Answer:
Number of students in a student group = 8
Step-by-step explanation:
Let number of student in a student group = x
∴ Kevin lead 150 adults and 6x students
⇒Kevin lead = 150 + 6x
And,
Monica lead 134 adults and 8x students
⇒Monica lead = 134 + 8x
So, the number of students are equal
⇒150 + 6x = 134 + 8x
⇒150 - 134 = 8x - 6x
⇒16 = 2x
⇒x = [tex]\frac{16}{2}[/tex] = 8
∴ we get
Number of students in a student group = 8
Two gym classes are participating in Field Day. One class has 24 students and the other has 27 students. The gym teachers want to divide the students in each class into the largest possible equal groups, with no students left over. If all the groups have the same number of students, how many students are in each group?
Answer:
bilmiyorum, bulamadım.
Solve the proportion Round as necessary to the nearest tenth
Answer:
z=[tex]\frac{9}{2}[/tex]
Other posible answers:
z=4.5
or
z=[tex]4\frac{1}{2}[/tex]
Which equation has infinitely many solutions?
Answer:
C
Step-by-step explanation:
9x+4.5-2x=2.3+7x+2.2
9x-2x+4.5=2.3+7x+2.2
7x+4.5-4.5=7x+4.5-4.5
7x=7x
7x-7x=7x-7x
0=0
an account starts with $500 and is compounded quarterly at 5% interest how much is the account worth after 10 years
Answer:
$1500
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 20%/100 = 0.2 per year,
then, solving our equation
I = 500 × 0.2 × 10 = 1000
I = $ 1,000.00
The simple interest accumulated
on a principal of $ 500.00
at a rate of 20% per year
for 10 years is $ 1,000.00.
4p-2/4*2p+5/2*2/3
PLEASE SHOW THE WORKING
I WILL THANK WHOEVER ANSWERS ME AND MARK AS BRAINLIEST
Help me people please
Answer:
C
Step-by-step explanation:
When the domain is y, the line is always horizontal
X could be anything and the line would still be horizontal because y is 1.5
50 POINTS !!!!!!!!
Which terms can be combined in the expression below? Select three options.
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
-2b, b/12, -0.9b
Step-by-step explanation:
I understand this is late, but hopefully, it'll help someone who needs it, have a good day
Answer:
A Is your answer.
Step-by-step explanation:
24-79/12-2
PLS HELP I DONT UNDERSTAND MATH
1. no
2. No ecause 15 +x or 5 is 20 + the x 20x and its for x even if the 5 was a negetive
HIII! Find Sin D and sin E! Write the answer as a fraction and as a decimal. Round to four decimal places, if necessary! Please help me!
Answer:
[tex]\displaystyle \sin(D)=\frac{28}{53}\approx0.5283[/tex]
[tex]\displaystyle \sin(E)=\frac{45}{53}\approx0.8491[/tex]
Step-by-step explanation:
Remember that sine is the ratio of the opposite side to its hypotenuse:
[tex]\displaystyle \sin(x^\circ)=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
For D, the opposite side to D is 28, and the hypotenuse is 53. Therefore:
[tex]\displaystyle \sin(D)=\frac{28}{53}[/tex]
Or, in decimal form:
[tex]\sin(D)\approx 0.5283[/tex]
Likewise, the side opposite to E is 45, and the hypotenuse is 53. Therefore:
[tex]\displaystyle \sin(E)=\frac{45}{53}[/tex]
And using a calculator:
[tex]\sin(E)\approx0.8491[/tex]
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2015?
Answer:
$112,500
Step-by-step explanation:
Fully factorise 20x + 16.
.
2
-2
✓
2
TT
0
Enter your answer
Answer:
4(5x+4) is the answer
Step-by-step explanation:
..............
four parcels had a weight of 400g. when a fifth parcel was added the mean became 500g. what was the weight of the fifth parcel?
Answer:
900 g
Step-by-step explanation:
Here, we want to get the weight of the 5th parcel
Mathematically, the total
is the mean multiplied by the count
the four parcel weighted 400 g averagely
The mean of this is 400(4) = 1,600 g
Adding the 5th parcel, we have an average of 500 g
This means that the total will be;
500(5) = 2,500 g
the difference in weight is the weight of the 5th parcel
That’s 2500-1600 = 900 g
What is the solution set for −4x − 10 ≤ 2?
A x ≤ −3
B x ≥ −3
C x ≤ 2
D x ≥ 2
helppppppppppppppppppppp
What is this answer this is a little tricky for me
Answer:
the answer is a
Step-by-step explanation:
What is the length of the line?
Choose 1 answer:
Answer:
we can't see a photo what you see
Step-by-step explanation:
If y varies inversely as x and y = 9 when x = 4, find y when x = 6.
Answer: x
=
6
Explanation:
the initial statement is
x
∝
1
y
to convert to an equation multiply by k the constant
of variation
⇒
x
=
k
×
1
y
=
k
y
to find k use the given condition
x
=
4
when
y
=
9
x
=
k
y
⇒
k
=
x
y
=
4
×
9
=
36
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
x
=
36
y
2
2
∣
∣
∣
−−−−−−−−−−−−
when
y
=
6
then
x
=
36
6
=
6
Step-by-step explanation:
Which is the correct way to evaluate the expression 48−(29−17)?
Answer:
37
Step-by-step explanation:
please show working
Answer:
234 cm²
Step-by-step explanation:
area = (base*height) / 2 = (52*9) / 2 = 234
YeS mOrE 9Th GrAdE mAtH (question for smart people)
Answer:
A. 4x+13
Step-by-step explanation:
distribute the 4
(4x+20) -7
4x+13
Answer:
A
Step-by-step explanation:
help i need help i really really need help no cap
The height (h), in feet, of a balloon is calculated by using the equation h equals 3t + 2 where t is the time,in seconds. What is the height of ballon after 30 seconds?
2. 1. Asia's new boat has a cruising speed of 27 miles per hour. At that rate, how long will it take her to travel the 3 miles across Old Hickory Lake?
Answer:Time = 1/9 Hours 0r 0.11111 hours
Step-by-step explanation:
We Know that Speed = Distance / Tim\e
Using the constant rate of the speed given as 27 miles per hour at
Distance = 3miles
Time = Distance / Speed
Time = 3 miles / 27miles per hour = 1/9 hours
write an equation of the line in slope-intercept form slope 1 and y intercept -8
I got 41
Step-by-step explanation:
Symbolab is helpful
2x = 3y + 2
y = -x +6
Answer:
x=4 and y=2
Step-by-step explanation:
2x=3(-x+6) +2
2x= -3x+18 +2
2x= -3x+20
5x=20
x=4
y=-(4) +6
y=2
A dragon can fly 50 feet in 2. Second. About how far can adragon fly in 11 secs
Answer:
275
Step-by-step explanation:
A vehicle travels 180 miles in 4 hours. At this rate, how many miles will the vehicle travel in 6 hours?
Answer:
270 miles
Step-by-step explanation:
Divide 180/4 = 45
45 * 2 = 90
180 + 90 = 270
A vehicle can travel 180 miles in 4 hours, then in 6 hours, the vehicle will travel 270 miles.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the data given in the question,
Distance travelled by the vehicle = 180 miles
Time is taken to travel 180 miles = 4 hours
Distance travelled in 1 hour = 180/4 = 45 miles
Then,
Distance travelled in 6 hours = 6 × 45 = 270 miles.
To know more about arithmetic operations:
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Help ASAP!!
Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the x-axis,
then translate
(x+[?],y+[]).
D
3
-1
0
5
H
G
Answer:
x+6 y+3
Step-by-step explanation:
The translation shows a horizontal shift to the left by 6 units and vertical shift up by 3 units
Reflection of coordinate pointsReflection of any coordinates are mirror images of each other.
The reflection rule of the coordinate over the x-axis is given as:
(x, y) -> (x , -y)
Using the coordinate (-1, 2) on the image on the left and (5, 1) for the coordinate on the right.
Reflecting (-1, 2) over the x-axis is (-1,-2). In order to determine the translation used from (-1, -2) to (5, 1)
(-1+x, -2+y) = (5, 1)
-1 + x = 5
x = 6
-2 + y = 1
y =3
The translation shows a horizontal shift to the left by 6 units and vertical shift up by 3 units
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The radius of a circular clock is 10.5 inches. Which measrement is closest to the circumference of the clock in inches
Answer:
65.9734457254 or 65.97
Step-by-step explanation:
c= pi x diameter
c= pi x (10.5 x 2)
c= pi x 21
= 65.9734457254
Answer:
66 in approx
Step-by-step explanation:
Given data
Radius= 10.5 inches
The circumference is given as
C= 2πr
Substitute
C=2*3.142*10.5
C=65.982
Hence the Circumference is 66 in approx
7x+1/2(x+1/4)=3(6x-9)-8
Answer:
x = 381/24 = 3 29/84
Step-by-step explanation:
7x + 1/2(x + 1/4) = 3(6x - 9) - 8
Use the distributive property to multiply 1/2 by x + 1/4.
7x + 1/2x + 1/8 = 3(6x - 9) - 8
Combine 7x (14/2x) and 1/2x to get 15/2.
15/2x + 1/8 = 3(6x - 9) - 8
Use the distributive property to multiply 3 by 6x - 9.
15/2x + 1/8 = 18x - 27 - 8
Subtract 8 from -27 to get -35.
15/2x + 1/8 = 18x - 35
Subtract 18x from both sides.
-21/2x + 1/8 = -35
Subtract 1/8 from both sides.
-21/2x = -35 - 1/8
-35 is the same as -280/8.
-21/2x = (-280 - 1)/8
Subtract 1 from -280 to get -281.
-21/2x = -281/8
Multiply both sides by -2/21 (reciprocal of -21/2).
x = (-281 * -2)/(8 * 21)
You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).
x = (-281 * -1)/(4 * 21)
Multiply -281 by -1 to get 281.
x = 281/(4 * 21)
Multiply 4 by 21 to get 84.
x = 281/84
Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)
x = 3 29/84
Work check: x is substituted for 281/84 (convenience)
7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8
1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8
1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8
(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8
2118/84 = 3(1686/84 - 9) - 8
2118/84 = 3((1686 - 756)/84) - 8
2118/84 = 3(930/84) - 8
2118/84 = 2790/84 - 672/84
2118/84 = (2790 - 672)/84
2118/84 = 2118/84
So x = 3 29/84 is correct.
A rectangle has length of 80cm and a width 50cm. And a scale factor of 3.5 what is the area in square cm of the dilated rectangle
Answer:
49,000 square cm
Step-by-step explanation:
To get the area of the dilated rectangle, we need the dilated dimensions
We simply multiply the scale factor by the dimensions
we have this as;
3.5 * 50 = 175 cm
and
3.5 * 80 = 280 cm
The area of the dilated rectangle is thus;
280 * 175 = 49,000 cm^2