In a bag, there are a total of 50 dimes and quarters. 40% of the coins are quarters and 35% of the quarters are on heads. How many of the quarters are on tails? ​

Answer:

y = - 7/4 x + 1 1 / 4

Step-by-step explanation:

Take 2 points

Slope:-

[tex]\\ \rm\hookrightarrow m=\dfrac{6-4}{2+7}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{2}{9}[/tex]

[tex]\\ \rm\hookrightarrow m=0.2[/tex]

Answer:

a = 10; a = 2

Step-by-step explanation:

Step 1: Use the Pythagorean theorem to solve this equation

    1. Orignal eqaution: (a + 2)² + (a - 5)² = (a + 3)²

    2. Expand (a + 2)² + (a - 5)² which will give us 2a² - 6a + 29

    3. Expand (a + 3)² giving us a² + 6a + 9

    4. Simplified equation: 2a² - 6a + 29 = a² + 6a + 9

Step 2: Subtract 9 from both sides

    1. 2a² - 6a + 29 - 9 = a² + 6a + 9 - 9

    2. Simplify: 2a² - 6a + 20 = a² + 6a

Step 3: Subtract 6a from both sides

    1. 2a² - 6a + 20 - 6a = a² + 6a - 6a

    2. Simplify: 2a² -12a + 20 = a²

Step 4: Subtract a2 from both sides

    1. 2a² - 12a + 20 - a² = a² - a²

    2. Simplify: a² - 12a + 20 = 0

Step 5: Use the quadratic formula to solve for a

    1. Quadratic formula: a = -b += √b² - 4ac/2a

    2. Plug in the correct values: a = -(-12) += √(-12)² + 4(1)(20)/2(1)

    3. Simplify the numerator and denominator: 12 += 8/2

    4. Final equation: a = 12 - 8/2  or a = 12 + 8/2

    5. Hence, the answer is 10 or 2

Answer:

16 dollars

Step-by-step explanation:

The price includes the price of an empty bag B and the price of popcorn that is proportional to x (the number of ounces). Let each popcorn cost A$. Then the price of bag y = Ax + B

Given x = 10, y = 6, so 6 = 10A + B    (1)

Given x = 20, y = 8, so 8 = 20x + B   (2)

(2) - (1): 2 = 10A, so A = 2/10 = 0.2

Sub it into (1), 6 = 10*0.2 + B = 2 + B, so B = 6 - 2 = 4

We got y = 0.2x + 4

Check: x = 35, y = 0.2*35 + 4 = 11 (right)

x = 48, y = 0.2*48 + 4 = 13.6 (right)

Now find y when x = 60

y = 0.2*60 + 4 = 16 dollars

The PDF for the wait time (denoted by the random variable X) is

[tex]f_X(x) = \begin{cases}\lambda e^{-\lambda x} & \text{if }x \ge 0 \\ 0 &\text{otherwise}\end{cases}[/tex]

where λ = 1/75. We want to find Pr[X > 70 | X ≥ 40]. Pierre has already been waiting for 40 min, so if he waits another 30 min he will have waited for a total of 70 min.

By definition of conditional probability,

Pr[X > 70 | X ≥ 40] = Pr[X > 70 and X ≥ 40] / Pr[X ≥ 40]

If X > 70, then automatically X ≥ 40 is satisified, so the right side reduces to

Pr[X > 70 | X ≥ 40] = Pr[X > 70] / Pr[X ≥ 40]

Use the PDF or CDF to find the remaining probabilities. For instance, using the PDF,

[tex]\mathrm{Pr}[X > 70] = \displaystyle \int_{-\infty}^{70} f_X(x) \, dx = \int_0^{70} f_X(x) \, dx \approx 0.3932[/tex]

Or, using the CDF,

[tex]F_X(x) = \displaystyle \int_{-\infty}^x f_X(t) \, dt = \begin{cases}0&\text{if }x<0 \\ 1-e^{-\lambda x} & \text{if }x \ge 0\end{cases}[/tex]

[tex]\implies \mathrm{Pr}[X > 70] = 1 - \mathrm{Pr}[X \le 70] = 1 - F_X(70) \approx 0.3932[/tex]

Similarly, you'll find that Pr[X ≥ 40] ≈ 0.5866.

It follows that

Pr[X > 70 | X ≥ 40] ≈ 0.3932 / 0.5866 ≈ 0.6703

Answer:

The area of the drawing is 12 Squares

Hi!

I can help you with joy! :)

7 times the product of -6 and a number. Let the number be

a. Now, "the product of" means we multiply.

Multiply -6 times a: -6a

If you notice, we write the number before the variable.

Now, multiply 7 times -6a:

7(-6a)

Simplify:

-42a

I hope this helps!

Have a Great Day!

-Content Girl

[tex]\bf{Mysterious^a^n^d\:M^a^gi^ca^l[/tex]

Answer:

I believe the answer is B.1

Here BD is perpendicular bisector

So

[tex]\\ \tt\hookrightarrow UV=74+74=148[/tex]

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow BD^2=UD^2-UB^2=UD^2-VD^2[/tex]

[tex]\\ \tt\hookrightarrow TC^2=TD^2-CD^2[/tex]

[tex]\\ \tt\hookrightarrow TC^2=78^2-30^2[/tex]

[tex]\\ \tt\hookrightarrow TC^2=6084-900=5184[/tex]

[tex]\\ \tt\hookrightarrow TC=72[/tex]

Answer:

UV = 148

VD = 78

TC = 72

Step-by-step explanation:

BD is the perpendicular bisector of side UV.

Therefore, ΔUDV is an isosceles triangle.

This implies that UD = VD and BV = UB so UV = 2 x BV

ΔUDC is a right triangle.

Given CD = 30 and UD = 78,

and using Pythagoras' Theorem, we can calculate UC:

UC = √(UD² - CD²)

⇒ UC = √(78² - 30²)

⇒ UC = 72

CD is the perpendicular bisector of side UT.

Therefore, ΔUDT is an isosceles triangle, so UC = TC

Since UC = 72, then TC = 72

Answer:

63x + 18

Step-by-step explanation:

9 multiply 7x to give 63x

and 9 multiplies 2 to give 18

Answer:

Option C. 63x +18 is correct.

Step-by-step explanation:

7x ×9= 63x

2×9=18

=63x + 18

Hope it helps.......

The expression which has the greatest value is; Choice B: f(g(-2))

The value of g(f(-4)) when f(x)= 4x+5 and g(x) = 4x^2 -5x - 3 is; 586

Question 1;

From the information given;

Hence, from the options given; upon substitution, it follows that the expression with the greatest value is;

Question 2;

From the task content;

Hence, upon substitution of -4 into the function;

Read more on functions of functions;

https://brainly.com/question/4528336

The given properties of one pair of parallel sides in the four sided

quadrilateral, indicates that the shape is a trapezium.

Response:

Given that the side with length 6 is parallel to the side with length 8, we

and that the figure is four sided, we have;

The given figure is a trapezium;

Where;

a and b = The lengths of the parallel sides

h = The height of the figure = 5

Which gives;

[tex]Area = \dfrac{6 + 8 }{2} \times 5 = \mathbf{35}[/tex]

Learn more about trapeziums here:

https://brainly.com/question/96136

Answer:35 sq units

Step-by-step explanation:

The average value of f(x) over [2, 6] is given by the definite integral,

[tex]\displaystyle f_{\rm ave[2,6]} = \frac1{6-2} \int_2^6 3\ln(2+x^3)\cos(x) \, dx[/tex]

and is approximately -1.67284.

The approximate average value of the function in the closed interval [2,6] is -1.628.

It is given that the f is the function given by:  [tex]\rm f(x) = 3ln(2+x^2)cosx[/tex]

It is required to find the average value of f in the closed interval [2,6]

It is defined as the mathematical approach to calculating the smaller parts or components.

We have function f:

[tex]\rm f(x) = 3ln(2+x^2)cosx[/tex]

For the average value in [2,6]

We integrate the function with lower limit 2 and higher limit 6.

[tex]\rm \int_{2}^{6}f(x) =\int_{2}^{6}( 3ln(2+x^2)cosx)\\[/tex]

The average value of the above function:

[tex]\rm =\frac{1}{6-2} \int_{2}^{6}( 3ln(2+x^2)cosx)\\[/tex]

Further solving:

[tex]\rm =\frac{3}{4} \int_{2}^{6}( ln(2+x^2)cosx)\\[/tex]

Further solving and applying limits we get:

[tex]=\frac{3}{4}\times-2.2304[/tex]

= -1.628

Thus, the approximate value of the function in the closed interval [2,6]

is -1.628.

Learn more about the integration here:

https://brainly.com/question/14502499

Answer:

8.5

Step-by-step explanation:

For inverse variation of (x, y), x*y = constant

so 4*17 = 8*y

y = 4*17/8 = 17/2 = 8.5

Answer:

y = 66

Step-by-step explanation:

y=3x+45

putting the value of x in equation which is 7 .

=> y = 3(7)+45

=> y = 21+45

=> y = 66

Answer:

Todo terreno+ caballo+caminado=distancia ; (2/5)d+(1/3)d+80=d

Step-by-step explanation:

Answer:

x=-55

Step-by-step explanation:

(2)(4)+(11)(3)+(13)(2)+2x−8=x+4

Simplify both sides of the equation.

8+33+26+2x+−8=x+4

Combine like terms

(2x)+(8+33+26+−8)=x+4

2x+59=x+4

2x+59=x+4

Subtract from both sides

2x+59−x=x+4−x

x+59=4

Subtract 59 from both sides

x+59−59=4−59

x=−55

Answer:

The volume of the rectangular prism is 352 ft. The total surface area is 328 ft.

Step-by-step explanation:

Volume:

V = whl

V = 8 x 4 x 11

V = 352 ft

For finding surface area you have to find the lateral surface area: 152 ft, top surface area: 88 ft, and the bottom surface area: 88 ft. Add all that up and you get 328 ft.

Answer/Step-by-step explanation:

The graph of the equation y = 1/2x on the coordinate plane is plotted below

The given equation is:

y = 1/2x

The equation is of the form:

y  =  mx  +  c

where m represents the slope

and c represents the y-intercept

Comparing the equation y = 1/2x  with y = mx + c

The slope, m = 1/2

The y-intercept, c = 0

The line graph with slope, m = 1/2, and y-intercept, c = 0 is plotted below

[RevyBreeze]

Answer:

1) [tex]\dfrac78[/tex]

2) [tex]\dfrac{17}{12} = 1 \frac{5}{12}[/tex]

3) [tex]\dfrac{53}{12}=4 \frac{5}{12}[/tex]

Step-by-step explanation:

1)

[tex]\dfrac38+\dfrac12=\dfrac38+\dfrac{1 \times4}{2 \times 4}=\dfrac38+\dfrac48=\dfrac78[/tex]

2)

[tex]\dfrac23+\dfrac34=\dfrac{2 \times 4}{3 \times 4}+\dfrac{3 \times3}{4 \times3}=\dfrac8{12}+\dfrac{9}{12}=\dfrac{17}{12}=1 \frac{5}{12}[/tex]

3)

First convert mixed number into improper fraction:

[tex]4 \frac23=\dfrac{3\times4+2}{3}=\dfrac{14}{3}[/tex]

[tex]\implies 4 \frac23-\dfrac{3}{12}=\dfrac{14}{3}-\dfrac{3}{12}=\dfrac{14\times4}{3\times4}-\dfrac{3}{12}=\dfrac{56}{12}-\dfrac{3}{12}=\dfrac{53}{12}=4 \frac{5}{12}[/tex]

Let's proof

PQ is the perpendicular bisector Hence

Now apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PD^2[/tex]--(1)

[tex]\\ \tt\hookrightarrow PQ^2+CQ^2=PC^2[/tex]

As QD=CD

[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PC^2[/tex]--(2)

From (1) and (2)

[tex]\\ \tt\hookrightarrow PC^2=PD^2[/tex]

[tex]\\ \tt\hookrightarrow PC=PD[/tex]

Answer:

Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]

⇒  [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]

⇒ ΔPQD ≅ ΔPQC

⇒ CP = PD

Step-by-step explanation:

Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]

⇒  [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]

⇒ ΔPQD ≅ ΔPQC

⇒ CP = PD

Answer:

-1, 0, 1, 2, 3, 4, 5 are the values greater than -2

Step-by-step explanation:

Let's imagine a number line.

Numbers that are bigger are on the right side of the number line.

The numbers to the right of -2 are:

And so on...

Numbers that would be less than -2 will be on the left side

etc...

-Chetan K

Answer:

-1,0,1,2,3,4,5

ep-by-step explanation:

think of it on a number line

Answer:

  GPA ≈ 2.67

Step-by-step explanation:

Grade points are weighted by credit hours:

  GPA = ∑(grade points×credit hours) / ∑(credit hours)

  GPA = (3×2 +2×4 +4×3 +2×3)/(2 +4 +3 +3)

  = (6 +8 +12 +6)/12 = 32/12 = 2 2/3

  GPA ≈ 2.67

Answer:

We want to use time so we will say

The time it takes to finish a jog, t, at the speed of s.

Step-by-step explanation:

The dependent variable we know depends on the independent variable.

Our independent variable is speed because it represents itself where time depends on speed. The reason it depends on speed is that the time to finish a jog depends on your speed.

Answer:

6

Step-by-step explanation:

First divide 9 by 25 to get 0.36 and then divide 3 by 50 to get 0.36 . Finally divide the first result which os 0.36 by the second result which is 0.06 to get 6

Answer:

2.5

Step-by-step explanation:

y=ax+b

9= -2a+b <=> b= 9+2a

34=8a+b = 8a+9+2a = 10a + 9

a = (34-9)/10 = 2.5

Answer:

Step-by-step explanation:

Use the slope formula:

Answer:

x = 145

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

35+x+35+x = 360

2x+70 = 360

Subtract 70 from each side

2x+70-70 = 360-70

2x = 290

Divide by 2

2x/2 =290/2

x = 145

Answer:

x=145

(145+145+35+35=360)

Step-by-step explanation:

This question is very simple to answer if you remember that all parallelograms have two pairs of equal and opposite angles, and that the four angles in any quadrilateral must add up to 360 degrees.

Answer:

A:61°

B:72°

C:47°

Explanation:

I took the test and it was correct