Lee has 14 strawberry scones and 21 Raspberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of Strawberry scones and an equal number of Raspberry scones. What is the greatest number of bags Lee can​ fill? Explain how you know.

Answer:

2600

Step-by-step explanation:

(71+29) * 26

(100) * 26

2600

Answer:

2600

Step-by-step explanation:

Step 1:

First, following the order of operations, you have to do what is in the parentheses.

71+29

The sum of those numbers would be 100

Step 2:

Finally, you multiply 100 with 26

100·26

Which is 2600.

Answer:

x = 47/4

Step-by-step explanation:

The acute angles of a right triangle are complementary, i.e. their sum is 90

So, 5x + 3x - 4 = 90

       8x = 94

         x = 94/8 = 47/4

Answer: The value of X is 47/4

Step-by-step explanation:

The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

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Since LMNO is a parallelogram, opposite angles are congruent, which means that angle L is congruent to angle N and angle M is congruent to angle O.

Since angles L and M are adjacent angles in a parallelogram, they are supplementary, which means that their sum is 180 degrees. Therefore, the sum of the measures of angles L and M is:

L + M = 180 degrees.

Answer: 180 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

So and L and M add up to 180 degrees.

Answer:

  A, B, E

Step-by-step explanation:

You want to identify the exterior angles in the triangle figure shown.

An exterior angle to a triangle is an angle that forms a straight angle with the adjacent interior angle of the triangle.

The exterior angle to angle 5 is angle 6.

The exterior angles to angle 1 are angle 2 and angle 4.

These are listed in choices A, B, and E.

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Answer: A)

Step-by-step explanation:

Total number of athletes = 35 + 24 + 22 = 81

A) Correct

B) Tennis to basketball ratio - 22:35 NOT 35:22 (wrong placement)

C) Basketball to soccer ratio - 35:24 NOT 25:59 (incorrect number of players)

D) Total number of athletes is not 59 so it is incorrect

The equation of the sphere is

\(x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0\)

The standard form of the equation of the sphere is :

\((x-a)^{2}+(y-b)^{2}+(z-c^{2} )=r^{2}\)

Where A (a, b , c) is the center and r is the radius.

From the question we should first find the radius

r = \(\sqrt{(x-a)^{2}+(y-b)^{2}+(z-c)^{2}\)

Point = (x , y , z) = (8 , 3 , -3)

Center = (a, b , c)= (5 , 6 ,5)

Substituting it in the formula

r = \(\sqrt{(8-5)^{2}+(3-6)^{2}+(-3-5)^{2} }\)

By further calculation

r = \(\sqrt{9+9+64}\)

So, we get

r =\(\sqrt{82}\)

Substituting it in the standard form

\((x-5)^{2}+(y-6)^{2}+(z-5)^{2}=\sqrt{82}^{2}\)

\((x-5)^{2} +(y-6)^{2} +(z-5)^{2}=82\)

\(x^{2} +y^{2}+z^{2}+25+36+25-10x-12y-10z=82\)

\(x^{2} +y^{2}+z^{2}+-10x-12y-10z+86-82=0\)

\(x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0\)

Therefore, the equation of the sphere is

\(x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0\)

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The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer:

the remainder is -52

Step-by-step explanation:

3x²-x + 3

x+7÷ 3x² - x +3

the remainder is -52

Answer:

Hey there!

Let x be the number.

Thus, we have \((x-9)^3\)

Hope this helps :)

The distribution of weights of 9-ounce bags of a particular brand of potato chips is approximately normal with a mean (μ) of 9.12 ounces and a standard deviation (σ) of 0.05 ounce

To sketch the distribution, start by drawing a horizontal axis. Label the mean (9.12) at the center of the axis

Then, mark the points 1 standard deviation away from the mean by subtracting and adding the standard deviation (0.05) from the mean. These points would be 9.07 and 9.17 ounces, respectively.

Similarly, mark the points 2 standard deviations away from the mean, which would be 9.02 and 9.22 ounces.

Finally, mark the points 3 standard deviations away from the mean, which would be 8.97 and 9.27 ounces.

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A confidence interval is a range of plausible values for the population parameter with a level of confidence attached.

In frequency statistics, a confidence interval is the range of estimated values ​​for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used.

Confidence intervals are defined as the range of values ​​that you would expect to observe in a sample and find a value that accurately reflects the population.

Confidence intervals are a way of expressing how "good" an estimate is. The larger the 90% confidence interval for a particular estimate, the more cautious it should be used. Confidence intervals are an important reminder of the limits of an estimate.

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ANSWER:

$366.89

Given:

Cost of a gallon of paint = $29.95

x gallons of paint will cost: $29.95 * x gallons

Since Nikki needs 12.25 gallon of paints, the price she would spend on paint will be:

Nikki will spend $366.89 to complete the painting project

Answer:

I guess, the first one is 8cm, and for the second one it's vector. the answers were kinda in the questions already, but I'm not really sure if my answers were right though.

Answer:

A' (5.5, 4.5)

B' (8.5, 4.5)

C' (8.5, 1.5)

D' (5.5, 1.5)

A'' (1, 9)

B'' (13, 9)

C'' (13, -3)

D'' (1, -3)

Step-by-step explanation:

The vertices of the quadrilateral ABCD in the given diagram are:

The sides of quadrilateral ABCD are congruent, therefore quadrilateral ABCD is a square.

The x-coordinate of the center P is halfway between the x-coordinates of A and B, and the y-coordinate of the center P is halfway between the y-coordinates of A and D.  Therefore, the center of ABCD is:

To dilate an image when the center of dilation is not the origin, observe the horizontal and vertical distances of each vertex from the center of dilation.

From inspection of the diagram:

Under a scale factor of 1/2, points A', B', C' and D' need to be half as far away from the center as A, B, C and D:

⇒ 3 × 1/2 = 1.5

Therefore:

So the vertices of A'B'C'D' are:

Similarly, under a scale factor of 2, points A'', B'', C'' and D'' need to be twice as far away from the center as A, B, C and D:

⇒ 3 × 2 = 6

Therefore:

So the vertices of A''B''C''D'' are:

You have the following expression:

2.5 x 10⁴ - 1.5 x 10³

in order to simplify the previous expression, consider that the factors with base 10 have to have the same exponent. You can write the second term as a factor with 10⁴ if you write 1.5 as 0.15 (if you increase the exponent you move the decimal point to the left). Then, you can subtract the coefficients of the term and put the same factor x 10⁴:

Then, you have:

1.5 x 10³ = 0.15 x 10⁴

2.5 x 10⁴ - 0.15 x 10⁴ = 2.35 x 10⁴

Hence, the asnwer is:

2.35 x 10⁴

To represent the given real-world situation using an arithmetic sequence, we can define a function that represents the number of clients the lawnmowing company has after a certain number of weeks. The answer is  {29, 32, 35, 38}.

Let's define the function as follows:

f(n) = 26 + 3n

Here, n represents the number of weeks that have passed since the company started its business. The function f(n) gives us the total number of clients the company has at the end of n weeks.

To determine the range of the function for the first four weeks of data, we can substitute the values of n from 1 to 4 into the function and calculate the corresponding values.

For n = 1:

f(1) = 26 + 3(1) = 29

For n = 2:

f(2) = 26 + 3(2) = 32

For n = 3:

f(3) = 26 + 3(3) = 35

For n = 4:

f(4) = 26 + 3(4) = 38

Therefore, the range of the function for the first four weeks of data is {29, 32, 35, 38}.

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Answer:

104°+33°+(5x+13)°=180°[all angle sum is 180°]

137°+(5x+13)=180°

137°+13+5x=180°

150°+5x=180°

5x=180°-150°

5x=30

x=30/5

×=6

Answer:

x = 6

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

5x + 13 + 104 + 33 = 180, that is

5x + 150 = 180 ( subtract 150 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

The largest area that can be enclose in straight wall is 2450 m².

Let 'x' be the length of rectangle.

Let 'y' be the width rectangle.

Perimeter =  140 meters

2x + y = 140      

y = 140 - 2x

Area = xy

Put the value of y in area.

Area = x(-2x + 140)

Area = -2x² + 140x

Differentiating the area with respect to x.

dA/dx = -4x + 140

Put dA/dx = 0 to get the critical point.

-4x + 140 = 0

x = 140/4

x = 35

Largest area at x = 35.

y = 140 - 2x

y = 140 - 2×35

y = 70

Area = xy

Area = 70×35

Area = 2450 m²

Thus, the largest area that can be enclose in straight wall is 2450 m².

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Answer:

what am i supposed to do please provide info

We need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

To prove that 13 divides a number "a" if and only if 13 divides (an - (1-1)") + 4H0, we need to show that both conditions imply each other
First, let's assume that 13 divides "a". This means that "a" can be written as 13k, where k is an integer. We can express this in terms of base 10 as (13k - (1-1)") + 4H0. Simplifying further, we get (13k - 1) + 4H0. Since 13 divides 13k and 13 divides 4H0, it also divides their sum. Therefore, if 13 divides "a", it also divides (an - (1-1)") + 4H0.
Next, let's assume that 13 divides (an - (1-1)") + 4H0. This means that (an - (1-1)") + 4H0 can be written as 13k, where k is an integer. Simplifying the expression, we get an - (1-1)") + 4H0 = 13k. Rearranging, we have an = 13k + (1-1)") + 4H0. Since 13 divides 13k + (1-1)") + 4H0, it also divides their sum. Therefore, if 13 divides (an - (1-1)") + 4H0, it also divides "a".
In conclusion, we have proven that 13 divides "a" if and only if 13 divides (an - (1-1)") + 4H0.
To decide whether 20192018 is divisible by 13, we can apply the result from part (a). Let's express 20192018 as (an - (1-1)") + 4H0. Since 13 divides (an - (1-1)") + 4H0, if 13 divides 20192018, it will also divide (an - (1-1)") + 4H0. Therefore, we need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

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The probability that there will be no more than 5 defective parts is 0.0567.

a) No defective part.

b) No more than 5.

a) No defective part

The probability that a defective part will be produced is 0.21.

Therefore, the probability of not producing a defective part is 1-0.21 = 0.79.

The probability of getting no defective part in 15 pieces is (0.79)^15 = 0.0253.

Therefore, the probability that there will be no defective part is 0.0253.

b) No more than 5

Let X be the number of defective parts produced.

X follows a binomial distribution with n=15 and p=0.21.

We need to calculate P(X ≤ 5).

We can find the cumulative probability distribution function (CDF) using the binomial formula as:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)P(X = k)

= nCk * p^k * (1-p)^(n-k)

where n = 15, p = 0.21, and k = 0, 1, 2, 3, 4, 5

On substituting the values, we get:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

= (15C0 * (0.21)^0 * (0.79)^15) + (15C1 * (0.21)^1 * (0.79)^14) + (15C2 * (0.21)^2 * (0.79)^13) + (15C3 * (0.21)^3 * (0.79)^12) + (15C4 * (0.21)^4 * (0.79)^11) + (15C5 * (0.21)^5 * (0.79)^10)

= 0.0567

Therefore, the probability that there will be no more than 5 defective parts is 0.0567.

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Answer:

x = 42

Step-by-step explanation:

The tangent- tangent angle is half the difference of the intercepted arcs.

LN (major) = 360 - 138 = 222 , then

x = \(\frac{1}{2}\) (222 - 138) = 0.5 × 84 = 42

Answer:

y - 12 = (-4/5)(x + 1)

Step-by-step explanation:

Let's use the point-slope formula y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

1.  Find the slope.  As we go from (-1, 12) to (4, 8), x (the run) increases by 5 and y (the rise) decreases by 4.  Thus, the slope is m = rise/run = -4/5.

2.  Plug into the formula (given above) the following:

-4/5 for m, -1 for x and 12 for y:

y - 12 = (-4/5)(x + 1)

There are infinitely many vectors u that satisfy the equation (1, -1, 2) × u = (-1, 0, 4). The solution set consists of all vectors that are orthogonal (perpendicular) to the cross product of (1, -1, 2) and u, which is (-1, 0, 4).

The cross product of two vectors is a vector that is orthogonal (perpendicular) to both of the original vectors. In this case, the cross product of (1, -1, 2) and u is given as (-1, 0, 4). To find the vectors u that satisfy this equation, we need to determine all vectors that are perpendicular to (-1, 0, 4).

A vector is orthogonal to another vector if their dot product is zero. So, we can find vectors u by finding all vectors that satisfy the dot product condition with (-1, 0, 4). Let's denote the components of u as (u1, u2, u3).

Taking the dot product of (-1, 0, 4) and (u1, u2, u3), we have:

(-1)(u1) + (0)(u2) + (4)(u3) = 0.

This simplifies to -u1 + 4u3 = 0.

We can express u in terms of a parameter, let's say u3 = t, where t is any real number. Then, u1 = 4u3 = 4t.

So, the solution set for vectors u is u = (4t, u2, t), where t is any real number and u2 can be any value.Therefore, there are infinitely many vectors u that satisfy the given equation.

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Answer:

the answers are -243 and 729

Step-by-step explanation:

you multiply each by -3. 1x-3 gives you -3. -3x-3 gives you 9. -3x9 gives you -27. -27x-3 gives you 81. 81x-3 gives you -243 and -243x-3 gives you 729. i hope this helps.

Answer:

Below

Step-by-step explanation:

Losing 27 % of value each year means it retains 73% each year

  we need to multiply 20 000 x  .73 x .73 x .73     ....  .73     (twelve times )

                  or   re-written as   20 000 * .73^12 = value =$ 458.04

Answer:

4in^3

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Convert fraction (ratio) 40 / 100 Answer: 40%