Carol walks 12km at xkm/h and then a further 6 km at (x-1) km/h the total time taken is 5 hours . Write an equation in terms of x and show that it simplifies to 5x squared -23x+12=0

Answers

Answer 1

Step-by-step explanation:

12/x + 6/(x-1) = 5

12(x-1) + 6(x) = 5(x)(x-1)

18x - 12 = 5x² - 5x

5x² - 23x + 12 = 0. (Shown)


Related Questions

A class of 25 students includes 12 boys. Does the ratio of
girls to students represent a fraction? Does the ratio of
boys to girls represent a fraction? How do you know?

Answer- The ratio of girls to students represents a fraction because it is a part- to-whole comparison. The ratio of boys to girl is not a fraction because it is part-to-part.

Answers

Yes it can be a fraction it would be12/13

Answer:

Step-by-step explanation:

Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.

In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?


Choose 1 answer:

A. Jean-Paul

B. Albert


Which friend's bank balance has a greater absolute value?

Choose 1 answer:

A. Jean-Paul

B. Albert

Answers

Hey Hey

Answer 1: Jean-Paul (A)
Answer 2: Albert (B)

Hope this helps <3

Answer 1 A
Answer 2 B

HELP ME PLEASEEEEEE​

Answers

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

which of the following is an irrational number?​

Answers

Answer:

B

Step-by-step explanation:

The other choices are terminal numbers which makes them rational numbers but square root of 19 is an irrational number because square root of 19 is 4.3588989.... This makes it an irrational number since it's just random numbers after the decimal point.

B-because the square root of 19,the numbers after the decimal keep going .

please solve 2x^2 -4x - 48 = 0

Answers

Answer:

-4, 6

Step-by-step explanation:

[tex]2x^2 -4x - 48 = 0 \\ \\ 2( {x}^{2} - 2x - 24) = 0 \\ \\ {x}^{2} - 2x - 24 = 0 \\ \\ {x}^{2} - 6x + 4x - 24 = 0 \\ \\ x(x - 6) + 4(x - 6) = 0 \\ \\ (x - 6)(x + 4) = 0 \\ \\ x - 6 = 0 \: \: or \: x + 4 = 0 \\ \\ x = 6 \: \:o r \: \: x = - 4 \\ \\ x = - 4, \: \: 6[/tex]

Find the slope of the line (-4,4) (-3,-2)

Answers

If i help you can you help me

FAST!!!
Which graph shows the point M(3, 5)?
5
M
4
4
3
3
M
2
2
1
1
A
B
1
3
2
4
0
5 X
0
1
4
2
5 X
3
5
4
4
3
3
2
N
M M
1
M
4
3
0
1
2
5 X
4
3
0 1 2
5 X

Answers

Answer:

graph A is the answer because the M is at the 3 and it move up 5

which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8

Answers

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

How to determine the matrix?

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

Read more about matrix at:

https://brainly.com/question/1821869

#SPJ2

(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many

Answers

Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

help!! how do i solve this and what is the answer??

Answers

Answer:

Yes you got it right.

Step-by-step explanation:

x= -7/4

x= -1 3/4, x= -1.75

−6x + 6y = 6 −6x + 3y = −12

Answers

Answer:

x = 0

y = 2

Step-by-step explanation:

−6x + 6y = 6 −6x + 3y = −12

-6x+6x+6y-3y = 6

3y = 6

y = 2

checking:

6-6x+3.2 = -12

6-6x+6 = -12

12-6x = 12

x = 0

checking 2:

since x = 0 we ignore it and its multipliers from the equation:

6y=6+3y = 12

6.2 = 12 (check)

6+3.2 = 12

6+6 = 12 (check)

A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.

Answers

Answer:

The equation of the parabola is (x + 4)² = -16(y + 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)²  = 4p(y - k), where

The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p  

∵ The focus at (-4, -5)

h = -4

∴ k + p = -5 ⇒ (1)

∵ The directrix at y = 3

∴ k - p = 3 ⇒ (2)

→ Add equations (1) and (2) to find k

∴ 2k = -2

→ Divide both sides by 2 to find k

k = -1

→ Substitute it in equation (1) to find p

∵  -1 + p = -5

→ Add both sides by 1

∴ -1 + 1 + p = -5 + 1

p = -4

→ Substitute the values of h, k, and p in the formula above

∵ (x - -4)² = 4(-4)(y - -1)

∴ (x + 4)² = -16(y + 1)

The equation of the parabola is (x + 4)² = -16(y + 1)

The diameter of a cookie is 2 inches. If \piπ = 3.14, what is the area of the cookie, rounded to the nearest tenth?

Answers

A=Pi R^2
A= 3.14 x 1^2
A= 1

Answer:

6.28 or 7

Step-by-step explanation:

you have to time pie x inches

pie x inches

3.14 x 2

=6.28 rounded up 7

What is the y coordinate of the solution

Answers

Answer:

8

Explanation:

3x-7=x^2-7x+18

X= 5

Y=3(5)-7 aka 15-7

=8

solve x 3+3(x+2)=-24​

Answers

Answer: x =5

Step-by-step explanation:

[tex]x + 3 + 3(x + 2) = - 24[/tex]

[tex]x + 3 + 3x + 6 = - 24[/tex]

[tex]4x + 9 = - 24[/tex]

[tex]4x = - 24 - 9[/tex]

[tex]4x = - 33[/tex]

[tex]x = \frac{ - 33}{4} [/tex]

What number is equivalent to 15 and 25

Answers

Answer:

yo are you talking about like absolute value?  then it's  | -15 | and | -25 |

Step-by-step explanation:

CAN SOMEONE HELP ME PLS

Answers

Answer : FAE

EXPLANATION: C. FAE

18:
A line has a slope of -4 and includes the points (-10,10) and (-7,k). What is the
value for k?
k=
19:
the point (3,4) lies on the graph of the equation 3y=ax+7, then the value of a is
Note: Use slash (/) to separate the numerator and denominator.
200:
Consider a sequence whose first five terms are: -1.75,-0.5,0.75,2,3.25
Which function (with domain all integers n21) could be used to define and continue this
sequence?
A f(n)=7/4(n-1)-5/4
B f(n)=5/4(n-1)-7/4
C f(n)=(7/4)n-5/4
D f(n)=(5/4)n-7/4

Need help with 18-20 plz help I put a picture there to I really need these ASAP

Answers

18 - K= -22
19- a = 5/3

What is the slope of a line represented by 3x-14y=28

Answers

Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

-6 + (-3) - (-2) =
A. 11
B. 7
C. -7
D. -11​

Answers

Answer:

C. -7

Step-by-step explanation:

Answer:

C. -7

Step by step explanation:

-6+(-3)-(-2) When there is a in front of an expression in parentheses, the expression remains the same and when there is a in front of an expression in parentheses, change the sign of each term in the expression
-6-3+2= -7

True or False: The commutative property allows you to change the order of an addition problem and division problem.
<333

Answers

Answer:

True!!

Step-by-step explanation:

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Hope this helps!! Please consider marking brainliest! Have a good one!!

Help asap i will do brainlist and everything

Answers

Answer:

the picture isnt showing

Can someone answer this I would really appreciate it thanks :)

Answers

Answer:

Y = 130

X = 20

Z = 110

Answer:

y= 130 degrees  x= 20 degrees  z= 110 degrees

Step-by-step explanation:

I solved top left triangle first. So, we know all triangles add up to 180 degrees and we have two on the angles so 85 + 45 = 130 then 180 - 130 = 50 so the missing angle near y is 50. Now to figure out Y then you just subract your answer (50)  from 180 which you get 130. So y is 130 degrees. Then to figure out X, you just do 180 - 130 = 50, 50 - 30 = 20, so x is equal to 20 degrees. Then lastly to figure out z we know that the missing angle is 50 because its vertical to the other 50 degree so now you do 180 - 20 = 160, 160 - 50 = 110 degrees.

Which expression can be used to find The amount of money for camp leader spends on b books

Answers

Answer:

Part A: A. 7.50 x b

Part B: $90

Step-by-step explanation:

Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.

Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.

WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.

Store Customers

A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).

Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.

Answers

Answer: After 7 hours, 175 customers had been in the store.

Step-by-step explanation:

Did the quiz, Trust me.

Answer:

ccccccccc!

Step-by-step explanation:

A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag without replacement, what is the probability that all three will be the same color? Express your answer as a common fraction

Answers

Answer:

11/120

Step-by-step explanation:

Red = 3Yellow = 5Blue = 2

Possible options would be red or yellow as only two blue marbles.

Probability of 3 red:

3/10*2/9*1/8 = 1/120

Probability of 3 yellow:

5/10*4/9*3/8 = 1/12

Probability of same three is:

1/120 + 1/12 = 11/120

translate this sentence to an equation
38 is the product of Malik's score and 2. Use the variable m to represent Malik's score.​

Answers

Answer:

Step-by-step explanation:

m * 2 = 38

Equation: 2m = 38

Solution:

2m = 38

 m = 38/2

m = 19

Malik's score = 19

Answer:

Given :-

38 is the product of Malik's score and 2. Use the variable m to represent Malik's score

To Find :-

Marks scored by Malik

Solution :-

The equation will be

[tex] \frak{2m = 38}[/tex]

Total marks

[tex] \tt \: m \: = \dfrac{38}{2} [/tex]

[tex] \tt \: m \: = 19[/tex]

The marks scored by Malik is 19

Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 30 flowers. How many daisies should she plant?

Answers

She should plant 18 daisies and 12 carnations.

Steps:

Divide 30 by 5 because 3+2 is 5

The answer is 6

The proportion for daisy is 3 so multiply 3 by 6 which is 18

For carnations multiply 2 by 6

Answer:

18 Daisies and 12 Carnations

Step-by-step explanation:

The total amount of flowers adds to be 30 therefore the amount of daises plus the amount of carnations should equal 30 (d+c=30). Then your ratio of daises to carnations is 3 to 2. Which means that you are going to have three daisies for every 2 carnations.

Two liabraries donated to a local school. One library donated 786 books and the other library donated 1245 books. The school divided the books evenly among 11 classrooms. Estimate the number of books each classroom received. Check if the answer is reasonable.

Answers

each classroom has received 184 & 8 books are being left

What is the K for this story Problem? John bought 27 baseball cards for $9. How many baseball cards can he buy with $84?

Answers

Answer:

210

Step-by-step explanation:

9 divided by 27 = .33333 = .4

you would divide 9 by 27 because if you did 27 divided by 9 he would only have 3 cards

84 divided by .4 = 210

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