______________________________
Hey!!
Solution,
(5x-8y+7z)+(6y-4x-3z)
= 5x-8y+7z+6y-4x-3z
= 5x-4x-8y+6y+7z-3z
= x-2y+4z
Hope it helps..
Good luck on your assignment
_____________________________
Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)
Solve this equation: 3x –1/5- 2/9x= 124/5
Step 1: Simplify by combining like terms. Which terms can
be combined?
Answer:
x = 9
Step-by-step explanation:
Given
3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides
3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side
[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )
25x = 225 ( divide both sides by 25 )
x = 9
I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !
Answer:
A = 2 (on the left). 10 (on the right)
Step-by-step explanation:
Use pythgaros therom
Do 7^2 - 3^2 = 40
Do square root of 40 which equals the answer
Will give brainliest answer
Answer:
[tex]72.16 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.
A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units
Answer: 63 square units
Step-by-step explanation:
Area of a parellelogram = b x h
7 x 9 = 63 square units
Answer:
63
The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9
7 x 9 = 63
Step-by-step explanation:
please help, I don’t understand.
Answer: The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Step-by-step explanation:
You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.
From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:
A = 90° - 40° =50°
(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)
Now, we want to find the opposite cathetus to this angle, so we can use the relation:
Tan(A) = Opposite cath/adjacent cath.
And we know that the adjacent cathetus, the tower, is 324m long.
then:
Tan(50°) = X/324m.
Tan(50°)*324m = X = 386.1m
now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.
So we have:
Tan(35°) = X/324m
Tan(45°)*324m = 226.9m
then:
The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)
Answer:
x^3 + 3x^2 + 4x + 12
7
jet flies over the Air Force Base at 10:20
am At 10:32 am, the plane passes over the
Ilary Base Station, 120 miles away. How fast
is the aircraft traveling?
Answer:
The speed of aircraft is 600 mph.
Step-by-step explanation:
Given distance = 120 miles
Time for which jet flew : from 10:20 AM to 10:32 AM
Total duration for which jet flew = 10:32 - 10:20 = 12 minutes
(from 10 hours 32 minutes and 10 hours 20 minutes
10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)
here time is in minutes, we have to convert it in hours
we know
60 minutes = 1 hour
1 minutes = 1/60 hour
multiplying LHS and RHS by 12
1*12 minutes = (1/60) *12hour
12 minutes = (1/60) *12hour
12 minutes = 1/5 hours
We know
speed = distance / time
distance = 120 miles
time = 1/5 hours
speed = 120 miles/ (1/5 hours)
speed = 120 * 5 mph = 600 mph
The speed of aircraft is 600 mph.
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answer:
≈ 0.7% error
Step-by-step explanation:
To solve for percent error, first you have to do 0.1354-0.1364 and take the absolute value, which is 0.001.
Then, divide 0.001 by 0.1364, and then multiply by 100, and the answer is 0.007331378299.
The percent error is approximately 0.7%
The volume of a cylinder is 576, cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?
Answer:
36 / pi = h
Using 3.14 for pi
h =11.46496815 inches
Using the pi button
h =11.45691559 inches
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the volume and the radius
576 = pi ( 4)^2 h
576 = pi 16 h
Divide each side by 16 pi
576/16 pi = pi 16 h/ 16 pi
36 / pi = h
Using 3.14 for pi
h =11.46496815 inches
Using the pi button
h =11.45691559 inches
What is the product?
(6 r minus 1)(negative 8 r minus 3)
negative 48 r squared minus 10 r + 3
negative 48 r squared minus 10 r minus 3
negative 48 r squared + 3
negative 48 r squared minus 3
Answer:
The answer is option 1.
Step-by-step explanation:
You have to use Distributive Laws,
[tex]a(b + c) = ab + ac[/tex]
So for this question :
[tex](6r - 1)( - 8r - 3)[/tex]
[tex] = 6r( - 8r) + 6r( - 3) - 1( - 8r) - 1( - 3)[/tex]
[tex] = - 48 {r}^{2} - 18r + 8r + 3[/tex]
[tex] = - 48 {r}^{2} - 10r + 3[/tex]
The product of the expression is (6r - 1) (-8r - 3) is negative 48 r squared minus 10 r + 3.
What is an algebraic expression?Algebraic expression is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.
According to this question, the following expression is given:
(6r - 1) (-8r - 3)
6r × -8r = -48r²- 1 × -8r = 8r6r × -3 = -18r-1 × -3 = 3Therefore, the product of the expression is -48r² -10r + 3
Learn more about algebra at: https://brainly.com/question/953809
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Use the Zero Product Property to solve each equation.
2x2 - 5x + 2 = 0
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]4x-5x+2=0[/tex]
Which function equation is represented by the graph? f(x)=12(4/3)x f(x)=12(1/2)x f(x)=12(3/2)x f(x)=12(2/3)x
it’s d; f(x)= 12 (2/3)^x
please help and explain i will mark brainliesttt!
Answer:
y=(8/5)x-(24/5)
Step-by-step explanation:
lets find the slope
m=(y2-y1)/(x2-x1)
m=(8-0)/(8-3)
m=8/5
y=(8/5)x+b
lets find b, the y-int by plugging in a point
0=(8/5)*3+b
0=24/5+b
b=-24/5
y=(8/5)x-(24/5)
F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?
Answer: -3
Step-by-step explanation:
The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.
a=-2
b=-1
f(b)=f(-1)=(-1)²+10=11
f(a)=f(-2)=(-2)²+10=14
With our values listed, all he have to do is to plug them in.
[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]
HELP FOR BRAINLIEST ANSWER Ben bowled 126 and 220 in his first two games. What must he bowl in his third game to have an average of at least 190?
Answer:
224
Step-by-step explanation:
I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.
Answer:
224
Step-by-step explanation:
190x3=570
570-126-220=224
So ben must bowl a 224
PLEASE HELP ASAP!!
Kaylee solves the equation below by first squaring both sides of the equation.
[tex]1-y=\sqrt{2y^{2} -7}[/tex]
What extraneous solution does Kaylee obtain?
y=???
Answer:
2
Step-by-step explanation:
Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.
The extraneous solution obtained by Kaylee is y = 4.
To solve the equation, let's follow Kaylee's approach and square both sides:
[tex](1 - y)^2 = (2y^2 - 7)[/tex]
Expanding the left side:
[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]
Rearranging the equation and combining like terms:
[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]
Now, to solve this quadratic equation, we can factor it:
-(y - 4)(y + 2) = 0
Setting each factor equal to zero:
y - 4 = 0 or y + 2 = 0
Solving for y in each equation:
y = 4 or y = -2
However, we need to check if these solutions are extraneous by substituting them back into the original equation:
For y = 4:
[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]
-3 ≠ 5
For y = -2:
[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]
From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.
Therefore, the extraneous solution obtained by Kaylee is y = 4.
To know more about extraneous solution, refer here:
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A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.
To know his real phone number, he gave the student the following conditions:
1. Eight (8) must come between two zeros (0's).
2.The first number after the first condition is met must not be an odd number and it must be greater than 5.
3. The seventh number must be 1.
4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.
5. The fifth and sixth numbers are greater than 2.
6. The ninth and tenth numbers are the same.
7. The eighth number is greater than the last number.
8. The phone number must be 11 digits.
What was the Professor's real phone number?
Answer:
I found 608054144112
If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one
A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle
The perimeter of rectangle is 10x-2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Answer:
10x-2
Step-by-step explanation:
We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.
Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x. That is the sum of the two widths.
To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)
(Teaser) Is it possible to have a triangle whose all three altitudes intersect at one of the vertices of that triangle?
answer can be.. YES or NO
Answer:
yes
Step-by-step explanation:
yes
Can you Please help me
Answer:
45/12
Step-by-step explanation:
first open the brackets +(-5½)= -5½
-7⅔-5½+8¾ put liketerms together
8¾-5½-7⅔
(find the LCM of the denominator 4,2,3 that is 12)
change the improper fraction to proper fraction 35/4-11/2-23/3.
(multiply by the 12 to make the denominator same)
(35/4x12)-(11/2x12)-(23/3x12)
105-66-92 = -53/12
12
=-45/12
On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
What are fractions?
Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number on the bottom of the line is called the denominator.
Given is the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
We have the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
On solving, we get -
- 23/3 - 11/2 + 35/4
35/4 - 23/3 - 11/2
(105 - 92 - 66)/12
(105 - 158)/12
-53/12
-4[tex]\frac{5}{12}[/tex]
Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
To solve more questions on fractions, visit the link below-
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The multiplication property of equality could be used to solve which of the following equations?
4x = 5
X + 5 = -4
8/X= 1
(x + 5)(4x - 1) = 0
Answer:
8/X= 1
Step-by-step explanation:
"8/X= 1" requires the multiplication property of equality for 'x' to get solved.
[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]
Answer:
Step-by-step explanation:
I would probably say C which is 8/X= 1.
The first one uses the division property of equality.
The second uses the subtraction property of equality.
The third uses multiplication property of equality, which basically means mulitplying both sides of an equation by the same quantity.
The last one does not follow any property that I am aware of or am acquainted with.
hich equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply. 3 x minus 2 y = 4 2 x minus 3 y = 12 Negative 4 (2 x minus 3 y) = negative 4 (12) 2 (x + 6) = 3 y 2 x minus 3 y = 4
Answer:
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{2}{3}x - 4[/tex]
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]
[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]
[tex]3y = 2x - 12[/tex] ---- Equation 1
Subtract 3y from both sides
[tex]-3y + 3y = 2x - 12 - 3y[/tex]
[tex]0 = 2x - 12 - 3y[/tex]
Add 12 to both sides
[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]
[tex]12 = 2x - 3y[/tex]
Rearrange:
[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex] ---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]
Answer:
Answer:
Step-by-step explanation:
Given
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
---- Equation 1
Subtract 3y from both sides
Add 12 to both sides
Rearrange:
---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to
Step-by-step explanation:
help sleepyhelp asap
Answer:
The one that has the number of meals in the side and the one that has number of days
Step-by-step explanation:
If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has
Hope this helps
What is x ?
f(x)=−3
x = ?
Having a hard time on these 2
Answer:
3. A = 363.3 mm²
4. A= A = 1122.4 yd²
Step-by-step explanation:
pretty sure these are correct
plz mark brainliest!
There are 15 boys and 16 girls in Gabriel’s class. One person is chosenat random. What is the probability that the person chosen to hand out books is a girl?
Answer:
16/31 or ≈ 52%
Step-by-step explanation:
1. Find the total students in the class.
15 + 16 = 31
2. Make a fraction (girl/total students)
16/31
Your answer as a fraction is 16/31. If you have to change it to a percent, you would get around 52%.
30 POINTS FOR THIS ONE
1.
In the equation 0.5x - 8 = 1.5, the decimal coefficient is ___________________.
2.
In the equation 3/4y + 1/2 = 3 1/4, the fractional coefficient is _____________________.
3.
In the equation -2 - 6b = 32, the negative coefficient is ___________________.
4.
In the equation 5x + 9 = 3x, 3x is a like term with _______________________.
Answer:
1. 0.5
2. 3/4
3. -6
4. 5x
Step-by-step explanation:
1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.
The decimal coefficient is therefore 0.5. It is the coefficient of x.
2. The fractional coefficient is 3/4. It is the coefficient of y.
3. The negative coefficient is -6. It is the coefficient of b.
4. A like term is one which contains the same type of terms as another term.
3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.
Solve the quadratic equation by taking square roots.
1. 2x 2 - 16 = 0
2. -5x2 + 9 = 0
3. 6x2 - 15 = 27
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4-column table with 3 rows. The first column has no label with entries L A residents, N Y C residents, total. The second column is labeled own a car with entries 3,251; 1,478, 4,729. The third column is labeled do not own a car with entries 869; 6,182; 7,051. The fourth column is labeled total with entries 4,120; 7,660; 11,780. Which statement about the two-way frequency table is true? The survey represents quantitative data. There is a greater percentage of LA residents who own a car than NYC residents who do. The total number of people in the poll who own a car is 4,120. More people in the poll own a car than do not own a car.
Answer:
The correct option is;
There is a greater percentage of LA residents who own a car than NYC residents who do
Step-by-step explanation:
The values are presented as follows;
LA residents who own a car = 3251
NYC residents who own a car = 1478
Total residents who own a car = 4729
LA residents who do not own a car = 869
NYC residents who do not own a car = 6182
Total residents who do not own a car = 7051
Total LA residents sampled = 4120
Total NYC residents sampled = 7660
Total residents of both cities sampled = 11780
Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%
Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%
The total number of people in the poll who own a car = 4729
Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.
Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.
