Answer:
4
Step-by-step explanation:
The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; "5" /"8" of them are seventh graders and "3" /"8" of them are eighth graders. If "4" /"5" of the seventh graders participated in track-and-field day and "7" /"8" of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.
Given that, the total number of students in seventh and eighth grade combined is 584.
The number of students in seventh grade= 5/8 of the total number of students.
[tex]=\frac 5 8 \times 584=365[/tex]
As 4/5 of the total seventh-grade students participated in the track-and-field-event.
So, the number of seventh-grade students participated
[tex]= \frac 4 5 \times 365=292[/tex]
The number of students in the eighth grade 3/8 of the total number of students.
[tex]=\frac 3 8 \times 584=219[/tex]
As 7/8 of the total eighth-grade students participated in the track-and-field-event.
So, the number of seventh-grade students participated
[tex]= \frac78 \times 219=191.625.[/tex]
The number of students must be a counting number, but here, as per the given information, the number of seventh-grade students participated coming out a fractional number, so the given information is incorrect.
Although, as per the given data, the mathematical value of the total number of students participated from both the grade combined
=292+191.625
=483.625 (mathematically)
Again, in real life, the fractional value of the total number of students is not possible.
Answer:
Given that, the total number of students in seventh and eighth grade combined is 584.
Step-by-step explanation:
Given \sqrt{27}+\sqrt{108}
27
+
108
=27^{\frac{1}{2}}+108^{\frac{1}{2}}=27
2
1
+108
2
1
3^{\frac{1}{2}}\cdot9^{\frac{1}{2}}+3^{\frac{1}{2}}\cdot36^{\frac{1}{2}}3
2
1
⋅9
2
1
+3
2
1
⋅36
2
1
3\cdot3^{\frac{1}{2}}+6\cdot3^{\frac{1}{2}}3⋅3
2
1
+6⋅3
2
1
18\cdot3^{\frac{1}{2}}18⋅3
2
1
Answer: I need points sorry that I'm to dumb to answer.
Step-by-step explanation:
17x+45.5=11.5x+425 anwser please
after creating a ratio table if each ratio was simplified will you get the same answer for each?plz help 30 points
Answer:
no that is just impossible to get the same for each
Step-by-step explanation:
Solve -x/3 ≥ 5.
x ≥ 15
x ≤ 15
x ≥ - 15
x ≤ - 15
Apex
Answer:
-x/3 ≥ 5
L.C.M= 3
3 × -x/3 ≥ 5 × 3
-x ≥ 15
-x/-1 ≥ 15/-1
x ≤ -15
SOMEONE HELP ME PLEASE ITS DUE IN 5 MINUTES
each day the school canteen meal can be one of only three things
The probability that it is pizza is 0.3
The probability that it is curry is 0.42
what is the probability of pasta?
Answer:
0.28
Step-by-step explanation:
Pizza is 30%, curry is 42%, so pasta has to be 28%.
What is the slope and y intercept?
Answer:
Slope is 1, or 1/1. The y - intercept is -3, or (0, -3)
Step-by-step explanation:
Just counted the squares on the graph :)
In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 51°F and the low temperature for the same day was 45°F, what is the number of heating degree days? A. 17 B. 48 C. 113 D. 14
Given that,
The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.
Solution,
The high temperature was 51°F and the low temperature was 45°F.
Average of high and low temperatures for the day is given by :
[tex]T=\dfrac{51+45}{2}\\\\T=48^{\circ} F[/tex]
Now using formula :
H = 65 - T
H = 65 - 48
H = 17
Hence, there are 17 heating degree days.
The members of a small town's local arts council are selling raffle tickets. The art council decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive twice as much as the third-place seller. The first-place seller will receive $20 more than second-place seller. How much will each of the top three sellers receive if the profit portion they will share is $200?
Answer:
Profit shall be distributed as :
First seller = $92
Second seller = $72
Third seller = $36
Step-by-step explanation:
Let the first seller be A
Second seller be B
Third seller be C
Let the profit of third price seller C = "x"
Profit of B = 2x
Profit of A = 2x + $20
Total profit received by all of them = $200
$200 = (2x + $20) + (2x) + (x)
$200 = 5x + $20
$180 = 5x
x = $36
Therefore profit for 3rd seller = $36
Profit for second seller = $36 [tex]\times[/tex] 2 = $72
Profit for first seller = $72 + $20 = $92
what is an equation that passes through -1,2 and is parallel to the point 3x+y=3 ?
Answer:
y=3x+5
Step-by-step explanation:
For this you can use the point-slope formula: y-y1=m(x-x1). Since the line we're looking for is parallel, both slopes are equivalent.
First, you have to rewrite the primary equation into standard form, which would rewrite to y=3-3x or y=-3x+3. Then, you can use the information we have in the point-slope formula:
y-(2)=3(x+1)
y-2=3x+3
y=3x+5
Check:
(2)=3(-1)+5
2=-3+5
2=2
Which of the following angles are congruent angles on parallel lines? Select all that apply!
Answer:
Step-by-step explanation:
Several congruent angles are formed.
Vertical angles are formed.
Complementary angles are formed.
Supplementary angles are formed.
Obtuse angles are formed.
1
Question Progress
2/4 Marks
Homework Progress
17/23 Marks
The diagram shows the position of a ship (S) and a marine base (B).
The scale of the diagram is 1 cm represents 10km.
a) Work out the real distance between
the ship and the base.
N
*B
b) Measure the bearing of B from S.
S*
A fishing boat F is 20 km from S on a bearing of 095°.
c) Mark the position of the fishing boat F with a cross (V).
Answer:
a) 35km
b) 070 degrees
Step-by-step explanation:
To get full marks look at what I did for question (c)
You have to use a protractor on letter s and make sure the 0 on the protractor is facing the letter (N). Now check where 90 degrees is and draw a line straight by using the ruler then use the compass as u can see in the photo, where (x) point is on the end of the compass is your answer {make sure the compass is 2cm which means its 20km. Also make sure to align the compass on the line you drawn}
Thank you
Translate the sentence into an equation.
Twice the difference of a number and 5 equals 3.
Use the variable x for the unknown number.
Answer:
I believe it's 2(x-5)=3
the variables x and y are related proportionally. when x = 8,y= 18. find y when x =16
Answer:
When x=16 y=36 (16,36)
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
x= 8 16
y= 18 #
8/16=18/#
#= 16*18/8(property of proportions)= 36 :)
Which is true of the slopes of parallel lines
Answer: slopes will be the same!
Step-by-step explanation:
Answer:
In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line
Step-by-step explanation:
Hurry Please!
A recipe uses 3 eggs for every 8 cups of fiour What is the ratio of eggs to fiour in the recipe? 8 to 3 3/8 3 to 11 8:3
Answer:
3:8
Step-by-step explanation:
como resolver a equação -7. (x-3)=x +5
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]-7(x-3)=x+5[/tex]
Distribute the [tex]-7[/tex] into [tex](x-3)[/tex]:
[tex]-7x+21=x+5[/tex]
Subtract [tex]x[/tex] from both sides of the equation:
[tex]-8x+21=5[/tex]
Subtract [tex]21[/tex] from both sides of the equation:
[tex]-8x=-16[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-8[/tex]:
[tex]x=2[/tex]
_
Check your work by substituting [tex]2[/tex] into the initial equation:
[tex]-7(2-3)=2+5[/tex]
[tex]-14+21=2+5[/tex]
[tex]7=7[/tex]
The answer is correct!
Which equation represents a line parallel to the line shown on the graph?
A.y = 4 x minus 1
B.y = negative 4 x + three
C.y = one-fourth x + 5
D.y = negative one-fourth x minus 1
Answer:
c
Step-by-step explanation:
i took the test
Nicole bought 6 tickets to an indoor water park. She paid a 6% service charge for buying them online. Her total cost was
$165.36
a What equation can be used to model the total cost of the tickets?
6. What was the price of each ticket?
C. How much did Nicole pay in service charges?
Answer:
Step-by-step explanation:
Let each ticket cost x
Answer for Part A
6x + 6% (6x) = 165.36 dollars.
Answer for Part B
6x + 6/100 * 6x = 165.36
6x + 36/100 x = 165.36
6x + 0.36 x = 165.36
6.36x = 165.36
x = 165.36/6.36
x = 26 dollars for each ticket.
Part C
Service charge = 165.36 - 6*26
Service charge = 165.36 - 156
Service charge = 9.36
Debbie's backyard deck cost $56.00 per square meter to build. The deck is 9 meters wide and
9 meters long. How much did it cost to build the deck?
Answer:
$514.00
Step-by-step explanation:
56 x 2 = 112
112 x 4 = 448
448 + 56 - 514
so $514.00 is your answer.
PLZ HELPPPP ME ASAP!!!!
answer: m=1
work:
3/2 + 2m = 7/2
3/2 (-3/2) + 2m = 7/2 (-3/2) subtract 3/2 from both sides
2m = 2
2m/2 = 2/2 divide 2 on both sides
m = 1
What three ratios are equivalent to 5 to 2
Answer:
10:4, 15:6, 20:8
hope that helps.
Thomas can paint 6 sections of a fence in 2 hours. Set up a proportional relationship that shows how long it will take Thomas to paint the entire 30 section fence. How many minutes will it take Thomas to paint the entire fence?
Answer:
3sections for every 1 hour
Step-by-step explanation:
6 sections in 2 hours
6/2 and 2/2
3 and 1
3*10= 30 and 1*10 is 10
30 sections in 10 hours
CORRECT ANSWER WILL GET BRAINLIEST!! ITS A MATH QUESTION!!
Answer: X = -5
Step-by-step explanation:
Answer:
i think it is C
Step-by-step explanation:
write an equation for the translation, y=|x|, 4 units up
Answer:
y=|x|+4
Step-by-step explanation:
Let cos(2x) - cos(x) = 0 where 0° < x <180° what are the possible values of x
Answer:
x= 120°
Step-by-step explanation:
cos(2x)-cos(x)=0
[tex]\Rightarrow 2\cos^2x-\cosx-1=[/tex]0 [as [tex]\cos(2x)=2\cos^2x-1[/tex]]
[tex]\Rightarrow 2\cos^2x-2\cosx +\cosx-1=0[/tex]
[tex]\Rightarrow 2\cos x(\cos x-1) +(\cos x-1)=0[/tex]
[tex]\Rightarrow (\cos x-1)(2\cos x +1)=0[/tex]
[tex]\Rightarrow \cos x-1=0 \;or\; 2\cos x +1=0[/tex]
[tex]\Rightarrow \cos x=1 \;or\; \cos x =-1/2[/tex]
[tex]\Rightarrow x=\cos^{-1}1 \;or\; x =\cos(-1/2)[/tex]
For [tex]x=\cos^{-1}1[/tex] and 0° < x <180°
There is no possible value of x.
For [tex]x =\cos(-1/2)[/tex] and 0° < x <180°
The possible value of x is
x= 120°
Answer:
C/ 0 or 120
Step-by-step explanation:
edge 2020
What does the transformation f(x) = f(x + 4) + 1 do to the graph of f(x)?
The graph of [tex]f[/tex] will be shifted to the left by [tex]4[/tex] units and up by [tex]1[/tex] unit.
(7.74 x 10^7) = (2.58 x 10^4)
Answer:
false
Step-by-step explanation:
Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for every hour driven, and after driving for 4 hours, there were 7 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Victoria's gas tank after tt hours of driving.
Answer:
G = 14 - 1.75(t)
Where G is the number of gallons of gas remaining;
14 represents the amount of gas in gallons in the full gas tank of the vehicle
t is the number of hours
Step-by-step explanation:
Here, we want to write an equation.
We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left
In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons
So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons
Hence, the equation we want to write will be;
G = 14 - 1.75(t)
Linda has had three music lessons this month. They have been on May 3, May 10, and May 17. What date do you think she will have her next music lesson?
Answer:24
Step-by-step explanation:
Each is 7 days a part she dose it every week so just add 7
Answer:
May 24
Step-by-step explanation:
May 3 to May 10 is 7 days or one week
May 10 to May 17 is one week
Linda probably has music lessons every week on the same day
May 17 + one week, or 7 days = May 24
