Answer:
y = 0.8
Step-by-step explanation:
3x - 2(6 - x) = 7x + 2(5 + x) - 6
What is the answer
Answer:
x= -4
Step-by-step explanation:
Answer: x = -4
Step-by-step explanation:
first, we remove the parentheses.
3x - 12 + 2x = 7x + 10 + 2x - 6
then, we cancel equal terms.
3x - 12 = 7x + 10 - 6
then, we calculate.
3x - 12 = 7x + 4
next, we move the terms.
3x - 7x = 4 + 12
then, we collect like terms and calculate.
-4x = 16
finally, we divide both sides.
x = -4
2. Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, is the first term, n is the term number and d is the common
difference
A(n) = 2 - 1 + (n - 1)d
A(n) = a + (n - 1)d
A(n) = a + (n)(d - 1)
O A(n) = a + (n + 1)d
Answer:
A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.
Step-by-step explanation:
Need help ASAP highschool level math
Answer:
The solution for the system of equations is (2, 4). This means that for February, both the number of imports and the number of exports was 4.
Step-by-step explanation:
Again, remember that the solutions for a system, in this case two charts, are where the outputs (exports) are the same.
We can see that the exports for both f(x) and g(x) are the same for the month of February (second month).
This means that the solution to our system of equations is (2, 4).
So, the solution means that for the second month February, the number of imports was equivalent to the number of exports: both are 4.
(And lastly, out of the four months given, only February had the same number of imports and exports.)
The area of triangle ABC is 4 root 2. Work out the value of x
Answer:
x ≈ 2.4
Step-by-step explanation:
Area of the triangle = 1/2 absin theta
Find the diagram of the triangle attached
a = 2x-3
b =x+2
theta = 45°
Substitute and find x
4√2 = 1/2(2x-3)(x+2)sin45
8/√2 = (2x-3)(x+2)(1/√2)
8 = (2x-3)(x+2)
Expand
8 = 2x²+4x-3x-6
2x²+x-6-8=0
2x²+x-14 = 0
x = -1±√1²-4(14)(2)/2(2)
x = -1±√1+112/4
x = -1±√113/4
x = -1+10.63/4
x = 9.63/4
x = 2.4
The value of x is 3.075.
Given that,
The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,
and [tex]\theta[/tex] is 45 degrees.
The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).
We have to determine
The value of x.
According to the question
The area of the triangle is determined by the following formula,
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]
Substitute all the values in the formula
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]
[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]
The value of x can not be negative so the value of x is 3.075.
Hence, The required value of x is 3.075.
For more details refer to the link given below.
https://brainly.com/question/15894203
how do i find the length of AC?
Answer:
cos 23 = x/7.8
Step-by-step explanation:
PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.
Answer:
Its oka linden
Step-by-step explanation:
Just cause
121/2% in to a fraction
9514 1404 393
Answer:
1/8
Step-by-step explanation:
You can replace % with /100 to make it a fraction.
12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8
__
Or, you can reduce the decimal fraction.
12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8
Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?
Answer:
Jack's age: 86, Priscilla's age: 72
Step-by-step explanation:
Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.
Answer:
Jack is 86 years old,
and Priscilla is 72 years old
Step-by-step explanation:
j = Jack
p = Priscilla
j - 14 = p $\Rightarrow$ j = p+14
j+p = 158
By subsituting the value of j ( first equation) into the second equation, we get:
p+14+p = 158
2p+14 = 158
2p = 144
p = 72.
So, j = 86
ALEKS MATH HOMWORK: ALGEBRA 2 PLEASE HELP ME I WILL GIVE BRAINLEST TO WHO EVER ANSWERS FIRST CORRECTLY
Answer:
x³ + x² + [tex]\frac{9}{x-7}[/tex]
Step-by-step explanation:
Traditionally, the earth's surface has been modeled as a sphere, but the World Geodetic System of 1984 (WGS-84) uses an ellipsoid as a more accurate model. It places the center of the earth at the origin and the north pole on the positive z-axis. The distance from the center to the poles is 6356.523 km and the distance to a point on the equator is 6378.137 km.
A) Find an equation of the earth's surface as used by WGS-84.
B) Curves of equal latitude are traces in the planes z = k. What is the shape of these curves?
C) Meridians (curves of equal longitude) are traces in planes of the form y=mx. What is the shape of these meridians?
Answer: You are smart, figure it out yourself
Step-by-step explanation:
10. Sarah finances $549,000 with a 30/6 balloon mortgage at 5.35%. How much will she pay for principal and interest over the life of the loan? (3 points)
$715,175.04
O $713,297.14
O $717,393.12
O $719,607.40
Answer:
$717,393.12
Step-by-step explanation:
The 30/6 balloon mortgage means that she would make monthly payments for the first six years, while the balance outstanding after 6 years is paid by making one large payment.
The 30 implies that monthly payment should be computed on the basis it is a 30-year mortgage.
Loan amount=monthly payment*(1-(1+r)^-n/r
loan amount=$549,000
monthly payment=the unknown
r=monthly interest rate=5.35%/12=0.004458333
n=number of monthly payments in 30 years=30*12=360
549000=monthly payment*(1-(1+0.004458333)^-360/0.004458333
549000=monthly payment*(1-0.201607475)/0.004458333
549000=monthly payment*0.798392525/0.004458333
monthly payment=549000*0.004458333/0.798392525=$ 3,065.69
Total monthly payments for6 years=$ 3,065.69*12*6=$220,729.68
The ballon payment is the present value of monthly payments for 24 years remaining
Financial calculator:
N=288(24*12)
PMT=3065,69(monthly payment)
I/Y=5.35/12(monthly interest rate)
FV=0(balance after payments is nil)
CPT PV=$496,663.41
Total payments=$496,663.41 +$220,729.68=$717,393.09
Solve -2(3a-2b) in Distributive Property
Answer:
I think it is -2*3a - (-2b)
sorry if it is incorrect
What is the product of 4 and 8V200 in simplest radical form?
Answer:
320√2
Step-by-step explanation:
4 * 8√200
= 4 * 8√2√100
= 32 * √2 * 10
= 320√2
Emily and Miranda are standing outside. Emily is 5 feet tall and casts a shadow of 28 inches. Miranda's shadow is 29.4 inches long. Approximately how tall is Miranda?
Answer:
5.25ft
Step-by-step explanation:
i got the question right so thats it
Answer:
5 1/4
Step-by-step explanation:
5 1/4 to decimal form is 5.25
what is the value of 0.48
Answer: 48% 48/100
depends on what you are asking for
Step-by-step explanation:
Answer:
Simplified: (48÷4)(100÷4) = 1225 when reduced to the simplest form. Fraction: 48/100, in simplest form, is 12/25. Percentage: 48%.
Step-by-step explanation:
125% • n=45..............
Answer:
125% = 1.25 x 45 = 56.25
Step-by-step explanation:
First 125% as a decimal is 1.25 and the . means multiply if n=45 so 1.25 x 45 = 56.25
What percent of 40 is 14?
First translate the question into an equation.
"What percent" means x/100, "of 40" means times 40, "is 14" equals 14.
So we have (x)(40) = 14 or 40x = 14.
Dividing both sides by 40, we find that x = 0.35.
Now, we want to write our answer as a percent.
So we move the decimal 2 places to the right and we have 35%.
Jermey swims 10 laps in 15 minutes. How many minutes per lap is that?
Answer:
1,5
Step-by-step explanation:
Answer:
1.5 minutes
Step-by-step explanation:
If he swims 10 laps in 15 minutes, then the answer can be found with the ratio 15 : 10. Simplifying the ratio, it becomes 1.5 : 1, or 1.5 minutes per 1 lap
You have two cats. Each cat has a litter of K kittens. Write an expression that describes a total number of cats and kittens you have.
If 4 dollars can be exchanged for 114.12 Russian rubles, how many Russian rubles can be obtained for 1500 dollars?
Answer:
42,795
Step-by-step explanation:
114.12/4=28.53
28.53x1500=42,795
Paul says the slope of the line is zero
Phoebe says the slope of the line is undefined
A. Paul
B. Phoebe
Why did you use that answer?
Answer:
B. Phoebe
Step-by-step explanation:
Let's find the slope of the line that passes through (12, 5) and (12, 9).
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 5}{12 - 12} = \frac{4}{0} [/tex] = undefined.
14 can't be divided by zero. Therefore, it is concluded that the slope of the line is undefined.
Therefore, Phoebe is correct.
y = (x – 6)2 - 4
Find the inverse
Answer:
y = (x + 16)/2
Step-by-step explanation:
y = (x - 6)2 - 4 Switch the x and y variables
x = (y - 6)2 - 4 Solve the (y - 6)2
x = 2y - 12 - 4 Combine like terms
x = 2y - 16 Isolate the y variable
x + 16 = 2y
y = (x + 16)/2 <----- This is your answer
Hope this helps!
Use the exchange rate £1 = $1.38 to convert $276 into £.
Answer:
£200
Step-by-step explanation:
15 cm
16.6 cm
area
cm2
Answer:
357.1573 (If you don't round)
Step-by-step explanation:
To find area of a rectangle is to multiply length by width, which in this situation would be 15 by 16.6, which is equal to 249. Next, we need to add this to the area of the semicircle. The area of a semicircle is equal to 1/2 * pi * radius^2 (Because a semicircle is half a circle and a circle's area is pi * radius^2). The radius is equal to half the diameter, which in this case is 16.6. 16.6/2 = 8.3, so the radius is 8.3. If we plug this into the equation, we get that 108.1573 is the area of the circle (If you use 3.14 as pi). 108.1573 + 249 is equal to 357.1573.
Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes,and a watermelon that weighed 6.78 pounds.
What is the total weight, in pounds, of the fruit that Shawn bought last week?
Answer:
not sure but i think it should be 10.54
33/50
13/20
18/25
51/75
3/5
least to greatest
Answer:
3/5, 13/20, 33/50, 51/75, 18/25
least greatest
Step-by-step explanation:
in decimal form:
.6 .65 .66 .68 .72
least greatest
Which is the better buy 30lb 25.20 20lb 17.20
Answer:
depends on what your using it for but i think the 2 one
Step-by-step explanation:
Can somebody plz help!!
Answer:
A
Step-by-step explanation:
there are 4 columns and 1 drama so it equals 1/4
Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 6, vertex B is on ordered pair 6 and 1, and the vertex C is on ordered pair 2 and 1. It is twice the area of a rectangle of length 4 units and width 5 units. It is one-half the area of a rectangle of length 4 units and width 5 units. Correct Answer It is twice the area of a square of side length 5 units. It is one-half the area of a square of side length 5 units.
Answer:
Hello there! This answer would be.. It is one-half the area of a rectangle of length 4 units and width 5 units.
Answer:
What Livv said :)
Step-by-step explanation:
The probability of rolling a sum of 5 from a pair of dice is. What are your odds in favor of rolling a sum of 5?
Answer:
1/9
Step-by-step explanation: