Given:
Of the 50 students in the cafeteria, 7 have red hair.
Total number of students = 750
To find:
The proportion that could be used to predict the number of students who have red hair.
Solution:
Let x represent the number of students who have red hair.
The ratio of student having red hair to the total number of students are
[tex]Ratio_1=\dfrac{7}{50}[/tex]
[tex]Ratio_2=\dfrac{x}{750}[/tex]
The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.
[tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex]
Multiply both sides by 750.
[tex]\dfrac{x}{750}\times 750=\dfrac{7}{50}\times 750[/tex]
[tex]x=7\times 15[/tex]
[tex]x=105[/tex]
Therefore, the required equation is [tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex] and the number of students who have red hair is 105.
Julio says, "If you subtract 17 from my number and multiply the difference by -5, the result is
- 70." What is Julio's number?
Answer:
Julio's number is 31.
Step-by-step explanation:
Okay, so -70 divided by -5 is 14.
14 plus 17 equals 31.
If you subtract 17 from 31, you get 14.
Then, if you multiply 14 times -5, you get -70.
The track star runs 100m at a rate of 10.4m/s. How long did it take to run 100m?
0.1 m/s
9.65
1040m/s
0.1s
Answer:
Time, t = 9.615 secs.
Explanation:
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
[tex]Speed = \frac{distance}{time}[/tex] ....equation 1
[tex]Time = \frac{distance}{speed}[/tex] .....equation 2
Given the following data;
Distance = 100m
Speed = 10.4m/s
Substituting into equation 2;
[tex]Time = \frac{100}{10.4}[/tex]
Time, t = 9.615 secs.
Max has 3 textbooks and 2
notebooks in his backpack. The total
weight of his backpack and its
content is 10,5 pounds. Each
textbook weighs 2.5 pounds. Each
notebook weighs 0.25 pound. What
is the weight of Max's empty
backpack?
Answer:
2 pounds
Step-by-step explanation:
An is a mathematical statement that shows two expressions are equal using an equal sign.
No! Because a mathematical statement is actually a statement that is either true or false not a statement that shows two expressions are equal using an equal sign!
Answer:
fix the awser
Step-by-step explanation:
first person to answer gets brainllest A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?
Answer:
Perimeter of the hexagon is 36 units
Step-by-step explanation:
if the length is ten using the information provided you will get a perimeter of 36 for both
Answer:
36
Step-by-step explanation:
Hope it helps :)
Brainliest pls?
Scott wrote the number 39 on the board and said that it was a prime
number because it was an odd number. Is he correct? Explain why
or why not.
Answer please. For money.
x = 21.75 (third option)
lol i accidentally added a comment sorry
which expression has the same value as 9 - (-7)?
Answer:
[tex]9 + 7 = 9 - (-7)[/tex]
Step-by-step explanation:
[tex]9 - (-7) \: is \: same \: as \: (9) + (7)[/tex]
During the summer Frank earned $60 less than three times as much as his brother Fred. Together they earned $1220. How much did they each earn?
Answer:
320, 900
Step-by-step explanation:
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
O left 1 unit, up 5 units
Oright 1 unit, up 5 units
left 2 units, up 2 units
Oright 2 units, up 2 units
Answer:
The translation is left 1 unit, up 5 units ⇒ A
Step-by-step explanation:
Let us revise the rules of translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - kThe vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = [tex]\frac{-b}{2a}[/tex] and k = f(h)
You will use the vertex form to find the translation
∵ g(x) = x² + 2x + 6
∴ a = 1 and b = 2
→ use the rule of h to find it
∴ h = [tex]\frac{-2}{2(1)}=\frac{-2}{2}[/tex]
∴ h = -1
→ Use it to find k
∵ g(h) = k
∴ k = g(-1)
→ Substitute x by -1 in g to find k
∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6
∴ k = 5
→ Substitute the values of h and k in the vertex form above
∴ g(x) = 1(x - -1)² + 5
∴ g(x) = (x + 1)² + 5
→ By using the 2nd and 3rd rules of translation above
∴ f(x) is translated 1 unit to the left and 5 units up
∴ The translation is left 1 unit, up 5 units
The translation that maps the graph is mathematically given as
"The translation as left 1 unit, up 5 units"
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?Translation is simply defined as the communication of the meaning of source content into target-content.
Generally, the equation for the vertex form is mathematically given as
g(x) = x² + 2x + 6
Where
a = 1 and b = 2 and h=-1
g(h) = k
k = g(-1)
k = (-1)² + 2(-1) + 6
k= 1 - 2 + 6
k = 5
In conclusion
g(x) = (x + 1)^2 + 5
Giving the translation as left 1 unit, up 5 units
Read more about Arithmetic
https://brainly.com/question/22568180
7x_____=1 Help pls lol
Answer:
1
Step-by-step explanation:
Answer:
I dont think there an answer to that question can you tell us the options
Are integers rational numbers
Answer:
Yes
Step-by-step explanation:
ALL integers are rational numbers. However, NOT all rational numbers are integers
NEED HELP ASAP!! convert 287 cm to inches
287 centimeters is 112.992 inches
Answer:
112.992
Step-by-step explanation:
divide the length value by 2.54.
what is the measure of <4?
Answer:
i not sure but i think its 125
Step-by-step explanation
60% sure is 125
If m∠1 = 123°, m∠5=123
Answer:
Ayo dood whats the ?
Step-by-step explanation:
Deandra is doing her math homework out of 24 problems total could be completed the first world problems and 1 hour and the last 12 problems in 3 hours what is the unit rate for all 24 problems
A: 4 problems per hour
B: 6 problems per hour
C: 8 problems per hour
D: 12 problems per hour
Answer:
I believe the answer is B. Six problems per hr (hour)
Need to know ASAP thank u!!!
Can someone please help me
Answer:i think 8
Step-by-step explanation:
Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 pm, and travels at 40 miles per hour. The second bus
leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
At what time does the second bus catch up with the first bus?
Answer:
Step-by-step explanation:
When the second bus catches up to the first bus, this means that the distance they have travelled is equal.
So for bus 1, you know it travels at 40 miles per hour.
4pm = 0 miles
5pm = 40 miles
6 pm = 80 miles
7pm = 120 miles
For bus 2, you know it travels at 60 miles per hour
5pm = 0 miles
6pm = 60 miles
7pm = 120 miles.
So you can see that at 7pm, they will both have travelled 120 miles.
If the 16 boys in the classroom are 40% of the class how many students re there in class
Answer: 40 students
Step-by-step explanation: All we need to do is do 16/40 to get 0.4 or 40%. So 100% = 40.
.What is the slope of the line defined by the
equation 3 x-2 y= 10? PLEASE I WILL GIVE BRAINLEST IF CORRECT
Step-by-step explanation:
Multiply 3x-6
Rearrange y=10/3x-6
slope=10/3 x
PLEASE ANSWER ASAP AND ANSWER EVERYTHING SORRY FOR BAD QUALITY WILL MARK BRAINLIEST PLEASE ANSWER SOON
Answer:
1 Angle A is 44, 2 angle A is 20.
~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Equation for 1 is x + 45 + 82 + x + 65 = 180 x = -1 A = 44 Degrees
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Equation for 2 is x + 21 + 130 + x + 31 = 180 x = -1 Angle A = 20 Degree
~~~~~~~~
Bye have a nice day :)
5+4(8n-8)=-1+6 for n
Answer:
n=1
Step-by-step explanation:
5+4(8n-8)=-1+6
5+32n-32=5
5+32n-32=5
-27+32n=5
32n=32
n=1
Answer:
n = 1
Step-by-step explanation:
5 + 4(8n - 8) = -1 + 6
First you have to distribute the 4 leaving the equation to look like this...
5 + 32n - 32 = -1 + 6
Now solve the constants (normal numbers without a variable)
-27 +32n = 5
+27 +27 You have to add 27 to BOTH sides
32n = 32
n = 1
Hope this helps and have a great day!
To which subset numbers does the following number belong?
What Is the slope of the line on the graph?
Answer:
the answer is 4x 5y -5x -4y
Step-by-step explanation:
the area of a iscoles triangle having base 3 cm and length of the equal side is 2cm is
Answer:
please rotate the picture*
The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.
Step-by-step explanation:
let x be the number of adults and y number of childrens
so we have. x+y=100 people
and. 12*x+8*y=1056 dollars
x=100-y
replace 100-y to the second equation
12*(100-y)+8y=1056
1200-12y+8y=1056
1200-4y=1055
1200-1056=4y
144=4y
y=144/4=36
so x=100-y=100-36=64
so in this group were 64 adults and 36 childrens
In this group were 64 adults and 36 children.
What is system of equation ?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
let x be the number of adults and y number of children
so we have. x + y = 100 people
and. 12 × x + 8 × y = 1056 dollars
x=100 - y
replace 100 - y to the second equation
12 × (100 - y) + 8y = 1056
1200 - 12y + 8y = 1056
1200 - 4y = 1055
1200 - 1056 = 4y
144 = 4y
y = 144/4 = 36
so x = 100 - y = 100 - 36 = 64
Hence, in this group were 64 adults and 36 children.
To learn more about system of equations from here
https://brainly.com/question/12895249
#SPJ2
(-6x^2-x)-(-4x^2+10x-1)
will give brainlest and 20 points and please hurry
Answer -10x 2- 11x +1 (2 as a exponent) im not completely sure if its right but i tried
Step-by-step explanation:
EXPRESS 250 AS THE PRODUCT OF ITS PRIME
Answer:
Step-by-step explanation:
2 | 250
5 | 125
5 | 25
5 | 5
1 | 1
250 = 2 × 5 × 5 × 5
It will be nice if you give me brainliest. Good luck!
Which of the following is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?
A)Y = -x + 6
B)Y = x - 2
C)Y = x + 6
D)Y = -x - 2