Answer:
[tex]\displaystyle x= \frac{y + 12}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 3x - y = 12[/tex]
Step 2: Solve for x
[Addition Property of Equality] Add y on both sides: [tex]\displaystyle 3x = 12 + y[/tex][Division Property of Equality] Divide 3 on both sides: [tex]\displaystyle x = \frac{12 + y}{3}[/tex]Answer:
x = y + 12 / 3
Step-by-step explanation:
3x - y =12
3x = y + 12
x = y + 12 / 3
Help please! Need this answered quick!
Answer:
3.6
Step-by-step explanation:
the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6
which is the closest to the height of the ball
Answer:
C
Step-by-step explanation:
substitute 2.1 for 't' in the given equation
h = 113.391
Two high school basketball players each played 5 games. Their stats are summarized below:
Player A: Stats on 5 games → mean points scored = 25, standard deviation = 4
Player B: Scored 23, 27, 28, 22, 25 points on 5 consecutive games
Suppose a university basketball scout (a person who finds new players for a university's team) is deciding which player to recruit. Who should they choose? Justify your response. [3 marks]
HINT: Compare mean and variance of each player.
Answer:
Player B.
Step-by-step explanation:
Player A has a mean score of 25.
Let's calculate Player B's mean score and compare it to Player A's.
23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.
So, Player A and Player B have the same mean score.
This doesn't tell the scout which player is "better", so let's look at the variance.
The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.
Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.
Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.
Hope this helps!
what is the length of each leg in the right triangle shown below
Answer:
brah, where's the triangle
Step-by-step explanation:
looooooooooooooooooooooooooool
Samantha has $35 in her savings account. At the end of each week, she will add $20 to the account. Which equation describes the total "S", in dollars, that Samantha will have in her account at the end of the week? * 1 point S = 15w S= 55w S = 20 + 35w S = 35 + 20w
Answer:
S = 35 + 20w
Step-by-step explanation:
Amount Samantha has in her account = $35
Additional savings per week = $20
Let
S =Totai savings in Samantha's account at the end of the week
w = number of weeks
The equation:
Totai savings in Samantha's account at the end of the week = Amount Samantha has in her account + (Additional savings per week * number of weeks)
S = 35 + 20w
Answer:
s=35+20w
Step-by-step explanation:
State the degree of each of the following and identify it as a linear or non-linear relation.
a. y = x2 + 2x + 1 b. 3x + 3y = 6
Answer:
a) Degree of 2; non-linear
b) Degree of 1; linear
Step-by-step explanation:
a) The degree is the highest power of the variable in the given equation:
Given y = x^2 + 2x + 1
From the given equation, we can see that the highest power of x is 2. Hence the degree of the equation is 2.
Any equation with degrees of 2 and above is a non-linear equation. Hence the equation is a non-linear equation
b) For the equation 3x + 3y = 6
Divide through by 3
x + y = 2
From the given equation, we can see that the highest power of x and y is 1. Hence the degree of the equation is 1.
Any equation with a degree of 1 is a linear equation. Hence the equation is a linear equation
find the value of x.
a) 1.1
b) 5.5
c) 6.6
d) 8.8
Answer:
8.8 =x
Step-by-step explanation:
We know x is the median so
(5.5+12.1) /2 = x
17.6/2 =x
8.8 =x
Monica hiked west from her campsite for 24 miles and then hiked north for 7 miles, as shown in the diagram.
What is the shortest distance Monica can hike to return to the campsite?
A. 25 miles
A. 25 miles,
B. 17 miles
B. , , 17 miles, , ,
C. 31 miles
C. , , 31 miles, , , ,
D. 41 miles
Answer: A. 25 miles
Step-by-step explanation: I used Pythagorean’s Theorem.
The price of an item yesterday was 120 . Today, the price fell to 78 . Find the percentage decrease.
Answer:
65%
Step-by-step explanation:
120 * x = 78
78/120 = x
.65 = x
Answer:
35%
Step-by-step explanation:
First, set up the equation.
[tex]\frac{78-120}{120} *100=[/tex] %Then solve.
78-120 is -42.
Divide by 120. -0.35.
Multiply by 100. -35.
The negative sign means that it is decreasing, so you can take it away.
I hope this helps!
In 4 years Craston's age will be the same as Terrins age is now. In 2 years, Terrin will be twice as old as craston. Find their ages now
Answer:2 and 6
Step-by-step explanation:
Given
In 4 years Craston's age will be the same as Terrins age is now
Suppose the present of Craston's and Terrins are [tex]x[/tex] and [tex]y[/tex] respectively
According to the question
[tex]\Rightarrow x+4=y\\\Rightarrow y-x=4\quad \ldots(i)[/tex]
In 2 years Terrin will be twice as old as craston
[tex]\Rightarrow (y+2)=2(x+2)\\\Rightarrow y-2x=4-2\\\Rightarrow y-2x=2\quad \ldots(ii)\\[/tex]
Solving (i) and (ii) we get
[tex]x=2,y=6[/tex]
Thus, the present age of Craston and Terrins are [tex]2[/tex] and [tex]6[/tex]
Which lists all of the shapes that are in a two-dimensional net of a square pyramid? 6 squares 4 triangles 1 square and 3 triangles 1 square and 4 triangles
Answer:
4 triangles and 1 square
Step-by-step explanation:
Required
The shapes in two-dimensional net of a square pyramid
To do this, I will attach an attachment of a 2D net of a square pyramid (see attachment)
From the attachment, we can see that:
The 2d shape of the pyramid is made of 4 triangles and 1 square
Answer:
D
Step-by-step explanation:
Identify the sequence that lists the sides of △MNO in order from shortest to longest.
Answer:
MO, NO, MN
Step-by-step explanation:
First, we can identify this triangle as a right triangle, as given by the square next to the O. Next, we know that a right angle is equal to 90 degrees, and the sum of the angles of a triangle is equal to 180 degrees.
Therefore,
∠M + ∠O + ∠N (the angles of the triangle) = 180
49 + 90 + ∠N = 180
139 + ∠N = 180
subtract both sides by 139 to isolate the variable
∠N = 41
Therefore, ∠N is 41 degrees.
In a triangle, given the angles, we know that the side opposite the smallest angle is the side with the smallest length and so on.
Our angle lengths are
41, 49, and 90 degrees in order.
Therefore, the side opposite the largest angle (90 degrees, or ∠O) is the longest side. This is MN. Similarly, ∠N is the smallest angle, and the side opposite of that (MO) is the shortest side. This leaves NO to be in the middle
HELP ME PLS I NEEDA GET THIS RIGHT PLS PLS ITS PYTHAGOREAN THEOREM
2.8 mm
2mm^2=4mm
4mm+4mm = 8mm
square root of 8mm is 2sqrt2
2sqrt 2 is 2.8 mm
PLEASE HELP ME ASAP!!!
Answer:
5.30
Step-by-step explanation:
Total cost = flat fee + cost per mile * number of miles
c(m) = 3.50 + .60m
Let m=3
c(3) = 3.50 + .60(3)
= 3.50 + 1.80
=5.30
Answer:
B: $5.30
Step-by-step explanation:
Each mile is $0.6, to get the result for 3 miles we would need to multiply $0.6 by 3. $0.60 * 3 = $1.8. Finally we would need to add the 3.50 to $1.8 resulting in $5.30
show that x^2-y^2= (x+y)(x-y) with venn diagram
Answer:
[tex] \sqrt[]{ \frac{0}{0} } [/tex]
Explainion are shown in pictures above
On the grid, sketch a graph to represent
Sandy's walk to school based on the
description below.
Sandy lives 200 m from school. One
morning she leaves for school at a
slow pace. On the way she meets a
friend and stops to talk för 10
minutes. Sandy realizes that she
forgot her homework and runs back
home to pick it up. It takes five
minutes to get home. Immediately she
heads back to school at a fast pace.
Answer:
Please find attached, the required graph created on MS Excel
Step-by-step explanation:
The distance between Sandy's house and the school = 200 m
The number of minutes Sandy talked to her friend for = 10 minutes
The time it took Sandy to return home to pick her homework = 5 minutes
Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;
The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)
The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)
Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂
Therefore, where x = 125, we have;
The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min
Given that the same rate m₂ is what she used in heading back to school, we have;
The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes
Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;
[tex]\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}[/tex]
The plot of the above point is completed using MS Excel as shown in the attached diagram.
Area of parallelogram!!
Answer:
3.375 cm^2
Step-by-step explanation:
The area of a parallelogram is given by
A = bh where b is the base and h is the height
A = 2.25 * 1.5
A =3.375 cm^2
Area = length x height
Area = 2.25 x 1.5
Area = 3.375 cm^2
what is the value for f(x)4^2x -100 when x=2 ?
(the ^2x is a exponent)
Answer:
156
Step-by-step explanation:
f(x)= 4^(2x) -100
Let x =2
f(2)= 4^(2*2) -100
= 4^4 - 100
= 256 -100
= 156
Find the volume of the prism. 3m 5m 36m
Answer:
540m^3
Step-by-step explanation:
There are many kinds of prisms, if you were asking for a rectangular prism, then we do 3 * 5 * 36 = 540m^3.
Answer:
the answer is 540
Step-by-step explanation:
because 3x5x36=540
Find the ordered pair $(s,t)$ that satisfies the system
\begin{align*}
\dfrac{s}{2} + 5t &= 3,\\
3t - 6s &= 9.
\end{align*}
Answer:
[tex]\left(\dfrac{8}{7} , \ \dfrac{17}{35} \right)[/tex]
Step-by-step explanation:
The given system of equations is presented as follows;
[tex]\dfrac{s}{2} + 5 \cdot t = 3[/tex]
3·t - 6·s = 9
Making t the subject of both equations, gives;
In the first equation; t = (3 - s/2)/5
In the second equation; t = (9 + 6·s)/3
Equating both values of t to find the the values that satisfies both equations, gives;
(3 - s/2)/5 = (9 + 6·s)/3
3 × (3 - s/2) = 5 × (9 + 6·s)
9 - (3/2)·s = 45 + 30·s
45 - 9 = (30 + (3/2))·s
36 = (63/2)·s
s = 36/(63/2) = 8/7
t = (3 - s/2)/5
∴ t = (3 - (8/7)/2)/5 = 17/35
Therefore, the ordered pair is (8/7, 17/35)
HIIII!!!!! I NEED HELP!
Answer:
16⅜ cups
Step-by-step explanation:
Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:
15¾ cups + ⅝ cups = ?
15¾ = 63/4 = 126/8
126/8 + ⅝ = 131/8 = 16⅜
Help please !!!!!!!!!!
Answer:
D
Step-by-step explanation:
A function means that each input value (in this case, x) has only one output value (y). The vertical line test states that if a vertical line intersects with the relation more than once, it is not a function. Therefore, as a vertical line at x=0 intersects with the graph twice, the graph fails the vertical line test
Graph the line that has a slope of -7/4 and includes the point (0,10).
Answer:
y=-7/4x +10
Step-by-step explanation:
that the graph, you can plug the equation in desmos,
hope it helps! :)
Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item. Which souvenirs cost less than $2.25 per item?
Answer:
Tote bag ; Picture Frame ; Mug
Step-by-step explanation:
Given the following souvenir list :
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
To determine the cost per item in the sourvenir :
Divide the cost of sourvenir by the number of items in each sourvenir ;
Tote bag = $49.00 / 25 = $1.96
picture frames = $32.25 / 15 = $2.15
water bottles = $27.60 / 12 = $2.30
mugs = $15.92 / 8 = $1.99
T-shirts = $25.00 / 10 = $2.50
Hence, souvenirs which costs less than 2.25 per item are :
Tote bag ; Picture Frame ; Mug
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
2bx – bx = -8
Answer:
x = -8/b
Step-by-step explanation:
2bx – bx = -8
Combine like terms
bx = -8
Divide by b
bx/b = -8/b
x = -8/b
c) Workout using factorization. Show all your working. 9.9²- 0.1²
Answer:
98
Step-by-step explanation:
1) You shulduse the formula x^2-y^2= (x-y)(x+y)
That obvious, that 9.9 is considered as x, and 0.1 as y
2) So 9.9²- 0.1²= (9.9-0.1) * (9.9+0.1)=9.8*10=98
Identify a positive coterminal angle for the angle shown below. You must answer in radians.
NOW ASAP NEED FAST ANSWERRRRRRRRRRRRRRRRRRR
Answer:
C.
Step-by-step explanation:
Dis means apart and junc means join so disjunction means the "state of being disconnected".
please help me with this question
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The usual glide slope for landing is about 3°. The descent rate here of 0.25 km/min corresponds to 15 km/h. For the slope to be 3°, the forward speed of the airplane would need to be 286 km/h, about 154 knots.
This is not unreasonable for an approach speed for a (very) heavy airplane. Usually, the rate would be a little lower, but we wanted something that would fit on the grid provided.
Write an inequality that represents the set of all numbers shown on the number line
-8 and -1
Answer:
-8 is less than -1
Step-by-step explanation:
If you look at a number line
-8 -7 -6 -5 -4 -3 -2 -1 0
Which one is closest to 0. -1, therefore it is greater
The set of all numbers shown on the number line 8 < -1.
What is a number line?A number line is a horizontal line that has numbers in equal intervals. The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.
The horizontal straight lines in which the integers are placed in equal intervals increase as we go right. The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.
A number line can be described as an instant line with numbers positioned at identical intervals or segments alongside its period. a variety of lines may be extended infinitely in any route and is commonly represented horizontally.
Learn more about the number line here:-https://brainly.com/question/24644930
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