Answer:
[tex]2.4\text{ feet}[/tex]
Step-by-step explanation:
A rectangle's perimeter is given by the formula:
[tex]P=2(l+w)[/tex]
A rectangle's area is given by the formula:
[tex]A=lw[/tex]
We are given that they have the same numerical value. In other words:
[tex]2(l+w)=lw[/tex]
And we are also given that the length is 12 feet. So, substitute 12 for l:
[tex]2(12+w)=12w[/tex]
To solve for the width, we just need to solve for w.
On the left, distribute:
[tex]24+2w=12w[/tex]
Subtract 2w from both sides. The left side cancels:
[tex]24=10w[/tex]
Divide both sides by 10. Flip also:
[tex]w=\frac{24}{10}[/tex]
Reduce both layers. Use 2. So:
[tex]w=12/5=2.4[/tex]
So, the width is 2.4 feet.
And we're done!
Answer:
2.4
Step-by-step explanation:
solve the inequality
4(1-x)+5(1+x)>3x-1
Answer: x < 5
Step-by-step explanation:
4 - 4x + 5 + 5x > 3x - 1
9 + x > 3x - 1
10 > 2x
x < 5
–0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4
Answer:
0
Step-by-step explanation:
Given
- 0.4(3x - 2) + [tex]\frac{2x+4}{3}[/tex] ← substitute x = 4 into the expression
= - 0.4(3(4) - 2) + [tex]\frac{2(4)+4}{3}[/tex]
= - 0.4(12 - 2) + [tex]\frac{8+4}{3}[/tex]
= - 0.4(10) + [tex]\frac{12}{3}[/tex]
= - 4 + 4 = 0
solve this equation- x+3=x+3
Answer:
x = 0
Step-by-step explanation:
Step 1: Write out equation
x + 3 = x + 3
Step 2: Add x to both sides
2x + 3 = 3
Step 3: Subtract 3 on both sides
2x = 0
Step 4: Divide both sides by 2
x = 0
Answer:
Step-by-step explanation:
x + 3 = x + 3
3 = 3
infinitely many solutions
A square cloth has an area of 285 square
centimeters. To the nearest centimeter, what is the
length of one side of the cloth? (Your final answer
should just be a whole number)
find the distance between the two points rounding to the nearest tenth (if necessary)
(8,-4)and (3,8)
The distance between the given points is 13 units.
We have two coordinate points A(8, -4) and B(3, 8).
We have to determine the distance between these two points.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of 1st point - A(8, -4)
Coordinates of 2nd point - B(3, 8)
Using the distance formula given -
d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]
d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13 units
Therefore, the distance between the given points is 13 units.
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5 degrees below zero
Answer:
5 degrees below zero = -5 degrees
Express 7.4 x 10² in standard form.
MATH
Answer:
7.4 x 10²
7.4 *100
740
Step-by-step explanation:
10^2 = 100
7.4 × 10^2 = 7.4 × 100 = 740
Answer: 74021x-13= 10x+31
Find uv if the value x=4
Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.
Answer:
No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87
The amount in credit card is enough to pay 12 months gym charge.
Given that, the charge for one month is $16.99.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Number of months = 12
Let the total charge for 12 months be x.
Now, x = 16.99×12
= $203.88
Therefore, the amount in credit card is enough to pay 12 months gym charge.
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Consider this polynomial equation.
Use the equation to complete this statement.
The equation has solutions. Its real solutions are .
Answer:
The equation has 5 solutions and its real soluations are x=3, +sqrt2, -sqrt2, and -1
Step-by-step explanation:
Answer:
x = 3, -1, 2, -2
Step-by-step explanation:[tex]x^{2}[/tex]
6([tex]x[/tex]-3)([tex]x^{2}[/tex]+4)([tex]x[/tex]+1) = 0
6([tex]x[/tex]-3)([tex]x[/tex]+2)([tex]x[/tex]-2)([tex]x[/tex]+1) = 0
Using the fact that ([tex]x^{2}[/tex]+4) = ([tex]x[/tex]-2)([tex]x[/tex]+2) - known as the difference of two squares rule
Thus solve by inserting values of [tex]x[/tex] that will result in the equation equating to 0.
ie: if [tex]x[/tex] = 3,
6(3-3)(3+2)(3-2)(3+1) = 0
0=0
RHS = LHS therefore true
Fred wants to make brownies. To make brownies, he needs 1/4 of a cup of flour per batch of brownies. If Fred has 10 cups of flour, how many batches of brownies can he make?
he can make like nine batches so ya ya ya ya ya Step-by-step explanation:
What is 2.4 x 10^4 covert the number into standard notation
Answer:
24000
Step-by-step explanation:
10 times 2.4 is 24 so then add three 0's.
After converting 2.4 x [tex]10^{4}[/tex] into standard notation the value will be 24000 .
Given,
2.4 x [tex]10^{4}[/tex]
Now,
Firstly calculate the value of [tex]10^{4}[/tex],
[tex]10^{4}[/tex] = 10000
Now ,
Multiply 2.4,
So
2.4 × 10000
Decimal will be shifted after four places .
So,
= 24000
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Llen's score in a video game was changed by −50 points because he missed some targets. He got −10 points for each missed target. How many targets did he miss? Allen missed targets.
if the perimeter of a square is 8√2, find the area of the square
Answer:
Area=128
Step-by-step explanation:
p=8[tex]\sqrt{2}[/tex]
A=p^2
put value of p
A= (8[tex]\sqrt{2}[/tex])power2
A= (8^2* [tex]\sqrt{2}[/tex]^2)
A=64 * 2 (square root of 2 will be cancel by power 2)
A= 128
A map has a scale of 1 inches : 10 miles. Use the given map distance to find the actual distance.
15 miles
12 miles
30 miles
39 miles
A map has a scale of 1 inch : 5 kilometers. Use the given actual distance to find the map distance.
14.4 inches
9.25 inches
68 inches
20.3 inches
Answer:
A) inches: 1.5, 1.2, 3.0, 3.9
B) km 72, 46.25, 340, 101.5
Step-by-step explanation:
A) To find the distance in inches, divide by 10 miles:
15 miles ⇒ 1.5 inches
12 miles ⇒ 1.2 inches
30 miles ⇒ 3.0 inches
39 miles ⇒ 3.9 inches
__
B) To find the distance in km, multiply the map distance by 5.
14.4 in ⇒ 72 km
9.25 in ⇒ 46.25 km
68 in ⇒ 340 km
20.3 in ⇒ 101.5 km
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 460 miles on 20 gallons of gas. What is the car's gas mileage?
Answer:
23
Step-by-step explanation:
because 460 divided by 20 is 23 so the car gets 23 mpg because 460 represents miles and 20 represents gallons of gas
The car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Gas mileage is the number of miles you can drive on a gallon of gasoline.
A test of a new car results in 460 miles on 20 gallons of gas.
Let x be the car's gas mileage.
The value of the x can be found as follows:
x = 460/20
x = 23
20 gallons of gas and 460 miles are represented by the numbers.
Thus, the car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.
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Find the slope of the line parallel to the given line
y=8/3x-5
Answer:8/3
Step-by-step explanation: parallel lines have the same slope
Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2).
What is the scale factor of the dilation?
10
9
8
7
6
5
3
2
1
3
VA
5
8 9 10 11 12 13 14 15
03
12
O 8
1/3
Answer:
3
Step-by-step explanation:
combining like terms with negative coefficients and distribution
-5(3x+10)-2(4x-5) ?
Answer:
-23x-40
Step-by-step explanation:
-5(3x+10)-2(4x-5)-15x-50-8x+10-23x-40factorize
a²-b²-20+1
Answer:
(a+b)(a-b)-19
Step-by-step explanation:
a²-b²
=a²-ab+ab-b²
=a(a-b)+b(a-b)
=(a+b)(a-b)
it'll be more easy to understand if u try solving it the other way(from bottom to the top)
there fore... a²-b²=(a+b)(a-b)
and -20+1=-19
so then the ans will be(a+b)(a-b)-19
what are the steps to the soultion of 2<-3X-4<5
Answer:
i have no idea
Step-by-step explanation:
no idea
Answer:
-4<x<-2
Step-by-step explanation:
The first thing you do to solve this problem is to look at the limits: -3x-4 should be higher than 2 and lower than 5.
You first find what x should be for -3x-4 to equal 2. After solving, you get that x should be -2 for the equation to be equal to 2.
You then find what x should be for -3x-4 to equal 5. After solving, you get that x should be -4 for the equation to be equal to 5.
Since x can't be -2 or -4, because -3x-4 should be greater than 2 and less than 5, the solutions for x are going to be between -2 and -4.
This is why the answer to this problem is -4<x<-2.
please help me i’m not trying to fail
A solution of salt and water contains 70 grams of water per 140 milliliters of the solution. If 1 mole of water weighs 16 grams, moles of water would be present in 35 milliliters of the solution. [Round off your answer to two decimal places] (4 points)
Answer:
1.09 moles.
Step-by-step explanation:
There is 70g of water in 140ml of solution.
This means there are 17.5g of water in 35ml of solution. (Divide by 4)
In 17.5g of water, there are 17.5/16 = 1.09 moles of water.
HELP ME PLZ!!!! I'll do ANYTHING!!!
Answer: N = 11
Step-by-step explanation:
Add 8 on both sides
-10n = -110
divide -110 by -10
Answer:
n = 11
Step-by-step explanation:
-10n - 8 = -118
Add 8 to each side
-10n - 8+8 = -118+8
-10n = -110
Divide by -10
-10n/-10 = -110/-10
n = 11
9 = -3 + n + 2n what does n equal ?
Step-by-step explanation:
9=-3+n+2n
9+3=n+2n
12=3n
n=12/3
n=4
[tex]9 = - 3 + n + 2n[/tex]
now let's flip this equation to make things easier[tex] - 3 + n + 2n = 9[/tex]
now move -3 to the other sidewhen we move -3 to the other side it turns into positive 3[tex]n + 2n = 9 + 3[/tex]
now add the values on both sidesn + 2n will be equal to 3n and 9 + 3 will be equal to 12[tex]3n = 12[/tex]
now move 3 to the other sidethe multiplication sign that binded 3 and n together will change into division when moved to the other side[tex]n = \frac{12}{3} [/tex]
when we divide 12 and 3 we will get 4[tex]n = 4[/tex]
so final answer is 4hope that helps !Is compare 3 >,< or =
Is compare 4 >,< or =
Please help
Answer:
First one is <
Step-by-step explanation:
Second one is =
hey how do i solve this problem i’m clueless and don’t know how to do it. if you can could you explain it please?
(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.
6^2 = 36
(g^4)^2 = g^8
(h^5)^2= h^10
The final answer: 36g^8h^10
Diamond bought a few swirl marbles and divided it equally among four of her friends and her brother, Jordan. While playing, Jordan lost 4 marbles and has only 8 marbles at present. Find how many marbles Diamond bought in all.
Answer:
45?
9 marbles x 5 (four of her friends plus jake)
Step-by-step explanation:
5-3(5x+2)+15x
Show and explain work
Answer:
-1
Step-by-step explanation:
5-3(5x+2)+15x
Distribute
5 - 3*5x - 3*2 +15x
5 - 15x -6+15x
Combine like terms
5-6 -15x+15x
-1
Solve the formula for m.
e = MC^2
M=
Answer:
[tex] M = \frac{e}{C^2 } [/tex]
Step-by-step explanation:
[tex]e=MC^2 \\ \frac{e}{C^2 } = M \\ \huge \red{ \boxed{M = \frac{e}{C^2 } }}[/tex]