Five friends together earned $165 raking leaves. they divided the money evenly among the 5 of them. maria earned another $10 walking a neighbor's dog. how much money did maria earn in all?

The product of the numbers (2) (-3) (-4) is:

By verifying the options one after the other, to check which is also equal to 24, we have:

Hence, the correct options are C and D

Answer: £14

Step-by-step explanation:

Divide the pounds from the chairs, in this case £84 / 6 is £14. So each chair costs £14.

Given at the figure 1

A right triangle of legs of 10 and 16

We need to find the angle x

The side of 16 represent the opposite side of the angle x

The side of 10 represents the adjacent side of the angle x

According to the known sides, we can find x using tan function :

So,

Rounding to the nearest degree

So, the measure of angle x = 58

Answer:

  (a)  10x -10 = 8x

Step-by-step explanation:

Given the lengths of corresponding sides in congruent triangles are 10x-10 and 8x, you want to know the correct equation needed to solve for x.

Corresponding parts of congruent triangles are congruent, so the corresponding sides (10x -10) and (8x) are the same length. The equation that expresses this relationship is useful for finding the value of x:

  10x -10 = 8x

__

Additional comment

The nature of the answer choices suggests that the values (10x-10) and (8x) could be considered to be the measures of the right angles. These two equations would give different values of x.

We interpret the figure as showing these expressions represent the lengths of the segments opposite the marked acute angles.

Answer

x = 30

Explanation

We need to find the value of x in the proportion

Hope this Helps!!!

Answer:

The answer is -17

Step-by-step explanation:

Add all the numbers together:

-12-10 is -22

Then -22+5= -17

Answer:

The answer is C.

Step-by-step explanation:

y=mx+b

m represents slope

b represents the y-intercept

In the problem, it is asking you to make an equation just plug it in!

y=3x-1

Hope this helps!

The width of the cooling tower at the base of the structure is 40 meters.

For the given question,

The equation modelling the cooling tower's walls is -

x²/400 - (y-110)²/2,304 = 1

This can be written as;

x²/20² - (y-110)²/48² = 1

Comparing the equation with the standard form of ellipse;

(x-h)²/a² - (y-k)²/b² = 1

The base of the ellipse will be its major axis,

That is 2a.

Thus,

For the width of the colling tower.

Cooling tower width =2√400

Cooling tower width = 2×20

Cooling tower width= 40 meters

Thus, the width of the cooling tower at the base of the structure is 40 meters.

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The equivalent expression of the given complex fraction is (5x - 2y)/(3x - 2y).

We are given a fraction. The fraction is complex in nature. A fraction is a portion of a whole or, more broadly, any number of equal parts. A complex fraction is a rational expression that contains a fraction in either the numerator or the denominator. Let the complex fraction be represented by the variable "F". The fraction is given below.

F = [(-2/x) + (5/y)]/[(3/y) - (2/x)]

We have to convert this complex fraction into a simple mathematical expression. A mathematical expression is a finite collection of symbols that is well-formed according to context-specific norms. Let the expression be represented by the variable "E".

E = [(-2y + 5x)/x*y]/[(3x - 2y)/x*y)]

E = [(-2y + 5x)/(3x - 2y)]/[x*y/x*y)]

E = [(5x - 2y)/(3x - 2y)]*1

E = (5x - 2y)/(3x - 2y)

The complete question is given below.

Which expression is equivalent to the following complex fraction?

[(-2/x) + (5/y)]/[(3/y) - (2/x)]

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Answer:

Angle 1: 56 degrees

Angles 2: 56 degrees

Angles 3: 74 degrees

Step-by-step explanation:

triangles angles added up equal 180

So we add the 2 angles in the first triangle to find angle 1

58+66

124

Then subtract by 180

180-124

56

Angle 1 is 56 degrees

angles 2 is also 56 degrees since they are corresponding angles

Now we know 2 angles of the second triangle and to find angle 3 we add the 2 angles

56+50=106

And subtract by 180

180-106

74

Angles 3 is 74 degrees

Hopes this helps please mark brainliest

b.

To determine how many accounts will minimize the long run average cost.

Given the function;

We need to plot a graph of the function and identify the lowest point on the graph ( since we are minimizing).

Above is a section of the graph of the function.

The lowest point on the graph is at;

Therefore, the number of accounts that will minimize the long run average cost is 24 accounts.

Also, the minimum long run average cost is 0

c.

We want to determine whether the territories should be merged together.

To do this we will check their average long run cost when they merge and compare to their average long run cost when they are separate;

When the merge, the total number of accounts is;

So, the long run average cost is;

When they are separate, as calculated in a.

the long run average cost for both is;

So, since the long run average cost for when they merge is greater that the total long run average cost when the are separate, then they should not merge the two territories because merging the two territories increases the long run average cost. And we all know the aim is to always try to reduce cost.

Therefore, they should not merge

To solve the exercise, first it is convenient to convert the mixed number to decimal:

Now, you can use a rule of three:

Therefore, Ethan did earn $ 448.50 last week.

The value of mDE =45, F.D=4, A.F=8

A circle is a spherical shape that lacks corners and edges. A circle is a two-dimensional, closed curved shape.

Given that diameter is 12 cd =8 and mcd =90

We have to find mDE =?, F.D, A.F

From the given diagram

Diameter = BE = 12

CD =8 so C.F=D.F=4

Let EF = x then B.F =12- x

BY properties of circle C.F × FD = B.F x EF

4 x 4 = x(12-x)

X2 – 12x + 16 =0

Because BE is the diameter and CD is the perpendicular, we can conclude that arcs CE and DE are equal.

arc(CD) = arc(CE) + arc(DE)

90 = 2.arc(CE)

arc(CE) = 45 = arc(DE)

A.F= 12 – 4 =8

Therefore the value of mDE =45, F.D=4, A.F=8

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Answer:

The value of mDE =45, F.D=4, A.F=8

A circle is a spherical shape that lacks corners and edges. A circle is a two-dimensional, closed curved shape.

Step-by-step explanation:

The number of chicken wing orders is 90 and the number of sliders is 45.

According to the question,

We have the following information:

Each order of chicken wings sells for $7.25-while each order of hamburger sliders sells for $3. On Friday, Tyler made a total of $595 in revenue from all sliders and wings-sales. There were twice as many chicken wing orders sold than there were sliders sold.

Now, let's take the number of sliders to be x and the number of chicken wing orders to be y.

y = 2x

Now, we have the following expression:

7.25x+3(2x) = 595

7.25x+6x = 595

13.25x = 595

x = 45 (This value is rounded off to a whole number)

Now, the number of wing sales:

y = 2*45

y = 90

Hence, the number of chicken wing orders is 90 and the number of sliders is 45.

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K:

1/2 and 3/4 are NOT equivalent.

If you divide 1 by 2, the result is 0.5

If you divide 3 by 4, the result is 0.75

Therefore, they are NOT equivalent

1/2 and 2/4 are equivalent:

If you divide 1 by 2, the result is 0.5

If you divide 2 by 4, the result is also 0.5

Now, you can answer the question.

Answer:

Step A is incorrect.

[tex] {x}^{2} = x - 6[/tex]

[tex] {x}^{2} - x + 6 = 0[/tex]

Jon should have subtracted x from both sides and then added 6 to both sides.

Answer: 10

Step-by-step explanation: Congruent means they are the same, so you set up the problem as 8x+24=12x-16. Then you just solve for x. Subtract 8x from both sides to get 24=4x-16. Then add 16 to both sides. 40=4x. Then divide by 4 into both sides to get x=10.

Exponential function models is v(x) = 9,000(0.9)ˣ

Lets take two year data (0,9000) and (1,8100)

using the general form of exponential function y = abˣ and substitute value of x and y as (0,9000)

9000 = ab⁰

9000 = a.1

9000 = a

Again using general form of exponential function and taking x and y as (1 , 8100)

8100 = ab¹

substitute a = 9000 in above equation

8100 = 9000×b

b = 8100/9000

b=0.9

putting value of a and b in general form of exponential function

v(x) = 9000(0.9)ˣ is required exponential function model

correct answer is option B

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It will take 56.25 minutes to cut the log into 15 pieces.

Two or more expressions with an equal sign are defined as an equation.

Given that, James takes 15 minutes to cut the log into 4 pieces, which can be represented by:

4 pieces = 15 minutes

1 piece = 15/4 minutes

15 pieces = (15/4)×15 minutes

15 pieces = 56.25

Hence, it will take 56.25 minutes to cut the log into 15 pieces.

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Answer:

-128/147 cm/min

Step-by-step explanation:

[tex]A=\frac{1}{2}bh \\ \\ 90=\frac{1}{2}(10.5)b \\ \\ b=\frac{120}{7} \\ \\ \\ A=\frac{1}{2} bh \\ \\ \implies \frac{dA}{dt}=\frac{b}{2} \frac{dh}{dt}+\frac{h}{2} \frac{db}{dt} \\ \\ 4=\frac{21}{4}+\frac{db}{dt}+\frac{60}{7} \\ \\ \frac{db}{dt}=-\frac{128}{147}[/tex]

C) 24.10

1) Considering that rational numbers are any number that can be written as a ratio.

The number 23.07 is the same as 2307/100 and

The number 24.11 is the same as 2411/100

If we take the number line, we have a rational number 24.10 between those.

Because 24.10 can be written as 2410/100

Given the inequality:

Solve for g, subtract 8 from both sides

so, the answer will be:

2nd Question)

1) Considering that this is a line segment R(5,8) and P(3,6). Let's find out the distance between those points using the distance formula, derived from the Pythagorean Theorem:

2) Let's now find the slope between those points, making use of the slope:

The next step is to fill in the table, so:

m: 1

Parallel slopes are identical so we can state:

║m = 1

Perpendicula

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

The slope intercept form of the required line is 2x - y = -8

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Slope of the line = 2

The line passes through (-8, -8)

Equation of the required line-

[tex]y - (-8)= 2(x - (-8))\\y + 8 = 2(x + 8)\\y + 8 = 2x + 16\\2x - y = 8 -16\\2x - y = -8[/tex]

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29. The two equivalent expressions for the models are: 3x - 6 and 3(x - 2).

30. 2x + 2 and 2(x + 1).

31. 36x.

32. Another expression for the total cost is: 4(5.25).

Expressions are said to be equivalent expressions when both of them have identical terms, or both gives the same value if the values of the variables in both expressions are plugged in.

29. In the model, we have 3 x's, which is: x + x + x = 3x.

We also have 6 "-1". Which is: 6 × -1 = -6.

An expression for the model would be: 3x - 6

It can also be rewritten as: 3(x - 2).

The two equivalent expressions are: 3x - 6 and 3(x - 2).

30. We have, 2x - 4 + 6 = 2x + 2

It can be rewritten as 2(x + 1).

The two equivalent expressions are: 2x + 2 and 2(x + 1).

31. Let each of the shapes be represented as x. They are 36 in number. Therefore, an expression for the model would be 36x.

32. Another expression that can be used to determine the total cost is: 4(5.25).

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Answer: 2.5, 5.4

Step-by-step explanation:

[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]

A) The monthly percentage rate of Felix is; 1%

B) The monthly percentage rate of Oscar is; 1.25%

C) The amount that Oscar will pay more than Felix is; $2

A monthly interest rate is simply how much percentage interest you would be charged in one month while annual percentage interest rate is defined as the percentage interest rate you will be charged annually.

A) We are told that Felix was given a card with APR of 12%.

Thus;

Monthly percentage rate = 12%/12 = 1%

B) We are told that Oscar was given a card with an APR of 15%. Thus;

Monthly percentage rate = 15%/12 = 1.25%

C) We are told that each of them had an average daily balance of $800 for a specific month.

Thus;

Amount paid by Felix = 800 * 1%

Amount paid by Felix  = $8

Amount paid by Oscar = 800 * 1.25%

Amount paid by Oscar = $10

Difference in Payments = $10 - $8 = $2

Thus, Oscar pays $0.96 more than Felix.

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the equation is of the form y = mx + b, where m = 2, then

for b:

equation is

answer: C.