6.
Two cars A and B 250 km apart are traveling towards each other on the same road. Car A travels at 55 km/h
while car B travels at 70 km/h.
(a) When will they meet on the road?
(b) Find the distance each car travels before they meet.

Answers

Answer 1

Answer:

At 2 hours they will meet on the road

Car A:  110 km;  Car B:  140 km

Step-by-step explanation:

Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.

Let x be the time, in hours.

              Miles Travelled

Car A             (55km/h)x

Car B             (70 km/h)x

(55km/h)x +  (70 km/h)x = 250

55x + 70x = 250

125x = 250

x = 2 hours  At 2 hours they will meet on the road

              Distance Travelled

Car A             (55km/h)2 =  110 km

Car B             (70 km/h)2 = 140 km


Related Questions

Please help this is due on Monday! Will give brainliest!!!!

Answers

Answer:

The awnser in the first option. A

2. Graph each inequality on a number line:

5x + 15 < 0

Answers

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]  

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]

2. Now that we know x < -3, let's graph it!

Since it's less than, we make the number line point to the left, and we make the circle open.

If (-2,11) and (9,22) are two
anchor points on the trend line,
then find the equation of the line.
y = [ ? ]x + [

Answers

Answer:

The equation of the line is- y = x + 13

Katherine Johnson is best known for her work on ________.

Answers

Answer:

Pretty sure she was best known for calculating flight paths of spacecraft.

help me with this question plz with an explanation

Answers

Answer:

374mm squared

Step-by-step explanation:

Bottom rectangle can be cut off to equal 52mm, by multipling 4 by 13

the rest is 14*23, which equals 322mm

add those together to get 374mm squared

Answer:

374 square millimeters

Step-by-step explanation:

First, we can split the shape into 2 rectangles.

This will give us a rectangle with a width of 13 and 10.

Let's work out 1 rectangle at a time.

Area of a rectangle=Width times by legth

13*18=234- This is the area of 1 of the rectangles.

10*14=140- This is the area of the second rectangle

Now we add the areas together to get 374 square millimeters, which is the area of this figure.

The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *

Answers

Step-by-step explanation:

5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32

5×(x - 32) = 9×9/5 × x + 32×9

5×5×(x - 32) = 9×9×x + 32×9×5

25x - 32×25 = 81x + 32×45

32×(-25 - 45) = 56x

4×(-70) = 7x

x = 4×(-10) = -40

-40° is the same temperature in Celsius and in Fahrenheit.

25.4 as mixed number

Answers

Answer:

6.25

Step-by-step explanation:

I believe you were trying to put a fraction in but accidentally pressed the period.

25/4

6 1/4

6.25

Answer:

25 2/5

Step-by-step explanation:

Hope it's right and it helps.

Solve 4,200 ÷ 70 = ________. Rewrite as a fraction to help you.

Answers

4200/70
take out a zero on both top and bottom

420/7
Simplify

= 60

Hope this helps!
Brainliest and a like is much appreciated

Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c

Answers

Y=2x+9 it’s hard to explain but I’m pretty sure this is the answer

Please help me its due tommorow

Answers

Answer:

read below for answers

Step-by-step explanation:

7. 4d + 6 =42

d = 9

8. -3y + 12 = -48

y = 20

9. k/2 + 9 = 30

k = 42

10. g/3 - 7 = 15

g = 66

11. z/5 + 3 = -35

z = -190

12. -9h - 15 = 93

h = -12

13. -3(n + 5) = 12

n = -9

14. -17 + b/8 = 13

b = -32

15. 7( c- 12 ) = -21

c = 9

16. -3 + p/7 = -5

p = -14

17. 46 = -6t - 8

t = -9

Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?

Answers

Answer:

y=-2x-39

Step-by-step explanation:

Answer:

100=39+2x

Step-by-step explanation:

hoped that hedlp:P

7 1/3 x 7/11
simplify the answer completely and change to a mixed number

Answers

Answer:

Hello There!

Your question says that

[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]

Now lets convert mixed fraction to improper fraction

[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]

Now let's simplify..

[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]

Now simplify 22 and 11 so it will look like

[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]

Now lets convert it to mixed fraction...

[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]

So it is the answer

[tex]4 \: \frac{2}{3} \\ \\ [/tex]

I hope it is helpful to you..Cheers!______

The product of the two given fraction is [tex]4\frac{2}{3}[/tex].

The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].

Product of two fractions = Product of their numerators / Product of their denominators.

Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]

= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]

= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]

= [tex]\frac{14}{3}[/tex]

In mixed fraction [tex]4\frac{2}{3}[/tex]

Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].

To learn more about the product of two fractions visit:

https://brainly.com/question/7335118.

#SPJ6

given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?




A. The polynomial has a degree of 6

B. The polynomial has a leading coefficient of 4

C. The polynomial has 4 terms

D. The polynomial has a degree of 4

E. The polynomial has a leading coefficient of 6

Answers

Answer:

D and E are true

Step-by-step explanation:

The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term

6[tex]x^{4}[/tex]

Thus the polynomial is of degree 4 → D

The leading coefficient is the coefficient of the variable with the largest exponent, that is

6[tex]x^{4}[/tex]

The leading coefficient is 6 → E

ANSWER IT!!! I ONLY HAVE MINUTES ​

Answers

Answer:

D

Step-by-step explanation:

5 + n is the sum of 5 and a number

amd then "less than or equal to -7" represents the no more than -7

Answer:

D

Step-by-step explanation:

To the moderator that deleted my answer, that was not necessary in the slightest. Go back to reporting bots, not removing correct answers that are put there to help people

This is so stressful, i’ve tried everything and I don’t get this at all.

Answers

n = 5

These are similar triangles so their sides are proportional. The scale factor is the smaller triangle to the large triangle is

5/12.5 = 4/10 = 2/5

So if AB corresponds to QR (2 corresponds to n) then n = 5

10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.

Answers

The simplest form to this equation would be 15/77

please mark me brianliest if i was correct!

Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77

Simplification of fractions

Fractions are written as a ratio of two integers

Give the expression

10/11 x 3/7 x 1/2

This can also be written as:

10/2 * 1/11 * 3/7

= 5/11 * 3/7

= 15/77

Hence the product of the fractions in its simplest form is 15/77

Learn more on fractions here: https://brainly.com/question/78672

#SPJ2

what regular polygon has an interior angle of 156 degrees

Answers

Answer:

regular pentadecagon

Step-by-step explanation:

it has 15 sides

that is what matches the exterior angled sum property - 360degree

let me explain it

1 side = 180 - 156 = 24

360/24 = 15

mark me brainliest and thank me if you like the answer

Complete the table if x & y vary inversely

Answers

Answer:

(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)

We need to use 60 yards of fencing to enclose a rectangular shaped garden the length is 30 yards less than twice the width. Find the dimensions of the garden.

Answers

Answer:

W = 16 2/3 yards

L = 3 1/3 yards

Step-by-step explanation:

A rectangle will consist of two sides with length L, and two more sides with length W.  Area will be W*L.

We are told that L is 30 yards less than 2W:

L = 2W - 30

We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.

Therefore, we can write:  2W + 2L = 60 yards.

I see the words "need to use," so I must conclude that all of the fencing must be used.  This sounds like a domestic issue.

Let's use L=2W-20 in the equation 2W + 2L = 60:

2W + 2L = 60

2W + 2(2W-20) = 60

2W + 4W-40 = 60

6W =100

W = (100/6) = 16 2/3 yards

L = 2W - 30

L = 2(16+(2/3)) - 30

L = 33 1/3 - 30

L = 3 1/3 yards

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

Is the length 30 yards less than twice the width?

2W = 33.33

33.33 - 3.33 = 30 yards  YES

Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.​

Answers

Answer:

No, it is not a solution to the equation.

Step-by-step explanation:

If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.

3a +b= 8

When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],

LHS

= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]

[tex] = \frac{19}{3} + \frac{15}{3} [/tex]

[tex] = \frac{34}{3} [/tex]

[tex] \frac{34}{3} ≠8[/tex]

Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.

Given equation is 3a+b = 8

Given point = (19/9,15/3)

Put a = 19/9 and b = 15/3 in LHS of the given equation then

⇛ 3(19/9)+(15/3)

⇛(19/3)+(15/3)

⇛ (19+15)/3

⇛ 34/3 ≠ 0

LHS ≠ RHS

Given point not satisfies the given equation

Therefore, it is not the solution of the given point.

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What is the value of a in the equation 3a + b = 54, when b = 9? 15 18 21 27..

https://brainly.com/question/164361?referrer

how do I do this question?

Answers

Answer:

x = (y +2)/3

Step-by-step explanation:

y= 3x-2

y+2=3x

x=(y +2)/3

6 divided by 4 write your answer in a decimal form

Answers

The answer should be 1.5

Answer:

1.5

Step-by-step explanation:

Four goes into six once, then four goes into 20 5 times

lus
Suppose that y varies directly with x
and y = 10 when x = 20. What is y
when x = 15?
Enter your answer as a simplified fraction.
y =

Answers

Answer:

15/2

Step-by-step explanation:

y varies directly as x can be written as:

y & x

y = Kx

K = y/x

But from the question, we were told that:

y = 10

X = 20

K = y/x

K = 10/20

K = 1/2

The formula for the expression is:

y = Kx

y = 1/2 x

Now let us solve for y, when:

x = 15

y = 1/2 x

y = 1/2 x 15

y = 15/2

Answer:

When x = 15, y = 15/2

Step-by-step explanation:

Formula:  "y varies directly with x" comes out to y = kx symbolically.

Find the value of the constant of proportionality, k:  If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.

Then the formula is y = (1/2)x.

When x = 15, y = 15/2

helppppppppppppppppppppppppppppp

Answers

Answer:C

Step-by-step explanation:

I seraph it up

Answer:

Latisha works x hours a day.

No. of hours Demetrius works = x+1 a day.

No. of working days a week = 5

No. of hours Demetrius works weekly =

= 5(x+1)

which can also be written as 5x+5

So the c option is correct.

number 4 plssss!!!!!!!!!!

Answers

Answer:

AB = 21

Step-by-step explanation:

Tales' theorem

[tex]\frac{12}{14} =\frac{18}{AB}[/tex]

[tex]AB=\frac{(14)(18)}{12}[/tex]

[tex]AB=21[/tex]

Hope this helps

(i)Given that:

AE || BD

AB = ? [Let AB be x]

BC = 3

ED = 12

DC = 4

We know that

By Basic Proportionality Theorem,

AB/BC = ED/DC

On substituting these values in the above formula

⇛ AB / 3 = 12 / 4

On applying cross multiplication then

⇛ x(4) = (12)3

⇛ 4x = 36

Shift the number 4 from LHS to RHS.

⇛ x = 36÷4

⇛ x = 36/4

Therefore, AB = 9

Answer: The value of AB for the given problem is 9.

Similarly,

(ii) Given that:

EB || DC

AE = 14

ED = 12

AB = ? [Let AB be X]

BC = 18

We know that

By Basic Proportionality Theorem,

AE / ED = AB / BC

On substituting these values in the above formula

⇛ 14 / 12 = x / 18

On applying cross multiplication then

⇛ 14(18) = (12)x

⇛ 252 = 12x

Shift the number 252 from LHS to RHS.

⇛ X = 256÷12

⇛ X = 21

Therefore, AB = 21

Answer: The value of AB for the given problem is 21

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

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A half circle is joined to an equilateral triangle with side lengths of 12 units.

What is the perimeter of the resulting shape? Type your answer in the box below.

Answers

Answer:

P = 12 pi units + 24 units.

Step-by-step explanation:

All sides of an equilateral triangle are of the same length.  Here that length is 12 units.  We take a circle of diameter 12 units and cut it in half through its center.  Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.

The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units.  This is half the formula C = 2(pi)(r).  The two non-attached sides of the triangle have a total length of 24 units.

Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.

Share 120 in the ratio 3:5:7

Answers

Answer:

24:40:56

Step-by-step explanation:

3+5+7=15

120/15=8 1 Ratio is 8

3x8=24

5x8=40

7X8=56

i dont know if its the easiest method

Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines

Answers

Answer:

C) perpendicular lines

Find the solution(s) for x in the equation below.
x2 – 25 = 0

Answers

Answer:

x=5,-5

Step-by-step explanation:

Daniel went to Target and bought a magazine for $5.99, a book for $15.99, and a DVD for $20.99. What was his total bill including 6% sales tax?

Answers

5.99+15.99+20.99= 42.97
.06 times 42.97= 2.58
2.58+42.97= 45.55
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