Answer:
9 runners
Step-by-step explanation:
Number of runners who started race = 45
Fraction that dropped off in the first half =. 2/3
Fraction of the remaining that dropped of in the second half = 2/5
Number of runners who dropped off in the first half :
(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners
Runners left = (45 - 30) = 15
Number who dropped off in the second half :
(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners
Number of runners who finished the race :
(15 - 6) = 9 runners
please help and show work
Answer:
see explanation
Step-by-step explanation:
(3)
The opposite sides of a parallelogram are congruent, so
6x = 3x + 15 ( subtract 3x from both sides )
3x = 15 ( divide both sides by 3 )
x = 5
and
2y - 10 = y + 5 ( subtract 5 from both sides )
y - 10 = 5 ( add 10 to both sides )
y = 15
Then x = 5 and y = 15
-------------------------------------------------------------------------
(4)
The diagonals of a parallelogram bisect each other, thus
y = 4x - 6 → (1)
9x - 25 = 2y → (2)
Substitute y = 4x - 6 into (2)
9x - 25 = 2(4x - 6)
9x - 25 = 8x - 12 ( subtract 8x from both sides )
x - 25 = - 12 ( add 25 to both sides )
x = 13
Substitute x = 13 into (1)
y = 4(13) - 6 = 52 - 6 = 46
Then x = 13 and y = 46
triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle
9514 1404 393
Answer:
not a right triangle
Step-by-step explanation:
The perimeter is 22, so we have ...
AB +BC +CA = 22
8 + 5 + CA = 22
CA = 22 -13 = 9
If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.
AB² +BC² = 8² +5² = 64 +25 = 89
This is not the same as ...
CA² = 9² = 81
The triangle is not a right triangle.
_____
Additional comment
If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)
Which is a graph of y=-1/2x- 2?
Answer:
the first one
y-intercept (0,-2)
x-intercept (-4,0)
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
A) Angle 1 and angle 4
B) Angle 5 and angle 4
C) Angle 6 and angle 4
D) Angle 8 and angle 4
Answer:
b.angle 5 and angle 4
Step-by-step explanation:
b.angle 5 and angle 4
Answer:
Step-by-step explanation:
4 of 6
© As an estimation we are told £3 is €4.
Convert €44.80 to pounds.
Give your answer rounded to 2 DP.
What is the answer
Answer- 44.60
Step-by-step explanation:
Solve -1/2 + (3/4 x 4/9) = ?
Answer:
=-1/6
Step-by-step explanation:
-1/2 + (3/4 * 4/9)
3/4 * 4/9 = 12/36
12/36 simplify to 1/3
-1/2 + 1/3 = -1/6
please help and show work if you can
Answer:
25. a = 60
26. a = 17
Step-by-step explanation:
In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure
so we have
25.
[tex]6a+10=130\\\\6a=130-10\\\\6a=120\\\\a=60[/tex]
and for 26 we have
[tex]4a-4=2a+30\\\\4a=2a+30+4\\\\4a=2a+34\\\\4a-2a=34\\\\2a=34\\\\a=17[/tex]
the captain the chief mate the chief engineer walk around the deck of the ship it takes 4 minutes to the captain to circle the deck of the ship chief mate takes 5 minutes chief engineer takes 6 minutes how many minutes will they meet again at starting point
Answer:
60 minutes
Step-by-step explanation:
Step 1
We Find and list multiples of each number of minutes that each person walked around the deck until the first common multiple is found. This is the lowest common multiple.
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
Therefore,
LCM(4, 5, 6) = 60
They would meet again at starting point after 60 minutes
Solve 37+z≤54
then graph the solution
Your answer
Dan bought a soft drink for 4 dollars and 5 candy bars. He spent
a total of 24 dollars. How much did each candy bar cost?
Answer:
The answer is 5
Step-by-step explanation:
I hope this helps
7th grade math please help me will give brainliest
Answer: 67.27
Step-by-step explanation:
7.1 x 7.1 for the square = 50.41
7.1 divided by 2 = 3.55
3.55 x 4.75= 16.86
Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same
Add the 50.41 and the 16.86 and you have your answer!
Answer:
16.86 square units
Step-by-step explanation:
I think this is the answer.
PLEEEAAASE HURRY!!!!!
Answer:
I got you its C babes if you need anything else I can help
Answer:
the answer is
[tex]3 \frac{7}{20} [/tex]
Step-by-step explanation:
hope it helps
What is the equation for the line that passes through the point (9,6) and has a slope of -1
y=1x+9
y=1x+15
Answer:
y=-x+15
Step-by-step explanation:
hope this helps :)
What is the quotient? ?
-22
O
O
11
11
50
O
22.
Answer:
Didn't get it!
write correctly please!
g− 3/7=2/7
solve.
G=?
thx!
Answer: g = 5/7
=======================================================
Work Shown:
Let's move the -3/7 to the other side, to fully isolate g.
We do so by adding 3/7 to both sides (to undo the subtraction)
[tex]g - \frac{3}{7} = \frac{2}{7}\\\\g - \frac{3}{7}+\frac{3}{7} = \frac{2}{7}+\frac{3}{7}\\\\g = \frac{2+3}{7}\\\\g = \frac{5}{7}\\\\[/tex]
Luckily all of the denominators are the same (7), so we can add the fractions by adding the numerators to place that sum over the common denominator.
the equation of line L, is y=5x+1
Answer:
Both lines have a slope of 5, therefore they are parallel lines.
Step-by-step explanation:
The equation of line L₁, is y=5x+1 The equation of line L₂ is 2y-10x+3=0 Show that these two lines are parallel.
As we know, the Parallel lines have equal slopes
The slop intercept form is y = mx + c
Where m is the slope and c is the y-intercept.
Consider the line L₁,
y = 5x + 1 is in the slop intercept form where slope m = 5
Now consider the line L₂.
Write L₂, 2y-10x+3=0 into slope-intercept form
[tex]2y=10x-3[/tex]
[tex]y=5x-\frac{3}{2}[/tex]
The slope of the lines L₂ is m = 5.
Since both lines have a slope of 5, therefore they are parallel lines.
3
.
-2x + 24 + 4x - 4 = 60
Answer:
x=8
Step-by-step explanation:
Evaluate the expression 50 - t when t equals 10, 20, or 25. Then
complete the table to show the values.
50 t
50 -t
50-t
50 -
50 -
50 -
!!
Answer:
[tex](t,50-t) = \{(10,40),(20,30),(25,25)\}[/tex]
Step-by-step explanation:
Given
[tex]Expression: 50 - t[/tex]
Required
Evaluate when:
[tex]t = \{10,20,25\}[/tex]
When [tex]t =10.[/tex]
The expression is:
[tex]50 - t = 50 - 10[/tex]
[tex]50 - t = 40[/tex]
When t = 20
The expression is:
[tex]50 - t = 50 - 20[/tex]
[tex]50 - t =30[/tex]
When [tex]t = 25[/tex]
The expression is:
[tex]50 - t = 50 - 25[/tex]
[tex]50 - t =25[/tex]
The result is:
[tex](t,50-t) = \{(10,40),(20,30),(25,25)\}[/tex]
100 is the answer okay
please answer quickly
Step-by-step explanation:
Supplementary angles add up to 180°. so,
2x+15 + 3x+5 = 180
5x+20=180
Subtract 20 from both sides
5x=160
Divide both sides by 5
x=32
Plug that into 2x+15, F = 64+15 = 79
for 3x+5, G = 96 +5 = 101
PLEASE HELP ME dhdjdbjfjf
Answer:
Option A
Step-by-step explanation:
Since X,Y and Z are on the same line, The gradient is the same so far as the point chosen are on the same line.
Brainliest to right answer!
Answer:
2/3.
Step-by-step explanation:
Sana makatulong
Help please & thanks!
Answer:
D
Step-by-step explanation:
Just add all the number together.
How many moles are in a sample of 4.57 x 1024 atoms of neon (Ne)?
7.59 mol Ne
27.5 mol Ne
91.4 mol Ne
151 mol Ne
Can someone please explain how you divide 4.57 x 10^24 by 6.022 x 10^23?? Thank you
Answer:
151 mol Ne.
Step-by-step explanation:
I did work on Paper sorry if i can't type it, It'll mess it up.
Determine the shortest distance from the point (5, 2) to the line represented by y=2x+1.
Answer:
5 and 6 because it is the nearest
Find the midpoint of CD If C(12, 6) and D(0, 3)
( ? , ? )
Answer:
(6, 4.5)
Step-by-step explanation:
6 if halfway between 12 and 0 and 4.5 is halfway between 6 and 3
i hope this helped :))
Answer:
The anser is (5, 4) oh and thank you for the points, i am very greatful for them
A) SSS
B) SAS
C) Not enough information
D) AAS
Answer:
c
Step-by-step explanation:
i need help please answer for me ... Logan drove from New Orleans to Nashville to visit friends. Logan drove the speed limit which was 60 miles/hour. If Logan's driving time for the trip was 9 hours, how many miles did Logan drive?
Find the slope of the line that passes through the points (-2, 6) and (9, -5).
Answer:
slope = -1
Step-by-step explanation:
Use the slope formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] to find the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, we'll use the points given in the question, (-2,6) and (9, -5). Substitute -2 for [tex]x_1[/tex], 6 for [tex]y_1[/tex], 9 for [tex]x_2[/tex], and -5 for [tex]y_2[/tex]. Then, solve:
[tex]\frac{(-5)-(6)}{(9)-(-2)} \\= \frac{-5-6}{9+2} \\= \frac{-11}{11} \\= -1\\[/tex]
Therefore, the slope is -1.
The slope of the line that passes through the points (-2, 6) and (9, -5) is -1.
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
Given the coordinates of the two points on the graph is (-2, 6) and (9, -5). Therefore, the slope of the line that passes through this point is,
Slope = [6 - (-5)] / [-2 - 9]
Slope = (11) / (-11)
Slope = -1
Hence, the slope of the line will be -1.
Learn more about Slope of Line here:
https://brainly.com/question/14511992
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Please help me ASAP!!
Answer:
First one is 6
Second on is 45
i need help and i need the work shown.
Answer:
step by step below
Step-by-step explanation:
p+7≤16
p +7 - 7≤ 16 - 7
p ≤ 9
7p>-28
7P/7 > - 28/7
p> -4
or
-4 < p ≤ 9