Answer:
(b) Length = 30 feet, width = 20 feet
Step-by-step explanation:
The scale factor is applied to the drawing dimensions to find the actual dimensions.
__
length = (6 cm) × (5 ft)/(1 cm) = 30 ft
width = (4 cm) × (5 ft)/(1 cm) = 20 ft
_____
Additional comment
You can also write the scale factor as part of a proportion:
5 ft : 1 cm :: x ft : 6 cm
Multiplying by 6 cm gives
(5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above
help me please, i have no idea what im supposed to be doing and my teacher isnt much help so im hoping someone else can help me
Answer:
(4, 2 ) and (2, 4 )
Step-by-step explanation:
xy = 8 → (1)
y = - x + 6 → (2)
substitute y = - x + 6 into (1)
x(- x + 6) = 8
- x² + 6x = 8 ( subtract 8 from both sides )
- x² + 6x - 8 = 0 ( multiply through by - 1 )
x² - 6x + 8 = 0 ← in standard form
(x - 4)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 2 = 0 ⇒ x = 2
substitute these values into (2) for corresponding values of y
x = 4 : y = - 4 + 6 = 2 ⇒ (4, 2 )
x = 2 : y = - 2 + 6 = 4 ⇒ (2, 4 )
Fifteen of the 25 students in the class are boys what percent of the students are boys
Answer:
60%
Step-by-step explanation:
15 of the 25 students are boys
number of boys over the total number of students in the class multiplied by 100% gives the percentage of boy students in the class
=15/25 ×100%
=60%
Which of the binomials below is a factor of this trinomial?
x2 + 6x-40
A. x2 + 10
B. X+6
C. *- 6
D. X-4
Answer:
D. x - 4
Step-by-step explanation:
(x - 4)(x + 10)
= x^2 + 6x - 40
A factor is something that multiplies together with something else to get a product. Here the factors are binomials and the product is a trinomial.
Arlo researched the starting salaries at the different companies that he applied to. Here is the data he found:
$24,640
$26,740
$23,620
$25,520
$24,710
$25,180
$25,520
$24,750
$24,710
$23,860
Find the mean, median, and mode of the data set. Show your work. (10 points)
Step-by-step explanation:
median -> $24.710+$25.180=$49.89
$49.98÷2=$24.945
mode -> $25.520 and $24.710
mean -> $24.640+$26.740+$23.620+$25.520+$24.710+$25.180+$25.520+$24.750+$24.710+$23.860= $249.25
$249.25÷10=$24.925
mean (add all your numbers together and then divide them by how many they are, here there are 10 numbers)
median (the middle one, if there are 2 in the middle, then you'd add those two numbers together and then divide by two)
mode (the number you see the most, mode *most*)
I hope all this helped, this took time. Take care!
find the factors of 2x^3+x^2-13x+6.
Answer: The factors would be 1 and 2.
Step-by-step explanation:
I hope that helps!! Please correct me if I am wrong and have a great day!!
On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the table
Answer:
m = 32g
Step-by-step explanation:
The proportion between m and g can be written ...
m = kg
where k is the constant of proportionality.
__
We can find its value by dividing by g:
k = m/g
Using any pair of corresponding values from the table, we find ...
k = 64/2 = 32
The relationship between m and g can be expressed by the equation ...
m = 32g
it is not 82 accidentally clicked it
Hi!
Your answer is 52.
To start off, let's start with some facts that will help us solve this:
Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.
Triangles (all of them) have angles that add up to 180 degrees.
We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:
[tex]67 +?=180[/tex]
[tex]?=113[/tex]
That angle is 113 degrees.
Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:
[tex]15+113+x=180[/tex]
[tex]128+x=180[/tex]
[tex]x=52[/tex]
Therefore, x is equal to 52.
Write an equation for the line that is parallel to the given line and that passes though the given point
y = 4x -21 (again cool name btw) :)
y=4x-3 has slope = to the coefficient of the x term = 4
all parallel lines have the same slope.
y=4x + b, where b can be any real number, so just plug in the point (4,-5) into the general equation
y=4x+b = -5 = 4(4) + b
-5 = 16 + b
-21 = b
b = -21 = the y intercept, so the equation is
y=4x -21
Mikayla drew 20 triangles and 25 circles on a piece of paper. What is the ratio of circles to triangles?
(no scams please!!)
Answer:
25/20 or 25:20 ( doesn't matter which)
Step-by-step explanation:
Circles :25
triangles :20
Answer:
25:20 or 5:4
Step-by-step explanation:
The ratio is the circle:triangle
Plug in the values.
25:20 = 5:4
Use elimination to solve the system. The solution is ( , ). 3x+1/2y=3 6x-y=2
Answer:
x=13/33 and y=12/33
Step-by-step explanation:
x=13/33 and y=12/33
Help me PLEASE. Im not smart T>T
Answer:
3 is D
4 is F
Step-by-step explanation:
Just multiple the numbers together
please help mee
Part A: If (2^6)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (5^0)x = 1, what are the possible values of x? Explain your answer. (5 points)
read the picture please
Answer:
$49.90
Step-by-step explanation:
Thats what i got :)
Wow some people get PAID to babysit ?!!? XD
A business may discriminate against a worker based on their nation of origin f t
Businesses are not to discriminate against their workers based on their nation of origin, but can discriminate based on age.
What is Age Discrimination for a Job ?Discrimination can simply be defined as favoring one person over another based on certain criteria or biases.
In almost all businesses, the law stipulates that certain criteria such as nation of orgin, race, disability among others should not be used against an indivdual. However, for age, certain age limit are permitted to be used by businesses to select employees.
Therefore, all business can discriminate against a worker using age.
Learn more about age discrimination on:
https://brainly.com/question/26408615
False:
A business may discriminate against a worker based on their nation of origin f t
No business are allowed to discriminate
y=9x^2+162x+725 Complete the square to re-write the quadratic function in vertex form
If you spend a spinner and toss a Penny what is the probability of getting gray and heads?
Answer:
The probability of getting gray = no. of gray shades / total
=> 2/7
The probability of getting head when we toss a penny = head / total ( head + tail )
=> 1/2
A(n)is used to uncover conditions and trends difficult to see by looking at individual amounts. It can be expressed as a percent, rate, or proportion.
A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.
What is ratio?Ratio is used to show or express the number of times a number is in proportion to another number.
Ratio can be inform of the following:
Example of ratio is 1:2 or 1/2.
Therefore A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.
Learn more about ratio here:https://brainly.com/question/2328454
James bought a new TV. He made an initial payment of $40 to the store, and he
will pay $20 each month until the TV is paid off. Which equation represents the
relationship between x, the number of payments James has made, and y, the
total amount that James has paid the store?
-
A: y-40x+20
B: y-20
C: y - 20x-40
D: y-20x+40
Answer:
C y = 20x +40
Step-by-step explanation:
I think there is a typo in your question
monthly payment total = 20 x
total paid so far = 40 + 20x
y = 20x + 40
A 64-ounce bottle costs $3.45. What is the cost per ounce? Round answer to the nearest cent.
Answer:
$0.05
Step-by-step explanation:
3.45 divided by 64
PLEASE HELP I NEED TO TURN THIS IN RIGHT NOW
James measures the water level from the top of a dock twice a day. The water level in the
morning is -2 feet. The water level in the afternoon is -6.5 feet. Which statement about the
relationship between the two measurements is true?
A. A water level of -6.5 feet is higher than a water level of -2 feet, as -6.5 > -2.
B. A water level of -2 feet is lower than a water level of -6.5 feet, as -2>-6.5.
C. A water level of -6.5 feet is the same as a water level of -2 feet, as -6.5 = -2.
D. A water level of -2 feet is higher than a water level of -6.5 feet, as -2> -6.5.
Answer:Letter D
Step-by-step explanation:If James is measuring the water level in the morning and it’s -2 feet and the water in the afternoon is -6.5 -2 is closer to the dock than -6.5 so it’s greater than -6.5 feet.
Given the functions below, find f(2)-g(-7).
Will give brainliest :))
Answer:
49
There u go :)
Answer:
Given the functions below, f(2) - g(-7) is -34.
Step-by-step explanation:
f(2) - g(-7)
First solve f(2).
f(x) = -|3 - 8x|
Substitute variable.
f(2) = -|3 - 8(2)|
Multiply.
f(2) = -|3 - 16|
Subtract 16 from 3.
f(2) = -|-13|
Apply absolute value.
f(2) = -13
Now solve g(-7).
g(x) = x² + 4x
Substitute variable.
g(-7) = (-7)² + 4(-7)
Raise -7 to the second power.
g(-7) = 49 + 4(-7)
Multiply 4 and -7.
g(-7) = 49 - 28
Subtract 28 from 49.
g(-7) = 21
Now with those values, lets go back to our original equation.
f(2) - g(-7)
Substitute known values.
-13 - 21
Subtract 21 from -13.
-34.
Solve this to sin , and pls explain .
I do have exams for tomorrow.
Answer:
sinΘ =1
Step-by-step explanation:
cosΘ × cosΘ/sinΘ+ sinΘ = sinΘ
cos^2 Θ/sinΘ +sinΘ =sinΘ
cos^2Θ+ sin^2Θ /sin Θ = sinΘ
1/sinΘ =sinΘ
what is the area of a 14cm square?
Answer:
The area would be 196 cm or 1.96 meters.
Step-by-step explanation:
Since it is a square, all of the sides are the same length.
So we do 14*14 to find the area.
14*14 = 196
So the answer is 196 cm or 1.96 meters.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1/4
Step-by-step explanation:
Help me please rjdjfhdhdbdbdbdbdb
Answer:
[tex]1609.1 m^{3}[/tex]
Step-by-step explanation:
The area of a triangle is 1/2 base * height.
The base of one side is 13, and the height is 30.
30 * 13 = 390
390 / 2 = 195
Now, there are six of these triangle faces, so multiply that number by six.
195 * 6 = 1170
Now, just add the area of the base:
1170 + 439.1 = 1609.1
The sum of two numbers is 41. Double the first number reduced by triple the second
number is 12. What are the two numbers?
find the angle between unit vector I and a=√3i+j
Recall that for two vectors x and y,
x • y = ||x|| ||y|| cos(θ)
where θ is the angle between them.
We have
i • (√3 i + j) = √3
||i|| = 1
||√3 i + j|| = √((√3)² + 1²) = √4 = 2
Solve for θ :
√3 = 2 cos(θ)
cos(θ) = √3/2
θ = arccos(√3/2) = π/6
(Note that we assume θ is the acute angle between the vectors.)
The weights of 1500 bodybuilders are normally distributed with a mean of 190.6 pounds and a standard deviation of 5.8 pounds.
A. About how many bodybuilders are between 180 and 190 pounds?
B. What is the probability that a bodybuilder selected at random has a weight greater than 195 pounds?
Answer:
A. 637
B. 0.2240 (4 dp) = 22.4% (nearest tenth)
Step-by-step explanation:
Normal Distribution
[tex]\sf X \sim N(\mu, \sigma^2)[/tex]
Given:
[tex]\sf \mu = 190.6[/tex][tex]\sf \sigma=5.8[/tex][tex]\implies \sf X \sim N(190.6, 5.8^2)[/tex]
Part A[tex]\begin{aligned}\sf P(180 < X < 190) & = \sf P(X < 190)-P(X\leq 180)\\& = \sf 0.4588035995-0.03380583874\\& = \sf 0.4249977608\end{aligned}[/tex]
Total number of bodybuilders = 1500
Therefore, the number of bodybuilders between 180 and 190 pounds is:
[tex]\begin{aligned}\sf P(180 < X < 190) \cdot1500 & = \sf 0.4249977608 \cdot 1500\\& = \sf 637.4966412\\& = \sf 637\end{aligned}[/tex]
Part B[tex]\begin{aligned}\sf P(X > 195) & = \sf 1-P(X\leq 195)\\& = \sf 1-0.7759602537\\ & = \sf 0.2240397463\\ & = \sf 0.2240\:(4\:dp)\end{aligned}[/tex]
PLEASEEE HELPPPP !!!!!!!!!!!!!!!!!!!!
Answer:
17.35
Step-by-step explanation:
All all divide by how many there were
Answer:
17.35
Step-by-step explanation:
Find the mean by adding all the numbers up and dividing by the amount of numbers in the data set
solve for w and y
w=
y=
Answer:
w = 45
y = 45
Step-by-step explanation:
im really sorry if i got it wrong i just want to help