Answers
Step-by-step explanation:
“The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.”
Related Questions
Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answers
Answer:
1 game
15/5=3
4-3=1
Hope it helps
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Using a system of equations, it is found that Stefan won 7 games.
In our system, we have that:
x is the number of games Marion won.y is the number of games Stefan won.Marion won five times the difference between the number of games Stefan won and the number four, hence:
[tex]x = 5(y - 4)[/tex]
Marion won 15 games, hence [tex]x = 15[/tex], and:
[tex]15 = 5(y - 4)[/tex]
[tex]y - 4 = 3[/tex]
[tex]y = 7[/tex]
Stefan won 7 games.
A similar problem is given at https://brainly.com/question/19314231
8 times the difference between a number and 6 is equal to 4 times the number.
What is the number?
OA. 12
OB. 4
OC. 16
OD. 48
Answers
Answer:
it's either A (12) or B(4) but I think it's 12
Step-by-step explanation:
if we make it into an equation, we get
8(x-6)=4x
8x-48=4x
-48=-4x
-12=-x
x=12
the reason why it might be 4 as well is if we switch the order
8(6-x)=4x
48-8x=4x
48=12x
x=4
So both of those could be correct, but I'm thinking that because they said between a number and 6, then x goes first, so therefore, I think it is 12
x
y
-3
6
-1
4.
0
3
1
3
3
4
3
6
Answers
Solve the following system of equations. x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
a. x = 1,y = 2,z = 2
b. x= 2,y = 2,z = 1
c. x = 6,y = 2,z = 1
d. x = 13,y = 11,z = -1
Answers
By substitution, we will see that the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
How to solve the system of equations?
Here we have a system of 3 equations:
x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:
x + y + 8z = 16
2x + 7z = 19
x - y + z = 1
Now, I will isolate x on the second equation:
x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z
Now we can replace that on the other two equations:
(9.5 - 3.5*z) + y + 8z = 16
(9.5 - 3.5*z) - y + z = 1
Rewriting the system we get:
y + 4.5z = 6.5
-y - 2.5z = -8.5
Now we can isolate y on the first equation:
y = 6.5 - 4.5z
Replacing that on the other equation we get:
-( 6.5 - 4.5z) - 2.5z = -8.5
-6.5 + 4.5z - 2.5z = -8.5
2z = -8.5 + 6.5 = -2
z = -2/2 = -1
Then the value of y is:
y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11
And the value of x is:
x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13
So the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
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Select two ratios that are equivalent to 2:9
Choose 2 correct answers
Answers
Answer:
4:18 and 6:27
Step-by-step explanation:
Jace and his children went into a bakery and he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. He bought twice as many cookies as brownies. Graphically solve a system of equations in order to determine the number of cookies, x,x, and the number of brownies, y,y, that Jace bought.
Answers
Answer:
(9, 18) (3, 6) Plz correct me if wrong
Step-by-step explanation:
Jace bought 4 cookies and 2 brownies from the bakery.
Let x represent the number of cookies and y represent the number of brownies.
Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:
0.75x + 3y = 9 (1)
Also, he bought twice as many cookies as brownies, hence:
x = 2y
x - 2y = 0 (2)
Solving equation 1 and 2 simultaneously gives x = 4, y = 2
Hence Jace bought 4 cookies and 2 brownies from the bakery.
Find out more at: https://brainly.com/question/16763389
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
Answers
9514 1404 393
Answer:
13 units
Step-by-step explanation:
The distance is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((14 -2)² +(6 -1)²) = √(144 +25) = 13
The distance between the two points is 13 units.
1/2^-2 2^-3 -4^5
What is the value of
for x = 2 and y=-4?
Answers
value of x=2 is-8 and y=-4 is -1024
Solve the equation Only enter the amount. Round to the nearest cent. Twenty tickets cost 182.50 What is the average cost of each ticket?
Answers
Answer:
$9.13
Step-by-step explanation:
A proportional relationship is graphed on the coordinate plane. The line that represents the relationship passes through points (0,0) and (5,10). What is the unit rate of the proportional relationship?
Answers
Answer:
Step-by-step explanation:
HELLPPPP
If you have 2 pieces of spaghetti that have lengths 4 cm and 10 cm, what could be the possible length of a third piece of spaghetti to complete the triangle? cm < x < cm
Answers
Answer:
6 < third side < 14
Third side must be greater than 6 and less than 14
Step-by-step explanation:
A triangle can be formed from 2 sides of any length.
The third side must be longer than the difference of the other 2 sides and
the third side must be less than the sum of the other 2 sides.
(if this question is from k12 lesson check)
$43 shirt; 6% tax Please Help!!
Answers
Answer:
tax is 2.58
Step-by-step explanation:
Answer:
.06 times 43 is $2.53 in tax
Step-by-step explanation:
Conic section
For questions 10 - 11, solve each system. In your work, identify the shape of the graph of each
equation. (5 points each)
(7y2 + x2 = 64
10.
x+y = 4
Answers
Answer:
Step-by-step explanation:
7[tex]y^{2}[/tex]+[tex]x^{2}[/tex]=64x+y=4First, we isolate the variable on the second equation so that we can have an x solution to plug in:
x=-y+4Now, we plug this in to the first equation:
[tex]7(-y+4)^{2} +(-y+4)^{2} =64[/tex]
We can now put the 7 into the parentheses and then square root the equation:
[tex]\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40[/tex]
We then plug this in to the original equation to find x
[tex]x+-40=4\\x=-36[/tex]
This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else
Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of the race? Explain how you solved the problem.
Answers
Answer:
speed = distance / time
Jana's speed is
speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h
NEED HELP! GIVING BRAINLIEST!
Answers
6(1)=6 and so on which shows the total clients.
given the function f(x)= 3^ - 2 what is the value of f (3)
Answers
f(3) = 3^3 - 2 <=>
f(3) = 27 - 2 <=>
f(3) = 25
True or False: The Commutative Property of Addition states that for all expressions a and b , ab = ba.
Answers
According to the Commutative Property of Addition, ab = ba for all expressions a and b: FALSE
What is the Commutative Property of Addition?According to the commutative property of addition, altering the order of addends has no impact on the sum. Here's an illustration: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4. The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers is changed. For instance, 4 + 5 equals 9, and 5 + 4 equals 9.According to the Commutative Property of Addition, rearranging the addends has no impact on the sum.
a+b=b+aTherefore, the statement "according to the Commutative Property of Addition, ab = ba for all expressions a and b" is FALSE
Know more about Commutative Property of Addition here:
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Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
You spent $*blank* this month.
Answers
Answer:
$45
Step-by-step explanation:
x=1.5(30)
x=45
9 correct : 15 questions = 45 correct: q questions
please help me
Answers
Answer: it should be 75
Step-by-step explanation:
9 times 5 is 45 so 15 times 5 should be 75
Please explain the relationship between a hypothesis and an experiment.
Answers
Answer:
A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".
WILL MARK BRAINLIEST!!
Answers
Answer:
only p(x)
Step-by-step explanation:
The others have a restricter domain
Please answer ASAP I have 15 min help
Answers
this means she added before multiplying or dividing
Answer:
32
Step-by-step explanation:
she was supposed to divide and multiply first and then add those answers
6+6+20=32
A flagpole casts a shadow that is 24 ft long at the same time you cast a shadow that is
4.5 ft long. If you are 6 ft tall, how tall is the flagpole?
Answers
Answer:
32 ft tall
Step-by-step explanation:
24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32
A deposit of $225 as an integer
Answers
Answer:
225
Step-by-step explanation:
A deposit is positive, so a deposit of $225 as an integer (number) would be 225I hope this helps!
PLEASEEEE HELPPPPP!!!!!!!
plz don't answer if you don't know because this is a exam
Answers
Answer:
-1.5
Step-by-step explanation:
Ms. Hartt burns 300 calories when she runs for 1 hour. If Ms. Hartt runs 5 hours in a week how many calories would she burn?
Answers
Explanation: 300 x 5 = 1,500
find the surface area of the cereal box of 30x20x5
Answers
Answer:
1700 units squared
Step-by-step explanation:
Answer:
ITS 3000
Step-by-step explanation:
How do I solve this?
Answers
Answer:
The answer is 7.5
Step-by-step explanation:
3x+18=9x−27
3x+18−9x=9x−27−9x
−6x+18=−27
−6x+18−18=−27−18
−6x=−45
−6x /−6 = −45 /−6
x = 15 /2 which is equal to 7.5 as a decimal.
what 0.05% in as a decimal and a mixed number in simplest form
Answers
deimal: 0.05% / 100 = 0.0005
mixed number: 5/10000
A transformation is given by the rule (x,y) → (x +3, y - 8). Which of the following describes the effect of this transformation on an object
A a translation by 8 units left and 3 units up
B a rotation by 90 counterclockwise about the origin
C a translation by 3 units right and 8 units down
D a reflection across the line 2 = 3
Answers
Answer:
3
Step-by-step explanation:
Answer:
C a translation by 3 units right and 8 units down
Step-by-step explanation: This answers the Unit 3 summative assessment N-gen Math