The coordinate bridge shows the cost of different numbers of bookmarks how many sense do for bookmarks cost.
Answers
Answer:
54 cents
Step-by-step explanation:
The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:
From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\[/tex]
From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:
[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6[/tex]
The cost of 4 bookmarks (x = 4):
y = 12(4) + 6
y = 54 cents
Related Questions
What is the volume of the prism given below?
14
12
A. 280 units3
B. 480 units 3
C. 840 units 3
D. 420 units3
Answers
AnswerAnswer:
420
Step-by-step explanation:
The volume of the prism is 840 units³ which is correct option (C).
What is volume of prism?The volume of the prism is defined as the measure of the space occupied within a prism . The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.
The volume of the prism= B×H
Where, B is base area of prism, and H is height of prism.
Given that,
Length of prism (L) = 12 centimeters
Width of prism(W) = 14 centimeters
Base area (rectangle) of prism = L × W
Base area (rectangle) of prism = 12 × 14
Base area (rectangle) of prism = 168 units²
Height of prism(H) = 5 units
The volume of the prism = B × H
Substitute the values in above formula,
The volume of the prism = 168×5
The volume of the prism = 840 units³
Hence, the volume of the prism is 840 units³.
Learn more about volume of the prism here:
https://brainly.com/question/11336446
#SPJ5
This graph shows how the total distance Jack has walked depends on the number of trips he has made to school.
ASAP BEFORE 11:59
Answers
Answer:
whats the question
Step-by-step explanation:
thats the answer
What is the exact length of each side?
Answers
Answer:
[tex]6a^{2} \sqrt{ab}[/tex]
Step-by-step explanation:
area of square = side x side
thus, each side = square root of area
[tex]\sqrt{36a^5b}[/tex] = 6[tex]\sqrt{a^{4} ab}[/tex] = 6[tex]a^{2}[/tex][tex]\sqrt{ab}[/tex]
You are planning a party. Your friend tells you how much she paid $4.50 for three party grab bags. How much will it cost you to buy seven of the grab bags.
Answers
Answer:
10.5
Step-by-step explanation:
4.50 ÷ 3 = 1.5
1.5 × 7 = 10.5
Answer:
$10.50
Step-by-step explanation:
Divide 4.50 by three. (1.5)
Multiply by 7 (10.5)
I hope this helps!
Plz, marl brainliest!
Please help please help please URGENT PLEASE NEED HELP PLEASE FAST RESPONSE PLEASE
Answers
Answer:
x = -4, x = 4
Step-by-step explanation:
A denominator cannot equal zero since division by zero is undefined.
Set the denominator equal to zero and solve for x. That will give you the values of x that would cause the denominator to be equal to zero and must be excluded from the domain.
x^2 - 16 = 0
(x + 4)(x - 4) = 0
x + 4 = 0 or x - 4 = 0
x = -4 or x = 4
Answer: x = -4, x = 4
help i dont understand how to do this the question is "Put your answer in decimal form."
Answers
Answer:
x = 2.5
Step-by-step explanation:
Hypotenuse ² = opposite ² + adjacent ²
(x + 4)² = x² + 6²
x² + 8x + 16 = x ² + 6²
x² + 8x + 16 - x² = 6²
8x + 16 = 36
8x = 36 - 16
8x = 20
x = 20/8
x = 2.5
................... 8x-0.2=9.8
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
x = 1.25
Step-by-step explanation:
8x - 0.2 =
8(1.25) - 0.2 =
10 - 0.2 = 9.8
hope this helped!
What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula
Answers
Answer:
x= −5−11√13/2, −5+11√13/2Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x= −5−11√13/2, −5+11√13/2
Decimal Form:
x=17.33053201…,
−22.33053201…
Step-by-step explanation:
x(x+5)=387
Simplify
x(x+5).
x^2+5x=387
Subtract 387 from both sides of the equation.
x^2+5x−387=0
Use the quadratic formula to find the solutions.
−b±√b^2−4(ac)/2a
Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1
Simplify.
x=−5±11√13/2
The final answer is the combination of both solutions.
x=−5−11√13/2, −5+11√13/2
The result can be shown in multiple forms.
Exact Form:
x=−5−11√13/2,−5+11√13/2
Decimal Form:
x=17.33053201…,
−22.33053201…
Hope it is helpful....Answer:
[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
x(x + 5) = 387
Step 2: Identify Variables
Rewrite
[Distributive Property] Distribute x: x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides: x² + 5x - 387 = 0Part: a = 1, b = 5, c = -387Step 3: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify: [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex]Expression: 3x2t
If the value is 96 what is t?
Answers
Answer:
t = 16. This is the answer.!
an anchor line for a tower needs to be replaced the tower is 96ft tall. the anchor line is 105ft long. how far from the tower can it be placed, to the from the nearest tenth
a). 142.3ft
b). 42.5ft
c). 9ft
d). 60 ft
Answers
Answer: 42.5ft
Step-by-step explanation: The wording in your question is a little unclear. I assume that you are looking for how far the anchor line is from the base of the tower.
If so, you can use the Pythagorean Theorem.
a^2 + b^ = c^2
96^ + b^2 = 105^2
Solve for b, gives you about 42.53ft round up and it is 42.5 ft :)
Happy to help
if 6n = 0, what does n equal?
Answers
Answer:
6n=0
n=0/6
n=0
hope it helps.
Answer:
n=0
Step-by-step explanation:
6n is the same of 6×n
∴ 6×0 = 0
calculate the Unknown Missing angle measures
Answers
Answer:
Step-by-step explanation:
c=180-123=57
b=180-123=57
d=180-57-55=68
a=180-68-57=55
a,b,c,d=55, 57, 57, 68 degrees
What is the value of Z?
Answers
Answer:
21
Step-by-step explanation:
Answer:
The first option is the answer
FIND THE DOMAIN AND RANGE!!!!
Answers
10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
Answers
Answer:
So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).
Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.
Answers
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
Simplify: |72 - 9 • 7| - 8|16 - 2|
Answers
Answer:
answer is -103
Pls help fast!!
Andrew is buying a new bike. The bike shop is having a special discount of 25% off all bikes. The bike Andrew wants usually sells for $550. What will be the final
price of the bike, including 6% sales tax? Be sure to write all answers to the nearest hundredth.
Discount Amount:
Tax Amount:
Final price:
Answers
25%=0.25
1-0.25=0.75
550x0.75=412.5
6%=0.06
412.5x1.06=437.25$
A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles the lake if the river current is 2 km/h.
Answers
Answer:
5 or 6
Step-by-step explanation:
So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.
then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:
Since the time is 6/x-2 or 15/x
15/x-6/x-2=1
multiply everything to get a common denominator then cancel it out to get
(15x-30)-6x=x^2-2x
11x-30=x^2
x^2-11x+30=0
(x-5)(x-6) is factored form.
so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h
Two fuel tanks with the dimensions shown have the same volume. What is the value of ?
Answers
Answer:
The height is 2ft
Step-by-step explanation:
I need help with my last 2 problems
Answers
Answer:
19)2862 is how old the grecian pottery thing is
20)1260 calories in the whole bread
Step-by-step explanation:
954x3=2862
210x6=1260
can i get brainliest plzzzz
X/4=8
Solve that using the opposite operation
Answers
Answer:
x = 32
Step-by-step explanation:
4 • (x/4) = 8 • 4
x = 32
Step-by-step explanation:
[tex]\qquad\sf\dashrightarrow x/4=8 [/tex]
[tex]\qquad\sf\dashrightarrow x=4×8 [/tex]
[tex]\qquad\sf\dashrightarrow x=32 [/tex]
A wire attached to the top of a building makes a 15° angle with the ground. If the building is 25 feet high, how
long is the wire?
Answers
Answer:
96.6feet
Step-by-step explanation:
,
From the attachment, we can see that a triangle is formed.
From trigonometry,
Sin(X)= opposite/hypothesis
Where Opposite sides=25feet
Hypotenuse sides= X feet
Sin(15)= 25/X
Cross multiply
Sin(15)= 0.2588
0.2588=25/X
X= 25/0.2588
X=96.6feet
Hence, the wire is 96.6 feet high
CHECK THE ATTACHMENT FOR THE FIQURE.
Sara uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answers
Answer:
1.9
Step-by-step explanation:
7.6/4= 1.9
1.9*1= 1.9
ans is 1.9 pints
Find the height of the trapezoid. A trapezoid. The base lengths are 10 meters and 6 meters. The area is 40 square meters.
Answers
Answer:
5 meters
Step-by-step explanation:
A=a+b/2*h
40=10+6/2*h
40=8h
h=5
Answer:
Step-by-step explanation:
36
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain? 132.12 meters
Answers
Answer:
367meters
Step-by-step explanation:
220.2 = 0.6 * h
220.2/0.6 = 0.6 * h / 0.6
367 = h
367 meters
-0.1=-10c. Solve each equation
Answers
Answer:
c = 0.01
Step-by-step explanation:
divide both sides by -10 to isolate c
-0.1 = -10c
/-10. /-10
0.01 = c
c = 0.01
Plz help me with 18 is not -0.95
Answers
Answer:
Please refer to the attachment.......
Please help. Due today.
Answers
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
because 2^ 3= 16 so you can pull it out.
help please i’ll give extra points