Can someone show me the steps to do this :( please

Answer:

  B.  The original purchase total must be at most to $44 before the discounts are applied.

Step-by-step explanation:

Solve the inequality by adding $10, then dividing by 0.8.

  0.8x -$10 ≤ $25.20

  0.8x ≤ $35.20 . . . . . . . . add $10

  x ≤ $35.20/0.8 . . . . . . . divide by 0.8

  x ≤ $44 . . . . . . . . . the before-discount purchase must be at most $44

Fine two pints that cross the x and Y axis to use to find the slope.

Slope is the change in Y over the change in x.

(-2,0) (0,3)

Slope = 3-0  /  0- -2 =  3/2

The slope is 3/2 and the Y - intercept is where it crosses the Y axis when X is o, which is 3

The answer is B.

Answer:

B.  m = 3/2; y-int = 3.

Step-by-step explanation:

The y intercept is the point where the line crosses the y-axis. That is  3.

The slope m = rise / run.

So if we take  the y-intercept and the x intercept it is 3/2.

Answer:

10

Step-by-step explanation:

you can add the short section (AB) and the longer section (BC) to get AC which is 3+7=10

According to basic geometric principles, the length of a continuous straight line is the sum of the lengths of its segments. Therefore, if AB = 3 and BC = 7, then AC = AB + BC, which equals 10.

In Mathematics, specifically in geometry, when we talk about points and lines, if AB = 3 and BC = 7, then the whole length of the line AC, which includes AB and BC, is simply the sum of AB and BC. Therefore, AC = AB + BC.

To calculate it, just add these two lengths together, 3 + 7, which equals 10. So, AC = 10.

This is a fundamental principle in math that when you have a continuous straight line divided into segments, the total length of the line is equal to the sum of the lengths of its segments. This can be easily visualized if you imagine a ruler, with AB being the first 3 units, and BC being the next 7 units. The total length AC represents all 10 units.

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Answer:

A. TRUE

Step-by-step explanation:

To verify if that value 5 is a solution, you place it in the equation instead of 'x' and see if the equality is respected at the end.

The equation is: x² - 6x + 5 = 0

Now, let's replace x by 5:

5² - 6 (5) + 5 = 0

25 - 30 + 5 = 0

-5 + 5 = 0

0 = 0

Since 0 = 0 is true, the value 5 is a valid solution for this equation.

If we had tried with 6, it would have ended with

36 - 36 + 5 = 0

5 = 0

So, 6 is NOT a solution.

Answer:

Perimeter for first shape = 38 ft

Perimeter for second shape = 40 inches ..

Step-by-step explanation:

First we will define the perimeter.

The continuous line which forms the boundary of a closed geometric figure.

To find the perimeter of any geometrical shape the lengths of its outer boundary lines are added.

So for the first shape with sides 10ft, 4ft, 3ft and 9ft, we don't know the lengths of two sides

1. The side parallel to the 10ft side

and

2. The side parallel to 9ft side.

So the lengths of side will be:

For 1,

10-3 = 7ft

For 2,

9-4= 5ft

the perimeter will be:

=> 10+4+3+9+5+7

=> 38 ft

And for the second shape with sides 6 in ,5 in, 4 in, 3 in, 2 in and 10 in,

the length of one unknown side will be 6 inches as it is parallel and equal in length to the side with 6 in length,

And the length of side that is parallel to the side with length 4 inches will be same.

The perimeter will be:

=>6+5+4+3+2+10+6+4

=> 40 inches

So,

Perimeter for first shape = 38 ft

Perimeter for second shape = 40 inches ..

1. The perimeter of shape is 33 ft.

2. The perimeter of the shape is 40 in ( option B)

The perimeter of a shape is the total length of its boundary or the sum of all its sides. It measures the distance around the shape and is calculated by adding the lengths of its individual sides.

1. The unknown side of the figure is calculated as;

10-3 = 7ft.

The perimeter of the figure is obtained by adding all the sides;

Perimeter = 10+7 + 4 + 3 + 9

= 33 ft.

Therefore the perimeter of the figure is 33ft.

2. The perimeter of the shape = 6 + 6+ 10+5+4+3+2+4 = 40 in

Answer:

$36

Step-by-step explanation:

Answer:

x = 5.5

Step-by-step explanation:

Given 2 secants intersecting the circle from a point outside the circle then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

x(x + 14) = 6(6 + 12)

x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )

x² + 14x - 108 = 0 ← in standard form

with a = 1, b = 14 and c = - 108

Using the quadratic formula to solve for x

x = ( - b ± [tex]\sqrt{b^2-4ac}[/tex] ) / 2a

  = ( - 14 ± [tex]\sqrt{14^2-(4(1)(-108)}[/tex] ) / 2

  = ( - 14 ± [tex]\sqrt{196+432}[/tex] ) / 2

  = ( - 14 ± [tex]\sqrt{628}[/tex] ) / 2

  x = [tex]\frac{-14-\sqrt{628} }{2}[/tex] or x = [tex]\frac{-14+\sqrt{628} }{2}[/tex]

  x = - 19.5 or x = 5.5 ( to 1 dec. place )

However x > 0 ⇒ x = 5.5

Answer:

B. 2

Step-by-step explanation:

[tex] \frac{2(x + 1)}{x + 5} = 1 - \frac{1}{x + 5} [/tex]

Multiply two sides by (x+5), we have

[tex](x + 5) \frac{2(x + 1)}{x + 5} = (x + 5) - (x + 5) \frac{1}{x + 5} [/tex]

so

[tex]2(x + 1) = x + 5 - 1 \\ = > \: 2x + 2 = x + 4 \\ = > x = 2[/tex]

Answer:

  B.  2

Step-by-step explanation:

You can add 1/(x+5), then multiply by (x+5), then subtract (x+3).

[tex]\dfrac{2(x+1)+1}{x+5}=1 \qquad\text{add 1/(x+5)}\\\\2x+3=x+5 \qquad\text{multiply by x+5}\\\\x=2 \qquad\text{subtract x+3}}[/tex]

_____

Sometimes you have to try several methods to find the easiest. One "always works" method is to subtract one side of the equation so you have something that equals zero. Here that would look like ...

[tex]\dfrac{2(x+1)}{x+5}-1+\dfrac{1}{x+5}=0 \qquad\text{subtract the right side}\\\\\dfrac{2(x+1)-(x+5)+1}{x+5}=0 \qquad\text{use a common denominator}\\\\\dfrac{x-2}{x+5}=0 \qquad\text{simplify}\\\\x=2 \qquad\text{the value of x that makes the numerator 0}[/tex]

(6, 7) and (-3, -2)

1. Find the slope.

m = slope

m = (-2 -7)/(-3 -6)

m = -9/-9

m = 1

2. Plug the slope and one of the points into the equation y - y_1 = m(x - x_1).

y - 7 = 1(x - 6)

3. Solve for y.

y - 7 = x - 6

y = x - 6 + 7

y = x + 1

Answer is choice D.

Answer:

∠D = 13°

Step-by-step explanation:

∠A and ∠D are vertical angles and thus are congruent, hence

x - 2 = - 3x + 58 ( add 3x to both sides )

4x - 2 = 58 ( add 2 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

∠D = x - 2 = 15 - 2 = 13°

Step-by-step Answer:

Customer is allowed to choose any five, where order does not count.

This means that there are 11 toppings to choose from for the first one, 10 for the second, 9 for the third, 8 for the fourth, and 7 for the last for a total of 11*10*9*8*7 = 11!/6! choices.

Since order does not count, we have over-counted by 5!, so the final answer should be 11!/(6!*5!) choices.

Mathematically, this number is represented by

C(11,5) = 11!/(6!5!) = 462, and is read

"Combination of 5 choices out of 11", or simply "11 choose 5".

Answer:

Option 2 - 0.682

Step-by-step explanation:

Given : Expression [tex]\sin 43^\circ[/tex]

To find : Use the calculator to find the following expression to the nearest thousandth?

Solution :

Step 1 - Write the expression

[tex]\sin 43^\circ[/tex]

Step 2 -  Using calculator we find the value of [tex]\sin 43[/tex] in degrees.

[tex]\sin 43^\circ=0.6819[/tex]

Step 3 - Convert to the nearest thousandth

[tex]0.6819\approx 0.682[/tex]

Therefore, The value of the given expression is [tex]\sin 43^\circ=0.682[/tex]

So, Option 2 is correct.

Answer:

Choice c.

Step-by-step explanation:

The domain of a rational function is found where the denominator of the fraction is equal to 0.  These are the values that are NOT allowed.  We have to factor the denominator completely to find these values that make the denominator equal 0.  In other words, our denominator right now is:

[tex]x(x^2-16)[/tex]

we set each factor equal to 0:

x = 0 or

[tex]x^2-16=0[/tex]

The left side of that quadratic is the difference of perfect squares, so it factors into the 2 binomials:

(x + 4)(x - 4)

Setting each of those equal to 0 we can solve for the values of x that are not allowed:

If x + 4 = 0, then

x ≠ 4.

If x - 4 = 0, then

x ≠ -4

So the domain for this rational function is:

{x I x ≠ ±4, x ≠ 0},

which is c.

Answer: 2p^2-p

: Quadratic Binomial

Step-by-step explanation:

Answer:

1/12 hour

Step-by-step explanation:

Subtract 3/4 hr from 5/6 hr:  use the LCD 12:

Subtract 9/12 from 10/12 hr:  The difference is 1/12 hr.

Steve watched TV 1/12 hour longer on Tuesday than on Monday.  That's 5 minutes.

This is a secant-tangent problem.

(Whole)(outside) = (tangent)^2

(x + 12)(x) = 8^2

x^2 + 12x = 64

x^2 + 12x - 64 = 0

In this quadratic equation, we see that a = 1, b = 12 and c = -64.

Plug those values into the quadratic formula and solve for x.

Answer:

x = 4

Step-by-step explanation:

Given a secant and a tangent drawn from an external point to the circle, then

The square of the measure of the tangent is equal to the product of the external part and the entire secant, that is

x(x + 12) = 8²

x² + 12x = 64 ( subtract 64 from both sides )

x² + 12x - 64 = 0 ← in standard form

with a = 1, b = 12 and c = - 64

Using the quadratic formula to solve for x

x = ( - 12 ± [tex]\sqrt{12^2-(4(1)(-64)}[/tex] ) / 2

  = ( - 12 ± [tex]\sqrt{144+256}[/tex] ) / 2

  = ( - 12 ± [tex]\sqrt{400}[/tex] ) / 2

x = [tex]\frac{-12-20}{2}[/tex] or x = [tex]\frac{-12+20}{2}[/tex]

x = - 16 or x = 4

However x > 0 ⇒ x = 4

Answer:

  tan(x) = -1 ±√5

Step-by-step explanation:

This is a quadratic equation in tan(x). Let z = tan(x). Then the equation is ...

  z² = 4 - 2z

  z² +2z = 4 . . . . . . . add 2z

  z² + 2z + 1 = 5 . . . . add 1 to complete the square

  (z +1)² = 5 . . . . . . . . write as a square

  z +1 = ±√5 . . . . . . . square root

  z = -1 ±√5 = tan(x) . . . . . subtract 1; use definition of z

Answer:

0.8 and 1.6 miles respectively

Step-by-step explanation:

The two benches divide the length of the path into thirds.  The length of each third is 2.4 miles / 3, or 0.8 mile.

The first bench is at 0.8 mile from the beginning, and the second is at 2(0.8 mile), or 1.6 mile from the beginning.

Answer:

128.605m^2

Step-by-step explanation:

because the kite has equal sides you can simply just do 8.5m x 10.2m+8.5m x 4.93m :D

The answer is A: y=96 The maximum number of moose that the forest can sustain at one time.

Answer:  A) y = 96,

The maximum number of moose the forest can sustain at one time.

Step-by-step explanation:

The horizontal asymptote (H.A.) is the value of y that the graph cannot cross.

Since the degree of the numerator equals the degree of the denominator, divide their coefficients to find the H.A.

[tex]y=\dfrac{60}{0.625}\\\\\\\large\boxed{y=96}[/tex]

Answer:

A

Step-by-step explanation:

5 of the 150 want to take the cruise, so:

p = 5/150

p = 0.03

Answer A.

Answer:

Option A

Step-by-step explanation:

Due to budget constraints they cannot survey all 800 people in the senior class so they randomly select 150 people from the class and ask them their preference.

Out of 150 students, 5 want to go to cruise to Bermuda.

So, the proportion becomes:

[tex]\frac{5}{150}=\frac{1}{30}[/tex]

= 0.033

So, option A is the answer.

Answer:

54 degrees I think is correct

Answer:   36 months

Step-by-step explanation:

total for car        $26,800

down payment - $  1,600

amount leased   $25,200

700 monthly divided into $25,200

700/25200 = 36

Answer:

Step-by-step explanation:

(Tangent Length)^2 = y*(y + 11)   You are going to have to use the quadratic formula on this.

Tangent Length = 7

7^2 = y * (y + 11)

49 = y^2 + 11y  

0 = y^2 + 11y - 49

a = 1

b = 11

c = - 49

When you solve this quadratic equation you get

x1 = 3.40 which is the answer you go with.

x2 = -14.40 which can't be used. A negative length has no meaning.

Answer: 2,000

Step-by-step explanation: 22,000 - 20,000 = 2,000

Angie’s current equity on her car is 2,000

Answer:

[tex]\$2,000[/tex]

Step-by-step explanation:

Equity is defined by difference between total value of the asset and total liabilities.

Value of Angie's car is [tex]\$22,000[/tex] and she owes [tex]\$20,000[/tex] which means:

Total value of asset (car) = [tex]\$22,000[/tex]

Total liability = [tex]\$22,000[/tex]

∴ Equity = [tex]22000 - 20000 = 2000[/tex]

Hence Angie's current equity is [tex]\$2,000[/tex]

Answer:

Explanation:

The relative frequency can be measured as a ratio (proportion) or as a percentage.

As a ratio, the relative frequency is the number of times that the desired outcome is observed (either theoretically or experimentally) divided by the total number of  possible outcomes (theoretically) or  observed (experimentally).

As a percentage, the relative frequency is the ratio multiplied by 100.

This shows it mathematically:

                                       = sum of all (n) frequencies / number of events =

                                       = number of events / number of events = 1

As a percentage, total relative frequency = 1 × 100 = 100

In a relative frequency distribution, the sum of relative frequencies should equal 100% if expressed in percentages, or 1 if expressed in proportions. This signifies that all the data has been accounted for.

After constructing a relative frequency distribution, whether that is summarizing IQ scores of college students or analyzing other data sets, the sum of the relative frequencies will depend on the format in which they are expressed. The sum differs based on whether percentages or proportions were used.

If percentages are used to express the relative frequency, the sum of all percentages should be 100%. This indicates that 100% of the given data set has been account for in the distribution. This is true for all relative frequency distributions, not just those involving IQ scores.

If proportions are used, then the sum of all proportions should equal 1. A proportion is a part-to-whole comparison, where the total or whole is represented by the number 1.

So, the correct answer to your question is A. If percentages are used, the sum should be 100%, if proportions are used, the sum should be 1.

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Answer:

an equation

Step-by-step explanation:

A mathematical statement that two expressions are equal is called an equation.

The word "equation" comes from the same root as "equality"...  so is two sides of an expression are of equal values, they form an equation, like A = B.

When both sides of a statement are not equal to each other, that is an inequality, meaning NOT equal, like A > B.

We have to fill the given statement. The term "equal" represent by sign "=" which shows that two expression are connected.

The given statement is correctly filled with equation.

Given:

The statement is given.

The term equation state that the two expression are equal that means left hand side of the expression and right hand side of expression are equal.

Whereas if the two equation are not equal then it is known as inequality.

Thus, the given statement is correctly filled with equation.

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Answer:

D, B

Step-by-step explanation:

Remember SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

In the first triangle, for angle A, 11 is the adjacent leg, 60 is the opposite leg, and 61 is the hypotenuse.  Therefore:

sin A = 60/61 = 0.98

cos A = 11/61 = 0.18

tan A = 60/11 = 5.45

So the correct answer is D.

In the second triangle, for angle Y, 16 is the adjacent leg and 65 is the hypotenuse.  To find the sine, we need to know the opposite leg.  So first, use Pythagorean theorem to find the opposite leg.

c² = a² + b²

65² = 16² + b²

4225 = 256 + b²

b² = 3969

b = 63

So the sine of Y is:

sin Y = 63 / 65

Answer B.

1. From the given right angle triangle, the adjacent side of angle A is 11 units.

The hypotenuse is 61 units.

We use the cosine ratio to get:

[tex] \cos(A) = \frac{adjacent}{hypotenuse} [/tex]

We substitute to obtain;

[tex]\cos(A) = \frac{11}{61} [/tex]

[tex]\cos(A) = 0.18[/tex]

[tex]A=\cos^{ - 1} (0.18)[/tex]

The correct choice is D.

2. From the given right triangle,

[tex]XZ^2 + {16}^{2} = {65}^{2} [/tex]

[tex]XZ^2 + 256 =4225[/tex]

[tex]XZ^2 =4225 - 256[/tex]

[tex]XZ^2 =3969[/tex]

Take positive square root

[tex]XZ=\sqrt{3969}[/tex]

[tex]XZ=63[/tex]

[tex] \sin(Y) = \frac{opposite}{hypotenuse} [/tex]

[tex]\sin(Y) = \frac{63}{65} [/tex]

The correct answer is B

ANSWER

B. –4, –3, 0, 5

EXPLANATION

The general formula for the sequence is:

[tex]f(n)=n(n-2) - 3[/tex]

To find the first term we substitute n=1

[tex]f(1)=1(1 - 2) - 3 = - 4[/tex]

To find the second term, we substitute n=2

[tex]f(2)=2( 2-2) - 3 = - 3[/tex]

To find the third term,we put n=3;

[tex]f(3)=3(3-2) - 3 = 0[/tex]

To find the fourth term, we put n=4

[tex]f(n)=4(4-2) - 3 = 5[/tex]

The correct choice us B

Answer:

B

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-3x +4y = 20      Multiply this equation by 2.

======================

6x + 3y = 15

-6x + 8y = 40    Notice that -3 becomes -6, 4 becomes 8 and 20 becomes 40

=====================  Add

11y  = 55               The xs have disappeared. Divide by 11

y = 55/11

y = 5

=====================

6x + 3y = 15

6x + 3*5 = 15

6x + 15 = 15

6x = 15 - 15

6x = 0

6x/6 = 0/6

x =0

Answer:

0

Step-by-step explanation: