calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?

Answer:

346in

Step-by-step explanation:

\(\hookrightarrow Here,\\\\\hookrightarrow a=56 in, b = 22 in, c = 73 in, and d = 25 in\\\\Now,\\\\\hookrightarrow Perimeter=Sum\:of\:all\:sides\\\\\hookrightarrow Perimeter=a+b+b+d+(c-2d)+b+d+b+a+c\\\\\hookrightarrow Perimeter=56+25+22+22+(73-25-25)+22+25+22+56+73\\\\\hookrightarrow Perimeter=346in\)

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

More can be learned about the law of sines at https://brainly.com/question/4372174

#SPJ1

The option not represented by one of the letters in PITI is (a) Title

The acronym is give as:

PITI

The meaning of the above acronym is:

From the list of given options, we can see that Title is not represented in the letters

Hence, the option not represented by one of the letters in PITI is (a) Title

Read more about PITI at:

https://brainly.com/question/1395659

#SPJ1

The option which is not represented by one of the letters in PITI is,

(a) Title

We have to given that,

The acronym is give as:

⇒ PITI

Since, We know that,

The full form of the above acronym PITI is:

P = Principal

I = Interest

T = Taxes

I = Insurance

Hence, From the list of given options, we can see that Title is not represented in the letters

Therefore, the option not represented by one of the letters in PITI is (a) Title

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

ANSWER

-6, 6

EXPLANATION

The absolute value is simply writing the number inside as a positive number.

There are always two numbers whose absolute value is a number. In this case, there are two number whose absolute value is 6: 6 and -6

The solution to the equation 60 = 9p − 3 + 7p is 3.94.

To solve the equation 60 = 9p - 3 + 7p, we need to simplify and combine like terms in order to isolate the variable "p" on one side of the equation.

First, let's combine the "p" terms by adding the coefficients of "p":

60 = 9p + 7p - 3

This simplifies to:

60 = 16p - 3

To isolate the variable "p", we want to get rid of the constant term (-3) on the right side of the equation. We can do this by adding 3 to both sides:

60 + 3 = 16p - 3 + 3

63 = 16p

Now we have the equation 63 = 16p. To solve for "p", we need to get rid of the coefficient 16. We can do this by dividing both sides of the equation by 16:

63/16 = 16p/16

3.9375 = p

Therefore, the solution to the equation is p ≈ 3.9375, or approximately p ≈ 3.94.

In summary, by simplifying and combining like terms, we obtained the equation 63 = 16p. By dividing both sides by 16, we found the value of "p" to be approximately 3.9375.

Know more about Equation here:

https://brainly.com/question/25976025

#SPJ8

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

For more such questions on distance

https://brainly.com/question/26550516

#SPJ8

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. \(\frac{3}{3}\)= 1. So in order to get a coefficient of 1, let's divide both sides by -10

\(\frac{50}{-10} = \frac{-10z}{-10}\)

Divide, and cancel:

The zeros cancel out, leaving the equation as:

\(\frac{5}{-1} = \frac{-1z}{-1}\)

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!

the answer is 1.. I know this because im in seventh grade

Answer:

It's D

Step-by-step explanation:

I did the same thing.

sorry if this doesn't help!! I tried..

Answer: answer is 5

Step-by-step explanation:

Answer:

0.72 or 72 cents

Step-by-step explanation:

5.76/8=.72

Answer:

$80 for 9 hours

Step-by-step explanation:

whichever instructor it is that does it for $80 for 9 hours.

I can't tell which rates belong to which instructor and Mark's name isn't listed by any rates......

but the $80 for 9 hours is the best deal per hour

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

For such more questions on Car travels

https://brainly.com/question/32301907

#SPJ8

Answer:

54 X 68=3672

Step-by-step explanation:

The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

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

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

For more such questions on Line segment:

https://brainly.com/question/2437195

#SPJ8

The critical values are 0.622, 0.707, 0.789 and 0.834

The sample size is given as:

n = 8

Calculate the degrees of freedom using

df = n - 2

So, we have:

df = 8 - 2

df = 6

Using the table of values of critical values, we have:

Critical values = 0.622, 0.707, 0.789 and 0.834

By comparing the critical values and the linear correlation coefficient, we can conclude that there is no significant linear correlation.

Read more about linear correlation at:

https://brainly.com/question/17237825

#SPJ1

Answer:

Step-by-step explanation:

If J is between H and K then HJ + JK = HK

Given

HJ=6x-5

JK=4x-6

KH=129

Required

The value of x

Substituting the given parametrs into the formula;

6x-5+4x-6 = 129

6x+4x-5-6 = 29

10x-11 = 129

add 11 to both sides

10x-11+11 = 129+11

10x = 140

divide both sides by 10

10x/10 = 140/10

x = 10

Hence the value of x is 10

The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

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

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

To solve more questions on inverse of function, visit the link below-

brainly.com/question/28229665

#SPJ1

Answer:

Step-by-step explanation:

By proportion he should mix:

(18/45) * 5

= (18*5)/45

= 90/45

= 2 g.

-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5

Answer:

-4.5

Step-by-step explanation:

\(\sqrt{30}\) is approximately 5.47722557505.  You can find this number with a calculator.

-10 + 5.47722557505 = -4.52277442495

To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value.  Absolute value just means thinking of both numbers as positive numbers.

Helping in the name of Jesus.

Answer:

72 miles ....then she snored off

Step-by-step explanation:

18 % of 400  = .18 * 400 =  72 miles

Answer:

Step-by-step explanation:

1. The total of central angles in a circle is 360°. The smaller sector (and the arc subtended) has measure 360° -210° = 150°.

The area is given by the formula ...

  A = (1/2)r²θ . . . . where θ is in radians

150° = (150/180)π radians, so the area of the smaller sector is ...

  A = (1/2)(12 in)²(5π/6) = 60 in²

__

2. The measure of an inscribed angle is half the measure of the arc it subtends. θ subtends an arc of 90°, so has measure 90°/2 = 45°.

__

3. LQ is the perpendicular bisector of MP, so ...

  MT = TP

  5x -6 = 2x +9

  3x = 15 . . . . add 6-2x

  x = 5

__

4. Tangents to the same circle from the same point are equal length.

  AB = AD

  3x +10 = 7x -6

  16 = 4x . . . . . . . add 6-3x

  4 = x

__

5. The standard form is ...

  (x -h)² +(y -k)² = r²

Comparing to the given equation, we see ...

The center is (h, k) = (-2, 7) (choice B); the radius is 6.

__

6. As in problem 2, the inscribed angle is half the measure of the arc it subtends. In an inscribed quadrilateral, that fact also means that opposite angles are supplementary.

  angle 2 = (64° +90°)/2 = 77°

  angle 3 = 180° -95° = 85°

  angle 4 = 180° -77° = 103°

__

7. Chords of the same length are the same distance from the center of the circle:

  3x +1 = x +8

  2x = 7 . . . . subtract x+1

  x = 3.5

__

8. You can work this problem several ways, or you can simply "cut to the chase." The measure of x is the supplement of the subtended arc.

  x = 180° -117°

  x = 63°

You can also use the fact that the tangents make right angles with the radii and the sum of angles of a quadrilateral is 360°. That gets you to ...

  117° +90° +x° +90° = 360°

  x = 180° -117°

Or, you can use the fact that the external angle (x°) is half the difference of the long arc and short arc:

  x° = (1/2)((360° -117°) -117°) = (1/2)(360° -2(117°)) = 180° -117°

Answer:

[From top to bottom] 1/2 ; 1/3 ; 1 ; 1/2 ; 0

Step-by-step explanation:

1. In a card-deck, there a total of 3x4 = 12 face cards of which 6 of them are red, the probability is 6/12 = 1/2

2. No. of face card = 12, No. of Kings = 4, probability = 4/12 = 1/3

3. A Queen must be a face card

4. literally the same question as the first one

5. It is impossible that a red card is spade since spade is a black card.

Answer:

\left(3a^2b\right)^3\left(2a^3b\right)(3a2b)3(2a3b) = 5832a^{11}b^6  

hope this helped

Answer:

(3•2a5b6)

Step-by-step explanation:

durr

Answer:

\({\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}\)

The speed of light (c) is considered a fundamental constant of nature. In the famous relativity equation, E = mc², the speed of light (c) serves as a constant of proportionality, linking the formerly disparate concepts of mass (m) and energy (E).

(200 - 100√2) / 16 is the rectangular form of the product c1*c2 for an equilateral triangle's vertices.

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same.

Here,

An equilateral triangle is a triangle with three equal sides. If 3-2i, 6-i, and c form the vertices of an equilateral triangle, then the distance between 3-2i and 6-i is equal to the distance between 3-2i and c.

The distance between two complex numbers a + bi and c + di can be found using the formula:

√((c - a)² + (d - b)²)

So, the distance between 3-2i and 6-i is:

√((6 - 3)² + (-1 - (-2))²) = √((3)² + (1)²) = √(9 + 1) = √10

And the distance between 3-2i and c is:

√((c - 3)² + (c - (-2))²) = √((c - 3)² + (c + 2)²)

Since these distances must be equal, we have:

√((c - 3)² + (c + 2)²) = √10

Squaring both sides:

(c - 3)² + (c + 2)² = 10

Expanding both sides:

c² - 6c + 9 + c² + 4c + 4 = 10

Combining like terms:

2c² + 10c + 5 = 10

Subtracting 10 from both sides:

2c² + 10c - 5 = 0

This is a quadratic equation, which can be solved using the quadratic formula:

c = (-b ± √(b² - 4ac)) / 2a

Where a = 2, b = 10, and c = -5. Plugging these values into the formula:

c = (-10 ± √(10² - 4 * 2 * -5)) / 2 * 2

c = (-10 ± √(100 + 40)) / 4

c = (-10 ± √(140)) / 4

c = (-10 ± 10√2) / 4

So there are two complex solutions, c1 = (-10 + 10√2) / 4 and c2 = (-10 - 10√2) / 4.

The product of these two solutions is:

c1 * c2 = ((-10 + 10√2) / 4) * ((-10 - 10√2) / 4)

= (100 - 100√2 + 100) / 16

= (200 - 100√2) / 16

(200 - 100√2) / 16 is the answer in rectangular form for the product c1*c2 for the vertices of an equilateral triangle.

To know more about triangle,

https://brainly.com/question/28600396

#SPJ4