Answer:
[tex]\dfrac{x}{2}=25.5[/tex]
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
[tex]\dfrac{1}{2}x=25.5[/tex]
or
[tex]\dfrac{x}{2}=25.5[/tex]
Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].
a retailer bought a bag for $80 and sold it for $120 calculate the percentage profit
Answer:
50%
Step-by-step explanation:
Take the final amount and subtract the original amount
120-80 = 40
Divide by the original amount
40/80 = .5
Multiply by 100
.5 *100 = 50%
Step-by-step explanation:
Profit=Selling Price- Cost Price
=$120-$80
=$40
Profit Percentage= Profit×100/Cost Price
= 40×100/80
=100/2= 50%
hope it helps
What of the following is the BEST statement about dependent and independent variables? Group of answer choices An experiment can have more than one of either kind of variable; you just have to keep your data straight. An independent variable is a factor that changes because of procedures conducted on the dependent variable. A dependent variable is a factor that changes because of procedures conducted on the independent variable. An experiment can have several independent variables but only one dependent variable.
Answer:
A dependent variable is a factor that changes because of procedures conducted on the independent variable
Step-by-step explanation:
Using a cause and effect analogy, the independent variable is the causal variable. The independent variable or variables are the variables on which what is being measured, has no effect, and it is the variable the investigator manipulates to find the effect on the dependent variable.
The dependent variable are the variables that shows he effect of the changes made and manipulations to the independent variable. The dependent variable is therefore, the effect variable
Therefore, the correct option is ' A dependent variable is a factor that changes because of procedures conducted on the independent variable'
How do you calculate angles on a straight line??
Answer:
Step-by-step explanation:
Straight line is an angle whose vertex point(O) has a value of 180. The arms (OA & OB) of the straight line angle lies opposite to each other from the vertex point
Sum of all the angles in a straight line = 180
From this you can find the value of unknown angle, if other angles are given.
∠AOC + ∠BOC = 180
Answer:
Answer:
x + y =180 (degrees)
How many sides do 1 decagon, 3 heptagons, 3 nonagons, and 3 hexagons have in all?
Answer:
76
Step-by-step explanation:
decagon = 10 sides
3 heptagons = 3 × 7 = 21 sides
3 nonagons = 3 * 9 = 27 sides
3 hexagons = 3 * 6 = 18 sides
10 + 21 + 27 + 18 = 76 sides in total
hope this helps please like and mark as brainliest
line RP and line RQ are tangent to point G at P and Q. if the measurement of angle PRG=35 degrees, find the measurement of angle PGR.
Answer:
55°
Step-by-step explanation:
By theorem of specific circle, the radius is perpendicular to the tangential lineSummation of all internal angles equal to 180°Thus from the atrachment, the angle PGR is 180°-35°-90°
= 55°
Can someone please figure this out thank you
Using the tangent ratio below:
[tex] \large \boxed{tan A = \frac{opposite}{adjacent} }[/tex]
Therefore, the tangent ratio for a right triangle is:
[tex] \large{tanA = \frac{8}{12} }[/tex]
For this part, use the arctan to find the measure of A.
[tex] \large{arctan( \frac{8}{12} ) = A} \\ \large{arctan( \frac{8}{12} ) = 33.69 \degree}[/tex]
Therefore measure of A is 33.69, round to the nearest tenth as we get 33.7 degrees.
Answer
A = 33.7 degreesFurthermore, the question mentions the nearest tenth, that means the b and e choice should be cleared out.
Let me know if you have any doubts regarding the trigonometric ratio.
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.
Answer:
[tex] F(4) = \frac {1}{256} [/tex]
Step-by-step explanation:
Given the following mathematical function;
[tex] F(x) = \frac {1}{4^{x}} [/tex]
When x = 1
[tex] F(1) = \frac {1}{4^{1}} [/tex]
[tex] F(1) = \frac {1}{4} [/tex]
When x = 2
[tex] F(2) = \frac {1}{4^{2}} [/tex]
[tex] F(2) = \frac {1}{4*4} [/tex]
[tex] F(2) = \frac {1}{16} [/tex]
When x = 3
[tex] F(3) = \frac {1}{4^{3}} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
When x = 4
[tex] F(4) = \frac {1}{4^{4}} [/tex]
[tex] F(4) = \frac {1}{4*4*4*4} [/tex]
[tex] F(4) = \frac {1}{256} [/tex]
When x = 5
[tex] F(5) = \frac {1}{4^{5}} [/tex]
[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]
[tex] F(5) = \frac {1}{1024} [/tex]
if there are 3 odd numbers and 2 even numbers what is the probability
There is 5 total. Umbers and 3 of them are odd.
The probability of getting odd is the number of odd over total numbers:
Probability of odd = 3/5
Answer:
P ( odd) = 3 / 5
Step-by-step explanation:
Total number = 3 + 2 = 5
Odd number = 3
The probability of odd number is = odd number / total numberP ( odd )= 3 / 5
X - 7 < 15
Please show work
Answer:
X-7<15
X-7+7<15+7
X<22
Answer:
x < 22
Step-by-step explanation:
x - 7 < 15
Adding 7 to both sides.
=> (x - 7 ) + 7 < 15 + 7
=> x - 7 + 7 < 22
=> x < 15+ 7
=> x< 22
The answer to this.
Answer:
The two column proof is presented as follows;
Step [tex]{}[/tex] Statement Reason
1 [tex]{}[/tex] [tex]\overline {AC}[/tex] ≅ [tex]\overline {BD}[/tex] Given
[tex]{}[/tex] ∠CAB ≅ ∠DBA
2 [tex]{}[/tex] [tex]\overline {AB}[/tex] ≅ [tex]\overline {AB}[/tex] Reflexive property
3 [tex]{}[/tex] ΔABC ≅ ΔBAD SAS rule of congruency
Step-by-step explanation:
Given that we have;
Segment [tex]\overline {AC}[/tex] of ΔABC being congruent to (≅) segment [tex]\overline {BD}[/tex] on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment [tex]\overline {AB}[/tex], we have;
Segment [tex]\overline {AB}[/tex] is congruent to itself by reflexive property, therefore;
Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD
Need help now I have 3 min asapppppp
Answer:
Step-by-step explanation:
a:0
B:1
C:-1
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer and Step-by-step explanation:
All triangles have a sum of their angles to be 180 degrees. So, to find x, we need to subtract the two given sides from 180 degrees.
180 - 38 - 83 = 59
x = 59 degrees.
#teamtrees #PAW (Plant And Water)
Marissa went to the store with $20 and returned home with $5.36. If she bought only 3 gallons of ice cream, what was the cost of each gallon of ice cream?
Answer: $4.88
Explanation: $20.00-$5.36= $14.64
$14.64÷3= $4.88
The product of two integers is 84. If one
integer is (-12), find the other.
Answer:
-7
Step-by-step explanation:
-12x = 84
/-12 /-12
x = -7
Answer:
The other integer is - 7.
Step-by-step explanation:
Let the 2 integers be x and y
Given:
one of the integer is -12, Let x = - 12
Product of two integers is 84,
that is,
x × y = 84
- 12 × y = 84 [ given one of the integer is -12 ]
[tex]\frac{-12 \times y }{-12} = \frac{84 }{-12}[/tex] [ divide both sides by -12 ]
[tex]y = - 7[/tex]
Trigonometry help me
Answer:
[tex]\theta = \frac{\pi}{6}[/tex]
Step-by-step explanation:
[tex]tan^ 2 \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) tan \theta + 1 = 0\\\\tan \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) +\frac{1}{ tan \theta } = 0\\\\[/tex] [tex][ \ divide \ by \ tan \theta \ on \ both \ sides \ ][/tex]
[tex]tan\theta + \frac{1}{ tan \theta }- ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{tan^2 \theta + 1}{ tan \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{sec ^2 \theta}{ \frac{sin \theta }{cos \theta}} - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0[/tex] [tex][ \tan ^ 2\theta + 1 = sec ^2 \theta \ , \ tan \theta = \frac{sin \theta }{cos \theta } \ ][/tex]
[tex]\frac{sec^2 \theta }{sin \theta \times sec \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][\ \frac{sin \theta }{cos \theta } = sin \theta \times sec \theta \ ][/tex]
[tex]\frac{sec \theta }{sin \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]
[tex]sec \theta \ cosec \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][ \ \frac{1}{sin \theta } = cosec \theta \ , \ \frac{ sec \theta }{sin \theta } = sec \theta cosec \theta \ ][/tex]
[tex]sec \theta \ cosec \theta - \sqrt 3 - \frac{1}{\sqrt3}} = 0\\\\\frac{\sqrt 3\ sec \theta \ cosec \theta - 3 - 1}{\sqrt3} = 0\\\\\sqrt 3 sec \theta cosec \theta - 4 = 0\\\\[/tex]
[tex]\sqrt3 \frac{1}{cos \theta } \frac{1}{sin \theta } - 4 = 0\\\\\frac{\sqrt3 - 4sin \theta cos \theta} { sin \theta cos \theta } = 0[/tex]
[tex]\sqrt 3 - 2sin 2\theta = 0[/tex] [tex][ \ sin 2 \theta = 2 sin \theta cos \theta \ ][/tex]
[tex]2sin 2 \theta = \sqrt3\\\\sin 2 \theta = \frac{\sqrt3 }{2} \\\\2 \theta = sin^{-1} (\frac{\sqrt3}{2})\\\\2 \theta = 60^{ \circ} = \frac{ \pi}{3}\\\\\theta = \frac{\pi} {6}[/tex]
Which graph shows the solution to the system of linear inequalities?
y > Two-thirdsx + 3
y ≤ Negative one-thirdx + 2
Answer:
b
Step-by-step explanation:
We want to get the graph for the given system of linear inequalities. The graph can be seen at the end of the answer.
How to graph a system of inequalities?
First, we have the system:
y > (2/3)*x + 3
y ≤ -(1/3)*x + 2
Let's analyze each one individually.
In the first one, you can see that y is larger than the line, so we need to shade the region above the line, and the line must be a dashed line, meaning that the points on the line are not solutions.
In the second one, y is smaller than or equal to the line, so we need to shade the region below the line, and this time the line must be a solid line because the points on the line are solutions.
The graph of the system of inequalities can be seen below.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
solve: 31 - 8(y+5) =7
Answer:
y = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
31 - 8(y + 5) = 7
Step 2: Solve for y
[Subtraction Property of Equality] Subtract 31 on both sides: -8(y + 5) = -24[Division Property of Equality] Divide -8 on both sides: y + 5 = 3[Subtraction Property of Equality] Subtract 5 on both sides: y = -26th grade math help me pleaseeee
Answer:
The answer is $38115
Step-by-step explanation:
Because I have the smarts
In ΔBCD, the measure of ∠D=90°, BD = 13, DC = 84, and CB = 85. What is the value of the cosine of ∠C to the nearest hundredth?
Answer: 0.99
Step-by-step explanation: sin 90 Divided by 85 = sin x divided by 13
sin x =13x sin 90 divided by 85
sin x = 13divided by 85
sin x = .152941176
arc sine of .152941176= 8.79741071 degrees
cos 8.79741071 = .988235294
.99
if A={2,3,5,7,9,10} B={2,10,12,13} then a-b is
A = {2,3,5,7,9,10}
B = {2,10,12,13}
A-B = ?
Now,
A-B = {2,3,5,7,9,10} - {2,10,12,13}
= {3,5,7,9}
I hope you understand...
Mark me as brainliest...
Can someone please please please help me and show working I am stuck.
Answer:
i think the c answer is 5
Step-by-step explanation:
Franklin and Glennys are selling cases of chocolate bars for a school fundraiser. Franklin sells 5 cases and Glennys sells 8 cases. There are x bars of chocolate in each case. How many chocolate bars does Franklin sells?
Answer:
Franklin sold 5x bars.
Step-by-step explanation:
Franklin Sells 5x bars. I assume the question is asking for an expression with the usage of X instead of an actual value or when that is attainable. If there's any more information that you can provide, let me know and I'll redo the problem.
In a three-digit number, the hundreds digit is one half of the tens digit. The tens digit is
twice the one's digit. If the sum of the digits is eight, find the number.
Answer:
242
Step-by-step explanation:
Rule out anything above five from being the ones number as it wouldn't be possible to be doubled for the tens.
After that it is just trial and error putting 1,2,3,4 in the tens and following the word equation.
121 = doesn't equal 8
363= doesn't
484 = doesn't
thats leaves 242 which follows the pattern and equals 8
please help me with this real quick.
The volume of 10 drops of liquid is 0.1 fluid ounces.
What is the volume of 10,000 drops
Answer:
10,000 drops would be 1 fluid ounce
Step-by-step explanation:
A sample of 12 measurements has a mean of 16.5, and a sample of 15 measurements has a mean of 18.6. Find the mean of all 27 measurements
Answer: [tex]17.67[/tex]
Step-by-step explanation:
Given
Sample of 12 measurements has a mean of 16.5 and
a sample of 15 measurements has a mean of 18.6
Take [tex]\bar{x_1},n_1[/tex] be the mean and no of measurements
and [tex]\bar{x_2},n_2[/tex] be the mean and no of measurements in second case
[tex]\therefore \bar{x_1}=\dfrac{\sum a_1}{n_1}\\\\\Rightarrow \sum a_1=\bar{x_1}\times n_1\\\\\Rightarrow \sum a_1=198\quad \ldots(1)[/tex]
Similarly,
[tex]\therefore \bar{x_2}=\dfrac{\sum a_2}{n_2}\\\\\Rightarrow \sum a_2=\bar{x_2}\times n_2\\\\\Rightarrow \sum a_2=279\quad \ldots(2)[/tex]
Mean of 27 measurements
[tex]\Rightarrow \bar{x_3}=\dfrac{\sum a_1+\sum a_2}{n_1+n_2}\\\\\Rightarrow \bar{x_3}=\dfrac{198+279}{12+15}\\\\\Rightarrow \bar{x_3}=\dfrac{477}{27}\\\\\Rightarrow \bar{x_3}=17.67[/tex]
if you apply the changes below to the linear parent, f(X)=x, what is the equation of the new function vertically stretch by multiplying by 3. flip over the x-axis
Answer:
f(x) = -3x
Step-by-step explanation:
f(x) = -3x
Question is in photo.
Thanks
12-2²·2=?
Brainliest
Answer:
it would be 4
12-4×2=12-8=4
Step-by-step explanation:
hope it helps you
[tex]\longrightarrow{\green{ 4 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➺ [tex] \: 12 - {2}^{2} .2[/tex]
➺ [tex] \: 12 - (2 \times 2 \times 2)[/tex]
➺ [tex] \: 12 - 8[/tex]
➺ [tex] \: 4[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Expand. Your answer should be a polynomial in standard form.
8r^2(r^2-2)=
Answer:
8r^4 - 16r^2
2Step-by-step explanation:
8r^2(r^2-2)
Multiply everything inside the brackets by the term outside of it.
8r^4 - 16r^2