Bronwyn walks one lap of an oval at 2.5 km/h and then jogs another eight laps of the
oval at 5 km/h. If it takes her 30 minutes in total, how long in metres is each lap?

Step-by-step explanation:

Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.  

x + (x + 8) + (x + 13) = 72

Now we can rearrange and solve for x.

3x + 21 = 72

3x = 51

x = 17

Answer:

120

Step-by-step explanation:

Answer:

92%

Step-by-step explanation:

since i helped can i have brainlst please that would be greatly apericated

Answer:

85%

Percentage solution with steps:

Step 1: We make the assumption that 80 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100% = 80.

Step 4: In the same vein, x% = 68.

Step 5: This gives us a pair of simple equations:

100% = 80(1)

x% = 68(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100%/x% = 80/68

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100% = 68/80

__>x = 85%

Therefore, 68 is 85% of 80.

Answer:

Please check explanations

Step-by-step explanation:

The equation of a circle can be represented as;

(x-h)^2 + (y-k)^2 = r^2

r is the radius while (h,k) represents the coordinates of the center

Thus, we have that;

(x-2)^2 + (y+3)^2

That would give;

x^2 - 4x + 4 + y^2 + 6y + 9

The sum of values with no coefficient is;

4 + 9 = 13

If we take this to the other side, we can have 13 + 3 = 16

The square root of this is then 4

Mathematically, we can therefore express the equation of the circle as;

(x-2)^2 + (y-+3)^2 = 4^2

By expansion, we will get the original given equation

Answer:  

The Original Number is 36 :)

explanation:

Answer:

3,-2   5,-3   2,1

Step-by-step explanation:

all the points in the shaded region are the right answer

Step-by-step explanation:

y-intercept in the point x = 0

B) is the easiest

g(x) or y value

g(x) = 3x² + 6x -9

= 3(0)² + 6(0) -9

= 0 + 0 -9

= -9

y-intercept = (0,-9)

Answer:

1/56

Step-by-step explanation:

ploz brainliestt

Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = [tex]\frac{78}{2}[/tex]

  = 39

y = 39

x = 21, y = 39

Answer:

try both -1, if I'm wrong I am sorry

Answer: y - 3= -1/2 * (x - 8)

Answer:

y=-1/2x+3

Step-by-step explanation:

Slope intercept form is written: y=mx+b...

y=doesn't change, but you need it by itself

m=slope

x=the variable right next to the slope

b=y-intercept

Also, don't worry! This is super simple ^^

The question gives us -1/2 as the slope, so it needs to be plugged into the equation as m (next to x). Now our equation looks like this:

y=-1/2x+b

Next, we can figure out b. B is the y-intercept and we can figure this out by looking at the ordered pair (8, 3). The y is the second number, which is 3, so that is the y-intercept! We can now plug in 3 into b. Our final equation looks like this:

y=-1/2x+3

Hope this helps!! Have an awesome day ❤

Answer:

5.04

Step-by-step explanation:

1 can equals to 336 grams

so 15 cans will equal to 336 X 15

which is 5040grams

now covert it into kg by dividing it by 1000

which 5.04

The area of the given cloth is 1/6 yards².

So, the area of the cloth:

So, we know that it is a rectangular cloth.

Calculate the area as follows:

Therefore, the area of the given cloth is 1/6 yards².

Know more about areas here:

https://brainly.com/question/25292087

#SPJ1

Given:

[tex]\Delta UVW\sim \Delta USR[/tex]

To find:

The missing length marked with a question mark.

Solution:

Let x be the missing value.

We have,

[tex]\Delta UVW\sim \Delta USR[/tex]

Corresponding sides of similar triangles are proportional, so

[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]

Using this, we get

[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]

On substituting the values, we get

[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]

[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]

On cross multiplication, we get

[tex]70\times 4=5\times x[/tex]

[tex]280=5x[/tex]

[tex]\dfrac{280}{5}=x[/tex]

[tex]56=x[/tex]

Therefore, the missing length is 56 units.

Answer:

A. by doing it themselves lol

Step-by-step explanation:

Answer:

10 6/10

Step-by-step explanation:

since the 6 is in the tenths place we know the denomiter is going to be 10. The 10 infront of the 6 is a whole number

Answer: 15/24

Step-by-step explanation:

A x B = 5/6 x 3/4 = 15/24

Answer:

6364 cases

6364 bottles are left

Step-by-step explanation:

From the question, we are given the following

Total bottles of water = 8500bottles

Total cases filled = 2136cases

Required

Number of cases Jane can film with the remaining bottle.

Number of cases Jane can fill = 8500-2136

Number of cases Jane can fill with the remaining bottle= 6364 cases

Number of bottles left = number of cases Jane have left to fill.

Hence;

Number of bottles left = 6364 bottles

Answer:

Rewrite (Lambert form):

[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]

Simplify :

[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]

Solve:

[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]

Result:

[tex]x=2,\:x=1[/tex]

Hope this helped u :)

If this was too complicated I can edit it for you.

Answer:

the expression to find the shaded region : 14x+21

Step-by-step explanation:

(x+5)² - (x-2)² solve by distribution

7(2x+3)

14x+21

Answer:

14x+21

Step-by-step explanation:

(x+5)² - (x-2)²

7(2x+3)

14x+21

Answer:

here............. you go...

Answer:

3/8 of the box

Step-by-step explanation:

On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.

On Saturday she uses 1 1/2 times as much pancake mix as Friday.

On Friday = 1/4 of the box

On Saturday = 1 1/2 × pancake mix as Friday

[tex]\dfrac{3}{2}\times \dfrac{1}{4}\\\\=\dfrac{3}{8}[/tex]

Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.

Answer:

a.)2 b.)6

Step-by-step explanation:

a.) solve 7x+4=18 because EC bisects making FEC = CEG

b.) solve 12y+18=90 because AED is 90 degrees

Answer:

1 2/8 or 10/8

Answer: 54/5

Step-by-step explanation: