Answer:
A=2(wl+hl+hw)
A=2(6ft×7ft+6ft×7ft+6ft×6ft)
A=2(42ft²+42ft²+36ft²)
A=2(120ft²)
A=240ft²
Step-by-step explanation:
giving crown
1) At the store, 2 pounds of beans cost $3.15, 5 pounds of rice cost $7.50, 4 pounds of cabbages cost $4.54, and 7 pounds of alfalfa cost $8.95. Which item has the lowest unit price?
(A) Beans(B) Rice(C) Cabbages(D) Alfalfa
2) Peanuts are sold at the general store in the following quantities: 2¢ for one peanut; 50 peanuts for 99¢, 100 peanuts for $1.99, and 50,000 peanuts for $1000. Which quantity has the lowest unit price?
(A) 1 peanut(B) 100 peanuts(C) 50 peanuts(D) 50,000 peanuts
3)The ratio of trees to shrubs in the garden was 7 to 13. If there were 273 shrubs in the garden, how many trees were there?
(A) 420(B) 147(C) 1911(D) 507
Answer:
3) = B
Explanation:There are 147 trees.
7. Which set of points could represent
a linear function?
A {(2, 1), (5,3), (6, 7), (7, 11)}
B ((2.-1), (5,3), (8, 7). (11.11 )}
C {(2, -1), (5,5), (8,7), (11, 11 )}
D (5.-1), (5,5), (8,7), (11, 11)}
Answer:
B ((2.-1), (5,3), (8, 7). (11.11 )}
Step-by-step explanation:
Linear function:
The rate of change is always the same.
Item a:
x = 2 to x = 5 -> y = 1 to y = 3. Rate of change of 2/3.
x = 5 to x = 6 -> y = 3 to y = 7. Rate of change of 4.
Different rates of change, so not linear.
Item b:
We can look that for each point, when x changes by 3, y changes by 4, so the rate of change is the same and this set of points represents a linear function, and the answer is option b.
Distributions and Comparing Data Project
Round all answers to the nearest tenth. Present your work in a neat, legible way. Show all work.
Given the data set (16 values):
8, 6, 10, 5, 7, 1, 6, 11, 5, 13, 14, 8, 11, 9, 8, 6
1. Create a histogram and a box plot to represent this data set. What is the shape of the data
representation? Explain your reasoning.
2. Which measure of center and spread would you use to represent this data? Explain your reasoning.
3. Use a random number generator to generate a set of 15 numbers between 1 and 20. Create a
histogram and box plot to represent your data set. Calculate measures of center and spread. Which
measure of center and spread would you use to represent your data?
For questions 6-9 refer to the box plots (Assume their positions are on same number line). Write your
Class A
Class B
Class C
Class D
o
4. Which class(es) appear to have the most consistent scores? Explain your reasoning,
Answer:
1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values
The shape of the box plot created with MS Excel is approximately evenly distributed
2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class
3. Part A
The 15 numbers between 1 and 20 generated by a random generator are;
1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11
The measure of center is the mean = (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3
The measure of spread used is the variance, s² = 32.38
[tex]Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n - 1}[/tex]
[tex]{\sum \left (x_i-\bar x \right )^{2} }[/tex] = 453.333
n = 15
s² = 453.[tex]\overline 3[/tex]/(15 - 1) = 32.38
Part B
The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation
Step-by-step explanation:
− 10x− 6y = 12
4x+ 7y =− 14
x=0, y=-2
tell me if u need the explanation
A chemist has a container of 12% peroxide solution and a container of 20% peroxide solution. She needs to mix the two solutions to create 100 mL of a 14% solution. If x represents the amount of 12% peroxide solution and y represents the amount of 20% peroxide solution she needs, which matrix equation can determine the amount of each solution she needs to make the 14% solution?
Answer:
[tex]0.12x+0.2y=14,\:x+y=100\quad :\quad x=75,\:y=25[/tex]
Step-by-step explanation:
.12x + .2y = 14
x + y = 100
Answer:
Its B
Step-by-step explanation:
Help fast
Find all values of x that make the equation true.
Answer:
x=10
Step-by-step explanation:
Solve for x
Need help asap
Answer:
[tex]x=55[/tex]
Step-by-step explanation:
Corresponding angles of two parallel lines are always equal. The angle on "top" of [tex]2x+6[/tex] corresponds with the angle marked as [tex]x+9[/tex]. Therefore, its measure must also be [tex]x+9[/tex].
Since these two angles form one side of a line which has 180 degrees, we have the following equation:
[tex]2x+6+x+9=180[/tex]
Combine like terms:
[tex]3x+15=180[/tex]
Subtract 15 from both sides:
[tex]3x=165[/tex]
Divide both sides by 3:
[tex]x=\frac{165}{3}=\boxed{55}[/tex]
Please hurry I will mark you brainliest
What is the slope of this?
Answer:
Step-by-step explanation:
you can use the rise over run technique, where you count how many units you go down or up, left or right to get to the next point. or use the slope formula :
(y2-y1)/(x2-x1)
the pairs given :
(1,6) and (3,2)
(2-6)/(3-1) = -4/2 = -2
-2 is the slope. the line is going downwards so there is a negative slope
The length L of the base of a rectangle is 5 less than twice its height H. Write the algebraic expression to model the area of the rectangle.
The length L of the base of a rectangle is 5 less than twice its height H. Then the algebraic expression be, area of rectangle = 2H² - 5H.
What is the algebraic expression to model the area of the rectangle?Let, the given information be "The length L of the base of a rectangle is 5 less than twice its height H".
L be the length of the rectangle
H be the height of the rectangle
By converting the given information into an algebraic expression, we get
Length = 2H - 5
The area of a rectangle is given by the formula;
Area of rectangle = L [tex]*[/tex] H
Where L is the Length.
H is the Height.
Substituting the values into the formula, we have;
Area of rectangle = (2H - 5) [tex]*[/tex] H
Area of rectangle = 2H² - 5H
Therefore, the area of rectangle = 2H² - 5H.
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Please help ASAP!!!
What is the value of X
Answer:
x=5
Step-by-step explanation:
since this is an isosceles triangle, this means that the two base angles are equal. therefore, 8y-7=73°, meaning that y = 10° (although we don't really need to know that since you're just supposed to find x).
the angles of a triangle add up to 180°, so we can add all the angles and set them equal to 180° to find x.
6x+4+73+73=180
6x+150=180
6x=30
x=5
If 40% of a number is equal to two-third of another number, what is the ratio of the first number to the second number.?
Answer:
5:3
Step-by-step explanation:
40% = 2/5
If the numbers are x and y, then
2/5 x = 2/3 y
Divide both sides by 2/5
x = (2/3 * 5/2)y
x = 10/6 y
x = 5/3 y
So the required ratio is 5 : 3.
Checking this result:
10% of 5 = 2
2/3 of 3 = 2 also.
Emily says that the lengths of the sides of her prism are 6 inches 5 inches
and 3 inches. Is Emily correct? Use words and numbers to explain why or
why not.
pls answer correctly and explain
thx
Answer:
36n = 360
Step-by-step explanation:
A dozen is 12
3 dozen is 3*12 = 36
36 * n boxes = 360
36n = 360
Which equation represents the graph?
y=3x²-4
y=-3x²-4
y=-3x²+4
y=3x²+4
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.
Answer:
Y = 1/4 x -3
Step-by-step explanation:
x1 y1 x2 y2
0 -3 -8 -5
ΔY -2
ΔX -8
slope= 1/4
B= -3
Y =0.25X +-3
6x8x8 is it actually 384?! Please show me how!
Answer:
If it's hard to add together, I think you should get a calculator
1. Una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo. Se les dieron 3 opciones: deportes, películas o musicales. El resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas. a) ¿Cuántas prefieren ver sólo deportes? b) ¿Cuántas prefieren ver sólo un programa de televisión? c) ¿Cuántas prefieren ver películas o musicales?
Answer:
A) 89 personas prefieren ver sólo deportes.
B) 122 personas prefieren ver sólo un programa de televisión
C) 33 personas prefieren ver películas o musicales.
Step-by-step explanation:
Dado que una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo, y se les dieron 3 opciones: deportes, películas o musicales, donde el resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas; para determinar A) cuántas prefieren ver sólo deportes, B) cuántas prefieren ver sólo un programa de televisión; y C) cuántas prefieren ver películas o musicales, se deben realizar los siguientes cálculos:
A)
130 - 25 - 10 - 6 = 89
B)
80 - 25 - 20 - 6 = 29
40 - 20 - 10 - 6 = 4
89 + 29 + 4 = 122
C)
29 + 4 = 33
Instructions: Fill in the last step of solving the quadratic equation by factoring. 3x2−2x−5=0 Step 1: Rewrite middle term. 3x2−5x+3x−5=0 Step 2: Group terms together and find GCF. (3x2−5x)+(3x−5)=0 x(3x−5)+1(3x−5)=0 (3x−5)(x+1)=0 Step 3: Apply the Zero Product Property. 3x−5=0 or x+1=0 Step 4: Solve. x= or x=
Answer:
x = (5/3)
x = -1
Step-by-step explanation:
[tex]3x^2 -2x - 5 =0\\\\(3x^2+3x) + (-5x - 5) = 0\\\\(3x-5)(x+1)=0\\\\\left \{ {{3x-5=0} \atop {x+1=0}} \right.\\\\===========\\\\3x - 5 = 0\\\\3x - 5 + 5 = 0 + 5\\\\3x = 5\\\\\frac{3x=5}{3}\\\\x = \frac{5}{3}\\\\===========\\\\x + 1 = 0\\\\x + 1 - 1 = 0 - 1\\\\x = -1 \\\\===========\\\\\boxed{\text{Therefore:}}\\\\\boxed{ x = \frac{5}{3} \text { or } x = -1}[/tex]
You would just need to solve the two equations from step three for 'x'.
Hope this helps you.
a = 3d
work out the value of 'a' when , d= 5
Answer:
15
Step-by-step explanation:
a = 3d
Let d=5
a = 3*5
a = 15
CAN SOMEONE HELP ME PLEASE!
9514 1404 393
Answer:
FalseFalseTrueStep-by-step explanation:
1. All of the x-values are unique, so the relation is a function. The statement is False.
__
2. It is true that integer values of x in the interval 3 ≤ x ≤ 8 are the domain of the function. However, the inequality does not limit values of x to being integers. x=3.5 satisfies the inequality, but is not in the domain. The statement is False.
__
3. The range of the function is the set of y-values. The statement is True.
Guided Practice
Which model is most appropriate for the set of points?
(–3, 6), (–1, 0), (0, –1), (1, –1.5)
A.
exponential
B.
quadratic
C.
linear
Answer:
B. quadratic
Step-by-step explanation:
Answer: The model that is most appropriate for the set is: Quadratic
Answer:
exponential
Step-by-step explanation:
Just took the test
The coach of a lacrosse team bought ice cream cones to celebrate a victory. A single-scoop cone was $3 and a double-scoop cone was $5 The coach bought 15 cones and paid $57. A system of equations describing this situation could be written in the form below where s represents the number of single cones andd represents the number of double cones. What is the sum of A, B, C and E?
Answer:
s=9
d=6
Step-by-step explanation:
s+d=15
3.s+5.d=57
⇒s=9 và d=6
The sum of A, B, C, and E is 23. Let's set up a system of equations based on the given information: s: number of single-scoop cones
d: number of double-scoop cones
1. The coach bought 15 cones in total:
s + d = 15
2. The cost of a single-scoop cone was $3 and the cost of a double-scoop cone was $5, and the total payment was $57:
3s + 5d = 57
Now, let's find the values of s and d by solving the system of equations.
First, we can use the first equation to solve for s in terms of d:
s = 15 - d
Now, substitute this value of s into the second equation:
3(15 - d) + 5d = 57
Now, solve for d:
45 - 3d + 5d = 57
2d = 57 - 45
2d = 12
d = 6
Now that we have the value of d, we can find the value of s using the first equation:
s = 15 - d
s = 15 - 6
s = 9
So, the number of single-scoop cones (s) is 9, and the number of double-scoop cones (d) is 6.
Now, let's find the sum of A, B, C, and E:
A: The number of single-scoop cones (s) is 9.
B: The number of double-scoop cones (d) is 6.
C: The cost of a single-scoop cone is $3.
E: The cost of a double-scoop cone is $5.
A + B + C + E = 9 + 6 + 3 + 5 = 23
So, the sum of A, B, C, and E is 23.
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work out the length of ab
Answer:
AB = 2√137
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = 22 cm
b = 8 cm
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: (22 cm)² + (8 cm)² = c²Evaluate exponents: 484 cm² + 64 cm² = c²Add: 548 cm² = c²[Equality Property] Square root both sides: 2√137 cm = cRewrite: AB = 2√137Answer:
AB= 2√137 cm
Step-by-step explanation:
because we have a right triangle we apply the Pythagorean theorem
hypothenuse² = side² + side²
AB² = BC² + AC², substitute the given sides BC=8 and AC=22
AB² = 8² + 22² , square the numbers and apply the square root to both side
AB = √(64 + 484), add the numbers
AB = √548, simplify the square root
AB= 2√137 cm
What are the steps i need to do (along with the answer) to 9^x = sqrt of 729?
Answer:
last option is correct 3/2
Answer:
x = 3/2
Step-by-step explanation:
9^x = 729 ^ 1/2
We need to get the bases the same
729 = 9^3
9^x = 9^3 ^ 1/2
We know that a^b^c = a^(b*c)
9^x = 9^3/2
Since the bases are the same, the exponents are the same
x = 3/2
Your employer offers a 401(k) plan in which they will match 100% of
your contributions, up to 5% of your salary. Suppose you make
$35,000 in a given year, and you contribute $4,000.
Answer:
they will match 5% of 35,000 = $1750
so you total would be $5,750
Step-by-step explanation:
A bakery sold a total of 500 cupcakes in a day, and 83% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?
Answer:
percent * base = amount
.83 * 500 = amount
amount = 415
Step-by-step explanation:
Find the value of the expression 8x^3 if x=0
Please read below. Thank you.
2+3=5cm
Step-by-step explanation:
2 and 3 would have to be added together to get the radius of the circle, resulting in the answer being 5. 2+3=5cm that's your answer
The equation of circle with center (h,k) and radius r units is
(x - h)^2 + (y - k)^2 = r^2
The equation of the circle with center (2,3) and radius 5 cm is
= (x - 2)^2 + (y - 3)^2 = 5^2
= x^2 - 4x + 4 + y^2 - 6y + 9 = 25
= x^2 + y^2 - 4x - 6y - 12 =0
hope it helps and is right
Find the equivalent percent for ¾
3/4 is equivalent to 75%.
To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.
Answer:
75%....3/4 expressed as a percentage is just multiplying 3/4 and 100
find the missing length
Answer: x = 120
Step-by-step explanation:
Okay so you have three similar right triangles. To find x, you can set up an proportion [tex]\frac{shorter leg}{long leg} = \frac{64}{x} = \frac{x}{225}[/tex] since similar figures are in proportion. By cross multiplying and finding the square root of x^2, you result in x equaling 120.