Eva’s ice Creamery sold 50 sundaes last week. There were nuts on 35 of the sundaes. Without nuts to the total number of sundaes?

Answer:

-32x-60y+1122=0

-(32x+60y-1122)=0

32x+60y-1122=0

by factorize

Answer:

24,30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cosB = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{5}{13}\)

tanB = \(\frac{opposite}{adjacent}\) = \(\frac{AC}{BC}\) = \(\frac{12}{5}\)

sinB = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{12}{13}\)

We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.

2 snacks= $8

What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4

1 snack= $4

Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:

32 - 8= 24

3 tickets= $24

Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:

1 ticket= $8

Therefore, snacks are $4 and movie tickets are $8

x tickets= 8x

x snacks= 4x

Thank you! Btw can i please get brainly :3

The two number of rivers that run through the Fertile Crescent are the Tigris and the Euphrates.

These rivers were positive for societies in the Fertile Crescent because they provided a reliable number of  source of water for irrigation and drinking, and their associated river basins provided a variety of resources including fish, plants, and minerals. However, the rivers were also negative for societies in the Fertile Crescent because they could be unpredictable and cause flooding and erosion, which could destroy homes and crops.

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Answer:

The two rivers that run through the Fertile Crescent are the Euphrates and the Tigris. The rivers are the reason that the region is referred to as “fertile”. A fertile region is an area that produces healthy, sustaining vegetation. The negative aspect of the rivers was that flooding was common. Flooding could wipe out an entire years crop.

Step-by-step explanation:

pictures below

Answer:

This may occur when you decide to determine a function as well as a graph.

Step-by-step explanation:

Hope this helps! :D

According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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Answer:

Step-by-step explanation:

y= 3.50m + 35

y= 4.25m

4.25m = 3.50m + 35

.75m = 35

m = about 47 movies

Answer:

18

Step-by-step explanation:

Take the 54. The cake reduces her size by 1/3 so you multiply 54*1/3 to get 18 inches or 1.5 feet tall. :)

An equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

For given question,

We need to find an equation of ellipse having foci (0, 3), (0, 7), vertices (0, 0), (0, 10)

The x -coordinates of the vertices and foci are the same, so the major axis is parallel to the y -axis.

Thus, the equation of the ellipse will have the form

\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)

First, we identify the center,  (h, k) . 

The center is halfway between the vertices, (0, 0), (0, 10)

 Applying the midpoint formula, we have:

\(\Rightarrow (h,k)=(\frac{0+0}{2} ,\frac{0+10}{2} )\\\\\Rightarrow (h,k)=(0,5)\)

Next, we find  a² . 

The length of the major axis,  2a , is bounded by the vertices.

We solve for  'a'  by finding the distance between the y-coordinates of the vertices.

⇒ 2a = 10 - 0

⇒ 2a = 10

⇒ a = 5

⇒ a² = 25

Now we find  c² . 

The foci are given by  (h, k ± c)

So,  (h, k - c) = (0, 3) and  (h, k + c) = (0, 7)

k - c = 3

k + c = 7

After solving above system of equations we have,

c = 2 and k = 5

So, c² = 4

Next, we solve for  b²  using the equation  c² = a² - b²

⇒ 4 = 25 - b²

⇒ b² = 25 - 4

⇒ b² = 21

Now, we substitute the values found for  h, k, a², and  b²  into the standard form equation for an ellipse:

\(\Rightarrow \frac{(x-0)^2}{25}+\frac{(y-5)^2}{21}=1\\\\\Rightarrow \frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

Therefore, an equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

0.5

Step-by-step explanation:

rate of change is just a synonym for slope and the equation for slope is y=mx +b where m is the slope so 0.5=m and if m= slope then 0.5=slope=rate of change :)

Jack has 22 ounces of Halloween candy left. The amount Jack gave away and the amount he ate from the amount he bought to find out how much candy he has left.

To solve this problem, we need to first convert the measurements of the candy into the same units. Jack bought 5 pounds of candy, gave away 3 pounds, and ate 10 ounces. Since there are 16 ounces in a pound, we can convert the measurements into ounces as follows:

5 pounds = 5 x 16 = 80 ounces

3 pounds = 3 x 16 = 48 ounces

10 ounces (already in ounces)

To find out how much candy Jack has left, we need to subtract the amount he gave away and the amount he ate from the amount he bought:

80 ounces (bought) - 48 ounces (gave away) - 10 ounces (ate) = 22 ounces

Therefore, Jack has 22 ounces of Halloween candy left.

In summary, to solve this problem, we need to convert all the measurements into the same units, which in this case is ounces. We then subtract the amount Jack gave away and the amount he ate from the amount he bought to find out how much candy he has left.

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Answer:

y>x3+x2

Step-by-step explanation:

it has the greater than sign

2 because  iiiiiiiiiiiiiiiiiiiiiiiiii

20 + 4 * 9

20 + 36

$56

Measure of arc MLK is 270°

Angle MKL = 135 degrees

We are looking for the measure of the arc MLK

The diagram shows an angle formed by a chord (MK) and tangent

The relationship between angle formed by a chord and tangent:

Measure of arc MLK:

the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.

Amdahl's Law is used to calculate the overall speedup of a system when only a portion of the system's execution time is improved. The formula for Amdahl's Law is: Speedup = 1 / [(1 - P) + (P / S)], where P represents the proportion of the execution time that is improved and S represents the speedup achieved for that proportion.

In this case, the system spends 55% of its time on I/O, so P = 0.55. The disk upgrade provides for 50% greater throughput, which means S = 1 + 0.5 = 1.5.

Plugging these values into the Amdahl's Law formula, we have Speedup = 1 / [(1 - 0.55) + (0.55 / 1.5)].

Simplifying further, we get Speedup = 1 / [0.45 + 0.3667].

Calculating the expression in the denominator, we find Speedup = 1 / 0.8167 ≈ 1.2247.

Therefore, the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.

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Answer:

7n+21

Step-by-step explanation:

times each number or letter in the parenthesis by 7

7(n)+7(3)

7n+21

Answer:

Step-by-step explanation:

2) 133 + a = 180 {Linear pair}

            a = 180 - 133

           a = 47

a +b = 180   {linear pair}

47 + b = 180

      b = 180 - 47

      b = 133

x = b + 30   {Exterior angle property}

x = 133 +30

x = 163

3) m + 35+ 35 = 180 {Angle sum property of triangle}

m + 70 = 180

m = 180 - 70

m = 110

z = 35 {alternate interior angles are congruent}

x = m + z

x = 110 + 35

x = 145

We know that the probability of getting a head in a single coin is:

Now, we can calculate the probability of X out of N coins landing heads up with the binomal distribution:

With p = 0.5 and N = 4, we get:

Subtituting X = 1 ("getting one head"), we get that:

Considering the definition of an equation and the way to solve it, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

First, you define the variable "t" as the time for the landscaping company to work on the backyard renovation. You know that:

So the price of each company is:

If both companies equal the same price, the equation in this case is:

Price of company A= Price of company B

50+ 10t= 30 + 15t

Solving

50 - 30= 15t - 10t

20= 5t

20÷5= t

4=t

At this time, the price of both companies is

In summary, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.

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Answer:

-9

Step-by-step explanation:

for linear equations, the show off the line is the coefficient of x.

in this case, the slope would be -9

The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).

Curve A represents an exponential growth pattern. It starts with a relatively slow increase but gradually accelerates over time. This type of growth is commonly observed in natural phenomena like population growth or the spread of infectious diseases.

Curve B depicts a logarithmic decay pattern. It begins with a steep decline but levels off over time. Logarithmic decay is often seen when a process initially experiences rapid changes but eventually approaches a stable state or limiting factor.

Curve C displays a linear growth trend. It shows a constant and consistent increase over time. Linear growth is characterized by a steady rate of change and is commonly observed in situations where there is a constant input or output.

Curve D represents a sigmoidal growth pattern. It starts with a slow initial growth, then experiences rapid expansion, and finally levels off. Sigmoidal growth is prevalent in various fields, such as biology, economics, and technology, where a system initially has limited resources, undergoes rapid development, and eventually reaches a saturation point.

The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).

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The equation that is the same as y = 3 cos(2 (x + π/2)) - 2 is y = -3 sin (2(x + π/4)) -2

We have the original equation as;

y = 3 cos(2 (x + π/2)) - 2

The sine and cosine functions are related by the formula;

cos(θ) = sin (π/2 - θ)

Hence;

y = 3 cos(2 (x + π/2)) - 2

y = 3 cos(2x + π) - 2

When θ = 2x + π, it follows that:

cos(2x + π) = sin (π/2- (2x + π))

= sin (-2(x + π/4))

Since

sin(-θ) = -sin (θ)

Then:

sin (-2(x + π/4)) = -sin (2(x + π/4))

So

sin (2(x + π/4)) = cos(2x + π)

Finally;

y = -3 sin (2(x + π/4)) -2

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5.⇒I will use substitution method to solve this system of equations.

a=8+b......(1st equation)

a=20-b(2nd equation)

\(eq1=eq2\\8+b=20-b\\b+b=20-8\\2b=12\\\frac{2b}{2} =\frac{12}{2} \\b=6\)

\(a=20-b\\a=20-(6)\\a=14\)

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

y=2x....(1st equation)

6y+2x=0(2nd equation)

Plug in the first equation in the second equation.

Hint: in the place of y in the second equation plug in 2x

\(6(2x)+2x=0\\8x=0\\\frac{8x}{8} =\frac{0}{8} \\x=0\)

\(y=2x\\y=2(0)\\y=0\)

Goodluck

Answer:

i

Step-by-step explanation:

To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.

For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:

3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x

This is the solution of the equation.

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The final answer is C3 is approximately 0.21, to 2 digits after the decimal.

To find C3, we need to use the fact that v is a linear combination of the basis vectors bi, b2, and b3, with coefficients C1, C2, and C3 respectively.

So we have:
v = C1bi + C2b2 + C3b3

Substituting the given values for v and the basis vectors, we get:
-1-1 = C1(1/√2) + C2(-1) + C3(0)

Simplifying, we get:
C1/√2 - C2 = 1

To solve for C3, we need to use the fact that the basis vectors are orthonormal, which means they are pairwise orthogonal (i.e. perpendicular) and have unit length.

In particular, this means that:
bi · b3 = 0
b2 · b3 = 0
bi · bi = 1
b2 · b2 = 1
b3 · b3 = 1

Using the given values for the basis vectors, we can compute the dot products:
bi · b3 = 1/√2 * 0 - 1 * 1/2 + 0 * (-1/2) = -1/2
b2 · b3 = (-1) * 0 + 0 * (-1/2) + 0 * (1/2) = 0
bi · bi = 1/√2 * 1/√2 + (-1) * (-1) + 0 * 0 = 1
b2 · b2 = (-1) * (-1) + 0 * 0 + 0 * 0 = 1
b3 · b3 = 0 * 0 + 0 * 0 + 1 * 1 = 1

Now we can use the fact that the dot product of two vectors is related to their projection onto each other. Specifically, if u and v are vectors, then:
u · v = |u| * |v| * cos(theta)

where |u| and |v| are the lengths of u and v, and theta is the angle between them.

In our case, we can use the dot product of bi and b3 to compute the projection of v onto the b3 direction.

We have:
v · b3 = (-1-1) * 0 = 0

But we also know that:
v · b3 = C1 * (bi · b3) + C2 * (b2 · b3) + C3 * (b3 · b3)

Substituting the dot products we computed earlier, we get:
0 = -1/2 * C1 + 0 * C2 + 1 * C3

Simplifying, we get:
C3 = 1/2 * C1

We can now substitute the expression we found for C1 earlier, to get:
C3 = 1/2 * (1 + C2/√2)

Finally, we can use the fact that v is a vector in R3, which means it can be written in terms of any orthonormal basis. In particular, we can use the given basis B to express v as a linear combination of its basis vectors, and solve for the coefficients C1, C2, and C3.

We have:
v = -1-1 = (-1/√2)bi - b2

Substituting this into the expression we found for C1 earlier, we get:
1/√2 - C2 = 1

Solving for C2, we get:
C2 = -1/√2

Substituting this into the expression we found for C3, we get:
C3 = 1/2 * (1 - 1/√2) ≈ 0.21

Therefore, C3 is approximately 0.21, to 2 digits after the decimal.

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Hello!

Let's solve this question by using elimination.

5x + 10y = 7

4x + 8y = 3

Let us solve for "y" first by making our "x" variables cancel each other out.

4(5x + 10y = 7)

-5(4x + 8y = 3)

20x + 40y = 28

-20x -40y = -15

0 = 13

Since both the "x" and "y" variables were canceled out after trying to eliminate one of the variables, we can't find a solution since we now have no variables to solve for, therefore there is no solution.

Answer: No solutions