Answers
Four times the smaller number is 60 less than twice the larger number.
4(15 – x) = 2x - 60
120 = 6x
Larger, x = 20,
Smaller was - 5.
Answer:
larger number is 20
Step-by-step explanation:
Let the larger number be x
And smaller number be y.
Then,
x + y = 15 {Sum of two numbers is 15}
And
2x - 4y = 60 (four times the smaller number is 60 less than the twice of larger number )
So we get two equations as :
x + y = 15
2x - 4y = 60
On solving above two equations we get:
Plug x = 15 - y in second equation
we get, 2 (15 - y) - 4y = 60
or 30 - 2y - 4y = 60
or - 6y = 60 - 30
or y = -30/6 = -5
So we get y = -5 and x = 15 - (-5) = 20
Hence the larger number is 20
Related Questions
Charles has $20 to spend at the bakery he wants to buy six cupcakes and a pie. The pie costs
$12.50.what is the maximum price he can pay for each of the cupcakes?
Answers
4. Part A. Find the value of x.
A) x=20
B) x=35
C) x=70
D) x=110
Part B. Find the measure of the unlabeled angle in the previous question.
A) 40°
B) 70°
C) 110°
D) 140°
Answers
As the angle y° equals to angle 2x°, y=2x.
And the sum of the angle (x+y+5°)and the angle 2x° is 180°.Therefore,
x+y+5°+2x =180°
x+2x+5°+2x=180°
5x+5° =180°
5x =175°
x =35°
Part B: C)110°
As I said, y =2x
And the unlabled angle eaquals to the angle(x+y+5°).
Therefore,
the unabled angle= x+y+5°
=x+2x+5°
=3x+5°
=3(35°)+5°
=110°
Hey there!!
The measure of the unlabeled angle is ( x + y - 5 ) due to the vertically opposite angles.
We also know 2x = y due to vertically opposite angles
If we add up all the angles, we get 360 degrees.
Hence,
y + 2x + x + y - 5 + x + y - 5 = 360
4x + 3y - 10 = 360
Add 10 on both sides
4x + 3y = 370
We know 2x = y
Hence,
4x + 3y = 370 can be broken down as ,
4x + y + y + y = 370
4x + 2x + 2x + 2x = 370
10x = 370
x = 370 / 10
x = 37
The unknown angle = x + y - 5
x + 2x - 5
3x - 5
3 ( 37 ) - 5
111 - 5
106
Hence, the unknown angle is 106°
Hope my answer helps!!
Maria's dog weighs 6 times as uch as her rabbit. Together the pets weight 56 pounds. What does Marias dog weigh? How did you figure this out?
Answers
You will have to multiply 56x6=n find out n and that is your answer
The dog weighs 48 pounds
Let r represent the weight of the rabbit
Weight of the dog = 6r
Sum of their weights = 56
6r + r = 56
7r = 56
r = 56/7
r = 8 pounds
The rabbit weighs 8 pounds
The dog weighs : 6 x 8 = 48 pounds
A similar question was solved here: https://brainly.com/question/150053?referrer=searchResults
Who is correct and why?
Answers
5 x 1.59=7.50
A girl's feet are negative 4 over 6 yards from the surface of a pool. A boy's feet are negative 1 over 6 yards from the surface of the pool. Determine whose feet are closer to the surface.
The girl's feet are closer to the surface of the pool because negative 4 over 6 > negative 1 over 6.
The boy's feet are closer to the surface of the pool because negative 4 over 6 < negative 1 over 6.
The girl's feet are closer to the surface of the pool because negative 4 over 6 < negative 1 over 6.
The boy's feet are closer to the surface of the pool because negative 4 over 6 > negative 1 over 6.
Answers
See diagram
EXPLANATION
Let us choose zero to be our reference point. That is zero is representing the surface of the pool.
Since
[tex]-\frac{1}{6}>-\frac{4}{6}[/tex]
Or
[tex]-\frac{4}{6}<-\frac{1}{6}[/tex]
[tex]-\frac{1}{6}[/tex]
will be closer to zero.
We were told that
[tex]-\frac{1}{6}[/tex]
is where the boy's feet are. Therefore his feet are closer to the surface of the pool than the girl's feet.
So the correct answer is
the second option
Given the distances of -4/6 yards (for the girl's feet) and -1/6 yards (for the boy's feet) from the pool's surface, the boy's feet are closer to the pool's surface because -1/6 is greater than -4/6 in the negative number system.
Explanation:In this problem, we are comparing the positions of the girl's feet and the boy's feet relative to the surface of the pool. We are given that the girl's feet are at a distance of negative 4 over 6 yards from the pool's surface and the boy's feet are at a distance of negative 1 over 6 yards from the pool's surface. The negative numbers here indicate that the feet are below the surface of the pool.
We know that a number closer to zero has a higher value in the negative number system. Therefore, -1/6 is greater than -4/6. So, the boy's feet are closer to the surface of the pool because negative 4 over 6 (the girl's feet) is less than negative 1 over 6 (the boy's feet).
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Four car dealers are comparing new car sales. The first dealer sold 18 of the 98 cars on his lot. The second dealer sold 32 of the 120 cars on his lot. The third dealer sold 15 of the 60 cars on his lot, and the fourth dealer sold 46 of the 200 cars on his lot. What is the largest fraction of cars sold on the four lots? A. 23⁄100 B. 1⁄4 C. 9⁄49 D. 4⁄15
Answers
the answer is A. 23/100
Is in,general, how tall are giraffes? A statistical question or non statistical question
Answers
the height of (my favorite animal if i might add) an adult male giraffe can grow up to 16-20 feet while the females grow up to 15 feet
Answer:
Statistical question.
Step-by-step explanation:
Given question
Is in, how tall are giraffes?
Statistical question is that type of question which have more than one possible answers. The answer of statistical question is the collection of various points of data. The answer of statistical question depends on variety and situations. The answer of statistical question may be range . Answer of statistical question are more than one.
Non statistical question is that type of question which have only one answer.
For example, the value of 2+2
Answer: 2+2=4
It has only one answer .Therefore , it is non statistical question.
Given question is a statistical question because the height of all giraffes are not same . Height of some giraffes are same and some giraffes have same height. The height of female giraffes are smaller than the height of male giraffes.
The range of height of male giraffes lies between 16 feet to 20 feet.
if theres a no solution in my equation of:
5x-4=4x+30+x then what do I write ?
Answers
Remark
There's no ONE solution to this equation. But x can be anything or the solution could be the empty set. Try writing no solution. If that doesn't work, try empty set [which won't work if you don't know what a set is]. If that doesn't work, write your instructor or if you have notes, see what the notes say.
Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. The candy has 3 pounds of milk chocolate.
Part A: Write an equation using one variable that can be used to find the total number of pounds of dark chocolate and milk chocolate in the candy. Define the variable used in the equation. Hint: 0.25x represents the number of pounds of dark chocolate in the candy. (5 points)
Part B: How many pounds of dark chocolate are present in the candy?
Answers
Part A:
If 25% is dark chocolate and the rest is milk chocolate then, dark + milk = all
25% + milk chocolate= 100%
Subtract 25% from both sides and 100 minus 25 is 75 so, milk chocolate is 75% of all the chocolate.
Now, if there is 3 pounds of milk chocolate then 3 pounds= 75%.
You would divide by 3 so, 75 divided by 3 is 25.
1 pound or lb= 25% which us the amount of dark chocolate that there is.
Now, we know that there milk chocolate is 75% and dark chocolate is 25% of all the chocolate.
M= pounds of milk chocolate
D= dark chocolate
Equation: m divided by d or m/d= 75 divided by 25 or 75/25 or m/d=3 and m=3
3 divided by d or 3/d=3
3=3d
D=1
Part B:
There is 1 pound of dark chocolate in the candy.
Hope this helps! :)
Final answer:
The equation to find the total pounds of dark chocolate and milk chocolate in the candy is 0.25x + 3 = x. There are 4 pounds of dark chocolate present in the candy.
Explanation:
Part A: Let's define the variable x as the total number of pounds of dark chocolate and milk chocolate in the candy. Since the candy contains 25% dark chocolate, we can represent the pounds of dark chocolate as 0.25x. The candy also has 3 pounds of milk chocolate, so we can represent the pounds of milk chocolate as 3. Therefore, the equation is: 0.25x + 3 = x.
Part B: To find the pounds of dark chocolate in the candy, we can solve the equation from Part A. First, subtract 0.25x from both sides: 3 = 0.75x. Then, divide both sides by 0.75 to solve for x: x = 4. Therefore, there are 4 pounds of dark chocolate present in the candy.
Eighteen oranges are packaged in 3 containers. How many oranges are packaged in 7 containers?
Answers
18/3 = 6
Each container has 6 oranges
6 *7 = 42
Answer: 42 oranges
This is because you ad to divide 18 by 3 which is 6 then you would multiply 7 by 6.
What are the 6 trigonometry functions
Answers
Sine, Cosine, Tangent, Cosecant (opposite of Sine), Secant (opposite of Cosine), and Cotangent (opposite of Tangent)
Tao is making a 7 feet high door. If the height is 1 more than twice its width, what it its width?
Answers
15 ft because double 7 and add 1 more and what dose it make? 15!
-ii 6th grade
The order pair (5,6) is a solution of a direct variation equation.
Answers
The direct variation equation that is satisfied by this ordered pair is y = 6/5x
In order to find this, we start with the base equation for direct variation. We then plug in and solve for k.
y = kx
6 = k5
6/5 = k
And now we can use that to model all future direct variations with this.
y = 6/5x
0.5-3(0.5+1) with a power of 2
Answers
Answer: -6.25
Step-by-step explanation: 0.5 -3(0.5+1)^2
=0.5 -3(1.5)^2
= 0.5 -3(2.25)
= 0.5-6.75
= -6.25
eric studied for 17.5 hours for a period of 4.5 days. On the average, how much did he study each day?
Answers
Hope this helps!
how would you use a number line to round 16800 to the nearest ten thousand?
Answers
Well you'd see if it's closer to 10000 or 20000.
In this case it would round to 20000.
the graph of the equation below is a circle. what is the length of the radius of the cirlce? (x+5)2+(y+7)2=21^2
Answers
the radii would equal 7.5
Answer:
21
Step-by-step explanation:
At the end of the equation the 21 is the radius and when squared it becomes the diameter if i am correct
Izzy is Iago's little sister. She is counting her coins. Izzy finds that she has three more quarters ($0.25) than she has dimes ($0.10), twice as many nickels ($0.05) as she has dimes, and four times as many pennies ($0.01) as she has dimes. With a total of $7.61 in coins, how many coins of each type does Izzy have?
Answers
Lzzy has three more quarters ($0.25) than she has dimes ($0.10), twice as many nickels ($0.05) as she has dimes, and four times as many pennies ($0.01) as she has dimes.
Let us assume number of dimes = x.
"Three more quarters than dimes" would be = (x+3) quarters .
"Twice as many nickels as dimes " would be = (2x) nickels.
"Four times as many pennies as dimes" would be =(4x) pennies.
Total value of all coins = $7.61.
We can setup an equation now.
0.10*x + 0.25(x+3) + 0.05(2x)+0.01(4x)=7.61.
Let us simplify the equation.
0.10x + 0.25x + 0.75 + 0.10x + 0.04x = 7.61
0.49x + 0.75 = 7.61.
Subtratcing 0.75 from both sides, we get
0.49x = 6.86
Dividing both sides by 0.49, we get
x= 14.
Therefore,
Number of dimes = x = 14.Number of quarters = (x+3) = 14+3 = 17.Number of nickels = 2x = 2*14 = 28.Number of pennies = 4x = 4*14 = 56.A cell phone is 9 centimeters long. If the area of the cell phone is 45 square centimeters, what is the width of the cell phone?
Answers
I really need help with this
Answers
A line is infinitely long but is only one-dimensional.
A solid is three-dimensional but not infinite.
Geometric space is infinite but is three-dimensional.
So, that leaves a plane, which is two-dimensional and infinitely large. The answer is A plane!
A toll collector on a highway receives $8 for trucks and $3 for sedans. At the end of a 2 hour period, she collected $128. How many trucks and sedans passed through the toll booth during that period?
Answers
There are infinitely many combinations of trucks and sedans that could have passed through the toll booth to collect a total of $128 in 2 hours.
Let's assume the number of trucks that passed through the toll booth in the 2-hour period is represented by 't', and the number of sedans is represented by 's'.
According to the given information, the toll collector received $8 for each truck and $3 for each sedan. We can write two equations based on the total amount collected and solve them simultaneously.
The total amount collected from the trucks:
Amount from trucks = $8 × number of trucks = 8t
The total amount collected from the sedans:
Amount from sedans = $3 × number of sedans = 3s
We are also given that the toll collector collected a total of $128 in 2 hours. So we can write the equation:
Amount from trucks + Amount from sedans = $128
8t + 3s = 128
Now, we need to solve the above two equations simultaneously to find the values of 't' and 's'.
To solve these equations, we can use a method called substitution. Let's solve for 't' in terms of 's' using the first equation:
8t = 128 - 3s
t = (128 - 3s)/8
Now we substitute this value of 't' in the second equation:
8(128 - 3s)/8 + 3s = 128
128 - 3s + 3s = 128
128 = 128
We see that both 's' and 't' have been eliminated from the equation, and we are left with 128 = 128. This means the value of 's' can be any number, as long as it satisfies the equation.
Therefore, there are infinitely many combinations of trucks and sedans that could have passed through the toll booth to collect a total of $128 in 2 hours.
To know more about combinations:
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Use this figure to find each ratio in simplest form.
Answers
We know that
triangles ADE and ABC are similar triangles
so, the ratios of their sides must be same
now, we will find value of sides
we are given
AD=12
DB=6
AE=14
EC=7
[tex]AB=AD+DB[/tex]
now, we can plug values
[tex]AB=12+6[/tex]
[tex]AB=18[/tex]
so, we can get ratio
[tex]\frac{DE}{BC} =\frac{AD}{AB}[/tex]
now, we can plug values
[tex]\frac{DE}{BC} =\frac{12}{18}[/tex]
So, the ratio in simplest form is
[tex]\frac{DE}{BC} =\frac{2}{3}[/tex]..............Answer
i need help solving x^2-2=7 by factoring
Answers
x^2-2=7
Subtract 7 from both sides
x^2-2-7=7-7
x^2-9=0
x^2-3^2=0
Using a^2-b^2=(a+b)(a-b)
Where a=x and b=3
(x-3)(x+3)
What is the prime factorization of 2x3x5x7
Answers
This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210
So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7
I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.
The prime factorization of 2x3x5x7 is simply 2x3x5x7 itself because these are all prime numbers. Prime numbers are numbers that have only two factors: 1 and the number itself. In addition, the product 2x3x5x7 equals to 210, so the prime factorization of 210 is also 2x3x5x7.
Explanation:The prime factorization of a number is a product of the prime numbers that can multiply together to create the original number. In this case, the product 2x3x5x7 is already a multiplication of prime numbers. Hence, the prime factorization of 2x3x5x7 is simply 2x3x5x7.
Prime numbers are the numbers that have only two factors: 1 and the number itself. Examples of prime numbers are 2, 3, 5, and 7.
On the other hand, the product 2x3x5x7 equals to 210. So the prime factorization of 210 is also 2x3x5x7.
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Please answer quickly thanks :)
In the first drop box it says , "distance from 15.3 to zero on a number line, or opposite of 15.3"
On the second drop box it says , "Negative or positive"
Answers
Positive. The distance from a number to zero is always positive
Positive. The distance from a number to zero is always positive . hope that helps
what is the slope of -4x - 3
Answers
Hey there!
The slope of the equation is -4.
This is because each time x increases by 1, y increases by -4.
You can typically find the slope right in front of the x value in equations that look like this one.
Hope this helps!
Solve 2(x+1)=2x+5
A. All real numbers
B. No solution
C. 0
D. 3
Answers
2(x+1) = 2x+5
2x + 2 = 2x = 5
2 ≠ 5
Answer
B. No solution
What is a car loan?
A.
a way to pay in advance for using a car for a given time period
B.
a way to pay for a car that is dependent on the number of miles you drive
C.
a way to borrow money from a bank or financial institution to pay for a car
Answers
C. A way to borrow money from a bank or financial institution to pay for a car
What is the value of x in the equation 1/5 x – 2/3y = 30, when y = 15?
Answers
1/5x - 2/3(15) = 30
Answer is: by simplifying both sides of the equation, then isolating the variable.
x = 200
1/5 x – 2/3y = 30
1/5 x – 2/3 (15) = 30
1/5x - 10 = 30
1/5x = 40
x = 200
23-4x=27
solve for x.
Answers
-4x = 4
x = -1
Hello there!
Answer: ⇒ [tex]x=-1[/tex]
_________________________________________________________________
Step-by-step explanation:
First you had to subtract by 23 from both sides of equation.
[tex]23-4x-23=27-23[/tex]
Simplify.
[tex]-4x=4[/tex]
Then you divide by -4 from both sides of equation.
[tex]\frac{-4x}{-4}=\frac{4}{-4}[/tex]
Simplify its should be the correct answer.
[tex]x=-1[/tex]
__________________________________________________________________
Hope this helps!
Thank you for posting your question at here on brainly.
Have a great day!
-Charlie
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