a rectangular wall with a height of 7 1/2 ft has a perimeter of 46 ft. What is the area of the wall?
Answer:
116.25 ft²
Step-by-step explanation:
Height = 7.5ft
Perimeter : 2(7.5)ft + 2x ft = 46ft
Length = x ft
15+2x = 46ft
31 ft = 2x ft
x = 15.5 ft
7.5 x 15.5 = 116.25 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please guys help me. I am suck. I will give you the brainliest.❤❤
Answer:
Seventy two guestsStep-by-step explanation:
72 = 72×1
144 = 72×2
288 = 144×2 = 72×4
So each of 72 plates would have one cupcake, two apples and four chocolate bars.
{72 is the highest common factor for numbers 72, 144 snd 288}
(3x2y) 3
Evaluate the expression
Answer:
27x ^6 y ^3
Step-by-step explanation:
Answer:
\(27x^{6} y^{3}\)
Step-by-step explanation:
\((3x^{2} y)^{3}\)
→ Write out as a multiplication
\(3x^{2} y*3x^{2} y*3x^{2} y\)
→ Simplify
\(27x^{6} y^{3}\)
Two shops rent kayaks for a rental fee plus a fee per hour. How many hours must a kayak be rented for the total costs to be the same? Shop A Rental fee: $8 Hourly fee: $3 Shop B Rental fee: $3 Hourly fee: $4 The total costs are the same when a kayak is rented for hours.
The total costs are the same when a kayak is rented for 5 hours
How do we determine the hours that both have the same costs?
The hours that both shops have the same cost is determined by equating the total cost in shop A to the total cost in shop B, in short, we need to first of all , model the total cost in each shop based on the straight-line equation formula shown below since the total cost is made of fixed charge and variable charge
y=a+bx
y=total cost
a=fixed charge for each shop
b=hourly fee
x=number of hours
Shop A:
total cost=8+3x
Shop B:
total cost=3+4x
8+3x=3+4x
8-3=4x-3x
5=x
At 5 hours both Shops A and B would have the same cost
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The hours when the cost of renting the kayaks would be the same is 5 hours.
The total cost of renting a kayak is $23.
When would the total cost be equal?The equation that can be used to represent the total cost of renting a kayak is a linear function. A linear equation is an equation whose graph is a straight line. A linear equation increases by a predetermined constant. An example of a linear equation is x + 2.
The form that the equation would be is:
Total cost = rental fee + (hourly fee x number of hours)
Total cost at Shop A = $8 + $3h
Total cost Shop B = $3 + $4h
Where h is the number of hours the kayak was rented.
When the total costs are equal, the two above equations would be equal.
$3 + $4h = $8 + $3h
Combine similar terms: $4h - $3h= $8 - $3
Add similar terms together: h = 5 hours
Total cost = $3 + $4(5)
$3 + $20 = $23
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The diagram shows eight identical squares inside a rectangle.
The length of the rectangle is 30 cm.
Work out the width of the rectangle.
Optional working
Answer: width =
+
cm
The width of rectangle is 20 cm
As is seen in the picture, there are 6 squares at the length of rectangle and 4 squares at the width of rectangle. Also, as per the known fact, each side of square is same. So, we will find the side of square to calculate width of rectangle.
Length of rectangle = 6 × side of square
Side of square = 30 ÷ 6
Side of square = 5 cm
Width of rectangle = 4 × side of square
Width of rectangle = 4 × 5
Width of rectangle = 20 cm
Hence, the width of rectangle is 20 cm.
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Angles EBI and BCJ are corresponding angles. Use a transformation that takes angle EBI to angle BCJ to prove that corresponding angles are congruent
The angles EBI and BCJ are complementary. Show that the corresponding angles are congruent by transforming angle EB1 to angle BCJ. Orient point C at angle BCJ by 180 degrees. reflecting from line BCJ over angle BC Angle BCJ is translated by the directed line segment from C to B.
If the transversal intersects two parallel lines, the corresponding angle postulate states that the corresponding angles are congruent. In other words, the angles formed when a transversal crosses two parallel lines will always be equal.By transversal and parallel lines, corresponding angles are formed that are congruent. Corresponding angles created by transversal non-parallel lines are not equal.To know more about congruent angles here
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consider an undirected graph that has 100 vertices. for any pair of vertices, only 1 edge can connect them. in other words, you cannot have 2 edges connecting vertex a directly to vertex b. also assume that there are no self-loops, i.e. an edge that goes from vertex a to vertex a. what is the maximum number of edges that can be in this specific graph?
So the maximum number of edges in an undirected graph with 100 vertices is 4950.
In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.
In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:
n * (n-1) / 2
Substituting n = 100, we get:
100 * 99 / 2 = 4950
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Amrit’s income is
32
%
more than Bethan’s income.
Amrit and Bethan’s combined income is
£
54
868
.
Calculate Amrit's income.
Amrit's income is £27434.16.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Let the Bethan's income be x
Amrit's income is 32% more than Bethan's income.
So, Amrit's income=x+32%
Amrit and Bethan's combined income is £54868.
According to given question we have
x+x+32%=£54868
2x+32/100=£54868
2x=54868-0.32
2x=54867.68
x=27433.84
Bethan's income=£ 27433.84
Amrit's income
=x+32%
=£ 27433.84+0.32
=£27434.16
Therefore, Amrit's income is £27434.16.
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50Pts guys!!!! Please help me its easy!
The equation of a quartic function f(x) with zeros -2,0,1,4 and such that f(x) → ∞ as x -∞, is
Select one:
a. f(x) = x(x-2)(x+1)(x+4)
b. f(x) = -x(x-2)(x+1)(x+4)
c. f(x) = x(x+2)(x-1)(x-4)
d. f(x) = -x(x+2)(x-1)(x-4)
Answer:
c. f(x)=x(x+2)(x-1)(x-4)
Step-by-step explanation:
Where it says "as x goes to negative infinity" then "y goes to infinity" (that's the part with the infinity symbols) that means the graph is going up at it's left end. This curve is a quartic (4th degree) which means its left and right ends are kind of parabola-ish, but the middle is not the neat u-ish, v-ish shape of a parabola; it's more like a wonky, noodle-ish wavy affair. Anyway, LIKE a parabola when the beginning of the equation is positive, the two ends point up. That's what's happening here and so we can eliminate b. and d. as potential answers.
Since -2, 0, 1, 4 are zeros (which are solutions...and also x-intercepts) we can find the factors of the function.
If x = -2
ADD 2 to both sides.
x + 2 = 0
This means (x+2) is a factor.
This is enough info to select answer c. but let's verify the other factors.
If x = 1
SUBTRACT 1 from both sides.
x - 1 = 0
Thus means (x - 1) is a factor.
If x = 4
SUBTRACT 4 from both sides.
x - 4 = 0
(x - 4) is a factor.
You can see c. has all these factors as well as x, because x=0 already, so x is a factor too.
I think of this as a working backwards problem, bc usually you have to factor and solve. This one, you have solutions (which are zeros and x-intercepts) and work backwards to find factors and multiply them together to find the function.
Philip pitched 1 2/3 innings on Monday and 3 1/3 innings on Wednesday. How many innings did he pitch in all? Philip pitched total innings.
The required total number of innings are 7.5.
What is mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
According to question:We have,
1 (2/3) innings on Monday and 3 (1/3) innings on Wednesday.
Total innings = 1 (2/3) + 3 (1/3)
= 5/2 + 10/2
= 15/2
= 7.5 innings.
Thus, total innings are 7.5.
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I need help with these four problems please
Solve for x: 1:5x = 30
Solve for x: 2/3x = - 12
Solve for x: 2/3x - 1 = 5
Solve for x: 4(x - 2) - 3 = 9
Answer:
x = 20
x = -18
x = 7/15
x = 5
A Scottish dance team used 140 yards of tartan to make
dancing skirts. The heights of the team members vary. The skirt
3
pattern for the shorter members uses 3- yards of fabric, and
4 3
the skirt pattern for the taller members uses 4 yards of fabric.
4
Let s represent the number of shorter skirts and t represent the
number of longer skirts. Which equation represents the
relationship between the number of short skirts and the number
of long skirts that were made?
A
C
3 3
3 +4
4 4
3
3
st=140
140
3 3
4 4
B s+t=3 +4
D
-t=140
The equation showing the relation between shorter and longer skirt is 3s+4t = 140.
Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.
The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.
So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,
So, if there are s short skirts and t long skirts,
So,
The relation will be =
3s + 4t = 140
Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.
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An aircraft encounters a 20 knot crosswind and makes NO heading correction. After 1 hour of flight, how far off course would the aircraft be
The aircraft will be 20 nautical miles off course after 1 hour of flight.
The distance the aircraft will be off course after 1 hour of flight can be calculated using the formula:
distance off course = (crosswind speed) x (time)
In this case, the crosswind speed is 20 knots and the time is 1 hour. So, the distance off course is:
distance off course = 20 knots x 1 hour = 20 nautical miles
Therefore, the aircraft will be 20 nautical miles off course after 1 hour of flight.
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Is the GCF right yes or no.
Answer:
yes
Step-by-step explanation:
Answer:
YES, THE GREASTEST COMMON FACTOR IS 7
Step-by-step explanation:
42 = 2 X 3 X 7
154 = 2 X 7 X 11
A juice and two sandwiches cost $70.00. A juice and four sandwiches cost $130.00. What is the cost of a sandwich?
Answer:
a sandwich = $30
Step-by-step explanation:
Reason why is because when it added 2 more sandwiches it added 70 with 30 2 times which equals 130.
Please help ASAP!!!!!!!
Answer:
The answer is B
Step-by-step explanation:
Solve the exponential equation. 16x = 0.5 -4 -1/4 1/4
Answer:
x = -1/4
Step-by-step explanation:
16 ^x = 1/2
Rewiting as
2^4^x = 2 ^ -1
We know that a^b^c = a^(b*c)
2 ^ (4x) = 2^ -1
The bases are the same so the exponents are the same
4x = -1
Divide by 4
4x/4 = -1/4
x = -1/4
∠ABC = 5x degrees, ∠CBE = 9x + 12, ∠ABE = 180. What is the value of x?
Answer:
x=40.25
Step-by-step explanation:
Well you didn't state what the relationships of the angles to each other were but I can only assume that they're the inside of a triangle or vertical angles so you would do
5x+180=9x+19
and then solve and x would equal 40.25
help me out please will give brainleist
Answer: A z=9
Step-by-step explanation:
Answer:
z = 12
Step-by-step explanation:
To understand the equation, you must first know that m∠a = 108°. It equals that because a regular five-sided polygon has an interior angle of 108° each.
Next, you would want to group all constants to the right side of the equation. By doing so, you want to subtract 72 from both sides.
(3z + 72) - 72 = 108 - 72
3z = 36
Lastly, you want to isolate the z by dividing 36 by 3.
z = 36 ÷ 3
z = 12
PLS HELP ASAP
MAKE A NUMBER LINE AND MARK ALL THE POINTS
A number line that represent the values of x is shown in the graph attached below.
What is a number line?In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0):
x < - 1 or x > 1
-1 > x > 1
-3 < x ≤ 1
-5 ≤ x ≤ 0
In this scenario and exercise, we would use an online graphing calculator to plot each of the inequality as shown in the graph (number line) attached below.
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What is the equation of the line that passes through the point (-5,4)(−5,4) and has a slope of 3/5?
Answer: y = 3/5x + 7
Explanation:What we know:
The final equation will be in the form y=mx+bThe slope (m) is 3/5The slope must go through the point (-5,4)How to solve:
By substituting the point the slope passes through into slope-intercept form, we can calculate the y-intercept (b.) From here, we can use our slope and y-intercept values to set up the final equation.
Process:
Finding the y-intercept
Set up equation y = mx + b
Substitute 4 = 3/5(-5) + b
Simplify 4 = -3 + b
Simplify +3 +3
Solve 7 = b
Creating final equation
Set up equation y = mx + b
Substitute y = (3/5)x + 7
Answer: y = 3/5x + 7Check:
If you graph this equation (a good tool to use is desmos graphing calculator,) then this equation creates a line that has a slope of 3/5 and passes through the point (-5,4)
Which is bigger -6 or -8
Hand me over the answers of B and C or perish
write a numerical expression Add 91, 129, and 16, and then divide
by 44. hurry i need help
Answer:
Step-by-step explanation:
5.364
A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3
Answer:(b) step 1
Step-by-step explanation:
The wrong step in the student's workings is step 1
How to determine the wrong step?The equation is given as:
x^2 - 2x - 8 = 0
Expand the equation
x^2 + 2x - 4x - 8 = 0
Factorize the equation
x(x + 2)- 4(x + 2)
Factor out x + 2
(x - 4)(x + 2) = 0
The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0
This means that the step 1 of the student's step is wrong and incorrect
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Temperature: The formula C= 5/9 (F-32) gives the temperature in degrees celsius for a given temperature in degrees fahrenheit. what is the temperature in degrees celsius when the temperature is 68 degrees fahrenheit?
Answer:
Use the formula C= 5/9 (F-32 degrees) to find the Celsius temperature that is equivalent to the 59 degrees Fahrenheit. Question 116085: Use the formula C= 5/9 (F-32 degrees) to find the Celsius temperature that is equivalent to the 59 degrees Fahrenheit. C=15 ANSWER.
Step-by-step explanation:
The formula C= 5/9 (F-32) gives the temperature in degrees celsius for a given temperature in degrees Fahrenheit, the temperature in degrees celsius would be 20° Celcius the temperature is 68 degrees Fahrenheit.
What is the kelvin scale of temperature?It is a scale of temperature used to measure the temperature, the kelvin scale of temperature is also known as the absolute scale of temperature.
The Standard International unit of thermodynamic temperature is the kelvin, often known less frequently as the degree Kelvin. The formal definition of one kelvin is 1/273.16 of the thermodynamic temperature of pure water's triple point.
It is impossible to have kelvin temperature in a negative value.
For the given problem for calculating the temperature in degrees Celcius
formula C= 5/9 (F-32) is used where C is the temperature in degrees Celcius and F is the temperature in degrees of Fahrenheit
As the given temperature in the fahrenheit scale is 68°
C= 5/9(68-32)
C= 20° Celcius
Thus, the temperature in degrees Celcius comes out to be 20°.
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(Ignore the C that was answered I don’t think it’s correct)
Angelo wants to graph the quadratic function shown.
Answer:
c is actually correct lol
Step-by-step explanation:
g(x) = (x-4)(x+2)
set both (x-4) and (x+2) equal to zero
x-4=0
x=4
& bx+2=0
x=-2
c has 4 and -2 as x values
Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *
Answer:
2740.5
Step-by-step explanation:
This is what I got why I did was multipley them
Answer:
2740.5
Step-by-step explanation:
This is what I got when I multipled
Fatima is taking a test that is 45 minutes long.
She finishes the test at 10:50 a.m.
What time did she start the test?
Answer:10:05
Step-by-step explanation:
subtract 45 from 50!
Answer:
She started the test at 10:05 am
Step-by-step explanation:
Take the end time and subtract the time of the test
10:50-45 = 10:05
She started the test at 10:05 am
use the compound interest formula. A=P(1+r)^t and the given information to solve for r. A = $3000P = $2400t = 8 r = ____% (round to the nearest hundredth)
Replacing in the formula and solving for r, we have:
\(\begin{gathered} A=P\mleft(1+r\mright)^t \\ 3000=2400(1+r)^8\text{ (Replacing)} \\ 1.25=(1+r)^8\text{ (Dividing by 2400 on both sides of the equation)} \\ \sqrt[8]{1.25}=1+r\text{ (Taking the eighth root on both sides of the equation)} \\ 1.028=1+r\text{ } \\ 0.0283=r\text{ (Subtracting 1 from both sides of the equation)} \\ \text{The answer is 2.83\% after converting the decimal number to percentage.} \end{gathered}\)