Answers
Answer:
Option (3)
Step-by-step explanation:
Two variables 'x' and 'y' show the proportional relationship if,
y ∝ x
y = kx
Here, k = Proportionality constant
Option (1)
If Sandra sold 2 bracelets for $3 and 3 bracelets for $6.
For y = 3 and x = 2,
3 = 2k
k = 1.5
For y = 6 and x = 3
6 = 3k
k = 2
Here, proportionality constant is different in both the cases.
Therefore, Option A doesn't show the proportional relationship.
Option (2)
Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.
For y = 20 and x = 4,
20 = 4k
k = 5
For y = 24 and x = 6,
24 = 6k
k = 4
Here, proportionality constant is different in both the cases.
Therefore, there is no proportional relationship.
Option (3)
Lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.
For y = 27 and x = 9
27 = 9k
k = 3
For y = 81 and x = 27,
81 = 27k
k = 3
Here, proportionality constant is k = 3 for both the cases.
Therefore. Option (3) is the answer.
Option (4)
Fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes.
For y = 8 and x= 2.
8 = 2k
k = 4
For y = 16 and x = 8,
16 = 8k
k = 2
Here, proportionality constant is different in both the cases.
Therefore, Option (4) is not the answer.
Related Questions
Plz help meee <3 kitty’s
Answers
Answer:
linear means a line (that eliminates c and d)
as "X" increases the "Y" value "DECREASES" so the answer is "B"
Step-by-step explanation:
Answer:
B. Linear decreasing
Step-by-step explanation:
The graph appears to have a negative slope, and it is a straight line. This means the graph will be linear. An exponential growth/decay would have a curved line, so those are automatically out. Since the farther the points go the more downwards the line is, this means it is decreasing.
hope this helped. :)
Triangle ABC is similar to triangle DEF. Find the measure of side EF. Round your
answer to the nearest tenth.
B
50
F
D
41
HELP PLEASEEEE
Answers
Answer:
83.5units
Step-by-step explanation:
Find the diagram attached
Since both triangles are similar, then;
AB/DB = BC/EF
11/54 = 17/EF
Cross multiply
11EF = 17 * 54
11EF = 918
EF = 918/11
EF = 83.5
Hence the length of EF to the nearest tenth is 83.5units
Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.
Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.
What is the value of x?
5
10
20
25
Answers
Given:
In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].
To find:
The value of x.
Solution:
In a parallelogram, the consecutive interior angles are supplementary angles.
In parallelogram PQRS,
[tex]m\angle Q+m\angle R=180^\circ[/tex] (Supplementary angles)
[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]
[tex](20+8x)^\circ=180^\circ[/tex]
[tex]20+8x=180[/tex]
Subtracting 20 from both sides, we get
[tex]8x=180-20[/tex]
[tex]8x=160[/tex]
Divide both sides by 8.
[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]
[tex]x=20[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
Solve 12x + 5 = 4x + 37
Answers
Step-by-step explanation:
12x-4x=37-5
8x=32
x=32/8
x=4
7.80/hour=________ cents/minute?
Answers
Answer: 0.13 cents per minute.
Step-by-step explanation:
7.80 divided by 60(min per hour.)= .13 cents.
$7.80/hour = (7.8*100) cents / (1*60)minutes
= 780 cents/60 minutes
= 13 cents/minute
What 2 numbers add to get -9 and multiply to get -30?
Answers
Answer:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
Step-by-step explanation:
Let be x the first number and y the second number.
So we have:
[tex]x+y=-9[/tex] (1)
[tex]x*y=-30[/tex] (2)
Solve x from equation 1 and put it into equation 2
[tex]x=-9-y[/tex]
[tex](-9-y)*y=-30[/tex]
[tex]-9y-y^{2}=-30[/tex]
[tex]y^{2}+9y-30=0[/tex]
Solving this quadratic equation and put it on the equation (1) the solutions will be:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
I hope it helps you!
Which steps can be done to both sides of the equation to determine the value of x ?
3.2.2 - 9.6 = 38.4
A. subtract 9.6, then multiply by 3.2.
B. Add 9.6, then multiply by 3.2.
C. Add 9.6, then divide by 3.2.
D. Subtract 9.6, then divide by 3.2.
Answers
Answer:
C. Add 9.6, then divide by 3.2.
Step-by-step explanation:
[tex]3.2x−9.6=38.4[/tex]
[tex]3.2x=38.4+9.6[/tex]
[tex]3.2x=48[/tex]
[tex]x = \frac{48}{3.2} [/tex][tex]x = 15[/tex]
Hope it is helpful...For a car to qualify as a High Occupancy Vehicle (HOV), it must have at least _____ people.
A.
4
B.
2
C.
varies
D.
3
Answers
Answer: i would like to sad it varies
Step-by-step explanation: the number of people required for a Vehicle to be an HOV i would say exactly 2 and greater. The state Laws also applies, so i'll add that onto it varies
Hello help me with these ones pls
Answers
Answer:
(-1,3)
Step-by-step explanation:
Solve for x in the first equation
3x = 6 - 3y
9x - 5y= -24
Replace all occurrences of x with 2 - y in each equation
9(2 - y) - 5y = -24
x = 2 - y
Simplify the left side
18 - 4y = -24
x = 2 - y
Solve for y in the first equation
-14y = -42
x = 2 - y
y=3
x = 2- y
Replace all occurrences of y with 3 in each equation
x=-1
y=3
(-1,3)
Hope this helps!
Please give brainliest :)
If you need more help with these types of equations reach out to me!
Simplifying
3x + 6 = 9x + -24
Reorder the terms:
6 + 3x = 9x + -24
Reorder the terms:
6 + 3x = -24 + 9x
Solving
6 + 3x = -24 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
6 + 3x + -9x = -24 + 9x + -9x
Combine like terms: 3x + -9x = -6x
6 + -6x = -24 + 9x + -9x
Combine like terms: 9x + -9x = 0
6 + -6x = -24 + 0
6 + -6x = -24
Add '-6' to each side of the equation.
6 + -6 + -6x = -24 + -6
Combine like terms: 6 + -6 = 0
0 + -6x = -24 + -6
-6x = -24 + -6
Combine like terms: -24 + -6 = -30
-6x = -30
Divide each side by '-6'.
x = 5
Simplifying
x = 5
How to solve it and explain it
Answers
Answer:
2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
let the third side ( hypotenuse ) be x , then
x² = 1² + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
a classrom contains 25 children ,out of which 6 are girls.What percent are boys?
Answers
Answer:
76%
Step-by-step explanation:
Number of students=25
Number of girls=6
Number of boys=25-6=19
% of boys=number of boys/number of students x 100
=19/25x100
=19x4=76%
The equation |x-3| = 4 has what solutions?
Answers
Answer:
x-3=4
x=4+3
X=7
or
x-3=-4
x=-4+3
x=-1
-1 and 7
Step-by-step explanation:
Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.
So within the notation, we have two possibilities to the solution, a positive and negative value.
In other words, |4| = 4 and |-4| = 4
Hence, we only need to substitute x with an appropriate integer to satisfy the answer.
|x - 3| = 4
substitute x = 7
|7 - 3| = 4
|4| = 4
substitute x = -1
|-1 - 3| = 4
|-4| = 4
Therefore the solutions to x is x = 7 and x = -1.
Volume How many fluid ounces are in each size?
1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart
1 Quart = _________fl oz
Answers
Answer:
32
Step-by-step explanation:
a quart is four cups 8,16,24,32 so 32
Answer: 1 Quart is equal to 32 fluid ounces (oz).
Step-by-step explanation:
Please help me out I don't remember how to do this
Answers
Answer:
D)
Step-by-step explanation:
0.04, 0.40, 4.04, 40.04
Hello! I wanted answer with explanation
If you didn't understand what question in the screen I can't tell you...
Question: In an election, there are a total of 80,000 voters and there are two candidates A and B. 80% of the voters go for the polls and out of which 60% vote for A. How many voters does B get?
I hope you answer...
Thank you!
Answers
Do 80/100 * 80,000 to find how many voters actually voted (it should be 64,000). Then it says that 60% of those people voted for A, so that means 40% of them voted for B. Do 40/100 times 64,000
John is buying new shoes. He finds the shoes he wants on sale for 30%, and the original price is $88. How much will he pay for the shoes?
Answers
Answer:
61.6 dollars
Step-by-step explanation:
So, lets go over what we know:
The shows orginally cost 88 dollars.
They are 30% less than that.
This basically means that the shoes will cost 70 percent of their orginal price.
We can basically find the new cost by multiplying the 88 dollars by the 70 percent.
Or, multiplying 88 by 0.7, which is the decimal form of 70%.
88*0.7=61.6
How did I get this?
Multiply 80 by 0.7:
7*8=56
We have 0.7 so it = 5.6
However, it's tens place is 80, not 8, so it will be = 56
It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8
= 5.6
56+5.6=61.6
So 61.6 is our answer.
Hope this helps!
Answer:
$61.60
Step-by-step explanation:
the other answer is correct.
just to add some explanation about the % considerations.
we know $88 is 100%
in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).
so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.
70% = (100% / 100) × 70 = 100% × 70 / 100
70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)
70% = 100% × 0.7
70% = $88 × 0.7 = $61.60
Find the squares of a+3b
Answers
Answer:
3ab
Step-by-step explanation:
because it is answer
Need help with this question
Answers
Answer:
B.
Step-by-step explanation:
you know that (a+b+c)/d is the same as a/d + b/d + c/d.
and (a×b)/(c×d) is the same as (a/c)×(b/d).
and the powers of variables subtract when the variables are divided, and the powers add when the variables are multiplied.
14a⁸y³ / 7a⁴y
14/7 = 2
a⁸/a⁴ = a⁴
y³/y = y²
=> 2a⁴y² is the first part. that eliminates already all other answer options. only B can be right.
but let's practice and look at the second part :
-7a⁴y⁵ / 7a⁴y
-7/7 = -1
a⁴/a⁴ = 1
y⁵/y = y⁴
=> -y⁴ is the second part. B is still confirmed.
the third part :
28a¹²y² / 7a⁴y
28/7 = 4
a¹²/a⁴ = a⁸
y²/y = y
=> + 4a⁸y is the third part. B confirmed.
Determine the value of x.
A right triangle has 2 sides with a length of 6 centimeters. The length of the hypotenuse is x centimeters.
Answers
Answer:
6^2 + 6^2 = 72 sqrt(72) = 8.49
Step-by-step explanation:
use pythagorean therom a^2 + b^2 = c^2
where c is the hyp.
Answer: 6 sqrt 2
Step-by-step explanation:
Write this number in scientific rotation. 1,490,000.
Answer and explain.
Answers
Answer:
4.9 x 10^5
Step-by-step explanation:
the answer is 4.9 x 10^5
1 490 000 = 1.49 x 1 000 000 = 1.49 x 10^6
A number line is shown below. The
numbers 0 and 1 are marked on the line, as are two
other numbers a and b.
Which of the following numbers is negative? Choose
all that apply.
a-b
ab
-b
ab + 1
Answers
Answer:
-b
Step-by-step explanation:
1 is b and a negative sign shows that the number is a negative in -b there is a negative sign and b = 1 so this -b shows the number -1
The radius of the circle is 7 cm. What is the area of the shaded part? Use π = 227
Answers
Answer:
227 * 7^2
Put into calculator
Step-by-step explanation:
Area of a circle is pi * r^2 (pi times radius squared)
Just put the numbers in
227 * 7^2
Put into calculator and there you go
m∠RST =______because they are __________ (Fill in the blanks)
Answers
Answer:
∠RST = ∠SRU because they are alternate angles.
Step-by-step explanation:
Hope it helps .
A used automobile dealership recently reduced the price of a used compact car by %. If the price of the car before discount was $, find the discount and the new price.
Answers
Answer:
$1674
$16926
Step-by-step explanation:
A used automobile dealership recently reduced the price of a used compact car by 9%. If the price of the car before the discount was $18,600, find the discount and the new price?
Discount = percentage discount x original price
0.09 x $18,600 = $1674
New price = original price - discount
$18,600 - $1674 = $16926
Which statements are true about the graph of
y< 2x + 1? Check all that apply.
y < 2
The slope of the line is 1.
O The line is solid.
The area below the line is shaded.
A solution to the inequality is (2, 3).
The x-intercept of the boundary line is (-3,0).
Answers
Answer:
I think the answer is The x-intercept of the boundary line is (-3/2,0).
Step-by-step explanation:
the x-intercept of boundary line is (-3,0)
Step-by-step explanation:
hope it helps thanks❤
DEF is a dilation image of ABC. What is the scale factor?
2
1/2
1/4
2/3
Answers
Answer:
Option (2)
Step-by-step explanation:
ΔDEF is a dilation image of ΔABC.
Rule for the dilation,
Scale factor = [tex]\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}[/tex]
= [tex]\frac{DE}{AB}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, scale factor by which ΔABC is dilated is [tex]\frac{1}{2}[/tex].
Option (2) will be the correct option.
can someone help please
Answers
Answer:
3a. (i). Sequence [tex]V_{n}[/tex] is in Arithematic
(ii). Sequence [tex]W_{n}[/tex] is in Geometric
3b. 2520 Sum of First 20 Arithmetic Sequence
3c. 98292 Sum of First 13 Geometric Sequence
Step-by-step explanation:
According to the Question,
3a. (i) Arithmetic Sequence ([tex]V_{n}[/tex]) = 12 , 24 , 36 , 48 .....
it is a sequence of numbers such that the difference between the consecutive terms is same. example → 24+12=12 , 36-24=12 , 48-36=12 ∵Common Difference=12
(ii) Geometric Sequence ([tex]W_{n}[/tex]) = 12 , 24 , 48 , 96 .....
A geometric series is a series for which the ratio of each two consecutive terms is a constant function. example → 24/12= 2 , 48/24= 2 , 96/48= 2 ∵Common Ratio=2
3b. Sum of first 20 terms of Arithematic sequence, [tex]S_{n}=\frac{n}{2}[2a + (n-1) d][/tex]
(Where, a=first term of sequence , n= number of term & d=common difference)
[tex]S_{n}[/tex]=10[2×12 + 19×12]
[tex]S_{n}[/tex] =10×252 ⇔ 2520
3c. Sum Of First 13 term of a geometric sequence, [tex]S_{n}= \frac{a(r^{n}-1) }{r-1}[/tex]
(Where, a=first term of sequence , n= number of term & r= common ratio)
[tex]S_{n}[/tex]=12([tex]2^{13}[/tex]-1) / 2-1
[tex]S_{n}[/tex]=12×8191 ⇔ 98292
Divide 4000 into two parts such that 15% of the first part equals 25% of the second part.
Answers
X= entire first part
Y=entire second part
,15x=,25(4000-x)
.15x= 1000-.25x
2/5x=1000
2x=5000
x=2500
4000-x=y
4000-2500=y
y=1500
Check*
.15x=.25y
.15(2500)=.25(1500)
375=375
Would appreciate a brainlist ty :)
.
Aere are two squares. A and B.
A
B
The length of each side of square B is 4 cm greater than the length of each side of square A.
The area of square B is 70 cm² greater than the area of square A.
Find the area of square B.
Give your answer correct to 3 significant figures.
You must show all your working.
Answers
Answer:
116 cm²
Step-by-step explanation:
a = side length of A
b = side length of B
b = a + 4
b² = a² + 70
(a+4)² = a² + 70
a² + 8a + 16 = a² + 70
8a + 16 = 70
8a = 54
a = 54/8 = 27/4 = 6.75
b² = a² + 70 = 6.75² + 70 = 45.5625 + 70 =
= 115.5625 ≈ 116 cm²
our does your teacher mean 3 significant figures after the decimal point ? then it would be
115.563 cm²
what is the simplist form of 240/1000
Answers
Divide by 100 to reduce it to 24/100
Now divide by 4 to get 6/25
The simplest form is 6/25