Answer:
Corey has to be 36 while Brad is 18
Step-by-step explanation:
The factors of 54 is 1,2,3,6,9,18,27, and 54.
i pulled 18 because it look like the key number. Corey is 2 times older than Brad, that means you add multiply 18 x 2. Then you get 36. Then u subtract 36 from 54 then you get Brads age :)
Martin collected data from students about whether they played a musical instrument. The table shows his results. Instrument No Instrument TOTAL Boys 32 60 92 Girls 38 68 TOTAL 70 90 160 What is the relative frequency of a boy playing an instrument? Write the answer as a decimal, rounded to the nearest hundredth.
Answer:
Step-by-step explanation:
For the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.
What is relative frequency?Relative frequency of an event is the measure of something happens relative to the total outcomes of that event.
The relative frequency can be given as,
[tex]f_r=\dfrac{f}{n}[/tex]
Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.
The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.
Martin collected data from students about whether they played a musical instrument.
The table shows his results.
Instrument No Instrument TOTAL Boys 32 60 92 Girls 38 68 TOTAL 70 90 160Here, the total number of boys are 92 and the total number of boys who play instrument is 32. Thus, the relative frequency is,
[tex]f_r=\dfrac{32}{92}\\f_r=0.348[/tex]
Thus, for the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.
Learn more about the relative frequency here;
https://brainly.com/question/3857836
#SPJ2
How many in five days?
Answer:
d
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
make r the subject p(r-s) = 2r
PLEASE HELP ME GUYSSS
Answer:
p(r-s) = 2r
pr - ps = 2r
pr - 2r = ps
r(p-2) = ps
[tex] r = \frac{ps}{p - 2} [/tex]
Answer:
r = ps/(p-2)
Step-by-step explanation:
distribute the 'p' first to get:
pr-ps = 2r
add 'ps' to each side to get:
pr = 2r+ps
subtract '2r' from each side to get:
pr-2r = ps
factor out the 'r' to get:
r(p-2) = ps
divide each side by 'p-2' to get:
r = ps/(p-2)
.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA
Answer:
B
Step-by-step explanation:
y = k/(x + 3)
Let x = 2
Let y = 8
k = ?
8 = k/(2 + 3) Combine the terms on the right
8 = k/(5) Multiply both sides by 5
8*5 = k
k = 40
Let x = 7
y = 40/(7 + 3)
y = 40/10
y = 4
When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.
Answer:
Temperature after 10 minute = 27.9 degree Celsius
Step-by-step explanation:
Current temperature, P = 100 degree Celsius
% rate in temperature loses = 12% per minute = 0.12
Time, t = 10 minutes
Temperature after t minutes ,
[tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]
= 27.9 degree Celsius
I think of a number, double it, then subtract 13 , I get 73 . Evaluate the number I thought of.
Answer: 43
Step-by-step explanation:
Lets start with the result. First add the number you subtracted with 73
= 73+13=86
Now they had doubled it, now we instead divide it as it was multiplied. Division is the opposite of Multiplication.
86/2= 43
Hence the Answer or the First Number was 43
HOPE IT HELPS AND PLS MARK BRAINLIEST
What is the value of x?
sin 49° = COS X
Enter your answer in the box.
X =
Answer:
x = 41°
Step-by-step explanation:
Using the cofunction identity
sinx = cos(90 - x) , then
sin49° = cos(90 - 49)° = cos49°
with x = 41°
Find the measure of the indicated angle to the nearest degree.
9514 1404 393
Answer:
40°
Step-by-step explanation:
The side adjacent to the angle of interest and the hypotenuse are given, so the cosine relation is relevant.
Cos = Adjacent/Hypotenuse
cos(?) = 46/60
? = arccos(46/60) ≈ 39.9445°
? ≈ 40°
A shipping container is in the shape of a right rectangular prism with a length of 10 feet, a width of 9.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.61 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
Step-by-step explanation:
shipping container is in the shape of a Right rectangular prism with the length of the 12 feet away the 8.5 feet and the height of 4 feet. The container is completely filled with contents that weigh on average 0.25 pounds per cubic foot what is the weight in pounds of the contents in the container
Right rectangular prism is a cuboid
Volume of Right rectangular prism = 12 * 8.5 * 4 = 408 cubic feet
Content Density = 0.25 pounds per cubic foot
Density = Mass / Volume
=> 0.25 = Weight of contents in container / Volume of container
=> 0.25 = Weight of contents in container / 408
=> Weight of contents in container = 0.25 * 408
=> Weight of contents in container = 102 pounds
SOMEONE PLEASE HELP ILL GIVE BRAINLIST
Construct 5 equivalent equations for the equation -3x + 1 = 2. Describe which value you multiplied by for each equivalent equation. Show all of your work to prove your answers are correct.
Answer:
-6x+2=4
3(-3x+1)=6
-2(3x-1)=4
-3x=1
x=-1/3
Step-by-step explanation:
What is the x intercept of
5x - 10y + 40 = 0
Answer:
The x intercept is -8
Step-by-step explanation:
To find the x intercept, set y = 0 and solve for x
5x - 10y + 40 = 0
5x - 10(0) +40 =0
5x +40 = 0
Subtract 40 from each side
5x = -40
Divide by 5
5x/5 = -40/5
x = -8
The x intercept is -8
Tasha invests $5,000 at 6% annual interest and an additional $5,000 at 8% annual interest. Thomas invests $10,000 at 7% annual interest. Which statement accurately compares Tasha’s and Thomas’s investments if interest is compounded annually?
Compound interest formula: V (t) = P (1 + StartFraction r Over n EndFraction) Superscript n t
t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years
Each person will have exactly the same amount over time because each invested $10,000 at an average interest rate of 7%.
Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Thomas’s investment will yield more from the start because he has more money invested at the average percentage rate.
Tasha’s investment will yield more at first because she invested some at a higher rate, but Thomas’s investment will yield more over the long run.
Answer:
B
Tasha's investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i got a 100%
Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers
Answer:
2.64 km
Step-by-step explanation:
The first step is to calculate the distance in meters
= 24×110
= 2640 meters
1km= 1000 meter
2640 meters to kilometer
= 2640/1000
= 2.64 kilometers
Hence the distance is 2.64 km
Tina currently has $60 and is earning $4 a day dog walking. Tony has $68 and is spending 3$ a day on candy! In how many days will they both have the same amount of candy?
Answer:
8 days
Step-by-step explanation:
Let us represent the number of days as x
For Tina
Tina currently has $60 and is earning $4 a day dog walking.
= $60 + $4 × x
= 60 + 4x
For Tony
Tony has $68 and is spending 3$ a day on candy!
= $68 + $3 × x
= 68 + 3x
To calculate the number of days that they will both have the same amount of candy we equate both equations to each other
60 + 4x = 68 + 3x
Collect like terms
4x - 3x = 68 - 60
x = 8 days
Therefore, they will both have the same amount of candy in 8 days
Please help me asap, please! How do I do this?
Answer:
(3, 6)
1/3
y = -3x +15
Step-by-step explanation:
you do this step by step.
just think what you need. and then you get all of that one after the other.
so, we need the middle point between D and O.
for this we need to know the length of DO.
and we need the slope of DO, so that we can then calculate the perpendicular slope. with that slope we then build the line going through the middle point as well but with the perpendicular slope.
so, length of DO.
Pythagoras for the triangle of the differences between the individual coordinates.
DO² = (9- -3)² + (8-4)² = (9+3)² + 4² = 144 + 16 = 160
DO = sqrt(16×10) = 4×sqrt(10)
the distance D-middle is half of DO = 2×sqrt(10)
DO/2 => DO²/4 = 144/4 + 16/4 = 36 + 4 = 6² + 2²
=> we have to add to the coordinates of D 6 in x and 2 in y direction to get the middle point :
(-3 + 6, 4 + 2) = (3, 6)
the slope of DO
the slope of a line is the ratio of y/x representing the change of y with the change of x. it is the factor of x in the line equation.
for DO we know that when x changes by 12 (difference of the x values of D and O), then y changes by 4.
so, the slope is 4/12 = 1/3.
perpendicular slope of 1/3
we flip x and y and also change the sign, as when the original line goes up, then the y line goes down. and vice versa.
so, the perpendicular slope is -3/1 = -3
the equation of the perpendicular line through the middle point is
y = -3x + c
for c we need to use the coordinates of the middle point (3, 6)
6 = -3×3 + c
6 = -9 + c
c = 15
so our line is
y = -3x + 15
help ASAP Please show working
(a) [tex]a+b-c\\-2+-3-4\\-5-4\\-9[/tex]
(b) [tex]b+c^3\\-3+4^3\\-3+64\\61[/tex]
(c)[tex]\frac{3b^2-c^2+a^2}{-3abc} \\\frac{3(-3)^2-(4)^2+(-2)^2}{-3(-2)(-3)(4)} \\\frac{3(9)-16+4}{6(-3)(4)} \\\frac{27-16+4}{-18(4)} \\\frac{11+4}{-72} \\\frac{15}{-72} \\-\frac{5}{24}[/tex]
Answer:
The answer to (A) is -9.
The answer to (B) is 61.
The answer to (C) is [tex]-\frac{5}{24}[/tex] in fraction form or -0.208 in decimal form.
Step-by-step explanation:
For problem (A), which is [tex]a+b-c[/tex], in order to solve for this problem, plug in the information given from the question. The problem will look like [tex](-2)+(-3)-(4)[/tex]. Solve the problem by first adding (-2) + (-3), which equals (-5), and then, solve for (-5) -(4), which equals -9. The final answer for problem (A) will be -9.
For problem (B), which is [tex]b+c^{3}[/tex], start by plugging in the information given from the question. The problem will look like [tex](-3)+(4)^{3}[/tex]. Solve the problem by cubing 4, which equals 64, and then, solve for (-3)+(64), which equals 61. The final answer for problem (B) will be 61.
For problem (C), which is [tex]\frac{3b^{2}-c^{2}+a^{2} }{-3abc}[/tex], start by plugging in the information given from the question. The problem will look like [tex]\frac{3(-3)^{2}-(4)^{2}+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. Solve the problem by first simplifying the numerator.
To simplify the numerator, raise -3 to the power of 2, which will equal 9, and multiplying 3 by 9, which will look like [tex]\frac{27-(4)^{2}+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. Next, raise 4 to the power of 2, which equals 16, and multiply -1 by 16, which will look like [tex]\frac{27-16+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. The next step is to raise -2 to the power of 2, which will look like [tex]\frac{27-16+4 }{-3(-2)(-3)(4)}[/tex]. Then, subtract 16 from 27, which equals 11, and add (11) + (4), which equals 15. The numerator equals 15.
Next, simplify the denominator. First, multiply -3 by -2, which equals 6, and the problem will look like [tex]\frac{27-16+4 }{6(-3)(4)}[/tex]. Then, multiply 6 by -3, which equals -18, and the problem will look like [tex]\frac{27-16+4 }{-18(4)}[/tex]. The next step is to multiply -18 by 4, which equals -72, and the denominator will equal -72.
Then, reduce the expression by cancelling the common factor, and the common factor is 3. The final answer will be [tex]-\frac{5}{24}[/tex] in fraction form or -0.208 in decimal form.
The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A radius of a circle is 14 cm and a chord has 18 cm. What is the distance between the center of the circle and the chord
Answer: [tex]10.72\ cm[/tex]
Step-by-step explanation:
Given
Radius of circle [tex]r=14\ cm[/tex]
Length of chord is [tex]l=18\ cm[/tex]
Suppose the distance between the chord and center is x
From figure, we can write
[tex]\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm[/tex]
Segment Addition Postulate ( help )
Answer:
x = 13
Step-by-step explanation:
NM + ML + LK = x - 6 + 9 + 2x - 19
NK = 23
x - 6 + 9 + 2x - 19 = 23
3x - 16 = 23
3x = 39
x = 13
Which of the following is a point-slope equation for a line with the point (-2, 4) and a slope of 3? O A. y - 4 = 3(x+2) B. y - 2 = 3(x-4) C. y + 2 = 3(x-4) O D. y - 4 = 3(x - 2)
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]A)\text{ } y-4=3(x+2)[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Point-Slope Form Is...}}\\\\y-y_1=m(x-x_1)\\------------\\m - \text{slope}\\\\(x_1,y_1)- \text{point}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{\underline{Information Given:}}}\\\\\rightarrow \text{The point of } (-2,4)\\\\\rightarrow \text{The slope of 3}\\\\\\\text{\underline{This means the following:}}\\\\\rightarrow m = 3\\\\\rightarrow(x_1,y_1) = (-2,4)[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Replace the variables with the respective values:}}\\\\y-y_1=m(x-x_1)\\\\------------\\\rightarrow y-4=3(x-(-2))\\\\\rightarrow \boxed{y-4=3(x+2)}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
write the equation if the line in slope- intercept form that passes through (7,-4) with a slope of -1.
9514 1404 393
Answer:
y = -x +3
Step-by-step explanation:
The point-slope form can be a useful place to start.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You require the line ...
y -(-4) = -1(x -7)
y = -x +7 -4 . . . . . . . . eliminate parentheses, add -4
y = -x +3 . . . . . . . . . slope-intercept form
b) Find x and y.
x = 10-6
Answer:
to find y you have to do trigonometry
Please help me with this
Answer:
O = 29
P = 61
Step-by-step explanation:
90 = (x+3) + (2x+9)
90 = 3x + 12
90 - 12 = 3x
78 = 3x
x = 26
26 + 3 = O = 29
(26 * 2) + 9 = P = 61
61 + 29 = 90 = Complementary Angles
anyone know the answer?
Convert this radical form to exponential form.
Answer:
I think it's 7.93725
I'm not sure if I did this correctly
Help please I’ll mark as brainliest!
Answer:
the 2nd option
Step-by-step explanation:
first option :
-3x + 7 + 8x = 5x + 15 - 8
combine like terms
-3x + 8x - 5x = +15 - 8 - 7
0
Second option :
3x - 2 = 5x + 12 - 2x
combine like terms
3x - 5x +2x = 12 + 2
0 = 14
third option
3x - 5 = -2x - 5
combine like terms
3x + 2x = +5 - 5
5x = 0
x = 0
fourth option
3x - 3 = -2x + 2
combine like terms
3x + 2x = 3 + 2
5x = 5
x = 1
How do I solve this?
Answer:
3p³ + 2p² – 3p – 11
Step-by-step explanation:
From the question given above, the following data were obtained:
Side 1 (S₁) = –1(p + 5)
Side 2 (S₂) = 2(p² – 3)
Side 3 (S₃) = 3p³ – 2p
Perimeter (P) =?
The perimeter of the triangle can be obtained as follow
P = S₁ + S₂ + S₃
P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p
Clear bracket
P = –p – 5 + 2p² – 6 + 3p³ – 2p
Rearrange
P = 3p³ + 2p² – 2p – p – 6 – 5
P = 3p³ + 2p² – 3p – 11
Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11
A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant
Answer:
a is the answer because I just did that question and got 100 percent.
What is the slope that passes through the points (-8, -7) and (-5, 2)?
Answer:
3
Step-by-step explanation:
The equation for finding a slope is (y2-y1)/(x2-x1), where (x1, y1) is a set and (x2,
y2) is another set. (2-(-7))/(-5-(-8) = (2+7)/(-5+8) = 9/3 = 3. Hope this makes sense and helps!
Answer:
3
Step-by-step explanation:
To find the slope given two points, we use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 2 - -7)/(-5 - -8)
= (2+7)/( -5+8)
9/3
3
