The lunch lady has 3 pounds of lasagna. If she makes 16-pound servings using this amount of lasagna, how many servings can she make?

Answer:

60

Step-by-step explanation:

Karen spent $42.00 on movie ticket and $11.00 on popcorn.

Firstly calculating the amount spent on movie tickets

Cost of one movie ticket = $10.50

Cost of four movie tickets = 4×10.5

Performing multiplication on Right Hand Side of the equation

Cost of four movie tickets = $42.00

Now calculating the amount spent on popcorn

Cost on one bucket of popcorn = $5.50

Cost of two buckets of popcorn = 2 × 5.50

Performing multiplication on Right Hand Side of the equation

Cost of two buckets of popcorn = $11.00

Hence, the cost spent on movie tickets and popcorn is $42.00 and $11.00 respectively.

Learn more about multiplication :

https://brainly.com/question/10873737

#SPJ4

Answer:

Niether

Step-by-step explanation:

its not a solution

Answer:

Use the distance formula on both points AC and AB.

Distance formula is this:

\begin{gathered}d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\\end{gathered}d=(x2−x1)2+(y2−y1)2d=(1−−5)2+(8−−7)2d=(6)2+(15)2d=36+225d=261

Distance for AC  is  16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

the answer is 43.5

The probability that the dart lands in centre is = √2-1.

acc to our question-,

hence,The probability that the dart lands in centre is = √2-1.

learn more about probability click here:

brainly.com/question/13604758

#SPJ4

Answer:

x=26 degrees (D)

Step-by-step explanation:

Let's say x is the angle.

90-x would be the complement of the angle

180-x is the supplement

We can make the equation

supplement-26=2complement as the question states that twice the complement is 26 less than the supplement.

We can now substitute the 90-x and 180-x in their respective positions to get (180-x)-26=2(90-x) if we simplify this we get 180-x-26=180-2x which if we take away 180-x from both sides we get that -26=-x or 26=x

Step-by-step explanation:

Area of square = Length x Length =

\( {length}^{2} \)

Given Area of square =

\(256 {ft}^{2} \)

\( {length}^{2} = 256 \\ length = \sqrt{256} \\ = 16ft\)

The sample size should be approximately 4704 to achieve a margin of error of 4 with a 95% confidence level from a population with a standard deviation of 35.

To achieve a margin of error of 4 with a 95% confidence level from a population with a standard deviation of 35, the sample size should be calculated using the formula for sample size determination in confidence intervals.

To determine the required sample size, we can use the formula:

n = \((Z \cdot \sigma / E)^2\)

where:

n = sample size

Z = Z-score corresponding to the desired confidence level (in this case, 95% confidence level)

σ = population standard deviation

E = margin of error

In this scenario, the margin of error (E) is 4, and the population standard deviation (σ) is 35.

We need to find the appropriate Z-score for a 95% confidence level.

The Z-score for a 95% confidence level is approximately 1.96.

Plugging in these values into the formula, we have:

n = \((1.96 \cdot 35 / 4)^2\)

Simplifying the equation, we get:

n = \((68.6)^2\)

n ≈ 4704

Therefore, the sample size should be approximately 4704 to achieve a margin of error of 4 with a 95% confidence level from a population with a standard deviation of 35.

Learn more about Standard Deviation here:

https://brainly.com/question/475676

#SPJ11

We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:

Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.

Let's learn more about interval:

https://brainly.com/question/479532

#SPJ11

∠EFH and ∠ACD are angles of alternate exterior angles in the figure as  alternate external angles are those that are generated on the outer side of the parallel lines .

When two straight lines connect at a 90° angle or are perpendicular to one another, an angle is formed. The symbol denotes a right angle. In the picture up above, many right angle formations are visible. Shapes include the correct angles. Triangles classified as right triangles have one of their internal angles at a 90 degree right angle. The three interior angles of a triangle add up to 180 degrees, so the three interior angles of a right triangle must always add up to 90 degrees because one of them is always 90 degrees.

given

The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.

sum up to 180 degrees, you can calculate the size of the inner angle adjacent to it if you know the size of the outer angle (since together they are the angle on a straight line). The internal angles at the other two vertices are added to create the outer angle of a triangle.

To know more about angles visit :-

https://brainly.com/question/28451077

#SPJ1

Answer:

30 People

Step-by-step explanation:

1)$500-$50=450

total budget - catering fee= new total of 450

2)450/15=30

450/15 per person=30 people and your total charge is $500

Answer:

Yes, the statement is true

Btw, it's an angle not angel

Please mark as brainliest

Answer:

that is True.

Answer:

The new blueprint's width will be 7 inches.

Explaination:

Create a proportion: 2in:7ft

Divide 12 by 2 and multiply by 7 to find the real width: 6•7=42

Divide actual width by 6 and multiply by 1 to find the new scale: (42/6) •1 = 7

To test the hypothesis that weight gain during pregnancy is associated with infant's birth weight, Pearson's correlation coefficient (option B) would be an appropriate statistical test.

In this scenario, the goal is to examine the association between two continuous variables: weight gain during pregnancy (independent variable) and infant's birth weight (dependent variable). Pearson's correlation coefficient is used to measure the strength and direction of the linear relationship between two continuous variables.

Option A, the Chi-square test, is not appropriate as it is used to analyze categorical variables, such as comparing frequencies or proportions between different groups.

Option C, a paired t-test, is used when comparing means of a continuous variable within the same group before and after an intervention or treatment, which does not align with the current scenario.

For more information on Pearson's correlation visit: brainly.com/question/31692588

#SPJ11

Answer:

Your answer is correct. Good job!

Step-by-step explanation:

Answer:

2.15 km

Step-by-step explanation:

Julian has 68 books. This is found by subtracting 45 from Wyatt's total of 113 books, as Wyatt has 45 books more than Julian.

Let's assume that Julian has x books. Since Wyatt has 45 books more than Julian, Wyatt has x + 45 books.

Together, they have 181 books, so we can write the equation:

x + (x + 45) = 181

Combining like terms, we get:

2x + 45 = 181

Subtracting 45 from both sides, we have:

2x = 136

Dividing both sides by 2, we get:

x = 68

Therefore, Julian has 68 books.

learn more about Subtracting here:

https://brainly.com/question/13619104

#SPJ11

d= 17/2 is the solution of the given equation 43-3 d=d+9.

According to the given question.

We have a linear equation in one variable 43 -3d = d + 9.

Since, we have to solve the above linear equation in one varible 43 -3d = d + 9, which means we have to solve the above equation for d.

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofore, the solution of the given linear equation in one variable 43 -3d = d + 9 is given by

43 -3d = d + 9

⇒ 43 - 9 -3d = d          (subtracting 9 from both the sides)

⇒ 34 = d + 3d      (adding 3d both the sides)

⇒ 34 = 4d

⇒ d = 34/4

⇒ d = 17/2

Now, we will check whether d = 17/2 is the solution of the given equation or not.

Thereofore,

LHS

= 43 - 3(17/2)

= 43 - 51/2

= 86 - 51/2

= 35/2

RHS

= 17/2 + 9

= 17 + 18/2

=35/2

Here, LHS = RHS for d = 17/2

Hence, d= 17/2 is the solution of the given equation 43-3 d=d+9.

Find out more information about equation here:

https://brainly.com/question/28595319

#SPJ4

Therefore, the best measure of center for this data is the median, and its value is 3.

The median is a measure of central tendency that represents the middle value of a set of data when it is arranged in order from lowest to highest (or highest to lowest). It is the value that divides the data set into two equal halves, with half of the values above and half below the median.

Here,

The median is the best measure of center for this data because it is skewed and not symmetrical. The value of the median can be found by ordering the data from smallest to largest: 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 10. The median is the middle value, which is 3.

To know more about median,

https://brainly.com/question/29156884

#SPJ1

There is 60 total number of marbles in the bag for the probability of selecting a red marble is 7/10.

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

let the total possible outcome = x

probability of selecting a red marble = P(R) = 7/10

Given that there are 42 red marbles tgen:

42/x = 7/10

x = (42 × 10)/7 {cross multiplication}

x = 420/7

x = 60

Therefore, given the probability of selecting a red marble to be 7/10, the total number of marbles in the bag is derived to be 60

Read more about probability here:https://brainly.com/question/251701

#SPJ1

Answer: y=7

Step-by-step explanation: looking at the graph when x is -5 y= 7

Answer:

1)The slope of the smaller triangle is smaller.

2)The slope of the larger triangle is larger than the slope of the smaller triangle.

3)Tre triangles are congruent

4)The slopes of the two triangles are the same.

5)Line A

Answer:

1(d), 2(not correct) 3,4,5 given below

Step-by-step explanation:

1. the slopes are same as we know

m=tan theta=y/x so the slope is same

2. it will be 10 m= tan theta=y/x

or, slope =70-40/7-4=10

3. let x and y are the sides of the triangles

so for 1 triangle it will be x=5 and y=2

"" "" another one its the multiple of 5 and 2 such as x=10 and y=4

4. the two triangle lie on the same line as slopes are equal

1st one , slope=72/12=6

2nd one slope=144/24=6

as slopes equal so they are collinear.

5. i am sorry i am not sure about it

i took all the three lines. as the slope of 5 and 7 no triangleare same(m=0.75) and smaller than others then on line A

then slope of 8 and 9 no triangle are same(m=1.5) so on the line B

then slope of 6 and 10 are same (m=3) so on the line C

i took the three lines for this...

THE ALL ANSWERS ARE BASED ON PRIMARY CONCEPT IF U FIND ANY MISTAKE PLEASE TELL ME LATER..THANK U

Answer:

I believe thats Sam Houston

Answer:

Samuel Houston

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the y-intercept is -2 and the slope is up 3 left two which is -3/2

Answer:

Step-by-step explanation:

it's a rectangular box  with dimensions, 17.7 x 6.8 x 6.7 = 806.412

806.4 \(ft^{3}\)   to the nearest 10th  

\(\cfrac{2\times 10^{-2}}{3\times 10^{-6}}\implies \cfrac{2}{3}\times\cfrac{10^{-2}}{10^{-6}}\implies \cfrac{2}{3}\times\cfrac{10^{6}10^{-2}}{1}\implies \cfrac{2}{3}\times\cfrac{10^{6-2}}{1} \\\\\\ \cfrac{2}{3}\times 10^4\implies 6666.\overline{66}\)

Answer : 39,865.1m^3

https://brainly.com/question/16146539

Answer:

39881.1m^3

Step-by-step explanation:

Answer:

-385y

Step-by-step explanation:

This expression cannot be factored with rational numbers, so -385y is your answer.

Answer:

a) To find the points of intersection, P and Q, of the tangents and the circle, we can use the fact that a tangent line is perpendicular to the radius at the point of tangency. Therefore, the slope of the tangent line is the negative reciprocal of the slope of the radius.

We know that the equation of the circle is (x-3)² + (y + 3)² = 52. To find the slope of the radius, we can differentiate the equation of the circle with respect to x and y.

dx/dt = 2(x-3) and dy/dt = 2(y+3)

We know that the slope of the tangents is a. So, the slope of the radius is -1/a

Now we can use the point slope form of a line to find the equation of the tangent line.

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We can substitute the point of tangency, which is on the circle, into the point slope form.

y + 3 = -1/a(x - 3)

We can now substitute the point (3, -3) and the slope -1/a into the point slope form to find the equation of the line

y + 3 = -1/a(x - 3)

y = -1/a

Step-by-step explanation:

Not sure if this helps, hope it does!