Answer:
x = 24Step-by-step explanation:
[tex]20 - \frac{x}{3} = \frac{x}{2} [/tex]
Multiply through by the LCM that's 6 in order to eliminate the fraction
That's
[tex]6 \times 20 - 6 \times \frac{x}{3} = 6 \times \frac{x}{2} \\ 120 - 2x = 3x[/tex]
Using the addition property add 2x to both sides of the equation
That's
[tex]3x + 2x = 120 + 2x - 2x \\ 5x = 120[/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{120}{5} [/tex]
We have the final answer as
x = 24Hope this helps you
Answer:
X=24
Step-by-step explanation:
20=x/2+x/3
20=1/2x +1/3x
20=5/6x
20÷5/6=x
X=24
What is the expanded form for 102,200
Answer: 100,000 + 2000 + 200
Hope this helps!
Please mark Brainliest!
Answer:
100,00+2,000+200
Step-by-step explanation:
Can someone do this please for me :(
The 1st question says that you should look clearly and it tells you what you need to learn. Use this information with all the other questions
Choose the option that best completes the sentence.
The amount of energy it takes to lift a box might be a function of:
O A. the weight of the things inside the box.
O B. where the box was shipped from.
O c. the day of the week the box is being lifted.
D. the color of the box.
The correct sentence will be;
⇒ The weight of the things inside the box.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sentence is,
''The amount of energy it takes to lift a box might be a function of;''
Now,
Since, The sentence is,
''The amount of energy it takes to lift a box might be a function of;''
We know that;
The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.
Thus, The correct sentence is;
⇒ The weight of the things inside the box.
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How many gallons of paint are needed to paint the walls of a rectangular prism shaped room that is 20 ft by 13 ft and 8 ft high if 1 gallon of paint covers 40 square feet?
Answer:
20 Gallons of paint are needed.
Step-by-step explanation:
Surface Area of a rectangular prism formula is 2 * length * width + 2 * length * height + 2 * width * height.
Substituting the given values, we get:
SA = 2 * 20 * 13 + 2 * 20 * 8 + 2 * 13 * 8
SA = 1048
Area of the floor is length * width. 20 * 13 = 260
Subtract the area of the floor from SA as we do not paint the floor. 1048 - 260 = 788
The number of gallons of paint is 788 / 40 as each gallon covers 40 sq feet. We round this number up to ensure that we have more than enough paint. 788 / 40 = 19.7. Rounding that to 20.
Therefore, 20 gallons of paint are needed.
The width of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in.? pls help asap i will award brainliest
Answer:
[tex] \boxed{ \sf{length \: of \: a \: rectangle = 21 \: in.}}[/tex]
[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10.5 \: in.}}[/tex]
Step-by-step explanation:
Let the length of a rectangle be ' l '
Width of a rectangle ( w ) = [tex] \sf{ \frac{1}{2} l}[/tex]
Perimeter of a rectangle ( P ) = 63 in.
First, finding the length of a rectangle ( l )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + b)}} \:[/tex]
[tex] \dashrightarrow{ \sf{63 = 2(l + \frac{1}{2} l}})[/tex]
Distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{63 = 2l + 2 \times \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{63 = 2l + l}}[/tex]
Add the like terms : 2l and 3l
[tex] \dashrightarrow{ \sf{63 = 3l}}[/tex]
Swap the sides of the equation
[tex] \dashrightarrow {\sf{3l = 63}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3l}{3} = \frac{63}{3}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{l = 21 \: in.}}[/tex]
Length of a rectangle = 21 in.
Now, replacing / substituting the value of l in 1/2 l in order to find the width of a rectangle
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} \times 21}}[/tex]
[tex] \dashrightarrow{ \sf{width = 10.5 \: in.}}[/tex]
Width of a rectangle = 10.5 in.
Hope I helped!
Best regards! :D
Freddie put an empty bucket underneath a leaking pipe. After 3/4 hours, Freddie collected 1/2 cups of water. What is the rate, in cups per hour, at which the water is leaking from the pipe?
Is the sum of 10/101 n 22/44 rational or irrational?
Answer:
The answer would be rational. Please mark brainliest.
Step-by-step explanation:
I know this because the number make up a difference of y=mx+b
Malik is planning a 6-day summer vacation trip. He has $840 in savings, and he earns $45 per hour for tutoring. The trip will
cost him $525 for airfare, $780 for food and sightseeing, and $95 per night for the hotel. How many hours must he tutor to
have enough money to pay for the trip?
Answer:
23
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of hours required to tutor to have enough money to pay for the trip is 23 hours.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of days for the summer vacation = 6
Savings = $840
Earnings per hour = $45
Airfare cost = $525
Food and sightseeing = $780
Hotel cost per night = $95
Number of hours = x
We can make an expression.
525 + 780 + 6 x 95 = 840 + 95x
525 + 780 + 570 = 840 + 45x
1875 = 840 + 45x
1875 - 840 = 45x
1035 = 45x
1035/45 = x
x = 23
This means 23 hours.
Thus,
The number of hours required to tutor to have enough money to pay for the trip is 23 hours.
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I need help on this
Answer:
x=28
Step-by-step explanation:
180-42=138 since a triangle adds up to 180
2x+10+3x-12=138 then combine like terms
5x-2=138 add 2 to both sides
5x=140 divide each side by 5
x=28
simplify it for me please Simplify: 1.50
Answer:
2
Step-by-step explanation:
The perimeter of a rectangular movie screen at a local cinema is 148 feet. If the length of the screen is 30 feet longer than the width, what is the length of the screen, in feet?
The perimeter of a rectangle = 2(l + w)
l = length
w = width
In this problem,
w = x
l = x + 30
the perimeter = 148
Let's plug our values into the perimeter formula above.
148ft = 2(x + x + 30ft)
Combine like terms.
148ft = 2(2x + 30ft)
Distribute the 2
148ft = 4x + 60
Subtract 60 from both sides
88ft = 4x
Divide both sides by 4
22ft = x
The width = x = 22ft
The length = x + 30 = 22 + 30 = 52ft
Solve for g.
s=4g + 4u
Answer:
[tex]\frac{s-4u}{4}[/tex]
Step-by-step explanation:
[tex]s=4g+4u[/tex]
Switch sides:
[tex]4g+4u=s[/tex]
Subtract 4u from both sides:
[tex]4g+4u-4u=s-4u[/tex]
[tex]4g=s-4u[/tex]
Divide both sides by 4:
[tex]\frac{4g}{4}=\frac{s-4u}{4}[/tex]
[tex]g=\frac{s-4u}{4}[/tex]
Answer:
g= s/4-u
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Laundry detergent comes in 2 sizes. Box A is $7.62 for 2.5 Litres, Box B is
$5.74 for 1.5 Litres. Which is the better deal and by how much?
Answer:
$7.25 = 2.5, so divide by 7.25 by 5 = 1.45 <- better deal & $0.46333333333 per litre.
5.74 = 1.5, so divide 5.74 by 3 = 1.91333333333
Step-by-step explanation:
Why 3 and 5 - 0.5 is 5 times 2.5 and so is 0.5 times 3= 1.5
1.91333333333 - 1.45 = $0.46333333333 per litre.
What is 72% of 87.5?
Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply.
Answer:
c and d?
Step-by-step explanation:
im not sure if thats right but those are the only 2 numbers that i see beetween the number line
Answer:
A, C, D, E
Step-by-step explanation:
-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8
-9/10 as a decimal is -0.9 so it is too high
-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8
-1/4 as a decimal is -0.25 so it is too high
-2/5 as a decimal is -0.4 so it is between 0.2 and 0.
EDIT: 1/4 is right actually so it's d to.
In the diagram which angles are vertical angles
Answer:
angles that are opposite each other when two straight lines intersect.
Step-by-step explanation:
4.Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
PLEASE HELP
Answer:
I think it's x3-x=0 but is not you can use a math app and take a picture
Answer:
-2
Step-by-step explanation:
(6,0)-(0,3)
It goes don -6 and over 3
-6/3=-2
Harper scores 24 points per coin. In all, how many coins does Harper have to collect to
score a total of 48 points?
Answer:
2
Step-by-step explanation:
1 coin = 24 points
2 coins = 48 points
3 coins - 72 points
~theLocoCoco
Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
a.c=-6
b.c=-1
c.c=5
d.c=7
Answer is C.
Use linear equation to calculate intercepts. x minus one-half y = negative 4 Complete the table with values for a and b. A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
Answer:
Use linear equation to calculate intercepts.
x minus one-half y = negative 4
Complete the table with values for a and b.
A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
a =
✔ 8
b =
✔ –4
Step-by-step explanation:
those are ur correct answers
Answer:
Use linear equation to calculate intercepts.
x minus one-half y = negative 4
Complete the table with values for a and b.
A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
a =
✔ 8
b =
✔ –4
Step-by-step explanation:
What is the decimal number in expanded form for 0.914 meters
What percent of 70 is 49?
Answer:
70%
Step-by-step explanation:
49/70 = 0.7
0.7*100 = 70%
Your backyard is 27 feet longer than it is wide. Its area is 9718 square feet. What is the width Set up and solve a quadratic equation.
Answer:
Width = 86 feet
Step-by-step explanation:
Create two equations with the info:
L = 27 + W
where L represents the length and W the width of the backyard.
The other one is about the area of the rectangular backyard:
Area = L x W
where you replace the area with 9718 and the length (L) with (27 + W):
[tex]Area= L\,*\,W\\9718=(W+27)\,W\\9718=W^2+27\,W\\W^2+27\,W-9718=0[/tex]
and solve for W using the quadratic equation:
[tex]W=\frac{-27+/-\sqrt{27^2-4(1)(-9718)} }{2\,(1)} \\W=\frac{-27+/-\sqrt{39601}}{2} \\W=\frac{-27+/- 199}{2}[/tex]
This gives us two solutions:
W = - 113
and W = 86
We use the positive solution since this is a distance.
Therefore the width is: 86 feet
How is. X^2=36 rational?
Answer:
[tex] {x}^{2} = 36 \\ x = \sqrt{36 } \\ x = 6 \\ it \: is \: rational \: number \: because \: we \: can \: write \: 6as \: 6 \1 \: it \: is \: in \: the \: form \: of \: p \q \: where \: \: q \: i \: not \: equals \: to \: 0[/tex]
hope this will help you.
What’s the slope of (6, 12) and (-6,-2)
Answer:
m= 7 / 6
Step-by-step explanation:
we need to start out by plugging in the integers into the formula which is the following:
m= y2 - y1 / x2 - x1
m= -2 - 12 / -6 - 6
then we begin to solve
m= -14 / -12
this is not in its simplest form, so we simplify it
(in this case I simplified by 2)
m= -7 / -6
and because two negatives will give you a positive, your final answer is
m= 7 / 6
A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
Answer:
10
Step-by-step explanation:
Whenever we see "of" we know its multiplication
125% x a normal day
125% x 8
[tex]\frac{125}{100}[/tex] x 8
10
:)
4a²-4ab + b2, when a = 2 and b = 5
Answer: -14
Step-by-step explanation:
literally just plug the numbers in the equation:
a= 2 b=5
4(2)^2-4(2)(5)+(5)2
4(4) -4(10) +10
16 - 40 + 10
-14
Hope this helps
The value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The expression:
= 4a² - 4ab + b²
Plug a = 2
b = 5
In the above expression:
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Applying arithmetic operation:
= 4(2)² - 4(2)(5) + (5)²
= 4x4 - 40 + 25
= 16 - 40 + 25
= 1
Thus, the value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.
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A cliff diver leaps from a 100-foot cliff into the Pacific. The diver’s height above the water is modeled by the function P(x) = –16x 2 + 10x + 100, where x is time in seconds. During which interval is the diver at least halfway down
Answer:
2.1 < x <2.5
Step-by-step explanation:
i’m taking the test rn i’m not sure if it’s correct i’ll lyk!
Answer:
B on Edge
Step-by-step explanation:
12a - 6 + 7a - 2a ; a = 4
Need help please
Answer:
62
Step-by-step explanation:
Plug in the value of a in the equation:
12(4) - 6 + 7(4) - 2(4)
Solve 12(4) - 6:
12(4) - 6 = 48 - 6 = 42
Solve 7(4) - 2(4):
7(4) - 2(4) = 28 - 8 = 20
Combine both answers (42+20):
42+20 = 62
Complete answer:
12(4) - 6 + 7(4) - 2(4) = 62
Brian saw 106 birds and half as many squirrels. Which of the following is a good estimation of how many more birds he saw than squirrels?
Answer:
53
Step-by-step explanation: