To solve the equation, you need to isolate/get "y" by itself in the equation:
3y - 4 = 6 - 2y Add 2y on both sides
3y + 2y - 4 = 6 - 2y + 2y
5y - 4 = 6 Add 4 on both sides
5y - 4 + 4 = 6 + 4
5y = 10 Divide 5 on both sides
[tex]\frac{5y}{5} =\frac{10}{5}[/tex]
y = 2
PROOF
3y - 4 = 6 - 2y Substitute/plug in 2 for y
3(2) - 4 = 6 - 2(2)
6 - 4 = 6 - 4
2 = 2
After Solving the equation for 3y-4=6-2y, we get y = 2. We must isolate the variable y on one side of the equation in order to get the solution to the equation 3y - 4 = 6 - 2y. Here's a step-by-step procedure:
Start by solving 3y - 4 = 6 - 2y, which is the provided problem.
Add 2y to both sides of similar phrases to combine them: 3y + 2y - 4 = 6 - 2y + 2y.
Simply put, this is: 5y - 4 = 6.
Add 4 to both sides of the variable word to isolate it: 5y - 4 + 4 = 6 + 4.
This may be summarised as 5y = 10.
To find y, multiply both sides of the equation by 5. (5y) / 5 = 10 / 5.
This may be condensed to: y = 2.
Consequently, y = 2 is the answer to the equation 3y - 4 = 6 - 2y.
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If the point (2,4 is rotated 90 degrees clockwise what is the location of the new point
Answer:
Therefore the new coordinate of the point is (2,-4)
Step-by-step explanation:
A point (2,4) is rotated [tex]90^\circ[/tex] clockwise .
The point (2,4) lies on the first coordinate.If the point rotated [tex]90^\circ[/tex]clockwise direction It will be go fourth coordinate.
Therefore the new coordinate of the point is (2,-4)
simlify the the expression using bedmas. 3 over 2 of 9 over 7
Step-by-step explanation:
[tex] (\frac{3}{2} ) \frac{9}{7} = \frac{3}{2} \times \frac{9}{7} = \frac{27}{14} \\ [/tex]
Answer:
it means 3/2 of 9/7
Step-by-step explanation:
those are fractions
What is the value of x in 2x+8+3x+5=123
Answer:
5x + 13 = 123
- 13 - 13
5x = 110
5x/5 = 110/5
x = 22
If the temperature was 45°F at 9am, what was the temperature at 6pm
Answer: 35 F
Step-by-step explanation:
night time
Find the area of a triangle with base 13 inches and height 2 inches.
187 is the product of -17 and m .
Answer:m=-11
Step-by-step explanation:
You find the answer by dividing 187 by -17.
The value for m is -11
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: -17m=187
Thus simplifying we get m= 187/-17
= -11
Hence, The value for m is -11
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Simplify the expression 54. (1 point)
A. 20
B. 1,024
C. 125
D. 625
To simplify the expression 54, divide it by 2 and 3 to get the simplified result of 9.
Explanation:To simplify the expression 54, you need to consider the properties of the number 54. First, note that 54 is divisible by 2. Next, check if it is also divisible by 3. If it is, continue dividing by 3 until you can no longer do so. In this case, 54 is divisible by both 2 and 3, so you can simplify it as follows:
Divide 54 by 2: 54 ÷ 2 = 27Divide 27 by 3: 27 ÷ 3 = 9Therefore, the simplified expression 54 is equal to 9. So, the correct answer is A. 20.
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it’s take 4 minutes to fill an empty aquarium to a depth of 2/5 meters. what is the unit rate in minutes per meter?
The unit rate is calculated by dividing the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, the unit rate for filling the aquarium is 10 minutes per meter.
Explanation:To calculate the unit rate, you divide the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, for the unit rate in minutes per meter, you would set up the division as follows:
4 minutes / (2/5) meters
When you divide 4 by 2/5, you actually multiply 4 by the reciprocal of 2/5, which is 5/2.
So, 4 * (5/2) = 10
Therefore, the unit rate for filling the aquarium is 10 minutes per meter.
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hi guys I am dumb so can you guys help
Answer:
study more that should help you out
Step-by-step explanation:
study more
Answer:
try to study
Step-by-step explanation:
Find the nth term in the geometric sequence 12, -3, 3/4
Answer:
12 (-0.25)ⁿ
Step-by-step explanation:
recall that the general form for each term in the geometric progression is
arⁿ
such that the geometric progression looks something like.
ar⁰, ar¹, ar², ar³, ....., arⁿ, ......
also note that r⁰ = 1, hence ar⁰ is simply a
hence the G.P can be written
a, ar, ar², ar³, ....., arⁿ, ......
also note that r can be obtained by simply dividing the 2nd term with the 1stterm. i.e
r = ar ÷ a
now we are given the first 3 terms in the GP as
12, -3, 3/4, ....
comparing with the GP in the previous paragraph, we can see that ,
a = first term = 12
also
r = 2nd term ÷ 1st term
= -3 ÷ 12
= -0.25
hence the nth term
= arⁿ
= 12 (-0.25)ⁿ
A total of 216 people bought tickets for the matinee and night showing of the school play. Students bought
of the tickets foi
the matinee, while g of the night show's tickets were sold to students. If there were a total of 118 tickets sold to students,
which system of equations can be used to determine the total number of tickets sold for the matinee, x, and for the night
showing y?
© x+y= 216 and < x+y=118
x+y = 118 and ž x+2y=216
x+y = 218 and x+ žy - 118
x+y = 118 and ģx+ Ży-118
the answer is A
Step-by-step explanation:
Answer:
A. x + y = 216 and Two-thirds x + StartFraction 4 Over 9 EndFraction y = 118. ☁︎✮
Step-by-step explanation:
given that tan^2 0=3/8, what is the value of sec 0?
The value of [tex]\sec\theta =\pm\sqrt{\frac{11}{8}}[/tex].
Solution:
Given data:
[tex]$\tan^2\theta=\frac{3}{8}[/tex]
To find the value of [tex]\sec\theta:[/tex]
Using trigonometric identity,
[tex]\sec^2\theta=1+\tan^2\theta[/tex]
Substitute [tex]\tan^2\theta=\frac{3}{8}[/tex] in the identity, we get
[tex]$\Rightarrow \sec^2\theta=1+\frac{3}{8}[/tex]
1 can be written as [tex]\frac{1}{1}[/tex].
[tex]$ =\frac{1}{1} +\frac{3}{8}[/tex]
Do cross multiplication.
[tex]$ =\frac{8}{8} +\frac{3}{8}[/tex]
Denominators are same, so you can add the fractions.
[tex]$ =\frac{8+3}{8}[/tex]
[tex]$\Rightarrow \sec^2\theta =\frac{11}{8}[/tex]
Taking square root on both sides, we get
[tex]$\Rightarrow \sec\theta =\pm\sqrt{\frac{11}{8}}[/tex]
Option B is the correct answer.
Hence the value of [tex]\sec\theta =\pm\sqrt{\frac{11}{8}}[/tex].
How many solutions does this equation have?
(15x + 21)
3
= 5x + 7
Your equation is unclear. Do you mean the following:
(15x+21)/3=5x+7 or 3(15x+21)=5x+7
If the left equation is the correct one, the left side simplifies to 5x+7=5x+7, which must mean all real numbers are correct solutions. Thus, it has infinite real solutions.
The equation (15x + 21)³ = 5x + 7 is a cubic equation. The number of solutions can be 0, 1, 2, or 3 solutions.
Explanation:The equation is (15x + 21)³ = 5x + 7. To determine the number of solutions, we need to simplify and solve the equation.
Step 1: Expand the equation using the binomial theorem. This gives us: 3375x³ + 14175x² + 19305x + 9261 = 5x + 7.
Step 2: Combine like terms on both sides of the equation. This results in: 3375x³ + 14175x² + 19305x + 9254 = 0.
Step 3: This is a cubic equation. Cubic equations can have 3 solutions at most. However, it is not guaranteed that this equation will have 3 solutions. It can have fewer solutions or even no real solutions.
Therefore, the number of solutions for this equation is either 0, 1, 2, or 3 solutions. Further analysis or calculations may be needed to determine the exact number of solutions.
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Is 3/8 smaller than 11/12
Answer:
3/8 is smaller than 11/12
Step-by-step explanation:
3/8 is equal to 0.375 and 11/12 is equal to 0.91, which makes 3/8 a smaller number and 11/12 a bigger number.
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting is 126 in^2. What was the original side length of the square.
Answer:
[tex]Original\ length\ of\ square=10\ inches[/tex]
Step-by-step explanation:
Let the length of square [tex]=x\ inches[/tex]
[tex]8[/tex] inches is added one side of square
Then length of one side [tex]=x+8\ inches[/tex]
[tex]3\ inches[/tex] is subtracted other side of square
Then length of other side [tex]=x-3[/tex]
[tex]area\ of square =126\ inches^2\\\\Side\times side =126\ inches^2\\\\(x+8)\times(x-3)=126\ inches^2\\\\x(x-3)+8(x-3)=126\ inches^2\\\\x^2-3x+8x-24=126\ inches^2\\\\x^2+5x-24=126\ inches^2\\\\x^2+5x-150=0\\\\x^2+15x-10x-150=0\\\\x(x+15)-10(x+15)=0\\\\(x+15)(x-10)=0\\\\x+15=0\\x=-15\ \ \ \ negative\ length\ does\ not\ consider\\\\x-10=0\\x=10[/tex]
[tex]Original\ length\ of\ square\ =10\ inches[/tex]
Find the slope of the curve y=-3x-x^2 at the point (-1,2)
Answer:
slope = - 1
Step-by-step explanation:
The slope of the curve m is measured by
m = [tex]\frac{dy}{dx}[/tex] at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = - 3x - x², then
[tex]\frac{dy}{dx}[/tex] = - 3 - 2x
x = - 1 → [tex]\frac{dy}{dx}[/tex] = - 3 - 2(- 1) = - 3 + 2 = - 1 ← slope at (- 1, 2 )
Hey scientist has it the amount of rainfall during the afternoon is around 0.43 minutes and each hour what was the total amount of rain fall in three hours
Answer:
1.29 minutes
Step-by-step explanation:
The scientist has a record of the amount of rainfall during the afternoon as around 0.43 minutes in each hours.
Now, we have to calculate the total amount of rainfall in three hours.
As the each hour rainfall is of 0.43 minutes, so the total rainfall in three hours will be (0.43 × 3) = 1.29 minutes. (Answer)
6. The measures of the three angles of a triangle
are (3x), (x - 15)° and (2x + 15). What is the
measure of the angle with the greatest measure?
the measure of two supplementary angles have a ratio of 5:4 what is the measure of the large angle?
Answer:
100°
Step-by-step explanation:
The larger one is 5/(5+4) = 5/9 of the total, so is ...
5/9 × 180° = 100°
The measure of the larger angle is 100°.
Solve for the variable in each equation
Answer:
Step-by-step explanation:
The store buys a keyboard for $35 and sells it for $61.25. What percentage was the markup?
If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length
Answer:
Leg length = 8.5Step-by-step explanation:
let x represent the leg length
if we use the Pythagorean theorem we get:
x² + x² = 12²
then
2x² = 12²
Then
x² = 144/2 = 72
then
x = √(72)
=8,485281374239
Ben paid $86 for 40 gallons of gas. How much would 15 gallons cost?
I require assistant one final time
Answer:
No, the expressions are NOT equivalent.
Step-by-step explanation:
Solve each:
11t - 4t
(11 × 2) - (4 × 2)
22 - 8
= 14
4t - 11t
(4 × 2) - (11 × 2)
8 - 22
= -14
14 is NOT equivalent to -14
6000(1-(1+0.06)‐³²)/0.06(1+0.06)
Answer:
79716.98
Step-by-step explanation:
Solve 3(x + 2) > x.
{x | x < -1}
{x | x > -1}
{x | x < -3}
{x | x > -3}
Answer:
3x + 6 > x
2x > -6
x > -3
answer is d
Answer:
x > -3
Step-by-step explanation:
At noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .48. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic beverage.
The probability that in a sample of 12 customers at Noodles & Company restaurant, none of them will order a nonalcoholic beverage is 0.020211.
Explanation:In this question, we are given that the probability that a customer will order a nonalcoholic beverage at Noodles & Company restaurant is 0.48. We are asked to find the probability that in a sample of 12 customers, none of them will order a nonalcoholic beverage.
To find the probability that none of the 12 customers will order a nonalcoholic beverage, we can use the concept of independent events and the multiplication rule of probability.
The probability that a customer will order a nonalcoholic beverage is 0.48, so the probability that a customer will not order a nonalcoholic beverage is 1 - 0.48 = 0.52. Since each customer's decision is independent, the probability that none of the 12 customers will order a nonalcoholic beverage is (0.52)^12 = 0.020211.
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Help. I can’t figure this out.
Answer:
5
Step-by-step explanation:
The median is 5. Cross off the dots on both sides one by one until you reach the center.
The radius of circle L is 16 cm.
What is the length of its diameter?
8 cm
16 cm
32 cm
64 cm
Circle with center at point L. Points G, H, I, J and K are on the circle. Line segments GK, GL, LJ, GLJ, IL, HL, LK and HLK are drawn.
Answer:
32 cm
Step-by-step explanation:
Radius=16 cm
Now
Diameter=2(radius)
Diameter=2(16)
=32 cm
32
Step-by-step explanation:
Cuz radius is half circle, so times that by 2 you get diameter
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What is the area of this parallelogram?
A. 364 cm²
B. 143 cm²
C. 91 cm²
D. 52 cm²
Parallelogram A B C D with side D C parallel to side A B and side A D parallel to side B C. Point F is between points D and C and connects to point B with a dotted segment. Point E is between points A and B is connected to point D with a dotted segment. D F B E is a rectangle with all right angles. D F is 4 centimeters. F C is 7 centimeters. E B is 4 centimeters. A E is 7 centimeters. D E is 13 centimeters.
Answer:52cm
Step-by-step explanation: