Huey can wash 6 cars or mow 3 lawns in one hour. Dewey can wash 3 cars or mow 3 lawns in one hour. Louie can wash 3 cars or mow 6 lawns in one hour. They each work 8 hours per day. If two of them wash cars and one mows lawns then at most they can wash cars and mow lawns. Enter whole numbers.

Answer:

213

Step-by-step explanation:

Given data

Total cupcakes sold= 300

we are told that 29% are mocha

Required

The amount of cupcakes that is vanilla

Let us find the amount that is mocha

=29/100*300

= 0.29*300

= 87 mocha

Hence the amount that is vanilla  is

=300-87

=213

Answer:

213 Cupcakes

Step-by-step explanation:

Delta Math Answer

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

To learn more about charged here:

https://brainly.com/question/3412043

#SPJ4

Answer:      10/3

Step-by-step explanation:

multiply the denominator, "3", by the mixed number "3", then add the numerator "1". So 3*3+1=10/3 (the denominator stays the same)

Answer: \(\frac{10}3}\)

Answer:

The graph is a dotted line from (  0, 12  ) to (  15  , 0 )

The shaded region is above the boundary line. The origin is not in the shaded region.

===================================================

Explanation:

x = number of shirts

y = number of pants

16x = amount made from the shirts only

20y = amount made from the pants only

16x+20y = total amount made, aka revenue

16x+20y > 240

This is because Giselle needs to make more than $240 to be profitable.

------------------

The graph is a dotted line because the "or equal to" is not part of the inequality sign. If Giselle could make $240 and be profitable, then we would use a solid line instead and use "or equal to". But in this case, she must make above $240.

Let's consider the boundary line 16x+20y = 240. Plug in x = 0 to get

16x+20y = 240

16*0+20y = 240

20y = 240

y = 240/20

y = 12

Therefore we can say (0,12) is one point on the dotted boundary line. It is the y intercept.

Use similar steps for y = 0 to find x.

16x+20y = 240

16x+20*0 = 240

16x = 240

x = 240/16

x = 15

The x intercept is (15,0) where the dotted line crosses the x axis.

Therefore, the dotted boundary line goes through (0,12) and (15,0).

------------------

Now to the question: where to shade?

Let's check the origin point (0,0). Meaning we plug in x = 0 and y = 0.

16x+20y > 240

16*0+20*0 > 240

0+0 > 240

0 > 240

Clearly that's false so (0,0) is NOT in the shaded solution region. We shade the opposite region of the origin. We'll shade above the boundary as indicated in the diagram below. I used GeoGebra to make the graph. Desmos is another good option.

The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

For more questions related to probability, refer here:

https://brainly.com/question/2561151#

#SPJ11

Jack's claim of having 240 ways to choose his starter, main course, and dessert is incorrect.

Let's determine whether Jack's claim of having 240 ways to choose his starter, main course, and dessert is accurate.

If there are 5 starters, 8 main courses, and an unknown number of desserts, the total number of ways Jack can choose his meal can be calculated by multiplying the number of options for each course.

Number of ways to choose the starter = 5

Number of ways to choose the main course = 8

Number of ways to choose the dessert = Unknown (let's call it x)

To find the total number of ways, we multiply these values together:

Total number of ways = Number of ways to choose the starter x Number of ways to choose the main course x Number of ways to choose the dessert

\(Total number of ways = 5 \times 8 \times x\)

According to Jack, the total number of ways is 240.

Therefore, we can set up the equation:

\(5 \times 8 \times x = 240\)

Simplifying the equation:

\(40x = 240\)

Dividing both sides by 40:

\(x = 6\)

The solution shows that there are 6 ways to choose the dessert to have a total of 240 possible combinations.

Therefore, Jack's claim of having 240 ways to choose his starter, main course, and dessert is incorrect.

For such more questions on dessert

https://brainly.com/question/31011093

#SPJ8

The dot product can be used to determine if the vectors v = 4i + j and w = i - 4j are parallel, orthogonal, or neither.The formula for the dot product of two vectors, v and w, is(v1 * w1) + (v2 * w2) = v w

Here, v1 equals 4, v2 equals 1, w1 equals 1, and w2 equals -4. How about we compute the dot product?v · w = (4 * 1) + (1 * -4) = 4 - 4 = 0

Two vectors are orthogonal (perpendicular) to one another if their dot product is zero. We can infer that the vectors v = 4i + j and w = i - 4j are orthogonal because their dot product is zero.Consequently, the appropriate response isThe orthogonal

learn more about orthogonal here :

https://brainly.com/question/32196772

#SPJ11

To find the first few coefficients in the power series for the function f(x) = x * ln(1+x), we will use the Taylor series expansion. The Taylor series for ln(1+x) is:

ln(1+x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ...

Now, multiply each term by x:

x * ln(1+x) = x^2 - (x^3)/2 + (x^4)/3 - (x^5)/4 + ...

The first few coefficients in the power series are: 0 (constant term), 0 (x term), 1 (x^2 term), -1/2 (x^3 term), 1/3 (x^4 term), and -1/4 (x^5 term).

For the radius of convergence, we'll use the Ratio Test. Observe the absolute value of the ratio of consecutive terms:

lim (n -> infinity) | (a_(n+1)/a_n) | = lim (n -> infinity) | (x^(n+2) * (n+1))/((n+2) * x^(n+1)) |

This simplifies to:

lim (n -> infinity) | x * (n+1)/(n+2) |

To converge, the limit must be less than 1:

|x * (n+1)/(n+2)| < 1

As n approaches infinity, the expression becomes |x|, so:

|x| < 1

Thus, the radius of convergence for the series is 1.

To learn more about Taylor series : brainly.com/question/28158012

#SPJ11

1.  Algebraic rules= (y, -x), (-x, -y), (-y, x) respectively, 2. (0,0), (3,1), and (2,3), 3. (0,0), (1,-3) and (3,2), 4. (0,0), (-3,-1), and (2,-3) 5. would be identical to the original triangle.

Rotation in mathematics refers to the transformation of a figure around a fixed point or axis. The fixed point or axis is called the center of rotation, and the figure is rotated by a certain angle, either clockwise or counterclockwise.

There are different types of rotations, including 2D and 3D rotations. In 2D geometry, a figure can be rotated by an angle about a point or the origin. In 3D geometry, a figure can be rotated about an axis, such as the x-axis, y-axis, or z-axis.

1.The algebraic rules for each kind of rotation are:

90° clockwise about the origin: (x, y) → (y, -x)

180° about the origin: (x, y) → (-x, -y)

270° clockwise about the origin: (x, y) → (-y, x)

2. To draw the image of ΔDEF after a 90° clockwise rotation, we apply the algebraic rule for a 90° rotation to each vertex of the triangle.

D(0,0) → (0,0)

E(-1,3) → (3,1)

F(-3,-2) → (2,3)

So, the image of ΔDEF after a 90° clockwise rotation is a new triangle with vertices (0,0), (3,1), and (2,3).

3. To draw the image of ΔDEF after a 180° rotation, we apply the algebraic rule for a 180° rotation to each vertex of the triangle.

D(0,0) → (0,0)

E(-1,3) → (1,-3)

F(-3,-2) → (3,2)

So, the image of ΔDEF after a 180° rotation is a new triangle with vertices (0,0), (1,-3), and (3,2).

4. To draw the image of ΔDEF after a 270° clockwise rotation, we apply the algebraic rule for a 270° rotation to each vertex of the triangle.

D(0,0) → (0,0)

E(-1,3) → (-3,-1)

F(-3,-2) → (2,-3)

So, the image of ΔDEF after a 270° clockwise rotation is a new triangle with vertices (0,0), (-3,-1), and (2,-3).

5. A 360° rotation would result in the triangle returning to its original position. In other words, the image of the triangle after a 360° rotation would be identical to the original triangle.

To know more about triangle visit:

https://brainly.com/question/27949069

#SPJ1

Answer:

1587424.013

Step-by-step explanation:

\(1587424.01\) ✅

Step-by-step explanation:

\( \frac{552551418}{5225} \times 15 + 1152 \\ = 105751.468 \times 15 + 1152 \\ = 1586272.01 + 1152 \\ = 1587424.01\)

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

Learn more about zeros at:

https://brainly.com/question/29415775

#SPJ1

The new values for the mean and the standard deviation are 38 and 5 respectively.

The mean of a population is given as \(\mu = \frac{\sum_{N}^{i}x_i}{N}\) and its standard deviation is given as \(\sigma = \sqrt{\frac{\sum_{N}^{i}(x_i-\mu)^2}{N}}\).

In the question, we are given that a population has a mean of μ = 35 and a standard deviation of σ = 5, and are asked for the new values for the mean and standard deviation when 3 points are added to every score in the population.

We let the new population formed be over the variable k.

Thus, \(k_i = x_i + 3\), for all i from 1 to N.

Thus, the new mean can be calculated as:

\(\mu_k = \frac{\sum_{N}^{i}k_i}{N}\\\mu_k = \frac{\sum_{N}^{i}(x_i + 3)}{N}\\\mu_k = \frac{\sum_{N}^{i}x_i + 3N}{N}\\\mu_k = \frac{\sum_{N}^{i}x_i}{N} + 3\\\mu_k = \mu + 3\\\mu_k = 35 + 3 = 38 [Since, \mu = 35].\)

Thus, the new mean is 38.

Thus, the new standard deviation can be calculated as:

\(\sigma_k = \sqrt{\frac{\sum_{N}^{i}(k_i-\mu_k)^2}{N}}\\\sigma_k = \sqrt{\frac{\sum_{N}^{i}(x_i + 3-38)^2}{N}}\\\sigma_k = \sqrt{\frac{\sum_{N}^{i}(x_i-35)^2}{N}}\\\sigma_k = \sqrt{\frac{\sum_{N}^{i}(x_i-\mu)^2}{N}} [Since, \mu = 35]\\\sigma_k = \sigma = 5.\)

Thus, the new standard deviation is 5.

Thus, the new values for the mean and the standard deviation are 38 and 5 respectively.

Learn more about the mean and the standard deviation at

https://brainly.com/question/26941429

#SPJ1

a. There are three independent variables in a 4 x 2 x 3 factorial design.

b. There are four possible main effects in a 4 x 2 x 3 factorial design, one for each independent variable.

c. There are 24 different conditions in a 4 x 2 x 3 factorial design, which is the product of the levels of each independent variable (4 x 2 x 3 = 24).

d. There are several possible interactions in a 4 x 2 x 3 factorial design, including two-way and three-way interactions between the independent variables.

a). In a factorial design, the independent variables are systematically manipulated in all possible combinations. In a 4 x 2 x 3 factorial design, there are three independent variables, each with a different number of levels.

The first independent variable has four levels, the second independent variable has two levels, and the third independent variable has three levels.

Therefore, there are three independent variables in this design.

b). A main effect is the effect of a single independent variable on the dependent variable, averaged across all levels of the other independent variables.

In a 4 x 2 x 3 factorial design, there are three independent variables, each of which can have a main effect. Therefore, there are three possible main effects in this design.

Additionally, there can be two-way and three-way interactions between the independent variables, which can also affect the dependent variable. However, a main effect is distinct from an interaction effect and is not dependent on any other independent variables.

c).The number of different conditions in a 4 x 2 x 3 factorial design is calculated by multiplying the number of levels for each independent variable.

In this case, the first independent variable has four levels, the second independent variable has two levels, and the third independent variable has three levels.

Therefore, the total number of different conditions is obtained by multiplying these three numbers (4 x 2 x 3 = 24). Each condition represents a unique combination of the levels of the three independent variables.

d). Interactions in factorial designs occur when the effect of one independent variable on the dependent variable depends on the level of another independent variable. In a 4 x 2 x 3 factorial design, there are several possible interactions between the independent variables.

For example, there may be a two-way interaction between the first and second independent variables, meaning that the effect of the first independent variable on the dependent variable depends on the level of the second independent variable.

Similarly, there may be a two-way interaction between the second and third independent variables, or between the first and third independent variables.

Learn more about Factorial design

brainly.com/question/29490374

#SPJ11

Answer:

y = 4x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = 4 , then

y = 4x + c ← is the partial equation

to find c substitute (2, 9 ) into the partial equation

9 = 8 + c ⇒ c = 9 - 8 = 1

y = 4x + 1 ← equation of line

Answer:

Hi im blackpink lisa

Answer:

x= -2

your ans is correct

Step-by-step explanation:

fighting!!!

The true statements about the arcs and angles in circle C are:

In Geometry, the sum of the measures of the interior angles in a quadrilateral is equal to 360°. Thus, we have:

m∠G + m∠GDC + m∠DCE + m∠GEC = 360°

60 + 90 + m∠DCE + 90 = 360

240 + m∠DCE = 360

m∠DCE = 360 - 240

m∠DCE = 120°.

Since ∠DFE is an inscribed angle that is subtended by arc DE, we have:

m∠DFE =  m∠DCE

m∠DFE =  120

m∠DFE = 1/2 × 120

m∠DFE = 60°.

Therefore, ∠EFD ≅ ∠EGD.

From circle C, we can deduce that side ED is subtended by arc ED and side FD is subtended by arc FD (side ED ≅ side FD). Thus, arc ED ≅ arc FD and m arc FD is equal to 120°.

Read more on arcs and angles here: https://brainly.com/question/24043080

#SPJ1

Answer:

A C E

took quiz

As a result, for the same data set, a 99% confidence interval would have a greater margin of error than a 90% confidence interval.

Answer: If a 90% confidence interval is constructed based on a sample of data, and it is 74% + 3%, a 99% confidence interval based on this same sample of data would have a larger margin of error and probably a different center.

What is a confidence interval? A confidence interval is a statistical technique used to establish the range within which an unknown parameter, such as a population mean or proportion, is likely to be located. The interval between the upper and lower limits is called the confidence interval. It is referred to as a confidence level or a margin of error.

The confidence level is used to describe the likelihood or probability that the true value of the population parameter falls within the given interval. The interval's width is determined by the level of confidence chosen and the sample size's variability. The confidence interval can be calculated using the standard error of the mean (SEM) formula

.A 90% confidence interval indicates that there is a 90% chance that the interval includes the population parameter, while a 99% confidence interval indicates that there is a 99% chance that the interval includes the population parameter.

When the level of confidence rises, the margin of error widens. The center, which is the sample mean or proportion, will remain constant unless there is a change in the data set. Therefore, alternative A is the correct answer.

To know more about margin visit:

https://brainly.com/question/15357689

#SPJ11

To find:

The method of drwaing the graph of given inequality.

Solution:

Given inequality: -3m +18 < 30.

Solve the inequality:

To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.

The required area under the whole probability density curve is given by option C. 1.

The area under the entire probability density curve is equal to,

As the probability density function (pdf) represents the probability of a continuous random variable.

And continuous random variable taking on a specific value within a certain range.

Since the total probability of all possible outcomes must be equal to 1.

This implies that the area under the entire probability density function (pdf) curve must also be equal to 1.

Therefore, the area under the entire probability density curve function is equal to option c. 1.

Learn more about area here

brainly.com/question/30066972

#SPJ4

Answer:

  t ∈ (-4.5, 2.25]

Step-by-step explanation:

You want to solve the compound inequality ...

  1/3t -5 < t -2 ≤ -3t +7

We can divide this into two inequalities.

  1/3t -5 < t -2   ⇒   -3 < 2/3t   ⇒   -4.5 < t

and

  t -2 ≤ -3t +7   ⇒   4t ≤ 9   ⇒   t ≤ 2.25

The solution interval is the intersection of these two solutions:

  -4.5 < t ≤ 2.25

  t ∈ (-4.5, 2.25]

<95141404393>

Answer:

1) $10b

2) 20

3) $5a

Answer: I don't know

Step-by-step explanation:

Answer:

m = −2

Step-by-step explanation:

Give me brainllest or お前はもう死んでいる

Answer:

m=-2

Step-by-step explanation:

The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is  (14, -π/3, 1).

We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)

A)(−7, 7, 7)

Given rectangular coordinates(x, y, z) =(−7, 7, 7)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²+(7)²

r = √49+49

r = √98

θ = tan⁻¹ (y/x)

θ =tan⁻¹  (7/-7)

θ =tan⁻¹  (-1)

θ = -π/4

So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)

B) (-7,7√3,1)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²(7√3)²

r = √49+147

r = √196

r = 14

θ = (y/x)

θ = (7√3/-7)

θ = (-√3)

θ = -π/3

So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)

To learn more about cylindrical coordinates link is here

brainly.com/question/17185505

#SPJ4

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Answer:

4.5

Step-by-step explanation:

The distance in-between points F and G is 4.5

The amount growing continuously after one year will be $13,470.89.

Given that:

P₀ = $12,750

t = 1 year

r = 5.5% or 0.055

Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.

The equation is given as,

\(\rm P=P_o \times e^{rt}\)

The amount after one year is calculated as,

\(\rm P = \$12,750 \times e^{0.055\times 1}\)

P = $12,750 x 1.0565

P = $13,470.89

The amount growing continuously after one year will be $13,470.89.

More about the continuous compounding link is given below.

https://brainly.com/question/19522540

#SPJ1