What is the value of X

Answer:

A. d/2 = r

B. r=65 miles/hour

Step-by-step explanation:

A. d/2 = 2r/2

B. Using the formula you found for R it is

130/2= r, therefore r = 65

The formula for r is:

r = d/2.

The rate r when the distance traveled is 130 miles is:

= 64 miles per hour.

Given,

The formula d = 2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.

We need to:

- Solve the formula for r.

- Find the rate(r) when the distance traveled is 130 miles.

Speed = distance / time

We can find the distance as:

distance = speed x time

We have,

d = 2r where d = distance and r = rate.

Here 2 = 2 hours

The formula for r :

d = 2r

Divide both sides by 2.

d/2 = r

r = d/2

r = distance / 2 hours

The rate at a distance of 130 miles is:

d = 130 miles

r = d / 2

r = 130 / 2 = 65 miles / hour

Thus,

The formula for r is d/2.

The rate r when the distance traveled is 130 miles is 64 miles per hour.

Learn more about how to find speed here:

https://brainly.com/question/16905437

#SPJ2

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

[tex]H(x,y) = (8,6)[/tex]

San Antonio

[tex]T(x,y) = (-6,-7)[/tex]

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

[tex]S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)][/tex] (1)

[tex]S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)[/tex]

[tex]S(x,y) = (4.5,2.75)[/tex]

Andra

[tex]A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)][/tex] (2)

[tex]A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)[/tex]

[tex]A(x,y) =(1, -0.5)[/tex]

Emily

[tex]E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)][/tex] (3)

[tex]E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)[/tex]

[tex]E(x,y) = (-2.5, -3.75)[/tex]

a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?

Emily's beginning point is the Andra's stop point, that is, [tex]A(x,y) =(1, -0.5)[/tex].

Emily should begin her turn as the third driver at point (1, -0.5).

b. At what point does Emily's turn to drive end?

Emily's turn to drive end at point (-2.5, -3.75).

Answer:

- 81.04°F

Step-by-step explanation:

Given the question :

Convert - 62.8°C into F°

Using the conversion formula :

Fº = 1.8 x Cº + 32º

C = - 62.8°

Fº = (1.8 x - 62.8)+ 32º

F° = - 113.04° + 32°

= - 81.04°F

298ºK is the answer

Cº = 77º - 32º / 1.8 = 25º Kº = 25º + 273 Kº = 298º

Answer:

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.

Step-by-step explanation:

Answer: The simplest method is to use a calculator.

Just divide the top of the fraction by the bottom, and read off the answer. Hope this helps! If not, I’ll come up with another explanation! :)

Answer: x= 15

Steps shown in image below

Answer:

x=15

Step-by-step explanation:

they are supplementary so they add up to 180.

7x-9+5x+9=180

simplify

12x=180

divide by 12

x=15

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

[tex]x+114=180[/tex]

Subtract 114 from both sides to isolate x:

[tex]x+114-114=180-114\\\\x=66[/tex]

The value of x is 66°.

:Done

Answer:

C.  x=2.5, DC=7.5, EC=15

Step-by-step explanation:

since the triangles have congruent angles, the sides have a relationship too. Basically, the ratio between the triangle is 4:10 because those sides math up. So, that also means it is 2:5. Therefore, BC:EC=6:15. 15-12.5=2.5, so x=2.5.

Now you can just do 2.5+5=7.5 so DC=7.5

Answer:

exact form:34/35

Step-by-step explanation: combine the fractions by finding the common denominator i guess

Answer:

The answer is "yes, it uses the  Law of Detachment as an argument".

Step-by-step explanation:

It is also the method of getting it all in the world in which we give up. It will not imply whether they give up our desire. They may not leave the desire so, we do never give up.

Answer:

The first one is x=45

The second one is w=14

The third one is x=6

Step-by-step explanation:

Answer:

Line ____        Ear

Answer:

10

Step-by-step explanation:

(5x + 15)° + (6x + 8)° + (4x + 7)° = 180°

15x + 30 = 180 ⇒ x = 10

Answer:

You should mix

2.5 gallons of the first juice with

2.5 gallons of the second juice

Step-by-step explanation:

Step one

Let the first kind of juice be x

Let the second be y

Given x contain 10% juice

and y contains 40% juice

So for the percentage constituent concentration of each the expression is

0.1x+ 0.4y=0.25(5)

0.1x+0.4y=1.25—----------------1

Step two

Also for the volume of the mixture, we are working with 5 gallons hence the expression

x+y=5-------------------------------2

The system of equation for the situation is

0.1x+0.4y=1.25------1

x+y=5-------------------2

From equation 2

x=5-y

Put x=5-y in the equation

0.1(5-y) +0.4y=1.25------1

0.5-0.1y+0.4y=1.25

0.3y=1.25-0.5

0.3y=0.75

Dividing both sides by 0. 3

y=0.75/0.3

y=2.5

x=5-y

x=5-2.5

x=2.5

The mixture should consist of

2.5 gallons of the first juice with

2.5 gallons of the second juice

Answer:

2 apples = .24 kilograms

12 apples = 1.44 kilograms

Step-by-step explanation:

If 5 apples all weigh The same amount. Let x represent one apples weight

5x = 0.60

divide by 5

one apple weighs .12 kilograms

then multiply by the number of apples. So 2 apples is .24

and 12 apples is 1.44

Answer:

27.5 units^2

Step-by-step explanation:

Total area = Area of triangle ILH + Area of parallelogram JKLI

Area of triangle ILH

= 1/2 * b * h

= 1/2 * 5 * 5

= 12.5 units^2

Area of parallelogram JKLI

= bh

= 3 * 5

= 15 units^2

Total area

= Area of triangle ILH + Area of parallelogram JKLI

= 12.5 + 15

= 27.5 units^2

Answer:

C. It is a whole number that is neither prime nor composite.

Step-by-step explanation:

A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.

However, a composite number must have more than two factors, which 1 doesn't have either.

Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.

Have a nice day!

Answer:

C!

Step-by-step explanation:

hope it helped

Answer:

AB≅AC  (two legs of isosceles triangles are always equal)

6x-14 = 4x+20

2x-14 = 20

2x = 34

x = 17

Base ⇒ 7x-12

           = 7(17)-12

           = 119-12

           = 107

Answer:

x=17, 107

Step-by-step explanation:

Since it is given that the triangle is isosceles, we can make the following equation:

6x-14=4x+20

x=17

To find the base (7x-12), all you have to do is plug in the value of x

7x-12

7*12-12

107

I hope this helps :)

Answer:

The angles

Step-by-step explanation:

On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.

Hope this helps you

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

Answer:

68

Step-by-step explanation:

the brackets make the 3 positive

Answer:

123.03

Step-by-step explanation:

96.53+17.5+9=

Answer:

(-4,1)

Step-by-step explanation:

The solution of these two linear equations in where the two lines meet. This means that when plugged into equation the x ( in this case -4) would allow you to get y = 2 (which is the y). Hope this helped you as I know the answer and if you want refinement.

Answer:

Step-by-step explanation:

the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.

Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :

Selection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.

Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.

Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.

Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.

Learn more :https://brainly.com/question/18405415

A is the correct answer