A recipe that makes 8 cups of limeade uses 2 cups of lime juice.

Describe the related ratio 2:8 using ratio language. Does the ratio involve only parts, or does it involve a part and the whole?

Answer:

Callie: 2.95+2.95+2.25=$8.15

Payton: 5.25+6.75=$12

Roger: 10-4.84=$5.16

The additional information required to prove  that ΔXYZ and ΔFEG are congruent is  ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.

Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.

When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.

∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned

XZ ≅ FG  and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles

XY ≅ EF and ZY ≅ FG, is not possible.

∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.

So, the correct answer is option 1 and option 5.

For more information regarding Congruency of triangle, kindly refer

https://brainly.com/question/30094434

#SPJ4

The complete question is as follows and image is given below

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and ∠Y ≅ ∠E

XZ ≅ FG and ZY ≅ GE

XY ≅ EF and ZY ≅ FG

∠Z ≅ ∠G and XY ≅ FE

Answer:

1 and 5 are correct

Step-by-step explanation:

Answer:

it's A (I'm sure)

Step-by-step explanation:

........

Answer:

option A is correct 2:10=14:10

Answer:

see explanation

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

  = 3x(x + 4) ← distribute parenthesis by 3x

A = 3x² + 12x

when x = 1 , then

A = 3(1)² + 12(1) = 3 + 12 = 15 yd²

Step-by-step explanation:

7 dollars + .0825 tax = 7 .58

  leaving $1.92 max tip ( out of 9.50 to spend)

                           ( this is a 27% tip on your purchase....more than adequate)

Step-by-step explanation:

your answers are right in my pov

Using the product rule, we can find the first derivative of g(x) as follows:

g(x) = x sin(x)

g'(x) = x cos(x) + sin(x)

To find the second derivative, we can apply the product rule again:

g'(x) = x cos(x) + sin(x)

g''(x) = (x(-sin(x)) + cos(x)) + cos(x)

      = -x sin(x) + 2cos(x)

Therefore, g'(x) = x cos(x) + sin(x) and g''(x) = -x sin(x) + 2cos(x).

To know more about derivatives refer here

https://brainly.com/question/27986273

SPJ11

Given:

AD = 7x - 5

CB = 5x - 2

We are asked to find x.

recall, in polygon, diagonal are equal.

Since AD and CB are diagonals, therefore they are equal.

So,

AD = CB

7x - 5 = 5x - 2

let's collect like terms:

7x - 5x = 5 - 2

carry out both the addition and subtraction operations:

2x = 3

Divide both sides by 2

2x/2 = 3/2

x = 3/2

Therefore, the correct option is D, which is 3/2.

The value of 3⋅C⋅(2A×B) is 126.00. This is obtained by calculating the cross product of A and B, then taking the dot product with C and multiplying by 3.



To find the value of the expression 3⋅C⋅(2A×B), we need to calculate the cross product of vectors A and B, and then perform the dot product with vector C. Let's break it down step by step.

Vector A = 3.00i^ + 3.00j^ - 3.00k^

Vector B = -3.00i^ + 3.00j^ + 4.00k^

Vector C = 7.00i^ - 7.00j^

Step 1: Calculate the cross product of A and B.

A × B = (3.00i^ + 3.00j^ - 3.00k^) × (-3.00i^ + 3.00j^ + 4.00k^)

The cross product of two vectors can be calculated using the following formula:

A × B = (AyBz - AzBy)i^ + (AzBx - AxBz)j^ + (AxBy - AyBx)k^

Using the given vectors A and B:

A × B = (3.00 * 4.00)i^ + (-3.00 * -3.00)j^ + (3.00 * -3.00 - 3.00 * 3.00)k^

     = 12.00i^ + 9.00j^ - 18.00k^

So, A × B = 12.00i^ + 9.00j^ - 18.00k^

Step 2: Perform the dot product of C and (2A×B).

C ⋅ (2A×B) = (7.00i^ - 7.00j^) ⋅ (2(12.00i^ + 9.00j^ - 18.00k^))

The dot product of two vectors can be calculated by multiplying corresponding components and summing them up:

C ⋅ (2A×B) = 7.00 * 2 * 12.00 + (-7.00) * 2 * 9.00 + 0

          = 168.00 - 126.00 + 0

          = 42.00

Therefore, 3⋅C⋅(2A×B) = 3 * 42.00 = 126.00.

The value of 3⋅C⋅(2A×B) is 126.00.

To learn more about vectors click here brainly.com/question/30958460

#SPJ11

Answer:

1st angle = 30

2nd angle = 60

3rd angle = 90

Step-by-step explanation:

The absolute maximum is 8 at x = 3 and the absolute minimum is 3 at x = -2 for the function h(x) = x+5 on the interval -2 ≤ x ≤ 3.

The correct option is, the absolute maximum is 8 at x = 3;

The absolute minimum is 3 at x = -2.

To find the absolute extreme values of the function h(x) = x+5 on the interval -2 ≤ x ≤ 3,

We have to find the highest and lowest points of the graph on that interval.

Find the critical points of the function by setting h'(x) = 0,

h'(x) = 1

Since h'(x) is a constant, there are no critical points.

Therefore, we only have to check the endpoints of the interval.

When x = -2,

h(x) = -2+5 = 3

When x = 3,

h(x) = 3+5 = 8

Therefore,

The absolute minimum of h(x) on the interval is 3, which occurs at x = -2. The absolute maximum of h(x) on the interval is 8, which occurs at x = 3.

Hence, the function h(x) = x+5 has an absolute minimum of 3 at x = -2 and an absolute maximum of 8 at x = 3 on the interval -2 ≤ x ≤ 3.

To learn more about the function visit:

https://brainly.com/question/8892191

#SPJ4

Answer:

B. y=0.07x

Step-by-step explanation:

Hope this helps! Have a good day:)

Answer:

75.6 miles

Step-by-step explanation:

Multiply 4.2 by 18

Answer:

The first term 133c represents $133c for each credit hour taken and

the second term 150 represents the registration fee

Step-by-step explanation:

The variable c stands for the credits and 150 stands for the additional amount paid to enroll in credit which is why the equation is set up as

133c+150

Ps: The term is when addition or subtraction signs separate an algebraic expression into parts, each separated part is called a term. 133c and 150 are the only terms in this expression.

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

According to given information,

a.) Initial cost of renting car (y - intercept (b)) = the total cost when the distance travelled = 0

that is :

b.) rate of change = slope

c.) Let's

and according to above data :

so, the required equation is :

put this equation in blank - 3 ~

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question :

Jane evaluates x squared minus 3 x + 5 for x = negative 2 below. Step 1: (negative 2) squared minus 3 (negative 2) + 5 Step 2: Equals negative 4 + 6 + 5 Step 3: Equals 7 What, if any, was Jane's mistake?

Jane's evaluation :

x² - 3x + 5 for x = - 2

Step 1:

(-2)² - 3(-2) + 5

Step 2:

-4 + 6 + 5

Step 3 :

= 7

Jane's mistake was in STEP2,

evaluating (-2)² = 4 and not - 4

Hence, (-2)² - 3(-2) + 5

= 4 + 6 + 5

= 15

Answer:So solving for

y

gives:

−

2

x

+

2

x

−

4

y

=

2

x

+

16

0

−

4

y

=

2

x

+

16

−

4

y

=

2

x

+

16

−

4

y

−

4

=

2

x

+

16

−

4

−

4

y

−

4

=

2

x

−

4

+

16

−

4

y

=

−

1

2

x

−

4

Answer: x=56°

Step-by-step explanation:

The sum of the angles of the triangle is 180°

Hence,

\(\displaystyle\\(x+5^2)+(\frac{3}{4}x+1^2)+x =180\\x+25+\frac{3}{4}x+1+x=180\\ 2\frac{3}{4}x+26=180\\\\ \frac{8+3}{4} x+26-26=180-26\\\\\frac{11x}{4} =154\)

Multiply both parts of the equation by 4:

\(11x=11(14)(4)\)

Divide both parts of the equation by 11:

\(x=14(4)\\\\x=56^0\)

Since the ratio of the black to red is 3: 5

Then the total of the ratio is 3 + 5 = 8

Since there are 16 pieces left

By using the ratio method

black: red: total

3. : 5 : 8

x. : y : 16

By using cross multiplication

x x 8 = 3 x 16

8x = 48

Divide both sides by 8 to find x

x = 6

Since x represents the black left

The answer is 6 black left

Answer:

-2/4 can be written as -6/12

in negetive integers:: if the numerical vallues goes on increasing then the numbers are in decreasing order

so, -6/12 > -7/12

but 6/12 < 7/12

hope you understood

brainliest plz

Answer:

Step-by-step explanation:

To compare both fractions should have same denominator.

LCM of 4 and 12  is 12

\(\dfrac{-2}{4}=\dfrac{-2*3}{4*12}=\dfrac{-6}{12}\)

\(\dfrac{-6}{12} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\dfrac{-2}{4} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\)

Answer: D

Step-by-step explanation:

formula=V=(π)r2h

The probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years is 0.194.

a)  The total number of companies surveyed is 432.

According to the report, 51% of the companies outsourced some part of their manufacturing process in the past two to three years.

Therefore, the expected value (μ) = 0.51 * 432 = 220.32,

and the standard deviation (σ) = √[432 * 0.51 * (1 - 0.51)]

= 10.27

Using the z-score formula, we get

z = (338 - 220.32)/10.27 = 11.43

Using the z-table,

we find the probability associated with the z-score to be P(z > 11.43)

= 0.000

This implies that the probability that 338 or more companies outsourced some part of their manufacturing process in the past two to three years is 0.000

b) Using the z-score formula, we get

z = (285 - 220.32)/10.27

= 6.29

Using the z-table, we find the probability associated with the z-score to be P(z > 6.29) = 0.000

This implies that the probability that 285 or more companies outsourced some part of their manufacturing process in the past two to three years is 0.000

c) Using the formula for the sample proportion,

we get:

p = 0.51,

q = 1 - p = 0.49,

n = 432

The mean of the sampling distribution of sample proportions (μp) = p = 0.51

The standard deviation of the sampling distribution of sample proportions

(σp) = √[pq/n]

= √[(0.51 * 0.49)/432]

= 0.029

Using the z-score formula, we get

z = (0.48 - 0.51)/0.029

= -0.862

Using the z-table,

we find the probability associated with the z-score to be P(z < -0.862) = 0.194

This implies that the probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years is 0.194.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

a.) Find how many natural numbers under 100 are not divisible by either 2, 3, 5, or 7.

There are 21 natural numbers under 100 that are not divisible by either 2, 3, 5, or 7. Below are those 21 natural numbers:

11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

b.) Use this result to determine how many prime numbers less than 100 there are.

Since 2, 3, 5, and 7 are all prime numbers that we didn't include in our answer above, there are actually 25 prime numbers under 100.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The approximate percentage of bulb replacement requests between 57 and 73 is 95%.

The empirical rule, also known as the 68-95-99.7 rule, is used to determine the percentage of observations that lie within a specified number of standard deviations of the means in a normal distribution. The rule states that approximately:

68% of the observations are within one standard deviation of the means

95% of the observations are within two standard deviations of the mean

99.7% of the observations are within three standard deviations of the mean

The given problem states that the distribution of the number of daily requests for fluorescent light bulbs at a university is bell-shaped and has a mean of 57 and a standard deviation of 8. Therefore, to find the approximate percentage of light bulb replacement requests between 57 and 73, we need to find the number of standard deviations of the means that are 73 and 57.

\(z-score = (x - \mu) / \sigma\)

Where

For x = 73,

\(z-score = (73 - 57) / 8\\z-score = 2\)

For x = 57,

\(z-score = (57 - 57) / 8\\z-score = 0\)

Therefore, observations 57 and 73 are separated by two standard deviations.

Using the empirical rule, we can say that approximately 95% of the observations lie within two standard deviations of the mean. Therefore, approximately 95% of the daily requests for replacement of fluorescent bulbs in the university are between 57 and 73.

Thus, the approximate percentage of bulb replacement requests between 57 and 73 is 95%.

See more information about normal distribution in: https://brainly.com/question/4079902

#SPJ11

We need to simplify the expression below:

In order to do that we will have to use the properties for the power. This is done below:

The answer is 5^8.

Answer:

x = 4

Step-by-step explanation:

This is an equation but solving inequalities is very similar to solving equations.

\( - 2x + 3 = - 5\)

Subtract 3 from both sides.

\( - 2x = - 8\)

Divide by - 2 from both sides.

\(x = 4\)

(I originally typed the equation as - 2x + 3 = 5, my bad.)

Answer:

x=4

Step-by-step explanation:

m

a

t

h

w

a

y

Answer:

-7α + 28 = 7

-7α + 28 - 28 = 7 - 28

-7α = -21

α = -21/-7

α = 3

Answer:

61.6

Step-by-step explanation:

multiply 44 by .40 and then add the answer (17.6) to 44