In last weekend's track meet, Lakeland High School had 30 individual-
event placers score a total of 111 points. First-place finishers score 7 points, second-place finishers score 4 points, and third-place finishers score
1 point. The number of first- and second-place finishers was twice the
number of third-place finishers. Find the number of runners that finished in
each place.
Answer:
The number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.
Step-by-step explanation:
Let the no. of runners fished at first place be x
Let the no. of runners fished at second place be y
Let the no. of runners fished at third place be z
We are given that Lakeland High School had 30 individual- event placers
So, x+y+z=30 -----1
First-place finishers score 7 points
So, Total score of x runners = 7x
Second-place finishers score 4 points
So, total score of y runners = 4y
Third-place finishers score 1 point.
So, total score of z runners = z
We are given that 30 individual- event placers score a total of 111 points
So, 7x+4y+z=111 ----2
We are also given that The number of first- and second-place finishers was twice the number of third-place finishers.
x+y=2z ---3
Substitute the value from 3 in 1
x+y+z=30
2z+z=30
z=10
Substitute the value of z in 1 and 2
x+y=20 ----4 and 7x+4y=101 ---5
Substitute the value of x from 4 in 5
7(20-y)+4y=101
140-7y+4y=101
140-3y=101
39=3y
`13=y
Substitute the value of y and z in 1
x+13+10=30
x=7
Hence the number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.
Given these processes: 1. cartilage ossification 2. bony callus formation 3. hematoma formation 4. fibrocartilaginous callus formation 5. remodeIing of woven (spongy) bone into compact bone Which sequence best represents the order in which the processes occur during repair of a fracture?
Answer:
The sequence that best represents the order during repaid of a fracture as as
follows
3. hematoma formation
4. fibrocartilaginous callus formation
2. bony callus formation
1. cartilage ossification
5. remodeling of woven (spongy) bone into compact bone
Step-by-step explanation:
When a bone is fractured, the first step following a bone fracture is hematoma formation.
Hematoma formation is formed when a little blood escapes from the blood vessels and remains in the skin's thickness, creating a blue spot. The hematoma is an effusion of blood that occurs deeper under the skin.
From there, the formation of tissues begins from end to end of the broken bones. It is a reorganization of the bone tissue (the bone itself), allowing the consolidation of a fractured bone. This bone formation welds the two parts of the broken bone together for a particular period depending on the patient's bone tissue condition. This bone callus will form in two episodes.
1) There first appears a fibrocartilaginous callus, also called connective callus, which allows the fracture to heal in a few weeks. It is an immature bone.
2) In a second step, this immature bone is gradually replaced by another bone (calcified/bony) resembling the bone which has been fractured.
From there, the ossification of the callus occurs where the bony callus is further replaced by woven spongy bones to form a stronger stabilizing collar.
Finally, the remodeling of woven (spongy) bone into compact bone takes place. Lamellar bones are replacing these woven spongy bones.
3. During one day in a hardware store, 37 people came in and made a purchase, and 13 people
looked around but didn't purchase anything. Express the following in ratios:
a. Purchasers to nonpurchasers
b. Nonpurchasers to purchasers
c. Purchasers to total customers
d. Nonpurchasers to total customers
Answer:
i think the answer is A
Step-by-step explanation:
y=x/2+5 what is the slope of the equation?
Answer:
1/2
Step-by-step explanation:
the equation of a function/line is y=mx+b where
b is the y intercept
x is the slope
y=x/2+5 is the same as y=1/2x+5
kenji buys 3 yards of fabric for $7.47. Then he realizes he need 2 more yards, How much will the extra fabric cost?
Martina begins a five at sea level. She dives down 20 feet, and then rises 7 feet. She dives again, going down 9 more feet. How far below sea level is Martina?
Answer:
22 feet belowStep-by-step explanation:
Total down 20+9=29Total up =7Net = 29-7=22feet[PLEASE ANSWER ASAP, ON TIME LIMIT!] The pH level of a substance can be determined by the formula pH = –log[H+], where [H+] is the hydrogen ion concentration in moles per liter. An alkaline substance has a pH level between 7 and 14. Which ion concentration corresponds to an alkaline substance?
Answer choices in picture.
Answer:
Option (2)
Step-by-step explanation:
pH level of a substance is determined by the formula,
pH = - log[H+}
where [H+] is the hydrogen ion concentration
Let the [H+] ion concentration = a
a = -log[H+]
log[H+] = -a
[H+] = 1 × [tex]10^{-a}[/tex]
Here 'a' is between 7 and 14.
Which means an alkaline substance must have the concentration between [tex]1\times 10^{-7}[/tex] to [tex]1\times 10^{-14}[/tex].
From the given options, [tex]5\times 10^{-12}[/tex] moles per liter lies in the given range.
Therefore, Option (2) will be the answer.
Answer:
B
Step-by-step explanation:
Edg2020
Help please! Please!
Which expression is equal to (x/2) (x+2/3)
Answer:
If is in that form (the blue part ) ,then the answer is that one
Alice is making a gold necklace. The length of the chain is
30 inches. She adds a 0.31-inch clasp to the end of the
chain. What is the total length of the completed necklace?
Answer:
30.31 inches.
Step-by-step explanation:
Simplify 5 square root -48^14
Answer:
20b^7 sqrt(-3)
I NEED HELP PLEASE!!!
Answer:
13 seconds
Step-by-step explanation:
Since distance is directly proportional to time,
distance = time * a constant
Lets make A the constant
So, 54 = 9A
A = 6
Now, since distance = 78,
78 = time * A
From above, we can see that A = 6, so
78 = time *6
time = 13
Answer:
13
Step-by-step explanation:
54/9=6, 6 is the rate at which the car travels. 78/6 is 13 so that is how far the car traveled
Which of the following are true statements about any regular polygon? Check all that apply.
Answer:
A regular polygon has these characteristics:
3 or more sidesClosed shapeA polygon can not have one or two sides because that would be a line. It must have more than three sides, or else it is not a polygon.
A polygon is always a closed shape - it can not be an open shape or else it would not be a polygon, it would be considered an outline.
Hope this helps you!
Answer:
the picture below should help
help please !!!!!!!
Answer:
2x^2=80
Step-by-step explanation:
If gallon of paint covers of a wall, then how much paint is needed to cover the entire wall?
Answer:
4 gallons will be needed to paint an entire room
7. There are 40 boys in 7th grade. The number of girls in 7th grade is 30. Carly says
that means the ratio of the number of boys in 7th grade to the number of girls in 7th
grade is 4:7. Is Carly correct? Explain. If not, what is the correct answer?
HELP ASAPP THANKS
Answer:
I'm pretty sure Carly isn't correct.
Step-by-step explanation:
If I'm not mistaken, the ratio would be 4:3....
If I'm wrong, go ahead, sue me.
Solve the following inequality algebraically.
| x-8 | > 4
Answer:
x>12
This is the answer
Write the linear equation between the points: (-4, 5) and (0, -2)
a
b
y=7/4x+2
y=-7/4x-2
y=-4/7x-2
y=4/7x-2
C С
d
Answer:
Hey there!
Slope: 7-3/1-(-1), which is equal to 4/2, or 2.
Point slope: y-7=2(x-1)
So choice B is correct.
Step-by-step explanation:
there are 454 grams in a pound there are 16 ounces in a pound how many grams are in a ounce
Answer:
28.3495
Step-by-step explanation:
Answer:
28.3495 or 28 grams
Step-by-step explanation:
I looked it up.
lev buys a drink of $3.05 and a slice of a pizza for $5.40 he now has $12.37 let how much money did teddy have to begin with
Answer:
12.37 + 5.40 + 3.05 = $20.82
(Help me with this test question) Lines l and m are intersected by transversal t and l || m. Lines l and m are vertical with l to the left of m. Transversal t intersects them both slanting down and right. The angles formed above t with l and m from left to right are angles 1, 3, 5, and 7. The angles formed below t with l and m from left to right are angles 2, 4, 6, and 8. Select all the angles that are supplementary to ∠1. Group of answer choices ∠3 ∠4 ∠6 ∠5 ∠7 ∠8
Answer:
∠6 and ∠7
Step-by-step explanation:
To be complementary, they both in total have to sum 180°, and that mean that they have to form a com pleat and straight line. ;)
The supplementary angles of angle 1 are angles 2 and 3.
Two Angles are Supplementary when they add up to 180 degrees.From given figure,
It is observed that sum of angles 1 and 2 is equal to 180 degrees.The sum of angles 1 and 3 is equals to 180 degrees.[tex]\angle1 +\angle2=180\\\\\angle1 +\angle3=180\\[/tex]
Thus , the supplementary angles of angle 1 are angles 2 and 3.
Find out more information about the supplementary angles here:
https://brainly.com/question/12919120
HELP ME HELP ME PLEASEEE
!!!!!!!!!
Answer:
I belive so it is
The slope: 3/2
The y-intercept: (0,9)
Step-by-step explanation:
PLEASE HELP!! What is it? Disagree or agreee
Answer:
i would disagree
Answer:
I would agree
Step-by-step explanation:
NEED HELP ASAP
The figure is reflected across line m and then reflected across line n. What is the resulting transformation?
reflection
glide reflection
rotation
translation
Answer:
A.)
Step-by-step explanation:
Answer:
i think translation
Step-by-step explanation:
or matbe reflection
On Monday morning Sergio Pappas had $14.78 in cash. During the week he earned $45.00 for cutting lawns and $35.75 for yard work, and he spent $25.23 on food and $22.12 on gas.
# Problem Solution
a. What were Sergio’s total earnings for the week?
b. What total amount did he have to spend during the week?
c. What was his balance at the end of the week?
Answer:
A- 95.53 $ B- 47.35 $ C- 48.18 $
Step-by-step explanation:
45.00+35.75=80.75 (The money Sergio Pappas earned by working.) 80.75+14.78=95.53 (Sergio Pappas money earned by working + initial money.)25.23+22.12=47.35 (Total money lost by Sergio Pappas.)95.53-47.35=48.18 (Total money left by Sergio Pappas over the weekend.)I tried to explain and help as best I could. I hope you understand. Good luck!
Answer:
A- 95.53 $ B- 47.35 $ C- 48.18 $
Step-by-step explanation:
Determine the y-intercept of the following parabola:
y = 3x2 - 12x - 5
Answer:
-5
Step-by-step explanation:
Find the y-intercept by plugging in x = 0:
y = 3x^2 - 12x - 5
y = 3(0^2) - 12(0) - 5
y = 0 - 0 - 5
y = -5
(0, -5)
Find the result when 90 is decreased by 85%.
Answer:
13.5
Step-by-step explanation:
100 - 85 = 15
90 x 0.15 = 13.5
What is (1x2)+85+2.86 divided by 8?
show work
Answer:
89.86
Step-by-step explanation:
1 x 2 = 2
2 + 85 = 87
87 + 2.86 =
89.86
write the next three terms of the sequence.
Answer:
25, 34, 43
Step-by-step explanation:
-11 + x = -2, -11 + 9 = -2 -2 + x = 7, -2 + 9 = 7, 7 + 9 = 16 -2 - x = -11, -2 - 9 = -11 7 - x = - 2, 2 + x = 11, 11 - 2 = 9, 9 = x 7 - 7 = 0 - 2 = -2, 7 + 2 = 9, 7 - 9 = -2
16 + 9 = 25, 25 + 9 = 34, 34 + 9 = 43
J'espère que cela pourra aider : )
Parker is working two summer jobs, making $11 per hour lifeguards and $22 per hour tutoring. Last week Parker worked a total of 16 hours and earned a total of $242. Determine the number of hours Parker worked lifeguarding last week and the number of hours he worked tutoring last week
Answer:
lifeguarding: 6 hours
tutoring: 10 hours
Step-by-step explanation:
First, to be able to tell apart the two jobs, use the variable x and y for them. use x for lifeguarding and y for tutoring. Since you have the pay per hour, you can create an expression for his pay:
11x + 22y
Then, write a system of equations to be able to find both variables.
If Parker worked a total of 16 hours, then you know that the combined amount of worked hours will be:
x + y = 16
If Parker earned a total of $242, then you know that his combined pay will be:
11x + 22y = $242
Now, you solve the system of equations (IMAGE.A):
First, solve for x:
11x + 22y = 242
11x = 242 – 22y
x = 22 – 2y
Now, plug in the x-value in the other equation:
x + y = 16
22 – 2y + y = 16
22 – y = 16
–y = –6
y = 6
This means that he has worked 6 tutoring hours.
Now, plug in the y-value to find the x-value:
11x + 22y = 242
11x + 22(6) = 242
11x + 132 = 242
11x = 110
x = 10
this means that he has worked 10 lifeguarding hours.
Answer:
10 hours lifeguarding, 6 hours tutoring
Step-by-step explanation:
You mixed it up but your work was right! This is correct because I just had this on a test and got it right. Good LUCK!