Answer:X = 15.2
Step-by-step explanation:
-4+5x= 72+4= 76
5x= 76
X = 15.2
Find the area of a rectangle & triangle! NEED HELP ASAP
Answer:
For rectangle: A=wl
Step-by-step explanation:
Multiply the length by the with to find the answer
What is the value ofx in the equation 2(6x+4)-6+2x=3(4x+3) + 1
1
3
4
6
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesCombining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
Step 2: Solve for x
Distribute: 12x + 8 - 6 + 2x = 12x + 9 + 1Combine like terms: 14x + 2 = 12x + 10Subtract 12x on both sides: 2x + 2 = 10Subtract 2 on both sides: 2x = 8Divide 2 on both sides: x = 4Sofia ordered sushi for a company meeting. They change plans and increase how many people
will be at the meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.
The sushi comes in rolls, and each roll contains 12 pieces and costs $8.
Using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).
So, they require at least 100 sushi pieces.
24 pieces of sushi had previously been ordered and paid for by Sofia.
Roll sushi is available.
Each roll = 12 pieces at $8
R = additional rolls that Sofia orders
Additional sushi = Needed sushi - ordered sushi
=100-24
=76 pieces of sushi
A roll contains 12 pieces.
76/12 = 6.33
Rolls must be ordered by Sofia.
She will therefore place 7 additional sushi rolls, each with 12 pieces.
12*7=84 pieces
Remember that they need at least 100 pieces, so there may be more than 100 in total.
84 pieces plus the 24 pieces Sofia has previously ordered.
The total number of pieces will be 108.
Therefore, using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).
Know more about mathematical operations here:
https://brainly.com/question/28937023
#SPJ1
Complete question:
Sofia ordered sushi for a company meeting. They change plans and increase how many of people
will be at the meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.
The sushi comes in rolls, and each roll contains 12 pieces and costs $8. How many more sushi Sofia will order and of what amount?
A hot air balloon starts at an elevation of 300 feet. Then, it ascends at a rate of 600 feet per minute. what is the slope of the line?
Answer:
m = 600 feet/minute
Step-by-step explanation:
In this scenario, the elevation of the hot air balloon can be represented as a linear function of time. Let's use t to denote time in minutes and h(t) to denote the elevation of the balloon in feet at time t.
We know that the balloon starts at an elevation of 300 feet, so we can write the equation of the line as:
h(t) = 600t + 300
The slope of the line represents the rate of change of the elevation with respect to time, which is the same as the rate at which the balloon is ascending. Therefore, the slope of the line is equal to the ascent rate of the balloon, which is 600 feet per minute.
So the slope of the line is:
m = 600 feet/minute
Please help I don't understand!
Answer:
False
Step-by-step explanation:
Dilations can control the size of the newly formed image. This means it can be enlarged, diminished, or unchanged.
Hence, the statement is false.
onsider a population with data values of 12 8 28 22 12 30 14 pictureclick here for the excel data file the population variance is the closest to .
The population variance is closest to 67.43, hence option C: 67.00, by referring the formula for population variance where N plays the number of data points.
The following gives the formula for population variance:
σ2 = (1 /N) ∑ (xi – μ) 2
Where:
σ2 refers to the population variance.
N refers to the total number of data points
∑ (xi – μ) 2 is the sum of the squared differences between each data point and the mean of the population.
For example, consider a population with data values of 12, 8, 28, 22, 12, 30, 14. The mean of this population is:
12+8+28+22+12+30+14)/7 = 18.
The population variance is calculated as follows:
σ2 = (1/7) [(12-18)2 + (8-18)2 + (28-18)2 + (22-18)2 + (12-18)2 + (30-18)2 + (14-18)2]
= 67.43
Therefore, the population variance is closest to 67.43.
To know more about population variance, refer:
https://brainly.com/question/30884734
#SPJ4
Complete question is:
Consider a population with data values of 12 8 28 22 12 30 14. The population variance is the closest to:
A. 8.00
B. 8.64
C. 67.00
D. 74.67
Gaton paint a pole uing three different colour a hown. What i the ratio for the length of grey to red to blue? Give your anwer in it implet form uing whole number only. Grey 0. 8 m Red 1. 8 m Blue 0. 6 m Not to cale
The ratio for the length of grey to red to bule is 4:9:3.
What is ratio?Ratio is the relation between two numbers which shows how much bigger one quantity than another. Ratio show how many times one contain show the other one.
According to the question
The given data are -
Grey = 0.8m
Red = 1.8 m
Bule = 0.6 m
By solving these we can get -
=0.8:1.8:0.6
=0.8×10:1.8×10: 0.6×10
=8:18:6
By simplifying it we can get
4:9:3.
To know more about ratio click
-https://brainly.com/question/12024093
#SPJ1
Write the standard form of the equation of the line trough the given point with the given slope.
Step-by-step explanation:
we use the point-slope approach :
y - y1 = m(x - x1)
m is the slope, and (x1, y1) is a point on the line.
so,
1.
y - 2 = 7(x - 1) = 7x - 7
y = 7x - 5
2.
y - -1 = -1×(x - 3) = -x + 3
y + 1 = -x + 3
y = -x + 2
3.
y - 5 = -4(x - -2) = -4x - 8 (3x a "-" is a "-" for 8)
y = -4x - 3
4.
y - 5 = 5/3 × (x - 3) = 5x/3 - 5
y = 5x/3 or 5/3 × x
Answer:
1. \(7x-y=5\)
2. \(x+y=2\)
3. \(4x+y=-3\)
4. \(5x-3y=0\)
Step-by-step explanation:
Since we already know the slope and the coordinates of one point, first use the point-slope form to create an equation.
\(y-k=m(x-h)\)
\(y-2=7(x-1)\)
\(y-2=7x-7\)
\(7x-y=5\)
\(y+1=-1(x-3)\)
\(y+1=-x+3\)
\(x+y=2\)
\(y-5=-4(x+2)\)
\(y-5=-4x-8\)
\(4x+y=-3\)
\(y-5=\frac{5}{3} (x-3)\)
\(y-5=\frac{5}{3}x-5\)
\(3y-15=5x-15\)
\(5x-3y=0\)
ONE SHARE OF BEEPCO PREFERRED STOCK PAYS AN
ANNUAL DIVIDEND OF $1. 20. TODAY BEEPCO CLOSED AT
$34. 50 WITH A NET CHANGE OF -$0. 50. WHAT WAS THE
STOCK'S YIELD AT YESTERDAY'S CLOSING PRICE?
O
The yield of stock at yesterday's closing price is 3.43%.
What is Annual Dividend?Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.
Given,
Annual dividend = $1.20
Today's closing price = $34.50
Net change = -$0.50
Let x be yesterday's closing price.
Net change = Today's closing price - yesterday's closing price
⇒ -0.50 = 34.50 - x
⇒ x = 34.50 + 0.50
⇒ x = 35
Yield = \(\frac{Annual dividend}{Price}\) × 100
= \(\frac{1.2}{35}\) × 100
= 3.4286 % ≈ 3.43 %
Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.
Learn more about Annual Dividend here :
https://brainly.com/question/15871366
#SPJ4
The average production amount of a certain type of apple tree is normally distributed with a mean of 10 apples and a standard deviation of 2 apples. If we select 25 apple trees, what is the probability that the total production of these trees will exceed 255 apples
Thus, the probability that the total production of these 25 apple trees will exceed 255 apples is 0.3085, or about 31%.
To solve this problem, we need to first find the distribution of the total production of the 25 apple trees.
We know that the average production amount of a single apple tree is normally distributed with a mean of 10 apples and a standard deviation of 2 apples.
Since we are selecting 25 apple trees, the total production will be the sum of the production of these 25 trees.Know more about the normally distributed
https://brainly.com/question/4079902
#SPJ11
State the feature of a parabola can be obtained from each form of the equation:
SOLUTION
The standard from of a parabola can be used to obtain the y-intercept
The Factored form can be used to obtain the roots, also known as the x-intercepts.
The Vertex form can be used to obtain the vertex.
40 Points!!!
What are the domain and the range of this function?
Answer: The domain of a function is the set of values that we are allowed to plug into our function.
Step-by-step explanation:
Please help me with this homework show me how you get it and the answer
Answer:
See explanation.
Step-by-step explanation:
r=radius
radius=6 ft
\(V=\frac{4}{3} \pi *6^3\)
\(V=\frac{4}{3} *3.14*256\)
\(V=\frac{4}{3}*803.84\)
\(V=1071.786666...\)
A square-shaped park has an area of 400 yd? What are the dimensions of the park? Write and solve an equation.
We know that a square has sides that are the same length
We know to find the area, we multiply the length of one side by the length of another
A = x*x or x^2
T
Simplify by prime factorization.
15
27
5/9 is a simplified fraction for 15/27
Answer:
15/27 simplified to lowest terms is 5/9.
Your Welcome!
hey lol please help me asap
Answer:
-2
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
Compute the number of permutations of given set a = x | x is an integer and x2 < 16 , r =4
There are 840 permutations of the set a, taken 4 at a time.
What is integer ?
An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
A permutation of a set is an arrangement of its elements in a specific order. To find the number of permutations of a set with n elements, taken r at a time, the formula is given by n! / (n - r)!, where n! is the factorial of n.
Given the set a = {x | x is an integer and x^2 < 16}, we can find the elements of the set:
x^2 < 16
x = ±1, ±2, ±3, ±4
So the set a has 8 elements: {-4, -3, -2, -1, 1, 2, 3, 4}.
The number of permutations of a set with 8 elements, taken 4 at a time, is given by 8! / (8 - 4)! = 8! / 4! = 40320 / 24 = 840.
Therefore, there are 840 permutations of the set a, taken 4 at a time.
To learn more about integer visit : brainly.com/question/15276410
#SPJ4
5x+3y=-9 in slope intercept
The slope-intercept form of the equation 5x + 3y = -9 is y = (-5/3)x - 3.
To rewrite the equation 5x + 3y = -9 in slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept, we need to solve for y.
Let's start by isolating y:
5x + 3y = -9
Subtract 5x from both sides:
3y = -5x - 9
Divide both sides by 3 to isolate y:
y = (-5/3)x - 3
Now, we have the equation in slope-intercept form. The slope of the line is -5/3, which means that for every unit increase in x, y decreases by 5/3 units. The y-intercept is -3, which means that the line intersects the y-axis at the point (0, -3).
Therefore, the slope-intercept form of the equation 5x + 3y = -9 is y = (-5/3)x - 3.
For more questions on slope-intercept
https://brainly.com/question/20384386
#SPJ8
Lines c and d are parallel. Parallel lines c and d are cut by transversals s and t. Clockwise from top left, the angles formed by c and t are blank, blank, 1, blank; formed by c and s are blank, blank, blank, 2; formed by s, t, and d are blank, 3, (5 x minus 1) degrees, (2 x + 10) degrees, 87 degrees, blank. Which statements about the relationships between the angle measures are true? Check all that apply. Measure of angle 1 = (2 x + 10) degrees Measure of angle 3 = 87 degrees Measure of angle 2 = (2 x + 10 + 5 x minus 1) degrees Measure of angle 1 + measure of angle 2 = measure of angle 3 87 + 2 x + 10 + 5 x minus 1 = 180
Please help ASAP!
Answer:
Options (1), (2) and (5) are true.
Step-by-step explanation:
Option (1). m∠1 = (2x + 10)°
lines c and d are the parallel lines and t is a transverse.
Therefore, m∠1 = (2x + 10)° [corresponding angles]
This option is true.
Option (2). m∠3 = 87°
Since ∠3 and angle having measure equal to 87° are the vertical angles therefore, both the angles will be equal in measure.
This option is true.
Option (3). m∠2 = (2x + 10 + 5x - 1)°
m∠2 = (5x - 1)° [Since both the angles are interior alternate angles]
Therefore, this option is not true.
Option (4). m∠1 + m∠2 = m∠3
(5x - 1) + (2x + 10) + 87 = 180° [Sum of liner angles at a point is 180°]
7x + 96 = 180
7x = 180 - 96
x = \(\frac{84}{7}\)
x = 12
Therefore, m∠1 = (2x + 10) = 34°
m∠2 = (5x - 1) = 59°
m∠3 = 87°
For the given relation,
m∠1 + m∠2 = m∠3
34 + 59 = 87
93 = 87
Not true.
Therefore, this option is not correct.
Option (5). 87 + 2x + 10 + 5x - 1 = 180°
True.
Since these angles are the linear angles so the sum of all angles = 180°
Therefore, the given option is correct.
Options (1), (2) and (5) are the true.
Answer:
answer 1 2 and 5
Step-by-step explanation:
right on edge
8 1/6 - 2 7/8 =
BRAINLIEST
Answer:
5 7/24
Step-by-step explanation:
Convert to improper: 49/6-23/8=254/48 which is 5 7/24
Hope this helps plz mark brainliest :D
Answer:
5 7/24≈5.292
Step-by-step explanation:
Subtract
8 1/6 -2 and 7 over 82=127 over 2
Convert mixed number to improper fraction
8 1/6= 8x6/6+ 1/6=16+7/8=23/8
Convert mixed number to improper fraction
2 7/8= 2x8/8+7/8=16+7/8=23/8
Find common denominator
49/6-69/24=196-69/24=127/24
24 is the least common multiple of denominators 6 and 8. Use it to convert to equivalent fractions with this common denominator.
Subtract
196/24- 69/24= 196-69/24=127/24
Simplify
127/24= 5 7/24
if the length of a rectangle is increased by 20% and its width is increased by 50%, then the area is increased by
If the length of a rectangle is increased by 20% and its width is increased by 50%, then the area is increased by
Let the length and width of the rectangle be a and b, respectively.
The area of this rectangle is ab sq. units
Now we have a new rectangle whose length is increased by 20% of that of the previous rectab\ngle
Hence, the length is 120/100 X a units
= 6a/5 units.
The width is increased by 50% hence the increased width will be
150/100 X b units
= 3b/2 units.
The area of the new rectangle is
6a/5 X 3b/2
= 9ab/5 sq, units
The area has increased by
9ab/5 - ab
= 4ab/5 sq. units = 0.8ab sq units
Now the percentage increase will be
0.8ab/ab X 100
= 80%
Hence the area has increased by 80%
To learn more about Area visit
https://brainly.com/question/14356835
#SPJ4
What is f(f(x))?
x4 + 2x2 + 1
x4 + 2x2 + 2
x4 + 2
x4 + 1
Answer:
B. X⁴+2X²+2
Step-by-step explanation:
If f(x) = x²+1, we are to find ff(x)
F(f(x)) = f(x²+1)
to get f(x²+1), we will have to substitute x as x²+1 in the function f(x) as shown;
F(x²+1) = (x²+1)²+1
Expand the expression
f(x²+1) = (x²+1)(x²+1)+1
f(x²+1) = (x⁴+x²+x²+1)+1
f(x²+1) = x⁴+2x²+1+1
f(x²+1) = x⁴+2x²+2
Hence f(f(x)) = x⁴+2x²+2
Emma spent $17.98 on 2 dozen bagels. which equation models the situation with d, the price in dollars, of one dozen bagels? a. 17.98d = 2 b. 17.98 + d = 2 c. 2d = 17.98 d. 2 + d = 17.98
The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.
Emma spent $17.98 on 2 dozen bagels. The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.What are dozen bagels?A dozen bagels are 12 bagels. If Emma bought 2 dozen bagels, it means she bought 24 bagels. If you want to know the cost of one bagel, you can divide the total cost by the number of bagels she bought. So the cost of one bagel can be given by the equation;`Total cost of bagels / number of bagels bought = cost per bagel`Let us now use the given options to see which one of them represents the above equation.A. 17.98d = 2Here, we have the total cost multiplied by the cost per bagel which doesn't make sense.B. 17.98 + d = 2We can see that this equation does not have any terms to represent the number of bagels bought, it only has the total cost and the cost per dozen bagels.D. 2 + d = 17.98We can see that this equation does not have any terms to represent the total cost or the number of bagels bought. Hence it cannot represent the given situation.C. 2d = 17.98Here, we have the number of bagels multiplied by the cost per bagel to give us the total cost, which is what we need. Therefore the equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.
Learn more about equation :
https://brainly.com/question/29657992
#SPJ11
3x-4(2+3x)=82
I have to get an answer of x=-10 but I cant seem to get it. Can someone answer it and give me an explanation please?
Answer:
x=-10
Step-by-step explanation:
3x-4(2+3x)=82
3x-(4*2)+(4*3x)=82
3x-8-12x=82
-9x-8=82
-9x-8+8=82+8
-9x=90
-9x/-9=x
90/-9=-10
x=-10
Answer:
10 isn't the right answer
Step-by-step explanation:
multiply everything in the parenthesis by -4
you would get 3x-8-12x=82
then combine like terms to get -9x
once your equation is in simplist form it will look like
-9x-8=82
next you add 8 to the 82
-9x=90
then divide 90 by -9 and you would get
x=-10
y’all pls help! NO LINKS!!
Answer:
16°
Step-by-step explanation:
The trig function tangent relates an acute angle of a right triangle to the measures of the adjacent and opposites sides. Those are the sides given here, so the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(?) = 14/49 = 2/7
When the tangent of the angle is known, the inverse tangent function can be used to find the angle:
? = arctan(2/7) ≈ 16°
The value of "?" is about 16°.
4.1.8Question HelpoUse the graph to the right to complete parts a through c below.Ау6-4(2, 2)2(-2,0)a. Describe the solution set for the system of equations that consists of the equation of the line shown and y =2x-3SA. The solution set is (Type an ordered pair.)OB. There are infinitely many solutions,O C. There is no solutionClick to select and enter your answer(s) and then click Check AnswerpartsremainingClear AllCheck Answer
To solve the problem, define the system of equation and solve it.
The first step to do it is to find the equation of the line drawn. Find the slope using the given points (-2,0) and (2,2).
\(\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{2-0}{2-(-2)}=\frac{2}{4}=\frac{1}{2} \end{gathered}\)Use one of the points (-2,0) and the slope to find the equation of the line using the point slope formula:
\(\begin{gathered} y-0=\frac{1}{2}(x-(-2)) \\ y=\frac{1}{2}x+1 \end{gathered}\)Once found the equation of the line drawn, it is not even necessary to solve the system to answer the problem.
As both equations have the same slope, they are parallel lines, which means they will not intercept each other at any point. In other words, the system does not have a solution.
The correct answer is C. There is no solution.
Shota invests $2000 in a certificate of deposit that earns 2%, percent in interest each year.
Write a function that gives the total value V(t) in dollars, of the investment t years from now.
Answer:
\(2 * 10^3 * 1,02^t\)
Step-by-step explanation:
Let \(S = 2000 = 2 * 10^3\) dollars be our investment, \(r = 2\%\) - our interest rate. In order to simplify things, I suggest bringing the variable \(p\) into play: \(p = 1 + \frac{r}{100}\). So, after year \(1\) we will have \(S_{1} = S + \frac{r}{100}S = S(1 + \frac{r}{100} ) = Sp\). After year \(2\): \(S_{2} = S_{1}p = Sp * p = Sp^2\). After year \(t\): \(S_{t} = S_{t - 1}p = Sp^t\). Besides, we can count \(p\). Indeed, \(p = 1 + \frac{r}{100} = 1 + \frac{2}{100} = \frac{100}{100} + \frac{2}{100} = \frac{102}{100} = 1,02\). Therefore, \(V(t) = Sp^t = 2 * 10^3 * 1,02^t\).
3 cups of water are needed to fillup the bottle completely. 10 cups of water are needed to fill up the bucket completely. Each cup has a capacity of 305 ml. What is the capacity of the bucket? Write your answer in litres and mililitres
Answer:
The bucket has a capacity of 3.05 Liters
Step-by-step explanation:
305ml × 10 = 3,050ml
3,050ml = 3.05L
In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
write as an equation
Answer:
the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Step-by-step explanation:
Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so
5(V - v) = 4000
V - v = 800 (1)
For upwind movement, since the plane travels 3000 km in 5 hours, so
5(V + v) = 3000
V + v = 600 (2)
adding equations (1) and (2), we have
V - v = 800
+
V + v = 600
2V = 1400
V = 1400/2 = 700 km/h
subtracting equations (2) from (1), we have
V - v = 800
-
V + v = 600
-2v = 200
v = -200/2 = -100 km/h
So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
find x show ur work !!!!
Answer:
Step-by-step explanation:
x + 67 = 3x - 53 ( exterior angle of a triangle is equal to the sum of two opposite interior angles )
3x - x = 67 + 53
2x =120
x = 120 /2
x = 60
HOPE IT WILL HELP :)