Answer:
64 fluid acids=8 cups
Step-by-step explanation:
If the value of y varies inversely with x , which function represents the relationship between x and y if y = 48 when x = 3?
A. Y= 144/x
B. Y= 16/x
C. Y= x/16
D. Y= x/144
Answer:
A. Y = 144/x
Step-by-step explanation:
Inversely means y = 1/x
If y = 48, when x = 3
so 144/3 = 48
Therefore the answer is A
If the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
What is a function?A relation is a function if it has only One y-value for each x-value.
If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.
To find k, we can use the given values of y and x:
y = k/x
48 = k/3
k = 144
Now that we know k, we can write the function that represents the relationship between x and y:
y = 144/x
Therefore, if the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
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Solve these simultaneous equations:
2x + 4y = 38
7x - 4y =7
Answer:
Step-by-step explanation:
Answer:
x=5, y=7
Step-by-step explanation:
2x+4y= 38
+7x-4y= 7
9x= 45
9x/9= 45/9
x=5
2x+4y=38
2(5)+4y= 38
10+4y= 38
-10 -10
4y= 28
4y/4= 28/4
y=7
*ANSWER ASAP* Earth has a diameter of approximately 7926 miles. Determine the volume of Earth.
Answer:
Rounding to the nearest whole number, 49 moons can fit in the earth.
Rounding to the tenth place, 50 moons can fit in the earth.
Step-by-step explanation:
To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.
V = 4/3 π r^3
Earth:
d = 2r
d = 7926 miles
7926 = 2r
3963 miles = r
V = 4/3 π (3963)^3
V = 4/3 π (62240377347)
V = 82987169796π cubic miles
Moon:
d = 2r
d = 2159 miles
2159 = 2r
1079.5 miles = r
V = 4/3 π (1079.5)^3
V = 4/3 π (1257963209.88)
V = 1677284279.83π cubic miles
Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth
82987169796π ÷ 1677284279.83π =
approx 49
A cake weights 900 g. Paul cuts it in 4 pieces. The biggest piece weighs as much as the 3 other pieces weigh together. What is the weight of the biggest piece?
Answer:500 g
Step-by-step explanation:
A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is given by the following exponential
function.
P(t) = 400(1.22)
Find the initial population size.
Does the function represent growth or decay?
O growth O decay
By what percent does the population size change each year?
Answer:
Growth22%Step-by-step explanation:
Given function:
[tex]P(t) = 400(1.22)^{t}[/tex]Initial population size is when t = 0
P(0) = 400(1.22)⁰ = 400(1) = 400The multiple of 1.22 is applied every year, so the ratio of change is:
1.22 = 122% = 100% + 22%This is an exponential growth which represents 22% annual growth.
The function is
y=400(1.22)^tAs per y=ab^x
1.22 is the rate of changeIts growth as it's greater than 1
The percentage increase is
1.22-10.2222%solve each system by substitution y=2x-1. 3x+8y=11
Answer:
x=1, y=1
Step-by-step explanation:
Sub y=2x-1 into 3x+8y=11
3x+8(2x-1)=11
3x+16x-8=11
19x=11+8
19x=19
x=1
Sub x=1 into y=2x-1
y=2(1)-1
y=2-1
y=1
Write an inequality for the statement the temperature is greater than 100°F
Heeeelp me Asp need this
Answer:
False; True; True
Step-by-step explanation:
If the radius is 4, the area of the circle is
pi*r*r = pi * 4 * 4 = 16pi; The second statement is true.
The entire circle's "angle" is 2pi, so the sector takes (2pi/3) / 2pi of it all, equal to 1/3 of the entire circle - hence the area of the sector is
16pi * 1/3 = 16pi/3; the first statement is false
The length of the entire circle is 2 * pi * r = 2 * pi * 4 = 8pi
The sector is 1/3 of that, so 8pi/3; the third statement is true.
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets.
Answer:
3 student tickets and 5 adult tickets
Step-by-step explanation:
help please (no links)
Answer:
She will hire EZ Excavation.
Step-by-step explanation:
For a company EZ Excavation,
Per cubic yards cost of the dirt = [tex]\frac{\text{Total cost}}{\text{Volume of the dirt}}[/tex]
= [tex]\frac{196}{8}[/tex]
= $24.5
Total cost of 40 cubic yards of the dirt = 40 × 24.5
= $980
For second company Happy Hauling service,
Per cubic yard cost of the dirt = [tex]\frac{25}{1}[/tex]
= $25
Cost of 40 cubic yards of the dirt = 40 × 25
= $1000
Budget of the contractor = $1000
Cost of dirt offered by EZ Excavation is in her budget and she is saving $20.
Therefore, she will hire EZ Excavation.
How do you solve an inequality, then verify the solution by subsituting 3 different numbers?
Answer and Step-by-step explanation:
To solve an inequality, you must solve for the variable. Let's look at an example:
4x + 2 > 10
We solve for x by subtracting 2 from both sides, then dividing 4 on both sides.
(Solve as if you were solving a regular equation)
4x > 8
x > 2
We get x > 2 as our inequality.
To plug in 3 values, simply plug in any number that is greater than 2. That would be the solution to the inequality.
If when solving the inequality and you have to divide by a negative, the sign will change. Ex:
-5x > 25
x < -5
To show that the sign should switch, let's solve it this way.
-5x > 25
0 > 25 + 5x Add the 5x to both sides.
-25 > 5x Subtract the 25 from both sides
-5 > x Divide by 5 from both sides.
As we can see, the inequalities turn out to be the same, which is why you flip the sign when you divide.
#teamtrees #PAW (Plant And Water)
Num supermercado vendem-se embalagens de bombons de 500 g. No gráfico de barras abaixo está o resultado da análise do número de bombons existentes em 20 embalagens.
A amplitude deste conjunto de dados é
8
e a amplitude interquartis é
Answer
Step-by-step explanation:
Cody hits a baseball. The highest distance it travels is represented by the ______ of the parabola.
A. Maximum
B. Minimum
C. x-intercept
D. y-intercept
Answer:
A
Step-by-step explanation:
Not B and Not C
Determine if the two triangles are congruent. If they are, state how you know.
Answer:
No, these 2 triangles are not congruent as not even 1 side in the triangles has been marked as equal.
Hence, the answer is f) not enough information.
What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
5. Write an equivalent expression to 1/4 (24x + 7 – 12x).
Answer:
Step-by-step explanation:
The easiest and most proper way to approach this task is to combine like terms inside parentheses: (24x + 7 – 12x) => (12x + 7).
Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7). This is an acceptable answer. There is the option of carrying out the multiplication, which results in
3x + 7/4, which is another acceptable answer.
A child has a box of colored building blocks. He will choose one block without looking. The odds against choosing a blue block are 13/4. What is the probability of choosing a blue block?
Answer:
The answer is "0.2352".
Step-by-step explanation:
Given:
The chance of selecting a odds blue block [tex]= \frac{13}{4}[/tex]
[tex]=\frac{\text{Amount of unfavourable blue block evets} \ (13)}{\text{Amount of unfavourable blue block evets} \ (4)}[/tex]
total number of events are 13+4= 17
Calculating the probability of choosing the blue block
[tex]=\frac{\text{Amount of unfavourable blue block evets} }{\text{Amount of unfavourable blue block evets} } \\\\ = \frac{4}{17} \\\\ =0.2352[/tex]
John has $55 . He buys 6 books. Each book costs the same amount. He now has $10 . Drag expressions to complete the tape diagram shown to model this situation.
Answer:
well each book would cost $7.50
Step-by-step explanation:
If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.
Given:
[tex]h:k=2:5,x:y=3:4,2h+x:k+2y=1:2[/tex]
To find:
[tex]h-x:k-y[/tex]
Solution:
We have, [tex]h:k=2:5[/tex] and [tex]x:y=3:4[/tex].
Let the values of h and k are 2a and 5a respectively.
Let the values of x and y are 3b and 4b respectively.
We have,
[tex]2h+x:k+2y=1:2[/tex]
It can be written as
[tex]\dfrac{2h+x}{k+2y}=\dfrac{1}{2}[/tex]
[tex]\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}[/tex]
[tex]\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}[/tex]
[tex]2(4a+3b)=1(5a+8b)[/tex]
On further simplification, we get
[tex]8a+6b=5a+8b[/tex]
[tex]8a-5a=8b-6b[/tex]
[tex]3a=2b[/tex]
[tex]a=\dfrac{2b}{3}[/tex]
Now,
[tex]h-x:k-y=\dfrac{h-x}{k-y}[/tex]
[tex]h-x:k-y=\dfrac{2-3b}{5a-4b}[/tex]
[tex]h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}[/tex]
[tex]h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}[/tex]
On further simplification, we get
[tex]h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}[/tex]
[tex]h-x:k-y=\dfrac{-5b}{-2b}[/tex]
[tex]h-x:k-y=\dfrac{5}{2}[/tex]
[tex]h-x:k-y=5:2[/tex]
Therefore, the ratio [tex]h-x:k-y[/tex] is [tex]5:2[/tex].
Help plz :)
Determine the measure of each unknown angle using the diagram.
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
What is the total surface area??? Please help me I’m confused
Answer:
136+56 ig
Step-by-step explanation:
A
B
C
D
Help please
what is the distance between -a and a
Answer:
2a
Step-by-step explanation:
-a + a = 0, 0 + a = a. Therefore -a + 2a = a
Apply the Pythagorean Theorem to find the distance between points A and B
The circle graph below shows the results of a survey about the number of TV's in a household. If you surveyed 250 households, how many would you predict to have 3 TV's?
Answer: answer
Step-by-step explanation: joe nuts
help help
Prove the following:
[tex] \sf\frac{ \tan( \theta) }{1 - \cot( \theta) } + \frac{ \cot( \theta) }{ 1 - \tan( \theta) } = \sec( \theta) \cdot \: \csc( \theta) + 1[/tex]
[tex]\text{note: explanation is obvious}[/tex]
Answer:
the pictures are attachedplease see the explanation in the attached pictureAnswer:
note:[tex]\theta =y[/tex]
Your answer is in the attachment.
we have
siny(cosy-siny)
taking - common from this
-siny(-cosy+siny)
-sin y(siny-cosy)
A bag contains 24 discs.
8 are red and 16 are blue.
One disc is taken out at random and replaced by two of the other colour.
Another disc is then taken out at random and replaced by two of the other colour.
Another disk is taken out at random
Work out the probability that all three discs are taken out red
Answer:
Step-by-step explanation:
8/24 are Red
Pick and return 2
So it will be 7/25
Again pick and return 2
Then it is 6/26
Now multiply the results
8/24 × 7/25 × 6/26 = 7/ 325
The probability that all three discs are taken out of red will be 7/ 325.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that a bag contains 24 discs. 8 are red and 16 are blue. One disc is taken out at random and replaced by two of the other colour. Another disc is then taken out at random and replaced by two of the other colour.
The probability will be calculated as,
Red = 8/24
Pick and return 2 it will be 7/25
Again pick and return 2 then it is 6/26
Now the overall probability will be,
P = 8/24 × 7/25 × 6/26 = 7/ 325
Therefore, the probability that all three discs are taken out of red will be 7/ 325.
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In the school election James ran against Ben for
secretary. James received 75% of the votes. If 240
students voted, how many votes did James
receive?
Please help me give Brain
Answer:168
Step-by-step explanation: