Answer:
12 because it is a common factor of the denominators
Answer:
178
Step-by-step explanation:
Phoebe rounded a number to the nearest tenth and got 6.5. When she rounded it to the nearest whole number, she got 7. Which number could be the number she rounded?
Answer:
6.7
please give brainliest
Bob swam a total of 250 meters on Monday and Tuesday. On Tuesday, the numbers of meters he swam was 30 less than 3 times the amount he swam on Monday. How many meters did Bob swim on Monday?
Answer:
Bob swam 70 meters on Monday
Step-by-step explanation:
Let x = Meters swam on Monday
and y = Meters swam on Tuesday
x + y = 250
y = 250 - x
y = 3x - 30
250 - x = 3x - 30
4x = 280
x = 70
y = 180
Teddy has two sisters. One of them is 3 years older than Teddy, the other one is 7 years younger than her only brother. How old was the older sisters when the younger sister was born
Lets let Teddy be x.
Sister 1: x+3
Sister 2: x-7
If we subtract the younger sister (sister 2) from the older sister (sister 1), we get:
x+3 - (x-7) = x+3 - x + 7 = 10
The older sister was 10 years old when the younger sister was born.
BCD and EFG are shown below. Which of the following statements is true? Look at picture.
Answer:
(b) ∠EGF ≅ ∠BDC
Step-by-step explanation:
Angles D and G are both marked with double arcs, indicating they are congruent:
∠EGF ≅ ∠BDC
__
Other choices:
BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.
__
CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.
Answer:
I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.
How do I use the intermediate value theorem to prove every polynomial of odd degree has at least one real root?
Answer:
Step-by-step explanation:
help and walk me thru pleasee
Answer:
Your answer is 63
Step-by-step explanation:
First lets find the area of the rectangle:
To find the area of a rectangle your multiply the length by the width. In this case it is 5 and 9 so..
5 x 9 = 45
Now to find the area of the triangle:
Formula for triangle: 1/2(bh)
9 is your height to find the base subtract 5 from 9:
9 - 5 = 4
Now divide that by 2:
4 / 2 = 2
2 is your base
Now we know the base and height solve:
1/2(2 x 9)
1/2(18)
18 / 2 = 9
multiply 9 by 2
9 x 2 = 18
Now add your areas to find the final area:
45 + 18 = 63
Determine if the expression 5r^4 - 4r^4 s^5 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
Answer:
Step-by-step explanation:
It is a polynomial. A polynomial must have the following properties (among others).
the power must be an whole number.It cannot have a minus power.It can have more than one variable.Degree: So for this example the degree is 4 + 5 = 9. Derived from 4r^4 s^5
There is one isolated - sign with 2 terms on either side of the minus sign.
Type: It is a binomial
Aidan earned a total of $117 in one week. His babysitting job pays him $15 per hour. His after-school job at a barber shop pays him $9 per hour. He worked a total of 9 hours that week. The system of linear equations represents this situation, where x represents the number of hours Aidan spent babysitting and y represents the number hours he worked at the barber shop.
x + y = 9
15x + 9y = 117
How many hours did Aidan work at each job?
The hours worked at the babysitting job is 6 hours.
The hours worked at the barber shop is 3 hours.
What are the hours worked at the babysitting job?
Given the two linear equations:
x + y = 9 equation 1
15x + 9y = 117 equation 2
Multiply equation 1 by 9
9x + 9y = 81 equation 3
Subtract equation 3 from 1
36 = 6x
x = 6
What are the hours worked at the barber shop?
Substitute for x in equation 1
6 + y = 9
y = 9 - 6
y = 3 hours
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
What is the slope-intercept equation for this line?
y = [?]x + ( )
Answer:
y=-x-3
Step-by-step explanation:
What is the equation of the line in slope-intercept form -8 and 8 ?
Answer:
y = x - 8
Step-by-step explanation:
y = x - 8
Check your answer using (0, -8):
y = x - 8
-8 = 0 - 8
-8 = -8
This statement is true
Also, view the attached graph.
Hope this helps!
The statement "7 is 21 less than 28" is interpreted 7 = 21 - 28.
it's interpreted as 28 - 21 = 7
A linear function has a y-intercept of 10 and a slope of . What is the equation of the line?
You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.
How can i find the answer to this question: simplify (7^5)^3
Answer:
Option D
Step-by-step explanation:
Given the following question:
[tex](7^5)^3[/tex]
To find the answer we simply have to apply the exponent rule and multiply the exponents.
[tex](7^5)^3[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]5\times3=15[/tex]
[tex]=7^{15}[/tex]
Your answer is "7^15" or option D.
Hope this helps.
Answer:
7^15
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7^5^3
7^(5*3)
7^15
The area of the polygon shown in the figure is _______.
i really need actual help on this asap
The answer to this math question is?
Answer:
58 seconds
Step-by-step explanation:
Very very easy, no formulas or +,- required here.
You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.
So hence, your answer is 58 seconds!
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If you see someone without a smile, give them one of yours!
Thanks!
~MiniMeteorologist~
Have a great day!
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42. A triangle has an area of 14 square inches. The height of the triangle is three inches more than the
base. What are the base and height of the triangle?
43. Jill has a small treasure box that is 6 inches long. It can hold a volume of 72 inches cubed, and the
width of the box is 5 inches less than twice the height of the box. What are the dimensions of the box?
44. Jessie is mowing her back yard that is in the shape of a right triangle. The shortest side is 7 meters
shorter than the second side, and the hypotenuse is 13 meters long. What are the lengths of the two
sides?
Answer:
Question 42
area of a triangle = 1/2 × base × height
Given:
area = 14 in²height = x + 3base = xSubstituting given values into the formula:
⇒ 14 = 1/2 × x × (x + 3)
⇒ 28 = (x + 3)x
⇒ 28 = x² + 3x
⇒ x² + 3x - 28 = 0
⇒ (x - 4)(x + 7) = 0
⇒ x = 4, x = -7
As length is positive, x = 4 only.
⇒ height = 4 + 3 = 7 in
⇒ base = 4 in
-----------------------------------------------------------------------------------------
Question 43
volume of a cuboid = length x width x height
Given:
volume = 72 in³length = 6 inheight = xwidth = 2x - 5Substituting given values into the formula:
⇒ 72 = 6 × (2x - 5) × x
⇒ 12 = (2x - 5)x
⇒ 12 = 2x² - 5x
⇒ 2x² - 5x - 12 = 0
⇒ (x - 4)(2x + 3) = 0
⇒ x = 4, x = -1.5
As length is positive, x = 4 only.
⇒ height = 4 in
⇒ width = 2(4) - 5 = 3 in
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Question 44
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = x - 7b = xc = 13 mSubstituting given values into the formula:
⇒ (x - 7)² + x² = 13²
⇒ x² - 14x + 49 + x² = 169
⇒ 2x² - 14x - 120 = 0
⇒ x² - 7x - 60 = 0
⇒ (x - 12)(x + 5) = 0
⇒ x = 12, x = -5
As length is positive, x = 12 only.
⇒ one leg = 12 m
⇒ other leg = 12 - 7 = 5 m
A bead is formed by drilling a cylindrical hole of 2mm diameter through a sphere with an 8mm diameter. Estimate the volume of the bead to the nearest whole?
Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.
What is the Volume of a Sphere and a Cylinder?Volume of a sphere = 4/3πr³Volume of a cylinder = πr²hVolume of the bead = Volume of the sphere - volume of the cylindrical hole
= 4/3π(4³) - π(1²)(8)
= 268.08 - 25.13
Volume of the bead = 242.95 mm³
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Select the correct answer.
Which of the equations below represents a line perpendicular to the x-axis?
OA
I = 3
OB.
= = 3y
Зу
Ос.
1 = Y
=
OD
r = -3y
Answer:
0D r equals -3y
hope ts helpful
Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70
Answer:
3t - t.t.t +3(-2t) + t
3t - t³ - 6t + t
3t - 6t + t - t³
-2t - t³
Option A is correct
Divide.
4^2.4^6
O 4-3
O 4^3
O 4-4
O 4^4
The answer is C, 4^4
Step-by-step explanation:
no, the answer is definitely NOT 4⁴.
4² is smaller than 4⁶, right ?
so, 4²/4⁶ must be smaller than 1.
remember, what we do with exponents when we multiply terms ? we add the exponents.
like 4²×4⁶ = 4⁸
and when we divide terms ? we subtract the exponents.
4²/4⁶ =
[tex] {4}^{ - 4} [/tex]
because 2 - 6 = -4
What is the slope of the line that passes through the points (-10, 9) and (−10,18)?
Answer:
9
Step-by-step explanation:
the equation for the line should be:
y=9x-10
The slope of the line that passes through the point (−10,9) and (10,18) is undefined.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
We need to find the slope of the line that passes through the point (−10,9) and (10,18)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Slope: (18 - 9) / ( -10 + 10)
m = 9/0
So, the slope is undefined.
Hence, the slope of the line that passes through the point (−10,9) and (10,18) is undefined.
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Please solve with explanation high points
Answer:
a. -2x^2 + 3x+5=y
b.-x^2 +5x-4=y
c.-x^2 +6x-12=y
Step-by-step explanation:
a.y=-2x^2 +bx+c
the points P and Q lie on curve
[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]
=> b=3, c=5
b. delta = b^2 +4c
x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4
=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8
x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1
=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]
suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a
=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]
=> a=-3
b=5
a=-3 => [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.
c.vertex (3;-3)
[tex]\frac{-b}{-2}[/tex]=3 => b =6
[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.
The length of the base of an isosceles triangle is x. The length of a leg is 3x−6. The perimeter of the triangle is 65. Find x.
Answer:
x = 11
Step-by-step explanation:
Hello!
In an isosceles triangle, the two legs are congruent by the property Base angle Theorem. It is isosceles when both angles on the base are congruent.
So, since the base is x, and the measure of one leg is 3x - 6, we know that the other leg is also 3x - 6 in length.
The equation for perimeter is : leg + leg + base = Perimeter
We can plug in 65 for the perimeter because it's given
Solve for x:
x + 3x - 6 + 3x - 6 = 657x - 12 = 657x = 77x = 11The value of x is 11.
Find the value of x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{24+x}\\ a=\stackrel{adjacent}{24}\\ b=\stackrel{opposite}{32}\\ \end{cases}\implies (24+x)^2~~ = ~~24^2+32^2 \\\\\\ (24+x)(24+x)~~ = ~~24^2+32^2\implies \stackrel{F~O~I~L}{24^2+48x+x^2}~~ = ~~24^2+32^2 \\\\\\ 48x+x^2=32^2\implies x^2+48x-32^2=0\implies x^2+48x-1024=0 \\\\\\ (x-16)(x+64)=0\implies x= \begin{cases} 16~~\textit{\Large \checkmark}\\\\ -64 \end{cases}[/tex]
notice, we didn't use -64, since the value of "x" must be a positive value.
What is the slope of the line defined by the equation y = 5x + 3?
A) 3/5
B) 5/3
C) 3
D) 5
Answer:
D) 5
Step-by-step explanation:
5 is the rise. x or 1 is the run. (0,3) is the start location.
suppose that a movie rental company supervid charges a $30 subscription fee and $1.5 per movie. lets say that another company megawatch charges $100 subscription fee but only $0.90 per show. what are the cost functions for each company's subscription plan.
Answer:
the first on is y=30+1.5x and megawatch is y=100+0.90x
Step-by-step explanation:
Can yall help me with the answers?
Answer:
Number 3 is B
Step-by-step explanation:
B is number 3
Answer:
Lakaka 1 by Lakaka 1 vx wfs
a right triangle with a long leg (x+7) and a short leg with (x) and the hypothenuse is 13
Answer:
Area is 30cm^2 if thats what your asking
Step-by-step explanation:
Answer:
X = 5
Step-by-step explanation:
You need to use the Pythagorean theory to solve this question.
[tex] {13}^{2} = {x}^{2} + {(x + 7)}^{2} [/tex]
[tex]169 = {x}^{2} + ( {x}^{2} + 14x + 49)[/tex]
[tex]169 = 2 {x}^{2} + 14x + 49[/tex]
[tex]0 = 2 {x}^{2} + 14x + 49 - 169[/tex]
[tex]0 = 2 {x}^{2} + 14x - 120[/tex]
Now simply the equation by dividing everything by 2.
[tex]0 = {x}^{2} + 7x - 60[/tex]
[tex]0 = (x - 5)(x + 12)[/tex]
Now, you can find the possible solutions by setting each bracket to 0.
[tex]0 = x - 5[/tex]
[tex]5 = x[/tex]
OR
[tex]0 = x + 12[/tex]
[tex] - 12 = x[/tex]
However, a measurement on a triangle cannot be negative. Therefore, we can ignore -12 and say that the answer is x = 5.
Mr. Bartley is taking the theater club on a field trip to see the musical wicked. The school treasurer asked mr. Bartley for the groups total ticket cost. He wrote the following cost function for the school treasurer: total cost = 52(25+2)
Which of the following statements could describe the cost function? Select all that apply
Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
Tickets cost $25 and each person must pay $2 for the bus. There are 52 people going
Mr. Bartley expression of the ticket cost function is an illustration of equations
The true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
How to determine the true statement?The equation of the total cost is given as:
Total Cost = 52 * (25 + 2)
The above can be rewritten generally as:
Total Cost = Cost per each * (Student + Teachers)
By comparison, we have:
Cost per each = $52
Students = 25
Teachers = 2
Hence, the true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
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