Answer:
x=30
Step-by-step explanation:
x = x
half of x = (1/2) x = "its half"
third of x = (1/3) x = "its third"
"A number x when added to its half" = x + (1/2)x
"its third increased by 35" = (1/3)x + 35
according to the prompt, these two are equal, so
x + (1/2) x = (1/3)x + 35
x = 1x = (2/2)x to match denominators
(2/2)x + (1/2)x = (1/3)x + 35
= (3/2)x
(3/2)x = (1/3)x + 35
subtract (1/3)x from both sides to isolate the variable and its coefficients
(3/2)x - (1/3)x = 35
multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)
9x - 2x = 35*6
7x = 210
divide both sides by 7 to isolate x
x = 30
Find the surface area of the pyramid.
Answer:
i think the answer is 87.
Step-by-step explanation:
i think its 87.
The perimeter of the rectangle below is 222 units find the length of side RS
Answer:
111
Step-by-step explanation:
divide 222 by 2 and you get your answer
Answer:
55.5
Step-by-step explanation:
since we don't know the length or width of any side, one length side will only be 1/4 of 222. And perimeter is all the sides added up. This rectangle will actually be a square.
222/4=55.5
6. following activities: has 9 hours of free time on Sunday, find how much time he spends on the The circle graph shows the percentage of Nathan's free time on Sunday. If Nathan 1. Percent spent on Reading: Free Time % 2. Time spent on Reading: Drawing Reading 25% 3. Time spent on Drawing: 4. Time spent Exercising: Watching Television 25% Exercising 30% 5. Time spent watching TV:
Answer: add them
Step-by-step explanation: your welcome to get a tutor
Solve the system using the linear combination method:
x + 5y= -3
2x + 7y=3
Answer:
3x+12y=0
Step-by-step explanation:
x+2x=3x
5y+7y=12y
-3+3=0
help me help me help me
Answer:
For the third one,
3, 8, 15, 24, 35, 48, 63
For the fourth one,
4, 6, 10, 18, 30, 46, 66
Step-by-step explanation:
1. Mark practices the piano for 2/3 of an hour, 6 times a week. How many hours does
he practice each week?
Answer:
4 hours
Step-by-step explanation:
2/3*6/1= 12/3
12/3 simplified is 4
Moderne Furniture Company had sales of $2,000,000 during its first year of operation. If the sales increased by $200,000/year thereafter, find Moderne's sales in the fifth year and its total sales over the first 5 years of operation.
Please look at the attachments I posted. Anyone help me please
Answer:
This will be option D
Replace the k with -1/2 and f(x) with x^2
this will look like -1/2*x^2
plug this into a graphing website such as Desmos
PLEASE HELP PLEASE HELP PLEASE
Answer:
False
Please make this brianliest so others can learn from this answer
Happy to help :)
Step-by-step explanation:
The segments shown below could form a triangle.
д
C
B
9
11
B
C
O A. True
B. False
Answer:
hi the answer is true
Step-by-step explanation:
hope it helps
The triangle can be formed using the given line segments. Therefore, the given statement is true.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Given that, line segments AC=9 units, BC=4 units and AB=11 units.
If a, b and c are the lengths of the sides of a triangle then
If a ≤ b ≤ c, then a + b > c.
9+4>11
13>11
Therefore, the given statement is true.
To learn more about the triangle inequality theorem visit:
https://brainly.com/question/1163433.
#SPJ7
Can someone help me?
Answer:
(i) [tex]y = 2x(x-5)[/tex]
(ii) zeros: x = 0 and x = 5
axis of symmetry: x = 2.5
(iii) vertex: (2.5, -12.5)
(iv) see attached
Step-by-step explanation:
Part (i)
Factor: [tex]y=2x^2-10x[/tex]
Factor out the common term [tex]2x[/tex]:
[tex]\implies y=2x(x-5)[/tex]
Part (ii)
Zeros occur when [tex]y=0[/tex]
[tex]\implies 2x(x-5)=0[/tex]
Therefore:
[tex]\implies 2x=0 \implies x=0[/tex]
[tex]\implies (x-5)=0 \implies x=5[/tex]
So the zeros are x = 0 and x = 5
The axis of symmetry of a parabola is x = a where a is the midpoint of the zeros.
[tex]\textsf{midpoint of zeros}=\dfrac{0+5}{2}=2.5[/tex]
Therefore, the axis of symmetry is [tex]x=2.5[/tex]
Part (iii)
The axis of symmetry is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.
[tex]\implies 2(2.5)^2-10(2.5)=-12.5[/tex]
So the vertex is (2.5, -12.5)
Part (iv)
Plot the zeros and the vertex.
As the leading coefficient is positive, the parabola will open upwards, so the vertex is the minimum point.
Draw the axis of symmetry, then sketch the parabola, ensuring each side of the axis of symmetry is symmetrical.
*see attached*
Bethany is making a rectangular fenced-in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long. What is the total length of fencing, in feet, that Bethany will need?
How do you solve this
convert the following units to the units in bracket 12m (to cm)
We are converting 12 meters into centimeters.
A meter is a larger unit of messurment then centimeter. In fact, a meter is made up of many centimeters
How many centimeters are in a meter?
We can look at the word composition of the word centimeter to figure this out:
centimeter
centi = 100
There are 100 centimeters in 1 meter.
In this problem, we have 12 meters. That is twelve 100 cm or:
12 × 100 = 1,200
12 meters is the same as 1,200 centimeters
1 meter = 100 centimeter
So ,
12 m = 12 × 100 = 1,200 centimeter
Betty has some bottles.
4
7
of the bottles are big and
4
5
of the remaining bottles are small. The rest of the bottles are tiny.
What fraction of the bottles are tiny?
The graph of the relation H is shown below.
Give the domain and range of
H
Write your answered using set notation
Using the concepts of domain and range, it is found that:
The domain of the relation is {-1, 2, 3, 4}.The range of the relation is {-1, 0, 2, 4}.What are the domain and range of a relation?The domain of a function is the set that contains all possible input values. On a graph, it is given by the values of x.The range of a function is the set that contains all possible output values. On a graph, it is given by the values of y.In this graph, the points represented are given by: {-1, 2}, {2,0}, {3,-1} and {4,4}. Hence:
The domain of the relation is {-1, 2, 3, 4}.The range of the relation is {-1, 0, 2, 4}.More can be learned about the concepts of domain and range at https://brainly.com/question/10891721
Verify experimentally the sum of angle of triangle is 180°
Answer:
Draw line a through points A and B. Draw line b through point C and parallel to line a. Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'. It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written??
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6
[distance between any successive Crest or trough]
a = - 4 (flipped)
b = 2π/p = 2π/6 = π/3
k = -2
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
There is not crest given so use distance between troughs
Period (T):-
Distance between two troughs|3-(-3)|6Frequency:-
[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]
[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]
A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
54 cm
52 cm
165 cm
26 cm
Answer:
52 cm
Step-by-step explanation:
perimeter = 2(length) + 2(width) for a rectangle.
2(15)+2(11)=52 cm
Answer:
52
Step-by-step explanation:
i got 100% on the quiz i got all the answers
Prove. An odd number cubed is an
odd number.
Answer:
If you're looking for the equation, it's:
[tex](2n+1)^3=8n^3+12n^2+6n+1=2(4n^3+6n^2+3n)+2=[/tex] an odd
I know because I got it right on acellus.
x+y+z=-6
x-y+3z=-18
2x+2y+2z=-8
Answer:
Step-by-step explanation:
hello :
the system is : x+y+z=-6.....(1)
x-y+3z=-18.....(2)
2x+2y+2z=-8.....(3)
use (3): 2(x+y+z) = - 8 so : x+y+z = -4
use (1) : x+y +z = -6 -6=-4 false
no solutions
what is the slope of the line that passes through the points (-1,1) and (1,-15)
Answer:
[tex]\boxed{\text{The slope is -8.}}[/tex]Step-by-step explanation:
To find the slope of the line, you have to use a slope formula.
Slope formula:
[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
⇒ y2=(-15)
⇒ y1=1
⇒ x2=1
⇒ x1=(-1)
Rewrite the whole problem down.
[tex]\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}[/tex]
So, the slope is -8, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
I need help with this please
Answer:
4 and 7
2 and 5
Step-by-step explanation:
4 and 7 are co interior angles
2 and 5 are co interior angles
sum of co interior angles are 180° hence they are Supplementary
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
Step-by-step explanation:
3125 - [72 - 4(11 - 4)]} =
Answer:
25
Because its right
also I just took a test that has this problem.
Find the value of x
A. 4
B. 10
C. 17
D. 25
Answer:
X can be any of those numbers depending on which equation it is in
Step-by-step explanation:
The hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during 4 -minute time interval?
In 4 -minute time interval a minute hand moves __ degrees.
Step-by-step explanation:
oh, come one ! you can literally see that one ...
a full rotation on a clock is a full circle and stands therefore for 360°.
for the minute hand these 360° represent 60 minutes.
4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.
4/60 = 1/15
360 × 1/15 = 24°
so, 4 minutes represent 24°.
Answer:
Wow no reasonable explanaition for why you don't know this answer but here it is.
360*
Step-by-step explanation:
A triangle is graphed on the coordinate grid below.
What are the coordinates of the image of this triangle after a dilation, with a center of dilation at the origin and a scale factor of 2.
Explanation please!! Thank you
Answer:
The answer is D
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
If 12% of a number is 30, find 4% of that number.
12%= 30
-> 100%= 30÷12×100
-> 100%= 250
4% of 250
-> 4%=250÷100×4
-> 4%= 10
Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5.
y=1/2x
Solution:The slopes of perpendicular lines are opposite reciprocals of each other.The simplest way to determine a number's reciprocal is to flip it over, like so:[tex]-2 ~ - > -\displaystyle\frac{1}{2}[/tex]Now, change the sign:[tex]\displaystyle\frac{1}{2}[/tex]So we have the slope of the line that's perpendicular to the given line.Now, let's find the line's equation.First, let's write it in Point-Slope Form:y-y1=m(x-x1)y-(-2)=1/2(x-4) y+2=1/2x-2 (Point slope)Now, convert to slope-intercept:y=1/2x+2-2y=1/2xHope it helps.
Do comment if you have any query.
Answer:
y=1/2x
Step-by-step explanation: