9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

Nancy’s equation: Juan’s equation:

Answers

Answer 1

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

[tex]y=3x[/tex]

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

[tex]y=3+2x[/tex]

Therefore, the equations of Nancy and Juan are [tex]y=3x[/tex] and [tex]y=3+2x[/tex] respectively.


Related Questions

A submarine is 150 feet below sea level and then descends 850 feet before rising 35 feet and leveling out. At what depth is the submarine when it levels out?

Answers

It’s at a depth of 965ft

You would take 150 and add 850 which equals 1000 and then subtract 35 which gives u 965ft

Please help me with this question!!

Answers

Answer:

The correct result is 2 pounds per quart

Step-by-step explanation:

Dividing Fractions

The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]

This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]

Jessie was dividing these two fractions:

[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]

And got the incorrect result

[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]

This mistake was probably the result of multiplying both fractions instead of dividing them.

The correct operation is:

[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]

The correct result is 2 pounds per quart

Can someone please help me with this question? It's so tricky

Answers

Answer:

math is tricky but itsall in your head jk you got this

Step-by-step explanation:

Answer:

C. 6 1/2

Step-by-step explanation:

your formula: V=lwh

(turn your fractions into improper numbers)

13/6*6/5*5/2= 13/2= 6 1/2

if you go to school 5 days a week are the weekends your technical days off?

Answers

Answer:

Yes! The weekend is time where you get a break from school/homework and relax! :)

need help with slope ​

Answers

X-Intercept: (0,100)

Y-Intercept: (-250,0)

please help look at screenshots

Answers

Answer:

2nd one is hardest someone help him lol


2. What is the equation in slope-intercept form of the line that passes through the given points in
the table?
x
2
3
y
-1
-4

Answers

Answer:

3y= -1 + 2x -4

Step-by-step explanation:

cause.... COOCHIEMAN

Priya, and Jibran take 1 hour and 10 minutes working together to deliver all newspapers on their route. Priya, when working alone, can finish the delivery route 5 minutes faster than Jibran. How many minutes does it take each person to complete the route if they worked alone

Answers

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:

[tex] P + J = 60min + 10min = 70 min [/tex]    (1)

Also, Priya can finish the delivery 5 minutes faster than Jibran:

[tex] P = J - 5 [/tex]    (2)  

By entering equation (2) into (1) we have:

[tex] (J - 5) + J = 70 min [/tex]

[tex] 2J = 75 min [/tex]

[tex] J = 37.5 min = 37 min + 30 s [/tex]

Hence, Jibran takes 37 minutes and 30 seconds to complete the route.

Now, by entering J into equation (2):

[tex] P = 37 min + 30 s - 5 min = 32 min + 30s [/tex]

Therefore, Priya takes 32 minutes and 30 seconds to complete the route.

I hope it helps you!      

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

FINDDD VALUE OF Y!!!!

Answers

Answer:

The sum of the internal ángles = 360°

(3y+40)°  and  (3x-70°) are suplementary angles = 180°

then:

(3x-70) + (3y+40) + 120 + x = 360     ⇒ first eq.

(3y+40) + (3x-70) = 180      ⇒  second eq

development:

from the first eq.

3x + x + 3y  =  360  + 70 - 40 - 120

4x + 3y = 430 - 160

4x + 3y = 270       ⇒  third eq.

3y = 270 - 4x

y = (270 - 4x) / 3    ⇒  fourth eq.

from the secon eq.:

3y + 3x = 180 + 70 - 40

3y + 3x = 250 - 40

3y + 3x = 210    ⇒  fifth eq.

multiply by -1  the fifth eq and sum with the third eq.

  -3y  - 3x = -210    ⇒   (fifth eq. *-1)

   3y  + 4x = 270

⇒  0   +  x  = 60

x = 60°

from the fourth eq.

y = (270-4x)/3

y = (270-(4*60)) / 3

y = (270 - 240) / 3

y = 30/3

y = 10°

Probe:

from the first eq.

(3x-70) + (3y+40) + 120 + x = 360

3*60 - 70 + 3*10 + 40 + 120 + 60 = 360

180 - 70 + 30 + 40 + 120 + 60 = 360

180 + 30 + 40 + 120 + 60 - 70 = 360

430 - 70 = 360

Answer:

y = 10

A country is dealing with a serious macroeconomic problem. Businesses
around the country have been shutting down, leaving millions of people out of
work. Even citizens with a high level of education and technical skills are
struggling to find jobs.
Which problem is this country dealing with?
A. A high unemployment rate
B. A high level of inflation
C. A low per capita GDP
D. A rapid growth in GDP

Answers

Answer:

A: A high unemployment rate

Step-by-step explanation:

A high unemployment rate is the problem which is dealing by the country

What is Business?

Business is the practice of making one's living or making money by producing or buying and selling products.

Given that a country is dealing with a serious macroeconomic problem. Businesses around the country have been shutting down, leaving millions of people out of  work.

Even citizens with a high level of education and technical skills are

struggling to find jobs.

This problem is dealing with high unemployment rate.

Unemployment is a measure of the percentage of the labor force that is without work but actively seeking employment.

By given data it suggests that many businesses have shut down, leading to a significant increase in the number of people who are out of work. This situation is often referred to as a high unemployment rate.

Hence, a high unemployment rate is the problem which is dealing by the country.

To learn more on Business click:

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Find the values of x, y, and z. The diagram is not to scale.

Answers

Answer:

95 = x

85 = z

75 = y

Step-by-step explanation:

**remember** all triangles contain 180 degrees

this means that the triangle to the left should add up to 180 to we can set up this equation

180 = 60 + 25 + x

180 = 85 + x

95 = x

now **remember** a flat line is 180 degress so x + z is 180... we can set up this equation:

x + z = 180

plug in x = 95 from before

95 + z = 180

z = 85

**remember** again that a triangle in 180 degrees so for the right one we can set up this equation by pluggging in the z=85

180 = 20 + 85 + y

180 = 105 + y

75 = y

Answer:

first option

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , thus

x = 180° - (60 + 35)° = 180° - 95° = 85°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

z is an exterior angle of the triangle , thus

z = 60° + 35° = 95°

Using the sum of angles in a triangle, then

y = 180° - (95 + 20)° = 180° - 115° = 65°

Thus

x = 85°, y = 65°, z = 95°

-1+10x^3+x^2
−1+10x
3
+x
2

Answers

Answer:

=20x3+2x2−2

Step-by-step explanation:

Let's simplify step-by-step.

−1+10x3+x2−1+10x3+x2

=−1+10x3+x2+−1+10x3+x2

Combine Like Terms:

=−1+10x3+x2+−1+10x3+x2

=(10x3+10x3)+(x2+x2)+(−1+−1)

=20x3+2x2+−2

Difficult one for me: Geometry!

Answers

Answer:

what is your question here??

Enter the correct value so that each expression is a perfect-square trinomial. x2 + 1/2 x +

Answers

1/16 is your answer

Answer: 1/16

Step-by-step explanation:

edge2020

Un apostador pierde en su primer juego el 30% de su dinero, en el segundo juego pierde el 50% de lo que perdió; finalmente en el tercer juego pierde el 40% de todo lo que ha perdido quedándole 37 soles para seguir apostando. Dar como respuesta el dinero que el apostador tenía al principio menos su 75%

Answers

Responder:

26,62

Explicación paso a paso:

Sea x el dinero original que tenía el jugador:

si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;

[tex]= 30/100 \ of \ x\\= 0.3x[/tex]

Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:

[tex]= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x[/tex]

Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:

[tex]=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x[/tex]

Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:

0,3x + 0,15x + 0,2025x + 37 = x

0,6525x + 37 = x

x-0,6525x = 37

0,3475x = 37

x = 37 / 0,3475

x = 106,48

La cantidad que tenía originalmente era de 106,48

75% de 106,48

= 75/100 * 106,48

= 0,75 * 106,48

= 79,86

Tomando la diferencia entre su monto original y su 75% será:

[tex]= 106.48-79.86\\= 26.62[/tex]

PLSSS HURRY!!! Thank youu

Answers

Answer:

c- 90

a and b- 45 each

Step-by-step explanation:

since the sum of all angles on the inside of a triangle is 180, and c is 90 degrees, you can subtradt 90 from 180 and divide that by 2, getting angles 1 and b.

Let g(x) = x2 + 4x - 1. Evaluate for g(-1)

Answers

Answer:

-7

Step-by-step explanation:

x2 + 4x - 1

(-1)2 + 4(-1) - 1

-2 + -4 - 1

-7

Find the product (10)(-2)(-3)

Answers

Answer:

60

Step-by-step explanation:

(10)(-2)(-3) = ?

The minuses cancel out each other

10*2*3 --> 20* 3

Simplified Math

60

Sum

y = |x|-2 how do I graph this

Answers

Answer:

Look below

Step-by-step explanation:

The normal absolute value graph is a v shape in the origin, so just go to (0, -2) because of the -2

Hope this helps!!!!

Graph:

What is an equation of the line that passes through the points (6,-4) and (1,6)?
Put your answer in fully reduced form.

Answers

Answer:

y

=

m

x

+

b

to find the equation.

y

=

2

x

+

8

Step-by-step explanation:

16. (01.07)
An equation is shown below:
4(x - 3) - 5(x + 1) = 3
Which statement shows a correct next step in solving the equation? (1 point)
The equation can become 4x - 3 - 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x - 3 - 5x + 1 = 3 by applying the distributive property.
The equation can become 4x - 12 - 5x - 5 = 3 by applying the distributive property.
The equation can become 4x - 12 - 5x - 5 = 3 by applying the associative property of multiplication.
17.(01.07)
00:07:38

Answers

Answer:

Use the site called quetext is helps when brarnly is not

Step-by-step explanation:

3x²-2x=4 quadratic equation​

Answers

Answer:

here is the answer

Step-by-step explanation:

i needed the extra words to publish but look at the image

You are designing a hike that starts at the top of the canyon, above sea level. You plan to stop at three locations: •a scenic landmark, which is at sea level •famous boulder, which is below sea level •the bottom of the canyon, which is 600 feet below sea level

Answers

Answer:

Hello your question is incomplete attached below is the complete question and solution as well as the detailed solution

Step-by-step explanation:

The total change in elevation as represented in the number line is

600 - 600 = 0 ( sea level )

below sea level = 0 - 200 = -200 (where the famous boulder is located)

-200 -400 = - 600 feet ( bottom of canyon)

The variables y and x have a proportional relationship, and y = 24 when x = 16.



What is the value of x when y = 36?

x = 16
x = 24
x = 36
x = 54

Answers

Answer:

b) x = 24

Step-by-step explanation:

if y is 24 and x is 16, they make the fraction [tex]\frac{24}{16}[/tex]

this can be simplified to [tex]\frac{3}{2}[/tex] if you divide both sides of the fraction by 8.

36/3 is 12, and 12 * 2 = 24.

so, x = 24

Answer:

x=24 or B is the correct answer.

I took the test, and this was the correct answer. Hope this helped-!

What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)​​

Answers

Answer:

The equation of the line is y - 12 = [tex]\frac{5}{6}[/tex] (x + 9) ⇒ B

Step-by-step explanation:

The slope-point form of the linear equation is

y - y1 = m(x - x1), where

m is the slope of the line(x1, y1) are the coordinates of a point lie on the line

∵ The slope of a line is [tex]\frac{5}{6}[/tex]

∴ m = [tex]\frac{5}{6}[/tex]

∵ The line passes through point (-9, 12)

∴ x1 = -9 and y1 = 12

→ Substitute these values in the form of the equation above

∵ y - 12 = [tex]\frac{5}{6}[/tex] (x - -9)

→ Remember (-)(-) = (+)

∴ y - 12 = [tex]\frac{5}{6}[/tex] (x + 9)

∴ The equation of the line is y - 12 = [tex]\frac{5}{6}[/tex] (x + 9)

7:x=2:3

What is the answer can not find out

Answers

Answer:

10.5  = x

Step-by-step explanation:

7:x = 2:3

can be rewritten as

7/x = 2/3

because, a proportion is the same as a fraction, which is the same as division

so now use cross products to solve the equations

7/x = 2/3

7 * 3 = 2 * x

simplify

21 = 2x

inverse operations

21 = 2x

/2    /2

10.5 = x

10.5

7/2 = 3.5

3.5 x 3 = 10.5

The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0




please help quickly​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the information above :

A) Cost equation for Newton Telephone company :

y = 8x

Where x = number of minutes used

y = total cost for x minutes

Cost equation for Tryus telephone company :

y = connection fee + (fee per minute * number of minutes)

y = 42 + (2x)

Where x = number of minutes used

y = total cost for x minutes

Amount is in cent

i just need some help on a few math questions. i'm very bad at math sorry :(

Answers

Answer:

Q1) D

Q2) A

Q3) A

Q4) I'm sorry I can't figure this one out

Q5)2.7

Step-by-step explanation:

HIJ is equal to STR What is the perimeter of STR?

Answers

Answer:

Do you have a picture to show ?

Which triangle has 0 reflectional symmetries?

A triangle has all different side lengths and angle measures.
A triangle has all equal side lengths and angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.

Answers

Answer:

A

Step-by-step explanation:

A triangle has all different side lengths and angle measures have? 0 reflectional symmetries . Option A is correct.

Which triangle has 0 reflectional symmetries to determine.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°


For a triangle that has 0 reflectional symmetries implies the triangle must be of irregular shape. Every measure must not be identical. If any measure in the triangle is not the same means every side and angle has a different measure.  So it is impossible to find any axis of symmetry within the triangle

Thus,  a triangle has all different side lengths and angle measures have? 0 reflectional symmetries. Option A is correct.

Learn more about triangles here:
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