Answer:
The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides
She wrote 5/4+3/4 instead of 5/4-3/4
Step-by-step explanation:
Correct solution:
[tex] \frac{3}{4} + m = \frac{5}{4} [/tex]
Subtract-3/4 from both sides
[tex] \frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4} [/tex]
Simplify
[tex]m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2} [/tex]
The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign and She wrote 5/4 + 3/4 instead of 5/4-3/4.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have given the expression as
⇒ 3/4 + m = 5/4
The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign.
She wrote 5/4 + 3/4 instead of 5/4-3/4
Here is the correct work :
Subtract 3/4 from both sides from the equation,
⇒ 3/4 + m - 3/4 = 5/4 - 3/4
⇒ m = (5 - 3)/4
⇒ m = 2/4
⇒ m = 1/2
Learn more about the arithmetic operations here:
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Simplify the expression 7 - X-(-5x) - 10 + 4x.
What is (0.83)4 rounded to the nearest hundredth?
Answer:
3
Step-by-step explanation:
determine the prime factors of 84 in tree map
Step-by-step explanation:
I hope i got it right...
Inverse Function f(x)= 5 -1/3x
Answer:
f(x)⁻¹ = -3x + 15
Step-by-step explanation:
y = -1/3x + 5
x = -1/3y + 5
x - 5 = -1/3y
(x - 5)(-3) = y
-3x + 15 = y
“c.” isnt part of the question fyi
this is for AP Calculus
Answer:
-2/3
Step-by-step explanation:
[tex]\ln{\dfrac{1}{\sqrt[3]{e^2}}}=\ln{e^{-\frac{2}{3}}}=-\dfrac{2}{3}[/tex]
∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.
Answer:
∠B = 48°Step-by-step explanation:
Since ∠A and ∠B are complementary angles their angles sum up to 90°.
In order to find ∠B add both ∠A and ∠B and equate them to 90° and solve for ∠B
That's
∠A + ∠B = 90
42 + ∠B = 90
∠B = 90 - 42
We have the final answer as
∠B = 48°Hope this helps you
Answer:
∠B = 48°
Step-by-step explanation:
A Complementary angles are total of 90°
If the measure of ∠A is 42°, find the measure of ∠B:
∠A + ∠B = 90°
42° + ∠B = 90°
∠B = 90° - 42°
∠B = 48°
What are the differences and similarities between a bar graph and a histogram?
Answer:
With bar charts, each column represents a group defined by a categorical variable; and with histograms, each column represents a group defined by a continuous, quantitative variable.
Step-by-step explanation:
hope that helps
someone help me please
Answer:
-x^2 + 2x + 1
Step-by-step explanation:
Standard form of a polynomial is Ax^2 + Bx + C. (Highest degree to lowest degree)
-x^2 + 2x + 1.
To which subset of the real number system does the number LaTeX: 1.\overline{5}
1.
5
¯
belong?
Group of answer choices
whole numbers
irrational numbers
rational numbers
natural numbers
Answer:
[tex]\frac{1}{2}[/tex] is a rational number
Step-by-step explanation:
Given
[tex]Real\ Number = \frac{1}{5}[/tex]
Required
Determine which set of numbers it belongs to
Analyzing the options one after the other;
1. Whole numbers: 0, 1, 2, 3....
2. Natural numbers: 1, 2, 3, 4... 3.
3. Irrational numbers are numbers that can't be expressed as fractions
The option that answers this question is rational numbers because [tex]\frac{1}{2}[/tex] can be expressed as decimal and fraction interchangeable.
Hence;
[tex]\frac{1}{2}[/tex] is a rational number
Help please thank youu <3
Answer:
4. 10m+50=200
Step-by-step explanation:
10m meaning hes getting 10 each month that's why the m is there and on too he is getting another 50 which is why you would need to add 50 and obviously a total of 200 is at the end
Answer:
4) 10m+50 = 200
Step-by-step explanation:
As here "m" denotes "month" , Maxs save $10 a month so it is - 10m .
$50 for grandma and he need to save $200.
So we get the equation :
10m+50=200
Can someone please help?
Answer:
x² - 1
Step-by-step explanation:
When x - 1 = 3 and x + 1 = 5 we know that x = 4 so (x - 1)(x + 1) = 4² - 1 when x = 4, 5² - 1 when x = 5 and so on. If you look carefully you will notice a pattern, the product is always x² - 1 so the answer to the blank is x² - 1.
Someone help I’m stuck on this
Answer: 1 is 2 rectangles, 4 in a triangle and a rhombus I think.
Step-by-step explanation:
It says what would the shapes be shown as if it was split on the line.
Make y the subject of the following: 7(y-3)=4(3-y) no spamming
Answer:
y = 3Step-by-step explanation:
7(y - 3) = 4(3-y)
7y - 21 = 12 - 4y
+4y +4y
11y - 21 = 12
+21 +21
11y = 33
÷11 ÷11
y = 3
Which type of conic section is described by the equation 4x^2 = 10 +y^2? Due in 2 HOURS, will give BRAINLIEST! A. Ellipse B. Circle C. Parabola D. Hyperbola
Answer:
c
Step-by-step explanation:
Hyperbola is the conic section described by the equation 4x² = 10 +y²
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
To identify the type of conic section from an equation whether it is circle, or ellipse a let suppose the equation as,
Ax²+By²+Cx+Dy+E=0
The given equation is 4x² = 10 +y²
4x²-y²=10
Divide the whole equation by 10
4x²/10 - y²/10=1
2x²/5- y²/10=1
x²/(1/2)- y²/10=1
The given equation is in the form of hyperbola.
Hence, hyperbola is the conic section described by the equation 4x² = 10 +y²
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easy 10 points and brainliest!
Answer:
x must be 0
Step-by-step explanation:
because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0
Answer:
x = 0
Step-by-step explanation:
If the point (x,y) is on the y-axis, that means the x coordinate is 0. The point can travel vertically anywhere on the axis, but not left or right of the axis.
Cheers.
Plz plz ans this with explanation
Answer:
D
Step-by-step explanation:
Least common denominator of 7 and 8 = 56
[tex]\frac{-1}{8}=\frac{-1*7}{8*7}=\frac{-7}{56}\\\\\\\frac{1}{8}=\frac{1*7}{8*7}=\frac{7}{56}\\\\\\\frac{-1}{7}=\frac{-1*8}{7*8}=\frac{-8}{56}\\\\\\\frac{1}{7}=\frac{1*8}{7*8}=\frac{8}{56}[/tex]
-8/56 , -7/56 , 7/56 , 8/56 ,
-1/7 , -1/8 , 1/8 , 1/7
WILL GIVE BRAINLIEST TO THE FORST PERSON WHO ANSWERS THIS!! In the diagram below, lines AB and ED are parallel. Angle < BCD is a right angle and < CBF = 125 Find angle CDE.
Answer:
35°
Step-by-step explanation:
Produce BC in the direction of C which intersects DE at any point say P.
AB || ED... (given)
So, BP would be transversal.
[tex] \therefore m\angle DPB + m\angle FBP = 180\degree\\... (By\: interior \: \angle \: Postulate) \\
\therefore m\angle DPB + 125\degree = 180\degree\\
\therefore m\angle DPB = 180\degree - 125\degree \\
\huge \red {\boxed {\therefore m\angle DPB = 55\degree}} \\
m\angle DCP = 180\degree - 90\degree \\
m\angle DCP = 90\degree \\
x = 180\degree - (90\degree + 55\degree) \\
x = 180\degree - 145\degree \\
x = 35\degree [/tex]
The value of x or the angle CDE will be 35 degrees.
What is the opposite angle theorem?The theorem of vertical angles or angles that are vertically opposing According to the theorem, two opposing vertical angles that are created when two lines cross one other are always equal to one another.
Given that the angle CBF is 125 degrees. The value of the angle CDE will be calculated as below:-
Calculate angle ABC by using supplement angle property:-
∠ABC = 180 - 125 = 55
Draw a horizontal line PQ at point C.
Angle PCQ = 35
Angle CDE = 35
Therefore, the value of x or the angle CDE will be 35 degrees.
To know more about the opposite angle theorem follow
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given the expotential function f(x) = 4(3)^x find f(0) and f(1)
Answer:
4 and 12
Step-by-step explanation:
Given
f(x) = 4[tex](3)^{x}[/tex] , then
f(0) = 4[tex](3)^{0}[/tex] = 4 × 1 = 4 [ [tex]a^{0}[/tex] = 1 ]
f(1) = 4[tex](3)^{1}[/tex] = 4 × 3 = 12
Find the area and perimeter of a polygon with vertices located at A(-4,-8), B(4, -8), C(4, 0), D(0, 3), and E(-4,0).
Area =
Perimeter =
Answer:
76 and 34
Step-by-step explanation:
See attached
As we see this is a polygon with sides of AB=BC=AE and CD=DE
Sides AB=BC=AE equal to 8Sides CD=DE = [tex]\sqrt{3^2 + 4^2}[/tex] = 5Area is the sum of areas of a square ABCE with side 8 and a triangle CDE with base of 8 and height of 3:
Area = 8*8 + 1/2*8*3 = 64 + 12 = 76Perimeter = 8*3 + 5*2 = 24 + 10 = 34Sophie plans to repaint some classroom bookcases. All of the bookcases are the same size and each requires 4 over 5 gallons of paint. If she's going to paint 16 bookcases, how many gallons of paint does she need?
Answer:
12.8 gallons of paint
Step-by-step explanation:
Multiply 16 by [tex]\frac{4}{5}[/tex]
16(4/5) = 12.8
So, she will need 12.8 gallons of paint
Which of the following equations have no solution? Check all that apply.
6x + 1 = 3(2x - 4)
2-5x = 7x - 12
4(3 - x) = 2(6 - 2x)
5(x + 2) = 2(x-4)
-4(x + 3) = 4(-x-1)
Hi there! :)
Answer:
Equations 1 and 5.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
We can simply each answer choice to find those which have no solution:
1. 6x + 1 = 3(2x - 4)
6x + 1 = 6x - 12
0 ≠ - 13, NO SOLUTION.
2. 2 - 5x = 7x - 12
14 = 12x
x = 7/6. 1 SOLUTION.
3. 4(3 - x) = 2(6 - 2x)
12 - 4x = 12 - 4x
0 = 0. INFINITE SOLUTIONS.
4. 5(x + 2) = 2(x - 4)
5x + 10 = 2x - 8
3x = -18
x = -6. 1 SOLUTION.
5. -4(x + 3) = 4(-x - 1)
-4x - 12 = -4x - 4
0 ≠ 8. NO SOLUTIONS.
Therefore, the only equations with no solutions are equations 1 and 5.
Answer:
x + 1 = 3(2x – 4) and –4(x + 3) = 4(–x – 1).
Hope this was helpful!
You take your car in for repairs. The service station charges $200 for parts plus $50 per hour for labor. What is the equation that models the total cost charged by the service station? y= X+
Answer:
y=50x+200 can i get the brainliest?
Step-by-step explanation:
which best describes how to solve the equation below 64x = 37
Answer: Division
Step-by-step explanation: divide both sides by 64
ALGEBRA 1: HELP ME PLEASE 20POINTS
When a value for x is put into the machine, a value for y comes out. That output then becomes the input for another machine. An example is shown at the bottom.
What is the output from the second function machine? Explain.
Here you go queen/king hope this helps!
What is the area of the wreck site?
Answer:
where is the photo?
Step-by-step explanation:
Where is the photo, I need you to give me more details so i can officially answer your question, thank you :)
Please help! (Question in picture)
The answer is C. You just simplify all of the terms.
I think it is C but i'm not entirely sure sorry if its wrong gotta go
calculate the mid points of the line segments below using the midpoint formula given two endpoints (9,7) (-8, 10)
Answer: (0.5, 8.5)
Step-by-step explanation: (9+-8/2) is 1/2 and (7 + 10/ 2) is 8.5. After plugging it into the equation, I checked with a graphing site.
Nicole charges a flat fee of $15 for babysitting plus $7 per hour a) write about equation to find the total payout. b) Evaluate an equation to find the total payout if Nicole babysits for 5 hours.
Answer:
a) t = 7x + 15
b) Nicole is paid $50 for 5 hours.
Step-by-step explanation:
flat fee = a price that will not change = $15
$7 per hour = a price of $7 for an unknown amount of hours (x) = 7x
Let "x" = amount of hours.
Let "t" = total cost.
Set the equation:
t = 7x + 15
Nicole babysits for 5 hours. Plug in 5 for x in the equation:
t = 7x + 15
t = 7(5) + 15
t = 35 + 15
t = 50
Nicole is paid $50 for 5 hours.
~
Please helpppp meeee
Answer:
AB=62, BC=61, AC=57, PR=75, PQ=52.5, QR=52.5
Step-by-step explanation:
A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.) (4 points)
Greetings from Brasil...
According to the statement, we can conclude that 1 square (of cheese) has 8in²
The area of a square is given by the expression:
A = S²
where S is the side of the square - just what we want to know
So:
A = S²
8 = S²
√8 = S
S ≈ 2.83in