Given that a/b=3/5 and b/c=4/5
Find a:b:c giving your answer in its simplest form
Answer:
12 : 20 : 25
Step-by-step explanation:
Express the ratios in terms of a
[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
3b = 5a ( divide both sides by 3 )
b = [tex]\frac{5}{3}[/tex] a
[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4c = 5b ( divide both sides by 4 )
c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a
Then
a : b : c
= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )
= 12a : 20a : 25a ( divide each part by a )
= 12 : 20 : 25
please solve quickly
Step-by-step explanation:
first you need to find the height
V = L×W×H
the volume your given is 880mm³
length is 22mm
width is 8mm
height is unknown
furthermore
V=L×W×H
880mm³= 22mm×8mm×H
880mm³= 176mm²×H
880mm³/176mm²=176mm²/176mm²×H
5mm=H
H=5mm
Surface Area= S.Atherefore S.A=2(L×W+ W×H +L×H)
=2(22mm×8mm+8mm×5mm+22mm×5mm)
=2(176mm²+40mm²+ 110mm²)
=352mm²+80mm²+220mm²
=652mm²
Can someone help me please
Answer:
+29 C
Step-by-step explanation:
If we find the distance between both numbers on number line and we put -2 on the negative side and +27 on the positive side we can find the distance which is 29 and this means In Milan it was warmer by: +29C
Help!!
What is the value of -2 xy if x = -1 and y = 6?
-12
12
8
26
Answer:
12
Step-by-step explanation:
-2xy
Let x = -1 and y =6
-2 ( -1) (6)
Multiply
2 (6)
12
3/10+21/100 as a fraction
Answer:
51/100Step-by-step explanation:
3/10 + 21/100=> 30/100 + 21/100=> 51/100Conclusion:
Therefore, 3/10 + 21/100 equals 51/100 as a fraction.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
0.51000 which as smaller is 0.51
Step-by-step explanation:
simplify 21/ 100 then add 3/10 + 21/100 then simplify 3/10 then you would do 3×10+21/100 which equals 51/100
which is a line of symmetry
Answer:
is there a pic?
Step-by-step explanation:
we are able to see
Help guys plzzz asapppp
What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10
it's C 0.03
0.03= 3%
0.30= 30%
3.00= 300%
Any polygon with two pairs of parallel opposite sides is a parallelogram
Answer:
It is false that any polygon with two pairs of parallel opposite sides is a parallelogram. Let's understand the answer in detail. Explanation: ... There can be other polygons that have more than 4 sides but have only two pairs of parallel sides, which can't be called a parallelogram.
Step-by-step explanation:false.
Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.
please....help...
Answer:
Step-by-step explanation:
Degree is defined as the highest power of the polynomial function.
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Consider a polynomial function
The highest power of the polynomial function is 4.
Therefore, the degree of the polynomial function is 4.
Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.
The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.
Is the function f(x) = 5 - 3x even, odd, or neither? no links plz
Answer:The function is odd
Step-by-step explanation:
Answer:
x= 2 so it is even.
Step-by-step explanation:
Sarah use a gift card to buy for $47 worth of food she has $18 left on her gift card write an equation to represent a situation
Answer: 1.50
Step-by-step explanation:
The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.
Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.
The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.
John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent this situation.
A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.
Write an equation of the line that passes through (0, 6) and is parallel to y=5x-3
Y=
Answer:The answer should be y = 5x + 6
Step-by-step explanation:
Topic 1: Translate
The sum of twice a number and 9 is -25."
Answer:
2n + 9 = - 25
Step-by-step explanation:
let the number be n then twice the number is 2n
The sum of 2n and 9 is 2n + 9
the result is - 25 , that is
2n + 9 = - 25
Answer:
x=-17Step-by-step explanation:
The sum of twice a number and 9 is -25."
2x + 9 = -25
2x = -34
x = -17
-----------------------------------------
check
2 * (-17) + 9 = -25
-25 = -25
the answer is good
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answer:
y= -10x-24
Step-by-step explanation:
To write the linear equation, first find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let's pick the first two x and y values as our coordinate points.
(1, -34) (2, -44)
[tex]\frac{-44-(-34)}{2-1} =-10[/tex]
The slope is -10.
Use the point-slope formula to write the equation.
y-y1= m(x-x1)
y-(-34)= -10(x-1)
y+34= -10x+10
y= -10x-24
24a - 12b HELP Me PLZ
6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?
Answer:
3:5
Step-by-step explanation:
s:m = 2:3
m:i = 9:10
convert m to same number so they are comparable
s:m = 6:9 (multiple so the ratio is still the same as 2:3)
m:i = 9:10 (the same thing as before)
s:i = 6:10
s:i = 3:5 (simplify)
Corinne tends to be a spender. Luckily, her employer offers retirement saving options for the workers. Which of the following is the best option for Corinne to start saving for retirement
now?
A. A money market account
B. A simple savings account
C. A prepaid plan
D. A matching benefit
Is it a expression 3x - 7
Answer:
It’s an expression.
Step-by-step explanation:
An expression is technically an equation but without the answer.
Answer:
yes
Step-by-step explanation:
The difference between an equation and an expression is that an equation as an equals sign. An equation shows that 2 expressions are equal to each other.
Expression:
[tex]3x-7[/tex]
Equation:
[tex]3x-7=5y[/tex]
A circle has a radius of 6. 87 feet. What is the circumference of this circle? Use 3. 14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box.
The circumference of this circle to the nearest tenth is equal to 43.1 feet.
Given the following data:
Radius = 6.87 feetPie = 3.14To determine the circumference of this circle to the nearest tenth:
Mathematically, the circumference of a circle is given by the formula:
[tex]C = 2\pi r[/tex]
Where:
C is the circumference of a circle.r is the radius of a circle.Substituting the given parameters into the formula, we have;
[tex]C = 2 \times 3.14 \times 6.87[/tex]
Circumference = 43.1 feet.
Read more: https://brainly.com/question/24568309
Find g (x), where g(x) is the reflection across the x-axis of f(x) = 7 [x+2]-6
What is the value of x
Answer:
x = 5
Step-by-step explanation:
Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is
[tex]\frac{AB}{DC}[/tex] = [tex]\frac{EA}{ED}[/tex] , substitute values
[tex]\frac{10}{4}[/tex] = [tex]\frac{2x+10}{x+3}[/tex] ( cross- multiply )
10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides
10x + 30 = 8x + 40 ( subtract 8x from both sides )
2x + 30 = 40 ( subtract 30 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
How many petrol tanks of capacity 1.2 * 10 ^ 4 litres each are required to empty 4.8 * 10 ^ 5 litres of petrol?
Answer:
40
Step-by-step explanation:
The number of tanks required is ...
(4.8·10^5 L)/(1.2·10^4 L/tank) = (4.8/1.2)·10^(5-4) tanks
= 4·10 tanks = 40 tanks
It took a cheetah 45 minutes to run from Jungle A to Jungle B.
Its average speed was 80 km/h. Find the distance between
the two jungles.
so you need to find 3/4 of 80 (60 Km/h)
and since 45 minutes is 3/4 of an hour
your answer is (60 Km/h)
Answer:
The distance between the two jungles is 60 km
Step-by-step explanation:
cheetah is going 80km/hr or (80km/60min)
using this 45min is 3/4 of 60 min
and 3/4 of 80km is 60km
So basically
[tex]\frac{80km}{1hr} = \frac{80km}{60min} * \frac{0.75}{0.75} = \frac{60km}{45min}[/tex]
What is the solution to y=12
Answer:
y=12
Step-by-step explanation:
This equation cannot be simplified further.
Hope this helped! :)
i need help with this!!
Answer:
[tex]x<-4[/tex]
Step-by-step explanation:
[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]
Apply the fraction rule
[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]
Can someone pls help me with this question?
Use the image below
Find the slope of the line in simplest terms.
Options:
1. 8
2. 4
3. 2
4. 1/2
Answer:
I think your anwser would be 4 im not sure
Step-by-step explanation:
Which bottle of water costs more per ounce: a 12
ounce bottle for $1.25 or a 16 ounce bottle for
$1.50?
I really need help with this!
Answer:
the second bottle
Step-by-step explanation:
To get the amount it costs per ounce, divide the amount of money by the number of ounces.
A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.
therefore, the 16 ounce bottle is cheaper per ounce
Need help with how to write the standard form of a slope in general.
Please explain, thank you!
Answer:
Hey there! Hope this helps a little!
Step-by-step explanation:
So to begin with the standard slope form equation is Ax+By=C
Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12
Now you will have -2x/3+12/3
Solution is y=-2/3x+4 please let me know if you need further help!
Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
Answer:
1221.2 factor increase
Step-by-step explanation:
It is difficult interpreting the numbers. I'll assume:
2.25x10^2 and 2.75x10^5
----
225
275000
The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs
There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.