A budweiser delivery truck in west texas has driven 1,386 miles in 4 days. he leaves the distributor and stops at 24 stores during this period. between stops the driver averages ___ miles. do not count the driving back to the distributor.

Answers

Answer 1

Using proportions, it is found that between stops the driver averages 57.75 miles.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In 1,386 miles, the driver had 24 stops, hence the number of miles per stop is found as follows:

1386/24 = 57.75 miles.

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Related Questions

35.149 = 30+5+0.1+ ____ +0.009
how to find the missing sum

Answers

Answer:

0.04

Step-by-step explanation:

30+5+0.1+0.009 is 35.109

35.149 - 35.109= 0.04

35.149 = 30+5+0.1+ ____ +0.009

= 30 + 5 + 0.1 + x + 0.009

= 35.109 + x

x is the unknown value, so what number add to the 35.109 gives 35.149? That's what we're after.

35.149 = 35.109 + x

- 35.109 both side

0.04 = 0 + x

Thus, x = 0.04

(35.109 - 35.109 cancles each other & we get x on its own because 0.04 - 0 gives you 0.04)

Hope this helps!

How many $4$-digit positive integers exist that satisfy the following conditions: (A) Each of the first two digits must be $1$, $4$, or $5$, and (B) the last two digits cannot be the same digit, and (C) each of the last two digits must be $5$, $7$, or $8$

Answers

Answer:

54 possibles

Step-by-step explanation:

Digit ONE    3 choices

Digit two      3 choices

digit three    3 choices

digit  four      2 choices    

        3  x  3   x  3  x  2   = 54 choices meet all of the conditions

3x − 12y = −21,
−x + 4y = 7

find x and y intercept

Answers

The x-intercept is (-7,0).
The y-intercept is (0, 1.75)

Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3

Answers

Equations b,c, and e accurately represent this statement.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The three equation accurately represents this statement is;

4.9 x-(-3) = 12.8

3+ 4.9 x = 12.8

12.8 = 4.9 x +3

Hence, equations b,c, and e accurately represent this statement.

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A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?

Answers

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258)  =  22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

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Name the ordered pair that would be a reflection of (9, 2) over the y axis

Answers

Answer:

(- 9, 2 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(9, 2 ) → (- 9, 2 )

a ramp is 17 feet long, rises 8 feet above, and a covers a horizontal distance of 15 feet as showed in the figure. the ratio of to is equal to tan B

Answers

Using relations in a right triangle, it is found that:

The ratio of 8 to 15 is equals to tan B.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching the problem on the internet, we have that:

The side opposite to angle B has a length of 8 feet.The side adjacent to angle B has a length of 15 feet.

Hence the tangent of B is:

tan(B) = 8/15.

Which means that:

The ratio of 8 to 15 is equals to tan B.

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help me i im not good in math

Answers

Number of shirts = dependent variable

Cost of the purchases = independent variable

The number of shirts is depending

5. A boy gets 29 marks out of 50 in his maths ex-
am. What percentage did he score?

Answers

Answer:

58%

Step-by-step explanation:

29 / 50  * 100% = 58 %    ( rather pathetic score, huh?)

Answer:

58%

Step-by-step explanation:

the boy gets 29 marks out of 50

Then

He gets 29 × 2 marks out of 50 × 2

Then

He gets 58 marks out of 100

Therefore

He scored 58%

Find the value of x:
X
4
10

Answers

Applying the definition of similar triangles, the value of x is determined as: 12.5.

What are Similar Triangles?

In a triangle like the one shown above, the line that intersects the two sides of the triangle divides the two sides of the triangle to form similar triangles. Thus, their corresponding sides are proportional to each other.

Therefore, we would have:

(x + 5) / 5 = (10 + 4) / 4

(x + 5) / 5 = 14/4

4(x + 5) = 5(14)

4x + 20 = 70

4x = 70 - 20

4x = 50

x = 50/4

x = 12.5

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Write an equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1). HELP!!!!!

Answers

The equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1) is y = x + 8

Equation of a line

The equation of a line in slope intercept form is expressed as;

y = mx + b

The equation of the perpendicular bisector will be given as y = -1/m x+ b

where

m is the slope

b is the y-intercept

Determine the slope

Slope = -1-5/9-3

Slope = -6/6

Slope = -1

For the y-intercept

-1 = -1(9) + b

-1 = -9 + b

b = 8

Determine the equation

y = -1/m x + b

y = -1/(-1) x + 8

y = x + 8

Hence the equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1) is y = x + 8

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In Angle FGH, the measures of angles F, G, and
H, respectively, are in the ratio 4:4:10. Find
the measure of each angle.

Answers

Answer:

40   40   100°

Step-by-step explanation:

Is that TRIANGLE FGH?

    the angles add to 180

        180 / ( 4 + 4 + 10 ) = 10

then each angle is       4 x10       4 x 10     and  10 x10

What are the two binomial factors for x2 – 25? (x – 5)(x – 5) (x 5)(x 5) (x – 20)(x 5) (x – 5)(x 5)

Answers

Answer:

(x - 5)(x + 5)

Step-by-step explanation:

x² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 25

= x² - 5²

= (x - 5)(x + 5)

Answer:

Step-by-step explanation:

(x-5) +(x+5)

triangle abc is equal to
triangle pqr, angle p=8X+4,
angle a=5x+16 , and angle
q=10x+2. find angle r
a. 36
b.not enough info
c. 42
d 102

Answers

Answer:

  d.  102°

Step-by-step explanation:

We can use the relations ...

corresponding angles in congruent triangles are congruentthe sum of angles in a triangle is 180°

to write equations that let us find x and all of the angles in ∆PQR.

Corresponding angles

The congruence relation ∆ABC ≅ ∆PQR tells us that ∠P = ∠A. Using the given expressions for these angles, we have ...

  ∠P = ∠A

  8x +4 = 5x +16

  3x = 12 . . . . . . . . . subtract (5x+4)

  x = 4 . . . . . . . . . divide by 3

Then the measure of angle P is ...

  ∠P = 8x +4 = 8(4) +4 = 36 . . . . . degrees

Other angles

Angle Q in ∆PQR is given as ...

  ∠Q = 10x +2 = 10(4) +2 = 42 . . . . . degrees

Then the measure of angle R needed to make the total of angles in ∆PQR be 180° is ...

  ∠R = 180° -36° -42° = 102°

Angle R is 102°.

__

In summary:

x = 4∠P = ∠A = 36°∠Q = ∠B = 42°∠R = ∠C = 102°

Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water.
represents the volume of water Andrei uses (in liters) if he uses marbles.
What is the glass tank's volume?

______________liters

Answers

Answer: the amount of liters that would fill the glass tank's volume can not be found

Step-by-step explanation:

there is not enough information to find out how many liters could fill the glass tanks volume

The required volume of glass tank = Vb +Vw liters

What is volume?

Volume, is defined as the ratio of the mass of object to its density.

Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water.

Volume of pebbles = Vb
Volume of water = Vw
Volume of glass tank = Vg
Vg = Vb + Vw

Thus, the required volume of glass tank is = Vb + Vw liters

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3. Segment RU is an angle bisector. m/QRU = 70°.
What is mzQRS?
Q
70°
□A 70°
B 140°
C 35°
OD 20°
A
U
S
PLS HELP ME OUT

Answers

Answer:

b - 140

Step-by-step explanation:

an angle bisector divides an angle in half

so

half of the angle is 70

the other half is 70

so

70 + 70 = 140

b is your answer

Answer: B. 140°

Step-by-step explanation:

Hi!

An angle bisector just cuts the angle in half.

Therefore, if one half is 70°, the other half is also 70°!

To find the measure of the angle just add them!

70° + 70° = ?

= 140°

So, your answer is B. 140°

Hope this helps and have a great day!

Match the systems of equations with their solution sets.

Answers

The Solution set 1 , 2 , 3, 4 matches with equations 4 , 1 , 2 , 3

What are System of Equations ?

The system of equations are the set of equations that have common solution.

The set of equations given are

y+5 = x² - 3x

2x +y = 1

On subtracting equation 1 from 2

5 - 2x = x² -3x -1

x² -x -6 = 0

(x-3)(x +2) = 0

x = 3 , -2

At x = 3 , -2; y = -5 , 5

The set of equation are

y -17 = x²-9x

-x +y =1

-17 +x = x² -9x -1

x²-10x +16 = 0

x² - 8x -2x +16 = 0

(x -8) (x-2) = 0

at x = 2 ,8 ; y = 3 ,9

The set of equation is

y +12 = x²+x

x +y =3

12 - x = x²+x -3

x²+2x -15=0

x² +5x -3x -15 = 0

x(x+5) -3(x+5) = 0

(x-3)(x+5) = 0

x = 3 ,-5

At x = 3 , -5 , y = 0,8

The set of equation is

y-15 = -x² +4x

x +y = 1

-15 -x = -x²+4x -1

x²-5x -14 = 0

x² -7x +2x -14 = 0

x(x-7) +2(x-7) = 0

(x +2) (x-7) = 0

x = -2 , 7

at x = -2 , 7 ; y = 3 ,-6

Therefore the Solution set 1 , 2 , 3, 4 matches with equations 4 , 1 , 2 , 3

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Which is the slope-intercept equation of the line (-2,2) and (0,-4)?

Answers

Answer:

y=3x-4

Step-by-step explanation:

Sulin has some $2 and $5 notes. The value of the notes add up to $58. There are 15 more $2 notes than $5 notes. How many $2 notes does Sulin have?

Answers

Answer:

t is number of 2 dollars

f is number of 5 dollars

2t+5f=58

f+15=t

2(f+15)+5f=58

simplify

2f+30+5f=58

simplify

7f+30=58

subtract

7f=28

f=4

substitute

4+15=t

4 five dollars

19 2 dollars

Hope This Helps!!!

A student wants to sell 18 cookies for a fundraiser. She knows that she only has 3 days left to sell her cookies. Write an equation to find out how many cookies she must sell each day to reach her goal.

Answers

6
Explanation: 18 divided by 3 is 6

Answer:

6 cookies per day.

Step-by-step explanation:

if she is going to sell 18 cookies within 3 days, would divide that problem, (18 divided by 3) which will get you selling 6 cookies per day during that 3-day challenge.

Calculate the ninth term of the sequence:
3, 8, 13, 18, 23, 28, 33, 38, ...

Answers

Answer:

43

Step-by-step explanation:

sequence: +5

∴ninth term of sequence = 38+5

                                          = 43

write an exponential function that includes the following given pair of points.

(-3,16) and (-2,8)

Answers

y=mx+b
M=-8
8=-2(-8) +b
8=16+b
B=-8

Given: BC bisects ZABD
mZABD = 52°
Prove: mABC = 26°
A
D
B
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Statements Reasons
mZABD = 52
mZABC+ m ZABC = 52
Statements
mZABC=mZCBD
m/ABC+mZC=52
Reasons
BC bisects ZABD
mZABC+mZCBD =
m ZABD

Answers

A bisector is a line that divides a given line or angle into two equal parts or measures. So that the required statements and reasons are given below:

              STATEMENT                                                 REASONS

1. BC bisects <ABD                                 Given

2. m<ABC = [tex]26^{o}[/tex]                                       Bisection property of an angle

3. 2(m<ABC) = [tex]52^{o}[/tex]                                   Sum of angles of a bisected angle

4. m<ABC = m<CBD                                Congruent parts of a bisected angle

5. <mABC + m<ABC =  [tex]52^{o}[/tex]     Sum of an individual angle of a bisected angle

6.  m<ABC + m<CBD = [tex]52^{o}[/tex]                      Sum of angles of a bisected angle

7. m<ABC + m<CBD = m<ABD          Sum of the angles of a bisected angle

The above statements and reasons are majorly centered on a bisector, the angles formed due to the bisection of a given angle, and the bisected angle.

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Answer:

1. BC bisects <ABD | Given

2.m<ABD=52 | Given

3.m<ABC = m<CBD | Definition of Bisector

4.m<ABC + m<CBD = m<ABD | Angle Addition Postulate

5.m<ABC + m<CBD =52 | Substitution Property

6.m<ABC + m<ABC =52 | Substitution Propery

7.2(m<ABC)=52 | Addition

8.m<ABC=26 | Division Property

Step-by-step explanation:

Edge 2022

6. (04.05 MC)
Which Inequality matches the graph? (1 point)

-2x+3y>7
2x+3y <7
-3x+2y>7
3x-2y <7

Answers

Answer:  Choice D

3x - 2y < 7

=============================================================

Explanation:

The dashed boundary line goes through (1, -2) and (3, 1)

Find the slope of this line using the slope formula.

[tex](x_1,y_1) = (1,-2) \text{ and } (x_2,y_2) = (3,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-2)}{3 - 1}\\\\m = \frac{1 + 2}{3 - 1}\\\\m = \frac{3}{2}\\\\[/tex]

The slope is 3/2 indicating we go up 3 and to the right 2.

--------------

Now use the point-slope template so we can determine the equation of the boundary line.

[tex]y - y_1 = m(x - x_1)\\\\y - (-2) = \frac{3}{2}(x - 1)\\\\y + 2 = \frac{3}{2}(x - 1)\\\\2(y+2) = 3(x-1) \ \ \text{ see note1 below}\\\\2y + 4 = 3x - 3\\\\2y - 3x = -3 - 4\\\\-3x+2y = -7\\\\3x-2y = 7 \ \ \text{ see note2 below}\\\\[/tex]

Note1: For this step, I multiplied both sides by 2 to clear out the fraction.

Note2: Multiply both sides by -1 so that the x coefficient is positive

--------------

The key thing to pull away from the previous section is that the boundary line equation is 3x - 2y = 7

The question from here is: "What do we replace the equal sign with?"

We need to pick either < or > since we have a dashed boundary. We won't have an "or equal to" portion.

Let's assume the inequality sign is <

3x - 2y = 7 turns into 3x - 2y < 7

To see if this works, we'll plug in the origin (0,0) to get...

3x - 2y < 7

3(0) - 2(0) < 7

0 < 7

The last inequality above is true, so 3x - 2y < 7 is also true when x = 0 and y = 0. It tells us that the origin is in the shaded region. This matches with what the graph shows.

Therefore, we have confirmed that 3x - 2y < 7 is indeed the case.

You could pick other test points. However the origin is the easiest to work with in my opinion. If the boundary went through the origin, then you'd have to pick another point like (0,1).

If you want to use technology to verify the answer, then Desmos and GeoGebra are two good options to go for. See the screenshots below.

Part B Which value is closest to the product 0.04 × 8.01?
A. 32
B. 3.2
C. 0.032
D. 0.32

Answers

Answer:

D

Step-by-step explanation:

this is because when multipled you get 0.3204 so u round and it becomes 0.320

Answer:

D

Step-by-step explanation:

0.04 x 8.01 = [tex]\dfrac{4}{100} . \dfrac{801}{100}[/tex]

[tex]=\dfrac{3204}{10000}\\\\\\0.3204[/tex]

if another line is perpendicular to the line shown on the graph, what must be its slope

Answers

It's B

Slope is negative, the other must be positive due to m1 x m2 = - 1

m1 = -2/5

The diagram shows a gradient of -2/5. So, the

reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)

-2/5 x 5/2 = - 10/10 (or - 1)

Thus, the perpendicular line to this has a gradient of 5/2.

Hope this helps!

A particular industrial product is shipped in lots of 20. Testing to determine whether an item is defective is costly, and hence the manufacturer samples his production rather than using a 100 percent inspection plan. A sampling plan constructed to minimize the number of defectives shipped to customers calls for sampling five items from each lot and rejecting the lot if more than one defective is observed. (If rejected, each item in the lot is tested.) If a lot contains four defectives, what is the probability that it will be rejected

Answers

The probability that the sample will be rejected if five items from 1 lot is selected is 26/15504.

Given Industrial product is product in lots of 20. If sample contains more than one defective then the lot will be rejected.

Probability is the chance of happening an event among all the events possible. The probability lies between 0 and 1. The formula of calculating probability is as under:

Probability= number of items/ total items.

Sample from 1 lot =5

Samples in 1 lot=20

Lot will be rejected when 1 sample, 2 sample , 3 sample, 4 sample or all the samples are defective.

Probability that the lot will be rejected=[tex](5C_{2} +5C_{3} +5C_{4} +5C_{5})/20C_{5}[/tex]

=(10+10+5+1)/15504

=26/15504

Hence the probability that lot will be rejected if the lot is rejected if more than one defective is observed is 26/15504.

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A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.

f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).

Answers

The statements that are true about the intervals of the continuous function are Options 2, 4  and 5

f(x) ≤ 0 over the interval [0, 2].f(x) > 0 over the interval (–2, 0).f(x) ≥ 0 over the interval [2, ).

What is the statement about?

Looking at the values given, the intervals which satisfies the condition are known to be:

f(x)<=0 over the interval [0,2]

f(x)>0 over the interval (-2,0)

f(x)>=0 over the interval [2,∞)

Because:

Since the table with x  and f(x) values, we have to examine analyze the table and see the each option that is in line with f(x) or not .

Examine the values of x that is from -3 to 3, the f(x) values are both positive and negative . hence f(x)>0 is false over the interval (-∞,3)

Looking at the the interval from 0 to 2, the f(x) values are 0 and negative. Hence, f(x)<=0 over the interval [0,2]

When you look over the interval (-1,1), the f(x) values are said to be both positive and negative and as such, f(x)<0 is false over the interval (-1,1)

When you look at the interval (-2,0) , the f(x)  is positive and as such, f(x)>0 over the interval (-2,0)

Looking at the interval  [2,∞), f(x) is positive and as such, f(x)>=0 over the interval [2,∞)

Therefore, Option 2, 4 and 5 are correct.

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Consider the line shown on the graph below. Enter the equation of the line in the form y = mx + b where m is the slope and b is the y-intercept. Enter the equation of the line in the form y=mx + b where m is the slope.

Answers

Hello!

We know the y-intercept (b) is 160. So let's find the slope!

Slope = rise / run

Slope = 120 - 160 / 1 - 0

Slope = -40/1 = -40

Forming the equation :

y = mx + b

y = -40x + 160

∴ The equation of the line in slope-intercept form is y = -40x + 160.

PLEASE HELP I AM REALLY CONFUSED

Answers

Answer:

Step-by-step explanation:

y = 3 (x-1)(x+ 7 )    this graph will intercept the x axis  when y = 0

 0 = 3 ( x-1)(x+7)     so you can see this = 0   when x =1   or when x = -7

                                  these are the x-axis intercepts

         the vertex will be right in the middle between the intercepts found above    ....... at  x = -3    

          plug this value in to find the y coordinate   3 ( -3-1)(-3+7) = -48

                   vertex is   -3, -48

               the axis of symmetry is the value of the x coordinate of the vertex

                          x = - 3

        direction of opening will be upward.....

   see attached graph

Other Questions
What are the vertices of A'B'C if ABC is dilated by a scale factor of 2? Identify two resources from home, school, or your community that could help you address your questions about family planning.1. Name the two resources and explain why each was chosen. (2 points)2. Describe the specific type of advice or support each resource could offer regarding choosing and obtaining a method of contraception. (2 points) Discuss how lymph flows back to the circulatory system and structures threat help the flow of lymph from the upper trunk and lower extremities . A box with a mass of 2 kg only has four forces acting on it: One force of 16 N due East. One force of 24 N due South. One force of 16 N due West. One force of 18 N due North. What is the magnitude of the box's acceleration, in m/s2 By including a quate from response to eric of Sweden Sophie is Suppose that Aces can be either high or low; that is, that {A, 2, 3, 4, 5} is a straight, and so is {10, Jack, Queen, King, Ace}. Moreover, a hand that is an Ace-high beats a King-high, etc. The number of ways of getting a five card hand that is two pair from a standard deck of cards is (Q8) The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is Pls help solve part c PLEASE HELP!!! what function is graphed below? Compared to continental air masses with the same air temperature, maritime air masses: have lower water vapor content. have about the same water vapor content. have higher water vapor content. 1. There are two cyclists (Cyclist A: 225 lb. and Cyclist B: 145 lb.) riding the same course on the same style bike andall other variables are the same. Using the four external forces of resistance, explain which cyclist will come to astop first if they stopped pedaling. Be sure to include each of the four factor's contribution and how each impactedyour answer. (5 points) Identify the area of the figure A circular sheet of paper of radius 6 inches is cut into 3 equal sectors, and each sector is formed into a cone with no overlap. What is the height in inches of the cone please help. im strugglinggggRewrite this measurement with a simpler unit, if possible. Establishing a Mrs. Fields Cookies franchise inside a Hardees fast-food franchise is an example of ________ franchising I find this question kinda hard Question pictured below He is offered a discount for the first five months. after this period, his rate increases by $8.50 per month. his total cost at the end of the year is $245.50. paul wrote the following equation represent his plan. 5x + 7(x + 8.50) = 245.50 part a: how much, in total, will paul pay during the five discounted months of his plan? (1 point The ________ finances the export activities of companies in the United States and offers insurance on foreign accounts receivable. 1/2 of the women in the Spring Garden Club are over 60 years old. 1/4 of the remainder are under 40. What part of the membership is between 40 and 60 years old? (Please explain with steps!! thank you)A) 1/4 B) 3/8 C) 3/4D) 5/8 In spanish describe a real or imaginary past trip in an airplane. Say which airport you flew out of and where you went. Describe what you had to do before taking off and after you landed.