Answer:
y=4x-7 3(4x-7)-21x=-21 12x-21-12x=-21 -21=-21
Step-by-step explanation:
Help please!! Help me with this triangle
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
How many terms are in this expression? d + 8c + 7
Answer:
2
Step-by-step explanation:
Four friends shopped at the Sale Depot for movies. Robby went on Monday and bought three movies for $15.36. Paula went on Wednesday and bought five movies for $27.40. Trey went on Thursday and bought four movies for $20.08. Madison went on Friday and bought six movies for $31.44.
Answer: See explanation
Step-by-step explanation:
You didn't say what you want to get but I'm guessing that you want to know who had the cheapest deal or the best deal.
Robby went on Monday and bought three movies for $15.36. The cost per movie will be:
= $15.36/3
= $5.12
Paula went on Wednesday and bought five movies for $27.40. The cost per movie will be:
= $27.40/5
= $5.48
Trey went on Thursday and bought four movies for $20.08. The cost per movie will be:
= $20.08/4
= $5.02
Madison went on Friday and bought six movies for $31.44. The cost per movie will be:
= $31.44/6
= $5.24
We can see that Trey had the best deal.
A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?
Answer: 9 feet below the surface.
Step-by-step explanation:
The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:
Position = -40ft
Where the negative sign is because it is below the surface of the water, so
"He swam up 12 feet to see a unique fish."
Now we need to add 12ft
Then his new position is:
Position = -40ft + 12 ft = -28ft
"He followed the fish down 8 feet.
Now we need to subtract 8ft
His new position is:
Position = -28ft - 8 ft = -36 ft
"Then he followed the fish up 27 feet."
Now we add another 27 ft.
The final position will be:
Position = -36ft + 27ft = -9ft
Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.
6x times (-2y)
Urgent please send solution
Answer:
_2y6x
Step-by-step explanation:
this is the answer
I hope it will helps you
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answer:
The basketball game sold 439 adult tickets and 858 student tickets.
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values of the unknowns, with which when replacing, they must give the solution proposed in both equations.
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047 was collected on the sale of 1,291 tickets.
With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:
[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]
Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:
y=1291 -x
and you replace in the second equation:
5*x + 1291 - x= 3047
Solving, you get:
5*x-x= 3047 - 1291
4*x= 1756
x= 1756÷4
x=439
Replacing this value in the expresion y=1291 -x you get:
y=1291 -439
y= 858
The basketball game sold 439 adult tickets and 858 student tickets.
the table shows a summary of the number of spots counted on 20 ladybug calculate the mean number of spots per lady bug
Answer:
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HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.
Can somebody help me please
Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.
Answer:
%11.76
Step-by-step explanation:
400/3400x100 = 11.76
Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so far this week. Monday 1 hours 2 1 Wednesday 1 hours 3 1 Thursday 1 hour How many more hours does Joel need to practice this week to meet his goal?
Answer:
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Step-by-step explanation:
P.S - the exact question is -
As given
Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours
He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours
Wednesday - [tex]1\frac{1}{4}[/tex] hours
Thursday - 1 hour
Let the remaining practice = x hours
⇒ Total practice = [tex]4\frac{1}{2}[/tex] hours
⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]
⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]
⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]
⇒x - 1 = [tex]-\frac{1}{4}[/tex]
⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]
⇒x = [tex]\frac{3}{4}[/tex] hour
∴ we get
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Un elev a depus la banca suma de 250 lei. Știind ca banca oferă dobânda anuala de 1%,iar stația impozitează dobânda cu 16%,aflati ce suma va avea elevul după un an de depunere.
Răspuns:
292,50
Explicație pas cu pas:
Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17
Suma principală depusă, P = 250
Suma totală, A după 1 an poate fi calculată astfel:
A = P (1 + rt)
Unde ; r = rata dobânzii; t = timp
A = 250 (1 + (0,17 * 1))
A = 250 (1,17)
A = 292,5
HELP FOLKS PLEASE ( i don't have much time)
Answer:
tan(Y) = 7/4
tan(Z) = 4/7
Step-by-step explanation:
Tangent ratios are the TOA of SOHCAHTOA.
tan( angle ) = opposite / adjacent
For which value of m is start fraction 4 over 16 end frction equals start fraction m over 24 end fraction a proportion? A. m = 6 B. m = 8 C. m = 12 D. m = 14
Answer:
A. M=6
Step-by-step explanation:
Basically, this question is asking you to find m if 4/16 = m/24.
First, 4/16 can be simplified to 1/4. This will make it easier to solve.
You now have 1/4 = m/24.
Multiply both sides by 24 to get 24/4 = m.
Simplify to get m = 6.
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
need help please will give brainliest
Answer:
y=1/5x+7
Step-by-step explanation:
Please help me with this
Answer:
1 h 30 minuutes
Step-by-step explanation:
[tex]1.5 \: hr = 1 \: hr + 0.5 \times 60 \: min \\ \\ = 1 \: h \: 30 \: min \\ \\ [/tex]
Answer:
1.5 Hrs x 60 minutes = 90 minutes
1 hour 30 minutes
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
6. Draw the graph of the linear equation 3x - y = 3. Hence find the
coordinates of the point where the graph intersects y-axis.
Answer:
(0,-3)
Step-by-step explanation:
Solve the inequalities by graphing. Select the correct graph. y> X y<-X
Answer:
i think is y>X
Step-by-step explanation:
Part A: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. Write an equation in standard form that represents the situation
____x+____ y=____
Part B: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. If you have 2 quarters in your backpack, how many dimes do you have?
______
Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?
Answer:
115mm
Step-by-step explanation:
5/x = 3/69
5/x = 1/23
5*23 = x
115 = x
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:
[tex]r = \frac{4\,in}{5\,ft}[/tex]
We can convert each length by dividing it by scale factor. That is:
Length
[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]l' = 20\,ft[/tex]
Width
[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]w' = 31.25\,ft[/tex]
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Solve by Substitution:
3x-2y = 4
y = -2x + 5
YALL PLZ HELP ILL DO ANYTHING
Answer:x=2
Step-by-step explanation:
Solve.
952448 / 112 =
Answer:
10
Step-by-step explanation:
yup that's all have sorry
Is the function even,odd, or neither
Answer:
even :D
Step-by-step explanation: :D
A cell phone retailer used a mark-up rate of 60% on a cellphone case that originally cost $5. To find the new price of the case in ONE STEP, my equation Part = %*whole will be...
Answer:
$8
Step-by-step explanation:
5 increase 60% =
5 × (1 + 60%) = 5 × (1 + 0.6) = 8
For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?
Answer:
Step-by-step explanation:
120+80=200 the total number of tickets
120(student tickets) ÷ 200 (total tickets)= .6 =60%
Answer:
bin
Step-by-step explanation:
bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt
Which of the following is an equation with ONE solution?
A
2x = 2x + 18
B
2x - 10 = 2(x - 5)
C
5(x + 3) + x
D
2x + 5= 11 - 4x