Hey does anyone know the answer to this? Thanks

Hey Does Anyone Know The Answer To This? Thanks

Answers

Answer 1

The contrapositive of the statement "If the lines are skew, then they are not coplanar" is "If the lines are coplanar, then they are not skew."

How can we explain it ?

The contrapositive of a statement is formed by negating both the hypothesis and the conclusion and switching their positions. The contrapositive of "If P then Q" is "If not Q, then not P."

So, the contrapositive of the original statement "If the lines are skew, then they are not coplanar" is "If the lines are coplanar, then they are not skew" (c).

It is important to note that the contrapositive and the original statement are logically equivalent, meaning that if one statement is true, then the other is also true, and vice versa. This is a useful property in mathematical reasoning and proof writing.

What are skew line ?

Skew lines are lines that do not lie in the same plane and do not intersect. In other words, they are lines that are not parallel and not coincident. Skew lines have different directions and they can have a 3-dimensional relationship with each other.

In geometry, skew lines are important because they help define the concepts of parallel lines, coplanar lines, and intersecting lines. Skew lines are used to describe the relationship between lines in space, and they are also used in applications such as computer graphics, engineering, and architecture.

Skew lines can also be used to demonstrate the concept of non-Euclidean geometry, which is a type of geometry that does not follow the traditional rules of Euclidean geometry, where parallel lines are equidistant from each other and never meet. In non-Euclidean geometry, parallel lines can diverge from each other and can have a more complex relationship with each other in space.

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Related Questions

If x and y are in direct proportion and y is 18 when x is 9, find y when x is 5.

Answers

Answer:

y=10

Step-by-step explanation:

18/9=1/2

so

x/5=1/2

Answer: The value of y will be 10 when the value of x is 5.

x and y are directly proportional to each other so,we can write  the given relation in mathematical form as:

y=kx

k is any constant

We are given: The value of y is 18 when value of x is 9:

x=9 and y=18

Putting the value of x and y in the above equation , we get:

18=9k

 k=18/9=2

 k=2

So now we have the proportional relation(k) between x and y.

Again,

we have been given the value of x=5 and we are asked the value of y using same proportional relation.

y=k(5)

y=2(5)=10

Hence the value of y the value of x is 10.

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Suppose that rob and big both raise animals and sell them. Because rob and big have different talents, they have varying abilities to raise these animals. In 1 day, rob can produce either 10 cows or 20 pigs. In 1 day, big can produce either 9 cows or 36 pigs.

Answers

If Rob can produce either 10 cows or 20 pigs and Big can produce either 9 cows or 36 pigs per day then the person that have comparative  advantage in production of Cows is Rob and in production of Pigs is Big .

For Rob :

in 1 day , the number of cows produced is = 10 cows ,

the number of pigs produced is = 20 pigs ;

For Big :

in 1 day , the number of cows produced is = 9 cows ,

the number of pigs produced is = 36 pigs ;

On comparing ,we get that Rob produces more number of Cows than Big;

and also Big produces more number of Pigs than Rob .

Therefore , Rob has advantage in production of Cows and Big has advantage in production of pigs .

The given question is incomplete , the complete question is

Suppose that Rob and Big both raise animals and sell them. Because Rob and Big have different talents, they have varying abilities to raise these animals. In 1 day, Rob can produce either 10 cows or 20 pigs. In 1 day, Big can produce either 9 cows or 36 pigs.

Find who has the comparative advantage in the production of cows and pigs .

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which operationalization is most appropriate for the independent variable of the proposed follow-up experiment

Answers

Type of communication developed by teaching a doctor who is also a collaborator to utilize patient-centered communication or a non-patient-centered communication style.

What is appropriate for the independent variable?

As the researchers are interested in the effect of type of communication on level of mistrust; therefore, type of communication is the independent variable. To establish a causal relationship between the two variables, the independent variable needs to be manipulated, as described in C, by training the doctor to adopt different communication styles.

Here,

Communication style produced by training a doctor who is also a collaborator to use patient-centered communication or a non-patient-centered communication style.

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What is the length of segment AB?

Answers

50

I attached a pic of my work.

so what I did was find the amount of the other sides of the triangle using their opposite congruent sides. aka, the bottom is 90, which means the top should also be 90. and 90-50 is 40, so the rest of that side (which is one side of the triangle) should be 40.

and then I used the pythagorean theorem, since it is a right triangle (indicated by the squares in the corners).

the theorem states that a^2 + b^2 = c^2

so just plug in the legs (a and b), and you should get the amount of segment AB (which is c)

Dilate the segment with a scale factor of r=1/2

Answers

Answer:

3.5 cm long

Step-by-step explanation:

AB*1/2=7*1/2=3.5

Answer:

|AB'| = 3.5 cm

Step-by-step explanation:

Given:

|AB| = 7 cmr = ¹/₂

To dilate the line segment by a scale factor r, multiply the original length of the line segment by the given scale factor:

[tex]\begin{aligned}\implies \sf |AB'|&=\sf |AB| \times r\\\\&=7 \times \dfrac{1}{2}\\\\&=\dfrac{7 \times 1}{2}\\\\&=\dfrac{7}{2}\\\\&=3.5\; \sf cm\end{aligned}[/tex]

Force f acts between a pair of charges, q1 and q2, separated by a distance d. for each of the statements, use the drop-down menus to express the new force in terms of f. q1 is halved, q2 is doubled, but the distance between the charges remains d. q1 and q2 are unchanged. the distance between the charges is doubled to 2d. q1 is doubled and q2 is tripled. the distance between the charges remains d.

Answers

The initial force between the two charges is given by:

[tex]F=k\frac{q_{1} q_{2} }{d^2}[/tex]

where k is Coulomb's constant, q1 and q2 are the two charges, and d is their separation. Let's analyze now the other situations:

1. F

In this case, q1 is halved, q2 is doubled, but the distance between the charges remains d.

So, we have:

q'₁=q₁/2

q'₂=2q₂

d'=d

So, the new force is:

[tex]F'=k\frac{q'_{1}q'_{2} }{d^2} \\\\F'=k\frac{(\frac{q_{1} }{2})(\frac{q_{2} }{2}) }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{d^2} =F[/tex]

So the force has not changed.

2. F/4

In this case, q1 and q2 are unchanged. The distance between the charges is doubled to 2d.

So, we have:

q'₁=q₁

q'₂=q₂

d'=2d

So, the new force is:

[tex]\\F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{2d^2} \\\\F'=\frac{1}{4} k\frac{q_{1}q_{2} }{d^2} \\\\F'=\frac{F}{4}[/tex]

So the force has decreased by a factor of 4.

3. 6F

In this case, q1 is doubled and q2 is tripled. The distance between the charges remains d.

So, we have:

q'₁=2q₁

q'₂=3q₂

d'=d

So, the new force is:

[tex]F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{2q_{1}3q_{2} }{d^2}\\ \\F'=6k\frac{q_{1}q_{2} }{d^2} =6F[/tex]

So the force has increased by a factor of 6.

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Answer:

1. F

2. F/4

3. 6F

Use the teams data frame from the lahmanrbroom package. fit a multivariate linear regression model to obtain the effects of bb and hr on runs () in 1971. use the tidy() function in the package to obtain the results in a data frame.1) what is the estimate for the effect of bb on runs? what is the estimate for the effect of hr on runs?2) fit a linear model on the results from question to determine the effect of year on the impact of bb. for each additional year, by what value does the impact of bb on runs change?3) what is the p-value for this effect?

Answers

1) library(lahmanrbroom)

model <- lm(runs ~ bb + hr, data = teams %>% filter(yearID == 1971))

tidy(model)

2) model2 <- lm(bb ~ year, data = tidy(model))

3) The p-value for this effect is significantly different from zero.

The teams data frame from the lahmanrbroom package

1) To obtain the effects of bb (walks) and hr (homers) on runs in 1971 using the teams data frame from the lahmanrbroom package and the tidy() function, the following code can be used:

library(lahmanrbroom)

model <- lm(runs ~ bb + hr, data = teams %>% filter(yearID == 1971))

tidy(model)

The estimate for the effect of bb on runs can be found in the 'Estimate' column for the variable 'bb', and the estimate for the effect of hr on runs can be found in the 'Estimate' column for the variable 'hr'.

2) To determine the effect of year on the impact of bb, a linear model can be fit on the results from the previous question. The following code can be used:

model2 <- lm(bb ~ year, data = tidy(model))

The coefficient for the variable 'year' in this model represents the change in the impact of bb on runs for each additional year.

3) The p-value for this effect can be found in the 'p.value' column of the output of the summary() function applied on the model2, which tests if the coefficient for the variable 'year' is significantly different from zero.

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1. 3f+10-6f-4
2. 7ab-2a+5ab-9a
3. -2t-8r+3t-4r
4. 2a+9b-5a-10b PLEASE HELP!!

Answers

1. 3f + 6

2. 12ab - 11a

3. 1t - 12r

4. 3a -1b

pls pls pls pls mark as brainiliest

pls im literally begging you

Answer:

-3f + 6

12ab - 11a

t - 12

-3a - b

Step-by-step explanation:

3f + 10 -6f -4  Combine like terms

(3f -6f) +( 10-4)

-3f + 6

7ab - 2a + 5ab - 9a

(7ab + 5ab) + (-2a - 9a)

12ab + -11a    Adding a negative is the same as subtracting a positive

12ab - 11a

-2t - 8r + 3t - 4r

(-2t + 3t) + (-8r - 4r)

t + -12r

t - 12

2a + 9b - 5a - 10b

(2a - 5a) + ( 9b -10b)

-3a - b

Find the slope of the ordered pairs below

Answers

Answer:

[tex]\boxed{\sf \:Slope(m)=2}[/tex]

Step-by-step explanation:

Let's use the slope formula to find the slope of (2,2) and (3,4):-

Slope formula :- m=(y2-y1)/(x2-x1)

[tex]\sf \left(x_1,\:y_1\right)=\left(2,\:2\right)[/tex]

[tex]\sf \:\left(x_2,\:y_2\right)=\left(3,\:4\right)[/tex]

[tex]\sf m=\cfrac{4-2}{3-2}[/tex]

[tex]\sf m=\cfrac{2}{1}[/tex]

[tex]\sf m=2[/tex]

Therefore, the slope is 2!!

_____________________

Hope this helps!

Have a great day!

Hey can you help me with this please it’s hard

Answers

Answer:

first get one odd No, again more odd number than even, Lastly two or more odd number

If 16, x, 1, y are in Geometric Progression, find the product of x and y. ​

Answers

The product of x and y is: "1"

Step-by-step Solution:

Given: 16/9, x, 1, y  are in Geometric Progression (G.P)

Let the general terms of a Geometric Progression are: a, ar, ar², ar³

So, On comparing we get; a=16/9,

⇒ar² = 1

⇒ 16/9*r² = 1

⇒ r² = 9/16

r = 3/4

x = ar

⇒ (16/9)(3/4)

x=4/3.

y = ar³

⇒(r)(ar^2) = (3/4)(1)

y=3/4.

Now, to find the product of "x" and "y":

⇒x*y = 4/3 x 3/4

1

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in bridge, there are 4 players (a, b, c, d) and each player receives thirteen cards (from a standard shuffled deck of 52 cards). what is the probability that (a) exactly 1 of the 4 players has exactly one ace and one king?

Answers

0.168 is the probability that exactly 1 of the 4 players has exactly one ace and one king.

What is probability?

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

a)

Given that,

each player gets 13 cards.

So, n = total no. of ways = ⁵²C₁₃ = 6.350× 10¹¹

As we know, there are 2 black aces and 4 kings in a deck of 52 cards. Since, one black ace out of 2 black aces can be chosen in ²C₁ ways, next one king out of 4 kings in ⁴C₁ ways and the remaining 11 cards from the remaining 46 cards in ⁴⁶C₁₁ ways.

So, m = ²C₁ × ⁴C₁ × ⁴⁶C₁₁

m = 1.067 × 10¹¹

Therefore, Required probability p =  m/n

p = (1.067 × 10¹¹) / (6.350× 10¹¹)

p = 0.168

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give your answer to 1d.p.

Answers

Answer: 26.8

Step-by-step explanation:

[tex]\frac{8.2}{m}=\tan 17^{\circ}\\\\\frac{m}{8.2}=\frac{1}{\tan 17^{\circ}}\\\\m=\frac{8.2}{\tan 17^{\circ}}\\\\m \approx 26.8[/tex]

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

12y would be the answer

Step-by-step explanation:

To simplify, you first need to combine like terms

6y + 6y =12y

-10x+11x=x

x+12y+8 would be the simplified result

Answer:

x+12y+8

Step-by-step explanation:

8+6y-10x+6y+11x

8+6y+6y-10x+11x.......................collecting like term

8+12y+x = x+12y+8

Find the area under the standard normal distribution curve to the right of z = 2.12. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

Answers

The area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

What is the Area under the Standard Normal Distribution Curve?The standard normal distribution curve's total area under the curve is 1. We can therefore calculate the likelihood of a value less than or larger than that if we know the Z score, which measures how far a value is above or below the mean. Under the typical normal curve when using the Normal Distribution P(Z>z)=1-P(Z<z) determines the region to the right of z.

In this question:

Area right to the right of the z = 2.12

Using a TI-83 Plus/TI-84 Plus calculator,

P(Z> 2.12)

= P(Z<-2.12)

= 0.0170

Therefore the area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

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Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(x)).


2x + 1
2x + 4
X + 4
2x^2 + x - 21

Answers

Answer:

2x + 1

Step-by-step explanation:

To find f(g(x)), we need to substitute g(x) for x in the function f(x) = 2x + 7.

so f(g(x)) = 2(x - 3) + 7 = 2x - 6 + 7 = 2x + 1

So the composition of function f(g(x)) is f(g(x)) = 2x + 1.

For her party, Carla bought a 5-pound bag of candy to give as party treats. She invited 15 people. How much candy will each of the 15 people get? Choose the correct equation and answer for this situation.

A) 15 ÷ 5 = [tex]\frac{15}{5}[/tex] = 3 pounds

B) 5 ÷ 15 =[tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex] pounds

C) 5 ÷ 15 = 3 pounds

D) 15 ÷ 5 = [tex]\frac{1}{3}[/tex] pounds

Answers

If for her party, Carla bought a 5-pound bag of candy to give as party treats. She invited 15 people. The amount of candy that each of the 15 people get is: A) 15 ÷ 5 = 15/5 = 3 pounds.

How to find the  amount of candy to gives as party treats?

Given data:

Candy bought = 5

Number of people invited = 15

Now let find the amount of candy to gives as party treats

Number of candy = Number of people invited / Candy bought

Number of candy = 15/5

Number of candy = 3 pounds

Therefore we can conclude that the correct option is A.

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Given the equation d over 13 equals 15, solve for d.

Answers


Here the answer is d =45

Explanation
1. Multiply all terms by the same value to eliminate fraction denominators
d/3=15
3 x d/3 = 3 x 15

2. Cancel multiplied terms that are in the denominator
3 x d/3 = 3 x 15
d=3x15

3.Multiply the numbers
d=3x15
d=45


The regression equation y = 8.6sin(0.24x – 1.88) + 62.8 models the Fahrenheit temperature in a room x hours after midnight. What is the maximum temperature in the room during the first 24 hours?

54.2°F
57.0°F
62.8°F
71.4°F

Answers

Answer:

71.4°F

Step-by-step explanation:

The maximum is when [tex]\sin(0.24x-1.88)=1[/tex], yielding a maximum of [tex]8.6+62.8=71.4[/tex].

Which statement is true of table A and table B shown below?



Table A represents a function because there is only one output for
each input value.

Table B represents a function because there is only one output for
each input value.

Table A represents a function because there is only one input for each
output value.

Table B represents a function because there is only one input for each
output value.

Answers

Table A represents a function, but Table B does not represent a function.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

A function or mapping is described as a collection of pairs of x and y that are ordered such that given different values of x, there will also be different values of y or vice versa.

For instance, the function x=y+2 yields a different x for every different value of y, while yielding the same x value for every single different value of y.

We obtain two distinct x for two distinct ys, thus we can refer to this as a function at that point.

As, each element of X is associated with a unique element of Y, so this is a function.

Table A    

          X                Y

          3                 1

          2                 0

          1                  0

As, each element of X is associated with a unique element of Y, so this is a function.

Table B

X             Y

3             -2

5              1

5              2

Hence, Table A represents a function, but Table B does not represent a function.

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triangle ABC was translated 4 units to the left and 3 units down. write the rule that describes the transition that was applied to the triangle ABC to create triangle A’B’C’

Answers

The transition that was applied to the triangle ABC to create triangle A’B’C’ is (x, y) ⇒ (x - 4, y - 3)

What are rigid transformations?

Transformation is the movement of a point from its initial location to a new location. Rigid transformations are transformations on the coordinate plane that preserves the shape and size of the figure. Types of rigid transformations are reflection, translation and rotation.

Rigid transformations are translation, reflection and rotation since they preserve the size.

Translation is the movement of a point up, left, right or down in the coordinate plane.

Triangle ABC was translated 4 units to the left and 3 units down using the rule (x, y) ⇒ (x - 4, y - 3)

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An archaeologist in turkey discovers a spear head that contains 53% of its original amount of c-14.


find the age of the spear head to the nearest year.


(5250 isn’t right)

Answers

The age of the spearhead to the nearest year will be 6,349

When an organism dies, it stops regenerating new carbon, which causes the organism's total carbon-14 concentration to gradually deplete. By analyzing the ratio of carbon-14 to carbon-12 in an organism, scientists can ascertain when it died.

0.53No = Noe^-0.0001t for T.

Divide both sides by No

0.53No = Noe^0.0001t

0.53 = e^-0.0001t

Take the log of both sides

In 0.53 = In e^-0.0001t

Apply In e^x = x.

In 0.53 =-0.0001t

Divide both sides by -0.0001t to solve for t.

t=6,349

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find the area of the parallelogram with vertices a(−3, 0), b(−1, 6), c(8, 5), and d(6, −1).

Answers

Applying the area of the parallelogram formula, it can be concluded that the area is 56 square units.

The area of the parallelogram is the magnitude of the cross-product of the adjacent edges (base and height).

Given information:

A parallelogram is made up of 4 vertices: A(−3, 0), B(−1, 6), C(8, 5), and D(6, −1).

So first we find the adjacent edges as follows:

AB = B - A

     = ( (-1-(-3)) , (6-0) )

     = (2,6)

AD = D - A

     = ((6-(-3)) , (-1-0))

     = (9,-1)

We want to find the area of the parallelogram, we do the following step:

[tex]AB x AD = \left[\begin{array}{ccc}i&j&k\\2&6&0\\9&-1&0\end{array}\right][/tex]

               = i(0 - 0) + j(0 - 0) + k(-2 - 54)

               = -56k

The area of the parallelogram = | AB x AD |

                                                  = √(-56)²

                                                  = 56 square unit

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Determine if the columns of the matrix A span R2. A = 2 1 0 1 Arlo -3 -1 )-The columns span R2. -The columns do not span R2.

Answers

The columns of the matrix A span R2.

In order to determine if the columns of the matrix A span R2, we need to check if the columns of A can be used to generate all possible linear combinations of the form a1v1 + a2v2, where a1 and a2 are scalars and v1 and v2 are the columns of A.

A = [2 1]

[0 1]

[-3 -1]

The columns of A are [2, 0, -3] and [1, 1, -1]. To check if these columns span R2, we need to see if we can create any vector in R2 by taking linear combinations of the columns. We can see that by taking linear combinations of the columns, we can create any vector of the form (a, b) in R2.

For example, by taking a = 2, b = 1, we can generate the vector (2, 1) by taking

a[2, 0, -3] + b[1, 1]

And by taking a = 3, b = -1, we can generate the vector (3, -1) by taking

a[2,0,-3] + b[1,1,-1].

So the answer would be: The columns of the matrix A span R2.

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Which of the layer(s) in the diagram below have liquid-like properties? 3 3&4 1,2,3 & 4 2&4 1,2 & 4

Answers

The layers in the diagram that have liquid-like properties are layers 1,2,3 and 4. This is determined by the properties of liquids, which are: high viscosity, low compressibility, and the ability to flow.

Viscosity is the measure of a liquid's resistance to flow. It can be calculated using the formula η = (ΔP/l) x (d/Δt), where η is the viscosity, ΔP is the pressure difference, l is the length of the flow, d is the change in distance, and Δt is the time difference.

Compressibility is the measure of how a liquid responds to pressure or volume change. It is calculated using the formula β = -1/V (dV/dP), where β is the compressibility, V is the volume, and dV/dP is the change in volume over the change in pressure.

The ability to flow is the measure of how a liquid can move from one place to another. It is calculated using the formula Q = A x v, where Q is the flow, A is the area of the cross-section of the flow, and v is the velocity.

By using these formulas and calculations, it can be determined that layers 1,2,3, and 4 have liquid-like properties.

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a committee of 4 is to be selected from a group of 9 women and 7 men. what is the probability that 2 men and 2 women are selected?

Answers

The probability of selecting 2 men and 2 women from a group of 9 women and 7 men is 11%.

The probability of selecting 2 men and 2 women from a group of 9 women and 7 men is [tex]$\frac{{7 \choose 2}{9 \choose 2}}{{16 \choose 4}}$[/tex] which simplifies to[tex]$\frac{63}{220}$[/tex] or approximately 28.6%. The probability of selecting 2 men and 2 women from a group of 9 women and 7 men is 11%.

The probability of selecting 2 men and 2 women from a group of 9 women and 7 men can be calculated by using the formula for combination, nCr. In this case, we would be selecting 4 people from 16 individuals, so n = 16 and r = 4. The formula is nCr = n!/(r!(n-r)!). This can be simplified to 16C4 = 16!/ (4!(12!)). The answer is 1820/21168, which can be simplified to 86/792, or approximately 11%. Therefore, the probability of selecting 2 men and 2 women from a group of 9 women and 7 men is 11%.

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Mario is cooking dinner for his family recipe he is using calls for 2 3/4 cups of chicken broth and he only has one 1 1/3 cups how much more chicken broth does Mario need for his recipe

Answers

Answer:

1 5/12 (One whole number five over twelve)

Step-by-step explanation:

Recipe calls for 2 3/4 cups

No of cups available are 1 1/3 cups

To get the number of cups needed to fulfill the recipe well say:

1 1/3 + X = 2 3/4

X = 2 3/4 - 1 1/3 = 1 5/12

What is the volume of the can of orange juice in cubic centimeters?

Answers

Salut/Hello!

Answer: 3120 cubic cm

Step-by-step explanation:
cm - centimeters
=> - results

We know the area is 156 square cm
And the height is 20 cm

We know the area formula is A = L x l
where L - length
and l - latitude

We also know the volume formula is V = L x l x h
where h - height

So we can replace the length and latitude with the area and we have
V = A x h     and we know the area and height

So we calculate:
V = 156 x 20 => V = 3120 cubic cm


I hope it was helpful! :]

How to solve 3 equations with 3 variables using elimination?

Answers

The elimination method is used to solve a system of equations with multiple variables. Repeat this process until all of the variables have been eliminated, then simplify the equations to solve for the remaining variable.

Once a variable has been isolated, it can then be eliminated from the other equations by either adding or subtracting the equations from each other. This process should be repeated until all of the variables have been eliminated from all of the equations.

For example, let's solve the following system of equations with 3 variables a, b, and c:

a + b + c = 8

2a + b + 2c = 12

3a + 2b + 3c = 18

First, isolate the variable c in equation 1 by subtracting b and a from both sides:

c = 8 - a - b

Substitute this expression for c in equation 2 and 3 to eliminate c:

2a + b + 2(8 - a - b) = 12

3a + 2b + 3(8 - a - b) = 18

Then simplify the equations to solve for the remaining variables:

2a + 3b = -4

9a + 6b = 36

Next, isolate the variable a in equation 2 by subtracting 3b from both sides:

a = -4/2 - 3b/2

Substitute this expression for a in equation 1 and 3 to eliminate a:

-4/2 - 3b/2 + b + 8 - b = 8

9(-4/2 - 3b/2) + 6b + 3(8 - b) = 36

Then simplify the equations to solve for the remaining variable:

15b = -12

b = -12/15

Finally, substitute b back into equation 1 or 2 to solve for a:

a + (-12/15) + 8 = 8

a = 8 - (-12/15) - 8

a = 24/15

Learn more about equation here

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Subtract 1/2 and 2/4 using fraction strips

Answers

Answer:

0

Step-by-step explanation:

1/2 = 2/4

1/2-2/4 = 0

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