Please help right now (30 points if you’re interested) The table shows the ratio between the number of books ordered and their cost. 7,14 8,16 9,18. Find equivalent ratios when the number of books ordered is 1,2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin explain how to plot three equivalent ratios on a coordinate grid.
Answers
The equivalent ratios are: (1, 2), (2, 4), and (3, 6)
The graph can be plotted on a coordinate grid as shown in the diagram attached below.
Recall:
Ratio between two quantities, x and y, can be represented by the equation, y = kx, where k is the constant of proportionality.k = y/xLet x = number of books
y = cost (dollars)
Using any of the ordered pairs from the table, say, (7, 14), find k:
k = y/x = 14/7 = 2
Write the equation by plugging in the value of k into y = kx
y = 2x
Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:
When x = 1:
y = 2(1) = 2 --> (1, 2)
When x = 2:
y = 2(2) = 4 ---> (2, 4)
When x = 3:
y = 2(3) = 6 ---> (3, 6)
The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.
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Related Questions
Two numbers are in the ratio 2:3 and their sum id 45 then find both number
Answers
Answer:
Step-by-step explanation:
Let the two numbers be 2x and 3x.
According to the question,
2x+3x=45
5x=45
x=45/5
x=9
so th required numbers are 18 and 27 as
2x=2*9=18
3x=3*9=27
It is given that,
→ Two numbers are in the ratio 2:3.
→ Their sum is 45.
We have to,
find the both required numbers.
Now assume numbers as,
→ 2y and 3y
As per the given information,
→ 2y + 3y = 45
First we can find the value of y,
→ 2y + 3y = 45
→ 5y = 45
→ y = 45/5
→ [y = 9]
The given ratio is,
→ 2 : 3
Let's find the value of 2y,
→ 2y --- {y = 9}
→ 2 × (9)
→ 18
Let's find the value of 3y,
→ 3y --- {y = 9}
→ 3 × (9)
→ 27
Hence, the number is 18 and 27.
Find the volume of this sphere please.
As soon as possible…
Answers
Answer:
32cm^3
Step-by-step explanation:
(4/3)*3*(2)^3=32
The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure
Answers
Answer:
Tue area of the new figure is 28ft
Step-by-step explanation:
Each side 20/4=5
The length 5+2=7
The width 5-1=4
The area 7x4=28
Instructions: Find the measure of the indicated angle to the nearest degree.
Answers
Step-by-step explanation:
I don't have a calculator with me right now but I can give you the equation to work out your answer.
cos-1(35/38)
There should be a function of "cos-1" on you're calculator, not just "cos"
hope it helps :)
A fair spinner is divided into 3 equal sections : red blue and green, it is spun 5 times what is the probability of getting red twice
Answers
Answer:
80/243
or
.329218107
Step-by-step explanation:
This is a binomial distribtuion
THe probability of red= 1/3
the probability of not red= 2/3
Probability of getting exactly 2 reds in 5 spins
[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]
or
80/243
(x-1)(x-2)(x-3)(x-4)(x-5)=0
Answers
Answer:
x=1, x=2, x=3, x=4, x=5
Step-by-step explanation:
set each expression in the parenthesis equal to 0 to solve for the roots
Guided Practice
You drop a handball from a height of 100 centimeters. Each curved path has 64% of the height of the previous path.
Write a rule for the sequence using centimeters. The initial height is when n = 1.
What height will the ball reach at the top of the sixth path?
A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm
B.
an=0.64 · (100)n−1a subscript n baseline equals 0.64 times left parenthesis 100 right parenthesis superscript n minus 1 baseline; about 0.11 cm
C.
an=1 · (0.64)n−1a subscript n baseline equals 1 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; 6,400,000,000 cm
Answers
Answer:
The correct choice is (A)
Answer:
A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm
Step-by-step explanation: I got it off of the internet
Step 1 of 1
In geometric sequence, the ratio between two consecutive terms is constant. This ration is called the common ratio.
Consider the following sequence:
Thus the common ratio of the sequence is .
...............................................................................................................................................
You drop a handball from a height of 1 meter. Each curved path has 64% of the height of the previous path. A. A(n)= 100*(0.64)^n-1
what amount of money is to be deposited in a bank to get RS 1225 in 9/2 year with the rate of intrest 5%
Answers
Answer:
rs.6,300
Step-by-step explanation:
Simple Interest, S.I. = Rs. 1260 =
100
PR×2
=
50
PR
-(i)
Compound Interest, C.I. = Amount(A) - Principle(P)
=P(1+
100
R
)
2
- P = PR(R/10000+1/50)=Rs.1323 -(ii)
Dividing (ii) by (I),
200
R
+1 =
1260
1323
⇒Rate,R=10%p.a.
Now,
100
PRT
=1260
⇒
100
P×10×2
=1260
The amount of money that we need to deposit in the bank to get RS 1225 is RS 1100.03.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.
Suppose we need to deposit the P amount to get RS 1225
By compound interest formula,
1125 = P(1 + 0.05)^(9/2)
P = RS 1100.03
Hence "We need to deposit Rs. 1100.03 in the bank in order to receive Rs. 1225".
For more information about compound interest,
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i need help
measure of each labeled angle
Answers
Answer:
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]
[tex]\sf m\angle B = 2x = \bf 80^o [/tex]
[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]
Step-by-step explanation:
A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,
[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]
Substitute the given values ,
[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]
Simplify the RHS by adding the variables ,
[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]
Add 20° to both sides ,
[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]
Add the numbers in RHS ,
[tex]\sf\longrightarrow 5x = 200^o [/tex]
Divide both sides by 5 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]
Therefore ,
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex] [tex]\sf m\angle B = 2x = \bf 80^o [/tex] [tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]which of the following choices evaluates 2f^2 + (h-g)^3 when f=2, g=3, and h=4
a: 11
b: 3
c: 9
Answers
H I wanted to ask if that in high school math is harder than middle school?
Answers
Answer:
Yes, it is harder.
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
What values complete the table if y = x√3
x
3
?
Answers
Answer:
O . A) -3, 0 , 3
Step-by-step explanation:
Since y is equal to
[tex] \sqrt[3]{x} [/tex]
Just replace X with the values in the first box
Need help please!
(5^3)^6
Answers
Answer:
[tex]5^{18}[/tex]=3,814,697,265,625
Step-by-step explanation:
Multiply the exponents
3×6=18
[tex]5^{18}[/tex]
Answer:
Simplest value of given expression = 5¹⁸
Step-by-step explanation:
Given algebraic equation;
[5³]⁶
Find:
Simplest value of given expression
Computation:
Given fraction [5³]⁶
Using Property of exponents
[Xᵃ]ᵇ = X ᵃ ˣ ᵇ
So,
Using Property of exponents
⇒ [5³]⁶
⇒ 5 ³ ˣ ⁶
⇒ 5¹⁸
Simplest value of given expression = 5¹⁸
Sam bought an electric iron as a price of 25 less than the original price if the original price of it is $2500 at what price did Sam buy the electric iron
Answers
Answer:
$2475 or $1875
Step-by-step explanation:
Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475
However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625
$2500-$625= $1875
3 to the power 10=
Pls answer fast
Answers
The answer is 59049.
Kuaaahahahahahahahah!
Which equation justifies why ten to the one third power equals the cube root of ten?
Answers
Answer:
Step-by-step explanation:
AC and D are all wrong. The all add or subtract something from 3 which is not going to keep the two sides of the equation equal.
Only B is correct. To get the two sides equal, you need to multiply the powers by the same constant. B does this. The powers and the constant 1/3 * 3 are the same on both sides.
Please help me please!!
Answers
Answer:
Extracting out that inner right angle.
Hypotenuse = 8
Height = h
Adjacent :
[tex] = \frac{10}{5} = 2[/tex]
Height, h :
[tex]{ \tt{h = \sqrt{ {8}^{2} - {5}^{2} } }} \\ { \tt{h = \sqrt{64 - 25} }} \\ { \tt{h = \sqrt{39} }} \\ the \: height \: is \: { \boxed{6.2}} \: units[/tex]
HELPPPP MEEEEE OUTTTTT PLEASEEEE ASAPPPP!!!!
Answers
Answer:
sin X =35/37
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin X = opp side / hypotenuse
sin X =35/37
How much money will be in a bank account after 7 years if $8 is deposited at a interest rate of 5% compounded annually? Round to the nearest dollar
Ps need help ASAP
Answers
Thank you to please let me know if I have to be at the
Find the cost of 5¾ m of cloth at rupees 42½ per metere
Answers
Length of cloth = 5³/4 m -> 23/4 m -> 5.75 m
Cost of cloth per m = ₹42¹/2 -> ₹42.5
Therefore, Cost of 5.75 m = 5.75 × ₹ 42.5 = ₹244.375
Answer = 5.75(5³/4) metres of cloth costs ₹ 244.375
Answer:
Answer given below
Step-by-step explanation:
[tex]5\frac{3}{4}[/tex] m = 5*4 + 3 / 4
= 23/4 m
[tex]42\frac{1}{2}[/tex] rupees = 42*2 + 1 / 2
= 85/2 rupees
cost of 1 meter cloth = 85/2
cost of 23/4 meter cloth = 85/2 * 23/4
= rupees 1955/8
= [tex]244 \frac{3}{8}[/tex] rupees
Find the volume. Leave answer in exact form (in terms of π)
Answers
Answer:
704π
Step-by-step explanation:
V = π×r²×h
= π×8²×11
= 704π yd³
HELP QUICK!!!! JFKWOFKWKOFKECKEOVKEMKFMEKGONGKSIFNDKDKSKEKNFSW
Answers
Answer:
your correct
Step-by-step explanation:
Answer:
I think the one you have answered is correct.
which describes a greater unit rate of change of Y with respect to X the equation Y = 4.5x or the table
Answers
Answer:
The proportional relationship is same
Step-by-step explanation:
Generally, we can get the unit rate by dividing the y-value by the x-value
This will be;
9/2 or 18/4 or 27/6 = 4.5
from what we have y = 4.5x
Now, as we can see, the proportional relationship is same
△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.
Answers
Answer:
b = 5
Step-by-step explanation:
△STR ≅ △LMN
This means the corresponding sides are equal.
SR and LN are corresponding sides.
SR and LN are equal.
The value of b is 5.
The value of SR is 43
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
△STR ≅ △LMN
This means the corresponding sides are equal.
SR = 7b + 8
LN = 11b − 12
SR and LN are corresponding sides.
SR and LN are equal.
So,
7b + 8 = 11b − 12
Subtract 7b on both sides.
8 = 11b - 7b - 12
Add 12 on both sides.
8 + 12 = 4b
20 = 4b
b = 20/4
b = 5
Now,
SR:
= 7b + 8
= 7 x 5 + 8
= 35 + 8
= 43
Thus,
The value of b is 5.
The value of SR is 43
Learn more about triangles here:
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Describe how the rate of change and initial value of the linear function are represented in the graph of the function
Answers
Answer:
c on edge
Step-by-step explanation:
Given: APRS, RS=10
mZP=45º, mzS=600
Find: Perimeter of APRS
Answers
Answer:
Perimeter of ΔPRS = 35.91 units
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in the given triangle PRS,
m∠P + m∠R + m∠S = 180°
45° + m∠R + 60° = 180°
m∠R = 75°
By applying sine rule,
[tex]\frac{\text{sinP}}{RS}= \frac{\text{sinS}}{PR}=\frac{\text{sinR}}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}[/tex]
PR = 12.25 units
[tex]\frac{\text{sin}(45^{\circ})}{10}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
PS = 13.66 units
Perimeter of triangle PRS = PR + PS + RS
= 12.25 + 13.66 + 10
= 35.91
Find all real and non-real roots of the function ƒ(x) = x2 + 49. Question 1 options: A) x = –7, 7 B) x = –7i, 7i C) x = –49i, 49i D) x = i + 7, i – 7
Answers
Answer:
B
Step-by-step explanation:
f(x) = x²+49 , rewrite the equation
x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides
x² = -7², square root both sides
√x² =√-7², consider √-1 =i
x= ±7i
the roots are -7i and 7i
Answer:
B
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
x² + 49 = 0 ( subtract 49 from both sides )
x² = - 49 ( take the square root of both sides )
x = ± [tex]\sqrt{-49}[/tex] = ± 7i
Solutions are x = - 7i, x = 7i
The multiplicative inverse of -3/11 × 1/5 is
Answers
Answer:
-55/3
Step-by-step explanation:
-3/11 x1/5
-3/55
Multiplicative inverse means Reciprocal of -3/55 [That means the numerator goes to the denominator and the denominator to the numerator]
=> -55/3
Solve system by elimination -9x - y =-19
5x + y = 15
Answers
Answer:
(1, 10 )
Step-by-step explanation:
Given the 2 equations
- 9x - y = - 19 → (1)
5x + y = 15 → (2)
Adding the 2 equations term by term will eliminate the y- term
- 4x + 0 = - 4
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
5(1) + y = 15
5 + y = 15 ( subtract 5 from both sides )
y = 10
solution is (1, 10 )
Anyone knows the answer?
Answers
Answer:
D) (2,-1)
Step-by-step explanation:
These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.
