Answer:
11" x 16"
Step-by-step explanation:
This problem can be solved with an equation
If you translate the first words into an equation, you get:
l = 2w - 6
(where w is width and l is length)
The perimeter (p) of any rectangle is 2l + 2w, so
if p = 54
then 54 = 2l + 2w
Now, you have the following two equations:
l = 2w - 6
2l + 2w = 54
In order to solve this for w, you can replace the l in the equation with (2w - 6) because of the substitution property of equality (if a = b, then a can be replaced with b at any time), so you get:
54 = 2(2w - 6) + 2w
Now, you simplify:
54 = 2(2w - 6) + 2w
= 54 = 4w - 12 + 2w
= 54 = 6w - 12
= 66 = 6w
= w = 11
So the width is 11. In order to find the length you just need to substitute it into the equation for the perimeter:
2l + 2(11) = 54
= 2l + 22 = 54
= 2l = 32
= l = 16
In conclusion, the width is 11 and the length is 16.
Answer:
OMG HI
Step-by-step explanation:
It's been a while... how's life
Write −0.48 as a fraction in simplest form.
−0.48=
I would also like an explanation too please! HELP ASAP :(
Answer:
-12/25
Step-by-step explanation: We already know that -48/100=-0.48, so we can just write -48/100 in simplest form which is -0.48. So, your answer is -0.48
Without solving, how can you tell that the inequality 4x + 8 = 4x - 3 has no solution?
Answer:
there are no x values of X that make the equation true
Step-by-step explanation:
The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution or the equation is wrong.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
Given the equation
4x + 8 = 4x - 3
Subtract 4x from both sides
4x + 8 - 4x = 4x - 3 - 4x
(4x - 4x) + 8 = (4x - 4x) - 3
8 ≠ 3
Since it is not satisfying so it will not have any solution.
Hence "The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution".
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LESSON 5: Rational Numbers LEARNING TASK # 2 Score__________ Name:Joseph Sebastian Usi Section:7-Callalily Direction: Perform the indicated operations. 1.34+914=____221_____________ 2. 16+34=______45___________ 3. 46+418=_________220________ 4. 45-615=2 ________________ 5. 25-36=_________________ 6. 37 x 45=_________________ 7. 58x (-53)=_________________ 8. 3425=_________________ 9. 910÷(-45)=_________________ 10. 367 x 225=_________________
Answer:
1. 221+ 727
2. 45+5
3. 220+ 244
4. 2( -285)
5. (-9)
6. 1665 (multiplying)
7. -3074 (multiplying)
8. 685 *5
9. - 20 2/9
10. 82575 (multiplying)
Step-by-step explanation:
1.34+914=____221_____________
948 = 221+ 727 (subtracting 221 from 948)
2. 16+34=______45___________
50= 45+5 ( adding 5 to 45 to get 50)
3. 46+418=_________220________
464= 220+ 244 ( subtracting 220 from 464)
4. 45-615=2 ________________
- 570 = 2( -285) (dividing -570 by 2)
5. 25-36=_________________ (-9)
-9 = -9 ( subtraction)
6. 37 x 45=_________________ 1665 (multiplying)
7. 58x (-53)=_________________ -3074 (multiplying)
8. 3425=_________________ 685 *5 (dividing by 5)
9. 910÷(-45)=_________________ 182/ (-9) (dividing both by 5)
= - 20 2/9
10. 367 x 225=_________________ 82575 (multiplying)
If q(x)=4/5x-9, find the value of x so that the function has the given value of q(x)=3
Answer: x = 15
Step-by-step explanation:
1) Set q(x) = 3 in the equation.
3 = (4/5)x - 9
2) Add 9 to both sides.
12 = (4/5)x
3) Multiply by 5/4 on both sides.
15 = x
x = 15
HELPPPPPP
Question:
In pic
Answer:
68/12
Step-by-step explanation:
12x5 is 60 then add the 8
Answer:
5[tex]\frac{2}{3}[/tex] I believe
NEED ANSWER STAT
A theme park costs $25.00 to enter. One of the food stands within the park sells hot dogs for $2.50 each and hamburgers for $3.50 each. If Paul enters the park, walks to the food stand, and purchases hot dogs and hamburgers, the amount of money he spends can be modeled by the expression below.
2.5d+3.5b+25
2.5d+3.5b+25
Which of the following are correct interpretations for parts of this expression? Choose ALL that apply.
A.
2.5d represents the cost of entering the park
B.
2.5d represents the cost of purchasing d hot dogs
C.
2.5d represents the cost of purchasing d hamburgers
D.
3.5b represents the cost of entering the park
E.
3.5b represents the cost of purchasing b hot dogs
F.
3.5b represents the cost of purchasing b hamburgers
G.
25 represents the cost of entering the park
Answer:
B, F, G
Step-by-step explanation:
Answer:
B, F, G
Step-by-step explanation:
In triangle ABC, angle a equals 25°, angle C equals 55°, and a B equals 60
Answer:
7250
Step-by-step explanation:
This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.
HELP!!!
What is the equation of the line that passes through the point (-5,–6) and has a
slope of 3/5?
Answer:
y=3/5-3
Step-by-step explanation:
Is this Kumon LOL?
y=mx+b
y=3/5x+b
-6=3/5 times -5=b
b=-3
what is the slope of the line ?
Answer:
The slope is -1.
Step-by-step explanation:
Slope= y2-y1/x2-x1 So slope =2-1/-4-(-3)= 1/-1. 1/-1= -1, so the slope= -1.
simplify 12*3/12*7 QUICK PLEASE
Answer:
12*3/12*7= 3/7
Step-by-step explanation:
make it braintliest please
Calculate the average atomic mass between the following isotopes of Copper. Cu63: 68% for mass of 62.93 amu , Cu65: 32% for a mass of 64.93 amu.
The person with correct answer will receive branliest answer, thank you and please help me :)
Answer:
the third one
Step-by-step explanation:
first you would multiply the mass and the "amu" of both of the isotopes of copper when you have what you multiplyed, you add that product and get your answer.
7w = 49 Can anybody help me with this one too?
Answer:
w=7.
Step-by-step explanation:
Divide 7 on both sides of the equation.
Answer:
7w=49
7 × w = 49
w= 49÷7
w=7
A small submarine starts at - 1.260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes What expression represents the new position of the submarine in relation to sea level?
Answer:
The submarine is at -1260 ft.
It descends 5 ft/min for 12 min.
12 min * 5 ft/min = 60 ft.
It descended 60 ft, so you must subtract 60 ft from -1260 ft.
-1260 ft + (-5)(12) ft = -1260 ft - 60 ft = -1320 ft
The error in the last line in the problem is that (-5)(12) = -60, not 60.
The correct line is:
-1260 + (-5)(12) = -1260 - 60 = -1320
Step-by-step explanation:
The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 and one-third percent, an amount of $0.28. What was the wholesale price of each water bottle?
Answer:
$0.84
Step-by-step explanation:
0.28 x 3 = 0.84
0.28 0.28 0.28
= 0.84
33% 33% 33%
Answer:
0.84
Step-by-step explanation: 0.28 + 0.28 + 0.28 = 0.84. i added it 3 times because you will divide by 3
-4x = -1/2 ( 10x + 18 ) can anyone coment
Answer:
Your answer is: x = -9
Solve for x by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
The XYZ Car Rental Agency charges a
flat rate of $39 per day plus $0.47 per mile driven.
Write an algebraic expression for the rental cost of a
car for x days that is driven y miles.
what is the answer?
The graph below showed the amount of money Jason saved over a 5 month period.
Part A write an equation that represents the graph
Answer:
owo
Step-by-step explanation:
At midnight, the temperature was 20.4°F. In the morning, the temperature was −5.2°F. Which statement describes the temperatures?
Please help will give brainliest
Answer:
Hey dabi, the statment that describes the tempertures is one is cold the other is colder i guess
Step-by-step explanation:
May you please help me!? (Also may you please show your work so I understand?)
Answer:
(2,3) (-2,1) (-4,-1) (4,-1) (4,-2) (0,-3)
Step-by-step explanation:
its x then y so you would find the number on the line the dot is on going from left to right for x, then for y go from up to down. also the answers are going from the top of the page, down. hope i helped!
I need to know the missing angles
Answer:
71
Step-by-step explanation: 2x=142
x=71
Answer:
the missing angles are 71
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
142° is an exterior angle of the triangle, thus
x + x = 142
2x = 142 ( divide both sides by 2 )
x = 71
The roots of x² - 4x = 5, in ascending order, are what?? PLEASE HELP
Answer:
Step-by-step explanation:
x^2 - 4x - 5 = 0
(x - 5)(x + 1) = 0
x - 5 = 0
x = 5
x + 1 = 0
x = -1
We want to find the roots of a quadratic equation, to do that, we will use the Bhaskara's formula.
For an equation like a*x^2 + b*x + c = 0
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Using that formula we will get that the solutions in ascending order are -1 and 5.
Now let's see how to get that:
We have expression: x^2 - 4x = 5
We can rewrite this as:
x^2 - 4x - 5 = 0
Now we can use the Bhaskara's formula to get:
[tex]x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*(-5)} }{2*1} = \frac{4 \pm6}{2*1}[/tex]
Then the two solutions are:
x = (4 + 6)/2 = 5
x = (4 - 6)/2 = -1
Then the solutions in ascending order are -1 and 5.
If you want to learn more, you can read:
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A number m plus 4 is greater than or equal to 7.
Answer:
m is greater than or equal to 3
Step-by-step explanation:
[tex]m \geqslant 3[/tex]
Answer:
[tex]m + 4 \geqslant 7 \\ m \geqslant 7 - 4 \\ m \geqslant 3[/tex]
The probability that a randomly selected person at a show has seen the band play live before is 30%. A "superfan" is defined as someone who has seen the band play live at least 10 times. The probability that a person at a show is a "superfan" is 20%. Two people are selected at random. What is the probability that both people have both seen the band perform live before, and are superfans?
Answer:
0.09 and 0.04
Step-by-step explanation:
The probability that a randomly-selected person at a show has seen the band play live before is 30%=0.30
The probability that a person at a show is a "superfan" is 20%=0.20
Two people are selected at random.
The probability that both people have both seen the band perform live before = The probability that the first person has seen the band live before and the second person also has seen the band live before.
=0.30 x 0.30
=0.09
Similarly, the probability that both are "superfans" = The probability that the first person is a superfan and the probability that the second person is a superfan.
=0.20 x 0.20
=0.04
Hence, the probability that both people have both seen the band perform live before, and are "superfans" are 0.09 and 0.04 respectively.
There were 3 boys for every 4 girls in the group if there was 20 girls how many students went on the trip.
Answer:
35 students
Step-by-step explanation:
If there are 4 girls, then there are 3 boys
You will multiply both by 5 to get 20
So 3×5 is 15
20+15 = 35
Answer: 35 students
Explanation: Divide 4 into 20 to see how many sets of 4 girls there are. So there are 5 sets of four girls.
Five times three is 15.
In total (15 + 20), there are 35 students.
Plz mark brainliest:)
M
115°
Y
N
(4k + 5)º
(6k + 10)
X
Answer: 10
Step-by-step explanation:
5y[4-(y+2) ]+4y(y+2)
Answer: −y^2+18y
Let's simplify step-by-step.
5y(4−(y+2))+4y(y+2)
Distribute:
=(5y)(4)+(5y)(−y)+(5y)(−2)+(4y)(y)+(4y)(2)
=20y+−5y2+−10y+4y2+8y
Combine Like Terms:
=20y+−5y2+−10y+4y2+8y
=(−5y2+4y2)+(20y+−10y+8y)
=−y^2+18y
Answer:
= −y^2+18y
Hope this helps you!
Answer:
It could be 37y
Step-by-step explanation:
3x+1=27x-2
X=
I need help in this pleaseeeeeeeee
Answer:
hhdjeejhshhhqhahqhqhhwhhqhqhqhqhwhhehehehwhhehehejwjjw
Answer:
x=1/8
Step-by-step explanation:
First we need to isolate the variable. We can do that by subtracting 3 from each side. You then get: 24x-2=1. Then, to completely isolate it, add 2 to each side. We get 24x=3. Now divide 24 from each side to get only x. We get 3/24, which can be rewritten as 1/8.
3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32
What are the intercepts of the line -8y=8x-32 ?
x-value of x-intercept _____
y- value of y-intercept _____
BRAINLIEST!
Find 78 divided by 13. Input your answer as a reduced fraction.
Answer:
The answer is 6 in reduced fraction form:)
Step-by-step explanation:
The reduced fraction of the given division is 6/1.
Given that, 78 divided by 13.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 78/13
= 6/1
Therefore, the reduced fraction of the given division is 6/1.
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