Answer
3counselors = 45 students
11counselors = x
Therefore;.
[tex] \frac{11}{3} \times 45[/tex]
45 can be divided by 3 15 times so;
[tex] \frac{11}{1} \times 15[/tex]
[tex]165[/tex]
Therefore; 165 students will be allowed if there were only 11 counselors.
Factor out the greatest common factor for 18x2 + 42x – 12.
Answer:
Step-by-step explanation:
factor the coefficients into primes
18 = 3 * 3 * 2
42 = 3* 2 * 7
- 12 = - 2 * 2 * 3
The primes that are underlined are 2 * 3 which is 6
The primes not in the brackets are what is inside the brackets.
6(3x^2 + 7x - 2)
A point R (-2,5) is mapped to point R',as described by a translation of 6 units to the rights and 7 units down.Mark R' on the coordinate plane.
Answer:
(4, -2)
Step-by-step explanation:
Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;
6 units to the rights is towards the positive x axis
7 units down is towards the negative y axis
R' = (-2+6, 5-7)
R' = (4, -2)
Hence the coordinate point of R' on the plane is (4, -2)
The fabric cost 7cents per square inch. She will only pay for the fabric used to cover the box, even if there is waste or extra. How much money did shyla spend on fabric? Is the box is 7 by 11by 8 inchs
Answer:
Shyla will pay about 63 cents to cover the box
Step-by-step explanation:
Length of the box ( l ) = 7 inches
Width of the box (b) = 11 inches
Height of the box (h) = 8 inches
We can solve this equation by following two simple steps.
1. The first step is to find the total surface area of the box. This is the total area that the decorative fabric will be covering.
We can get this by the following formula:
SA=2( length X width) +2( length X height )+2(height X width)
SA = 2( 7 X 11 ) + 2(7 X 8) + 2 (8 X 11 ) = 442 square inches
2. The second step is to divide the total surface area by the price of the fabric per square inch.
This will be 442 square inches divided by 7 cents per square inch = 63.14 cents
Shyla will pay about 63 cents to cover the box
Nancy's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 54 regular sodas and 6 diet sodas. What percentage of the sodas served were regular?
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 ft, find its area.
The area of the rectangle is 216 square feet
How to determine the area?Let x represents the length and y represents the width.
So, we have:
x = 6y
So, the perimeter is:
P = 2(x + y)
The perimeter is given as:
P = 84
So, we have:
2(x + y) = 84
Divide by 2
x + y = 42
Substitute x = 6y in x + y = 42
6y + y = 42
Evaluate the sum
7y = 42
Divide by 7
y = 6
Substitute y = 6 in x = 6y
x = 6 * 6
x = 36
The area is calculated as:
Area = xy
So, we have:
Area = 36 * 6
Evaluate
Area = 216
Hence, the area of the rectangle is 216 square feet
Read more about area at:
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Can someone help me please
I’ll mark you as a brainliest.
Answer:
He should make the hypotenuse 5 in
Step-by-step explanation:
the pythagorean heoreom states that a^2+b^2=c^2. c is the hypotenuse. You already have a and b, 3 and 4. Plug it in
3^2+4^2=c^2
9+16=c^2
25=c^2
square root each side to isolate
c=5
Find the lateral surface area of the triangular prism shown below. PLS HELP
the measures of the angles in a triangle are in an extended ratio of 1:3:5. Find the measures of the 3 angles.
Answer:
20°, 60°, 100°
Step-by-step explanation:
Let x = measure of angle 1
3x = measure of angle 2
5x = measure of angle 3
Since the sum of the measures of the angles of a triangle is 180,
then x + 3x + 5x = 180
9x = 180
x = 20
3x = 3(20) = 60
5x = 5(20) = 100
Check: 20:60:100 = 1:3:5 and 20 + 60 + 100 = 180
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a =
c =
Answer:
a=8
c=5.5
Step-by-step explanation:
solve simultaneously:
2a + 4c = 38.00
3a + 3c = 40.50
times the first eq. by 3 and the second by 2
6a + 12c = 114
6a +6c = 81
subtract from one another
6a + 12c = 114
-6a +6c = 81
6c = 33
c=5.5
3a + 3x5.5 = 40.50
3a= 24
a=8
Tasha lists all the multiple of 3 from 3 to99. Tony lists all the multiples of 5 from 5 to100. What is the first number that is on both lists? The second.
Answer:
Multiples of 3 = 3, 9Multiples of 5 = 5, 10Step-by-step explanation:
In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.
The second number will be: 3 * 2 = 6
In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.
Second number = 5 * 2 = 10
PLS help!!! PLS help!!! PLS help!!!
true or false When you subtract a negative number from a positive number, the difference is always positive
Answer:
it is false
Step-by-step explanation:
what’s the answer for this please? Thankssss!! Only if you know
Answer:
I Dont know the answer Sorryyyyyyyyyy
Which equation has the greatest rate of change?
A.
y=2x+5
B.
y=x+6
C.
y= -5x+2
D.
y=2/3x+4
What is the acceleration of a BMW i8 Roadster that goes from 0 to 60 mph in 3.8 seconds? a) in mi/h/s and b) in m/s^2
Answer:
I need help with my math problem
Step-by-step explanation:
https://brainly.co m/question/21437269
no space
The scatter plot shows a hiker's elevation above sea level over time. The equation of the trend line shown is y = 8.77x + 686. To the nearest whole number, predict what the hiker's elevation after 145 minutes
Answer:
707 feet above sea level
Step-by-step explanation:
2 hours and 25 minutes is about 2.4167 hours.
Therefore:
y=8.77x+686
y=8.77(2.4167)+686
y=21.1944+686
y=707.1944
So the hiker's elevation will be approximately 707 feet above sea level
Find the measure of arc DB.
25°
96°
118°
146°
Answer:
146°
Step-by-step explanation:
By the property of intersecting tangent and secant outside of a circle.
[tex](5x )\degree = \frac{1}{2} [(25x + 21) \degree - 96 \degree] \\ \\ (5x )\degree \times 2= (25x + 21 - 96) \degree \\ \\ (10x )\degree = (25x + 21 - 96) \degree \\ \\ 10x = 25x - 75 \\ \\ 75 = 25x - 10x \\ \\ 75 = 15x \\ \\ x = \frac{75}{15} \\ \\ x = 5 \\ \\ m (\widehat{DB}) = (25x + 21) \degree \\ \\ m(\widehat{DB} )= (25 \times 5 + 21) \degree \\ \\ m(\widehat{DB} )= (125 + 21) \degree \\ \\ \huge \purple{ \boxed{m( \widehat{DB} )= 146 \degree}} \\ \\ [/tex]
A person on a moving sidewalk travels 24feet the in 7 seconds. The moving side walk has a length of 180 feet. How long will it take to move from one end to the other?
Given:
A person on a moving sidewalk travels 24 feet the in 7 seconds.
The moving side walk has a length of 180 feet.
To find:
Time taken by the person to move from one end to the other.
Solution:
A person on a moving sidewalk travels 24feet the in 7 seconds.
The speed of the person is
[tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed}=\dfrac{24}{7}[/tex]
[tex]\text{Speed}=\dfrac{24}{7}[/tex]
The moving side walk has a length of 180 feet.
[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]
[tex]\text{Time}=\dfrac{180}{\dfrac{24}{7}}[/tex]
[tex]\text{Time}=\dfrac{180}{1}\times \dfrac{7}{24}[/tex]
[tex]\text{Time}=52.5[/tex]
Therefore, the time taken by the person to move from one end to the other is 52.5 seconds.
6x -8 > 34 *
help me pls the answer choice is A.x>4.3
B. x<4.3
C. x>7
D. x<7
Answer:
b
Step-by-step explanation:
find the value of x.
Answer:
x ≈ 55.9°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{29}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{24}{29}[/tex] ) ≈ 55.9° ( to 1 dec. place )
Use the equation to predict the number of students in a school with 120 staff members.
Answer:
Step-by-step explanation:
easy y is 120
Answer:
1020 students
Step-by-step explanation:
We have the equation y = 0.1x + 18
If we have a school of 120 staff members, we can just set y = 120 and solve for the predicted total number of students, x.
120 = 0.1x +18
0.1x = 102
x = 1020 students
There are 8 cans of soda shared equally between 14 people. What fraction of a can of soda does each person receive? (2 points)
a
1\8 can of soda
b
1\14 can of soda
c
8\14 can of soda
d
14\8 can of soda
Answer:
C. 8\14 can of soda
Step-by-step explanation:
Given the following data;
Number of soda = 8 cans
Number of people = 14 people
To find the number of soda each person gets;
[tex] Each \; person = \frac {number \; of \; soda}{number \; of \; people} [/tex]
[tex] Each \; person = \frac {8}{14} [/tex]
Therefore, the fraction of a can of soda each person would receive is 8\14 can of soda.
What is the sum of seven and four
Answer:
Step-by-step explanation:
sevour
Answer:
it will 11 ( eleven ) hope it helps
This is the graph of f(x). What is the value of (2)?
101Y
х
-5
5
5
O A. 16
B. 2.
O C. 8
O D. 4
Answer:
Step-by-step explanation:
f(2) = 4
Segments CD, AB, and FG intersect at point E. Angle FEC is a right angle. Identify any pairs of angles that are complementary.
Answer:
F,D. C,D
Step-by-step explanation:
This is all I know the F and D make a right angle and the C,D make a 360 degree angle.
BRAINLIEST
Plot the following co-ordinates and find the fourth point D to make a square A (-1,3) B (1,-1) C(5,1).
Once you have found the missing coordinate use pythagoras to calculate the length of the sides.
Answer:
Step-by-step explanation:
Example: Solve this triangle
right angled triangle 5 12 c
Start with: a2 + b2 = c2
Put in what we know: 52 + 122 = c2
Calculate squares: 25 + 144 = c2
25+144=169: 169 = c2
Swap sides: c2 = 169
Square root of both sides: c = √169
Calculate: c = 13
What kind of a fraction is 6 1/3?
Answer:
6 1/3 Is a mixed fraction
help!!
What percentage of math students are girls? Round to the nearest whole percent.
Just write the number for your answer.
Answer:
46.4%
Step-by-step explanation:
total maths=28
girls in maths = 13
13/28 x 100 = 46.4 %
A student on the track team runs 45 minutes each day as a part of her training. She begins her workout by running at a constant rate of 8 miles per hour for minutes, then slows to a constant rate of 7.5 miles per hour for minutes.
Which equation describes the relationship between the distance she runs in miles, , and her running speed, in miles per hour?
A:
B:
C:
D:
Answer:
D
Step-by-step explanation:
The basic equation to solve this would be D = RT, which is
D is Distance
R is Rate (speed)
T is time
To find total distance D, we can find individual distances for two legs of the whole.
First Leg:
R = 8
T = a
D = 8a
Based on the data in the table, how many of the next 125 cards the student chooses could be expected to have a number shown on the card that is a multiple of 4?
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation: