Grace bought a string of lights to hang on her patio that we’re 27 feet long.How long did the lights measure in yards

There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

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Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming the colon between 40 and 8 is a mistype...

PEMDAS(Parenthesis, Exponents, Multiplication + Division, Addition + Subtraction)

\(40-8+3^2+(15-7)*2\\\\Parenthesis\\\\40-8+3^2+8*2\\\\Exponents\\\\40-8+9+8*2\\\\Multiplication\\\\40-8+9+16\\\\Subtraction\\\\32+9+16\\\\Addition\\\\41+16\\\\Addition\\\\57\)

Hope it helps <3

━━━━━━━☆☆━━━━━━━

▹ Answer

57

▹ Step-by-Step Explanation

You need to follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

40 - 8 + 3² + (15 - 7)* 2

40 - 8 + 9 + (15 - 7) * 2

40 - 8 + 9 + 8 * 2

40 - 8 + 9 + 16

= 57

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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The quadratic equations and their factors are simplified below

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x² term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.

1) (x - 5)(x - 5) = x² - 5x - 5x + 25 = x² -10x + 25

2) (x + 2)(x + 9) = x² + 2x + 9x + 18 = x² + 11x + 18

3) (x + 2)(x + 3) = x² + 2x + 3x + 6 = x² + 5x + 6

4) (x + 1)(x + 2) = x² + x + 2x  + 2 = x² + 3x + 2

5) (x - 3)(x - 3) = x² - 3x - 3x + 9 = x² - 6x + 9

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Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Hope this helps !!

Step-by-step explanation:

The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

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Answer:

Option 2)

Step-by-step explanation:

In a function, any number can be an x-coordinate only once.

Option 1) The 2 appears twice as x.

Option 2) All x-coordinates are different.

Option 3) The 2 appears twice as an x-coordinate.

Option 4) The 3 appears twice as an x-coordinate.

Answer: Option 2)

Answer:

T =54 degrees

since x=10

6x-6 =54

are you clear, if yes give me brainliest and if no draw my attention by hitting the comment section

Answer:

g(- 4) = - 32

Step-by-step explanation:

substitute x = 4 , g(4) = - 4 into g(x)

4a + b = - 4 → (1)

substitute x = 6 , g(6) = 3 into g(x)

6a + b = 3 → (2)

subtract (1) from (2) term by term to eliminate b

2a + 0 = 3 - (- 4)

2a = 3 + 4 = 7 ( divide both sides by 2 )

a = 3.5

substitute a = 3.5 into (1) and solve for b

4(3.5) + b = - 4

14 + b = - 4 ( subtract 14 from both sides )

b = - 18

Then

g(x) = 3.5x - 18 , so

g(- 4) = 3.5(- 4) - 18 = - 14 - 18 = - 32

Answer:

g(-4) = -32

Explanation:

g(x) = ax + b

If g(4) = -4

-4 = a(4) + b

4a + b = -4

b = -4 -4a ............equation 1

If g(6) = 3

3 = a(6) + b

6a + b = 3

b = 3 - 6a ............equation 2

solving simultaneously:

3 - 6a =  -4 -4a

-6a + 4a = -4 -3

-2a = -7

a = 3.5

b = 3 - 6a

b = 3 -6(3.5)

b = -18

equation found: g(x) = 3.5x - 18

then g(-4)

3.5(-4) - 18

-32

Answer:

-3

Step-by-step explanation:

divide top by bottom

-18 / -6 = -3

which makes -18/6 have a whole number of -3

<3 Enjoy,

    Dea

Awnser

-3

Step-by-step explanation:

because if you simplify -18/6 you get 3

Answer:

I called her two times, but she did not call back

Step-by-step explanation:

main clause, then subordinate clause(:

Answer:

I called her two times, but she did not call back.

Y=2x+6

x=2y+6

2y=6-x/÷2

y=\(\frac{6-x}{2}\)

Answer:

1.6

Step-by-step explanation:

you divide 112/70 and you get 1.6

Answer:

B

Step-by-step explanation:

To find \((\frac{f}{g} )(x)\) you can write the expression as \(\frac{f(x)}{g(x)}\). We can substitute the f(x) and g(x) into the expression to get: \(\frac{\sqrt[3]{4x} }{2x+3}\). Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write:  \(2x + 3\neq 0\) and we can solve it:

\(2x\neq -3\)

\(x\neq -\frac{3}{2}\)

This is the same as option B.

The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct

Given the functions

f(x) = 3√4x

g(x) = 2x + 3

We are to find the resulting function (f/g)(x)

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Restriction to the function occurs at the point where the denominator is zero.

2x = 3 = 0

2x = -3

x = -3/2

Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2

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Answer:

Step-by-step explanation:

(7n+6n)+(-8t-6t)

13n-14t

Answer: 8t+6t=14t, and 7n+6n=13n, so 13n+14t=27nt or just 27

I hope this helps if not im sorry i did not get it right.

Have a good weekend.

Answer:

a

   The  percentage is

            \(P(x_1 < X < x_2 ) = 51.1 \%\)

b

   The probability is  \(P(Z > 2.5 ) = 0.0062097\)

Step-by-step explanation:

From the question we are told that

        The  population mean is  \(\mu = 800\)

        The  variance is  \(var(x) = 1600 \ kg\)

        The  range consider is  \(x_1 = 778 \ kg \ x_2 = 834 \ kg\)

         The  value consider in second question is  \(x = 900 \ kg\)

Generally the standard deviation is mathematically represented as

        \(\sigma = \sqrt{var (x)}\)

substituting value

        \(\sigma = \sqrt{1600}\)

       \(\sigma = 40\)

The percentage of a cucumber give the crop amount between 778 and 834 kg  is mathematically represented as

       \(P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )\)

    Generally  \(\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)\)

So

      \(P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )\)

      \(P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)\)

From the z-table  the value for  \(P(z_1 < 0.85) = 0.80234\)

                                            and \(P(z_1 < -0.55) = 0.29116\)  

So

             \(P(x_1 < X < x_2 ) = 0.80234 - 0.29116\)

             \(P(x_1 < X < x_2 ) = 0.51118\)

The  percentage is

            \(P(x_1 < X < x_2 ) = 51.1 \%\)

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

             \(P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )\)

substituting values

             \(P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )\)

             \(P(X > x ) = P(Z >2.5 )\)

From the z-table  the value for  \(P(Z > 2.5 ) = 0.0062097\)

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of \(\frac{3}{2}\) centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = \(\sqrt{(0+4)^2+(6+4)^2}\)

                                              = 10.77

Distance between M' and N' = \(\sqrt{(0+6)^2+(6+6)^2}\)

                                                = 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

9514 1404 393

Answer:

  4983

Step-by-step explanation:

Your answer could be any value between 4950 and 5049, inclusive. Below 4950 rounds down; 5050 and above rounds up.

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Substituting the values for the letters, we have

3(10) + 4(0) -18

30 + 0 - 18

30 - 18

= 12

Step-by-step explanation:

Step 1:  Answer part a

He has 3.5 pounds of clay and each bowl is 0.5 pounds of clay.  Therefore, 3.5 / 0.5 will give us the amount of bowls he can make.  

3.5 / 0.5

7

Answer: He can make 7 bowls

Step 2:  Answer part b

I don't really understand what the questions asking about how much clay does he need to make with all of his clay.  If you explain what that means I can answer it.

If you meant how much mugs he is able to make → 14

If you meant how much clay he needs to have for each mug → 0.25

Answer & Explanation:

Part A

It gives us 2 numbers to determined how much bowls he can make.

He need 0.5 of clay to make 1 bowl and he has 3.5 pounds of clay.

\(3.5\) ÷ \(0.5\)

= \(7\)

He can make 7 bowls out of the 3.5 pounds of clay that he has.

Part B

This question is very confusing...

He can make 1 mug with 0.25 pounds of clay.

\(3.5\) ÷ \(0.25\)

= \(14\)

He can make 14 mugs if he uses all of his clay.

hope this helps

give brainliest if you please

Answer:

28

Step-by-step explanation:

So 1% of 350 would be 3.5 because 350 divided by 100 is 3.5. You then get 3.5 and multiply it 8 times, which would be 28. (You multiply it 8 times because 8% is 8 times 1%.)

Answer:

this is hard i think its is 28

Step-by-step explanation:

because i put 128 and got it correct

Answer:

The correct answer would be 3) S.

Step-by-step explanation:

If you draw a line from points c to e, s is crossing paths with it. therefore, s is the answer.

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

umm way too complicated for me

Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole

Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.

It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.

To calculate the proportion of red marbles in each sample

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Answer:

This is late, but the answer was B.

Answer:

The answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

to get the area of the given figure,

we need to split it in to two (see attached)

then area of a rectangle = length x width

A1 = 15 cm x 4 cm = 60 cm²

A2 = 5 cm x 4 cm = 20 cm²

Area = A1 + A2

        = 60 + 20

        = 80 cm²

Area in this figure will be 80cm².

The area of the rectangle can be calculated by the product of length and breadth of the rectangle.

A=l*b

where l is length and b is the breadth.

So according to asked question in the drawn figure,

connect the point B and G.

now this figure will give two rectangle i.e. ABGH and CDEF

Rectangle ABGH has length l=5cm

breadth b=4cm

area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²

Now CF=CB+BG+GF=5+5+5=15

Rectangle CDEF has length l=CF=15cm

breadth b=4cm

area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²

Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF

=20cm²+60cm²

=80cm²

Therefore area in this figure will be 80cm².

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