Step-by-step explanation:
length × width = 24
2×length + 2×width = 22
length + width = 11
length = 11 - width
this we use in the first equation again :
(11 - width) × width = 24
11×width - width² = 24
width² - 11×width + 24 = 0
the general solution to an quadratic equation :
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = width
a = 1
b = -11
c = 24
and so we get
width = (11 ± sqrt((-11)² - 4×1×24))/2×1) =
= (11 ± sqrt(11² - 96))/2 = (11 ± sqrt(121-96))/2 =
= (11 ± sqrt(25))/2 = (11 ± 5)/2
width1 = (11 + 5)/2 = 16/2 = 8 cm
width2 = (11 - 5)/2 = 6/2 = 3 cm
and teenaged to this is then
length1 = 11 - width1 = 11 - 8 = 3 cm
length2 = 11 - width2 = 11 - 3 = 8 cm
so, it is clear. one dimension has to be 8 cm, and the other one 3 cm. it does not matter which is which.
Answer it please!!!! I need help with it!
Answer:
2=B
Step-by-step explanation:
Insert 2 in the down phrase
Answer:
answer is C.1
Step-by-step explanation:
the value is g(2)= 1
Mike is buying eight tickets for a concert. A package of five tickets costs $74.45. Individual tickets cost $17.25 each. What is the least amount that Mike can pay for eight tickets? Be sure to include a decimal point in your answer.
Answer:
$126.20
Step-by-step explanation:
Given:
Mike is buying eight tickets for a concert.
A package of five tickets costs $74.45.
Individual tickets cost $17.25 each.
To Find:
What is the least amount that Mike can pay for eight tickets? Be sure to include a decimal point in your answer.
Solve:
Since we know that:
A package of five tickets costs $74.45.
Individual tickets cost $17.25 each.
Hence we know that 5 + 3 = 8
Thus,
$74.45 = 5 tickets
Now for the 3 tickets we can do individual tickets which cost $17.25
$17.25 × 3 = 51.75
Then we add both together:
51.75 + 74.45 = $126.20
Kavinsky
3 Westbrook Elementary has 12 classes participating in field day. Each class has 24 student teams of 6 to compete in each activity. What is the minimum number of teams needed fo participate? A) 45 B) 46 47 D) 48
Answer: D 48
Step-by-step explanation:
The sales tax for an item was 26.40 and it cost 330 before tax find the sales tax rate
Answer:
8%
Step-by-step explanation:
Find sin(A), cos(A), and tan(A) for the triangle pictured
Answer:
See below ~
Step-by-step explanation:
sin (A) = opposing side / hypotenuse
sin(A) = 5√29cos(A) = adjacent side / hypotenuse
cos(A) = 2/√29tan(A) = opposing side / adjacent side
tan(A) = 5/2 = 2.5Question 7: 10 pts
For Thursday's English class, 4 students are assigned to give presentations. How many different ways can the
teacher order the student presentations?
4 ways
16 ways
24 ways
7 ways
The teacher ordered the students in 24 ways.
We have given that the total number of students is 4.
4 students are assigned to give presentations.
We have to find the arrangement of the 4 students.
What is the arrangement?
An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)
In a permutation, the order that we arrange the objects n is important.
4 students can be arranged by 4! ways.
[tex]4!=4*3*2*1\\ =12*2\\=24[/tex]
Therefore option 3 is correct.
The teacher ordered the students in 24 ways.
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Real math tutor please explain how to solve this
Answer:
D)14Step-by-step explanation:
Using the Theorem,
BA*AD=CA*AE
3x+2*6=4x-2*8
18x+12=32x-16
12+16=32x-18x
28=14x
x=2BD= BA+AD
3x+2+6
3(2)+2+6
6+2+6
14MARK ME AS BRAINLISTWilte the following equation in standard form:
Answer:
B. option is the current answer.
Step-by-step explanation:
Standard form here means, the the exponential powers of constants must be arranged in ascending order.
Here,
constant is " a ".
Exponential power ( in ascending order ) = 5, 4, 2, 1
Find an angle in the range between 0° and 360° that is coterminal with 950°
Answer:
230°
Step-by-step explanation:
950-360 =590
590-360 =230°
Find missing angle
100°
100°
X=
Answer:
200 + X
Step-by-step explanation:
All triangles are similar
AD= x-2
CD=x+3
Find the value of x
Answer:
Could you provide more context of the question?
Need help!! Giving out 100 points to who answers this right!! NEED HELP STAT
Answer: The area of the shape is 156.
Answer:156
Step-by-step explanation:
The volume of a rectangular prism, in cubic meters, is given by the expression x to the 3rd power
Answer:
power of 3
Step-by-step explanation:
that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the values of the variables. Then find the side lengths of the square.
X=_____
Y=_____
Step-by-step explanation:
I am not sure this is a square.
this could be a rectangle.
to be safe, I am following that path.
in a rectangle opposite sides are of equal length.
that means
y - 1 = 2y - 7
y = 2y - 6
0 = y - 6
y = 6
3x - 4 = 3y - 13
3x - 4 = 3×6 - 13
3x - 4 = 18 - 13 = 5
3x = 9
x = 3
as it turns out, it is a square, so we could have used every side expression to be equal with every other side expression, but better safe than sorry ...
The following figure shows a cube.
Which expression represents the surface area of the cube?
7 Choose 1 answer:
6X49
7X7X7
6X14
7+7+7+7+7+7
[tex]7[/tex] · [tex]7[/tex] · [tex]7[/tex]
Sure Hope this helps you :D
Answer:
6 x 49
Step-by-step explanation:
Khan Academy
You are at a mall and you have $40. You have already spent $7 on lunch. Write an inequality that would represent the possible amount of money you can still spend at the mall. Write a one step inequality without solving!
Answer:
y ≤ 33
Step-by-step explanation:
You have $40. You spent $7 already.
40-7=33.
You have $33 now. You can spend less or only up to $33.
Which expression is equivalent to 9(4 + r)?
Answer:
36+9r
by multiplying 9 &4 you get with 36. countinue multiplying and you also get 9r
Step-by-step explanation:
hope this helps
Johanna, Elizabeth, and Dan are preparing a chemical solution for a research project. When
working alone, either Johanna or Elizabeth can prepare the solution in six minutes. Dan can
prepare the solution in four minutes if he works alone. How many minutes will it take the thre
of them to prepare the solution if they work together?
Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are given by:
Johanna's: 1/6.Elizabeth's: 1/6.Dan's: 1/4.Hence the together rate is given by:
[tex]\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}[/tex]
[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]
[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]
7x = 12
x = 12/7
x = 1.71.
They would prepare the solution in 1.71 minutes working together.
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Gavin is selling water bottles at a baseball game to help raise money for new uniforms. Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of the bottles for $1.25 each. How much profit does Gavin make?
Step-by-step explanation:
he buys 48 bottles for $18.50.
FYI : that means he gets them for
18.5/48 = $0.385416666... per bottle
he sells all 48 bottles for $1.25 per bottle.
that means the revenue (or selling income) is
48 × 1.25 = $60.00
profit is now income minus basic costs :
profit = 60 - 18.5 = $41.50
A two-digit number is reduced by 45 when the digits are interchanged. The digit in the tens pace
of the original number is 1 more than 3 times the digit in the units place. Define variables and
write a system of equations to find the original number.
The system of equations to find the original number is;a = 3b +1 and (10a + b) - (10b +a) = 45
What is the system of equations to find the original number?From the task content;
let the number in the tens place of the original number be a and the number in the units place be b.Hence, the required system of equations is;
a = 3b(10a + b) - (10b +a) = 45On this note, the required numbers can be evaluated from the equations above;
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Write an equation of the line that passes through the point (6,-9) with the given slope m= 3
Answer:
y = 3x - 27
Step-by-step explanation:
Since the slope is three, that is the only one that can be the answer.
answer: y = 3x - 27
explanation:
equation of a straight line: y = mx + c
( m is the slope and c the y- intercept )
here m = 3 , then y = 3x + c ← is the partial equation
to find c substitute (6, - 9) into the partial equation
-9 = 18 + c ⇒ c = -9 - 18 = - 27
y = 3x - 27 ← equation of line
Robert is using the following data samples to make a claim about the house values in his neighborhood
A 5-column table with 6 rows titled Number of cans collected. Column 1 has entries 7, 8, 10, 11, 11, 14. Column 2 has entries 16, 17, 18, 18, 24, 25. Column 3 has entries 28, 29, 30, 30, 35, 37. Column 4 has entries 38, 40, 40, 41, 41, 41. Column 5 has entries 42, 42, 42, 42, 42, 43.
Students from Grover Middle School are recycling aluminum cans. The table shows the total number of cans brought in each school day for a period of six weeks. They collected a total of 862 cans. Use the drop-down menus to define the terms.
Mean:
Median:
Mode:
Range:
✔ 36
Y/6=8 or read as follows Y divided by six equals eight
Answer:
y/6=8
Multiply both sides by 6
6y/6) = 8×6
Simplify
y=48
What does the term unit fraction mean? Provide an example.
Answer:
A unit fraction is a fraction whose numerator is 1. Example is: (1/1, 1/2, 1/3)
Step-by-step explanation:
Answer:
In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole.
Step-by-step explanation:
For example: 1/4, 1/6, 1/25
Write the equation for the line in slope-intercept form.
Answer:
y=[tex]\frac{2}{3}x[/tex]+4
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex]
plus the y intercept
which is 4
The required equation in slope-intercept form is y = - [tex]\frac{2}{3}[/tex]x + 4
What is an equation?An equation represents any two expressions or statements are equal that means they are having an equal to (=) sign in brtween them.
What is slope intercept form?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept is called slope-intercept form of the equation.
How to find the slope ?Slope of a line is the inclination of the straight line towards x axis.
If a straight line passes through two points (a , b) and (c , d), then slope(m) of the straight line can be calculated by the formula,[tex]m = \frac{d - b}{c-a}[/tex]
According to the problem, the straight line passes through (6 , 0) , (3 , 2) , (0, 4) , (-3 , 6).
Slope (m) = [tex]\frac{2-0}{3-6}[/tex] = - [tex]\frac{2}{3}[/tex]
How to write the equation in slope-intercept form?The equation can be written as
y = - [tex]\frac{2}{3}[/tex]x + b
Now , this line passes thorugh (0,4). So, (0,4) will satisfy the equation∴ putting (0,4) in the equation, we get,
y = 4
∴ The required equation is y = - [tex]\frac{2}{3}[/tex]x + 4.
For check we can satisfy the point ( -3 , 6) in the equation.- [tex]\frac{2}{3}[/tex](-3) + 4 = 6
CLearly, the point satisfies the equation.
So, the equation y = - [tex]\frac{2}{3}[/tex]x + 4 is correct
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The sum of twice a number and eight is eleven.
Question 4 options:
2x+8=11
2x−8=11
2(x−8)=11
2(x+8)=11
Answer:
2x+8=11
Step-by-step explanation:
The equation 2x + 8 = 11 would be the answer.
2 (coefficient) ----> it would multiply by the unknown value represented by the common variable "x".
Because in the given situation, it says twice (means 2 multiplied by a number or a number multiplied twice by itself) then multiplication would be the order of operation used between the 2 and x.
The "and" indicates the order of operation addition, as it is proven as the only given options for the answer all equal 11.
Therefore, proving that option A is the answer.
Round 66.3899872389 to the nearest thousandth.
Answer:
66.390
Step-by-step explanation: 66.389 the 9 is thousandths, it rounds up to 66.390
A student researches the average cost of electricity, in cents per kilowatt-hour, in the United States since 2000 and creates the scatter plot
below
Electricity Costs
14
12
10
Cost per kilowatt-Hour
(cents)
8
2 4 6 8 10
Years Since 2000
Which of the following best models a linear function fitted to the data in the scatter plot?
A graph which best models a linear function fitted to the average cost of electricity (data) in the scatter plot is shown in the image attached below.
What is a linear function?A linear function can be defined as a type of function with an algebraic equation of the first order that has two (2) variables, with each of its term having an exponent of one.
In Mathematics, the resulting points of a scatter plot shows any association (correlation) between the data plotted on the graph.
Based on the average cost of electricity, a graph which best models a linear function fitted to the data in the scatter plot is shown in the image attached below.
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Solve the exponential equation. (5)^x^2=2^5x