Answer:
45n + 60 = 285
Step-by-step explanation:
n=# of weekday classes (this is an unknown value)
45n= each weekday class is 45 mins long, and when you multiply it by "n" which is the number of weekday classes, you will get a total number of minutes.
+60= we add 60 because that is how many mins it takes for the one class on the saturday. there is only one saturday class which means that you dont need a variable attached to it.
=285
this is the total number of mins from last week.
so, the total number of mins from last week has to equal the 60 min class plus however many 45 min classes there are that week.
45n+60=285
and if you really wanted to know how many weekday classes there were that week, n=5
Which of the following is equivalent to : 3x + 6 + 2x + 2 + x
A. 5x + 8
B. 6x + 8
C. 14x
Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answer:
points
Step-by-step explanation:
solve for W
pls show work
w - 1/2 = 5/8
Answer:
w = 9/8
Step-by-step explanation:
Step 1: Add 1/2 to each side of the equation.
Step-2: Quickly step to one side, to avoid being injured as the answer jumps up at you from the paper.
a four-digit number uses each of the digits 1, 2, 3, and 4 exactly once. what is the probability that the number is a multiple of 4? express your answer as a common fraction.
The probability that the number is a multiple of four is 0.25.
we know that if a number is multiple of four then its last 2 digits must be divisible by four.( i.e. ten's and one's places)
We are given only four numbers 1,2,3,4 , which can't be repeated.
So here , in this case , such numbers with last two digits divisible by four are 12,24 and 32 only
Having last two digits ‘12’ ;
the first two digits can be formed using 3 and 4 only . This can be done in (2!) = 2 ways.
Similar case will be happening with 24 and 32 as well.
So the total ways of getting a multiple of four will be = 2 + 2 + 2
= 6 ways
Now total numbers that can be made from given four digits = \(P_{4} ^{4}\)
= 24
So the probability of getting a multiple of four is = 6/ 24
= 0.25
learn more on permutation here :
https://brainly.com/question/24182455
#SPJ4
Cole had 0.8 grams of pepper. Then he used 0.58 grams of the pepper to make some scrambled eggs. How much pepper does Cole have left?
Reason:
0.8 is the same as 0.80
Subtract the values to get 0.80 - 0.58 = 0.22
You can think of it like saying 80-58 = 22, then you place a decimal point before each of the three values.
find the standard equation of the sphere with the given characteristics. center: (−6, 0, 0), tangent to the yz-plane
The standard equation of the sphere is (x + 6)² + y² + z² = 36. The sphere is tangent to the yz-plane, the radius is the distance from the center (-6, 0, 0) to the yz-plane, which is 6 units.
To find the standard equation of the sphere with the given characteristics, we can use the formula for the equation of a sphere:
(x - h)² + (y - k)² + (z - l)² = r²
where (h, k, l) represents the center of the sphere and r represents the radius.
In this case, the center of the sphere is (-6, 0, 0) and it is tangent to the yz-plane. Since the yz-plane is defined by x = 0, the x-coordinate of the center of the sphere matches the x-coordinate of any point on the yz-plane. Therefore, the distance between the center of the sphere and the yz-plane is the radius of the sphere.
Since the sphere is tangent to the yz-plane, the radius is the distance from the center (-6, 0, 0) to the yz-plane, which is 6 units.
Plugging these values into the equation of a sphere, we have:
(x - (-6))² + (y - 0)² + (z - 0)² = 6²
(x + 6)² + y² + z² = 36
Thus, the standard equation of the sphere is (x + 6)² + y² + z² = 36.
Learn more about sphere here
https://brainly.com/question/30522100
#SPJ11
What are the coordinates of images 2? For B P Q
Recall that a reflection over a line y=k transforms the point (x,y) into:
\((x,k-(y-k))=(x,2k-y)\text{.}\)Therefore the given sequence of transformations will change point (x,y) into:
\((x,y)\rightarrow(x+3,y-3)\rightarrow(x+3,2(-2)-(y-3))=(x+3,-1-y)\text{.}\)Answer:
Since the original coordinates are P(-4,3), Q(0,3), and B(-3,-1), the coordinates of image 2 are:
\(\begin{gathered} P^{\doubleprime}(-4+3,-1-3)=P^{\doubleprime}(-1,-4), \\ Q^{\doubleprime}(0+3,-1-3)=Q^{\doubleprime}(3,-4), \\ B^{\doubleprime}(-3+3,-1-(-1))=B^{\doubleprime}(0,0)\text{.} \end{gathered}\)The grass in Jamie's yard grew 161616 centimeters in 101010 days. It was growing at a constant rate.
How many days did it take the grass to grow 111 centimeter?
days
How many centimeters did the grass grow in 111 day?
centimeters
Days it took the grass to grow 1 centimeter and centimeters the grass grew in 1 day
0.625 days to grow 1 cm.
16/10 = 1.6 cm in 1 day.
How many centimeters did the grass grow in 111 days?According to the law of proportion, any two ratios or fractions must be equal.
In only a week and a half, the grass in Jamie's backyard grew by 16 cm. it is expanding at an unchanging pace.
We need to determine how many days have passed since the grass has grown one centimeter.
Let's say that x represents the number of days that the grass grew one centimeter.
Given the following definition of proportion:
16/10=1/x
16x = 10
x = 0.625 days
As a result, one centimeter of grass growth occurred after 0.625 days had passed.
b)
Change x into 1. Because x is the number of days.
16/10=1/1
16/10
1.6
'In conclusion, in 1 day, 1.6 cm will grow.
Read more about a centimeter
https://brainly.com/question/19098836
#SPJ1
An opened a sevings account with $300 and was paid simple interest at an annual rate of 5%. When Ann closed the account, she
was paid 75 in interest. How long was the account open for, in years?
Answer:
it would have took 15 years
Find the measure of angle b 32
please help:)?
Answer:
32
Step-by-step explanation:Not the best at math but it should be the same
What’s the answer? To this
A
B
C
D
d
the answer is d
Step-by-step explanation:
the answer is d
Use the parabola tool to graph the quadratic function f(x)=−(x−2)2+4.
Answer:Use demos it could give you the answer
Step-by-step explanation:
Find all missing angles.
Answer:
m<1 = 51
m<2 = 34
m<3 = 95
m<4 = 38
m<5 = 47
m<6 = 74
m<7 = 59
Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.
Which of the following parabolas opens down?
A. Directrix: y = -5; focus: (2, 6)
B. Directrix: y = 5; focus: (2,-6)
C. Directrix: y = 5; focus: (2,6)
D. Directrix: y = -5; focus: (-2, 6)
Answer:
B
Step-by-step explanation:
It takes Laura 3/5 lbs of clay to make one bowl. If Laura has 10lbs of clay, how many bowls can she make?
Number of bowls that Laura can make with 10lbs of clay is 16
To find out how many bowls Laura can make, we need to divide the amount of clay she has by the amount of clay needed to make one bowl.
Let's start by converting the fraction 3/5 into a decimal:
3/5 = 0.6
This means that Laura needs 0.6 lbs of clay to make one bowl.
Now we can divide the total amount of clay Laura has by the amount of clay needed for one bowl:
10 ÷ 0.6 = 16.67
Laura can make 16 complete bowls with 10 lbs of clay, and she will have some clay left over (0.07 lbs to be exact) that is not enough to make another full bowl.
Learn more about division here
brainly.com/question/13239223
#SPJ4
Which equation represents a line which is parallel to the line y = -7/2x-3
You do not have the options listed, but I will tell you what the line needs:
[] A parallel line will need the same slope.
- The slope is our m in y = mx + b
[] What will this be for our problem:
- \(y=\frac{-7}{2}x-3\)
- Our slope is \(\frac{-7}{2}\)
[] So what will the line look like:
- \(y=\frac{-7}{2}x +?\)
- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of \(\frac{-7}{2}\)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Any point on the parabola can be labeled (x,y) as shown.
1. What are the distances from the point (x,y)(x,y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x+3)2+(y−3)2
distance to the directrix: |y−4|
distance to the directrix: |x−4|
distance to the focus: √(x−2)2+(y+3)2
distance to the focus: √(x+3)2+(y−2)2
distance to the directrix: |y+4|
2. What is the correct standard form of the equation of the parabola?
Answer:
Part A)
2nd and 5th choice.
Part B)
\(\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}\)
Step-by-step explanation:
For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.
Part A)
We are given a point (x, y) on the parabola.
Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:
\(d_1=|y-4|=|4-y|\)
Recall the distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)
Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:
\(d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2\)
Hence, for Part A, our answers are the 2nd and 5th choices.
Part B)
Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:
\(\sqrt{(x+3)^2+(y-2)^2}=|y-4|\)
Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:
\((x+3)^2+(y-2)^2=(y-4)^2\)
Square:
\(x^2+6x+9+y^2-4y+4=y^2-8y+16\)
Rearrange:
\((x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)\)
Combine like terms:
\(x^2+6x-3=-4y\)
Divide both sides by -4. Hence, our equation is:
\(\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}\)
Heyo! :D
Distance to the directrix is |y - 4|.
Distance to the focus is \(\sqrt{(x+3)^2+(y-2)^2}\).
Hope this helps! If so, please lmk! Tysm and good luck!
If ƒ(x) = 2x³ – 11x² + 13x − 4 and x − 4 is a factor of f(x), then find all of the
zeros of f(x) algebraically.
Answer:
The zeros of ƒ(x) are 4, 1, and -2.
Using the image below which could be the first step in order to draw a arc for the construction
Answer:
With its point on A, open the compass on point E
quadratic function in vertex form y=x^2+4x+6
Answer:
y = (x + 2)² + 2
Step-by-step explanation:
a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
y = x² + 4x + 6
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 4x
y = x² + 2(2)x + 4 - 4 + 6
= (x + 2)² + 2 ← in vertex form
Which expression are equivalent? Check all that apply. 3^9 3^4 -9^2 9^9 81^1
Answer:
3^4 and 81^1
Step-by-step explanation:
3^9 = 19683
3^4 = 81
-9^2 = -81
9^9 = 387420489
81^1 = 81
Answer:
3⁴ and 81¹
Step-by-step explanation:
3⁹ = 19,683
3⁴ = 81
-9² = -81
9⁹ = 387,420,489
81¹ = 81
Hope this helps! :)
Jaden's batting average is .214. Raul hits 24.3% of his pitches. Abraham hit 2 out of the 9 balls he was pitched. Mark hit 22% of the balls he was pitched. Who has the greatest batting average? Who has the least batting average?
Answer:
Raul has greatest batting average. Jaden has least batting average.Step-by-step explanation:
Convert all the batting averages to a single unit so that comparison is easier.
Use percentages.
Jaden batting average:
= 0.214 = 214/1,000 = 21.4%
Raul = 24.3%
Abraham:
= 2 / 9 * 100%
= 22.2%
Mark = 22%
Raul has the greatest batting average.
Jaden has the least batting average.
Find the solution of the system of equations.
15x – 4y = -50
3x – 2y = –16
Answer:
x=-2, y=5. (-2, 5).
Step-by-step explanation:
15x-4y=-50
3x-2y=-16
---------------
15x-4y=-50
-5(3x-2y)=-5(-16)
------------------------
15x-4y=-50
-15x+10y=80
-------------------
6y=30
y=30/6
y=5
3x-2(5)=-16
3x-10=-16
3x=-16+10
3x=-6
x=-6/3
x=-2
Help please I’ve been stuck here for hours on this problem would really appreciate it so much. Can’t figure out those two blanks
Mr stokes placed 5 marbles in a bag. I’m looking for A,B,C,D,E
Answer:
B,C,D,E,A
Step-by-step explanation:
Btw, Mr. Stokes from RTMS?
Rhombus wxyz is graphed on a coordinate plane. what is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units
The area of the rhombus WXYZ is 48 unit².
From the diagram:
Diagonal WY = 8 units, Diagonal XZ = 6 units, hence:
Area = 8 * 6 = 48 unit².
A rhombus is a special case of a parallelogram. In a diamond, the opposite sides are parallel and the opposite sides are equal in angle. In addition, all sides of the rhombus are the same length and the diagonal bisects at right angles. Diamonds are also known as diamonds.
The diagonals of the rhombus intersect at right angles to form a non-uniform triangle. The opposite angles are equal. However, if all angles of the diamond are 90 degrees, the diamond is said to be square.
Learn more about rhombus here: https://brainly.com/question/20627264
#SPJ4
Can You Solve It?
Which Division Problem Is Represented In Model Shown In PNG
1 Over 6÷2
1 Over 5÷2
1 Over 5÷6
1 Over 2÷5
Answer: 1 1/4
Step-by-step explanation:
Write an equation for the nth term of the arithmetic sequence. Then find a30.
11, 10, 9, 8,
Answer:
a₃₀ = - 18
Step-by-step explanation:
The n th term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = a₂ - a₁ = 10 - 11 = - 1, then
\(a_{n}\) = 11 - (n - 1) = 11 - n + 1 = 12 - n , thus
a₃₀ = 12 - 30 = - 18
Xavier bought 4 pounds of sweet potatoes for $6.32. What is the cost per pound of the sweet potatoes?
Answer:
1.58
Step-by-step explanation:
All you need to do is divide 6.32 by 4 giving you 1.58
Answer:
Each pound costed $1.58
Step-by-step explanation:
To solve this problem you are going to need to divide the cost which is 6.32 by number of sweet potatoes 4. Dividing the total by 4 allows you to break apart the values to show the cost of each individual pound of sweet potatoes.
Equation
6.32 divided by 4 =1.58.
in the first year of the gryffindor house, hermione notices that the ratio of girls to boys is four to three. if there are 35 total students in their first year, how many total girls and total boys are there?
On solving the provided question we can say that the value of the equation will be 20-15=5 B
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Girls 4/(4+3)* 35= 20
Boys: 35-20= 15
Ans 20-15=5 B
To know more about equation visit:
brainly.com/question/649785
#SPJ4