Answer:
D. [tex] \frac{79}{6} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{7}{2} - \frac{1}{3} \bigg).( - 2)^{2} + \frac{1}{2} \\ \\ = \bigg( \frac{7 \times 3 - 1 \times 2}{2 \times 3} \bigg).4 + \frac{1}{2} \\ \\ = \bigg( \frac{21 - 2}{6} \bigg).4 + \frac{1}{2} \\ \\ = \frac{19}{6} \times 4 + \frac{1}{2} \\ \\ = \frac{19}{3} \times 2 + \frac{1}{2} \\ \\ = \frac{38}{3} + \frac{1}{2} \\ \\ = \frac{38 \times 2 + 1 \times 3}{3 \times 2} \\ \\ = \frac{76 + 3}{6} \\ \\ = \frac{79}{6} [/tex]
Lamar ordered some books online for 6$ each. He paid a total of 3$ for shipping. The total cost of the purchase was 75$ . How many books did he buy?
Answer:
He bought 12 books.
Step-by-step explanation:
Here is your equation: 6 b+3=75
Step 1- Subtract 3 from both sides: 6 b+3-3=75-3
6 b=72
Step 2- Divide by 6: 6 b/6=72/6
b = 12 books in total.
is 10227 a rational number?
Answer:
Yes, 10227 is a rational number
Step-by-step explanation:
10227 is whole number, an integer, a counting number. For a number to be rational it has to be a integer, a counting number, a whole number, a fraction, and a terminating decimal. A decimal that repeats like 3.3333 is also rational because it can be predicted. Pi or 3.14 is not predictable
27 = -4x + 11
I need it done ASAP
27=-4x+11
27-11= 16
16/-4= -4
x=-4
[tex]\text {Hello! Let's Solve this Equation!}[/tex]
[tex]\text {\underline {The First Step is to Flip the Equation}}[/tex]
[tex]\text {Before: 27=-4x+11}\\\text {After: -4x+11=27}[/tex]
[tex]\text {\underline {The Next Step is to Subtract 11}}[/tex]
[tex]\text {-4x+11-11=27-11}[/tex]
[tex]\text {Your New Problem Is: -4x=16}[/tex]
[tex]\text {\underline {The Final Step Is to Divide -4}}[/tex]
[tex]\text {-4x/-4=16/-4}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\fbox {x=-4}[/tex]
[tex]\text {Best of Luck!}[/tex]
2 2/3 divided by 4
help
Answer:
[tex]\frac {2} {3}[/tex] is the answer
Step-by-step explanation:
[tex]\frac {8} {3}[/tex]÷[tex]\frac {4} {1}[/tex] can be turned into [tex]\frac {8} {3}[/tex]·[tex]\frac {1} {4}[/tex] using the KCF method. now we solve:
8\4=2
[tex]\frac {2} {3}[/tex] is the answer
Find the total earnings based on the given information.
Base: $22,000, Total Sales: $99,000, Commission: 3%
Enter the correct answer in the box.
Answer:
$24,970
Step-by-step explanation:
22,000+(99,000•0.03)=22,000+2,970=24,970
HELP. GET YA MONEY HERE.
Answer:
so the dude above me can get brainliest :)
Step-by-step explanation:
inverse of f(x)=3/2x +6
Answer:
f(x) = (x - 6)/(3/2)
Step-by-step explanation:
What is the slope of the line that passes through the points (-8, -6) and (-18, 6) ? Write your answer in simplest form.
Answer:
y=12/10-15.6
Step-by-step explanation:
The slope of the line is [tex]-\frac{6}{5}[/tex].
To understand more, check below explanation.
Slope of line:The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that , points are (-8, -6) and (-18, 6)
So that,
[tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]
Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].
Learn more about the slope of line here:
https://brainly.com/question/3493733
Find the value of f(5) for the function.
f(a)=7(a+3)-4
f(5)=
Answer:
f(5)=52
Step-by-step explanation:
f(a)=7(a+3)-4
f(5)=7(5+3)-4
f(5)=7(8)-4
f(5)=56-4
f(5)=52
Combine like terms and write an equivalent expression with fewer terms. 4x + 3x Group of answer choices
7x2
7x
12x2
12x
Answer:
7x
Step-by-step explanations:
4x + 3x
7x
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Is the answer y=2x+3 ??
Answer:
y = -1/2x + 9
Step-by-step explanation:
y - 7 = -1/2(x - 4)
y - 7 = -1/2x + 2
y = -1/2x + 2 + 7
y = -1/2x + 9
what is the answer for 2 (a-b)-(b-a)
Answer:
3a - 3b
Step-by-step explanation:
Given
2(a - b) - (b - a)
Distribute the first parenthesis by 2 and the second by - 1
= 2a - 2b - b + a ← collect like terms
= 3a - 3b
Answer:
[tex]3a-3b[/tex]
Step-by-step explanation:
[tex]2(a-b)-(b-a)=2(a-b)-b+a=2a-2b-b+a=3a-3b[/tex]
♦HURRY PLEASE!!! ♦
↓
Don't worry about the answer choice that is highlighted : )
Answer:
It's 3
Step-by-step explanation:
Bc it's placed before and it's multiplying the variable in the algebraic expression
How can you find the side length of the square of Kendra wants exactly 1,000 feet
Simplify the expression
Answer:
33
Step-by-step explanation:
You have to do the problem in the brackets and then multiply by 3
Answer:
33
Step-by-step explanation:
{(3+5)x2-5}x3
{8x2-5}x3
{16-5}x3
{11}x3
33
Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?
HI PLEASE HELP AH - ill mark brainliest !
if you flip three coins, the probability of getting three heads is 1/8. Interpret this probability.
The interpretation of the probability is there is a 12.5% chance of obtaining three heads when three coins are flipped
The probability is given as:
[tex]\mathbf{Pr = \frac 18}[/tex]
The above represents the probability of flipping a head three times.
Express as decimal
[tex]\mathbf{Pr = 0.125}[/tex]
Express as percentage
[tex]\mathbf{Pr = 12.5\%}[/tex]
This means that, there is a 12.5% chance of obtaining three heads when three coins are flipped
Read more about probability at:
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PLEASE HELP YALL
simplify the expression:
-3 (4u -9)
Answer: (-12u+27)
Step-by-step explanation: I distributed the negative 3
2
Which expression is equivalent to 7a^3(6a^2+a)^2-4a^6?
Answer:
A
Step-by-step explanation:
if k = -3 what is the value of k + (2k - 10) ?
A. –19
B. –7
C. 1
D. –14
Answer:
A
Step-by-step explanation:
We have the expression [tex]k+(2k-10)[/tex]
We want to find the value when k is -3. So, substitute -3 for k and evaluate:
[tex]\Rightarrow (-3)+(2(-3)-10)[/tex]
Multiply:
[tex]=-3+(-6-10)[/tex]
Subtract:
[tex]=-3+(-16)[/tex]
Add:
[tex]=-19[/tex]
Therefore, our answer is A.
The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-15, 8)
Answer:
y = -5/4x - 10.75
Step-by-step explanation:
First, put the equation in slope intercept form by isolating y:
5y - 4x = 10
5y = 4x + 10
y = 4/5x + 2
Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4
Plug in the slope and the given point into y = mx + b to find b:
y = mx + b
8 = -5/4(-15) + b
8 = 18.75 + b
-10.75 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = -5/4x - 10.75
Answer:
5x + 4y + 43 = 0
Explanation:
y=mx+b
m=slope
b=y intercept
perpendicuar lines have slopes that multiply to get -1
so
solving for y
add 4x both sides and divide by 5 to get
y=4/5x+2
slope is 4/5
perpendicular means the slopes multiply to get -1
so
4/5 times what=-1?
what=-5/4
so
y=(-5/4)x+b
find b
given the point (-15,8)
8=(-5/4)(-15)+b
8=75/4+b
-43/4=b
y=(-5/4)x-43/4
convert to standard form:
5x + 4y + 43 = 0
Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will
an artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the
price increase goes into effect
Answer:
Step-by-step explanation:
We don't know the first price?
PLEASE HELP MEEEEEEEEEEEEE
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ:
Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively.
According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, angle VQT is congruent to angle WRS by the ________ Property.
Which property of equality accurately completes the proof?
А Reflexive
B Substitution
C Subtraction
D Transitive
Answer:
The correct answer is Transitive
Find the sum to infinity of the infinite G.P.
1-½+¼........
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The sum to infinity of a GP is
[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1
where a is the first term and r the common ratio
Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus
[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
1-1/2+1/4.....
[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]
2
Type the correct answer in each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 – 4i
Equation B (t + yi) - (-6 + 14i) = 18 + 2i
In equation A, I =
and y =
.
In equation B, 1 =
and y =
Reset
Next
Answer:
Equation A: x = -1 and y = 3
Equation B: x = 12 and y = 16
Step-by-step explanation:
In the complex numbers (a + bi) and (x + yi)
(a + bi) + (x + yi) = (a + x) + (b + y)i(a + bi) - (x + yi) = (a - x) + (b - y)iEquation A
∵ (x + yi) + (4 – 7i) = 3 – 4i
∴ (x + 4) + (y - 7)i = 3 - 4i
→ Compare the real parts and compare the imaginary parts
∴ x + 4 = 3 and y - 7 = -4
∵ x + 4 = 3
→ Subtract 4 from both sides
∴ x + 4 - 4 = 3 - 4
∴ x = -1
∵ y - 7 = -4
→ Add 7 to both sides
∴ y - 7 + 7 = -4 + 7
∴ y = 3
Equation B
∵ (x + yi) - (-6 + 14i) = 18 + 2i
∴ (x - -6) + (y - 14)i = 18 + 2i
→ (-)(-) = (+)
∴ (x + 6) + (y - 14)i = 18 + 2i
→ Compare the real parts and compare the imaginary parts
∴ x + 6 = 18 and y - 14 = 2
∵ x + 6 = 18
→ Subtract 6 from both sides
∴ x + 6 - 6 = 18 - 6
∴ x = 12
∵ y - 14 = 2
→ Add 14 to both sides
∴ y - 14 + 14 = 2 + 14
∴ y = 16
Answer: In equation A, -1 and 3 . In equation B, 12 and 16 .
picture below
Step-by-step explanation:
x=8 5x3-7+x
find the quotient
Answer: yes
Step-by-step explanation:
help me please I need an answer now, please
Answer:
can you re-upload the picture its blurry
Step-by-step explanation:
Graph the line that passes through the points (-2,2) and (-4,2) and determine the equation of the line
[tex]y = 2[/tex]. That's your equation.
The graph is the attachment.
Square root 2-x =x-2
Answer:
The square root of 2-x+x-2 is the square root of x (2-x)
Step-by-step explanation:
Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'.
What is the area of rectangle A'B'C'D'?
Answer:
12
Step-by-step explanation:
Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)
The area of rectangle before and after the 95° degrees rotation about point Q will be same.
What is the area of a Rectangle?
The area of a rectangle is the product of its length and width. Mathematically -
Area = length x width
Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'
The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.
Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.
To solve more questions on orientation of shapes, visit the link below-
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