Q: Wilma estimates that she’ll drive about 18,000 miles during the year. The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighborhood is $2.72. Locate the error in her calculations, and select the correction.

A: Wilma made a mistake in step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.

Answer:

9. 105/-21 = -5

10. -5 + 11 = 6

11. 368 x -16 = -5888

12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)

Answer:

give that 13.3cm is 15% of a certain length, what is the complete length

Answer: A,B and D ARE THE CORRECT ANSWERS

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

5*x = 4*10

5x = 40

Divide by 5

5x/5 = 40/5

x = 8

Area

Base=6cm

Height=12cm

So,

= 1/2×6×12

= (3×12)

= 36 cm²

[tex]\boxed{\blue{ » \: Lear \: math \: with \: Kareninajovanka \: « コ: \: 彡}}[/tex]

Answer:

b 50 degrees bavaggagshdd

[tex] - 50m + 10 - 3m + ( - 13) \\ - 50m + 10 - 3m - 13 \\ - 53m - 3[/tex]

Hope it helps

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Answer:

For the entire United States, excluding Hawaii and Alaska, the average amount of moisture falling as rain and snow is 30.21 inches

Step-by-step explanation:

depends on the state

Answer:

D) 5

Step-by-step explanation:

Because 5x5=25 so the square root would be 5

Answer:

13/32 Susan

5/16 Enrique

9/32 Martin

Step-by-step explanation:

26+20+18=64

26/64=13/32

20/64=5/16

18/64=9/32

Answer:

x=3

Step-by-step explanation:

We can use the slope formula to help complete this question

m = (y2-y1)/(x2-x1)

-1 = ( -6-0)/(x- -3)

-1 = -6/ (x+3)

Multiply each side by (x+3)

-x-3 = -6

Add 3 to each side

-x -3+3 = -6+3

-x =-3

Multiply each side by -1

x = 3

Answer:

  x = 3

Step-by-step explanation:

The given slope and point can be used to write the equation of the line using the point-slope form. To find x for a given y, we can solve that equation.

__

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For (h, k) = (-3, 0), and m = -1, the equation is ...

  y -0 = -1(x -(-3))

  y = -x -3

We want x when y = -6, so this becomes ...

  -6 = -x -3

Adding x+6 to both sides of the equation, we get ...

  (x +6) -6 = -x -3 +(x +6)

  x = 3 . . . . . . . simplify

Answer:

62.

Step-by-step explanation:

because I subtract 70 to 8 equal to 62

Answer:

I think

Step-by-step explanation:

I think 62 hope you have a good day

Step-by-step explanation:

you use Sin60 to find y because Sin60=

[tex] \frac{y}{8} [/tex]

Answer:

False

Step-by-step explanation:

9(k-2)=-6 and k=1

9(1-2)=-6

9(-1)=-6

-9=-6

No, -9 doesn't equal -6.

So this system of equations is false.

Hope this helped! :)

Answer:

b

Step-by-step explanation:

Amount of tax you need to pay on a taxable income of $40,000 is,

= $6423.75

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

According to table, $40,000 falls in the 3rd category between $31,850 and $77,100

And, The tax is "$4,386.25 + 25% of amount over 31,850"

Hence, we have:

= $4,386.25 + 25% of (40,000 - 31,850).

= $4,386.25 + 0.25 x 8150

= $6423.75

Thus, Amount of tax you need to pay on a taxable income of $40,000 is,

= $6423.75

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The rule for construction of Inscribed equilateral triangle

Means if marks are from 1 to 6 then

Or

Now

Here the rest two segments are

Answer:

FB and DB

Step-by-step explanation:

got it right on the test

Answer:

  6√3 ±3 ≈ {7.392, 13.392}

Step-by-step explanation:

The length of AB is the long side of a right triangle with hypotenuse CD and short side (AC -BD). The desired radius values will be half the length of EF, with AE added or subtracted.

__

Radii AC and BD are perpendicular to the points of tangency at A and B. They differ in length by AC -BD = 12 -9 = 3 units.

A right triangle can be drawn as in the attached figure, where it is shaded and labeled with vertices A, B, C. Its long leg (AB in the attachment) is the long leg of the right triangle with hypotenuse 21 and short leg 3. The length of that leg is found from the Pythagorean theorem to be ...

  AB = √(21² -3²) = √432 = 12√3

This is the same as the distance EF. Half this length, 6√3, is the distance from the midpoint of EF to E or F. The radii of the tangent circles to circles E and F will be (EF/2 ±3). Those values are ...

  6√3 ±3 ≈ {7.392, 13.392}

Answer:

6√3 ± 3

Step-by-step explanation:

AC is the radius of Circle C ⇒ radius = 12

DB is the radius of Circle D ⇒ radius = 9

Therefore, CD = AC + DB = 12 + 9 = 21

AE is the radius of Circle E ⇒ radius = 3

BF is the radius of Circle F ⇒ radius = 3

If AB is the common tangent of Circles C, D, E and F, then:

∠CAB =∠AEF = ∠DBA = ∠BFE = 90°

(as the tangent to a circle is always perpendicular its the radius).

Also AB = EF

To find the possible radii of a circle whose center is the midpoint of EF and is tangent to both circles E and F, we first need to find the length of EF (marked by x on the attached diagram).

CD is the hypotenuse of a right triangle with base equal to EF and a smaller leg of the difference between the radii of Circles C and D.

(Refer to the green shaded triangle on attachment 1)

Therefore, to find EF (x), use Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ a² + b² = c²

⇒ 3² + x² = CD²

⇒ 3² + x² = (12 + 9)²

⇒ 9 + x² = 441

⇒ x² = 432

⇒ x = √432

⇒ x = 12√3

⇒ EF = 12√3

As the radius of Circles E and F is 3, the possible diameter of the circle with its center as the midpoint of EF is 6 less or 6 more than the length of EF.

⇒ diameter = EF ± 6

                   = 12√3 ± 6

As the radius is half of the diameter, the possible radii of a circle whose center is the midpoint of EF and is tangent to both circles E and F is:

⇒ radius = diameter ÷ 2

               = (12√3 ± 6) ÷ 2

               = 6√3 ± 3

(see attachments 2 and 3 → the possible circles are shown in orange)

Answer:

the heart rate increases for 6 minutes, remains constant for 19 minutes ,and then gradually decreases for 5 minutes

Answer:

angle M

Step-by-step explanation:

if you are using side angle side the two sides may be

line LK and NK

and angle M

let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]

[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]

Answer:

Step-by-step explanation:

Comment

I take it you want the value for x.

Solution

4(x-5)-(6x + 1)= 2x -19                       Remove the Brackets.

4x - 20 - 6x - 1 = 2x - 19                   Combine like terms

-2x - 21 = 2x - 19                              Add 2x to both sides

-2x-21+2x = 2x + 2x - 19                  Combine

-21 = 4x - 19                                     Add 19 to both sides

-21+19 = 4x -19 + 19                          Combine like terms

-2 = 4x                                              Divide by 4

-2/4 = x

x = - 1/2

Answer: x = - 1/2

or x = -0.5

The missing number given the mean of the data set is 16.

Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.

Missing number = (mean x total number in the data set) - sum of numbers in the data set

(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)

126 - 110

= 16

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Answer:

[tex]\mathsf {x = 76}[/tex]

Step-by-step explanation:

The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]

[tex]\implies \mathsf {x + 104 = 180}[/tex]

[tex]\implies \mathsf {x = 180 - 104}[/tex]

[tex]\implies \mathsf {x = 76}[/tex]

Based on the bar graph, the true statement is that: C. more 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

A bar graph is used for the graphical representation of data, especially by using rectangular bars or vertical columns.

From the information provided, we can deduce the following points about the audiobook listeners:

Age                                 Relative frequency

13 to 17                                      0.08

18 to 25                                     0.15

26 to 35                                    0.23

36 to 45                                    0.45

46 and over                              0.47

Based on the frequency table for the bar graph, we can logically deduce that more 36 to 45-year-olds with a frequency of "0.45" listen to audiobooks than 26 to 35-year-olds with a frequency of "0.23."

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Complete Question:

People of different ages were asked the question "Do you listen to audiobooks?" The bar chart displays the percentage of "yes" responses in each age group. Which of the following statements is correct?

A. More 18- to 25-year-olds listen to audiobooks than 26- to 35-year-olds.

B. Fewer 18- to 25-year-olds listen to audiobooks than 13- to 17-year-olds.

C. More 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

D. Fewer 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

The distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).

Calculating the sample mean is as simple as adding up the number of items in a sample set and then dividing that sum by the number of items in the sample set.

Here, the distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).

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The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.

a. Debit Accounts Receivable 12000

Credit  Sales  12000

Debit Cost of Merchandise Sold 6500

Credit    Merchandise Inventory  6500

b. Debit Cash 9500

Credit Sales  9500

Debit Cost of Merchandise Sold 5300

Credit Merchandise Inventory  5300

c. Debit Cash 2900

Credit  Sales  2900

Debit Cost of Merchandise Sold 1700

Credit  Merchandise Inventory  1700

d. Debit Credit Card Expense 385

Credit  Cash  385

e. Debit Credit Card Expense 75

Credit Cash  75

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Answer:

2i and -2i

Step-by-step explanation:

I'll change u to x to be easier to understand.

x^2 = -4

sqrt(x^2) = sqrt(-4)

sqrt(-4) = 2i, or -2i

Answer:

(4, -6)

Step-by-step explanation:

(x1+x2)/2 + (y1+y2)/2 = midpoint

(11+-3)/2 = 8/2 = 4.     x = 4

(-5 + -7)/2 = -12/2.      y = -6

4, -6 is the midpoint

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The solution of the inequality are (iii) and (iv)

The solution of the equality is x = 8.

The solution of the equality is x = 0.

The solutions of the inequalities can be found as follows:

x³ + 3(5 - 2) ≥ 20 - 4

x³+ 3(3) ≥ 16

x³+ 9 ≥ 16

x³ ≥ 16 - 9

x³ ≥  7

x ≥ ∛7

x ≥ 1.9

Therefore, (iii) and (iv) are solution.

4(72 - x²) = 3.12 - 4

288 - 4x² = 36  - 4

288 - 4x²= 32

-4x² = -256

x²=  256 / 4

x²=64

x= √64

x= 8

7(x + 12) = 7.12

7x + 84 = 84

7x= 84 - 84

7x= 0

x = 0

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The speed of landing is 15.69 ft/sec.

"Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. In contrast to the abstract nature of the theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulations, using three basic derivatives, four rules of operation, and a knowledge of how to manipulate functions.    

The three basic derivatives (D) are: (1) for algebraic functions, D(xn) = nxn − 1, in which n is any real number; (2) for trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and (3) for exponential functions, D(ex) = ex."

Let the length of the rope = r

Height of the balloon = h

we are given dr/dt = 15ft/sec

at any time t we know:

[tex]r = 125 + 15*t[/tex]

By the Pythagoras theorem we know:

[tex]h^2 + 125^2 = r^2[/tex]

We have to find dh/dt at time t = 20 sec

[tex]d/dh(h^2 + 125^2) = d/dt(r^2)[/tex]

By chain rule:

[tex]d/dh(h^2 + 125^2)*dh/dt\\ = d/dr(r^2)*dr/dt\\2h*dh/dt = 2r* dr/dt\\h*dh/dt = r*dr/dt\\dh/dt = (r/h)*dr/dt[/tex]

[tex]= [(125 + 15*20)/(425^2 - 125^2)^1/2]*15[/tex]--------------------- at time t = 2

=15.69 ft/sec

Hence dh/dt = 15.69 ft/sec

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Step-by-step explanation:

normally the perimeter of a rectangle is

2×length + 2×width

in this case here one of the sides in that calculation has to be replaced by the outer circumference of the semicircle.

but which one ? you did not say, whether the semicircle is attached to a length or to a width of the rectangle.

the circumference of a circle is

2×pi×r

r being the radius (= half of the diameter).

so, the outer circumference of a semicircle is

2×pi×r/2 = pi×r

since we don't know the side of the rectangle, I am giving you both calculations here, and you have to pick the right one that fits your original problem definition.

if it is attached to a length (25 ft), then the radius of the semicircle is

25/2 = 12.5 ft

and the whole perimeter is

length + semicircle + 2×width =

= 25 + pi×12.5 + 2×29 =

= 25 + 39.26990817... + 58 = 122.2699082... ft

if it is attached to a width (29 ft), then the radius of the semicircle is

29/2 = 14.5 ft

and the whole perimeter is

2×length + semicircle + width =

= 2×25 + pi×14.5 + 29 =

= 50 + 45.55309348... + 29 = 124.5530935... ft