To determine which ratio would result in a valid proportion when set equal to StartFraction 7 over 3 EndFraction, we need to find the ratio that is equivalent to StartFraction 7 over 3 EndFraction.
To do this, we can cross-multiply. When we cross-multiply StartFraction 7 over 3 EndFraction and another ratio, the product of the numerator of StartFraction 7 over 3 EndFraction and the denominator of the other ratio should be equal to the product of the denominator of StartFraction 7 over 3 EndFraction and the numerator of the other ratio.
Let's check each option:
1. StartFraction 9 over 49 EndFraction:
7 x 49 = 343
3 x 9 = 27
These values are not equal, so it is not a valid proportion.
2. StartFraction 18 over 42 EndFraction:
7 x 42 = 294
3 x 18 = 54
These values are not equal, so it is not a valid proportion.
3. StartFraction 42 over 18 EndFraction:
7 x 18 = 126
3 x 42 = 126
These values are equal, so it is a valid proportion.
4. StartFraction 49 over 9 EndFraction:
7 x 9 = 63
3 x 49 = 147
These values are not equal, so it is not a valid proportion.
Therefore, the ratio that results in a valid proportion when set equal to StartFraction 7 over 3 EndFraction is StartFraction 42 over 18 EndFraction.
Hope It Helps :)
use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3
Answer:
Approximate solution is 541.
Step-by-step explanation:
y' = 2xy, Δx = 0.4.
Make a table:
x y y' y' Δx + y
1 2 4 4*0.4 + 2 = 3.6 <---this is the new y value.
1.4 3.6 10.08 7.632
1.8 7.632 27.48 18.624
2.2 18.624 81.95 51.70
2.6 51.70 268.85 159.24
3 159.24 955.44 541.4
A MANUFACTURER DETERMINES THAT THE COST OF MAKING A COMPUTER COMPONENT IS $4.141414. I NEED IT IN A FRACTION AS A MIXED NUMBER PLEASE ASAP!!!!!
Answer:
[tex]4 \frac{14}{99}[/tex]
Step-by-step explanation:
First off - chill with the caps dude.
Let's convert this to a mixed number.
We know that any one digit number divided by 9 will get us a repeating decimal of the number we divided by 9. For example, [tex]5 \div 9[/tex] will be [tex]0.\overline{55}[/tex].
The same goes for two digit numbers when they are over 99. [tex]32\div 99 = 0.\overline{32}[/tex]
So this means that to make [tex]0.\overline{14}[/tex] a fraction, we put 14 over 99.
[tex]\frac{14}{99}[/tex]
4 as a fraction is just [tex]\frac{4}{1}[/tex] but since they want it in a mixed number, we can just put a 4 in the beginning of the fraction.
So we get [tex]4 \frac{14}{99}[/tex].
Hope this helped!
After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave the dogs t more treats. All together that day, Luca's dog got 10 dog treats. Write an equation to describe this solution. How many dog treats did Luca's dad give the dogs?
Answer:
Luca's Dad gave Luca's Dog 4 treats
Step-by-step explanation:
Equation:
6 + x = 10
Step 1:
x = 10 - 6
Answer:
x = 4
Hope This Helps :)
a) through (7, 1) and perpendicular to y=-x+ 3
Step-by-step explanation:
Two lines that are perpendicular to each other has -1 as the product of thir gradient.
Since the gradient of the line y = 3 - x is -1, the gradient of the other line must be 1.
So y = x + c.
When x = 7, y = 1. 1 = 7 + c, c = -6.
Hence the equation of the line is y = x - 6.
find the midpoint (-3,0), (8,-10)
Answer:
Let the midpoint be M(x,y)
x=(-3+8)/2
x=5/2=2.5
y=(0-10)/2
y= -10/2= -5
M(2.5, -5)
A small town's raffle has 85 entries and 3 gift baskets that three different people could win. What is the probability of winning a gift basket if you have 1 of the entries? [1 point]
Answer: 3 / 85
Step-by-step explanation:
Given the following :
Number of gift basket = 3
Nunber of entries = 85
Probability of winning a gift basket if you have one of the entries :
With one entry, one has a chance of winning one of 3 gift baskets
Hence, the required outcome of one entry = 3
Total possible outcomes = number of entries = 85
P(winning a gift basket with one entry) :
Required outcome / Total possible outcomes
= 3 / 85
Also, it could be calculated thus ;
Probability of one entry from a total of 85;
= 1/ 85.
And one entry has a Chance of winning one of 3 different gift baskets
Hence (1/85 × 3) = 3/85
Answer:
Answer is 3/85.
Step-by-step explanation:
There is no need for one, periodt.
Which is not part of the line segment diagram below? Pleaseee Helpp
Answer:
B....…....…..…..…..……..…..…..…the answer is B
Step-by-step explanation:
On average, water flows over a particular water fall at a rate of 2.05 x 105 cubic feet per second. One cubic foot of water weighs 62.4 lb. Calculate the rate of water flow in tons of water per day. (1 ton = 2200 lb)
Answer:
5.024 × 10^8 tons /day
Step-by-step explanation:
This question has to deal with conversion
We are told in the question that:
On average, water flows over a particular water fall at a rate of 2.05 x 10^5 cubic feet per second.
Water flow rate = 2.05 × 10^5 ft³/s
From the question,
One cubic foot of water weighs 62.4 lb.
1 ft³ = 62.4 lb
1 ton = 2200 lb
We are to calculate the flow rate in tons per day
Hence,
1 ft³ = 62.4 lb
2.05 × 10^5 ft³ =
Cross Multiply
2.05 × 10^5 × 62.4
= 12792000lb
Hence the water flow rate = 12792000lb/s
From the question,
2200 lb = 1 ton
12792000 Ib =
Cross Multiply
12792000lb × 1 ton/2200 lb
= 5814.5454545 tons
Hence the water flow rate = 5814.5454545 tons/second
We want the flow rate to be in tons/day
1 ton / second = 86400 tons / day
5814.5454545 tons/second = x tons/ day
Cross Multiply
x = 5814.5454545 tons/second × 86400 tons /day/ 1 ton / second
= 502376727.27 tons/day
= 5.0237672727 × 10^8 tons/day
Approximately ≈ 5.024 × 10^8 tons /day
Therefore, the rate of water flow in tons of water per day is 5.024 × 10^8 tons of water /day
there are 5280 feet in a mile. what part of a mile, in decimal form, will you drive until you reach the exit? pls someone help
Answer:
12
Step-by-step explanation:
you have to add everything
14a²b
7a²b
=
Simplify
Step-by-step explanation:
if14a^2b/7a^2b answer is 2
and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b
When you add a positive number and a negative number, how can you tell whether the sum will be positive or negative? A. The sum will always be negative. B. The sum will always be positive. C. The sum will have a sign of the addend with the lesser absolute value. D. The sum will have the sign of the addend with the greater absolute value.
Answer:
Its C
Step-by-step explanation:
The sign of the resultant value will depend upon added values and the sum will have the sign of the addend with the lesser absolute value so the correct option will be (C).
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In other words, the summation is the addition or subtraction of any two or more terms. As a result, we have a new result that may be large or little, depending on the quantity.
In given question
Let's suppose we add +5 + (-7) = -2 so here the sign is negative because the 5 is greater than the -7 so it is clear by this example that the sign of the addend with the lesser absolute value.
For more information about summation
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The letter B represents a nonzero constant. Solve bx= -7 for x
Need help ASAP!!!!
Answer:
X=-7/B but I'm not sure if more steps are required for full simplification.
Someone help, it’s 3:00 am and I gotta get this done and I’m so tired just someone help me, please.
Answer:
1) 31.1
2) 2.5
3) 1.6
4) 0.9
5) 5120
6) 1.7
7) 972
8) 0.02
Step-by-step explanation:
a + b = c
In which scenario will c always have a positive value?
(20 Points)
a is positive, and b is negative.
a and b are both positive.
a is negative, and b is positive.
a and b are both negative.
Answer:
When a and b are both positive c will always be positive
acute angle DOG with a measure of 45
Step-by-step explanation:
angle of 45° is drawn.
I hope you got it.
what are the three integers all less than 25 whose range is 10 and mean is 13
Let x be the first integer , y be the second integer , and z be the third integer
x < y < z < 25
We know that
Median=13
Median=(x+y+z)/3
13=(x+y+z)/3
x+y+z=39------> equation 1
Range=10
The range is the difference between the largest number within the set and the smallest number in the set
So range=z-x
z-x=10------> z=x+10-----> equation 2
to find the solution we will assume different values of x (See the attached table)
terms
x < y < z < 25
z=x+10
y=39-z-x
The solution can be
7,15,17
8,13,18
9,11,19
hope it helps!
2. Find the fraction which is exactly halfway between 1/7 and 4/7
Answer:
That would be the fraction exactly between 2/7 and 3/7
which would be 2.5 / 7 or 5 / 14
Step-by-step explanation:
Which binomials are factors of x^2 + 4x – 12?
Select the two correct answers.
x - 3
x - 6
x - 4
x - 2
x + 3
X + 6
x + 2
x + 4
Answer:
x + 6 and x - 2
Step-by-step explanation:
Given
x² + 4x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)
The factors are + 6 and - 2, since
6 × - 2 = - 12 and 6 - 2 = + 4 , thus
x² + 4x - 12 = (x + 6)(x - 2) ← in factored form
Inequality: 3-4x>3x-18 =x<3 does x=0 satisfy the inequality? Explain ur answer
Answer:
30
Step-by-step explanation:
william is using a 1.75-liter container to fill a 14-liter container of water. about how many times will he need to fill the smaller container?
please question?!!!
Answer:
x=8
Step-by-step explanation:
It is given that, William is using a 1.75-liter container to fill a 14-liter container of water. We need to find how many times will he need to fill the smaller container?
Let x times he fill the smaller container. It can be calculated by dividing the larger value by the smaller value.
[tex]x=\dfrac{14}{1.75}\\\\x=8[/tex]
So, 8 times he needs to fill the smaller container.
how to solve 4+y=9.5
Answer:
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ x \;=\; {5.5} $ } }\\[/tex]
Step-by-step explanation:
[tex]4+y=9.5[/tex]
Let's simplify this equation.
To solve this equation, we must first subtract 4 from both sides of the equation.
[tex]y+4-4=9.5-4[/tex]
Let's see what we got.
[tex]y=5.5[/tex]
Now you got your answer!
Hope this helps!
The value of y is 5.5 .
Given,
4 + y = 9.5
Equation : 4 + y = 9.5
Let's simplify this equation
To solve this equation, we must first subtract 4 from both sides of the equation.
Resultant equation :
4 - 4 + y = 9.5 - 4
0 +y = 5.5
Thus the value of variable y = 5.5 .
Know more about algebra,
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In this expression Marianna claims that 2X And negative X are not like terms because -x doesn't have a coefficient.Is she correct?Explain your reasoning
Answer:
She is incorrect
Step-by-step explanation:
Given:
2x and -x
Required
Like term or not?
Like terms are determined by the term itself and not by their coefficients;
Take for instance;
[tex]x^2[/tex] and [tex]2x[/tex] are not like terms because a term has square while the other doesn't
Another instance;
[tex]-3x[/tex] and [tex]2x[/tex] are like terms because they both have the presence of just 1 x
In Marianna's case;
2x and -x are like terms;
Reason being that: -x can be rewritten as -1x; giving it a coefficient of -1
Continue each pattern with the next two numbers.
1.7,14,8,16,10,20,14,?
Solve.
(-k) + k =
A. 0
B. k
C. -2k
D. 2k
Answer:
the correct answer is 0
Step-by-step explanation:
mark as me brainlist
Answer:
Answer is A. 0
Step-by-step explanation:
I hope you
Please help this is just an assignment a few questions.
Answer:
A = (1/2)Cr
Step-by-step explanation:
You're supposed to observe that the circle area decomposes into what is approximately* a parallelogram with height equal to the circle radius and base equal to half the circumference. The area is then ...
A = bh
A = (1/2)Cr
If you fill in the formula for C, you find this matches the formula for the area of a circle:
A = (1/2)(2πr)(r) = πr²
_____
* In the limit, as the number of sectors approaches infinity, this is exactly a parallelogram.
17. Find the mistake below.
Step 1:
9-5(2x + 4 - 3) = -28
Step 2:
9 - 5(2x + 1) = -28
Step 3:
4(2x + 1) = -28
Step 4:
8x + 4 = -28
Step 5:
8x = -32
Step 6:
x = -4
When did the mistake first appear?
A. Going from Step 1 to Step 2
B. Going from Step 2 to Step 3
Ο Ο Ο
C. Going from Step 3 to Step 4
D. Going from Step 4 to Step 5
Answer:
Step
Statement
1
2
3x + 7 = 15
x + 7 - 7 = 15
ža
3
= 15
4.
3
= 3.15
5
r = 45
Which statement is true?
A. Jake made a mistake in step 2.
B.
Jake made a mistake in step 4.
C.
Jake made a mistake in step 5.
OD Jake solved the equation correctly.
Answer:
If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?
Step-by-step explanation: Step
Statement
1
2
3x + 7 = 15
x + 7 - 7 = 15
ža
3
= 15
4.
3
= 3.15
5
r = 45
Which statement is true?
A. Jake made a mistake in step 2.
B.
Jake made a mistake in step 4.
C.
Jake made a mistake in step 5.
OD Jake solved the equation correctly.
Answer:
If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?
Step-by-step explanation:
Step-by-step explanation:
10 rational numbers between -2 and 1/8
Answer:
there should not be negative number in rational number
i need help with biconditnoal statement for the conditional statement
if a figure extends in only one direction, then it is a ray
I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i need to rotate it to return to the start position.
Answer:
315 degrees
Step-by-step explanation:
360 degrees make a full circle, and since you've already turned 45 degrees, you will need 315 degrees more.
Answer:
Hey!
To turn it all the way to its starting position is the same as turning it 360 DEGREES...so your answer will be 315 DEGREES MORE!
Step-by-step explanation:
PROOF : 315 + 45 = 360 OR 360 - 45 = 315
HOPE THIS HELPS!
Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 minutes to reach mile marker 3. When she reaches mile marker 6, she notes that 8 minutes total have passed since mile marker 0. What is the average speed of the car in miles per minute?
Answer:
4 minutes = mile mark 3
8 minutes = mile mark 6
the constant of proportionality is both 3/4 so the answer is 3/4 miles per minute