Step-by-step explanation:
In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions). In an indirect (or inverse) proportion, as one quantity increases, the other decreases. In an inverse proportion, the product of the matching quantities stays the same.
Answer:
Both direct and indirect proportion are a comparison between two quantities (usually with different units).
In a direct proportion, as one quantity increases, the other also increases.
Examples would include:
If you buy more packets, it will cost more money.
If you have further to travel it will take more time.
If more people are to be fed, more food will be need.
If more people are to be transported, more cars/buses are needed.
More petrol is needed for longer distances.
Bigger area of floor will require more tiles/paint/wood.
A longer distance will need more paces to cover.
More dresses to be made will require more material.
In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions).
k
=
x
y
In an indirect (or inverse) proportion, as one quantity increases, the other decreases.
If more people share a task, it will be done in less time.
Travelling at a faster speed means a trip will take less time.
If sugar is packed in smaller packets, more packets will be needed for the same mass.
For the same amount of money, a small parcel can be sent further than a bigger parcel.
If more people are being fed, food will be used up quicker.
For a fixed amount of money, as the price of presents increases, fewer can be bought.
Walking with longer strides means fewer paces are needed.
In an inverse proportion, the product of the matching quantities stays the same.
k
=
x
×
y
A hyperbola is the graph of inverse proportion.
Step-by-step explanation:
, .
all of the following equations are equivalent except? -5 (x - 1 ), -5x + 5, 5 - 5x, (5-5) x
need help please! asap
don't cheat its bad that u are asking answers for your test
Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3 __
2. 4:15 __
3. 3/10__
4. 13/21__
5. 6/16 __
6. 8:11 __
7. 9:20__
8. 11:25__
9. 5/16__
10. 7/12 __
11. 6:13__
12. 4:9__
13. 2:5 __
14. 19/45 __
15. 12/25__
Please make it quick
Answer:
1h b+h boi gate
Step-by-step explanation:
Which equation represents a line that passes through (2,-) and has a slope of 3?
Oy-2 = 3(x + 2)
Oy - 3 = 2(x+)
Oy+ 1 = 3(x - 2)
Oy+ < = 2(x-3)
Help?
The equation of the line is y + 1 = 3(x - 2).
The correct option is (3).
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
The line passes through the point (2, -1)
slope of the given line is 3
By using the slope intercept form of line:
y = mx + c
where m is the slope
c is the y intercept
The line passes through the point (2, -1) so substituting the point in the equation also m = 3
y = 3x + c
-1 = 3(2) + c
c = -7
The equation of the line now can be written as:
y = 3x - 7
y + 1 = 3x - 7 + 1
y + 1 = 3(x - 2)
Hence, the equation of the line is y + 1 = 3(x - 2).
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determine the period of this function
Explanation:
The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.
Let's start at the top at the left most corner. This point has x coordinate of x = 1.
The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.
Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).
2/3 Marks
67 / 138 Marks
If a = -3, find the value of
a) 2a
b) a ^2
c) 3a^2
Answer:
- 6, 9 and 27
Step-by-step explanation:
Substitute a = - 3 into the expressions and evaluate
(a)
2a = 2(- 3) = - 6
(b)
a² = (- 3)² = 9
(c)
3a² = 3(- 3)² = 3(9) = 27
To the nearest penny, what is the price of 3.2 pounds of ham that costs $2.99 per pound?
[tex]\begin{array}{ccll} Lbs&\$\\ \cline{1-2} 1&2.99\\ 3.2&x \end{array}\implies \cfrac{1}{3.2}=\cfrac{2.99}{x}\implies x = (3.2)(2.99)\implies \stackrel{\textit{rounded up}}{x = 9.57}[/tex]
If x < 0 and y < 0, what guadrant is the point (x, y) located
Answer: Third quadrant
This can be written as Q3 or QIII
This quadrant is in the southwest.
===========================================
Explanation:
There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.
The first quadrant Q1 is located in the northeast where x > 0 and y > 0. Both x and y are positive together. An example point from this region would be something like (5,2)The second quadrant, Q2 or QII, is in the northwest. An example point from here is (-5,2). We can see that x < 0 and y > 0.The third quadrant (Q3) is where both x and y are negative. So x < 0 and y < 0. An example point would be (-5,-2). This quadrant is in the southwest.Finally, if x > 0 and y < 0, then we're in the southeast quadrant Q4. An example point is (5,-2)As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.
Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).
What single decimal multiplier would
you use to increase by 9% followed by
6% decrease?
Answer:
1.0246
Step-by-step explanation:
100*1.09 = 109
109*0.94 = 102.46
102.46% = 1.0246
Marlena is one-sixth the age of her mom. If Marlena is 5 years old, how old is her mom?
Answer:
30 years old
Step-by-step explanation:
If marina is one sixth of her mom age, and she is five years old. The multiply five times size to get her moms full age.
Answer:
30 yearsStep-by-step explanation:
Let,
Age of her mom be = x
Age of Marlena
[tex] = \frac{1}{6} x[/tex]
We know that,
Age of Marlena is 5 years
Therefore,
By the problem,
[tex] = > \frac{1}{6} x = 5[/tex]
=> x = 5 × 6
=> x = 30
Hence,
Age of her mother is 30 years (Ans)
exterior angle equation is 3p-15 interior angles are p and p+15
9514 1404 393
Answer:
p = 30
angles 30°, 45°; exterior: 75°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angle:
3p -15 = p + (p +15)
p = 30 . . . . . . . . . . . . . add 15-2p
The interior angles are 30°, 45°; the exterior angle is 75°.
Can someone help me with this math homework please!
Therefore, f(c) = 3c+5
OPTION B is the correct answer
Answer:
(B) f(c) = 3c + 5
Step-by-step explanation:
Since variable "c" is the independent variable, that means in terms of y = mx + b, c would be the variable "x".
So that means to rewrite 6c = 2p - 10, you would solve for p, because p would equal y in the formula.
Use basic algebra to solve for p:
6c = 2p - 10
6c + 10 = 2p
3c + 5 = p
p = 3c + 5 or f(c) = 3c + 5
Hope it helps (●'◡'●)
i need help plzzzz!!!!!! find the area
Answer:
3
Step-by-step explanation:
Area = 1/4 * √(5(5+2√5)) * a^2
Area ≈387.11
because each bag only covers 150 we need 3 bags
Answer:
area = 387 ft^2
3 bags
Step-by-step explanation:
See the picture below.
The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.
The left figure shows half of the triangle. We need to find h, the height of the triangle.
For a regular pentagon, the measure of each interior angle is
(n - 2)180/5 = 108
Half of the angle is 54 deg.
tan A = opp/adj
tan 54 = h/7.5
h = 7.5 * tan 54
h = 10.32 ft
Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2
The pentagon is made up of 5 larger triangles or 10 half triangles.
Area of pentagon = 10 * 38.7 ft^2
Area of pentagon = 387 ft^2
1 bag is good for 150 ft^2.
387 ft^2/150 ft^2 = 2.6
She needs 2.6 bags, so she must buy 3 bags.
Answer: 3 bags
Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?
rounding and estimating
Answer:
Answer:$4.56
Step-by-step explanation:
Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.
54.79-50.23
$4.56
Hope this helps
thank you have a good day !!
A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *
Answer:
80 ft
Step-by-step explanation:
Let the height of the light house be x feet.
[tex] \therefore \: \frac{128}{8} = \frac{x}{5} \\ \\ x = \frac{128 \times 5}{8} \\ \\ x = \frac{640}{8} \\ \\ x = 80 \: feet[/tex]
please help me on this asap
Please help!!
y= 1/2 x + 2
One equation in a system of two linear equations is
shown above. If the system has one solution (x, y),
where x = 2, which of the following could be the
other equation in the system?
A) y = -2x + 4
B) y = -x+ 5
C) y = 2x
D) y = 2x + 1
Answer: B) y = -x+ 5
Step-by-step explanation:
If the x-value in the solution (x, y) is 2, then the y-value is:
[tex]y=\frac{1}{2} (2)+2 = \frac{2}{2} +2=1+2=3[/tex]
So the solution coordinate is (2, 3).
Test each of the answer choices to see if whether the y-value is 3 when the x-value is 2. If it's true, then it could be the other equation in the system.
A) y = -2x + 4
[tex]y = -2x + 4\\\y = -2(2) + 4 = -4 + 4 = 0[/tex]
B) y = -x+ 5
[tex]y = -x+ 5\\y = -(2) + 5 = 5 - 2 =3[/tex]
C) y = 2x
[tex]y=2x\\y=2(2)=4[/tex]
D) y = 2x + 1
[tex]y = 2x + 1\\y=2(2)+1=4+1=5[/tex]
Do you always eat breakfast?
This survey question is bad/biased.
This survey question is good/unbiased.
Answer:
unbias
Step-by-step explanation:
Not asking specific group or person.
This survey question is bad/biased., This survey question is good/unbiased. This survey question is bad/biased. Option A is correct.
A survey is a method of gathering information or data from a group of individuals to understand their opinions, attitudes, behaviors, or characteristics. Surveys typically involve asking questions to a sample of people and collecting their responses.
The quality of a survey question is important to ensure that the data collected is accurate, reliable, and unbiased. A good survey question should be clear, concise, and neutral, avoiding any potential bias or leading the respondent to a particular answer.
In the case of the question "Do you always eat breakfast?", it can be considered a bad or biased survey question because it assumes that the respondent either always eats breakfast or does not. It doesn't provide options or consider other possibilities such as occasionally skipping breakfast or having different breakfast habits on different days. This can lead to inaccurate or incomplete responses, limiting the validity and reliability of the data collected.
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Maths assignment
y^2-36
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a ^2 − b ^2 = ( a + b ) ( a − b )
where
a = y
and
b = 6
( y + 6 ) ( y − 6 )
You are a salaried employee paid semi-monthly. If you make 548,750 annually, what is
your estimated take home per pay?
If semi-monthly means every half a month, then my take home pay is 22864.58333
Answer:
548750/12
approximately 45729
A loan of 28,000 is made at 4% interest, compounded annually. After how many years will the amount due reach 48000 or more?
Answer:
The time is 13.7 years.
Step-by-step explanation:
principal, P = 28000
Rate of interest , R = 4 % annually
Amount, A = 48000
Let the time is t.
Use the formula of the compound interest.
[tex]A = P\times \left ( 1+\frac{r}{100} \right )^t\\\\48000 = 28000\times \left ( 1+\frac{4}{100} \right )^t\\\\1.71 = 1.04^t\\\\log 1.71 = t log 1.04\\\\t =\frac{0.233}{0.017}\\\\t = 13.7 years[/tex]
helppppppppppppp plzzzzz
the answer is in the picture
Someone help me please if you don’t mind
Answer:
x(3x^ x - 2 x - 1)
Step-by-step explanation:
the answer is
x(3x^2 - 2x - 1)
Solving Linear Systems by Elimination Solve each of the following linear systems by elimination, and check the solution a) 0.1a -0.4b = 1.9
0.4a +0.5b = -0.8
Answer:
a = 3 b = -4
Step-by-step explanation:
4 (0.1a -0.4b) = (1.9) 0.4a - 1.6b = 7.6
0.4a - 1.6b = 7.6
- 0.4a +0.5b = -0.8
-2.1b = 8.4
b = -4
0.4a + 0.5(-4) = -0.8
0.4a - 2 = -0.8
0.4a = 1.2
a = 3
Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.
Answer:
25 divided by 5 equals 5
it cost 5 dollars per package
Hope This Helps!!!
YALL I NEED HELP ASAP!!!!! ITS BASIC MATH!!
So i have to multiply and cast out 9s and I know i have the right answer but the casting out 9s part its not falling into place so pls helpppppp
948 x 789 = 747,972
pls help ill brainliest, thnxs, and 5 star rate!!!!! pls
Answer:
Step-by-step explanation:
948 x 789 = 747,972
Find the sum of integers -72, 237, 84, 72, -184, -37
Answer:
100
Step-by-step explanation:
add positive numbers. then subtract the negative numbers.
The Rivera family bought a new tent for camping. The front of the old tent is a triangle with equal sides of 3.2 m and a floor width of 4.8 m. If the new tent is similar in shape to the old tent and has equal sides of 4 m, how wide is the floor of the new tent?
Step-by-step explanation:
what most likely caused the man in the caravan to come to the farmhouse where elisa lived? a.he had lost his dog in the vast,open areas b.he needed to purchase supplies c.the country roads confused him d. he was looking for an adventure
Answer: A. He had lost his dog in the vast, open areas.
Step-by-step explanation:
The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.
In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.
please help! I cant figure this out!