y=7/4x-3 or y=1.75x-3
What is the value of x?
3
4
5
6
Answer:
x=3
Step-by-step explanation:
2×0.05=0.1
0.09x ÷ 0.09 = 1
2+x = 2+1 = 3
HENCE 3 IS THE ANSWER
what is the slope of a line parallel 18x+15y=90
Answer:
-6/5
Step-by-step explanation:
Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.
Answer:
[tex]\displaystyle -1\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\displaystyle 18x + 15y = 90 \hookrightarrow \frac{15y}{15} = \frac{-18x + 90}{15} \\ \\ \boxed{y = -1\frac{1}{5}x + 6}[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −1⅕ remains as is.
I am joyous to assist you at any time.
For each of the following questions, draw a diagram to explain your answer.
a. How many fourths are in one half?
b. How many sixths are in two thirds?
c. How many fourths are in six eighths?
d. How many halves are in 3 5/10
Answer:
fourth are in one half
Step-by-step explanation:
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Convert 40 ounces into pounds. Round your answer to the nearest tenth.
Hint There are 16 ounces in one pound.
A. 2.5 pounds
B. 640 pounds
C. 0.4 pounds
PLS ASAPPP
Answer:
Step-by-step explanation:
given the series 1+2+4+8+.... find the 8th term
Consider the [tex]n[/tex]-th partial sum of a geometric series with first term [tex]a[/tex] and common ratio [tex]r[/tex] between consecutive terms. Then the sum of the first [tex]n[/tex] terms of this series is
[tex]S = a + ar + ar^2 + \cdots + ar^{n-1}[/tex]
Multiply both sides by [tex]r[/tex], then subtract [tex]rS[/tex] from [tex]S[/tex] and solve for [tex]S[/tex].
[tex]rS = ar + ar^2 + ar^3 + \cdots + ar^n[/tex]
[tex]S - rS = a - ar^n[/tex]
[tex]\implies S = \dfrac{a(1-r^n)}{1-r}[/tex]
In the given series, we have [tex]a=1[/tex] and [tex]r=2[/tex]; then the sum of the series with [tex]n=8[/tex] terms is
[tex]S = \dfrac{1-2^8}{1-2} = 2^8 - 1 = \boxed{255}[/tex]
Caleb was recently hired for a job with an annual income of $35,000. Using the federal income rate of 15 %, what amount should Caleb expect to
pay in federal income tax?
Answer:
answer will be 5250-------------------------------
[tex]35000 \times \frac{15}{100} = 350 \times 15 = 5250[/tex]
Determine the number of zeros of the polynomial function.
f(x) = x3 + 3x2 + 2
Answer:
3
Step-by-step explanation:
the fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.
f(x) = x³ + 3x² + 2 ← is a polynomial of degree 3
Then number of zeros is 3
A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile. If the total cost of hiring a vehicle on one occasion is 170, how many miles were driven
Answer:
85
Step-by-step explanation:
Because 170 divided by 2.
The number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
Let x be the total number of miles:
From the question:
y be the total cost of hiring
y = 20 + 2x
y = 170
170 = 20 + 2x
150 = 2x
x = 150/2
x = 75 miles
Thus, the number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
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3. A playground designer wanted to place a fountain so that it was close to both the slide and the swings.
Refer to the coordinate grid shown. Each unit on the grid represents 5 ft.
(a) Find the distance from the fountain to the slide. Show your work.
Answer:
10ft
Step-by-step explanation:
Hi! Thanks for using Brainly! My work and explanation is shown below!
Equation Used to Solve:
5x
Solve:
5(2)=10
The slide is 10ft away from the fountain since each unit equal 5 ft, each increase by 1 on the y-value is 5ft, and each increase by 1 on the x-axis is 5ft, meaning that if the slide is at (-2, 0) and the fountain is at (-2, -2) there was an increase of 10ft total.
(30 pts.) I have the answer I just need someone to show me the steps, please!
Which bowl holds more water if it is filled to a depth of four units?
The hyperboloid z= √(1+x^2+y^2) for 1≤ z ≤ 5
The answer is: The hyperboloid holds more water with a volume of [112π/3]
I just need an explanation!!
5 stars and marked the brainiest if the explanation is done well!!
paraboloid: v = ∫[0,4]πz dz = 8π cone:
v = ∫[0,4]πz^2 dz = 64/3 π
hyperboloid: v = ∫[1,5]π(z^2-1) dz = 112/3 π
when you see that the cone's radius at the top of the water is √8, while the paraboloid's is only 2.
hope it helps.
Determine if 0.0590222222222222... is rational or irrational and
give a reason for your answer.
Answer:
Rational
Step-by-step explanation:
It can be represented as a fraction.
332/5625
0.0590222222222222... is a rational number.
We have,
0.0590222222222222.......
We need to determine whether this number is rational or irrational.
What are rational numbers and irrational numbers?A rational number is a number that can be written in p/q form where q≠0.
Some rational numbers are terminating.
Example: 45/2 = 22.5
Some rational numbers are recurring numbers.
Example: 556/3 = 185.33333333333...
The irrational number are those numbers that are non-terminating and non-recurring.
Example: 22/7 = 3.14285714285.....
We have,
0.0590222222222222......
Where 2 is recurring.
So it is a rational number.
Thus 0.0590222222222222... is a rational number.
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68-95-99.7 Rule
So
LEARNING OBJECTIVE: Identify the percent of data that is between two values
using a given standard deviation, mean, and the 68-95-99.7 rule.
68
At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50
with a standard deviation of $0.10.
Assuming the data is normally distributed, approximately what percent of
customers are willing to pay between $1.30 and $1.70 for a pint of frozen
yogurt?
T
9514 1404 393
Answer:
95%
Step-by-step explanation:
The given limits differ from the mean by ...
1.30 -1.50 = -0.20
1.70 -1.50 = 0.20
These values are 2 × the standard deviation of 0.10. The 68-95-99.7 rule tells you that 95% of the population lies within 2 standard deviations of the mean.
For this question, that means 95% of customers are willing to pay between $1.30 and $1.70.
My father’s monthly salary is twice what my mother makes in a month. Their combined salary is P27,000
Please help !
Step-by-step explanation:
mother salary: x
father salary:2x
total salary =27000
therefore 3x=27000
so x=900 (divided by 3)
therefore mother salary = 900
father salary=2multiplied by 900=1800
Answer:
Father's monthly salary is P18,000
Mother's monthly salary is P9,000
Step-by-step explanation:
The problem above can be solved by using "algebraic expressions."
Let x be the father's monthly salary
Let y be mother's monthly salary
Formula: x + y = P27,000
If father's monthly salary is twice than what mother makes, then: x = 2y, which means,
2y (father's salary) + y (mother's salary) = P27,000
First step: 2y + y = P27,000
Second step: 3y = P27,000
Third step: y = [tex]\frac{P27,000}{3}[/tex]
Fourth step: y = P9,000
So, mother's salary is P9,000. This means we can get father's salary:
2y = 2 × P9,000 = P18,000 (this is the value of x)
So, father's salary is P18,000.
If we combine both of their salaries, the product is P27,000.
x + y = P27,000
P18,000 + P9,000 = P27,000
So, this explains the answer.
April
carpeting. The floor is
a. Draw a sketch and label the label the
b. If the carpeting costs $1.75 per square foot, how much will it cost to buy the exact amount of
carpeting needed to cover the entire living room?
RESEALAB
find the volume of the cylinder formed when the rectangle in the figure is rotated about the x-axis.
A. 62.83 units
B. 157.08 units
C. 314.15 units
D. 31.42 units
Answer:
A
Step-by-step explanation:
that means the radius of the left and right circles is 2 units.
and the height of the cylinder is 5 units.
the volume of a cylinder is calculated by first standing it upright on one of the circles, and then the volume is ground area times height.
the area of a circle is pi×r².
so the volume here for us is then
pi×2²×5 units = pi×4×5 = pi×20 = 62.83185307... units
and that makes A the correct answer.
write a quadratic function h whose only zero is -4
Step-by-step explanation:
[tex]0 - 4 = x = x + 4 = 0[/tex]
[tex]0 = x = 1.11111111111...[/tex]
This equation ends completely without the use of zero
The lunch lady pushes a 100 kg zombie with 300 N of force. How much is the zombie accelerated? How do you solve is is division or multiplication
Step-by-step explanation:
Use Newton's second law. Force equals mass times acceleration.
F = ma
300 N = (100 kg) a
a = 3 m/s²
Find the value of x
A. 25°
B. 85°
C. 75°
D. 105°
Answer:
75⁰ Please refer to the picture above for the answer
helppppppppp.........................
Answer:
you find the solution to each then arrange from smallest to largest and you'll get the answer
Answer:
D
Step-by-step explanation:
A: 2346
B: 357
C: 168
D: 1239
E: 12345
when put in order from smallest to largest, the order is:
C, B, D, A, E
The middle is D, so the answer is D.
Convert MCCCXL{roman numerals} into numbers
Answer:
one thousand three hundred and forty
Step-by-step explanation:
M stands for one thousand
C stands for one hundred
C stands for one hundred
C stands for one hundred
XL stands for forty
Answer:
1340
Step-by-step explanation:
M = 1000
C = 100, since he have 3 C's, it becomes 300
L = 50
X = 10
The X is behind the L so the value is subtracted by 10.
L(50) - X(10) = XL(40)
A train ride is 8 hours long every 2/3 hours the conductor checks on the passengers how many times during the trip does he check on the passenger Please show work
Answer:
The conductor checked on the passengers 12 times.
Step-by-step explanation:
To find how many times the conductor checks on the passengers, you must do
8 divided by 2/3
because you have to find how many 2/3 (times checked by conductor) are in 8 hours.
8/1 ÷ 2/3
Switch the two numbers of 2/3 or find the reciprocal which is
3/2
and change ÷ to ×
Now solve.
8/1 x 3/2 = 24/2 (8x3=24 and 1x2=2)
which Simplified is
12/1 or 12
Check your answer:
12/1 x 2/3 = 24/3 = 8
The conductor checked on the passengers 12 times.
combine like terms in the expression 2y-8+3y+7-y
Answer:
I think the answer is( =4y-1)
Step-by-step explanation:
2y-8+3y+7-y
=2y+3y-y-1
=4y-1
here a subtraction problem that has been solved incorrectly 21-9=11 what is the correct way
Evaluate 4(x-3) + 5x-x^2 for X=2
Answer:
Your answer is: x = 2
So this is your equation answer: x=2 is 2
Step-by-step explanation:
Hope this helped : )
A file that is 242 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
Answer:
45.3 megabytes
Step-by-step explanation:
242 x 18.7%
= 242 x 0.187 = 45.254 = 45.3 megabytes
Katie’s cell phone plan includes 400 peak minutes. Last month Katie used 240 peak minutes. This month Katie used 300 peak minutes. What was the percent increase in the number of peak minutes Katie used? HELP ASAP
Answer:
25%
Step-by-step explanation:
So you subtract the number of peak minutes Katie used last month from the number of peak minutes Katie used this month. Divide the difference by the number of peak minutes Katie used last month. Then multiply by 100 to find the percent increase. Katie used 25% more peak minutes this month than last month.
Hope i helped
Answer:
25%
Step-by-step explanation:
PLEASE HELP!
The endpoints of CD are C(1,-6) and D(7,4). Find the coordinates of the midpoint M.
Answer:
(4, -1)
Step-by-step explanation:
Given:
C(1, -6)
D(7, 4)
Required:
Midpoint of CD using [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
SOLUTION:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] C(1, -6) = (x_1, y_1) [/tex]
[tex] D(7, 4) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{1 + 7}{2}, \frac{-6 + 4}{2}) [/tex]
[tex] M(\frac{8}{2}, \frac{-2}{2}) [/tex]
[tex] M(4, -1) [/tex]
create a truth table for The Logical statement
In the third column, the sequence is: F, T, F, T
You flip whatever you see in the q column since ~q means "not q".
--------------
In the fourth column is: T, T, T, F
The general form of p -> q is false if p is true while q is false; otherwise, it is true. So ~q -> p is false when ~q is true and p is false.
7. In how many ways can 7 different flowers be arranged in a row?
Q2. The sum of the 3rd term to the 7th in a geometric series is 3267. Find the first term if the common ratio is 3. (3 marks)
Answer:
142884, Answer,
Step-by-step explanation:
The first term of a GP is 7, the ratio is 3. What is the sum of the 7th and 10th term?
Solution: In the given GP, a = 7 and r = 3.
The sum of the 7th and the tenth terms
= T7 +T10 = ar^6 + ar^9 = ar^6[1+r^3]
= 7*3^6[1+3^3]
= 5103*28
= 142884, Answer,
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The first term of geometric series is, a = 363/82
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Give that;
Sum of T₃ and T₇ of geometric series = 3267
And, common ratio(r) = 3
Hence, To find first term (a) we can use formula as;
Tₙ = arⁿ⁻¹
Now, put the value on formula;
T₃ = a(3)³⁻¹
T₃ = (3)²a
And, T₇ = a(3)⁷⁻¹
T₇ = (3)⁶a
Since, T₃ + T₇ = 3267
Hence,
(3)²a + (3)⁶a = 3267
3²(a + 3⁴a) = 3267
(a + 3⁴a) =363
a + 81a = 363
82a = 363
a = 363/82
Thus, The first term of geometric series is, a = 363/82
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