The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is

Answer:

[tex]a.\ \dfrac{3}{5}[/tex]

Step-by-step explanation:

We can see the fractions [tex]\frac{5}{4}[/tex] and [tex]\frac{3}{4}[/tex] of cups.

It can be seen that denominator has 4 i.e. the fraction [tex]\frac{1}{4}[/tex].

Let us suppose, a unit is equal to [tex]\frac{1}4[/tex] of a cup.

Susan was supposed to use [tex]\frac{5}{4}[/tex] of a cup.

i.e. 5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

[tex]\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}[/tex]

a. [tex]\text{Fraction of butter used} = \dfrac{3}{5}[/tex]

Alternatively, we could have directly divided the given fractions:

[tex]\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}[/tex]

The fraction of the butter that she should have used did Susan actually use is :

Fractions =5/4 and 3/4 of cups.

Denominator = 4 i.e. the fraction 1/4

Let us suppose,

A unit is equal to 1/4 of a cup.

Susan was supposed to use 5/4 of a cup.

5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

Fraction of butter used=unit of butter used/unit of butter                        

                                                                 that was supposed to      

                                                                         be use

                                        =3/4/5/4

                                        =3/5

The fraction of the butter that she should have been used is 3/5.

Find out more information about "Fractions":

https://brainly.com/question/9047718referrer=searchResults

Answer:

Chair  x₁ = 10

Sofa   x₂ = 18

z(max)  = 2250 $

Step-by-step explanation:

Information:

Operation-Profit             Carpentry         Finishing      Upholstery     Profit

                                           hours                 hours              hours             $

Chair (x₁)                                3                        9                      2                90

Sofa  (x₂)                                 2                        4                     10               75

Objective Function z:

z =  90*x₁ + 75*x₂

Constrains:

1.-66 hours of carpentry available

3*x₁ + 2*x₂ ≤ 66

2.- 180  hours of finishing available

9*x₁  +  4*x₂ ≤  180

3.- 200 hours of upholstery

2*x₁  +  10*x₂  ≤ 200

Model:

z = 90*x₁ + 75*x₂    to maximize

Subject to:

3*x₁ + 2*x₂ ≤ 66

9*x₁  +  4*x₂ ≤  180

2*x₁  + 10*x₂  ≤ 200

x₁ >= 0  x₂ >= 0

From simplex method solver we get the answer

x₁ = 10         x₂  = 18       z = 2250

The linear programming model is:

Represent sofa with y and chairs with x.

The given parameters are:

Carpentry:

[tex]\mathbf{Chair =3\ hours}[/tex]

[tex]\mathbf{Sofa =2\ hours}[/tex]

[tex]\mathbf{Available = 66\ hours}[/tex]

So, we have:

[tex]\mathbf{3x + 2y \le 66}[/tex]

Finishing

[tex]\mathbf{Chair =9\ hours}[/tex]

[tex]\mathbf{Sofa =4\ hours}[/tex]

[tex]\mathbf{Available = 180\ hours}[/tex]

So, we have:

[tex]\mathbf{9x + 4y \le 180}[/tex]

Upholstery

[tex]\mathbf{Chair =2\ hours}[/tex]

[tex]\mathbf{Sofa =10\ hours}[/tex]

[tex]\mathbf{Available = 200\ hours}[/tex]

So, we have:

[tex]\mathbf{2x + 10y \le 200}[/tex]

The profit is given as: $90 per chair, and $75 per sofa.

So, the objective function is:

[tex]\mathbf{Z = 90x + 75y}[/tex]

Hence, the linear programming model is:

Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]

Subject to

[tex]\mathbf{3x + 2y \le 66}[/tex]

[tex]\mathbf{9x + 4y \le 180}[/tex]

[tex]\mathbf{2x + 10y \le 200}[/tex]

[tex]\mathbf{x,y \ge 0}[/tex]

Read more about linear programming model at:

https://brainly.com/question/13720072

Answer: 18 brainiest plz

Step-by-step explanation:

First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18  

Then 9,18 so 18 days

Answer:

18

Step-by-step explanation:

Answer:

m∠6 = 54°

Step-by-step explanation:

∠6 is equal to (5x + 9) because they are vertical angles. But, to be able to find the measure of ∠6, you will need to find the value of (5x + 9). So, since ∠5 is equal to (13x + 9) because they are Corresponding Angles, (5x + 9) and (13x + 9) are supplementary because they are a linear pair.

So:

m∠6 = 5x + 9 and

5x + 9 + 13x + 9 = 180°

18x + 18 = 180

18x = 162

x = 9

To find m∠6, plug in values:

m∠6 = 5x + 9

         = 5(9) + 9

         = 45 + 9

         = 54°

Answer:

The length is four less than three times the width.

x = 5 cm.

The width of rectangle is 5 cm.

Thus the length of rectangle 3x - 4 = 3 × 5 - 4 = 15 - 4 = 11 cm

Step-by-step explanation:

HOPE IT HELPS

Answer: The answer is 63

Step-by-step explanation:

I’m sorry I don’t know how to explain but I got it right

Answer:

63

Step-by-step explanation:

Answer:

0.753

Step-by-step explanation:

do 753/1000 and do the long division

[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

This question is Incomplete

Complete Question

What sample size is needed to give a margin of error within ± 13 in estimating a population mean with 99% confidence, assuming a previous sample had s=116

Answer:

The sample size n = 530 samples

Step-by-step explanation:

Margin of Error formula = z × standard deviation/√n

Margin of Error = ± 13

Standard deviation = 116

z = z score of 99% = 2.58

±13 = 2.58 × 116/√n

Cross Multiply

±13 × √n = 2.58× 116

±13 × √n = 299.28

√n = 299.28/±13

√n = ± 23.0215384615

Square both sides

(√n)² = (±23.0215384615)²

n = 529.991233134

Approximately , n = 530 samples

Answer:

I think 2n-8 because you are taking 8 away from 2 times a number

Step-by-step explanation:

Step-by-step explanation:

[tex]\frac{8}{5}[/tex]÷6[tex]\frac{3}{4}[/tex]

First, simplify the 6[tex]\frac{3}{4}[/tex] to an improper fraction, which is:

[tex]\frac{27}{4}[/tex]

Next rewrite the equation using the improper fraction:

[tex]\frac{8}{5}[/tex]÷[tex]\frac{27}{4}[/tex]

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.

[tex]\frac{8}{5}[/tex]·[tex]\frac{4}{27}[/tex]

Finally, multiply together and simplify/reduce if needed:

The final answer is [tex]\frac{32}{135}[/tex] and no simplification or reduction is needed

Answer:

160 years

Step-by-step explanation:

The formula for the heart rate is given by :

M=0.8 (220−A) ...(1)

M is the maximum heart rate in beats per minute and A is the age in years

Put M = 128 beats per minute in the above formula.

128=0.8(220-A)

160=220-A

A=220-160

A = 160 years

So, the age of person is 160 years if heart rate is 128 beats per munute

Answer:

B

Step-by-step explanation:

Plz give brainliest

Answer:

pet for sale

Step-by-step explanation:

soory pls mark me brainbelela

Answer:  3×22+c≤85

Step-by-step explanation: i think the answer is 3×22+c≤85 because 3x 22 represent the total cost of azaleas + c the cost of salvia is less than or equal to 85 because the buget is 85 and it cannot be greater

Hope this helped

The inequality for the given situation is 66+c ≤ 85.

Given that, Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and 3 azaleas. The azaleas cost $22 each.

In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Let c be the cost for a salvia.

Three azaleas + A salvia ≤ 85

3×22+c ≤ 85

⇒ 66+c ≤ 85

Therefore, the inequality for the given situation is 66+c ≤ 85.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ5

Answer:

The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

Step-by-step explanation:

Let X represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.

It is provided that X follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.

Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.

That is,

P (X) = 0.0122

Texas Instruments has sold 75 million graphing calculators world- wide.

Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:

E (X) = n × P (X)

        = 75 × 10⁶ × 0.0122

        = 915000

Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

Answer:

5.5 7

Step-by-step explanation:

Answer:

    Step-by-step explanation:

D

Answer:

poop i forgot my ramen noodles are in the microwave

Step-by-step explanation:

Answer:

Sometimes

Step-by-step explanation:

Answer:

y =(x+3) ^2

Step-by-step explanation:

The zero is -3 and it  is the vertex  (-3,0)

Using the vertex form of a parabola  where  ( h,k) is the vertex

y = a( x-h)^2 +k

y =a(x- -3) ^2+0

y =a(x+3) ^2

We also know another point is ( -1,4)

Substituting that point into the equation

4 = a( -1+3) ^2

4 = a( 2)^2

4 = a*4

Divide each side by 4

1 =a

The equation is

y =(x+3) ^2

Answer:

1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).

2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).

Step-by-step explanation:

In a statistical analysis, the statistician shares his participants into several groups and administers treatments to them. After administering the treatment, he might want to compare the values obtained to see if there is a difference. If he accepts the null hypothesis as true, that means that there was no difference between the population means. This can also be taken to mean that the result had no difference among the groups.

But if the alternative hypothesis was true, that means that the population means were not all equal and so, there was an effect from the treatment administered.  

Answer:

1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).

2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).

Answer:

2a⁷

Step-by-step explanation:

you have to add 3 to 4