Answer:
$185.94
Step-by-step explanation:
5,867+2,510= 8,377
8,377÷50c= 167.54
167.54+18.40= $185.94
A scale model of a large, three-dimensional “real world” object uses a scale of 0.5 in. = 50 ft.
Fred was only able to measure the model using metric units. He measured the length of the model as 372.5 mm.
Fred knows that 1 inch = 2.54 cm and that 1 cm = 10 mm.
What is the approximate length of the actual “real world” object?
A.
244.3 ft
B.
122.2 ft
C.
2,932 ft
D.
1,467 ft
The approximate length of the actual object is 1465 ft, which is closest to option D.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
First, let's convert the length of the model from millimeters to inches:
372.5 mm = 372.5/10 cm = 37.25/2.54 in ≈ 14.65 in
Next, we can use the scale of the model to find the length of the actual object in feet:
0.5 in. = 50 ft.
So, 1 in. = 100 ft.
Therefore, the length of the actual object in feet is:
14.65 in x (100 ft/in) = 1465 ft
Therefore, the closest length is 1467 feet.
To learn more about the scale factor;
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Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
Answer: there iis none so cose zero
Step-by-step explanation:
Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
expand and simplify (x+1)(x+9)
Expansion : [tex](x+1)(x+9) = x(x+9) + 1(x+9) = x^{2} +9x + x + 9[/tex]
Simplify : [tex]x^{2} +10x + 9[/tex]
Answer:
[tex]\huge\boxed{ \bf\:x^{2} + 10x + 9}[/tex]
Step-by-step explanation:
[tex](x + 1)(x+9)[/tex]
Let's expand it at first.
[tex](x + 1)(x + 9)\\= x (x + 9) + 1 (x + 9)\\= x^{2} + 9x + x + 9[/tex]
Now, simplify it.
[tex]x^{2} + x + x + 9\\= \boxed{ x^{2} + 10x + 9}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
A dragon flew 300 miles from his castle to visit a friend. Flying with the wind, his trip took 2 hours. His return trip against the wind took 3 hours. What was the speed of the wind and the speed of the dragon in still air?
Please help me. I WILL mark brainliest and give lots of points.
Answer:I’m not sure about the wind but the speed of the dragon is 125mph
Step-by-step explanation:Remember,
Speed=Distance/Time
Distance=Speed x Time
Time=Distance/Speed
Knowing that the distance in both trips was the same, we can say that he flew his trip 150mph (Speed=300/2) the first time and 100mph (Speed=300/3) the second time. Next, we find the average of 150 and 100 and that is (100+150)/2 which is 125. I’m sorry I couldn’t find the speed of wind, but in my defense, I’m only in 6th grade. Hopefully that helped you, good luck!
Answer:
Speed of the wind was
25 miles per hour.
Speed of Mighty Dragon 125 was
miles per hour.
Step-by-step explanation:
math lel
A student solves the following equation for all possible values of x: startfraction 8 over x 2 endfraction = startfraction 2 over x minus 4 endfraction his solution is as follows: step 1: 8(x – 4) = 2(x 2) step 2: 4(x – 4) = (x 2) step 3: 4x – 16 = x 2 step 4: 3x = 18 step 5: x = 6 he determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. which best describes the reasonableness of the student’s solution? his solution for x is correct and his explanation of the extraneous solution is reasonable. his solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x. his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x. his solution for x is incorrect. when solved correctly, there are no extraneous solutions.
Answer:
Keep it simple c da answer
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Which sentence is correct?A.B.C.D.
Answer: B is correct
Step-by-step explanation:
if you do 2 ÷ 5 you get 0.4. But that isn't an option. So, the only other possibility would be -2 ÷ 5 which gives us -0.4, and that makes sense.
I'm not the greatest at explaining this one but hopefully, this helps!
a 2. At what price should a shopkeeper sell a cupboard to make a profit of 10% while the cost price is Rs. 3950?
Step-by-step explanation:
10/100×3950
=395
3950+395
=4345
What is the slope-intercept formula?
Answer:
To find slope intercept, you must use the substitute term for slope, m, and then use the following equation. ↓
[tex](y = mx+b)[/tex]
Next, you want to use these terms to help you solve for b. ↓
[tex]Slope = m\\Points = x, y\\y-intercept = b[/tex]
Answer:
y=mx+b
Step-by-step explanation:
The slope intercept form is y=mx+b
M = slope
B = y-intecept
and when you substitue the numbers for the variables then you have it in slope-intercept formula
I hope it helps! Have a great day!
JellyBeanie~
solve the system of equations shown below. 2x-6=-12 x=2y=14
Answer:
please the question is not clear
Find m
S
12x +4
G
40°
F
E
D
4x
Answer: C
Step-by-step explanation:
What is the FIRST STEP to solve this equation?
3x+2=17
Question 5 options:
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
2nd option I believe
Step-by-step explanation:
subtract 2 from both sides
Answer:
The first step is to subtract from both sides
Step-by-step explanation:
if you do this it's method of balancing equations whereby you have. 3x+2-2=17
Complete each sentence with minimum or maximum and the corresponding numeric values.
The
value of f(x) = –|x – 4| – 5 is
when x =
.
The
value of f(x) = x2 – 2x + 1 is
when x =
.
Answer:
First problem: max when x = 4
Second problem: min when x = 1
Step-by-step explanation:
The graph of f(x) = –|x – 4| – 5 is a translation of that of g(x) = -|x|. The vertex of the latter is (0, 0). First this must be translated 4 units to the right and then the resulting graph 5 units downward. The vertex of this translation is (4, -5). Since this graph opens downward, this (4, -5) is the maximum function value, that is, when x = 4.
The graph of f(x) = x2 – 2x + 1, or (better yet) f(x) = x^2 – 2x + 1, or
f(x) = (x - 1)^2 + 0, is that of a parabola that opens upward and has its minimum at x = 1, or (1, 0).
What is the recursive rule?
Question 2 options:
an = an+1 + 500; a1 = 30,000
an = an−1 + 30,000; a1 = 500
an = an−1 + 500; a1 = 29,500
an = an−1 + 500; a1 = 30,000
Mr. Red's salary is an illustration of an arithmetic sequence
The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000
How to determine the recursive formula?From the complete question, we have the explicit rule of Mr. Red's salary to be
an = 500n + 29500
Where:
First term, a1 = 30000Common difference, d = 500The above means that:
The difference between a term and the next term is 500.
So, the recursive rule is:
an = an−1 + 500
Recall that:
a1 = 30000
Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000
Read more about arithmetic sequence at:
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The vertical axis in a coordinate plane is the y-axis. true of false
Answer:True
Step-by-step explanation:The y-axis is vertical and the x is horizontal
Order: abc 1500 mg. stock: abc 2.2 g/3 ml. how many ml(s) will you give? (round the answer to the nearest tenth)
The amount of ml required for the 1500mg order is 2.1ml
Conversion of grams to milligramConversion factors are used to convert units from one form to another.
Using the conversion factor
2.2g = 2200mg
x = 1500mg
Find the ratio of the expressions
2.2/x = 2200/1500
2200x = 2.2 * 1500
2200x = 3300
X = 3300/2200
x = 1.5grams
Since the dosage is 2.2 g/3 ml, then for 1.5grams
Volume required = 1.5*3/2.2
Volume required = 2.1 ml
Hence the amount of ml required for the 1500mg order is 2.1ml
Learn more on conversion here: https://brainly.com/question/97386
Select all the expressions that are equivalent to the following calculation add 43 and 25 then multiply by 8.
Answer:544
Step-by-step explanation:43 + 25 = 68
68 × 8 = 544
Giving Brainliest!
(This is very easy!)
Miss Gonzales opened an account with a deposit of $2,000. The account earned annual simple interest. She did not make any additional deposits or withdrawals. At the end of 6 years, the balance of the account was $2,696. What is the annual interest rate on this account ?
Answer:
I think its 22.5 or 18% if its the rate then its 22.5 I believe
what is the angle of elevation of the sun when the shadow of a pole of 18m high is 6√3m long? ( i need step by step explanation pls I'm having a class test tmr pls help)
Answer:
See diagram below
Step-by-step explanation:
arctan (angle ) = 18 / (6 sqrt3) = 60 degrees
Step-by-step explanation:
height of pole = 18m = p
length of shadow = 6[tex]\sqrt{3}[/tex] m = b
now,
tan α = p/b
= 18/6[tex]\sqrt{3}[/tex]
= [tex]\sqrt{3}[/tex]
or, tan α = tan 60
α = 60
Therefore angle of elevation of the sun is 60.
1+1=? My teacher really wants to test my knowledge, so someone confirm this question for me
Answer:
This is a pretty tricky question but if I'm correct it might be 2
PLEASE HELP ME I NEED IT DONE ASAP!!
what's the question? Cause the pic doesn't make it clear on what we need to solve.
1. Simplify the radical V3c^2/v27
Hi! To solve this problem, your first step is to:
c2
Simplify ———
v27
The Equation is at the end of step 1: c2
(v3) • ———
v27
Now STEP 2:
Dividing exponential expressions :
2.1 v3 divided by v27 = v(3 - 27) = v(-24) = 1/v24
After we done this, your Final result is: c2
———
v24
write down
the largest 5 digit
and factorize it.
Answer:
99999
Five Digit Numbers
The smallest five-digit number is 10000 and the greatest five-digit number is 99999.
Step-by-step explanation:
solve for c
x^(2)+12x+c
Answer:
14x+c
Step-by-step explanation:
I hope it's to help
Write the equation to represent the new function. Translated 2 units left and 9 units down.
Answer:
y= -2x-9
x would move left or right, and up and down is y
left or down are negative and up or right are positive
Step-by-step explanation:
how this helps if do mark brainllest pls! :)
If f(x) is a linear function such that f(2)= 5 and f(4) = 13, f(x) = ?
A) 3x - 4
B) 4x - 3
C) 4x + 3
D) 1/4x + 9/2
Answer: you are on your own.
Step-by-step explanation:
The equation of the linear function f(x) is f(x) = 4x - 3. So, the answer is B) 4x - 3.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
We can use the two given data points to determine the equation of the linear function f(x) using the slope-intercept form:
f(x) = mx + b
where m is the slope and b is the y-intercept.
First, we can find the slope of the function by using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (2, 5) and (x₂, y₂) = (4, 13)
m = (13 - 5) / (4 - 2) = 4
Now we can use the slope and one of the given points to solve for the y-intercept:
5 = 4(2) + b
b = -3
Therefore, the equation of the linear function f(x) is f(x) = 4x - 3.
Learn more about function here:
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It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.
A. cube
B. cylinder
C. sphere
D. cone
Answer:
B (cylinder)
Step-by-step explanation:
Two circular bases which are parallel and congruent :
This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.
The cube doesn't have any circular bases.
The sphere doesn't have any faces, nor edges.
A cone has a circular base, but it doesn't have two.
A cylinder has two circular bases, as well as they are parallel and congruent.
So, your answer is B (cylinder).
Hope this helped !
I NEED HELP GIVE ME ANSWER QUICK!!!!
Answer:
32.9
Step-by-step explanation:
7*9.4/2=32.9
What is the image of (-4,-2) after a reflection over the line y = -x?
Answer:
(2, 4).
Step-by-step explanation:
For y = -x the transform is:
( x, y ) reflects to (-y, - x)
So (-4, -2) reflects to (2, 4)
anybody know the answer i need help
Answer:
Each CD was $14.1.
Step-by-step explanation:
43.50 - 1.30 = 42.2
42.2/3 = 14.1
5/8 + 7/4 add these two together
Answer:
19/8
Step-by-step explanation:
[tex]\frac{5}{8} + \frac{7}{4} = \frac{5}{8} + \frac{14}{8} = \frac{19}{8} = 2\frac{3}{8}[/tex]