Answer:
To work this problem out you would do it as if it were just a simple equation
7x-19<16 (you would first have to add 19 to both sides)
7x<35 (then you would divide by 7 to get the variable by itself)
x<5 ( you answer would then be 5)
Step-by-step explanation:
In a school, only 13 out of 15 student participate in a competition.what is the probability of the student who do not makes it to the competition?
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
Number of students participating in the competition = 13.
Total number of students in the school = 15.
Thus ,
the number of students who did not make to this competition =
Total number of students - number of students participated
= 15-13 = 2.
Now ,
probability of the student who do not makes it to the competition
= fraction of students who did not make to this competition from the total number of students .
=[tex]\frac{2}{15}[/tex].
write an equation of the line that passes through (-4, 4) and is perpendicular to the line y=1/2x + 1
Answer:
y-4=-2(x+4)
Step-by-step explanation:
Perpendicular means negative reciprocal of the slope.
y-y1=m(x-x1)
y-4=-2(x-(-4))
y-4=-2(x+4)
The equation of the line that passes through the point (-4, 4) and is perpendicular to the line [tex]y = \frac{1}{2}x + 1[/tex] is [tex]y = -2x - 4[/tex].
To find the equation of the line that passes through the point (-4, 4) and is perpendicular to the line [tex]y = \frac{1}{2}x + 1[/tex], we need to do the following steps:
Determine the slope of the given line:
The slope of the given line [tex]y = \frac{1}{2}x + 1[/tex] is [tex]\frac{1}{2}[/tex].
Find the slope of the perpendicular line:
The slopes of two perpendicular lines are negative reciprocals of each other. Therefore, if the slope of the given line is [tex]\frac{1}{2}[/tex], the slope of the perpendicular line will be [tex]-2[/tex] (since [tex]-1 \div \frac{1}{2} = -2[/tex]).
Use the point-slope form to find the equation:
The point-slope form of a line is [tex]y - y_1 = m(x - x_1)[/tex], where [tex](x_1, y_1)[/tex] is a point on the line, and [tex]m[/tex] is the slope.
Here, the point is [tex](-4, 4)[/tex] and the slope [tex]m = -2[/tex].
Substituting these values into the point-slope form, we get:
[tex]y - 4 = -2(x + 4)[/tex]
Simplify the equation:
Distribute the slope on the right side:
[tex]y - 4 = -2x - 8[/tex]
Add 4 to both sides to solve for [tex]y[/tex]:
[tex]y = -2x - 4[/tex]
Can someone help me with these problems? I'm in k12 and this assignment was in classkick, so if anyone already completed this and can help, please do. I also am going to be asking some more questions, if you can help with those too. Thanks! (Will give brainliest.)
Answer: Domain = { -3 , 6 , 5 , -6}
Range = { 7 , 2 , -1 , -6 }
Step-by-step explanation:
considering the points given
[tex]x_{1}[/tex] = -3 [tex]y_{1}[/tex] = 7
[tex]x_{2}[/tex] = 6 [tex]y_{2}[/tex] = 2
[tex]x_{3}[/tex] = 5 [tex]y_{3}[/tex] = -1
[tex]x_{4}[/tex] = -9 [tex]y_{4}[/tex] = -6
This shows that that is relationship between the values of x and the values of y.
All the values of x represent the domain and all the values of y represent the range.
Therefore :
Domain = { -3 , 6 , 5 , -6}
Range = { 7 , 2 , -1 , -6 }
The sum of 2 consecutive integers is -95 what are they
Answer:
The two integers are -47 and -48.
Step-by-step explanation:
Let the two consecutive integers be [tex]$ (n - 1) $[/tex] and [tex]$ n $[/tex].
Given that their sum is -95.
⇒ (n - 1) + n = - 95
⇒ 2n - 1 = - 95
⇒ 2n = - 94
Dividing by 2 throughout, we get:
n = - 47
⇒ n - 1 = - 47 - 1 = - 48
Therefore, the two integers should be - 47 and - 48.
The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x).
What is the unit rate, expressed in kilometers per minute?
Answer:
[tex]4\dfrac{1}{6}\ \text{kilometers per minute}[/tex]
Step-by-step explanation:
The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x). This graph passes through the point (75,30). This means that in 30 minutes (x = 30), it was traveled 75 kilometers.
To find unit rate, divide the number of kilometers by the number of minutes:
[tex]\dfrac{75}{30}=\dfrac{25}{6}=4\dfrac{1}{6}\ \text{kilometers per minute}[/tex]
22. Sue can paint a chair in 3 hours. Jerry can paint the same size chair in 2 1/2
hours. Working together, how long would it take them to paint 10 chairs?
What are the values of a 1 and r of the geometric series? 1 + 3 + 9 + 27 + 81 a 1 = 1 and r = one-third a 1 = one-third and r = 1 a 1 = 1 and r = 3 a 1 = 3 and r = 1
Answer:
a₁ = 1 and r = 3Step-by-step explanation:
[tex]1+3+9+27+81\\\\a_1=1,\ a_2=3,\ a_3=9,\ a_4=27,\ a_5=81\\\\r=\dfrac{a_{n+1}}{a_n}\Rightarrow r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=\dfrac{a_5}{a_4}\\\\r=\dfrac{3}{1}=\dfrac{9}{3}=\dfrac{27}{9}=\dfrac{81}{27}=3[/tex]
Good evening ,
Answer:
a₁ = 1 r = 3Step-by-step explanation:
Since it’s a geometric series then
a₁ = 1 ( because 1 is the first term of the series)
3/1 = 9/3 = 27/9 = 81/27 = 3 then r=3.
:)
I NEED HELP ASAP!!
Find the value of x in each case:
PU ∩ RT = S, Q ∈ PR
You know that m<TSU=m<PSR because they make a vertical angle pair.
So...m<PSR=4x.
If, m<QSR=3x then m<PSQ=4x-3x=x because they are adjacent.
And, m<PQS=180-68=112 degrees (linear pair).
Now we know all the interior angles in triangle PQS so we can say that...
x+x+112=180 (sum of interior angles in triangle)
2x=68
x=34 degrees
The requried value of x is 34 in each case, as of the given conditions
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
As given in the question,
PU ∩ RT = S, Q ∈ PR
Since the sum of the remote interior angles is equal to the sum of the remote exterior angles.
∠SPQ + ∠PSQ = ∠SQR
∠PSQ = 68 - x
Now, When two lines intersect each other, their alternate angles are equal,
∠TSU = ∠PSR
4x = ∠PSQ + ∠QSR
4x = 68 - x + 3x
2x = 68
x = 34
Thus, the requried value of x is 34.
Learn more about triangles here:
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The solution of a +b > 12 is a > -3. What is the value of b?
Step-by-step explanation:
[tex]a + b > 12 \\ [/tex]
but
[tex] \\ a > - 3 \\ [/tex]
if
[tex]a = - 3 \\ then \: \\ a + b > 12 \\ - 3 + b > 12 \\ b > 12 + 3 \\ b > 15[/tex]
Answer:
its -3
Step-by-step explanation:
What is the area of quadrilateral QRST if QS=18 and RT=24. Show work.
Answer:
[tex]\text{Area of quadrilateral QRST}=216[/tex]
Step-by-step explanation:
Please find the attached image for the quadrilateral QRST.
We have been given that [tex]QS=18 \text{ and } RT=24[/tex]. We are asked to find the area of quadrilateral QRST.
Upon looking at the image of quadrilateral QRST, we can see that quadrilateral QRST is a kite as it has one pair of diagonally opposite equal angles (98 degrees).
We know that area of kite is equal to half the product of its diagonal.
We can see from our image that QS and RT are diagonal of kite, so the area of quadrilateral QRST would be:
[tex]\text{Area of quadrilateral QRST}=\frac{QS\cdot RT}{2}[/tex]
[tex]\text{Area of quadrilateral QRST}=\frac{18\cdot 24}{2}[/tex]
[tex]\text{Area of quadrilateral QRST}=\frac{432}{2}[/tex]
[tex]\text{Area of quadrilateral QRST}=216[/tex]
Therefore, the area of quadrilateral QRST is 216 square units.
Find the equation in slope - intercept form that describes a line through (2,4) with slope 0
Answer:
y=4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=0(x-2)
y-4=0
y=0+4
y=4
88+88+88+88+88+88+88+88 times 88=_________
If somebody creates a question like this for free for 100 points i'll do another one of these and award yo brainliest,
Answer:
It's your friend at school. 8360 is your answer.
Step-by-step explanation:
88 + 88
= 176 + 88
= 264 + 88
= 352 + 88
= 440 + 88
= 528 + 88
= 616 + 88 =
704 x 88
= 8360
Answer:
8,360
Step-by-step explanation:
88 + 88 + 88 + 88 + 88 + 88 + 88 + 88 × 88 is our problem.
Instead of adding all of these 88's together, we will just multiply 88 by 8 because there are 8 of these 88's.
That will leave us with: 704
But that is not our answer.
We still have one more step, and it is to multiply 704 by 8.
After we do that we will have: 8,360 as our answer.
I hope this helps! :>
Which expressions are equivalent to 4(-52 + 2) + (-6) ?
Choose all answers that apply:
203 - 2
2-102 + 1)
None of the above
What is the measure in degrees of 2 show your work explain your answer
Help
Answer:
45 degrees
Step-by-step explanation:
because 2 and 5 are vertical angles they are therefore congruent by definition, 5 is half of one and one is a right angle so measure angle 2 = 45 degrees
Answer:
50
Step-by-step explanation:
The total of all 6 angles make a circle, which equals 360°. Using the information below the figure,
2 * m∠5 = 90°, since 2 * m∠5 = m∠1 and ∠1 is a right angle.
Because ∠1, ∠5, and ∠6 are on one side of line L, they must equal 180°, and if ∠1 equals 90°,
m∠5 + m∠6=90°.
Since 2 * m∠5=m∠1 and m∠1=90°, m∠1 must be 45°. And by Transitive Property, m∠6 also equals 90°.
If the total measure of the angles is 360° and ∠1, ∠5, and ∠6 add up to 180°, ∠2, ∠3, and ∠4 must also add to 180°.
m∠6=m∠3 - 20°. We know that m∠6 is 45°, so we put that into an equation. I am going to use x as the measure of ∠3.
45=x-20 >>> 20+45=x-20+20 >>> 20+45=x >>> 65=x >>> x=m∠3 >>> m∠3=65
m∠3=m∠4, so m∠3+m∠4=65+65, or 130. And like I said above, ∠2, ∠3, and ∠4 must add to 180°. 180 minus 130 (the measure of ∠3 + ∠4) = 50, which has to be the measure of ∠2
Evaluate 2/3x when x=9/4
Answer:
3/2
Step-by-step explanation:
Plug x into the equation.
We get 2/3(9/4)
Multiply the 2 fractions. Final answer, 3/2.
-2x-16+0
Solve for X
Answer:
x = -8
Step-by-step explanation:
-2x-16+0 = 0
Combine like terms.
-2x-16 = 0
Add 16 to both sides (to isolate the -2x from -16)
-2x = 16
Divide both sides by -2 to isolate the x from -2
x = -8
Two different ways to solve 1/4x-5=3/4x-12
Answer:
Step-by-step explanation:
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on the fast train Yvonne and Lisette traveled 760 kilometers in 4 hours what was the trains average rate of speed
Answer:
190 km an hour
Step-by-step explanation:
PLEASE HELP ME ASAP, AND FIND THE LENGTH OF BC
Answer:
BC=16.992
Step-by-step explanation:
Answer:
16.992
Step-by-step explanation:
A company sell earbuds for $17 each. At the end of the week,they have sold $731 worth of earbuds.how many earbuds did they sell? Write and solve an equation to find the answer
Answer:
43 earbuds
Step-by-step explanation:
Let x be the number of earbuds sold over the week
This implies that
1 earbud:$17
x earbud:$731
Writing an equation, we get
[tex] \frac{1}{17} = \frac{x}{731} [/tex]
cross multiplying, we obtain
17x=731
Dividing through by 17,we get
x=43
Lydia's kitchen as about 410 square feet of wall area. One roll of wallpaper covers about 23 square feet. How many rolls of wallpaper will lydia need to paper the walls of the kitchen?
Answer:
410 / 23 = 17.8260869565
Lydia would need about 18 rolls of wallpaper to paper the walls of her kitchen.
Can u guys PLEASE answer this question ASAP using the table below
Becky earns $633.81 for a 40 hour week. Any overtime is paid at double-time.
a) Using the tax schedule below, what is the tax payable on Becky's normal wage?
b) How many hours overtime can she work in a year and still remain in the same tax category?
Answer:
Tax on her normal wage is $ 6755
She can work 176 hours in a year and still remain in the same tax category
Step-by-step explanation:
Becky earns $633.81 for a 40 hour week.
Her normal monthly wage is $ 633.81 *4 = $ 2535.24
Her annual income is $ 2535.2 *12= $ 30,422.88
Tax on her annual income is $30,422.88- $ 20,700= $9722.88
Tax on $ 20,700 is $ 3060
Tax on remaining $ 9722.88 is 0.38*9722.88= $36,95
Total tax is $ 3060 + $ 3695= $ 6755
She can earn up to ( $ 36,000- $ 30, 423=) $ 5577 to remain in the same tax bracket.
She earns $633.81/40= $ 15.84 in one hour
She gets twice the wage for the overtime $ 31. 69
No of hours she can work = $5577/ $ 31.69 = 175.98 almost 176 hours
the rayhills are buying new windows for their house the company installs the new windows for 3,325 total cost for buying the windows and having them installed is 7,699.25 if the rayhills pay 230.25 per window how many windows did they buy
Answer:
Step-by-step explanation:
buying the windows and having them installed costs $ 7699.25
installation alone costs 3325
therefore, the cost of the windows is : 7699.25 - 3325 = 4374.25
and if they are paying 230.25 per window, then there is
4374.25 / 230.25 = 18.997 windows
let me check something...
18 * 230.25 = 4144.50
19 * 230.25 = 4374.75
if ur numbers are written correctly, they can only buy 18 windows.....they would be short 50 cents from buying 19 windows
To determine the number of windows the Rayhills purchased, the total cost minus the installation cost was divided by the cost per window, leading to an estimate of approximately 19 windows.
To find out how many windows Rayhills bought, we need to subtract the installation cost from the total cost and then divide the result by the cost per window. The total cost of buying the windows and having them installed is $7,699.25, and the company charges $3,325 for the installation. If each window costs $230.25, we can calculate the number of windows as follows:
Subtract the installation cost from the total cost: $7,699.25 - $3,325 = $4,374.25.Divide the remaining amount by the cost per window: $4,374.25 / $230.25.Now let's perform the division:
$4,374.25 / $230.25 ≈ 19 windows (rounded to the nearest whole number since you can't buy a fraction of a window).
Therefore, the Rayhills bought approximately 19 windows.
Evaluate. 12+4⋅3−15 Enter your answer in the box.
Answer:
the answer is 1.3
Step-by-step explanation:
12+4.3 is 16.3
16.3-15 is 1.3
Answer:
9
Step-by-step explanation:
PEMDAS stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
So, the first thing you would do is Multiply:
12+4*3-15
12+12-15
Then Add:
24-15
Finally Subtract:
9
What percent of 20
is 16
well 4 is basically 1/5 of 20, so that would be about 20%
and since 4 x 4 is 16, my guess is that 16 is 80% of 20
Answer: 80%
Step-by-step explanation: To answer the question what percent of 20 is 16, we translate the question into an equation.
So we have "what percent" that's x, "of 20" means times 20, "is 16" = 16. So now we have the equation (x)(20) = 16.
Now to solve for x, since x is being multiplied by 20, we need to divide by 20 on both sides of the equation. On the left side of the equation the 20's cancel and we have x and on the right side of the equation we have 16 divided by 20 which is 0.8.
Now, remember that we want to write our answer as a percent so we need to convert 0.8 into a percent.
We can convert a decimal into a percent by moving the decimal point two places to the right so we can change 0.8 to a percent by simply moving the decimal point two places to the right and we have 80%.
This means that 80% of 20 is 16.
EXTRA POINTS IF ANSWERED FAST: Kevin recorded the distances he ran last week. The total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday. How many miles did Kevin run on Wednesday? PLZZZZ ANSSWWWEEERRR
Answer:
[tex]5\frac{2}{3}[/tex] miles.
Step-by-step explanation:
Kevin recorded the distances he ran last week in the table attached to this question.
Now, the total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday.
Hence, {x + (x + 9) + (x + 4)} = {2x + (4x - 2)}
⇒ 3x + 13 = 6x - 2
⇒ 9x = 15
⇒ [tex]x = \frac{15}{9} = \frac{5}{3}[/tex]
Therefore, he ran on Wednesday = x + 4 = [tex]\frac{5}{3} + 4 = \frac{17}{3} = 5\frac{2}{3}[/tex] miles. (Answer)
Answer: 9 miles
Step-by-step explanation:
x + x + 9 + x +4 = 2x + 4x-2
Collecting like terms
x + x + x +9 + 4 = 2x + 4x -2
Collect like terms
3x +13 = 6x -2
3x - 6x = -2 -13
-3x = -15
Divide both side by -3
x = 5
Therefore ; total number he ran on Wednesday
x + 4
If x = 5
Therefore total number he ran on Wednesday = 5+4
= 9
If g(x)=1/x were shifted 4 units to the left and 4 units up what would the new equation be?
The new equation will be:
[tex]g(x) =\frac{1}{x+4}+4[/tex]
OR
[tex]g(x) = \frac{x+5}{x+4}[/tex]
Step-by-step explanation:
The function transformations are defined as:
Shifting function upwards b units
[tex]f(x) => g(x) = f(x)+b[/tex]
Shifting functions to the left b units
[tex]f(x) => g(x) = f(x+b)[/tex]
Given function is:
[tex]g(x) = \frac{1}{x}[/tex]
Shifting the function 4 units to the left will give us:
[tex]g(x) => g(x+b)\\= \frac{1}{x+4}[/tex]
Now shifting the function 4 units upwards
[tex]g(x) = \frac{1}{x+4} + 4[/tex]
Simplifying
[tex]g(x) = \frac{1+x+4}{x+4}\\= \frac{x+5}{x+4}[/tex]
The new equation will be:
[tex]g(x) =\frac{1}{x+4}+4[/tex]
OR
[tex]g(x) = \frac{x+5}{x+4}[/tex]
Keywords: function, transformations
Learn more about functions at:
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What is the y intercept of (-4,5) and (1,-7.5
A cone has a diameter of 6 cm and a height that is 3 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?
A) 1/3(3.14)(3cm)^2(18cm)
B) 1/3(3.14)(6cm)^2(18cm)
C) 1/3(3.14)(18cm)^2(3cm)
D) 1/3(3.14)(18cm)^2(6cm)
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Step-by-step explanation:
Given
Diameter of Cone = d = 6 cm
Radius will be:
r = d/2 = 6/2 = 3 cm
Height of cone = h = 3d = 18 cm
The volume of cone is given by:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Putting the values
[tex]V = \frac{1}{3} (3.14)(3)^2(18)[/tex]
Hence,
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Keywords: Volume, cone
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Percent change, "a price of a dirt bike dropped from $872 to $600"
Answer:
Percent change is −31.19%.
Step-by-step explanation:
It is given that "a price of a dirt bike dropped from $872 to $600".
Initial price = $872
New price = $600
We need to find the Percent change.
[tex]\text{Percent change}=\dfrac{\text{New price - Initial price}}{\text{Initial price}}\times 100[/tex]
[tex]\text{Percent change}=\dfrac{600-872}{872}\times 100[/tex]
[tex]\text{Percent change}=\dfrac{-272}{872}\times 100[/tex]
[tex]\text{Percent change}=-31.19266[/tex]
[tex]\text{Percent change}\approx -31.19[/tex]
Therefore, the percent change is −31.19%.
Final answer:
The chance change in the price of the dirt bike is-31.2, indicating a drop in price from$ 872 to$ 600.
Explanation:
To calculate the chance change in the price of a dirt bike that dropped from$ 872 to$ 600, we follow this formula given in the reference Chance change = (( change in value)/( original value)) × 100
First, we find the change in value, which is the new price abated from the original price $ 600-$ 872 = -$ 272 also, we divide this change by the original price -$ 272/$ 872 ≈-0.312
Eventually, to find the chance change, we multiply this bit by 100 -0.312 × 100 = -31.2 This means the price of the dirt bike dropped by31.2.