Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
The enrollment in 1st period band class went from 20 to 26 in a month. Find the percent change.
Answer: the answer is 4/7 your welcome
2. Mrs Davis bought furniture online. She had to pay 15% in shipping fees. The
items totaled $4,000. How much did the shipping cost?
Answer:
The shipping costed $600.
Step-by-step explanation:
4,000 * 15% = 600
or
4,000 * 0.15 = 600
This hanger is in balance. There are two labeled weights
of 8 grams and 20 grams. The four circles each have
The same weight. What is the weight of each circle, in
grams?
Answer:
3g
Step-by-step explanation:
We know that
20g = 8g + 4 * r
where r is the weight of a single red circle.
20g = 8g + 4 * r
12g = 4 * r
3g = r
135 is 90% of what number
Answer:
150
Step-by-step explanation:
0.90x=135
x=135/0.90
x=150
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
[tex]D.\ (3,\frac{1}{8})[/tex]
Step-by-step explanation:
Given
[tex]y = (\frac{1}{2})^x[/tex]
Required
Points that lies on the above graph
From the given options, only option D lies on the point and the proof is as follows:
[tex]D.\ (3,\frac{1}{8})[/tex]
This means that:
[tex]x = 3;\ y = \frac{1}{8}[/tex]
Substitute [tex]x = 3;\ y = \frac{1}{8}[/tex] in [tex]y = (\frac{1}{2})^x[/tex]
[tex]\frac{1}{8} = (\frac{1}{2})^3[/tex]
[tex]\frac{1}{8} = \frac{1^3}{2^3}[/tex]
[tex]\frac{1}{8} = \frac{1}{8}[/tex]
See that the values at the right and left hand side of the equation are the same.
This means that, [tex]D.\ (3,\frac{1}{8})[/tex] lies on [tex]y = (\frac{1}{2})^x[/tex]
8. In a mock school election 5/7 of the students voted. There are 1095 ballots. Write and solve a equation to find the number of students in the school.
Alright, this is a fairly simple equation if you consider the overall question. As the question states, every 5 of out 7 students voted in the election. This means that five sevenths of all students in the school casted a vote.
Now, what can we do with this information? Well, we know that there were 1095 votes in total. This means that five sevenths of the school who voted represents 1095 students.
Can you see the equation you need to write now? Let's use a simple equation with the variable 's' to represent the total number of students:
[tex]\frac{5}{7}[/tex] * s = 1095
As I elaborated earlier, this equation essentially means "5/7 of the entire student population is 1095 students." Now, we just need to isolate the variable 's' to get our final answer.
To get rid of the denominator, let's multiply both sides by 7:
[tex]\frac{5s}{7}[/tex] * 7 = 1095 * 7
5s = 7665
Finish it off by dividing both sides by 5 to get rid of s's coefficient:
[tex]\frac{5s}{5}[/tex] = [tex]\frac{7665}{5}[/tex]
s = 1533
There are 1533 total students in the school
And that's it! If you have any questions about how I solved it, feel free to ask!
- breezyツ
the inequality sign.
If you multiply or divide both sides of an inequality by a negative number, you must
А
double
reverse
С
subtract
D
add an equal sign to
Tanya coasted down the sidewalk on her bike at a constant speed of 15
meters per second for 20 seconds. The distance she traveled was:
a. 0.75 m
b. 1.3 m
c. 35 m
d. 300 m
multiple choice question pls help mee
Answer:
The answer is D
Step-by-step explanation:
Multiply 24 km by 3.14 (π) and round to the nearest tenth like in the instructions.
a person who is at least 65 years old is considered a senior citizen write an inequality that represents this situation. Let a represent the persons age
A statement is shown. "The square root of x is a number that is non-terminating and non-repeating." Select all of the values of x that make the statement true. A:x=1 B: x=8 C: x=25 D: x=81 E: x=125
Answer:
The values of 'x' they make the statement true are;
B; x = 8
E; x = 125
Step-by-step explanation:
The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"
The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers
A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format
From the options, we have;
A: x = 1, √x = √1 = 1 No fraction, 1 ∉ x
B: x = 8, √x = √8 = 2·√2 Is non-repeating, non-terminating, 8 ∈ x
C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x
D; x = 81, √x = √(81) = 9 ∉ x
E; x = 125, √125 = 5·√5 Is non-repeating, non-terminating, 125 ∈ x.
Am I right please tell me I really NEED IT
Answer:
it would 13
Step-by-step explanation:
19-6=13 there you go
help please!! find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculate the next value.
Area of a triangle = (1/2)*base*height
For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.
5.
First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a and b are the sides of the triangle.
Substituting the given values and rounding to nearest tenth:
[tex]a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0[/tex]
Now that you have the height, you can find the area of the entire triangle.
A = (1/2)*base*height
A = (1/2)*8.8*9.0 = 39.6
6.
Same procedure.
[tex]a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2[/tex]
A = (1/2)*base*height
A = (1/2)*7.6*9.2 = 35.0
What is the value of y? In the coordinate plane below, AABC is similar to ADEF A) 3 B 4 E (-8, 8) -2 D B D 11-2, 2) F(-8, 2) LA (0,0) (40)
Answer:
use the formula y2-y1/x2-x1 in order to find your answer for each coordinate
Step-by-step explanation:
Answer:
ADEF is correct
Step-by-step explanation:
how was ur day
Find the values of x and y. Write your answers in simplest form.
Answer:
y=7
Step-by-step explanation:
x=3
which of the following is a exponential function ?
Each side of a circumscribed equilateral triangle is 16 meters. find the radius if the circle
HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!!!!
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A rectangular prism has a length of 5 meters, a wicin of 6 meses, and a height of 3 mes.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a desimal.
Please help I’ll mark Brainlyest
Step-by-step explanation:
90m^3
v=lwh
5×6×3 = 90m^3
2. Find the slope of the line graphed below!
Remember
Rise
Run
10
Answer:
-1/3
Step-by-step explanation:
HELPPPPPPPP!!!!!!!!!!!!
Answer:
A) True
Step-by-step explanation:
The x values, 1 2 3 can go to the y values B L A
However, if there were two lines at 2 1 2 3 going to any of the y values it would not be a function
Here is a picture explaining it.
Answer:
The answer is True or you could say jast A
3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.
Answer:
A) The unit rate is 2 inches of snow per hour.
&
E) At the same rate 12 inches of snow will fall in 6 hours.
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
did it on usatestprep
To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 65 numbers (1
through 65). The order in which the selection is made does not matter. How many different selections
are possible?
Evaluate 7 with an exponent of -2
Answer:
7 x -7 = -49
Step-by-step explanation:
To solve 7 to the power of -2 we multiply 7 by -7.
(っ◔◡◔)っ ♥ Hope It Helps ♥
The value of 7 with an exponent of -2 is 1/49 .
Given,
7 with an exponent of -2.
Now,
Let us simplify the given statement.
[tex]7^{-2}[/tex] = 1/7²
Value of 7² is 49.
Thus the value of 7 with an exponent of -2 is 1/49 .
Know more about exponent,
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Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7
Answer:
D. x + 2y² - 7
Step-by-step explanation:
it because it has 3 terms
Anybody please help me
A store purchased a chair for $10.00 and sold it to a customer for 50% more than the purchase price. The customer was charged 7% tax when the chair was sold. What was the customer's total cost for the chair? I
Answer:
$16.05
Step-by-step explanation:
50% of 10.00
0.50 x 10.00 = 5.00
10.00 + 5.00 = 15.00
7% of 15.00
0.07 x 15.00 = 1.05
15.00 + 1.05 = 16.05
please help me and explain the ones that are circled
Answer:
Step-by-step explanation:
it mean to figure out what number you had before the % took some of the number away
.............................
Answer:
the last one
Step-by-step explanation:
write an equation for the number 40 is 5 times as many as 8 PLEASE HURRY????
Answer:
40=5×8
Step-by-step explanation:
I think, hope this helps
The equation for the number 40 is 5 times as many as 8 is; 40=5×8
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given that the number 40 is 5 times as many as 8
40 is 5 times as many as 8 means
5×8 = 40
Then the equation will be;
40=5×8
Learn more about solving equations here:
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