Answer:
3n +2 -8n
2 - 5n
Step-by-step explanation:
Answer:
He only multiplied the 2 to the first term in the parentheses instead of both terms
Step-by-step explanation:
3n+2(1-4n)
Distribute
3n + 2 -8n
Combine like terms
2 -5n
Samuel made the mistake of incompletely distributing
He only multiplied the 2 to the first term in the parentheses instead of both terms
3n+2(1-4n)
3n +2 -4n
2-n
Antonio invests 3000 at .10 interest compounded semianually for 12 years. Use the compound interest formula to calculate the compound amount for his investment
Answer:
A=9675.299
Step-by-step explanation:
A=p(1+r)^t
A compound amount
P is the principle amount invested
r : rate ( semiannually is 0.5 )
t=years ( semiannually 12*2=24)
A=3000(1+0.10/2)^24
A=9675.299
What else would need to be congruent to show that triangle ABC cong Triangle XYX by ASA?
Explanation:
AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.
What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.
Answer:
AC=XZ
so the correct answer is D
a bonus of 4200 is shared by 10 people who works for a company.40% of the bonus is shared equally between 3 managers the rest of the bonus is shared equally between 7 sales people.Peter, one of the sales people says," if the bonus is shared equally between 10 people i will get 25% more money. Janet a manager, says," no you wont get that much extra. show that Janet is correct by working out how much peter thinks he would get and how much he would actually get.
Step-by-step explanation:
if each the bonus is shared equally each will get 420
if 40% is shared by managers each manager will get 560
if 7 sales persons share 60% each will get 360
therefore Peter salesperson will get 360
but he thinks he will get 336 because if 420 is 125% that is including his extra 25% then hundred percent of the 420 is 336 which is not what he will get there for Janet is correct
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Answer:
If the amount of dough for a small pizza is S, for a large pizza is L and for a medium pizza is M, we have the equations:
M = (3/2)*S
L = (5/2)*S
L = M + S
First, we can convine the second and third equation and get:
(5/2)*S = M + S
and now we can replace M by the first equation:
(5/2)S = (3/2)*S + S = 5/2 S
so we have a trivial equation, S can be any number, this means that the system of equation is not well constructed.
For example, if S = 1Kg then:
M = (3/2)kg
L = (5/2)kg = (3/2)kg + 1 kg = 5/2kg
Answer:
The equation for a small pizza is, 3/2s + s = 5/2s.
Next, to combine like terms the equation is, 5/2s = 5/2s.
After that, for opposite operations you write, 5/2s - 5/2s = 0.
When you combine the like terms for the last equation, you come up with,
0 = 0.
The small sized pizza does not have a specific size and is no longer part of the equation. Its' size can be anything, and the other sized pizzas will equal their equation towards the small pizza, still representing their same value.
Step-by-step explanation:
cheese + sauce + dough + lots of meat + fire = happiness/pizza
(HopE ThIs HeLPs)
A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square. c^2 = 81. What is the side length of the square in centimeters?
Answer:
9 cm
Step-by-step explanation:
c^2=81
Take the square root of both sides.
The square root of c^2 is c.
The square root of 81 is 9.
c=9
Answer:
C = 9 centimeters
Step-by-step explanation:
First, look at the area of a square, which formula is c^2 or in standard format - s^2. Thus, we can say, c^2 = 81. Then, we can simplify, and put c = √81. Since 81 is a perfect square, 9 * 9 = 81. Thus the answer is 9 centimeters.
Can someone help me out with these math questions?
You can pick one to answer or chose to answer both!
I’d appreciate the help thank you!
Find the value of h in the triangle.
18.2 m
12 m
h
21.8 m
[ ? lm
Answer:
10 mStep-by-step explanation:
Area of ∆ = 1/2 * base* height
b= 12 m
h= 18.2 m
Area = 1/2*12*18.2
Considering,
base= 21.8 m
A= 1/2*21.8* h
[tex] \frac{1}{2} \times 12 \times 18.2 = \frac{1}{2} \times 21.8 \times h[/tex]
[tex]h = \frac{12 \times 18.2}{21.8} [/tex]
[tex]h = 10.018 \: m[/tex]
[tex]h = 10 \: m[/tex]Hope this helps...
Good luck on your assignment..
Answer:
40
Step-by-step explanation:
Find the least common multiple of x2 + 4x + 3 and x2 + 7x + 12.
Answer:
( x+1) (x+3) (x+4)
Plzzz help if u do both I’ll give Brainlynest
Answer:
Step-by-step explanation:
Q1; 10 units
The dotted lines separate the figure into 3 shapes - 1 square, 2 triangles.
The area of a square is s^2, where s is the side length.
The side length of the square is 2. 2^2 =4
The area of the square is 4 units.
The area of a triangle is bh/2, where b is the base and h is the height.
The base of the triangle on the left is 2 and the height is also 2. 2(2)/2 =2
The area of the left triangle is 2 units.
The triangle on the right has a base of 2 and a height of 4. 4(2) =8 /2 = 4
The area of the right triangle is 4 units.
The area of the composite figure is the area of the 2 triangles and the square added together; 4+2+4 =10
The area of the figure is 10 units.
Q2: The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
The area of a circle is π[tex]r^2[/tex]. The radius of this circle is 4cm.
Therefore, the area of the circle is 16π[tex]cm^2[/tex].
The formula for area of a rectangle is length times width. The length of this rectangle is 3 and the width is 2.
Therefore, the area of the rectangle is 6 cm^2
We're looking for the area of the shaded region (area of circle- rectangle), so we subtract the area of the rectangle from the area of the circle.
16π simplifies to 50.2654825 cm^2.
50.2654825-6 = 44.2654825 cm^2
The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
Use the graph to complete the statement. O is the origin. Ry−axis ο Ry=x: (2,3) A. (-2, -3) B. (3, -2) C. (2, -3) D. (-3, 2)
Answer:
D
Step-by-step explanation:
Given
[tex]R_{y-axis}[/tex] ￮ [tex]R_{y=x}[/tex] : (2, 3 )
Then the order of reflections is from right to left, that is
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
(2, 3 ) → (3, 2 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , thus
(3, 2 ) → (- 3, 2 ) → D
A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 25 vehicles has a mean peed o 48 miles per our and a standard deviation of 255 miles. What is the sample statistic?
Answer:
48 miles per hour.
Step-by-step explanation:
The definition of a sample statistic is "any function of observed data, such as the sample mean, sample variance, etc.".
We are given both the sample mean and the sample variance. But samples exist to be compared to the population.
Since we are given the data that "the mean speed of vehicles is greater than 45 miles per hour", we are told what is happening to the mean, not the standard deviation. So, we will use the mean of the sample of 25 vehicles to state the sample statistic: mean speed of 48 miles per hour.
Hope this helps!
Question 13 PLEASE HELP Find the x-intercept of -x +2y =6. X-intercept: (___,0)
Answer:
(-6,0)
Step-by-step explanation:
The x intercept is when y = 0.
So, -x +2(0) = 6
-x = 6
x = -6
Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (0, 11), and a co-vertex at (4, 0). HELP ASAP
Answer:
Step-by-step explanation:
If you plot those points on a coordinate plane, you'll see that the distance from the origin up the y-axis to the point is greater than is the distance from the origin down the x-axis to the other point. That means 3 things to us: 1. the greater distance is a and the shorter is b; 2. the point (0, 11) is the vertex while the point (4, 0) is the co-vertex; and 3. this is a vertically stretched ellipse. A vertically stretched ellipse has an equation
[tex]\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1[/tex] where h and k are the coordinates of the center, a is the greater distance (between the center and the vertex), and b is the smaller distance (between the center and the co-vertex). Here's what we have then thus far:
h = 0
k = 0
a = 11
b = 4
Filling in our equation then looks like this:
[tex]\frac{(x-0)^2}{4^2} +\frac{(y-0)^2}{11^2} =1[/tex] and simplifying:
[tex]\frac{x^2}{16} +\frac{y^2}{121} =1[/tex]. It appears that the last answer is the one you want, although when I teach this to my precalc students, I do not encourage them to move the x and y terms around as that answer appears to have done. But addition is also commutative so I'm sure it's acceptable (I just think it looks strange that way).
The equation of ellipse is [tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex] option D is correct.
Important information:
The center of the ellipse is the origin.Vertex at (0,11).Co-vertex at (4,0)Ellipse:The standard form of an ellipse is:
[tex]\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1[/tex]
Where, [tex](0,a)[/tex] is vertex and [tex](0,b)[/tex] is vertex.
Substitute [tex]a=11,b=4[/tex] in the above equation.
[tex]\dfrac{x^2}{(4)^2}+\dfrac{y^2}{(11)^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{121}=1[/tex]
[tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex]
Therefore, the correct option is D.
Find out more about 'Ellipse' here:
https://brainly.com/question/1548816
solve this question with calculation please:
Answer:
x=80
Step-by-step explanation:
the figure depicts a pentagon.
we can use linear pair method to find x
we should find interior angles
angle E= 180-90= 90
angle D=180-60= 120
angle C=180-x
angle A= 90 given
angle B= 180-40= 140
angle sum of a pentagon = 540
by formula (n-2)180. n is the number of sides
equation= 90+120+180-x+90+140= 540
620-x= 540
620-540=x
80=x
a drawer contains 30 pens of various colors: 4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 white A pen having blue or red is taken out of the drawer
Answer:
Probability of blue or red = 3/10
Step-by-step explanation:
4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 .
Total = 30
Probability of having a blue = 6/30
Probability of having a blue= 1/5
Probability of a red = 3/30
Probability of a red= 1/10
Probability of a blue or a red=
Probability of blue + probability of red
= 6/30 + 3/30
= 9/30
= 3/10
Parallel to the line y= -2x + 4 and passes through point A(2, 4)
============================================================
Explanation:
Parallel lines have equal slopes, but different y intercepts. The given line y = -2x+4 has a slope of -2. Any line parallel to this will also have a slope of -2.
So m = -2
The unknown line goes through the point (x,y) = (2,4). Which means x = 2 and y = 4 pair up together.
Plug m = -2, x = 2, y = 4 into y = mx+b and solve for b
y = mx+b
4 = -2(2)+b
4 = -4+b
4+4 = b ... adding 4 to both sides
8 = b
b = 8
Since m = -2 and b = 8, we go from y = mx+b to y = -2x+8
--------------
Side note: the y intercept of the original equation is 4 while the y intercept of the new equation is 8
Answer:
y=-2x+8
Step-by-step explanation:
y= -2x + 4 and passes through point A(2, 4)
if a line is parallel then the two lines have the same slope
since the line passes through A(2,4) then
y=-2x+b find b
4=-2(2)+b
b=4+4=8
b=8
y=-2x+8
what is 1+1, is the answer a letter and why
Answer:
2
Step-by-step explanation:
Lets say John had 1 apple and Sarah gave him 1 more apple. John would now have 2 apples.
Hope this helps :)
Answer:
B
Step-by-step explanation:
1=a 2=b
What is the quotient? StartFraction a minus 3 Over 7 EndFraction divided by StartFraction 3 minus a Over 21 EndFraction StartFraction negative (a minus 3) squared Over 147 EndFraction StartFraction (a minus 3) squared Over 147 EndFraction 3 –3
Answer:
Correct answer is
[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]
Step-by-step explanation:
Let us rephrase the given statement mathematically.
We are given the fractions as:
[tex]\dfrac{a-3}{7}[/tex]
to be divided by:
[tex]\dfrac{3-a}{21}[/tex]
To find:
[tex]\dfrac{a-3}{7}\div\dfrac{3-a}{21}[/tex]
Now, let us have a look at the division rule in fractions:
[tex]\dfrac{a}{b} \div \dfrac{c}{d}[/tex]
is equivalent to
[tex]\dfrac{a}{b} \times \dfrac{d}{c}[/tex]
In other words, we say that the second fraction [tex]\frac{c}{d}[/tex] is changed to [tex]\frac{d}{c}[/tex] and [tex]\div[/tex] is changed to [tex]\times.[/tex]
Now solving the given fraction by applying above rules:
[tex]\dfrac{a-3}{3}\div\dfrac{3-a}{21}[/tex]
[tex]\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{3-a}\\\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{-(a-3)}\\\Rightarrow \dfrac{1}{1}\times \dfrac{3}{-1}\\\Rightarrow -3[/tex]
So, correct answer is:
[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]
Answer:
d on edg
Step-by-step explanation:
taking test rn
Please can someone help I have tried many times
Answer:
My answer is in the attached picture
Step-by-step explanation:
Enlarged by a scale of 2 using P as the centre of enlangment.
Answer:
Step-by-step explanation:
All you should do is to draw lines that conect each node of the triangle with the center of enlargement .
Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
Answer:
4096
Step-by-step explanation:
You do the equation 4^6
[tex]\huge\mathbb\skyblue{Question:}[/tex]
Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
[tex]\huge\mathbb\skyblue{Solution:}[/tex]
do this equation 4^6 ^^
So the Answer is 4096
[tex]\huge\mathbb\color{skyblue}{Answer:}[/tex]
4096 rabbits will Jocelyn have in 5years.
᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽
If you have any questions, feel free to ask me <33
[tex]\tiny\bold\color{lightpink}{\boxed{\overbrace{\underbrace{ArianahMaxxiLou}}}}[/tex]
Which is the equation of a line that passes through the point (3, 2) and is parallel to the line in the graph?
Answer:
y = 3x/2 − 5/2
Step-by-step explanation:
The lengths of the sides of a triangle are in the ratio 3:4:5. Find the lengths of the sides of this triangle if its perimeter is 96 cm.
Answer: 16 one side 32 second side 48 third side
Step-by-step explanation:
16;32;48
3;4;5
Answer:
24, 32, 40
Step-by-step explanation:
We know that the ratio of the sides is 3:4:5, and that total is 96.
First I tested out some numbers by multiplying them by 3, 4, and 5
Eventually I got to 8;
8×3:8×4:8×5 --> 24:32:40 --> 3:4:5
24+32+40=96
Meaning, the sides were 24, 32, and 40
Hope this helps, and good luck!
if anybody can answer atleast 1 of the 2 questions that would be great! Thank you:) *Grade 9 work*
Answer:
perimeter=[tex]2(l+b)[/tex]
2(3b+5+2b-1)=
2(5b+4)=0
5b+4=o
b=-4/5
but be can't be -ve
therefore,b=4/5 or 0.8
Answer:
6) The perimeter of the triangle is 3(3x - 1)
7) The perimeter of the rectangle is 2(5b + 4)
Step-by-step explanation:
The perimeter of a triangle and a rectangle is found by adding up all the sides.
6) Perimeter of triangle = 3x - 3 + 4x - 1 + 2x + 1 = 3x + 4x + 2x - 3 - 1 + 1 = 9x - 3 = 3(3x - 1)
7) Perimeter of rectangle = 2(L + B) = 2(3b +5 + 2b - 1) = 2(5b + 4)
The diagram shows a square. Find the length of the side of the square.
Answer:
20 centimeters
Step-by-step explanation:
A square has all sides equal.
6x - 1 = 4x + 6
6x - 4x = 6 + 1
2x = 7
x = 7/2
Plug in x as 7/2 in one of the side lengths.
6(7/2) - 1
42/2 - 1
21 - 1 = 20
Answer:
20Step-by-step explanation:
Sides of a square are always equal.
6x - 1 = 4x + 6
Move the variable to L.H.S and change its sign
6x - 4x - 1 = 6
Move the constant to RHS and change its sign.
6x - 4x = 6 + 1
Simplify
2x = 7
Divide both sides by 2
2x/2 = 7/2
X = 7/2
Again,
6x - 1
plugging the value of X
= 6 * 7/2 - 1
= 3 * 7 - 1
= 21 - 1
= 20
Hope this helps...
The question is in the picture attached
Answer:
≈ 10.7 ft
Step-by-step explanation:
We have 2 secants to a circle from an external point.
The product of the measure of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
let the internal part of the right secant be x , then
6(6 + x) = 4(4 + 12) = 4 × 16 = 64 ( divide both sides by 6 )
6 + x ≈ 10.7 ( subtract 6 from both sides )
x ≈ 4.7
length of pass = 6 + 4.7 = 10.7
Solve using derivatives.
I have no clue where to start on this I really need help please.
Please show steps and diagram.
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
Complete the solution of the equation. Find th
value of y when x equals -4.
- 8x + y = 37
Enter the correct answer.
Answer:
64
Step-by-step explanation:
Which inequality is represented by the graph below?
Answer:
y ≤ -1/5x +1
Step-by-step explanation:
The line had an incline of -1/5 and the intersect with the y-axis is 1, so the line is given by
y = -1/5x +1
The indicated area in graph is below the line, so now you have enough to get the right inequality:
y ≤ -1/5x +1
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
How many magazines are there?
12 magazine.
Step by step explanation:
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
Story: c
Magazine: r
C / R
C = 4K
R = 3k
4K + 3k = 28
7k = 28
K = 7/28
K = 4
Substituting:
C = 4X4 = 16
R = 3x4 = 12
Ratio of stories to magazines: 4:3
There are 28 stories, so that would mean we would have to divide 28 by 4 to get the common rate.
28/4 = 7
So, now we can substitute it to solve the amount of magazines.
4 x 7 = 28
3 x 7 = 21
Thus, there are 21 magazine and the non-simplified ration of stories to magazines is 28:21.
Find the roots of the quadratic equation 2x^2-x-4 =0
Answer:
I hope it will help you...