Given:
The equation is:
[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]
To find:
The constant of proportionality.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
We have,
[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]
On cross multiplication, we get
[tex]9x=2y[/tex]
Divide both sides by 2.
[tex]\dfrac{9}{2}x=y[/tex]
Interchange the sides.
[tex]y=\dfrac{9}{2}x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]k=\dfrac{9}{2}[/tex]
The constant of proportionality is [tex]\dfrac{9}{2}[/tex]. Therefore, the correct option is B.
Help plz I dont get it
5.(03.05)
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes. (1 point)
OFW - ****
O Rw) -- to ***
O
f(x) -
x + 10
o
f(x) = -
Answer:
f(x)=10-x/4
Step-by-step explanation:
this is the answer
Answer:
he runs for 39 min in 10 kilometres
Step-by-step explanation:
if he runs 10 kilometres
u add 4 10 times add if and u will find 39 min for 10 kilometres running
What is the value of x in the following equation? 11^4x+1= 11^3x-7
Answer:
-8
Step-by-step explanation:
well since the equation has the same base of 11, you can just solve for x as you normally would. so the question becomes:
4x+1 = 3x -7
subtract one from both sides
4x = 3x - 8
subtract 3x from both sides
x = - 8
Answer:
x= -8
Step-by-step explanation:
A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.
Answer:
The cost price = GHc 16.00
Step-by-step explanation:
Selling price = GHC 20.00
Profit Percent = 25%
Cost price = ?
Formula for finding cost price =
[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]
Let's insert the numbers
[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]
So therefore ; the cost price is GHC 16.00
Which expression is equivalent
10’4 x 40
45
A.10’4 x 4’5
B.4’9
C.40’9
D.10’4 x ‘15
Answer:
b
Step-by-step explanation:
2^x=1/32 write down the value of x
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] ) {take both the sides}
[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )
[tex]x=\frac{log(1/32)}{log (2)}[/tex]
[tex]x=-5[/tex]
hope this helps....
Write the standard equation of a circle with center (1, 3) and radius 2
units.
Step-by-step explanation:
The distance between the point anywhere in the circumference of the circle and the centre of the circle is 2,
[tex] \sqrt{(1 - x {)}^{2} + {(3 - y)}^{2} } = 2 \\ 1 - 2x + {x}^{2} + 9 - 6y + {y}^{2} = 2 \\ [/tex]
Therefore the equation of circle is:
[tex] {x}^{2} + {y}^{2} - 2x - 6y + 8 = 0[/tex]
Need help on this question I’m taking this!!
Answer:
A) y=4+x
Step-by-step explanation:
Since the initial amount was 4 gallons, any additional fuel added will be in addition to that.
Aarion is saving $375 to buy a new gaming system. He already has $105 and can earn $30 per week cutting grass, how long will it take him to earn the rest of what he needs?
Answer:
it will take him 9 weeks to earn the rest of what he needs.
Step-by-step explanation:
if he already has $105, then he will need $270 more.
Divide 270 by 30(the amount of money he gets each week) and you will get 9.
- Javid bought 3 pairs of Nike Jordan True Flight sneakers
for $127.59 each. He sold 2 pairs of the shoes at a 28%
markup and the third pair for a 52% increase. What did
he sell each pair of shoes for?
- Harris wanted to purchase a pair of Reebok Liquid Speed sneakers for
$190. The price of the sneakers decreased 10% in value each of the next 2 weeks. Harris said that the shoes were 20% less than their original value after 2
weeks. Is Harris correct?
Please help me with these two. I will mark you as brainly
rectangle what shape
Square
_________________
For what value of x is
896Z15
225 25
11
XV14z? Assume z+0.
Answer: Value of x is, 8
Step-by-step explanation:
Given: ,.....[1]
To find the value of x:
Using exponent rules:
Taking square both sides in [1] we have;
Simplify:
or
Multiply both sides by we get;
Simplify:
or
Simplify:
x = 8
Therefore, the value of x is, 8
15 POINTS FOR WHO WILL ANSWER
You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV
Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank
Which car is faster? And use the graph
Answer:
The 24,003 is the fastest
What is the measurement for b ??
Multiply (3n + 8) by (4n + 2) using double distribution.
Answer:
12n² + 38n + 16
Step-by-step explanation:
(3n + 8)(4n + 2)
12n² + 6n + 32n + 16
12n² + 38n + 16
The probability that Sam will win the 50-yard dash is 85%. What is the probability that Sam will not win the 50-yard dash?
Answer:
15%
Step-by-step explanation:
100 % - 85 % = 15 %
whats 3 plus 4 times 3?
Answer:
3+(4*3)=15.....................
Answer:
21
Step-by-step explanation:
3+4=7
7×3=21
you are going to add 3 and 4.
After adding, you multiply 7by 3
giving yout 21
Suzanne was making lemonade for the school carnival. She had bought 12 1/5 pounds of sugar to use for the lemonade. When she was finished making lemonade, she had 4 4/5 pounds of sugar left over. How much sugar did she use for the lemonade?
Answer:
[tex]7\frac{2}{5}[/tex]
Step-by-step explanation:
According to the Question,
Given, Suzanne was making lemonade for the school carnival. She had bought [tex]12\frac{1}{5}[/tex] pounds of sugar to use for the lemonade & When she was finished making lemonade, she had [tex]4\frac{4}{5}[/tex] pounds of sugar left over.
Thus, the sugar did she use for the lemonade is [tex]12\frac{1}{5} - 4\frac{4}{5}[/tex] .
[tex]\frac{61}{5} - \frac{24}{5}[/tex] ⇒ [tex]\frac{37}{5}[/tex] or [tex]7\frac{2}{5}[/tex] Pounds .Answer:
7 2/5
Step-by-step explanation:
What is an equation of a line that passes through the points (1,8) and (-1, -2)
Answer:
y = 5x + 3
Step-by-step explanation:
Y = mx + b
find the rise/run
in this case [tex]\frac{10}{2}[/tex] or 5
find b or the y intercept
in this case 3
Hope this helps!
What is the probability of student liking music given they already like
Answer:
So so so easy its 1 because all of them like music
Which is equivalent to the expression
(2x = 3x) + (3x + 2x + 3)?
Answer:
add and the take the parathesis out and there you have ur answer
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
I'm going to asume the = was a typo and you intended
(2x + 3x) + (3x + 2x + 3)
Combine like terms
8x + 3
Triangle ABC has angle measrures as shown
(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work
Answer:
[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:
[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]
Solving for [tex]x[/tex]:
[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]
Substitute [tex]x=11[/tex] to solve for angle C:
[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]
Help with this?
find the surface area
Answer:
49.
7×7=49.
Step-by-step explanation:
i did this. hope it helps
Use the drop-down menu to complete the statement. What is 3 ÷ 2 5? To find the quotient, jump groups of
Answer:
2/5
Step-by-step explanation:
Answer:2/5
Step-by-step explanation:
right on edge
help!!
find the area of the figure below
Answer:
395.5917959
Step-by-step explanation:
parallelogram area is 15 x 12
one half circle is 9^2[tex]\pi[/tex]/2
the other is 7.5^2[tex]\pi[/tex]/2
add all together
Can someone please tell me what the equation would be and how I would show it
Answer:
Step-by-step explanation:
3x-4y-15=0
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 3x-4y-15 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y-15 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000
y-intercept = 15/-4 = -3.75000
Calculate the X-Intercept :
When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000
x-intercept = 15/3 = 5
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Hope This Helps!!!
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.
The standard deviation of the data is 100 if round to the nearest whole number.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
The list represents the approximate number of megabytes of data Grace used each month as shown in the table.
To find the standard deviation first we will find the mean:
The sum of the all data given = 9380
The mean X' = 9380/12 (total number of observation = 12)
Now subtract the mean from each sample value such as (X-X') and square it.
Find the sum of it.
The formula for the standard deviation is given:
[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]
Put the ∑(X-X')² = 120866.67 and n = 12
[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]
SD = 100.36 ≈ 100
Thus, the standard deviation of the data is 100 if round to the nearest whole number.
Learn more about the standard deviation here:
brainly.com/question/12402189
Please help and thank you. Brainliest!
Answer:
B) $22 for 4 pounds of cashews.
Step-by-step explanation:
[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]
How can you tell that −10 and −20 are solutions to this inequality, but 10 is not? 3n − 40 < −5n + 8
Step-by-step explanation:
-10 or -20 satisfies the equation.
But when you substitute 10 in:
30-40<-50+8
-10<-42(wrong)
it's wrong
The solutions are −10 and −20 to the inequality 3n − 40 < −5n + 8 because they satisfy the inequality unlike 10.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question as:
3n − 40 < −5n + 8
Rearrange the terms in the above inequality
3n + 5n < 8 + 40
Apply the addition operation in the terms
8n < 48
Divided by 8 into both sides of the inequality
n < 6 ....(i)
Substitute the value of n = 10 in inequality (i),
10 < 6
This is not true, so 10 is not the solution to the given inequality.
Therefore, the solutions are −10 and −20 to the inequality 3n − 40 < −5n + 8 because they satisfy the inequality unlike 10.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ5
Please help me with this
Answer:
zero product property of multiplication
Step-by-step explanation:
step 2 is valid, because for the main expression in step 1 to be true, only one of the 2 factors need to be 0, as
0 × something is always 0.
therefore, it is sufficient to find the values of x that renders the expression of one factor to 0.