Then we have a system of equations:

-4*z + 3*x + 3*y = $40

1*z + 2*x - 3*y = $50

6*z - 1*x + 4*y = $130

To solve the system, we need to isolate one of the variables in one of the equations.

Let's isolate z in the second equation:

z = $50 - 2*x + 3*y

now we can replace this in the other two equations:

-4*z + 3*x + 3*y = $40

6*z - 1*x + 4*y = $130

So we get:

-4*($50 - 2*x + 3*y) + 3*x + 3*y = $40

6*($50 - 2*x + 3*y) - 1*x + 4*y = $130

Now we need to simplify both of these, so we get:

-$200 + 11x - 9y = $40

$350 - 13*x + 28*y = $130

Now again, we need to isolate one of the variables in one of the equations.

Let's isolate x in the first one:

-$200 + 11x - 9y = $40

11x - 9y = $40 + $200 = $240

11x = $240 + 9y

x = ($240 + 9y)/11

Now we can replace this in the other equation:

$350 - 13*x + 28*y = $130

$350 - 13*($240 + 9y)/11 + 28*y = $130

Now we can solve this for y.

- 13*($240 + 9y)/11 + 28*y  = $130 - $350 = -$220

-13*$240  - (13/11)*9y + 28y = - $220

y*(28 - (9*13/1) ) = -$220 + (13/11)*$240

y = ( (13/11)*$240 - $220)/(28 - (9*13/1) ) = $3.66

We know that:

x = ($240 + 9y)/11

Replacing the value of y, we get:

x = ($240 + 9*$3.66)/11  = $24.81

And the equation of z is:

z = $50 - 2*x + 3*y = $50 - 2* $24.81 + 3*$3.66 = $11.36

Then:

Price of X is $24.81

Price of Y is $3.66

Price of Z is $11.36

Answer:

Greatest = 10,049

Least = 9,950

Step-by-step explanation:

Given that:

attendance was rounded as 10,000 to the nearest hundred

The greatest number of people that could have attended the parade is 10,049, this is because, the digit in the hundred place is 0, hence, since the next digit after 0 is less than 5, all subsequent digits are rounded down to 0 = 10,000.

If the number is goes 1 above 10,049 to 10,050, the rounding to the nearest hundred gives 10,100

The least number of people that could have attended should be 9,950; the digit in the hundred place is 9, since the digit after 9 is up to 5, then it is rounded to 100 and added to 9,900 to give 10,000.

If the number goes 1 less than 9950 to 9949, then rounding to the nearest hundred gives 9900.

=48

Multiply by 1

Add 1 1 11 11

to both sides of the equation

Answer:

The answer is 48

Step-by-step explanation:

First, add 11 to both sides

5 + 11 = 16

1/3x = 16

Next, times 16 by 3

16 times 3 = 48

Check!

1/3(48) = 16

16 - 11 = 5

X = 48

Problems:

Solve for x: 2x - 5 > 9x + 2

Solve for x: 3x + 2 < 7x - 5

Solve for x: 4x + 3 < 2x - 1

Solve for x: -2x - 4 > -8x + 3

Solve for x: 5x + 1 < 2x + 7

Answers:

x < -0.7

x > 1.75

x < -1

x < 0.875

x < 1.2

Answer:  

Example 1

Solve 3x − 5 ≤ 3 − x.

Solution

We start by adding both sides of the inequality by 5

3x – 5 + 5 ≤ 3 + 5 − x

3x ≤ 8 – x

Then add both sides by x.

3x + x ≤ 8 – x + x

4x ≤ 8

Finally, divide both sides of the inequality by 4 to get;

x ≤ 2

Example 2

Calculate the range of values of y, which satisfies the inequality: y − 4 < 2y + 5.

Solution

Add both sides of the inequality by 4.

y – 4 + 4 < 2y + 5 + 4

y < 2y + 9

Subtract both sides by 2y.

y – 2y < 2y – 2y + 9

Y < 9 Multiply both sides of the inequality by −1 and change the inequality symbol’s direction. y > − 9

Solving linear inequalities with subtraction

Let’s see a few examples below to understand this concept.

Example 3

Solve x + 8 > 5.

Solution

Isolate the variable x by subtracting 8 from both sides of the inequality.

x + 8 – 8 > 5 – 8 => x > −3

Therefore, x > −3.

Example 4

Solve 5x + 10 > 3x + 24.

Solution

Subtract 10 from both sides of the inequality.

5x + 10 – 10 > 3x + 24 – 10

5x > 3x + 14.

Now we subtract both sides of the inequality by 3x.

5x – 3x > 3x – 3x + 14

2x > 14

x > 7

Solving linear inequalities with multiplication

Let’s see a few examples below to understand this concept.

Example 5

Solve x/4 > 5

Solution:

Multiply both sides of an inequality by the denominator of the fraction

4(x/4) > 5 x 4

x > 20

Step-by-step explanation:

Hope this helps :3

Answer:

137,280 feet

Step-by-step explanation:

1 mile = 5280 feet

26 * 5280 = 137280

Best of Luck!

Answer:

A marathon is about 26 miles long. Which of these shows how to convert 26 miles to feet?

Step-by-step explanation:

Pretty sure thats the answer

Answer:

Explanation:

Step-by-step explanation:

Answer:

g(1) = -4

Step-by-step explanation:

Given that,

→ x = 1

Then the value of g(1) will be,

→ g(x) = -x - 3

→ g(1) = -1 - 3

→ [ g(1) = -4 ]

Hence, the answer is -4.

Answer:

GIVEN :

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1

TO FIND :

The properties of operations allow Patti to simplify.

SOLUTION :

Given that Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.

Option d) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

For :

Patti's expression is (70 + 12.8 + 30) + 6.1

By using the commutative property of addition

a+b=b+a

(70 + 12.8 + 30) + 6.1

= (70+30+12.8)+6.1  (here a=12.8 and b=30)

∴ the properties of operations allow Patti to take is the commutative property of addition.

Answer:

-ab

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

Positive * negative = negative

The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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Answer:

The third option

Step-by-step explanation:

I did the math x less than or equal to 0.5

Answer:

n=number of terms (60)

Step-by-step explanation:

an= -4+12(n-1)

a60= -4+12(60-1)

a60= 704

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer:

13 inches of wire can be bought for 52 cents.

Step-by-step explanation:

→ We can use proportion to solve:

\( \frac{19 \: inches}{76 \: cents} = \frac{x}{52 \: cents} \\ \\ \frac{76x}{76} = \frac{988}{76} \\ \\ x = 13\)

Answer:

D

Step-by-step explanation:

2.25x50=112.5

112.5 rounds up to 113, which is D

Answer:

33.75?

Step-by-step explanation:

2.25*15

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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The probability that there is at least one car that has no working tires is given as follows:

0.0002 = 0.02%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

For each car, the parameters are given as follows:

p = 0.9, n = 4.

Hence the probability that a car has no working tires is given as follows:

P(X = 0) = (1 - 0.9)^4 = 0.0001.

Hence the probability that two cars have working tires is given as follows:

P(X = 2) = (1 - 0.0001)² = 0.9998.

The probability that at least one has no working tires is given as follows:

P(X < 2) = 1 - 0.9998 = 0.0002 = 0.02%.

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Answer:

12x+10

Step-by-step explanation:

10x+2(x+5)

10x+2x+10

12x+10

Answer:

it would be decreased by 15% lol

Step-by-step explanation:

Answer:

n < 4

Step-by-step explanation:

\(\frac{1}{2} n+3<5\)

     -3     -3

\(\frac{1}{2} n\) < 2

divide  both sides by \(\frac{1}{2}\)

n < 4

Hope this helps!!!

Answer:

24

Step-by-step explanation:

m × n = 3m - n ÷ 2

6 × (3 × 1)

6 × 4

24

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{4}}}\implies \cfrac{4+2}{-6}\implies \cfrac{6}{-6}\implies -1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-1}(x-\stackrel{x_1}{4}) \\\\\\ y+2=-x+4\implies y=-x+2\)

Answer:

For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:

Step-by-step explanation:

The statement noncollinear points are points that do not lie on the same line is a postulate. Option C

Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.

It is generally known that non -collinear points are points that do not lie on the same line

Some postulates about non -collinear points are:

Thus, the statement noncollinear points are points that do not lie on the same line is a postulate. Option C

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