Answers
Answer:
16) The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.
17) The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.
Step-by-step explanation:
we need to determine if the ratios form the proportions.
16) [tex]\frac{5}{27},\frac{3}{16.2}[/tex]
If the ratios are proportional, their cross product will be equal. i.e. [tex]\frac{a}{b}=\frac{c}{d}[/tex]
So, finding cross product and checking:
[tex]\frac{5}{27}=\frac{3}{16.2}\\5(16.2)=3(27)\\81=81[/tex]
Since the cross product is equal i.e. 81=81 so, the ratios are proportional.
The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.
17) [tex]\frac{34}{9},\frac{25}{7}[/tex]
If the ratios are proportional, their cross product will be equal. i.e.
[tex]\frac{a}{b}=\frac{c}{d}\\ad=cb[/tex]
So, finding cross product and checking:
[tex]\frac{34}{9}=\frac{25}{7}\\7(34)=25(9)\\238\neq 225[/tex]
Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.
The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.
Related Questions
Name two planes that intersect in SW in the
figure to the right
Answers
Plane XTS and Plane VRS
A option
Does this graph have 10 or 9 squares, 10 or 9 years, I think I might be going insane
Answers
Answer:
10 years
Step-by-step explanation:
If a rectangle has a perimeter of 58 ft and a length of 4 feet what is the width of the rectangle?
Answers
Answer:
25ft
Hoped this helped!
Six segments form two triangles. AB = 3 cm, FE =11cm, CB = 9 cm, DE = 9 cm, CA=11 cm, and FD = 3 cm. (a) Write a triangle congruency statement. (b) What postulate guarantees that these triangles are congruent?
Answers
Step-by-step explanation
1 Which point has coordinates (2, 2)?
A. Point A
B. Point C
C. Point F
D. Point G
I NEED THIS NOW PLEASE HELP
Answers
Answer:
g
Step-by-step explanation:
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answers
Answer:
B
Step-by-step explanation:
The other are equal
plz help me or dont lol
Answers
Answer:
x = 8
Step-by-step explanation:
:)
Answer:
8
Step-by-step explanation:
I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).
so 4x-6 = 7x-30
moving like terms together,
7x-4x = -6 + 30
3x = 24
x = 24/3
x = 8
An elevator is on the 15th floor. it goes down eight floors. What floor is the elevator on now?
Answers
Answer:
7
Step-by-step explanation:
15 - 8 = 7
A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.
Answers
Answer:
1)
4(x+3)+4x=28
Solve
4x+12+4x=28
Combine
8x+12=28
Isolate
8x=16
Isolate
x=2
Substitute
4(2+3)=20
4*2=8
Now find each side
20/4=5
8/4=2
So one side is 5
Other side is 2
PLS HELP AND EXPLAINNN
Find the area of a circle with a radius of 9
i know the formula but im doing something wrong i need help
Answers
Answer:
A≈254 cm^2
Step-by-step explanation:
The area of a circle is given by formula: π r^2
π has a constant value of 3.14 And the radius of the circle is 9 c m
the area= π r^2 = 3.14 x (9)^2 cm^2
= 3.14 × ( 81 )
= 254.34 c m^2
≈ 254 c m^2
taryn sold gift wrapping paper for a school project she sold 15 rolls of paper write an inequality to represent the amount she earned for the fundraiser
Answers
Answer:
Step-by-step explanation:
15× 8 = 120
Answer:
d ≥ 120
Step-by-step explanation:
Multiply 15 x 8
= 120
At Least means we use the ≥ sign.
So its d ≥ 120
Sorry if this is late!
[tex](\frac{1}{4} m^{2} n)^{3} * (-32m^{2}n)[/tex]
PLEASE PROVIDE AN EXPLANATION, I'M UNSURE OF HOW TO FIND THE ANSWER
Answers
Answer:
[tex]\bold{(\frac14m^2n)^3*(-32m^2n)=-\frac12m^8n^4}[/tex]
Step-by-step explanation:
[tex](\frac14m^2n)^3*(-32m^2n)=\\\\=(\frac14)^3*(m^2)^3*n^3*(-32)*m^2*n=\\\\= \frac1{64}*m^{2\cdot3}*n^3*(-32)*m^2*n=\\\\= \frac1{64}*(-32)*m^{6}*m^2*n^3*n=\\\\=-\frac{32}{64}*m^{6+2}*n^{3+1}=\\\\=-\frac12m^8n^4[/tex]
Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor
Answers
Step-by-step explanation:
3x³ - 4x² - 28x - 16
= (x + 2)(Ax² + Bx + C)
= Ax³ + (2A + B)x² + (2B + C)x + 2C.
By Comparing Coefficients, we have:
A = 3,2A + B = -4,2B + C = -28,2C = -16.Solving them will give A = 3, B = -10 and C = -8.
Hence 3x³ - 4x² - 28x - 16
= (x + 2)(3x² - 10x - 8)
= (x + 2)(3x + 2)(x - 4).
The answer is f(x) = (x + 2)(3x + 2)(x - 4).
What is the coefficient in the inequality 3x=10?
Answers
I need help with this
Answers
Answer: option #2
Step-by-step explanation:
each new number equals the previous number x4.
2*4=8
8*4=32
32*4=128
5. (0,0) and (-2,-8) Slope=_ Equation=_
Answers
Need help with math homework
Answers
what is the question you need to ask
HELPP ME I JUST HAVE A 67 IF I GET THIS ONE WORN GI HAVE A 50 AS A GRADE PLEASEE
Answers
Answer:
4,000 cm
Step-by-step explanation:
10,000 x 0.4
just do 10,000 x 4
(40,000)
and then move the decimal point one space to the left
(4,000)
10,000*0.4=4000
Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!
Answers
Answer: (16/25)
Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.
The difference between 31 and a number is 7
Answers
Answer:
thirty-eight
Step-by-step explanation:
31+7= answer
Answer:
i think its either 38 or 24
Step-by-step explanation:
I'm having trouble with this question from writing linear equations given two points worksheet by Kuta software can you help? question: (-20, -16), (-1, 18)
Answers
Answer:
19y - 34x = 376
Step-by-step explanation:
We are to write the linear equation of a line passing through the points
(-20, -16), (-1, 18)
Using the points slope form of the equation expressed as;
y-y0 = m(x-x0)
m is the slope
(x0,y0) is any point on the line
m = y2-y1/x2-x1
m = 18-(-16)/-1-(-20)
m = 18+16/-1+20
m = 34/19
Substitute the slope m =34/19 and the point (-1, 18) into the expression given
y- 18 =34/19(x-(-1))
19(y-18) = 34(x+1)
19y - 342 = 34x+34
19y-34x = 34+342
19y - 34x = 376
Hence the required equation is 19y - 34x = 376
Write an equation of the line with the given slope and y-intercept. slope: -3 y-intercept: -6
Answers
Answer:
The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
Step-by-step explanation:
We need to write an equation of the line with the given slope and y-intercept. slope: -3 ,y-intercept: -6
The general equation for slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given in the question:
slope: -3 y-intercept: -6
So, we have slope m = -3 and y-intercept b = -6
Putting values in the slope-intercept form equation:
[tex]y=mx+b\\y=-3x-6[/tex]
So, The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
A right rectangular prism has edge lengths of 1 1/3 inches, 2 inches, and 1 2/3 inches. What is the volume of the prism?
Answers
Answer:
264/9 = 29.34
Step-by-step explanation:
(11/3)*(12/3)*2
Answer:
29.34
Step-by-step explanation:
Clint completly filled his 18 gallon tank of gas with regular fuel for 55.08. As he left the gas station he noticed the station arcross the street sold regular fuel for 2. 99 Per gallon how much money could have clint saved per gallon is he had gone to the station across the street
Answers
Answer: 1.26
Step-by-step explanation:
Since he bought a 18 gallon tank of gas with regular fuel for 55.08.
The station across the street sold regular fuel for 2.99 per gallon. A 18 gallon tank will cost:
= 18 × 2.99
= 53.82
The amount that could have been saved would be:
= 55.08 - 53.82
= 1.26
A pre-election survey showed that 3 out of every 5 citizens would vote in an election. At this rate, how many people would be expected to vote if there are 16,000 citizens in a city? 2,600 people
Answers
Answer:
9600 people would vote.
Step-by-step explanation:
3/5 = .6
16,000 * .6 = 9600
Can someone Help me with this ? :C and put in the Workings
Calculate the following by long or short division. Give your answers to TWO decimal places.
1.
[tex]456 \div 2[/tex]
2
[tex]538 \div 7[/tex]
Answers
Answer: 1. [tex]456\div2 =228[/tex] 2. [tex]538\div7=76.85[/tex]
Step-by-step explanation:
The given division problems :
[tex]1.\ 456\div2[/tex]
[tex]2.\ 538\div7[/tex]
By long division (see the attachment)
1. Divisor= 2
Dividend =456
Quotient = 228
Remainder =0
So, [tex]456\div2 =228[/tex]
2. Divisor= 7
Dividend = 538
Quotient =76.85
so, [tex]538\div7=76.85[/tex]
what is the solution to the equation below?
Answers
Find the missing lengths. Leave answer in simplest radical form.
Answers
b= 3(root 2)
make sure to write the radical over the 2. i attached a picture of what it should look like
Evaluate 1/2t + 3/8 when t = 1/4
Answers
Answer:
the answer is seven - eighths i think
Step-by-step explanation:
Answer
1/2
Evaluate: Enter a number for each variable.
1/2t+3/8
Evaluate for t=1/4
1/2 (1/4)+3/8
1/2 (1/4)+3/8
=1/2 or (Decimal: 0.5)
How many of the 100 bin A items can be recycled at a specialized center?
Answers
I hope this helped!