Answer:
A&C
Step-by-step explanation:
Solve the formula for the specified variable
Q=R + Rst for s
[tex]Q=R+Rst \\ \\ Q=R(1+st) \\ \\ \frac{Q}{R}=1+st \\ \\ \frac{Q}{R}-1=\frac{Q-R}{R}=st \\ \\ \boxed{s=\frac{Q-R}{Rt}}[/tex]
Write the equation of the line in slope-intercept form that has a slope of -2 and passes through (3, 3)
Answer:
y = -2x + 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = -2
Point (3, 3)
Step 2: Find equation
Substitute in slope [Form]: y = -2x + bSubstitute in point: 3 = -2(3) + bMultiply: 3 = -6 + bIsolate b: 9 = bWrite equation: y = -2x + 9Add. 25+14 Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
25 + 14 = 39 and the fraction form can be [tex]\frac{39}{100}[/tex]
Step-by-step explanation:
If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $5, and a loaf of bread, two bags of oranges and a basket of apples costs $12, what is the cost of a basket of apples?
Answer:
$6
Step-by-step explanation:
4 loaves of bread ---- $8
1 loaf of bread ---- $8 ÷ 4 = $2
one bag of oranges --- $5 - $2 = $3
two bags of oranges --- $3 × 2 = $6
one basket of apples --- $12 - $6 = $6
The cost of a basket of apples is $6.
Which is the correct answer?
A. The equation has one valid solution and no extraneous solutions.
B. The equation has one valid solution and one extraneous solution.
C. The equation has two valid solutions and no extraneous solutions.
D. The equation has no valid solutions and two extraneous solutions.
Answer:
I think that it is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Some History teachers at Riverside High School are purchasing tickets for students and their adult chaperones to go on a field trip to a nearby museum. For her class, Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. What is the price for each type of ticket?
Answer:
Cost of student ticket = $7
Cost of Adult ticket = $17
Step-by-step explanation:
Let cost of student ticket = x
Cost of Adult ticket = y
Making expressions from statements
Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. [tex]27x+25y=614[/tex]
Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. [tex]27x+32y=733[/tex]
Now solving these equations to find values of x and y
Let
[tex]27x+25y=614--eq(1)\\27x+32y=733--eq(2)[/tex]
Subtracting both equations
[tex]27x+25y=614\\27x+32y=733\\-\:\:\:-\:\:\:\:\:\:\:\:\:\:\:\:-\\-------\\-7y=-119\\y=\frac{-119}{-7}\\y=17[/tex]
So, we get value of y = 17
Now, finding value of x, by putting value of y in eq(1)
[tex]27x+25y=614\\Put\:y=17\\27x+25(17)=614\\27x+425=614\\27x=614-425\\27x=189\\x=\frac{189}{27}\\x=7[/tex]
So, we get value of x = 7
Cost of student ticket = x = $7
Cost of Adult ticket = y = $17
What is the slope of y = log(x) when x=20 ?
The formula for the slope is _________ for h close to 0 (but not equal )
The best estimate for the slope is____
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The formula for slope according to first principle is :
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{f(x + h) - f(x)}{h} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log(x + h) - log(x)}{h} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{x + h}{x} ) }{h} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{h} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times x} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{1}{x} \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times log_{e}(10) } \] \bigg)[/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } \displaystyle\lim_{x\to0} \: \: \sf \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} } \] \bigg)[/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } [/tex]
Now, the best estimate of slope is at x = 20 :
[tex] \qquad \sf \dashrightarrow \: \[ \dfrac{1}{20\times 2.303} [/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \dfrac{1}{46.06} [/tex]
[tex] \qquad \sf \dashrightarrow \: \approx0.0217[/tex]
Original: $100, Discount: 13%
Answer:
Step-by-step explanation:
$87
which equation represents a linear function?
Answer:
Equation 3
Step-by-step explanation:
Answer:Equation 3
linear functions dont have exponents
Step-by-step explanation:
The average selling price is $0.60 per unit, the average variable cost is $0.36 per unit, and the total fixed costs are $1,500. If operating profits of $900 are desired, a sales volume of 2,500 units is necessary. True False
The statement is False.
Given that the SP is $0.60 per unit and the CP is $0.36 per unit.
So, profit per unit = $(0.60-0.36)
= $ 0.24
So, now we have to check whether 2500 units sales is required if we want a profit of $900.
To check we have to multiply the profit per unit with the sales,
⇒ 0.24 × 2500
⇒ $ 600
We can see clearly that we get a profit of $600 if we sale 2500 units. So, to make a profit of $900 we have to sale = [tex]\frac{900}{0.24}[/tex]
= 3750 units
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Hello please help with this math. Some one rush.
Answer:
the experiment is mine is my favorite but us and I can you too I don't revel in a bit if ok to come to
A company is looking to cover a floor in their office with wood. How many square yards of wood does the company need to cover the floor?
Answer:
[tex]Area = 72[/tex]
Step-by-step explanation:
From the attachment, we can see that the floor has a trapezium shape with the following dimensions.
[tex]Height = 6yd[/tex]
The parallel sides (P1 and P2) are:
[tex]P_1 = 10 + 4 = 14[/tex]
[tex]P_2 = 10[/tex]
The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:
[tex]Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]
[tex]Area =\frac{1}{2} * (P_1 + P_2) * Height[/tex]
[tex]Area = \frac{1}{2} * (10 + 14) * 6[/tex]
[tex]Area = \frac{1}{2} * (24) * 6[/tex]
[tex]Area = 12 * 6[/tex]
[tex]Area = 72[/tex]
Hence, 72 square yards is needed to cover the floor
The speed, s, of an ant (in centimeters per second) is related to the temperature, t (in degrees Celsius), by the formula
s = 0.167t - 0.67
If the temperature is 40 degrees Celsius, how fast is the ant moving?
Answer:
binod
Step-by-step explanation:
binod is binod and is binod
Hurry please!!!!!!!!! It’s a timed test!!!!!!!
The function /(x) is shown on the graph.
What is f(0)?
A.12 only
B. 2 and 3 only
C. -2, -1, -1, and 2 only
D. -2,-1, 1, 2 and 12
Answer:
c
Step-by-step explanation:
HEY YOU!! PLEASE I NEED HELPPP
find angle BAC and angle FAB
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
What is the reciprocal of 3/7 ?
A) 3/7
B) 2 1/3
C) 7/3
D) 7
Answer:
c ) 7/3
Step-by-step explanation:
PLEASE answer i’ll do anything please
Answer:
25
Step-by-step explanation:
[tex]f(x) = {3}^{x} - 2 \\ \\ plug \: x = 3 \\ \\ f(3) = {3}^{3} - 2 \\ \\ f(3) = 27 - 2 \\ \\ f(3) = 25[/tex]
A line passes through the points (5,21) and (6,22).
Hey there!
The formula is: y₂ - y₁ / x₂ - x₁
y₂ = 22
y₁ = 21
x₂ = 6
x₁ = 5
Your equation: 22 - 21 / 6 - 5
22 - 21 = 1 ← numerator (TOP number)
6 - 5 = 1 ← denominator (BOTTOM number)
We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1
(or you can simply 1 because 1 ÷ 1 gives you 1)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
You can buy 3 apples at the Quick Market for $1.11. You can buy 5 of the
same apples at Stop and Save for $2.55. Which place is the better buy?
all of the following fractions are equal to 1/2 except?
9/18
20/40
4/6
5/10
tan 3( ) tan 3 lim
h
xh x
® h
Answer:
27
Step-by-step explanation:
know that
h = 3
h × h × h
3 × 3 × 3
= 27
I BEG u pls answer this question.. im using my remaining points for these and i will give u brainliest if they are correct
Answer:
Step-by-step explanation:
1. Alternate interior angles. Inside the transversal and opposing sides
8. Set all three angles equal to 180, since they're supplementary
34+41+x = 180
180 = 75+x
105 = x
Explain how you can tell by looking at a graph if there is a
proportional
You can tell if a graph represents a proportional relationship by identifying the y-intercept, or the point of the line that crosses the y-axis.
If the y-intercept is 0, then the relationship is proportional. This is called a direct relationship.
If the y-intercept is anything other than 0, then the relationship is not proportional. This is called an indirect relationship.
I hope this helps!
Simplify The Equation
–9(–8p + 12) – 6p
Answer:
9/8
Step-by-step explanation:
An object dropped from rest from the top of a tall building on Planet X falls a distance feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from to . This rate is known as the average velocity, or speed. The average velocity as t changes from to seconds is:________
Complete Question:
An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=13t^2 feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1=2 to t2=10. This rate is known as the average velocity, or speed.
The average velocity as t changes from 2 to 10 seconds is _______ feet/sec?
Answer:
[tex]v = 156[/tex]
Step-by-step explanation:
Given
[tex]d(t)=13t^2[/tex]
Time Interval: (a,b)
[tex]a = 2[/tex]
[tex]b = 10[/tex]
Required
Determine the average rate of change (v)
This is calculated as thus:
[tex]v = \frac{d(b) - d(a)}{b - a}[/tex]
Substitute values for b and a
[tex]v = \frac{d(10) - d(2)}{10 - 2}[/tex]
[tex]v = \frac{d(10) - d(2)}{8}[/tex]
Calculate d(10): Substitute 10 for t
[tex]d(t)=13t^2[/tex]
[tex]d(10) = 13 * 10^2[/tex]
[tex]d(10) = 13 * 100[/tex]
[tex]d(10) = 1300[/tex]
Calculate d(2): Substitute 2 for t
[tex]d(t)=13t^2[/tex]
[tex]d(2) = 13 * 2^2[/tex]
[tex]d(2) = 13 * 4[/tex]
[tex]d(2) = 52[/tex]
The equation [tex]v = \frac{d(10) - d(2)}{8}[/tex] becomes
[tex]v = \frac{1300 - 52}{8}[/tex]
[tex]v = \frac{1248}{8}[/tex]
[tex]v = 156[/tex]
Hence, the average rate of change is 156ft/s
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white copies, and the rest were color copies.
• Each black-and-white copy cost $0.08.
• Each color copy cost $0.15.
Which system of equations can be used to find b, the number of black-and-white copies, and
c, the number of color copies that the customer paid for at the print shop?
The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = 6
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Total amount paid = $6.00
Total copies = 68
Cost of black-and-white copy = $0.08
Cost of color copy = $0.15
Now, Let number of black-and-white copies = b
And, Number of color copies = c
Hence, The equation become;
b + c = 68
0.08b + 0.15c = 6
Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = $6
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What is the system of equations represented by the graph?
{y≥1
y−x>0
{y≥1
y−x<0
{y≤1
y−x<0
{y≤1
y−x>0
Answer:
c is the answer
Step-by-step explanation:
{ y≤1
y-x<0
630 people went a McDonald's yesterday. If 60% of them ordered fries, how many ordered fries?
Answer:
total no. of people =630
let the no. of people who ordered fries be x
Then,
60%of 630=x(since 60% of them ordered fries)
60/100×630=x=378
Therefore,the no of people who ordered fries are 378.
Thankyou
389. A racquetball court is 40 ft by 20 ft. What is the area of the court?
a. 60 ft2
b. 80 ft2
c. 800 ft2
d. 120 ft2
Answer: 800 ft^2 ==> c
Step-by-step explanation:
A=Area, l=length, w=width
A=l*w
A=40*20
A=800 ft^2 ==> c
Select all the equations that have the same solution as 2x - 5 = 15
Answer:
3x = 15 x=5
1x -10=15 x=25
2x-25= 15 x=20
2x+11=15 x=2
-2x+25=15 x= -5
and so on