you pay $9.70 for 2.5 pounds of roasted peanuts. you buy 1.4 pounds of almonds for $8.55 per pound. how much less do peanuts cost than almonds

Answer:

254

Step-by-step explanation:

see the picture for how I worked this out

This question is incomplete because it lacks the appropriate options

Complete Question

Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If a student is selected at random, what is the

probability that the student takes Spanish or French?

A 31%

B. 27%

C. 23%

D. 19%

Answer:

C. 23%

Step-by-step explanation:

At Central High

From the question, we are told that:

Spanish = 15%

French = 12%

Spanish and French = 4%

French or Spanish = unknown

Therefore, the probability that a student at random takes Spanish or French

= P(Spanish) + P(French) - P(Spanish and French)

= 15% + 12% - 4%

= 27% - 4%

= 23%

Answer:

SAS

Step-by-step explanation:

Hope this helps:)

Answer:

SAS

Step-by-step explanation: You can use vertical angles  congruence theorem for angles AED and BEC which gives you an angle, using  taht info you can detremine that its SAS

Answer:

1479 gm

Step-by-step explanation:

V = 10 * 3 * 5 = 150 cm^3

150 cm^3  * 9.86 g / cm^3 = 1479 gm

Answer:

3/4x-2

Step-by-step explanation:

3−4=8

∴3=4+8

∴4=3−8

∴=14(3−8)=34−2

Answer + Step By Step:

Step-by-step explanation:

2x+3= 5 then x = 5 =5/5x

y=0

I'm guessing that you want to simplify \(67.6^2\)

The two above the 67.2 is a square or a power.

Usually when you take something to a power, you mutiply the number of time by the power:

Examples:   \(78^2\) would be 78*78

                   \(23^5\) would be 23*23*23*23*23

Questions?

67.6² would simply be 67.6*67.6.

So therefore it is 4569.76

Answer:

The answer is 3/8

Step-by-step explanation:

Set up a table to get one you divide 2 by 2 so then you have to divide 3/4 by 2 and that gets you 3/8

Answer:

292 cm²

Step-by-step explanation:

the area = 2×(8×6 +8×7 + 6×7)

= 2×(48+56+42)

= 2×146

= 292

Answer:

true

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

you add 5 and 7 for the median

The length of the median of the trapezoid is 12 units if the area of a trapezoid is 60.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

We have:

The area of a trapezoid is 60.

The length of one base is 7 units greater than the other base, and the height of the trapezoid is 5.

As we know,

The area of the trapezoid:

A =(a+b)h/2

b = a + 7

h = 5

A = 60 units square

Plug the above values in the formula:

60 =(a + a + 7)5/2

120 =(a + a + 7)5

120 =(2a + 7)5

120/5 =(2a + 7)

24 = 2a + 7

2a = 24 - 7

2a = 17

a = 17/2

a = 8.5 units

b = a + 7 = 8.5 + 7 = 15.5

The length of median = (8.5+15.5)/2

The length of the median = 12

Thus, the length of the median of the trapezoid is 12 units if the area of a trapezoid is 60.

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Answer:

$6250

Step-by-step explanation:

Hello!

First, we find out how much you spend a week.

Since you buy a $5 coffee 5 days a week we multiply the price for a coffee by 5.

5 * 5 = 25.

Next, we find out how much you spend a year.

Since you do it 50 weeks a year we multiply the amount you spend a week by 50

25 * 50 = 1250

Then, we find out how much you spend in 5 years.

We multiply the cost a year by the amount of years

1250 * 5 = 6250

The answer is $6250

Hope this helps!

Answer:

$6250 Just took a quiz

Step-by-step explanation:

The answer  is that a 400-troy-ounce gold ingot weighs approximately 12.4 kilograms or 27.34 pounds. This weight is equivalent to 3,110 grams or 3.11 kilograms. In summary, a 400-troy-ounce gold ingot weighs around 12.4 kilograms or 27.34 pounds and is equivalent to 3,110 grams or 3.11 kilograms.

The 400-troy-ounce gold ingot weighs, as the name suggests, 400 troy ounces. To provide some context, one troy ounce is equivalent to 31.1035 grams. Therefore, to determine the weight of the gold ingot in grams, you can perform the following calculation: 400 troy ounces x 31.1035 grams/troy ounce = 12,441.4 grams. In summary, the 400-troy-ounce gold ingot weighs 12,441.4 grams.

The weight of a 400-troy-ounce gold ingot can be calculated as follows: One troy ounce is equal to approximately 31.1 grams. The troy ounce is commonly used as a unit of weight for precious metals like gold. To find the weight of a 400-troy-ounce gold ingot, we multiply 400 by the weight of one troy ounce: 400 troy ounces * 31.1 grams per troy ounce = 12,440 grams. Since there are 1,000 grams in a kilogram, we can convert the weight from grams to kilograms:

12,440 grams / 1,000 grams per kilogram = 12.44 kilograms.

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According to ADA guidelines, a ramp with a two-foot vertical rise should be at least 20 feet long.

This length allows for a gentle slope that is safe and accessible for individuals with mobility impairments, including those using wheelchairs or other mobility aids. The slope of the ramp should not exceed 1:12, which means that for every inch of vertical rise, the ramp should extend 12 inches horizontally.

The ADA guidelines are designed to ensure that individuals with disabilities have safe and accessible routes of travel in public spaces. Ramps with proper dimensions and slope ratios are critical for individuals with mobility impairments to access buildings and spaces that may not be accessible via stairs. Ramps should also be designed with non-slip surfaces, handrails, and other safety features to prevent accidents and ensure that all individuals can use them safely and comfortably.

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Answer: y = -1/3x + 2

Step-by-step explanation:

Y intercept is 2 so the constant is 2.
The slope is negative and the y changes by -1 units every time the x changes by 3 units

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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Explanation:

The graph of y = -3/5x + 9 is a straight line, so to graph the function we need to identify two points of the line.

Then, we can find two points if we give a value to the variable x and calculate the value of y as:

If x = 5 then:

y = (-3/5)x + 9

y = (-3/5)*5 + 9

y = -3 + 9

y = 6

If x = 10 then:

y = (-3/5)*10 + 9

y = -6 + 9

y = 3

Therefore, we have the points (5, 6) and (10, 3), so the graph of the line is:

Answer:

5 / 56 or 0.089

Step-by-step explanation:

We are given 5 / 14 x 4

5 / 56

This cannot be further simplified, so 5 / 56 will be the answer, if you need the answer in a decimal form it will be 0.089

The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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The domain of discourse is the integers is smaller integer

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

1.(a) ∃x∀y(y > x)

The statement is False

it is impossible to find a single integer x that has the property that all integer y are bigger that it. for any integer x, the integer y =x-1 is smaller

(b) ∀y∃x(y > x)

the statement is true for every integer y, we can find a integer x that is smaller, for example x=y-1

(c) ∃x(x = 0 → x = 1)

The statement is True

there exist x such that (x = 0, x=1). in this statement when we select x =1. this statement is true  regardless of x not equal to 0 therefore this statement is true if x=1 when x=1

2. (a) ∀x∃y(2 < x ≤ y)

we know

∀xP(x)=∃y(P(x))

∃xP(x)=∃y(P(x))

now apply de morgan law

∃x∀(y)=2>x v x>y

(b) ∀y∃x(y > 0 → x ≤ 0)

we know that A-B = A V B

∀y∃x (Y<0 V X< 0)

∀y∃x (Y<0 : X< 0)

3.(a) Given : All people weigh at least 100 pounds.

The negation is : Some people weigh less than 100 pounds. ( All negates to some, at least negates to less than )

(b) The statement is : Somebody did not see any animals in the zoo.

Equivalently : Somebody see no animals in the zoo.

Negation : Everybody saw some animals in the zoo. ( Somebody negates to everybody, No animals negates to some animals )

4. P(x,y): x is friends with y.

Then the given translates to " For all x there is a person y and a person z such that if y and z are not the same people that x and y are friends and x and z are friends."

The given statement is False. For every person x, we can always find two distinct persons y and z such that x is friends with y and y is friends with z. But, we reach a contradiction when we consider the case when x has only one friend. Then for that particular person x, we can find a person y such that P(x,y) but we cannot find a person z such that P(x,z). Hence, in that case, the statement is FALSE.

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Answer:

$77

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

because den whose part is 5:2 got 55, then you should divide 55 by 5 and get 11, then multiply 11 by 2 equals 22.

55 + 22 = 77  

Answer:

B.less than 90 degrees

Step-by-step explanation:

Obtuse angle is greater than 90°

Since the sum of all 3 angles= 180°

The sum of other 2 angles less than  180°-90°= 90°

Function \(-3x^2+18x+3\) has maximum value at x = 3 and its maximum value is 30.

How do you find the maximum and minimum value of the function?

Calculus can be used to find the critical point, or the x-value of the vertex, by taking the derivative of the function, or f'(x). To determine the critical point, we shall set the function's first derivative to zero and solve for x. This point's maximum or minimum value can be determined by taking the second derivative, or f"(x). The second derivative will have a minimal value if it is positive. The second derivative will be the highest value if it is negative.

Given function:

\(-3x^2+18x+3\)

To find the maximum and minimum value of the function use second derivative test.

On differentiating the above function we get,

-6x + 18

Now, find critical point

-6x + 18 = 0

-6x = - 18

x = - 18/-6 = 3

x = 3

Here, x = 3 is the critical point. Now again differentiate the above function we get,

-6

As , \(f^{''}(x)\) < 0 , therefore x = 3 will given a maximum value of function and maximum value is

f(3) = \(-3(3)^2+18x+3 = -3(9) + 18(3) + 3 = -27 + 54 + 3 = 27 + 3 = 30\)

Hence , function \(-3x^2+18x+3\) has maximum value at x = 3 and its maximum value is 30.

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Answer:

The coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

U'(-4, 7), V'(-1, 7), W'(-2, 10)

Step-by-step explanation:

When a point P(x, y) is rotated 270° counterclockwise around the origin, we flip x and y and reverse the sign of x.

Thus,

The rule to rotate a point P(x, y)  after a rotation 270° counterclockwise around the origin is:

P(x, y) → P'(y, -x)

In our case, we have the points

U(-7,-4)

V(-7,-1)

W(-10,-2)

Thus, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

P(x, y)          →        P'(y, -x)

U(-7,-4)        →        U'(-4, 7)

V(-7, -1)        →        V'(-1, 7)

W(-10, -2)    →         W'(-2, 10)

Therefore, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

U'(-4, 7), V'(-1, 7), W'(-2, 10)

A direct variation equation is option D: y = (7/2)x.

A direct variation equation has the form y = kx, where k is the constant of variation.

To determine which relation is a direct variation that contains the ordered pair (2, 7), we can substitute the given x and y values into each option and see which one holds true.

Option A: y = 4x - 1

Substituting x = 2, y = 7:

7 = 4(2) - 1

7 = 8 - 1

7 = 7

Option B: y = (7/x)

Substituting x = 2, y = 7:

7 = 7/2

Option C: y = (2/7)x

Substituting x = 2, y = 7:

7 = (2/7)(2)

7 = 4/7

Option D: y = (7/2)x

Substituting x = 2, y = 7:

7 = (7/2)(2)

7 = 7

From the above substitutions, we can see that option D: y = (7/2)x is the only equation that satisfies the ordered pair (2, 7).

Therefore, the correct answer is option D: y = (7/2)x.

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Answer:

the length of the base of the ramp is 28.27 inches

Step-by-step explanation:

The computation of the length of the base of the ramp is shown below:

Let us assume x be the length of the base of  the ramp

Now the following formula should be used

tan = opposite ÷ adjacent

tan 23 degrees = 12 ÷ x

x = 12 ÷ tan 23 degrees

= 12 ÷ 0.42447482

=28.27 inches long

Hence, the length of the base of the ramp is 28.27 inches

The value of a and b from the given function and the equivalent function are 7840 and 0.343 respectively.

The given function is \(R(t)=16000(0.7)^{3t+2}\).

Here, the given function can be written as

\(R(t) = 16000\times(0.7)^{3t}\times(0.7)^2\)

\(R(t) = 16000\times(0.7)^{3t}\times0.49\)

\(R(t) = 7840\times(0.7)^{3t}\)

\(R(t) = 7840\times(0.343)^{t}\)

The given equivalent function is \(R(t) = ab^{3t}\)

By comparing \(R(t) = 7840\times(0.343)^{t}\) with \(R(t) = ab^{3t}\), we get

a=7840 and b=0.343

Therefore, the value of a and b from the given function and the equivalent function are 7840 and 0.343 respectively.

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Answer:

D and E

Step-by-step explanation:

remote interior angles are not adjacent to a given angle. or basically 1 is our exterior angle, so the opposites of 1 and the remote interior angle.

The remote interior angles of Z1 are ∠4 and ∠3. The correct options are D and E.

A triangle's remote interior angles are the two angles that are not adjacent to a given exterior angle. An exterior angle of a triangle is formed by extending one of the triangle's sides.

The following theorem can be used to calculate the remote interior angles of a triangle:

A triangle's remote interior angles are equal in size to the exterior angle that is not adjacent to them.

In other words, if we know the measure of one of a triangle's exterior angles, we can find the measure of the distant interior angles by subtracting that measure from 180 degrees.

Thus, the correct options are D and E.

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Answer:

25%

Step-by-step explanation:

12 hrs = 100%

=> 3 hrs = 3 : 12 = 25%

Answer: 400%

Step-by-step explanation:

12/3 = 4