Answer:
1)9 2)18 3)9. 4)4. 5)carpeting
Step-by-step explanation:
1) divide 63 by 7 = 9
2)multiply 54 by 2 = 108 total weight of the boxes then divide 108 by 6 to get 18
3) 75 -30 to get remaining amount which is 45 then divide by 5 to get how much he will pay each month which is 9
4 24- 12= 12 the remaining for the 3 and divide by 3 to get 4
5) multiply 6 * 9 which is $54 which is cheaper than the $81
Write the equation of a line in standard form that is perpendicular to y = -⅔ x + 4 and goes through the point (3,1).
—3/2 X + Y = —7/2
This is the standard form
a car traveling at 87 km/h and a bus leave a toll booth at the same time. twenty minutes later the bus is 3 km farther from the toll booth than the car. what is the average speed of the bus
Answer:
96 km/h
Step-by-step explanation:
Speed of car = 87 km/h
Time = 20 minutes = [tex]\frac{20}{60} = \frac{1}{3}\ hrs[/tex]
Distance traveled by bus = 3 km more than that of traveled by car
To find
Average speed of bus = ?
Solution:
Formula for distance traveled is given as:
[tex]Distance = Speed \times Time[/tex]
So, distance traveled by car in 20 minutes = 87 [tex]\times \frac{1}3[/tex] = 29 km
As per given statement, distance traveled by bus = 29 + 3 = 32 km
Time taken = [tex]\frac{1}{3}\ hrs[/tex]
Using the formula:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Speed of the bus =
[tex]\frac{32}{\frac{1}3} = \bold{96\ km/h}[/tex]
*Alexandra compro fruta por 12.570 y carne 27.425 ¿ cuánto dinero mas le costó la carne que le fruta?
Answer: 14.855
Step-by-step explanation: 27.425 - 12.570 = 14.855
I NEED HELP WITH THIS QUESTION PLEASE ? :(
Answer:
x=42
Step-by-step explanation:
Match each system of linear equations with the correct number of solutions
Answer:
Hey there!
The first equation has no solutions, as it is parallel lines.
The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.
The third equation is just one solution.
Let me know if this helps :)
Answer:
1 - No solution
2 - Infinitely many solutions
3 - One solution
Step-by-step explanation:
Hey there!
Well to find if there is no solution, one solution, or infinitely many we need to look at the slope and y intercept.
1) - No solution
This is no solution because both slopes are the same meaning they are parallel meaning they have no solution.
2) - Infinitely many solutions
We need to convert into slope-intercept.
y = -x + 4
y = -x + 4
Since both slopes and y-intercepts are the same they overlap meaning they have infinite solutions.
3) - One solution
Slope-intercept,
y = -3x + 11
y = -1/3x + 1/3
Because both slopes are y-intercepts are different they have only one solution.
Hope this helps :)
PLEASE HELP!
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Refer the attached image for the answer
HOPE SO IT HELPS YOU
Find the measure of the missing angle.
156°
a =
Answer:
Below!
Step-by-step explanation:
A straight line = 180 degrees, so all you need to do to find angle a is to subtract 156 from 180!
180 - 156 = 24 degrees
Hope this helped!
Help, I need this answered soon
Answer:
9.
Step-by-step explanation:
45 / [8(5 - 4) - 3]
= 45 / (8 * 1 - 3)
= 45 / (8 - 3)
= 45 / 5
= 9.
Hope this helps!
It fractional equation should be solve in quadric equation
x+ 7/x =9
Answer:
0.86, 8.14
Step-by-step explanation:
x+ 7/x =9, where x≠0x^2+7= 9x multiply each term by x to get rid of fractionx^2 - 9x + 7= 0 solving as normal quadratic equationx= (9 ± √ (9^2 - 4*7)) / 2x= (9 ± √53) /2 x≈ 0.86x≈ 8.14Peter has one of each of the following coins in his pocket: a penny, a nickel, a dime, a quarter, and a half-dollar. Four of these coins are taken out of the pocket and the sum of their values is calculated. How many different sums are possible?
Answer:
10
Step-by-step explanation:
This is a combinations problem, involving factorials.
5!/3!*2!=5*4/2=20/2=10
The different sum of the 4 coins from the list of 5 coins is an illustration of combination or selection. There are 5 different possible sums.
Given
[tex]n = 5[/tex] --- number of coins
[tex]r = 4[/tex] --- coins to be selected to calculate sum
For the sum of the coin value to be calculated, the 4 coins must be selected. This means combination.
So, we make use of:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
This gives
[tex]^5C_4 = \frac{5!}{(5 - 4)!4!}[/tex]
[tex]^5C_4 = \frac{5!}{1!4!}[/tex]
Expand
[tex]^5C_4 = \frac{5*4!}{1*4!}[/tex]
[tex]^5C_4 = \frac{5}{1}[/tex]
[tex]^5C_4 = 5[/tex]
Hence, there are 5 different possible sums.
Read more about combinations at:
https://brainly.com/question/15401733
what is the degree of 5xyz
Answer:
3
Step-by-step explanation:
Add up the exponents of the variables
5xyz = 1+1+1 = 3
The degree is 3
Answer:
First, just to recap, a degree of a polynomial is the highest power that it is raised to.
For example, 2x^4 + 3x - 7, is a 4th degree polynomial.
5xyz is a has a degree of 3, since the highest power that it is raised to is to the power of 1, and has 3 terms.
Let me know if this helps!
At a school carnival is the diameter of the map of a trampoline has 12 feet and the diameter of the metal frame is 14 feet what is the length in feet of the metal frame that's around the trampoline use 3.14 for pie and round the answer to the nearest 10th
Answer:
The length of the steel frame will be approximately 44 feet
Step-by-step explanation:
We can solve this problem by calculating the circumference of the steel frame. We are working with the fact that the steel frame was welded into a circular shape.
The circumference of the steel frame can be calculated using
[tex]circumference = \pi \times d[/tex]
where d diameter of the steel frame = 14 feet
[tex]circumference = 3.14 \times 14=43.96ft[/tex]
Therefore, the length of the steel frame will be approximately 44 feet
Z= -3 - 8i Find the angle θtheta (in degrees) that z makes in the complex plane. Round your answer, if necessary, to the nearest tenth. Express θtheta between -180 180 degrees.
The angle is negative to indicate a clockwise rotation.
======================================================
Explanation:
Z = -3 - 8i is in the form z = a+bi with a = -3 and b = -8
In the complex plane the point (a,b) represents the location of z = a+bi
Define three points with the locations
P = (a,b) = (-3,8)
Q = (0,0)
R = (10,0)
The angle PQR is the angle theta we're looking for. This is the angle formed between the positive x axis and the terminal point (a,b)
Use the arctan function to find theta
theta = arctan(b/a)
theta = arctan( (-8)/(-3) )
theta = 69.4439547804166
theta = 69.4 degrees approximately
Note how this theta value is in quadrant Q1, but (a,b) = (-3, -8) is in Q3
So we need to add 180 degrees to adjust this error.
69.4+180 = 249.4
and we're now in the proper quadrant. We would stop here if your teacher did not put the restriction that theta must be between -180 and 180.
However, this restriction is in place so we need to find the difference of 360 and 249.4 to get 360-249.4 = 110.6
-----------
The angle 249.4 degrees is coterminal to -110.6 degrees. They both point in the same direction.
angle 249.4 degrees is found by starting pointing directly east and rotating 249.4 degrees counterclockwise
angle -110.6 degrees is found by starting directly east and rotating 110.6 degrees clockwise.
Check out the diagram below. I used GeoGebra to make the diagram.
Find the conjugate of 2 - 5i and then calculate the product of the given complex number and its conjugate. (1 point)
Answer:
29
Step-by-step explanation:
conjugate of a+ib=a-ib
conjugate of 2-5i=2+5i
(2+5i)(2-5i)=2²-(5i)²=4-25i²=4-25(-1)=4+25=29
Answer:
29
i had the same question and 29 was the right answer
if the probability of david passing his exam is 1/4 what is the probabilty of him failing
Answer:
3/4
Step-by-step explanation:
4/4-1/4=3/4
i hoped this helped :)
Answer:
3/4
Step-by-step explanation:
For a one-to-one function, y = f(x), then x = f-1(y). True or false. Explain your answer.
Answer:
True
Step-by-step explanation:
For one-to-one function, we have for all x₁ and x₂, where x₁ ≠ x₂, then, f(x₁) ≠ f(x₂)
Which gives;
f
Where f(x₁) = y₁, the result of the inverse of the f⁻¹(y₁) = x₁
By definition the inverse of a one-to-one function, f⁻¹ is a distinctive function whose domain is given by f⁻¹(f⁻¹(x)) = x for the values of x in f
Therefore, for one-to-one functions, f⁻¹(f⁻¹(x₁)) = x₁
Where f⁻¹(x₁) = y₁, is the inverse or reverse of a function f(x₁), therefore, we have;
f⁻¹(y₁) = x₁
Which proves the statement that y = f(x) then x= f⁻¹(y).
.......plz answer it plz
Answer:
a: x=90 b: x=45 y=45 c: y=68 x=68
please help me as soon as you can please
Answer:
f(x) = 5 * ( 8/5) ^x
Step-by-step explanation:
f(x) = a b^x
Let x = 0
5 = a * b^0
5 = a*1
a = 5
Let x = 1
8 = 5 * b^1
Divide each side by 5
8/5 = b
f(x) = 5 * ( 8/5) ^x
A highway measuring 90 feet x 7 feet requires 1/2 a fluid ounce of cleaning situation per square root how much cleaning situation is required to clean the hallway
Answer:
1260 ounce of the fluid.
Step-by-step explanation:
Dimension of hallway = 90 feet × 7 feet
Area of the hallway = 90 × 7
= 630 square feet
Given that 1/2 (0.5) of a fluid ounce is required per square foot, the amount of cleaning situation to clean the hallway can be determined as;
= [tex]\frac{area of hallway}{cleaning situation per foot}[/tex]
= [tex]\frac{630}{0.5}[/tex]
= 1260 ounce
The amount of cleaning situation required to clean the hallway is 1260 ounce of the fluid.
Solve for x.
6(4x+2)= 3(8x+4)
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Radhika answered all the questions and scored 30 marks though she got 10 correct answers. How many incorrect answers had they attempted?
Answer:
10 incorrect answers
Step-by-step explanation:
From the information given, you can say that 5 marks for the number of correct answers minus two marks for the number of incorrect answers is equal to 30 that is the score that Radhika got:
(5*10)-2x= 30, where x is the number of incorrect answers.
Now, you can solve for x:
50-2x=30
50-30=2x
20=2x
x=20/2
x=10
According to this, the answer is that they attempted 10 incorrect answers.
Right now Jack’s age is greater than twice Fred’s age by 4. After 8 years, the sum of their ages is 59. Find Fred’s age.
Fred's age is 13 years
Let
Fred's age = x
Jack's age = 2x + 4
After 8 years:
Fred's age = x + 8Jack's age = 2x + 4 + 8= 2x + 12
Sum of their ages = 59Sum of their ages = Fred's age + Jack's age
59 = (x + 8) + (2x + 12)
59 = x + 8 + 2x + 12
59 = 3x + 20
59 - 20 = 3x
39 = 3x
x = 39/3
x = 13 years
Therefore, Fred's age = 13 years
https://brainly.com/question/24371832
what's the rational approximation of 15
Answer:
15 / 1
hope that helps uh...☺
20 points thanks :) im kinda stuck lol
1. (a) 0 = x² + 4x - 12 (Switch Sides)
x² + 4x - 12 = 0 (Factor Expression)
(x - 2)(x + 6) = 0 (Apply the Zero Factor Principle)
x = 2, and x = - 6
x - intercept : (2, 0) and ( - 6, 0)
(b) y = (0)² + 4(0) - 12 (Simplify)
y = 0 + 4 * 0 - 12 = 0 + 0 - 12 = - 12
y - intercept : (0, - 12)
(c) Our vertex belongs to an upward facing parabola, and hence it will be a minimum, of ( - 2, - 16).
2. Seth's solution is not accurate. He did the calculations accurately, and ended up with x = 3 and x = - 2. However he forgot to substitute those values back into the equations y = x² + 3x - 5 and y = 4x + 1, solving for the y values. Instead of being ( - 2, 0) and (3, 0) it should have been (3, 13), ( - 2, - 7)...
y = (3)² + 3(3) - 5 = 9 + 9 - 5 = 18 - 5 = 13,
y = 4( - 2) + 1 = - 8 + 1 = - 7
Hence we get the solutions (3, 13) and ( - 2, - 7).
Helpppppppppppppppp plzzz
Answer:
$0.56, or 56¢.
Step-by-step explanation:
According to the picture, there are two dimes, two nickels, a penny, and a quarter.
A penny is worth $0.01.
A nickel is worth $0.05.
A dime is worth $0.10.
A quarter is worth $0.25.
2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.
So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!
Hope this helps!
I need domain and range
Answer:
-3 and infinity
Step-by-step explanation:
Can someone tell me if this is correct? I said neither is correct.
Answer:
Neither is correct
Answer:
You are right.
Step-by-step explanation:
Neither transformation gives the triangle FGE.
Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What should be the degree measure of the angle formed at the center by each shaded part?
Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
Please answer this, I don't have much time left!
Answer
1 + 5 ÷ 5
This would equal 2, using BIDMAS.
Kanye buys a dozen donuts for a total of $3.99. He sells the donuts for $0.75 each. If Connie sells out his inventory of donuts, how much profit does he make?
Answer:
Step-by-step explanation:
We can find the answer by multiplying the number of donuts, 12, by the price he sells each donut for, $0.75, and subtracting that answer from the price he paid.
By making the equation 12 × 0.75 = $9 - $3.99 we can find out that he makes $5.01 in profit.