Answers
Given the expression below
[tex]\frac{1}{2}(10.4x-2q)-2.8(x-7q)[/tex]Using distributive property, we have
[tex]\frac{1}{2}(10.4x)-\frac{1}{2}(2q)-2.8(x)-2.8(-7q)[/tex][tex]5.2x-q-2.8x+19.6q[/tex]collect like terms
[tex]\begin{gathered} 5.2x-2.8x+19.6q-q \\ \rightarrow2.4x+18.6q \end{gathered}[/tex]Hence, the simplest form of the fraction is 2.4x + 18.6q
Related Questions
Which of the following is a true stateme 3/4 < 4/6; 5/6 > 10/12; 8/16 = 1/4; 11/15 < 4/5
Answers
Answer:
11/15 < 4/5
Step-by-step explanation:
this is because:
3/4 < 4/6 is the same as 9/12 < 8/12 which is incorrect
5/6 > 10/12 is the same as 10/12 > 10/12 which is incorrect
8/16 = 1/4 is the same as 8/16 = 4/16 which is incorrect
therefore the only possible answer is 11/15 < 4/15 because:
it is the same as 11/15 < 12/15 which is CORRECT
What percent of 27 is 12?
Answers
Solution
For this case we can do the following procedure:
[tex]\frac{12}{27}\cdot100=44.4[/tex]then the answer is: 44.4%
If the point (3,-2) is on the graph of y = f(x), which point is on the graph of y = f-¹(x)
Answers
[tex]f^{ - 1} (x)[/tex]
IS THE INVERSE OF f(x) .TO OBTAIN THE INVERSE OF A GRAPH WE SWAP POINTS. MEANING WHAT WAS THE X COORDINATE BECOMES THE Y COORDINATE AND WHAT WAS THE Y COORDINATE BECOME THE X COORDINATE.
DOING WHAT I EXPLAINED (-2,3)IS THE POINT OF THE INVERSE GRAPH .
GOODLUCK
Find the area of the triangle 4 m 7 m The area of the triangle is v (Type a whole number.)
Answers
Find the area of the triangle;
[tex]\begin{gathered} \text{Area}=\frac{1}{2}bh \\ b=\text{base (7)} \\ h=\text{vertical height (4)} \\ A=\frac{1}{2}\times7\times4 \\ A=\frac{1}{2}\times28 \\ A=14 \end{gathered}[/tex]The area of the triangle is 14 square units
**Please Note; The instruction is to type in a whole number, so you may exclude "Square Units" from your answer
4) How many solutions does the system of linearequations have?2x + 3y = 6-8x - 12y = -20image
Answers
Answer
Explanation
To know how many solutions this system of linear equations have, we willl need to solve it.
2x + 3y = 6
-8x - 12y = -20
Making x the subject of formula in the first equation
2x + 3y = 6
2x = -3y + 6
Divide through by 2
(2x/2) = (-3y/2) + (6/2)
x = (-3y/2) + 3
Substituting this for x in the second equation
-8x - 12y = -20
x = (-3y/2) + 3
-8 (-3
7x - 2xy + 9xy - 2x + 5Like terms
Answers
we have given Question is 7x-2xy+9xy+5
now we will rearrange it to like terms
7x-2x+9xy-2xy+5
we use simple addition and subtraction for like terms
5x+7xy+5
so here is the answer
5x+7xy+5
we can write it as below
5+5x+7xy=0
The triangle is rotated 180° about the origin. Give the coordinates of the points in the image:B-5-4-3-210N45-2-3-4-5ACBCC'(Blank 1:Blank 2:Blank 3:Blank 4:Blank 5:Blank 6:
Answers
Generally when a coordinate (x , y) is rotated 180 degrees about the origin, it becomes (-x , -y).
Now, the coordinates of the vertices of the triangle will follow a similar transformation when the triangle is rotated 180 degrees about the origin, as follows:
[tex]A(0,4)\text{ will become : A1 (0, -4)}[/tex][tex]B(2,3)\text{ will become : B1(-2, -3)}[/tex][tex]C(-1,-1)\text{ will become : C1(1, 1)}[/tex]See the figure below which shows the transformation
The 2017 Toyota Prius is EPA-rated at 54 mi/gal (miles per gallon) for city driving and 50 mi/gal for highway driving. The 2017 Toyota Yaris is rated at 30 mi/gal city and 36 mi/gal highway. How many gallons of gas, to the nearest tenth, would each vehicle consume for:(A) 300 mi of city driving plus 100 mi of highway driving.(B) 100 mi of city driving plus 300 mi of highway driving.
Answers
A) For 300 mi of city driving plus 100 mi of highway driving:
Toyota Prius will need
[tex]\frac{300\text{ mi}}{54\text{ mi/gal}}+\frac{100\text{ mi}}{50\text{ mi/gal}}=5.6\text{gal}+2\text{gal}=7.6\text{gal}[/tex]Toyota Yaris will need
[tex]\frac{300mi}{30\text{ mi/gal}}+\frac{100mi}{36\text{ mi/gal}}=10gal+2.8gal=12.8gal[/tex]B) For 100 mi of city driving plus 300 mi of highway driving:
Toyota Prius will need
[tex]\frac{100mi}{54\text{ mi/gal}}+\frac{300mi}{50\text{ mi/gal}}=1.9gal+6gal=7.9gal[/tex]Toyota Yaris will need
[tex]\frac{100mi}{30\text{ mi/gal}}+\frac{300mi}{36\text{ mi/gal}}=3.3gal+8.3gal=11.6\text{gal}[/tex]4. Select all systems that are equivalent to this system: {
6d+4.5e = 16.5
45d +4.5e = 4
^{
${
B.
<{
D.
{
{
E.
F.
30d +22.5e 82.5
5d + 0.5e = 4
30d +22.5e 82.5
30d +
3e = 24
f6d+4.5e
16.5
6d+0.6e = 4.8
12d + 9e = 33
10d + 0.5e = 8
6d+4.5e = 16.5
11d + 5e = 20.5
6d+4.5e = 16.5
Sd+0.5e = 4
Answers
The system that are equivalent to the system
6d+4.5e = 16.5
45d +4.5e = 4 are
30d +22.5e= 82.5
5d + 0.5e = 4,
30d +22.5e 82.5
30d +3e = 24 and
6d+4.5e=16.5
6d+0.6e = 4.8
What is substitution method?
Substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
In equation two,
30d +22.5e= 82.5
5d + 0.5e = 4
5(6d + 4.5e) = 5 (16.5)
5d + 0.5e = 4
similarly, the equation 3
5(6d +4.5e) = 5(16.5)
6(5d + 0.5e) = 6(4)
Similarly, the equation 4
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3y+12=-6 I need help please
Answers
3y + 12 = 6
subtrac 12 from both sides of the equation:
3y + 12 -12 = 6 -12
3y = -6
divide both sides by 3
3y/3 = -6/3
y= -2
Find the value of r so the line that passes through each pair of points has the given slope.
(r, 7),(3, 4), m=−35
Answers
Answer: 102/35
Step-by-step explanation:
Substituting into the slope formula,
[tex]\frac{7-4}{r-3}=-35\\\\\frac{3}{r-3}=-35\\\\\frac{r-3}{3}=-\frac{1}{35}\\\\r-3=-\frac{3}{35}\\\\r=102/35[/tex]
Find ST R. 12.5 x + 5 V 7.5 S X-5 T O A 25 B. 20 O C. 10 OD. 15
Answers
Here, we want to calculate the value of ST
To do this, we need to check for similar triangles
As we can see; we have similar triangles and thus, will use the bisector theorem
We have this as;
[tex]\begin{gathered} \frac{x-5}{x+5}\text{ = }\frac{7.5}{12.5} \\ \\ 12.5(x-5)\text{ = 7.5(x+5)} \\ 12.5x\text{ - 62.5 = 7.5x + 37.5} \\ 12.5x\text{ - 7.5x = 37.5 + 62.5} \\ 5x\text{ = 100} \\ x\text{ = }\frac{100}{5} \\ \text{ x = 20} \end{gathered}[/tex]But ST is x-5
Simply substitute the value of x in the expression
We have this as; 20-5 = 15
At a sale, a suit is being sold for 66% of the regular price. The sale price is $429. What is the regular price?
Answers
Let x be the regular price, then we can set the following equation:
[tex]x\cdot0.66=429[/tex]Solving for x we get:
[tex]\begin{gathered} x=\frac{429}{0.66}=650 \\ x=650 \end{gathered}[/tex]I need help please with math
Answers
Answer:
A = (1, 1i)
B = (-7, 3i)
C = (-4, -7i)
Step-by-step explanation:
Complex numbers makes the x axis the "real" axis and the y axis the "imaginary" axis. Therefore, your "y" coordinates will have an "i" attached to them to signify that they are imaginary.
BRAINLIEST (statistics) (please help fast) The parallel dotplots below display the number of absences for students in each of two classes.
2 dotplots titled class absences. The number lines go from 0 to 10 and are labeled number of absences. Class D, 0, 7; 1, 11; 2, 4; 3, 3. Class C, 0, 8; 1, 10, 2, 4; 3, 1; 5, 1; 10, 1.
Which of the following statements is true?
The range for the distribution of the number of absences is larger for class D.
The range for the distribution of the number of absences is larger for class C.
The IQR for the distribution of the number of absences is larger for class D.
The IQR for the distribution of the number of absences is larger for class C.
Answers
The true statements are,
The range for the distribution of the number of absences is larger for
class D.
The IQR for the distribution of the number of absences is larger for class C.
What is IQR or interquartile range?The interquartile range serves as a gauge for where a data set's "middle fifty" lies. An interquartile range (IQR) measures where the majority of the values lay, whereas a range measures where a set's start and finish are.
Given, Are 2 dot plots titled class absences.
Arranging the data set For class D,
0, 1, 2, 3, 3, 4, 7, 11.
So, The range of the data set D is 11 - 0 = 11.
The IQR for the absences for class D is Q₃ - Q₁ = 7 - 1 = 6.
Arranging the data set For class C,
0, 1, 1, 1, 1, 2, 3, 4, 5, 8, 10, 10.
So, The range of the data set C is 10 - 0 = 10.
The IQR for the absences for class C is Q₃ - Q₁ = 8 - 1 = 7.
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Evaluate e3.32 Round your answer to the nearest tenth, and do not include "e3.32 =" in your answer.
Answers
You would need a scientific calculator for this exercise.
On your calculator you simply enter the symbol e. (Please ensure your calculator has nothing on display before this)
After pressing the e button, you press the x raised to the power of y symbol and then input 3.32, as shown below;
[tex]\begin{gathered} e\text{ (step 1)} \\ x^y\text{ (step 2)} \\ 3.32(step\text{ 3)} \\ \text{This displays the result shown below;} \\ 27.66035055851675 \\ \text{Rounded to the nearest tenth;} \\ e^{3.32}=27.7 \end{gathered}[/tex]d. Henrich has $195,000 of taxable income, which includes $50,000 of long-term capital gain that is taxed at preferential rates.
Assume his modified AGI is $210,000.
Income tax
Net investment income tax
Total tax liability
$
Amount
0.00
Answers
Net Income tax payable $41,516.75 (f + g)
As per the data are given in the above question it is given that,
Henrich has $195,000 of taxable income,
i.e. Taxable Income (a) $195,000
Which includes $50,000 of long-term capital gain that is taxed at preferential rates.
i.e. Preferentially taxed income (b) $50,000
Assume his modified AGI is $210,000.
Therefore Income taxed at ordinary rates ( c) $145,000
Tax on c above (d) $33,636.75 = $18,558.75 + [($145,000 - $91,150) x 28%]
Tax on b above ( e) $7,500.00 = $50,000 x 15%
Total Income tax (f) $41,136.75 (d + e)
Investment Income, if any (g) $380 Only $10,000 is taxed at 3.8%, only ($210,000 - $200,000) i.e. $10,000
Net Income tax payable $41,516.75 (f + g)
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for a circle with a diameter of 4 centimeters, what is its exact area?
Answers
Solution
The area of a circle with diameter d is
[tex]\begin{gathered} A=\pi(\frac{d}{2})^2 \\ \\ A=\pi(\frac{4}{2})^2 \\ \\ A=4\pi \end{gathered}[/tex]Therefore, the exact area is 4π centimeters square.
Determine the check digit (d) for the UPC bar code number 2-91273-05213-d. Show your work?
Answers
the given UPC bar code digit is
2- 91273 - 05213 - d
for determining d we will follow the rule
first, we sum up all the odd place numbers
like
2 + 1 + 7 + 0 +2 + 3 = 15
then multiply with 3
15 * 3 = 45
then
we sum up all the even place numbers,
9 + 2 + 9 +5 + 1 = 26
now we will add these two results
26 + 45 = 71
now we can see that 71 is 9 less than the next multiple of 10 that is 80 in this case'
80 - 71 = 9
so the answer is
d = 9 .
Fill in the boxes with numbers and operations to reflect the equation of the circle after the transformations
Answers
Given the equation of the circle:
[tex]x^2+4x+y^2-12y=-24[/tex]We will complete the squares for x and y to write the equation of the circle as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where (h,k) is the coordinates of the circle and r is the radius of the circle
so, the equation will be:
[tex]\begin{gathered} (x^2+4x+4)+(y^2-12y+36)=-24+4+36 \\ \\ (x+2)^2+(y-6)^2=16 \\ \\ (x+2)^2+(y-6)^2=4^2 \end{gathered}[/tex]So, the radius of the circle = 4
And the center of the circle = ( -2, 6 )
Now, we will make the transformation for the circle:
Shift 1 unit up, the center will be = ( -2, 7 )
shift 2 units right, the center will be = ( 0, 7 )
Reflection across the x-axis, the center will be = ( 0, -7)
So, the equation of the circle after transformation will be:
[tex](x-0)^2+(y+7)^2=4^2[/tex]So, the answer will be:
[tex](x-0)^2+(y+7)^2=16[/tex]set M below consist of the positive even integer less than or equal to 20. M = 2,4,6,8,10,12,14,16,18,20 . if a number from set M is selected at a 4random, what is the probability that the number selected will be A factor of 12
Answers
the set consist totally 10 numbers,p(s)=numbers divided by 12/total number
[tex]\text{total number of factors os 12 is 4}[/tex][tex]so,\frac{4}{20}=0.2[/tex]Please answer urgently.
I will give brainliest to best answer.
All answers given will be appreciated.
3x( 4x +7 ) + 3( 8 + 2 ) = 11( 2x + 3 ) + 11
?
Answers
Answer:
[tex]x=\dfrac{1 +\sqrt{673}}{24}, \quad x=\dfrac{1 -\sqrt{673}}{24}[/tex]
Step-by-step explanation:
Given equation:
[tex]3x( 4x +7 ) + 3( 8 + 2 ) = 11( 2x + 3 ) + 11[/tex]
Distribute the parentheses:
[tex]\implies 12x^2+21x+24+6=22x+33+11[/tex]
[tex]\implies 12x^2+21x+30=22x+44[/tex]
Subtract 22x from both sides:
[tex]\implies 12x^2+21x+30-22x=22x+44-22x[/tex]
[tex]\implies 12x^2-x+30=44[/tex]
Subtract 44 from both sides:
[tex]\implies 12x^2-x+30-44=44-44[/tex]
[tex]\implies 12x^2-x-14=0[/tex]
Use the quadratic formula to solve for x.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]\implies a=12, \quad b=-1, \quad c=-14[/tex]
Therefore:
[tex]\implies x=\dfrac{-(-1) \pm \sqrt{(-1)^2-4(12)(-14)}}{2(12)}[/tex]
[tex]\implies x=\dfrac{1 \pm \sqrt{1+673}}{24}[/tex]
[tex]\implies x=\dfrac{1 \pm \sqrt{673}}{24}[/tex]
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions
Answers
Outcomes are the possible pairings of crust and pizza that Heather can choose. Based on the tree diagram, we see that there are 12 possible pairings starting from (thin, onions) to (pan mushrooms). Hence, there are 12 outcomes.
Based on the list of outcomes, there is only 1 outcome in which both the regular crust and sausage are chosen.
Lastly, for pepperoni OR mushroom being chosen, let's take a look and count.
There are 6 outcomes in which pepperoni or mushrooms were chosen.
Last week, a share stock gained a total of 1.64 points. Express this gain as a mixed number in simplest form.
Answers
Answer: [tex]1\frac{16}{25}[/tex]
Step-by-step explanation:
1.64 is 1 64/100. Now to get the simplest form find a number you can divide both the numerator and the denominator by, like 4. Now you have 1 16/25. 16 and 25 do not have a common number you can divide both by so it is the simplest form.
Please help me with my geometry
Answers
Answer:
m∠E = 52°
Step-by-step explanation:
You seem to want a step-by-step explanation of the logic to find the measure of angle E.
There are a number of approaches you might take to this. Here is one.
[tex]\begin{array}{ccc}\text{Step}&\text{Angle}&\text{Reason}\\1&m\angle C=64^\circ&\text{Given}\\2&m\angle ADE=64^\circ&\textsf{Corresponding angles}\\3&m\angle DAB=64^\circ&\textsf{Alternate interior angles}\\4& m\angle DAE=64^\circ& \textsf{Angle bisector de}\textsf{finition}\\5& m\angle E=52^\circ&\textsf{Sum of angles in a triangle}\end{array}[/tex]
The measure of angle E is 52°.
Larry needs to change a light bulb in the celling. Larry leans a 16 foot ladder against the wall with its base 5 feet away from the wall. Which is the closest to the distance of the height of the wall to the top of the ladder?
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
ladder = 16 feet
base = 5 feet
height = ?
Step 02:
Pythagoras Theorem Formula
c ² = a² + b²
16 = c
5 = b
height = a
16² = a ² + 5²
16² - 5² = a²
[tex]\sqrt[]{231\text{ }}\text{ = a}[/tex]15.2 = a
The answer is:
The distance to the top of the ladder is 15.2 feet
The question is in the photo. Complete the fourth one.
Answers
Question number 4
Given:
One side of a right-angled triangle 6 and the hypotenuse of the triangle 10
Required:
Another side of the triangle
Explanation:
For the right-angled triangle, Pythagorean theorem is applied which is
[tex]a^2+b^2=c^2[/tex]where
a=side of the right triangle
b=side of the right triangle
c=hypotenuse
so hypotenuse =
[tex]\sqrt{(10^2-6^2)}=8[/tex]Final Answer:
8
Need help with this one. Instructions are: Determine whether the triangles are similar. If so, write a similarity statement. If not,what would be sufficient to prove the triangles similar? Explain your reasoning.
Answers
ANSWER :
Triangles UWY and UXZ are similar
EXPLANATION :
Two triangles are similar if the ratio of their corresponding sides is the same.
We can try UW/UX, WY/XZ, and UY/UZ
[tex]\begin{gathered} \frac{UW}{UX}=\frac{8}{8+3.2}=\frac{8}{11.2}\quad or\quad\frac{5}{7} \\ \\ \frac{WY}{XZ}=\frac{10}{14}=\frac{5}{7} \\ \\ \frac{UY}{UZ}=\frac{5}{5+2}=\frac{5}{7} \end{gathered}[/tex]Since the ratios are the same, then the triangles are similar.
1.6) What is the solution to the system? x+3y = 5 5x-3y = 7
Answers
The given system of equations is expressed as
x + 3y = 5
5x - 3y = 7
The first step is to add both equations.
The sphere at the right fits snugly inside a cube with 4-in. edges. What is the approximate volume of the space between the sphere and cube?
Answers
As given by the question
There are given that the inside edge is 4 in.
Now,
Since sphere fits snugly inside a cube therefore diameter of sphere will be equal to side of the cube
So,
[tex]\begin{gathered} \text{diameter}=4\text{ inches} \\ \text{radius}=\frac{dameter}{2} \\ \text{radius}=\frac{4}{2} \\ \text{radius}=2 \end{gathered}[/tex]Then,
Volume of the sphere is given by:
[tex]\begin{gathered} \frac{4}{3}\times\pi\times r^3=\frac{4}{3}\times3.14\times2^3 \\ =\frac{4}{3}\times3.14\times8 \\ =33.5 \end{gathered}[/tex]And,
The volume of a cube is:
[tex]\begin{gathered} \text{Volume of cube=side}\times side\times side \\ =4\times4\times4 \\ =64\text{ inches} \end{gathered}[/tex]Then,
The volume of the space between the sphere and cube = 64-33.5 = 30.5.
Hence, the answer is 30.5 cube inches.
