18n + 12 = 27n + 3
5(x + 7) = 6(x - 5)
Solve for the variables SHOW WORK
Answer:
n = 1x = 65Step-by-step explanation:
Given
18n + 12 = 27n + 3 5(x + 7) = 6(x - 5)Solving for variables
1
18n + 12 = 27n + 3 18n - 27n = 3 - 12-9n = -9n = -9/-9n = 12
5(x + 7) = 6(x - 5)5x + 35 = 6x - 305x - 6x = -30 - 35-x = -65x = 65Answer:
18n + 12 = 27n + 3
12-3=27n-18n
9=9n
n=9/9=1
5(x + 7) = 6(x - 5)
5x+35=6x-30
35+30=6x-5x
65=x
:.x=65
how can you use the pythagreom therem to solve real-world problem
Answer:
This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope.
Answer:
Architecture, Engineering, Astronomy, etc.
Step-by-step explanation:
Engineers use the Pythagorean Theorem by knowing the height of the roof and the length for it to cover, and it will result in the diagonal length of the roof's slope. Architects use the Pythagorean Theorem to calculate the heights of buildings and the lengths of walls. Astronomers sometimes use the theorem to calculate the paths of spacecraft, including rockets and satellites.
99+99+99+99 x 100 -50 +100 = ?
Answer:
10,247
Step-by-step explanation:
yw bro:)
Answer:
10,247
Step-by-step explanation:
10,246 + 1 = 10,247
Joel's Taxi Service charges a flat rate of $15 plus $0.10 for each mile. Write an equation in function notation and find out how much it would cost to travel 25 miles.
Answer: It would cost $17.5 travel 25 miles.
Step-by-step explanation:
Given: Flat rate = $15
Charge per mile = $0.10
Total cost = Flat rate + (Charge per mile) (Number of miles)
Let x= Number of miles traveled.
So Total cost = 15 +0.10x
Put x= 25 miles
Total cost = 15 +0.10(25)
= 15+2.5 = $17.5
Hence, it would cost $17.5 travel 25 miles.
Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
−4x^2 + 6x - 1=0
Answer:
Value of discriminant is 20
Step-by-step explanation:
Formula of discriminant is:
[tex]D=b^2-4ac[/tex]
so our equation is
[tex]-4x^2+6x-1=0[/tex]
where a = -4, b = 6 , c = -1
so our discriminant becomes,
[tex]D=b^2-4ac\\D=(6)^2-4(-4)(-1)\\D=36-16\\D=20[/tex]
Since the discriminant is positive we have two distinct real number solutions or two distinct roots, and to solve the we just use the quadratic formula and get the two different values of x.
[tex]x_1=0.191\\x_2=1.309[/tex]
I have attached a graph also to confirm your answer, you use an online graphing calculator to verify it as well.
convert: ___minutes= 7/10 hour
How many solutions does the nonlinear system of equations graphed below
have?
Answer:
two which is B
Step-by-step explanation:
the lines only intersect twice
Malika has a credit card balance of $632.28. Her line of credit on this card
is $5,000. What is her available credit? *
Cut out the shapes of NETS of Cube, Cuboid and Cylinder as per the dimensions given below and find its Total Surface Area and Lateral Surface Area Dimensions of Cube = 5cm x 5cm x 5cm Dimensions of Cuboid = Length=10cm, Breadth=5cm, Height = 4cm Dimensions of Cylinder= Diameter 7cm and height 10cm
Answer:
a. i. 150 cm³ ii. 150 cm³
b. i. 220 cm³ ii. 120 cm³
c. i. 297 cm² ii. 220 cm²
Step-by-step explanation:
a. For the cube
Dimensions of Cube = 5cm x 5cm x 5cm
Length of side = 5 cm
i. Total surface area A = 6L² where L = length of side = 5 cm
So, A = 6 × (5 cm)²
= 6 × 25 cm³
= 150 cm³
ii. Lateral surface area A' = 4L²
= 4 × (5cm)²
= 4 × 25 cm²
= 100 cm²
b. For the cuboid
Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm
i. Total surface area A = 2(lb + lh + hb)
= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)
= 2(50 cm² + 40 cm² + 20 cm²)
= 2(110 cm²)
= 220 cm²
ii. Lateral surface area A' = 2(lh + hb)
= 2h(l + b)
= 2 × 4 cm (10 cm + 5 cm)
= 8 cm × 15 cm
= 120 cm²
c. For the cylinder
Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm
i. Total surface area, A = 2πr(r + h) where r = radius = d/2
A = πd(d/2 + h)
= 22/7 × 7 cm(7 cm/2 + 10 cm)
= 22cm(3.5 cm + 10 cm)
= 22cm(13.5 cm)
= 297 cm²
ii. Lateral surface area A = 2πrh
= πdh
= 22/7 × 7 cm × 10 cm
= 22 cm × 10 cm
= 220 cm²
m=-1 and (-6,12)
help pls
Answer:
y = -x +6
Step-by-step explanation:
i honestly didn't know what form you wanted so i put it in slope-intercept form for you :D
formula for slop-intercept form:
y=mx+b
12 = -1 ( -6 ) + b -----> filled in the m, x and y
12 = 6 + b -----> do PEMDAS
12 - 6 = b -----> moved 6 to the other side to isolate variable
6 = b -----> you found the y-intercept
y = -x + 6 ------> fill the equation in :D
what is the value of (2/4)^-4?
Answer:
16 b plus a is mathematically plus 185 so 15
17. Distance to Work Johnny gets to work in 20 minutes
when he drives his car. Riding his bike (by the same
route) takes him 45 minutes. His average driving speed
is 4.5 mph greater than his average speed on his bike.
How far does he travel to work?
Answer:
2.25 miles
Step-by-step explanation:
When driving a car time taken is 20 minutes. This is equal to 20/60 hours , 1/3 hours / 0.3 hours
When riding a bike , time taken is 45 minutes. This is 45/60 hours , 3/5 hours/ 0.75 hours
The formula for speed is : Speed = Distance covered / time taken
The statement is that the driving speed is greater than biking speed by 4.5 mph
Assuming the distance to work is x miles then;
x/ 0.3 - x/0.75 = 4.5 ------eliminate 0.3 by multiplying each term by 0.3 to get
x- 0.3/0.75 x = 1.35 -------eliminate 0.75 by multiplying each term by 0.75 to get
0.75 x - 0.3 x = 1.0125
0.45 x = 1.0125
x= 1.0125 / 0.45
x = 2.25
A process is making a part that weighs 0.75 oz on average with a standard deviation of 0.05 oz. The upper and lower specifications for the part are 1 oz and 0.5 oz, respectively. Which measure should be used to see how well the process meets its specification limits
Answer:
The correct answer is the process capability index
Step-by-step explanation:
According to the given scenario, the process capability index is the index where it determines the capability or the ability of the process with respect to generating the output or results within the given limits
Therefore as per the given scenario, it represents the process capability index as it fits to the current situation given in the question.
Therefore The correct answer is the process capability index
Select all that apply.
A person breathes 2.5 x 10^-4 in about cubic meters of air per second. How long does it take to breathe in 2.5 cubic meters of air?
Answer:
10⁴ seconds
Step-by-step explanation:
Given that,
A person breathes [tex]2.5\times 10^{-4}[/tex] in about cubic meters of air per second.
We need to find time taken to breathe 2.5 cubic meters of air.
In 1 sec = [tex]2.5\times 10^{-4}[/tex] m³ of air breathe
Let in x seconds, 2.5 m³ of air taken by the person.
[tex]x=\dfrac{2.5}{2.5\times 10^{-4}}\\\\x=10^4\ s[/tex]
Hence, in 10⁴ seconds 2.5 m³ of air is taken by the person.
Which one can it be?
Answer:
sas
Step-by-step explanation:
Answer:
These triangles cannot be proven congruent.
Step-by-step explanation:
The image shows us two triangles with two pairs of congruent sides and one non-included angle. This theorem would be SSA, however, this is not enough to show congruency because the unknown side could be in two different places on the different triangles. Therefore, with this amount of information these triangles cannot be proven congruent.
please help Write the number in standard form
5x10∧4
Find the measure of the indicated angle to the nearest degree
Please show all steps ty
Answer:
71 degrees
Step-by-step explanation:
1. We know that the angle is unknown as demonstrated by '?'
2. The 17 side is opposite of the unknown angle
3. The 18 side the hypotenuse (not in contact with the right angle)
4. Therefore sine will be used where, sine(degree) = opposite/hypotenuse
5. The equation should be sine(degree) = 17/18
6. Since we don't know the degree we bring sine to the left and has a negative power of 1
7. The equation now becomes degree = sine^-1 (17/18)
8. The answer to this is 70.811... which equals 70 degrees and 48 minutes which rounds to the nearest degree of 71
HELPP I HAVE A D IN MATH who has a greater rate of change
Answer:
Cj has a greater rate of change with 13/2
Step-by-step explanation:
CJ: 13 / 2 = 6.5 = y = 6.5 x
Holland: y = 6x
For parties of six or more, a restaurant adds a 20% gratuity (or tip). Ifa
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.
Answer:
$247.37
Step-by-step explanation:
The total dinner bill with a tip for the large party is $177.90.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The gratuity for a large party is 20% of the bill, so we can calculate the gratuity by multiplying the bill by 0.2.
Gratuity = bill x 0.2
Gratuity = 148.25 x 0.2
Apply the multiplication operation, and we get
Gratuity = 29.65
To find the total bill, we add the gratuity to the original bill.
Total bill = bill + gratuity
Total bill = 148.25 + 29.65
Apply the addition operation, and we get
Total bill = $177.90
Hence, the total dinner bill with a tip for the large party is $177.90.
Learn more about Multiplication operations here:
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- 5 represents 5 minutes before a concert starts.
5 represents 5 minutes after the concert starts.
What does zero represent in this situation?
A. The number of people who are sitting after the concert starts
B. The time when the concert starts
C. The number of people who are sitting before the concert starts
D. The length of the concert from beginning to end
Answer:
B. The time when the concert starts.
Step-by-step explanation:
If -5 is five minutes before and 5 is five minutes then 0 would be when it starts.
8.3x2 +0.9xy + 3.6
7.4x2 - 1.7xy + 6.4
Answer:
20.2 + 0.9xy
&
20.2-1.7xy
Step-by-step explanation:
Consider vectors u = (2, 1) and v = (4, -1) with the angle between them equal to 40°. What are the scalar projections
uy and v?
Answer:
Can see anything??
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
edg
yuh help please haha
Answer:
B
Step-by-step explanation:
Plug the coordinates in the answer choices to see if they give you 18.
Option A: 5(5) - 2(3) = 25- 6 = 9. Not it
Option B: 5(4) - 2(1) = 20 - 2 = 18. Works.
It has to be B because we've already tested (5,3) in option A and it wasn't correct.
The sum of twice a number and 15
Is greater than 3
It takes Jenny 1/4 hour to ride her bike 1/2 mile. What is her unit rate of travel in miles per hour?
Answer:
2 mph
Step-by-step explanation:
Since Jenny can do 1/2 of a mile in 1/4th of an hour, she can do twice as many miles, which is 1/2
Sergio earned $350.40 after working 24 hours one week. If Sergio has the same hourly rate, how many hours will he need to work to earn $525.60?
Answer:
36 hours
Step-by-step explanation:
he earns 14.6 per hour
Help Me! ASAP! Which of the follow statements is NOT true?
Answer:
The first one is incorrect
Step-by-step explanation:
I'm sorry if this is wrong...
Answer:
I believe the answer is C.
The total land area of Russia is about 20,000,000 km^2, or 2 x 10^7 km^2.
The total land area of Puerto Rico is about 10,000 km^2, or 2 x 10^2 km^2.
About how many times larger is Russia than Puerto Rico?
A. 2 x 10^-3 times
B. 19,990,000 times
C. 200 times
D. 2 x 10^3 times
Answer:
Im not sure but i think its 200 times
Step-by-step explanation:
Russia is 2 × 10³ times larger than Puerto Rico.
What is Exponentiation?Exponentiation is a method of writing numbers, especially larger numbers, as the power of some number. A number can be written in the exponent form as aᵇ, where 'a' is called the base and 'b' is called the power or exponent.
Total land area of Russia = 20,000,000 km² = 2 × 10⁷ km²
Total land area of Puerto Rico = 10,000 km² = 10⁴ km²
Let X be the number of times that Russia is larger than Puerto Rico.
Then we can write,
Total land area of Russia = X × Total land area of Puerto Rico
2 × 10⁷ km² = X × 10⁴ km²
X = 2 × 10⁷ km² / 10⁴ km²
X = 2 × 10⁷ × 10⁻⁴
X = 2 × 10³
Hence, about 2 × 10³ times larger is Russia than Puerto Rico.
To learn more about Exponentiation, click :
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i need help this makes no sense