Jan made a mixed vegetable soup using tomatoes and carrots. Forty percent of the
tomatoes. If she used a total of 50 tomatoes, how many carrots should she use?

The location of the point B on the line with the endpoints is 63

On the segment, we have the following endpoints

A = -3

C = 8

Rewrite the endpoints of the line segment as

A = (-3,0) and C = (8,0)

The ratio of the line is given as

Ratio, A : B = 1 :5

This means that

Point C = A/A + B

So, we have

C = 1/1 + 5

Evaluate

C = 1/6

The coordinate of point C on the line segment is calculated using

Point C = C * (B - A) + A

So, we have

8 = 1/6 * (B + 3) - 3

This gives

1/6 * (B + 3) = 11

So, we have

B + 3 = 66

Subtract 3

B = 63

Hence, the coordinate of the point B on the line segment is  63

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Possible question

if point c divides a directed line segment from point A to point B in a 1 : 5 ratio, what are the coordinates of point B?

A = -3  and C = 8

Ive attached it on this photo. ur welcome :)

Answer:

Step-by-step explanation:

For this question, we recall the point-slope form of the equation of a line:

and the slope-intercept form:

Therefore for the given data, the point-slope form is:

and the slope-intercept form is:

Answer:

0.25 Months =7.6099 Days= 7 Days, 14 Hours, 38 Minutes and 19 Seconds

In Spanish

0.25 Meses =7.6099 Días= 7 Días, 14 Horas, 38 Minutos y 19 Segundos

The number is 17.

Let's assume that the number is x.

So according to the question twice a number is 34 less than 4 times the number.

Then, the equation formed will be as follows

⇒ 2x = 4x - 34

Solving the equation we get the value of x which is the respective number.

Combine the like terms then proceed with calculations.

⇒ 4x - 2x = 34

⇒ 2x = 34

Divide both sides of the equation by 2.

⇒ x = 17

Hence the number whose twice is 34 less than 4 times the number is 17.

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Based on the number of items in the simple random sample, and the sample mean, the standard error of the mean can be found to be 1.12

The standard error of a simple random sample can be found by the formula:

= Population standard deviation / √Number of items in simple random sample

Solving for the standard error gives:

= 5 / √20

= 5 / 4.4721359549995793928183473374626

= 1.118

= 1.12

We can therefore conclude that the standard error of this sample is 1.12.

Rest of the question:
What is the standard error of the mean?

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Answer: 68/9 which simplifies into 7 6/9

Solving a linear equation we will see that there are 47 worms in the container

We know that the mass of the container is 225 grams, and the mass of each worm is 11.2 grams.

Then if there are x worms on the containers, the total mass is:

M(x) = 225g + x*11.2g

In this case, we know that the total mass is 751.4 grams, then we can write:

751.4 g = 225g + x*11.2g

Solving this linear equation we get:

751.4g - 225g = x*11.2g

526.4g = x*11.2g

526.4g/11.2g = x = 47

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no answer for this question

Answer:

16000

Step-by-step explanation:

3984:24.9*100 =

(3984*100):24.9 =

398400:24.9 = 16000

Step-by-step explanation:

a)

[tex]f(x+h) = 2(x+h)-9[/tex]

[tex]f(x+h)=2x+2h-9[/tex]

b)

[tex]f(x+h)-f(x)=2x+2h-9-(2x-9)[/tex]

[tex]f(x+h)-f(x)=2x+2h-9-2x+9[/tex]

[tex]f(x+h)-f(x)=2h[/tex]

c)

[tex]f(x+h)-f(x)h=2x+2h-9-h(2x-9)[/tex]

[tex]f(x+h)-f(x)h=2x+2h-9-2hx+9h[/tex]

[tex]f(x+h)-f(x)h=-2hx+11h+2x-9[/tex]

Step-by-step explanation:

the area function for the square pool itself is

A(x) = x² ft²

the area function for the pool and its sidewalk is

A(x) = (x + 6)² = x² + 12x + 36 ft²

simply because in this case the side length of the square is x+3+3 ft long (3ft added on both edges).

Answer:

9495.221

Step-by-step explanation:

16000=Pe^(0.11x5)

Answer:

[tex]\frac{51}{4}[/tex]

Step-by-step explanation:

Since they are similar we can set up direct proportions

FE:CB=DE:AB

y:6=17:8

[tex]\frac{y}{6} =\frac{17}{8}[/tex]

cross multiply

8y=17*6

divide by 8 each side

[tex]\frac{51}{4}[/tex]

Answer:7.5 inches

Step-by-step explanation:

69.75/9.3=7.5

We have two relations between length of the trench and time.

Case: we want to know how many feet we can dig in a certain amount of time.

In this case, and in most of the cases, time is the independent quantity.

Therefore, the dependent quantity is the other variable: length of the trench.

For example, we can write a proportional relationship between time (x) and length (y) as:

We know that when x=40 min, y=36 ft, according to the machine advertisement.

Then, we can find k as:

And we can write the relation as:

Answer: the independent quantity is time (in minutes).

NOTE:

Which variable is which depends on what we want to calculate.

If we want to know how much it will take to make a certain length of trench, the independent quantity is the length of the trench. The dependent variable is, in this case, time, as we calculate it from the information about the length of the trench.

If we want to calculate the length of the trench we can dig in a certain time, the independent quantity is time and the dependent quantity is the length of the trench.

Answer:

8,081,101,531

Step-by-step explanation:

8,081,101,531

A physics concept called frequency describes how many cycles a wave completes each second. As a result, the following expression is used to get the lower note's frequency [tex]\frac{2}{3}[/tex] f

A wave is a phenomena that moves through a physical medium without leaving any lasting impression on the molecules therein. Energy is transferred from one end of the medium to the other. Sound waves, light waves, electromagnetic waves, etc. are some examples.

Frequency develops during wave propagation. This can be characterized as the number of cycles a wave makes in a second. It's also measured in Hertz.

Let f stand for the upper note's frequency and for the lower note's frequency we have [tex]f_{1}[/tex]. We therefore have;

[tex]f_{1}[/tex] =[tex]f\frac{2}{3}[/tex]

Therefore, the expression for the frequency of the lower notes is [tex]\frac{2}{3}[/tex] f.

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The sequence has its 15th term to be 268435456

From the question, the given parameters are

1, -4, 16

The above sequence is a geometric sequence, with the following parameters

Evaluate the quotient

So, we have

r = -4

The nth term of a geometric sequence is

Tn = a * r^(n-1)

Where

a = 1 and r = -4

Also, we have n = 15

Substitute a = 1 and r = -4 in the equation Tn = a * r^(n-1)

So, we have

Tn = 1 * (-4)^(n-1)

Substitute 15 for n

Tn = 1 * (-4)^(15-1)

Evaluate

Tn = 268435456

Hence, the 15th term of this sequence is 268435456

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Answer:

d

Step-by-step explanation:

becuase you multiply leght times width then multiply height so it turns out to be

6x6=36

36x6=180

The sketch of the given parametric equations is as appended.

Given parametric equations,

x(t) = 1+2t

y(t) = [tex]t^{2}[/tex]

y = [tex]\frac{(x-1)^{2}}{4}[/tex]

For bounding range of -2 ≤ t ≤ 2, corresponding values of x are as follows,

x = 2t + 1

For t = -2, x = 2(-2) + 1 = -3

For t = 2, x = 2(2) + 1 = 5

Hence the graph has been drawn with bounding limits of -3 ≤ x ≤ 5

The outcome is a parabola with vertex at (1,0) and open upwards. The curve moves towards infinity in upwards direction if there are no bounds / range.

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Call the two offers offer A and B respectively.

For offer A, the list price is 5000 pesos with a 15% discount. So you will pay:

For offer B, the list price is 5200 with a 20% discount. So you will pay:

So the first deal is costing 4250 pesos and second one costs 4160 pesos.

Hence the second deal is better by 4250-4160= 90 pesos.

The second deal is the better deal by 90 pesos.

x = 110

Angle 4 is a vertical angle to the 115 degrees angle. Therefore, it must be the same in degree measure. So, we know angle 4 is 115 degrees.

Additionally, angle 4 and angle (x+5) are co-interior angles. This means that they should add up to 180 degrees.

Applying these concepts, we can create an equation:

115 + (x+5) = 180.

When we solve, we end up with x = 110

In evaluating the expression 8+ 9/4 (-2) Jenny found the volume to be 25/2. The mistake she made was

volume = 8 1/4.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

8+ 9/4 (-2) = ?

Hence we solve

(8 – 2) + (9/4 - 0)

6+9/4

The number four is the Least Common Multiple (LCM) of the number one. Multiply each fraction's numerator and denominator by whichever number will result in the denominator of each fraction being equal to the LCM, and then subtract that value from 1.

Subtract the numerators now that the fractions have the same denominators.

9 - 0/4 = 9/4

As we convert to whole numbers we have

9/4 = 2 1/4

Hence

=6 +2(1/4)

=8 1/4.

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The pressure is 672 pounds per square foot at a depth of 10.5 feet.

When a force is delivered to an object's surface perpendicularly to the region across which it is applied, the force is known as pressure (symbol: p or P).

a. The given formula is is P=64d

or , d = P ÷ 64

b. at a pressure of 672

d = 672  ÷ 64

or, d = 10.5 feet

Hence the water pressure on the submerged object is given by

d = P ÷ 64

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1. A conditional statement can be written as

The hypothesis is: It is sunny

The conclusion is: there is daylight

2. The converse of the conditional statement

3. The inverse of the conditional statement

4. The contrapositive of the conditional statement

5. The biconditional statement and can be written because the statement and the converse are both true

6. The biconditional statement is

A conditional statement is a term used in logic that refers to the type of statement that has "if-then". It is sometimes called if-then statements. Conditional statement are of two parts the hypothesis required to ensure that the conclusion. Other forms of conditional statements are

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Answer:  My bill was 17 dollars.  I gave four tokens of equal monetary value to the cashier who gave me in return 3 one dollar bills.  How much was each token worth?  

Step-by-step explanation:  4x - 3 = 17.

                                             add 3 to both sides

                                             4x = 20

                                              x = 5.  Each token was worth $5.