Are the ratios 2:1 and 18:9 equivalent
Answer:
Step-by-step explanation:
hello :
the ratios 2:1 and 18:9 are equivalent because :
2/1 = (2×9)/(1×9)= 18/9
Yes , the ratios 2 : 1 and 18 : 9 are equivalent
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the first proportion be A = 2 : 1
Let the second proportion be B = 18 : 9
Now , from the proportion formula
a: b::c : d = a/b = c/d
So , substituting the values in the equation , we get
2 : 1 :: 18 : 9
On simplifying the equation , we get
2 / 1 = 18 / 9
Now , the proportion is
2 = 2
Therefore , the equation satisfies and the ratios are equal
Hence , the ratios 2 : 1 and 18 : 9 are equivalent
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1. I have a tablespoon, but I need a teaspoon. What do I do?
2. I have a 2 cup measuring cup and need 1 1/4 cup mil and 1/2 cup of vegetable oil. How far do I fill it up if I’m measuring together?
I only need help with these two, my brain went completely blank while solving these.
Answer:
Step-by-step explanation:
1 tablespoon = 3 teaspoons
You need to fill the tablespoon a third full. Not accurate, but that's what you have to do.
:::::
1¼ + ½ = 1¾
you need to fill the 2 cup measuring cup ⅞ full to get 1¾ cups.
help?????????????????????????
Step-by-step explanation:
pythagoras theorem dictates that for right triangles, a squared plus b squaredequals c squared.
7*7+x*x=14*14
49+x*x=196
x*x=147
square root of 147, I believe
If ( square root of 128 - square root of 72) is divided by square root of 8, the result is?
Answer:
[tex] \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1[/tex]
HOPE IT HELPS! :)
6 -12=-6 - 12 = please help me
Answer:
-18
Step-by-step explanation:
6-12=-6-12=-18
A car travels for 4 hours at an average speed of 45 mph and then 6 hours at an average speed of 35 mph.
(a) Work out the total distance travelled.
(b) Work out the average speed for the entire journey.
Answer: (a) 390 miles im not sure for b
Step-by-step explanation:
Please help me only if you know :)
Answer:
I think the answer is D.
Step-by-step explanation:
Have a good day.
the sides of a rectangle are -5x+ 10 and x-4. Write an expression for its perimeter
Answer:
-8x+12
Step-by-step explanation:
the perimeter is equal to 2l+2w
so the perimeter would be 2(-5x+10)+2(x-4)
so we just have to use distributive property to simplify it
2x-5x=-10x 2x10=20 2xx=2x 2x-4=-8
now we have -10x+20+2x-8
the last step would be to combine like terms
-10x+2x=-8x
20-8=12
so the expression would be -8x+12
hope this helps :)
In math the "Base" is defined as
Did the vertical or horizontal asymptote change? If it didn’t change, why not?
Answer:
I think it didnt change
Step-by-step explanation:
Cause both areas from the line are the same and if it were to change the left would be diffrent from the right. So there i think it didnt change.
Please help, I will mark you brianliest!
How do the lengths of the sides compare in the triangle below?
Answer:
60. its an equalateral, they all add up to 180
Step-by-step explanation:
Got another easy question to do. Will give, Branliest.
Thanks,
:)
Answer: 360g
120 --> 10
x ---> 30
120*30=10*x
3600= 10*x
x= 3600/10
x= 360
Matthew needs 360g of flour
Answer:
360g flour
Step-by-step explanation:
10 pancakes need 120g of flour.
30 pancakes need x g of flour.
To find x, you first find the ratio between the pancakes and flour.
120g flour / 10 pancakes = 12 g flour needed per pancake
So if you have 30 pancakes,
12g of flour is needed per pancake * 30 pancakes
= 360g of flour is needed for 30 pancakes
151 241
12 12
102
101
35
Perimeter
?
Simplify your answer completely
9514 1404 393
Answer:
119 4/7
Step-by-step explanation:
The perimeter is the sum of side lengths.
10 1/7 + 12 2/7 + 15 3/14 + 24 1/14 + 12 2/7 + 10 1/7 + 35 3/7
= (10 + 12 + 15 + 24 + 12 + 10 + 35) + (1 + 2 + 2 + 1 + 3)/7 + (3 + 1)/14
= 118 + 9/7 + 4/14
= 118 + 1 2/7 + 2/7
= 119 4/7 . . . . perimeter of the figure
Let g(x) be the reflection across the x-axis of the function f(x) = 7x + 3. Identify the rule for g(x).
Answer:
(x,y) => (x, -y)
Step-by-step explanation:
[tex]y = 7x + 3[/tex]
[tex] - y = 7x + 3[/tex]
[tex]y = - 7x - 3[/tex]
so
[tex]g(x) = - 7x - 3[/tex]
Hence, [tex]g(x) = - 7x - 3[/tex].
What is the function?
Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.
Here given that,
Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].
So,
[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]
Hence, [tex]g(x) = - 7x - 3[/tex].
To know more about the function
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If P and S are rational numbers and R and Q are irrational numbers, which of these statements is true?
A The product of R and Q is always an irrational number.
B The product of P and S is always a rational number.
C The sum of R and Q is always an irrational number.
D The sum of P and Q is always a rational number.
Answer: B. The product of P and S is always a rational number.
Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.
He stated that the theoretical probability of rolling a 1 is greater than rolling any other number. Explain Sean’s error.
Answer:
Sean's error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes
Step-by-step explanation:
you have to study
Answer:
Sean's error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes
Step-by-step explanation:
2 inches = 5 ft find the actual length...pls help Asap
Answer:
if the drawing length is 5 inches, the actual length in feet would be 12.5 ft
Step-by-step explanation:
2 inches = 5 ft
1 inch = 2.5 ft
5*2.5=12.5 ft as final answer.
hope it helps
30 POINTS FOR CORRECT ANSWER!!! Please help ASAP!
Mark bought a plasma TV for $2,499 on the installment plan. He paid a down payment of $300 and agreed to pay $101.50 a month for the next 24 months. How much will Mark pay on finance charges?
Answer:
Step-by-step explanation:
$300 + 24×$101.50 = $2736
finance charges = $2736 - $2499 = $237
Mr. Brady asked his students how long it took them to complete their homework from the previous night. He presented the results in the line plot shown. How many minutes did the greatest number of students take to do their homework? How many combined hours did those particular students spend on homework explain.
Answer:
The question is lacking the accompanying line plot, I found a matching line plot online:
Answers:
a) The number of minutes te greatest number of students took to do their homework = 40 minutes
b) The number of combined hours the students spent on their homework [tex]= 5\frac{1}{3}\ hours[/tex]
Step-by-step explanation:
From the diagram, the greatest number of students ( 8 students) take 2/3 hours to do their homework. Converting this time to minutes:
1 hour = 60 minutes
∴ 2/3 hours = 60 × 2/3 = 120/3 = 40 minutes
∴ 40 minutes is the time the greatest number of students take to do their homework
b) combined hours those students did their homework is calculated as follows:
total time = (number of hours used by 1 student) × number of students
[tex]Total\ time = \frac{2}{3} \times 8 = \frac{16}{3}\\= 5\frac{1}{3} \ hours[/tex]
how to write 3,24 as a common fraction without using a calculator
Answer:
dont trust me on this but i think it is 3/8
Step-by-step explanation:
Please answer will give brainliest
Answer:
24 ft²
Step-by-step explanation:
AC = 10-(3+3)= 4
AB = 12- (3+3) = 6
AB×AC = 6×4 = 24 ft²
PLEASE HELP ME QUICK!!
hope this helps! GL!
Answer:
B po
Step-by-step explanation:
hope its help youwithmy answer
anyone please write an easy solution to solve this linear equation with brackets:
16-4(x+3)=2x
anyone pls explain i keep getting 7/2!!
Answer:
[tex] \large \boxed{x = \frac{2}{3} }[/tex]
Step-by-step explanation:
Goal
Solve the equation for x-term.Given
Equation[tex] \large{16 - 4(x + 3) = 2x}[/tex]
Step 1
Distribute/Expand 4 in the expression.[tex]16 - 4x - 12 = 2x[/tex]
Step 2
Isolate x and combine like terms.[tex]16 - 12 = 2x + 4x[/tex]
Step 3
Solve the equation for x-term[tex]4 = 6x \\ \frac{4}{6} = x \\ \frac{2}{3} = x[/tex]
Step 4
If you are not sure that the answer is correct, I suggest to check the answer by substituting the value of x in the equation.[tex]16 - 4x - 12 = 2x[/tex]
Substitute x = 2/3 in the equation.
[tex]16 - 4( \frac{2}{3} ) - 12 = 2 (\frac{2}{3} ) \\ 4 -4( \frac{2}{3} ) = 2( \frac{2}{3} )[/tex]
Evaluate
[tex]4 - \frac{8}{3} = \frac{4}{3} [/tex]
Move -8/3 to add with 4/3.
[tex]4 = \frac{4}{3} + \frac{8}{3} \\ 4 = \frac{12}{3} \\ 4 = 4[/tex]
The equation is true for x = 2/3. Hence, the solution is x = 2/3.
Hope this helps! Any questions about the answer can be asked in comments.
~ Vectør ~
help :(( if the point (-3,-4) lies on a graph of the equation 3y=ax+6, then value of a
Answer:
The value of [tex]a[/tex] is 6.
Step-by-step explanation:
Let the line be represented by [tex]3\cdot y = a\cdot x + 6[/tex], where [tex]x[/tex], [tex]y[/tex] are the independent and dependent variable, respectively. The explicit form of the formula is:
[tex]y = \frac{a}{3}\cdot x +2[/tex] (1)
To know the value of [tex]a[/tex], ,we need the values of [tex]x[/tex] and [tex]y[/tex] and solve the resulting expression: [tex](x,y) = (-3,-4)[/tex]
[tex]-4 = \frac{a}{3} \cdot (-3)+2[/tex]
[tex]-4 = -a + 2[/tex]
[tex]a = 6[/tex]
The value of [tex]a[/tex] is 6.
1. ∠XVR =
2. ∠RVS =
3. ∠WVS =
4. ∠RST =
5. ∠RSV =
6. ∠VSU =
7. ∠UST =
8. ∠TUS =
Answer/Step-by-step explanation:
1. ∠XVR = 180 - <XVW (angle on a straight line)
∠XVR = 180 - 55°
∠XVR = 125°
2. ∠RVS = <XVW (Vertical angles are congruent)
∠RVS = 55°
3. ∠WVS = ∠XVR (vertical angles are congruent)
∠WVS = 125°
4. ∠RST = <R + <RVS (exterior angle theorem)
<RST = 55 + 55
<RST = 110°
5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)
∠RSV = 180 - (55 + 55)
∠RSV = 70°
6. ∠VSU = <RST (vertical angles are congruent)
<VSU = 70°
7. ∠UST = <RSV (vertical angles)
<UST = 70°
8. ∠TUS = 180 - (<UST + <T) (sum of triangle)
<TUS = 180 - (70 + 71)
<TUS = 39°
The last parts says “with the given slope”
Felicia picks 1/2 bushel of apples in 2/5 hour how many bushels of apples does Felicia pick in one hour at this rate written as a decimal
ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).
Answer:
82 cm
Step-by-step explanation:
In rectangles diagonals are equal and bisect each other
AO = BO
5x + 1 = 4x + 9
Subtract 1 from both sides
5x = 4x + 9 -1
5x = 4x + 8
Subtract 4x from both the sides
5x - 4x = 8
x = 8
AO = 5x + 1
= 5*8 +1
= 40 + 1
AO= 41 cm
Diagonal = 2*41 = 82 cm
Which of these graphs is the solution set for the equation y = -x?
helppppppp me plzzzzzzzzzz WILL MATK BRAILIST
Answer:
-2
Step-by-step explanation:
3(-3)^2+5(-3)-14
27-15-14=-2