Answer:
x+2/5x
Step-by-step explanation:
x%of 40 is 2/5x
...40 increased by x% of it self = x+2/5x
HELP!!!! Urgent!!! I'm stuck here.
Answer:
Mean = 25
Median = 23
Mode = 33
Step-by-step Explanation:
First, let's write out all the values represented in the stem and leaf plot. We have the following data sets as follows:
15, 18, 18, 19,
22, 23, 25,
31, 33, 33, 33
=>Mean = sum of all values ÷ no of values
= (15+18+18+19+22+23+25+31+33,+33+33)/11
= 270/11 ≈ 25 (to the nearest whole number)
=>Median is the middle value when the data set is ordered. Since we have 11 values, our median value would be the 6th value in our data set = 23
15, 18, 18, 19, 22, |23|, 25, 31, 33, 33, 33
=>Mode is the most occured value = 33
Help please not sure on the answer :)
Answer:
60
Step-by-step explanation:
5(a + 2) + 6(2a - 3)
Expand the brackets.
5a + 10 + 12a - 18
Add or subtract like terms.
17a - 8
Plug a = 4 and evaluate.
17(4) - 8
68 - 8
= 60
find the area of the blue sector. leave your answer in terms of pie please I need help NOW
Answer:
60
Step-by-step explanation:
Answer:
[tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π
I NEED HELP ASAP PLEASE!
Answer:
The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.
Which statement describes a process to solve _/b+20 - _/D=5?
Add a radical term to both sides and square both sides only once.
O Add a constant term to both sides and square both sides only once.
O Add a radical term to both sides and square both sides twice.
O Add a constant term to both sides and square both sides twice.
Answer:
d
Step-by-step explanation:
double check your answer
Answer:
C. Add a radical term to both sides and square both sides twice
Step-by-step explanation:
We suppose you want to solve ...
[tex]\sqrt{b+20}-\sqrt{d}=5\\\\\sqrt{b+20}=5+\sqrt{d}\qquad\text{add a radical term}\\\\b+20=25+10\sqrt{d}+d\qquad\text{square both sides once}\\\\b-d-5=10\sqrt{d}\qquad\text{subtract right-side non-radical terms}\\\\(b-d-5)^2=100d\qquad\text{square both sides a second time}[/tex]
__
We note that the solution summary (choice C) doesn't mention the fact that you need to separate the remaining radical term from the others after the first squaring.
The result is a quadratic function that produces extraneous solutions. This is shown in the attached graph. The red function is the original relation between b (x) and d (y). The blue function includes the red function and another branch that is all extraneous solutions.
rectangle ABCD and DEFG are similar. if AB is 6, DE is 15, DG is 21, what is the length of AD, rounded to the nearest tenth?
Answer:
Length of AD is 8.4 units.
Step-by-step explanation:
Given that:
There are two similar rectangles ABCD and DEFG.
AB = 6 units
DE = 15 units
DG = 21 units
To find:
AD = ?
Solution:
Please refer to the attached image for having a look at the two given rectangles.
First of all, let us learn about the similar rectangles.
If two rectangles are similar, then the ratio of their corresponding sides are always equal.
i.e.
[tex]\dfrac{AB}{AD} = \dfrac{DE}{DG}[/tex]
Putting values of AB, DE and DG to find out AD:
[tex]\dfrac{6}{AD} = \dfrac{15}{21}\\\Rightarrow \dfrac{6}{AD} = \dfrac{5}{7}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{7\times 6}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{42}\\\Rightarrow AD = \dfrac{42}{5}\\\Rightarrow AD = 8.4\ units[/tex]
So, value of AD is 8.4 units.
I will make you a brainllest I need help :)
Answer:
32
Step-by-step explanation:
Lets work it out.
First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference? Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250. Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90. No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90. No, Mr. Hernandez’s sample is not large enough compared to the population.
Answer:
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Step-by-step explanation:
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.
90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.
so, the percent of students who love social studies is given by:
28/90 x 100=31.11%
He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Answer:
C on EDG
Step-by-step explanation:
please help to solve this
Find H.C.F
m^3 - 1, m^4 + m^2 + 1, m^2+ m + 1
Answer:
m^2+m+1
Step-by-step explanation:
m^3 - 1= (m-1)(m^2+m+1)m^4 + m^2 + 1= m^4+2m^2+1 - m^2= (m^2+1)^2 -m^2= (m^2+m+1)(m^2-m+1)m^2+ m + 1HCF= m^2+m+1 which is the factor of all three polynomials
Consider the system of four linear inequalities. The lines corresponding to these inequalities are shown in the graph below, along with the lettered regions they define. Which lettered region defines the solution to the system of inequalities?
Answer:
H
Step-by-step explanation:
If we look at the green line (x ≥ 3) we know that the solution must be shaded to the right of the line. The only region out of all of our answer choices that satisfies this is H.
Given the function f(x) = 3x - 21 +6, for what values of x is f(x) = 18?
Answer:
C
Step-by-step explanation:
3|x-2|=18-6
3|x-2|=12
|x-2|=4
Ther are two options.
First;
x-2=-4
x=-2
Second;
x-2=4
x=6
If you don't understand, you can ask :)
.Solve for x 5 x − 1 = 6 x − 9
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides
-1 = x - 9
Step 2: Add 9 to both sides
x = 8
If 5(4- x)
3x + 1-5(4 - x) = y + 12
3x + 1 5(4 + x)
5(4 - x) <3x + 1
5(4- x) + 3x + 1 = y + 12
Answer:
the third one 5(4-x)<3x+1
Answer:
number 3 hope this helps one year later
Step-by-step explanation:
HELPPPP. SOMEONE HELP PLEASE
Answer:
a) Domain: All real numbers
b) Domain: -4<x<=4
a) Range: All real numbers greater than 2
b) Range: 0<=y<=4
Step-by-step explanation:
Domain is the possible x values
Range is the possible y values
Open circle means not included
Close circle means included
Answer: a) Domain: x = (-∞, ∞) b) Domain x = (-4, 4]
Range y = [2, ∞) Range y = [0, 4]
Step-by-step explanation:
Domain represents the x-values. Range represents the y-values.
a) the graph doesn't end so every x-value is possible
x = All Real Numbers x = (-∞, ∞)
The lowest y-value (minimum) is at y = 2. All other y-values are greater than that. y ≥ 2 y = [2, ∞)
b) The graph starts at x = -4 with an open dot so it doesn't include -4. It ends at x = +4 with a closed dot so it does include +4.
-4 < x ≤ 4 x = (-4, 4]
The lowest y-value (minimum) is at y = 0. All other y-values are greater than that up to y = 4. 0 ≤ y ≤ 4 y = [0, 4]
In parallelogram ABCD, points E and F are the midpoints of side AB and BC, respectively. A F meets DE at G and BD at H. What is the area of quadrilateral BHGE if the area of ABCD is 60?
Answer:
The area of the quadrilateral B-H-G-E is 7
Step-by-step explanation:
The area of the parallelogram = 60
It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S
Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S
ΔB-F-H is similar to ΔD-B_A scaled to 1/2,
Therefore;
The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,
ΔF-C-D = 1/4×S
ΔE-A-D = 1/4×S
The area of the quadrilateral B_H_G_E found as follows;
Area B_H_G_E = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)
Area B_H_G_E = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S
Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;
Area B_H G_E = 7/60×60 = 7
Properties of exponents
Rewrite the expression in the form b^n—— (b^2)^3/7
Answer:
[tex]b^{\frac{6}{7}}[/tex] is the required expression.
Step-by-step explanation:
[tex](b^2)^{\frac{3}{7}}\\\\\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0\\\\=b^{2\cdot \frac{3}{7}}\\\\=b^{\frac{6}{7}}[/tex]
Best Regards!
What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)2 + 4?
x=
Vertex:
Answer:
x = 2 and (2, 4 )
Step-by-step explanation:
The equation of a parabola in standard form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 3(x - 2)² + 4 ← is in vertex form
with vertex = (2, 4 )
This is a vertical parabola, opening upwards and is symmetrical about the vertex.
The axis of symmetry is a vertical line with equation x = 2
According to the equation of the parabola, we have that:
The axis of symmetry is x = 2.The vertex is (2, 4).What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
The axis of symmetry is x = h.
In this problem, the equation is:
[tex]f(x) = 3(x - 2)^2 + 4[/tex]
Hence h = 2, k = 4, thus:
The axis of symmetry is x = 2.The vertex is (2, 4).More can be learned about the equation of a parabola at https://brainly.com/question/24737967
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet.
Given that,
Speed of first bicycle = 9 mph
Speed of second bicycle = 5 mph
Suppose the length of the circle 24 miles.
We need to find the relative velocity
Using formula of relative velocity
[tex]v=v_{1}-v_{2}[/tex]
Put the value into the formula
[tex]v=9-5[/tex]
[tex]v=4\ mph[/tex]
We need to calculate the time
Using formula of time
[tex]t=\dfrac{d}{v}[/tex]
[tex]t=\dfrac{24}{4}[/tex]
[tex]t=6\ hr[/tex]
We need to calculate the distance of the points where the two bicycles meet
Using formula of distance
For first bicycles,
[tex]d=9\times6[/tex]
[tex]d=54\ miles[/tex]
For second bicycles,
[tex]d'=5\times6[/tex]
[tex]d'=30\ miles[/tex]
Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.
what is a triangular prism? Guy please answer this question it's me ?
Answer:
A prism is a polyhedron A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon.
Step-by-step explanation:
i hope this will help you
Answer:
A triangular prism is a prism whose bases are triangles and whose lateral faces are rectangles.It has 9 edges and 6 vertices.
please see the attached picture.
hope this helps..
Good luck on your assignment..
Find the value.
X3+ X2 when x=-2
PLEASE HELP!!! ASAP!!!
Answer:
-4
Step-by-step explanation:
(-2)^2 + (-2)^3
this is right if the 2 and 3 are exponents
Answer:
-4
Step-by-step explanation:
Substitute the value of x:
-8+4 = -4
Plz mark me brainliest!!
school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)
Answer:
12 adults and 4 kids were there that the fair
Step-by-step explanation:
Fifteen women can weed a piece of land in
12 days. How many more women will be
required to clear the same land in10 days
Answer:
Brainliest please
Step-by-step explanation:
15 women= 12days
find 10 days,
12÷10×15= 18women in ten days
how many more women, subtract 18 women and 15 women
=3 is the answer
Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x? f(x) = (x – 8)2 – 56 f(x) = (x – 4)2 + 0 f(x) = (x + 8)2 – 72 f(x) = (x + 4)2 – 32
Answer:
f(x) = x² + 8 - 16x
= x² - 16x + 8
= (x² - 16x + 64) - 64 + 8
= (x - 8)² - 56
Answer:
A. f(x) = (x – 8)2 – 56
Step-by-step explanation:
so much for expert verified, huh.. -_-
if x+y=12 and xy=32,then find X and y
answer with explaination
Step-by-step explanation:
x+y=12-----1
xt=32-----2
from 1,
x=12-y-----3
sub 3 into 2
(12-y) y=32
12y-y²=32
y²-12y+32=0
(y-8)(y-4)=0"factorise"
y=8,y=4
sub y =8 into 1,
x+8=12
x=4
sub y =4 into 1
x+4=12
x=8
conclusion,
when x=4,then y=8
when x=8,theb y =4
Answer:
x = 4, y = 8 or x = 8, y = 4
Step-by-step explanation:
Given the 2 equations
x + y = 12 → (1)
xy = 32 → (2)
From 2
y = [tex]\frac{32}{x}[/tex]
Substitute y = [tex]\frac{32}{x}[/tex] into (1)
x + [tex]\frac{32}{x}[/tex] = 12 ( multiply through by x )
x² + 32 = 12x ( subtract 12x from both sides )
x² - 12x + 32 = 0 ← in standard form
(x - 4)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 8 = 0 ⇒ x = 8
Substitute these values into (1) for corresponding values of y
x = 4 : 4 + y = 12 ⇒ y = 8
x = 8 : 8 + 4 = 12 ⇒ y = 4
I also got stuck on this one.
Answer:
8 questions.
Step-by-step explanation:
100 - 2x = 84
-2x + 100 = 84
-x + 50 = 42
x - 50 = -42
x = 8
Trevor answered 8 questions incorrectly.
Hope this helps!
Answer:
8
8Step-by-step explanation:
100-2x=84
subtract 84 from both sides
16-2x=0
add 2x to both sides
16=2x
divide both by 2 to get x
x=8
hope this helped
Function (T/F) Please help.
Answer:
False
Step-by-step explanation:
it has more than one dot in the same row, which means it has the same number more than once in the x - axis.
Answer:
False
Step-by-step explanation:
You can check whether a graph represents a function by using the vertical line test.
Draw a vertical line on the graph, the vertical line intersects the graph at many points, therefore the graph does not represent a function.
oof
Three triangles are shown on the centimetre grid.
b)
C
А
B
a)
Which triangle has the largest area?
b)
Work out the area of this triangle.
Give your answer as a decimal.
Answer:
triangle C has the largest area.
Step-by-step explanation:
From the the three triangles A, B, C based on the area occupied by the triangles, it can be seen that triangle C occupies the largest area.
On the centimetre grid, let each box represent one unit. For triangle A, the base is 2 boxes (i.e 2 units) and the height is 3 units, For triangle B, the base is 2 units and the height is 3 units while for triangle C, the base is 3 units and the height is 3 unit. The area of a triangle is given by:
Area = [tex]\frac{1}{2}base*height[/tex]
For triangle A:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *2*3=3 \ unit^2[/tex]
For triangle B:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *2*3=3 \ unit^2[/tex]
For triangle C:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *3*3=4.5 \ unit^2[/tex]
Therefore, triangle C has the largest area.
Answer:
triangle C
Step-by-step explanation:
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot
Replace f with 190, replace P with 4148 and solve for s:
4148 = 1.85s + 4.2(190)
Simplify:
4148 = 1.85 + 798
Subtract 798 from both sides:
3350 = 1.85s
Divide both sides by 1.85:
s = 1,810.81
Rounded to nearest square foot = 1811 square feet.
Translate the following into an expression: 22% of b PLS HELP QUICK WILL GIVE BRAINLIEST IF CORRECT!!!!!!!! 10pts!!!!!!!!
Answer:
The above statement is written as
[tex] \frac{22}{100} \times b[/tex]
Hope this helps you
Write 50/6 as a mixed number. Give your answer in its simplest form.
Answer:
8 1/3
Step-by-step explanation:
Step 1: Simplify
50/6 = 8 2/6
Step 2: Simplify fraction
2/6 = 1/3
Step 3: Add it up
8 1/3
Answer:
[tex]8 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]50/6\\25/3\\25 \div 3\\= 8- remainder-1\\= 8 \frac{1}{3}[/tex]