Which expression uses the associative property to make it easier to evaluate
6(1/3 • 7/5

I need help fast plz

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer:

DEF can have possible side lengths of 28, 16, 20.8

Step-by-step explanation:

Triangle Similarity

If the three sides of two triangles have the same proportion, the triangles are similar (SSS theorem).

Triangle ABC has side lengths of 14, 8, and 10.4.

Any other triangle whose side lengths are the same lengths of ABC multiplied by a constant scale factor is similar to ABC.

For example, select scale factor 2. Thus, the triangle of side lengths 2*14=28, 2*8=16, and 2*10.4=20.8 is similar:

DEF can have possible side lengths of 28, 16, 20.8

Any other scale factor will do.

Answer:

the solution to the equation is m = 28/3, or approximately 9.3333

Step-by-step explanation:

To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:

3m/2/3 = 7

(2/3) * (3m/2/3) = (2/3) * 7

3m/2 = 7 * (2/3)

3m/2 = 14/3

Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:

(2) * (3m/2) = (2) * (14/3)

3m = 28/3

Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:

(3m) / 3 = (28/3) / 3

m = 28/3

Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.

Answer:

Maybe m = 14/9

Maybe m = 14

Step-by-step explanation:

It is not clear what you mean by the fraction on the left side.

Do you mean

3m/(2/3) = 7  ?

If so:

3m = 7 × 2/3

3m = 14/3

m = 14/9

Do you mean

(3m/2)/3 = 7   ?

If so:

3m/2 = 21

m = 21 × 2/3

m = 14

Do you mean something else?

Answer:

B $45.26

Step-by-step explanation:

After 10 years

Emily will have 500 * 1.045^10 = $795.26

Erica will have 500 + 10*0.05*500 = 500 * 1.5 = 750$

Emily will have $45.26 more.

The area of the walkway is 50 ft².

Given:

Width of the walkway = 5 ft

Length of the walkway = 27 ft

1. Outer Rectangle:

The outer rectangle represents the overall dimensions of the walkway.

Area of the outer rectangle = Length * Width

= 27 ft * 5 ft

= 135 ft²

2. Inner Rectangle:

To find the dimensions of the inner rectangle, we need to subtract twice the width of the walkway from the original dimensions.

Length of the inner rectangle = Length - 2 * Width

= 27 ft - 2 * 5 ft

 = 27 ft - 10 ft

= 17 ft

Width of the inner rectangle = Width - 2 * Width

= 5 ft - 2 * 5 ft

= 5 ft - 10 ft

= -5 ft (Note: The width cannot be negative, so we take the absolute value.)

Area of the inner rectangle = Length * Width

= 17 ft * 5 ft

= 85 ft²

3. Area of the Walkway:

Area of the walkway = Area of the outer rectangle - Area of the inner rectangle

= 135 ft² - 85 ft²

= 50 ft²

Therefore, the area of the walkway is 50 ft².

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The value of XZ is given by 26.

Given that the triangles RST and XYZ are congruent to each other.

So, RS = XY, since corresponding parts of Congruent triangles are equal.

Given also that,

RS = 11x-1

XY = 9x+5

XZ = 7x+5

So, RS = XY gives

11x-1 = 9x+5

11x-9x = 5+1

2x = 6

x = 6/2

x = 3

Substituting the value of x in the value of XZ is given by,

XZ = 7x+5 = 7*3+5 = 21+5 = 26

Hence the value of XZ is 26.

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Answer:

Johnny need  to collect:

82 apples

Step-by-step explanation:

Johnny has 86 apples

Need 168 applles

Then, he needs:

168 - 86 = 82

Answer:

The mother is 30 and the daughter is 6

Step-by-step explanation:

When solving for this, you can derive the equations

x=5y and x+6= 3(y+6)

x= mother and y= Daughter

Solve the equations by substituting the first equation into the places of x in the second equation to get the value of x. Next, pug in the value of x and solve for y.

Answer:

graph 1

symmetry about the x and y axes

graph 2

symmetry about the y axis

graph 3

symmetry about the y axis

Step-by-step explanation:

try to imagine that you folded the graph by the x axis or y axis. If the to side of the graph are overlapping, the graph is symmetry across the axis you folded.

Hope this helps.

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

1. The chi-squared statistic = 10.36

The degrees of freedom = 17

The p-value for the test = 0.89

2. The range of the p-value from the Chi squared table = 0.75 < p-value < 0.90

Step-by-step explanation:

1. The Chi squared test is given as follows;

\(\chi ^{2} = \sum \dfrac{\left (Observed - Expected \right )^{2}}{Expected }\)

Therefore,

                              UTI   No UTI    %     Total

Cranberry juice       8           42      84     50

Lactobacillus          19          30       61     49

Control                    18          30      60    50

The chi-squared statistic is given as follows;

\(\chi ^{2} = \dfrac{\left (8- 18\right )^{2}}{18} + \dfrac{\left (42 - 30\right )^{2}}{30} = 10.36\)

The chi-squared statistic = 10.36

The degrees of freedom, df = 18 - 1 = 17 since the all of the expected count have a minimum value of 18

With the aid of the calculator we find the p value as p as follows;

\(p = 0.9 - \dfrac{10.36 - 10.085}{12.972 - 10.085} \times (0.9 - 0.75)\)

The p-value for the test = 0.89  

2. The range of the p-value from the Chi squared table is given as follows;

0.75 < p-value < 0.90.

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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Answer: 13x

Step-by-step explanation:

He multiply 13 by both side which caused a error

Answer:

You have to combine like terms. The 6 and the 5 go together to make 11. The -2x and the 4x go together to make 2x

The simplified answer should be 2x+11

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

A triangle's angles add up to 180

Also, angles on a straight line add up to 180

180-100 = 80

80+70=150

180-150=30

Answer:

x = 30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

100° is an exterior angle of the triangle, then

x + 70 = 100 ( subtract 70 from both sides )

x = 30

Answer: bottom right

Hey there!

|6w - 18| = 12

You can say:

|6w - 18| = 12

6w - 18 = 12 or 6w - 18 = -12

First let’s solve for: 6w - 18 = 12

6w - 18 = 12

ADD 18 to BOTH SIDES

6w - 18 + 18 = 12 + 18

SIMPLIFY IT!
6w = 12 + 18

6w = 30

DIVIDE 6 to BOTH SIDES

6w/6 = 30/6

SIMPLIFY IT!

w = 30/6

w = 5

Second let’s solve for: 6w - 18 = -12

6w - 18 = -12

ADD 18 to BOTH SIDES

6w - 18 + 18 = -12 + 18

SIMPLIFY IT!

6w = -12 + 18

6w = 6

DIVIDE 6 to BOTH SIDES

6w/6 = 6/6

SIMPLIFY IT!
w = 6/6

w = 1

Therefore, your answer should be:

w = 5 or w = 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

y=2x

Step-by-step explanation:

First you find out what times what equals 2 and that's it

Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

The correct options are B and D

B. Eagle ride 2 times

D. Black Bear 1 time, Doe Run 2 times

To know the correct option, we need to test each of the options to see which one would be 25 miles or less.

1. Doe run 3 times

2. Eagle ride 2 times

3. Black Bear 2 times, Eagle ride 1 time

4. Black Bear 1 time, Doe Run 2 times

The correct options are B and D

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{5}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

that means that the slope of line L is also 5, or 5/1 or   \(slope=\cfrac{\stackrel{rise}{5}}{\underset{run}{1}}\)

Check the picture below.

Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

Using monthly payment, the total amount paid is $18200.25 with an $1320.25 interest on the loan

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates

The formula to calculate monthly payment of a loan is given as

A = P[r(1 + r)ⁿ] / (1 + r)ⁿ - 1

where;

A)

Substituting the values into the formula

P = 21100 - 4200 = 16900

The interest rate on the loan is 3%;

Solving for A;

A = 16900[0.03(1 + 0.03)^60] / (1 + 0.03)^60 - 1

A = $18,220.25

b) The total interest he will pay is the final payment - principal

Interest = $1,320.25

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Answer:

123.88

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

Sum of Interior Angles of Pentagon = 540 (5-2) × 180

148 + 112 + 10 + 2x + 2x = 540

270 + 4x = 540

4x = 540 - 270

4x = 270

x = 270/4

x = 67.5

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Answer:

y=3/2x+3

Step-by-step explanation:

The slope is 3/2. The slope is m. We plug 3/2 into our equation.

y=mx+b

y=(3/2)x+b

Now we have to find b.

B is 3 because that's where it crosses the y axis.

So y=3/2x+3

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

Answer:

B

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that you could order 240 different waffle cone specials could you possibly order from the Combinatorial Creamery.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

For this problem, we have that the parameters are found as follows:

Thus, the number of cones is given by:

N = 10 x 24 = 240.

240 different waffle cone specials could you possibly order from the Combinatorial Creamery.

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Answer:

L²=(3-0)²+(4-0)²

L²=9+16

L²=25

L=5units