Answer:
a) y = k/x
7 = k/9
b) y = 3
Step-by-step explanation:
From the question, we are told that:
y is inversely proportional to x.
Mathematically:
y ∝ 1/x
y = k × 1/x
y = k/x
k = Constant of Proportionality
a) work out an equation connecting y and x
To find this Equation,
y = k/x
when y=7 x=9
Hence:
7 = k/9
b) work out the value of y when x=21
We find the value of k first
7 = k/9
k = 7 × 9
k = 63
Hence, the value of y when x=21
y = k/x
k = 63, x = 21
y = 63/21
y = 3
ivy has opened a new bake shop in town, Ivy sells pies for 13$ and spends 1,103 in rent per month . How many pies does Ivy need to sell to make 1,146 in profits this month?
Answer: She needs to sell exactly 173 pies.
Step-by-step explanation: Don't ask me how, but I'll tell you this 1. it wasn't easy and 2. It took me FOREVER. So conclusion- be happy.
What fraction of 250 gallons is 144 L? Give your answer in simplest form. 1 gallon = 45L.
HELP URGENT FUE IN 10 mins
Answer:
0.0128
Step-by-step explanation:
Given that: 1 gallon = 45 L
Then,
x gallons = 144 L
So that,
x gallons = [tex]\frac{144}{45}[/tex]
= 3.2
i.e 3.2 gallons = 144 L.
The fraction of 250 gallons that is 144 L can be determined as;
The fraction = [tex]\frac{3.2}{250}[/tex]
= [tex]\frac{8}{625}[/tex]
= 0.0128
The fraction of 250 gallons that is 144 L is 0.0128.
Check: 250 gallons = 250 x 45
= 11250 L
Fraction required = [tex]\frac{144}{11250}[/tex]
= 0.0128
which value of x is a solution to x³ = 216
A. 6
b.18
c.72
d.108
e.648
Find the value of a and b.
2x + 5y = 9
3x – 2y = 4
x= ?
y= ?
A tree's shadow is 4.8 meters long on level ground, as shown. The angle of elevation from the tip of the shadow to the sun is 50°. Based on this information, what is the approximate height of the tree? Write a trig equation, show your work and pick your answer. A. 3.1 m B. 3.6 m C. 5.7 m D. 7.5 m
The height of the tree is 5.7m
What is angled of elevation?Angle of elevation is the angle between the horizontal line and the line of sight.
Analysis:
The height of the tree and the tree's shadow form a right angle triangle with the line of sight.
let the height of tree be h
tan 50 = h/4.8
h = 4.8 x tan 50
h = 4.8 x 1.191 = 5.7m
In conclusion, the height of the tree is 5.7m
Learn more about angle of elevation: brainly.com/question/88158
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This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty
Answer:
150 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - This is the pond in a shape of a prism, it is completely full of
water. Colin uses a pump to empty the pond. The level goes
down by 20 cm in the first 30 min.
To find - Work put how many minutes Colin has to wait for the pond
to completely empty.
Proof -
Given that,
Height of prism = 1 m
Also,
Base of the prism is trapezium and
Sides of the trapezium are 0.6 m and 1.4 m
Height of trapezium is 2 m
We know that,
Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height
= [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2
= [tex]\frac{1}{2}[/tex]× (2)× 2
= 2 m²
⇒Area of trapezium = 2 m²
Now,
Volume of prism = Area of trapezium × height of prism
= 2 m² × 1 m
= 2 m³
⇒Volume of prism = 2 m³
Now,
Given that the level goes down by 20 cm in the first 30 min
We know
100 cm = 1 m
⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m
⇒20 cm = 20×0.01 m = 0.2 m
⇒The level goes down by 0.2 m in the first 30 min.
Also,
we know that height of water = height of prism = 1 m
So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m
Also,
Volume of Remaining water = Area of trapezium × height
= 2 m² × 0.8 m
= 1.6 m³
⇒Volume of Remaining water = 1.6 m³
Now,
Volume of emptied water = Total Volume - Volume of Remaining water
= 2 m³ - 1.6 m³
= 0.4 m³
⇒Volume of emptied water = 0.4 m³
Now,
0.4 m³ water will be empty in 30 minutes
⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes
⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes
∴ we get
The remaining water is empty in 120 minutes
So,
Total pond is empty in 120 + 30 minutes
⇒Total pond is empty in 150 minutes
On a certain hot summer day, 431 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled to $825.50. How many children and how many adults swam at the public pool that day?
Answer:
the no of children and no of adults swam that day is 73 and 358 respectively
Step-by-step explanation:
Let us assume the no of children and no of adults swam that day be x and y
Now as per the question
The following equations are
x + y = 431
we can write as
x = 431 - y
1.50x + 2y = $825.50
1.50(431 - y) + 2y = $825.50
646.50 - 1.50y + 2y = 825.50
0.5y = 179
y = 358
And x = 431 - 358
= 73
Hence, the no of children and no of adults swam that day is 73 and 358 respectively
Please help me with these questions ..... sorry if it’s a lil blurry
Answer:
1. 8
2. 7
3. 8/3
4. c 27
Step-by-step explanation:
1. Find 1 26/2=13 104/13=8
Just find the unit rate to help you solve
the sum of two rational numbers is -8 1/4. if one of the numbers is -5 2/3, find the other number.
Answer:
-2 7/12
Step-by-step explanation:
Let x represent the unknown number.
x + (-5 2/3) = -8 1/4
Adding 5 2/3 to both sides of the equation tells us ...
x = 5 2/3 -8 1/4 = -2 7/12
The other number is -2 7/12.
_____
The difference can be found as ...
-(8 1/4 -5 2/3) = -(8 3/12 -5 8/12) = -((8 -5) +(3/12 -8/12)) = -(3 -5/12)
= -(2 7/12)
angle relations
A) 73°
B) 149°
C) 163°
D) 31°
Answer:
D
Step-by-step explanation:
those angles are vertical angles so they are congruent.
write an exponential function to describe the given sequence of numbers
2, 4, 8, 16, 32
the correct answer is HIGHLY appreciated, ill give brainliest if its *correct*
Answer:
The next one is 64. Can you mark branliest if it's right?
Answer:
F(x) = x^1 * 2
Step-by-step explanation:
i have 8 boxes of chocolate i eat 3 chocolates from each box i now have 72 chocolates in total
Answer: there were 12 chocolates in each box. (Originally, before any got eaten)
Step-by-step explanation: let x represent the total amount of chocolates in each box.
8x - 3(8) = 72
8x - 24 = 72 add 24 to both sides
8x = 96 divide both sides by 8
X = 12
Answer:
That means you had 48 chocolates in each box
Step-by-step explanation:
Since you eat 3 chocolates from all 8 boxes, you do this:
8 x 3 which = 24
Now since you have 72 chocolates left you do this:
72 - 24 which = 48
So, therefore, there were originally 48 chocolates in each box
(Don't eat so much chocolate lol you could get sick)
15 is 125% of what number
Answer:
12 12 12 is the answer
Step-by-step explanation:
Answer: 12.
Answer:
15 is 125% of 12.
Step-by-step explanation:
Please help answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!
Answer:
Step-by-step explanation:
(4,3) and (6,9)
difference of x-coordinates = 6-4 = 2
difference of y-coordinates = 9-3 = 6
distance between points = √(2²+6²) = √40 = 2√10
What is the area of this shape? ANSWER AS FAST AS YOU CAN!!!!
Answer: 5x4x8x4x5x2x6x8x1
Step-by-step explanation:
Answer:
32 Square centimeters
Step-by-step explanation:
You have to seperate the shape into triangles and rectangles. if you do this, you get 2 identical triangles and 2 different rectangles. one of the rectangles is 8 square cm, the other is 12. you can see that the base of each of the 2 triangles is 3 cm long. 2 halves=1 whole, so the 2 triangles turn into 1 rectangle. therefore, you have to add 12+12+8. That is 32 square centimeters.
Hope my answer helped!
May someone please help me with this :)
Answer:
24
Step-by-step explanation:
6+8=14 14+10=24
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=64°, and RS = 16 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
17.8
Step-by-step explanation:
inQ=
hypotenuse
opposite
=
x
16
\sin 64=\frac{16}{x}
sin64=
x
16
x\sin 64=16
xsin64=16
Cross multiply.
\frac{x\sin 64}{\sin 64}=\frac{16}{\sin 64}
sin64
xsin64
=
sin64
16
Divide each side by sin 64.
x=\frac{16}{\sin 64}=17.8016\approx 17.8\text{ feet}
x=
sin64
16
=17.8016≈17.8 feet
Answer:
17.8
Step-by-step explanation:
PLSS HELP ASAP!! Ava writes each letter of the alphabet on separate note
cards and puts the cards in a hat. How many times
would you expect Ava to pick a letter from her name if she picks a card 50 times, returning the card to the hat
each time?
A about 2 times
B about 4 times
C about 13 times
D about 26 times
Answer:
I think about 2 to 4 times. Sorry if it isn't helpful... O^O
Which property of equality is used to solve LaTeX: -15.75=2.5x− 15.75 = 2.5 x ?
Answer:
any want zo. om. id=2139350377
pass=7neBw6
choose the correct answers !!!!!!!!!! Will mark Brianliest !!!!!!!!!! Please helppp !!!!!!!!!!!!!!!!
Answer:
non the avibe
Step-by-step explanation:
xu x6y8z9vtgkxih 174374t6fivH tin s6d
Answer:
1,3, and 4
Step-by-step explanation:
I can't figure this out, anyone know??!!!
Answer: (a+b)2=9. a2+2ab+b2=9
Step-by-step explanation:
Question 17 of 20
Which of the following is a true statement about functions?
Answer:
D
Step-by-step explanation:
(f of g)(x), the composition of the function f with g is defined as follows: (f g)(x). = f(g(x))
Isaac wants to earn $450 interest
so he will have enough to buy a
new computer. He puts $1000 into
an account and earns 4.5%
interest. How many years will he
need to leave his money in the
account to earn $450 in interest?
A Research company found that 11% of The people That they called agreed to Participate in a survey. If the company called 196 people, about how many would have be expected to participate in the survey?
Answer:
22
Step-by-step explanation:
11% of 196 = 21.56
Divide by 10 and divide by 100. Add them together
You must round this up because you cant really have .56 of a person.
what are 12.95 mins 15.98
Answer:
-3.03
Step-by-step explanation:
12.95 - 15.98 = -3.03
Hope that helps!
Answer: 3.03
Step-by-step explanation:
I did it on a regular calculator if you need to do something like this again.
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Please give me Brainliest
Explain how many cupcakes Jasmine can make if she had 5 1/4 cups of frosting but needs 3/8 cups for each cupcake
Answer:
jasmine can make 14 cupcakes
Step-by-step explanation:
5 1/4 = 5.25
3/8 = 0.375
5.25/0.375 = 14
Task 3:
A frog sitting on a stump 4 feet high hops off and lands on
the ground. During her leap, the frog's height h in feet is
given by the equation h = -0.5d2 + d + 4, where d is the
horizontal distance in feet from the base of the stump.
A: What was the frog's maximum height?
B: How far from the stump did the frog land?
C: What was the frog's horizontal distance
from the log at her maximum height?
Answer:
A. 4.5 ft
B. 4 ft
C. 1 ft
Step-by-step explanation:
If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.
You would need to find the vertex of the parabola. The ordered pairs would be (d, h) instead of the normal (x, y).
A. The maximum height will be the h value of the vertex
B. Let h = 0 and solve the equation for d. That will give you distance from the stump that the frog landed.
C. The distance from the log at the maximum height is the d value of the vertex
So, that is what is needed to be done.
Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2 (discard -2 since a distance cannot be negative)
So the answer to A is 4.5 ft.
The answer to B is 4ft.
The answer to C is 1 ft.
Now, can you find the vertex on your own and can you solve the equation when h = 0? I hope so. OK?
A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The maximum height of the frog,
h = -0.5d²+d+4
dh/dd = -0.5(2d)+1
dh/dd = -d+1
0=-d+1
d = 1
The maximum height will be when the horizontal distance is 1feet from the log.
h = -0.5(1)² + 1 + 4
h = -0.5 + 1 + 4
h = 4.5
Hence, the maximum height of the frog will be 4.5 feet.
B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.
0 = -0.5(d)²+ d + 4
d²-2d-8=0
d²-4d+2d-8=0
d(d-4)+2(d-4)=0
d = 4, -2
Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.
C.) The maximum height will be when the horizontal distance is 1feet from the log.
Learn more about Function:
https://brainly.com/question/5245372
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Sammy and Jean are packing bags of candies for a party. They have 152 candies and want to put 12 candies in each bag. Write a fraction to show how many bags can they fill.
Answer:
You'll be able to 12 & 6/10 of the bags
Step-by-step explanation:
The rounded version is 12 but since there is a decimal you'll then translate it into a fraction I got the answer I did by dividing 152 by 12 then getting the answer of 12.6666~ I translated the decimal into a fraction
Answer:
6/10 I believe :)
Step-by-step explanation:
name the property of: 3x + 2=2 + 3x
PLEASE I NEED HELP ON This Please
Answer:
33
Step-by-step explanation:
The pattern is y = 5x + 8.
So, plugging in 5 for x gives you y = 5(5) + 8 = 33.