Q2. In a camp food was enough for 400 people for 23 days. If 60 more people joined the camp, find the number of days the food will last?
Q3. Given that y is directly proportional to x and that y= 40 when x= 200, find the value of
(a) y when x= 15
(b) x when y= 8
Q4. If y is inversely proportional to x and that y= 8 when x= 30, find the value of:
(a) the value of y when x= 4
(b) the value of x when y= 360
Answer:
Q2)
We have food for 400 people, and it will last for 23 days.
Then we have an inverse relation, where the number of days decreases as the number of people increases, this means that we have a relationship like:
23 days = K/400 people.
Then we get:
(23 days)*(400 people) = K = 9200 days*people.
Now if we increase the number of people by 60, we get.
people = 460
Then the number of days that this will last is:
D = (9200 days*people)/460 people = 20 days.
The food will last for 20 days.
Q3) We have a proportional relationship (y = k*x) such that y = 40 when x = 200, then we get:
40 = k*200
With this, we can find the value of k
40/200 = k = 0.2
Then the proportional relationship is:
y = 0.2*x
a) We need to replace x by 15.
y = 0.2*15 = 3
y = 3
b) We need to replace y by 8.
8 = 0.2*x
8/0.2 = x = 40
x = 40
Q3) y is inversely proportional to x (y = k/x), and y = 8 when x = 30.
Then we get:
8 = k/30
Then the value of k is:
8*30 = k = 240
then the relationship is:
y = 240/x
a) we need to replace x by 4
y = 240/4 = 60
y = 60
b) we need to replace y by 360
360 = 240/x
360*x = 240
x = 240/360 = 0.666...
x = 0.666...
If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? * 1 point
Answer:
25
Step-by-step explanation:
15/6.0=2.5
2.5x4=10
2.5x6=15
10+15=25
10 boys and 15 girls
Answer:
25
Step-by-step explanation:
Let's set up "x" as the total number of students. So now we can set up an equation:
40%x+15=x rewritten as:
.4x+15=x Subtract .4x from both sides will give us:
15=.6x Now divide each side by .6 to be:
25=x Therefore we know there are 25 students in the class.
Make sense?
Eugene can beat two levels every hour how many levels can he completed 3.5 hours
Answer:
~6.5 Levels
Step-by-step explanation:
2 levels every hour = 2:1
we take that ratio and multiply it by 3 for starters:
6 and half of our ratio
basically 6.5
Complete the square to re-write the quadratic function in vertex form:
y = x2 + 72 +6
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Annie wants to create a right triangle with side lengths 12 centimeters, 35 centimeters, and
37 centimeters.
Is this possible? Why or why not?
Yes, because 12 + 35 is not equal to 37.
Yes, because 12? + 352 is equal to 372
No, because 12 + 35 is greater than 37.
No, because 12? + 352 is less than 372.
Answer: yes because 12^2+35^2=37^2
Step-by-step explanation:
The Patel family looks at map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 3 3/4 inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 5 1/4 inches apart on the map. The scale on the map is 1/2 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? Enter your answer in the box
Answer: 72 miles
Step-by-step explanation:
The total distance from Smithville to Clarksville will be:
= 3 3/4 + 5 1/4
= 9 inches
Since the scale on the map is:
1/2 inch = 4 miles
1 inch = 4 × 2 = 8 miles
Therefore, 9 inches will be:
= 9 × 8 = 72 miles
The actual distance that the Patel family will travel by the time they reach Clarksville will be 72 miles.
what is the slope of a line that goes through these 2 points? (-2, 1) (2, -3)
Answer:
-1
Step-by-step explanation:
6 3/5 - 2 4/11=?
Show your work :)
Answer:
4.23636363636 is the ans☺️:)Step-by-step explanation:
Thanku♥️please help marking brainlist
Answer:
-3
Step-by-step explanation:
-9/3=-3
Answer:
-3
Step-by-step explanation:
-3 times 3 equals -9
Teams in the National Football League in America are divided into two conferences: the AFC and the NFC. Some
teams have animals as their mascots, and others do not. The following two-way table displays this data.
How many teams in the AFC have an animal mascot?
teams
Mascot
AFC
NFC
Animal
7
8
Non-animal
9
8
Answer:
7
Step-by-step explanation:
7 teams in the AFC have an animal mascot
Answer:
7 teams
Step-by-step explanation:
The graph says 7 animals under AFC
could you pls find the surface area
Step-by-step explanation:
to find the area of the prism the given formula is,
perimeter× height
2+[tex]2+\frac{3}{4}x=\frac{5}{12}[/tex]
Answer:
x = -19/4
Step-by-step explanation:
Given the equation 2+3/4x = 5/12. We are to find the value of x
2+3/4x = 5/12.
3/4 x = 5/12 - 2
3/4 x = (5-24)/12
3/4 x = -19/12
Cross multiply
3x * 12 = -19 * 4
36x = -76
x = -76/36
x = -19/4
graph 9x+15y=45
help ?
Question 3 of 10
The triangles shown below must be congruent.
600
60
12
12
2010
61°
O A. True
B. False
Using substitution, find the ordered pair (the point) where
both of these equations meet. Include parentheses and no
spaces in your answer.
X=4
3x - y = -1
Answer:
(4,13)
Step-by-step explanation:
Brainleist pls?
23 PTS
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
(image attached)
Which statement best describes the relationship between the positions of the two players?
A) Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
B) Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
C) Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
D) Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answer:
B
Step-by-step explanation:
What is the volume of a cube with an edge length
of 2/3 foot?
Answer:
V= 512 inches or, 42.67 feet
Step-by-step explanation:
So a cube has the same length on all sides so you would multiply length times with times area or V = a^3
So, 2/3 foot is equal to 8 inches so you would do V = 8^3 which would get you the answer,
What is the slope of the line that passes through these two points (10, 20) and (13, 30)?Show your work
Answer:
(y-y1)/(x-x1)=(y2-y1)/x2-x1)
(y-20)/(x-10)=(30-20)/(13-10)
......
now you can easily solve it
Two point form
It takes Evan 6 3/4 hours to mow 3 lawns .It takes him 2 1/3 hours to mow
Answer:
It takes him hours to mow the third lawn
Explanation:
We are given that Evan takes hours to mow Mr. Gals lawn and hours to mow Mrs. Lee's lawn
This means that:
Time taken to mow the two lawns = hours
Now, we are given that the time taken to mow the three lawns is hours
This means that:
Time taken to mow the third lawn = hours
Hope this helps :)
Construct a 95% confidence interval for the true difference in proportions of male and female smokers. Use p1^ for the proportion of men who smoke. Round your answers to three decimal places.
Answer:
ok?
Step-by-step explanation:
If d - 12.6, r=
PLZ HELP I HAAVE TO SUBMIT IN 3 MIN
Answer:
is there a picture to go along with it?
Para embaldosar un salon de 48 metros cubicos de area se han necesitado 375 tablas rectangulares en las cuales un lado medira 8 cm menos que el otro . Encuentra las dimensiones de las tablas.
SHOW YOUR WORK PLS !!!!!!
Answer:X=16*4=64
Soowwwyyy..
4÷5/9 will give brainliest to right answer
Answer:
.0888 repeating
Step-by-step explanation:
4 ÷ 5 ÷ 9 work left to right
Answer:
0.088
Step-by-step explanation:
4÷5/9 = ?
First let's see how much 4÷5 is, you will get the answer as 0.8 or 8/10.
Now, we need to calculate how much 0.8/9 = ? The answer is 0.088.
PLEASE I NEED THE ANSWER NOW 11 POINTS FOR CORRECT ANSWER BRAINLIEST TOO
Answer:
I believe its 3.3m
Step-by-step explanation:
I haven't taken geometry in a few years so sorry if its wrong
Help!! Last one giving 15 points and brainlesit
Answer:
B
Step-by-step explanation:
2-1/2 x 1 x 1/2 = 1-1/4
Answer:
C
Step-by-step explanation:
Multiply 1, 1 1/2, and 1/2 to get your volume
= 1 1/4
Then multiply 1 1/4 by 8 to get your half units
=10
In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65. What ratio represents the cosine of ∠G? ASAP PLS
The value of ratio which represents the cosine of ∠G is,
⇒ cos G = 56/65
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
In ΔFGH,
The measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.
Now, By the formula;
⇒ cos θ = Base / Hypotenuse
Hence, We get;
⇒ cos G = GH / GF
⇒ cos G = 56/65
Thus, The value of ratio which represents the cosine of ∠G is,
⇒ cos G = 56/65
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
Follow the steps below to create an expression:
Start with the variable x
. Multiply by 4
. Add 3
. Multiply by 2
Subtract 7
Please help me out
Answer:
4x+3(2)-7
Step-by-step explanation:
Who is the president of Australia?
Answer:
Queen Elizabeth ll
Step-by-step explanation:
Australia's head of state is Queen Elizabeth II.
Which of the following ordered pairs is a possible solution to the equation y=1/2x+3 ?
a) (0, 3)
b) (1, -2.5)
c) (0, -3)
d) (-1, -2.5)