Given:
Bedroom is a rectangle with length 5 m and width 3 m.
Elena's bedroom door is 0.08 m.
Elena's bed measures 4 cm by 3 cm.
Scale of drawing is 1 to 50.
To find:
The width of door on the scale drawing.
Actual measurements of her bed.
Step-by-step explanation:
Scale of drawing is 1 to 50.
It means, the length of sides in drawing is [tex]\dfrac{1}{50}[/tex] of actual.
Elena's bedroom door is 0.08 m.
1 m = 100 cm
0.08 m = 8 cm
Door on the scale drawing [tex]=\dfrac{1}{50}\times 8[/tex]
[tex]=0.16[/tex]
Therefore, the Door on the scale drawing is 0.16 cm wide.
Elena's bed measures 4 cm by 3 cm on the scale drawing.
Elena's bed actual measurements are
[tex]4\times 50=200cm=2m[/tex]
[tex]3\times 50=150cm=1.5m[/tex]
Therefore, the actual measurements of her bed is 2 m by 1.5 m.
if y=24 when x=6, find y when x=-4.
Answer:
[tex]\huge\boxed{y=-16}[/tex]
Step-by-step explanation:
We have to note that this represents a proportional relationship. This means that every time x increases by 1, y will increase by a proportional value.
In order to solve for proportions, we can create a proportion fraction which basically puts two variables over each other. Let's put x over y.
[tex]\frac{x}{y}[/tex]
We know that in the first fraction, x=6 and y=24.
[tex]\frac{6}{24}[/tex]
And we know that x=-4 but we have an unknown y value.
[tex]\frac{-4}{y}[/tex]
We can now set these proportions equal to each other and solve for the missing y using cross products.
[tex]\frac{6}{24}=\frac{-4}{y}[/tex] [tex]y = (24 \cdot -4) \div 6[/tex] [tex]y = -96 \div 6[/tex] [tex]y = -16[/tex]Hope this helped!
You can eat no more than 40 slices of pizza each week. If you have
pizza every day, what is the maximum number of slices (s) you can
eat each day? Round your answer to the nearest tenths place.
i have to create a linear equation and solve it
Answer: 5.7 slices
Step-by-step explanation:
7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.
Divide both sides by 7:
7x/7 = 40/7
x= 5.7
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $230 and first class tickets for $1290. She used her total budget for airfare for the trip, which was $7600. How many first class tickets did she buy? How many coach tickets did she buy?
You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
Mrs. Smith earns $3500 a month. She saves $280 a month. Savings is what percent
of her income?
Answer:
6 to 8 percent
Step-by-step explanation:
What number of grams is in 17 kilograms
Answer: 17000
Step-by-step explanation: Multiply the mass value by 1000
Another one please I am gonna Fail
Answer:
115
Step-by-step explanation:Beacsue that is way smaller than usal...the angle is 180 degress so if you do 55+65=120 so it defintly isn't 120 because that is correct so ya.
n − 10 + 9n − 3 4) −4x − 10x
Answer:
9n−14x−44
Step-by-step explanation:
the quotient of 5 times a number and 7 is equal to 10 what is the number
A parking lot is 272.5 feet long and 151.25 feet wide. How much longer is the lot than it is wide?
_____ feet
Answer:
121.25 feet
Step-by-step explanation:
Answer:
121.25 feet because 272.5-151.25=121.25
As the heart beats, blood pressure increases and
decreases. This happens cyclically at the rate of the
person's heart beat. A doctor is monitoring the blood
pressure of a patient whose heart rate is 70 beats per
minute. The maximum blood pressure over the course of
a 10-minute period is 120 mm/Hg and the minimum is 60
mm/Hg.
Find a sine function that models the person’s blood pressure as a function of time (in minutes).
Answer:
A
Step-by-step explanation:
Got it right on edge2020
The sine function that models the person’s blood pressure will be f(x) = 30 sin(Πx/5) + 90.
What is a function?Function is a relationship between two sets X and Y where Set X is called domain and set Y is called codomain.
For example f(x)= sin x+ cos x
We have,
The Blood pressure of patient with the heart rate = 70 beats/ minute
And,
In next 10 minutes,
The maximum blood pressure i.e. (a + d) = 120 mm/Hg
The maximum blood pressure i.e. (-a + d) = 60 mm/Hg
So,
Sine function works on;
f(x) = a sin(bx + c) +d
So,
Now,
Adding Maximum and Minimum blood pressure,
i.e.
(a+d)+(-a+d) = 120 + 60
⇒a + d - a + d = 180
⇒ 2d = 180
d =90
So,
NOw, substituting this value in maximum blood pressure,
i.e. (a + d) = 120
a + 90 =120
a = 30
we have time period = 10 minutes,
So,
2Π/b = 10
⇒ b = Π/5
So,
Count is started at 0.
So, c = 0,
Putting the above value,
f(x) = a sin(bx + c) +d
⇒f(x) = 30 sin(Πx/5 + 0) +90
⇒f(x) = 30 sin(Πx/5) +90
Therefore, the sine function that models the person’s blood pressure as a function of time (in minutes) will be f(x) = 30 sin(Πx/5) + 90.
Learn more about the modeling click here:
https://brainly.com/question/12070030
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Write each rational exponent as a radical.
X1/6
Answer:
i pooped myself
Step-by-step explanation:
please help
Mary is saving money for college expenses. She saves the same amount each month. She saves the same amount each month. The table shows the amount of money Mary has saved after 4 and 7 months. Which statements about the this situation are true and support the relationship as being proportional? Select all that apply.
Answer:
A, C, DStep-by-step explanation:
See attached for answer options
As per the table, the points are:
(4, 80) and (7, 140)This is linear function and the formula is:
y = mx + bm = (140-80)/(7-4) = 2080 = 20*4 + bb = 0So the function is
y = 20xThe correct answer options attached
What it the solution to this equation?
2x+3=x-4
Answer:
x = -7
Step-by-step explanation:
Solve for x:
2 x + 3 = x - 4
Hint: | Move terms with x to the left-hand side.
Subtract x from both sides:
(2 x - x) + 3 = (x - x) - 4
Hint: | Combine like terms in 2 x - x.
2 x - x = x:
x + 3 = (x - x) - 4
Hint: | Look for the difference of two identical terms.
x - x = 0:
x + 3 = -4
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
x + (3 - 3) = -3 - 4
Hint: | Look for the difference of two identical terms.
3 - 3 = 0:
x = -3 - 4
Hint: | Evaluate -3 - 4.
-3 - 4 = -7:
Answer: x = -7
?????????!!??!?!?!?!?!?!?!
Answer:
The correct answer is: The y-intercept is 4
Step-by-step explanation:
A. (correct) explanation-The y-intercept is the point where the line crosses the y-axis (vertical line). The y-intercept here is 4 because that is the point where the line crosses the y-axis
B: The x-intercept is 0 (wrong)
B is wrong because the x-intercept is the point where the line crosses the
x-axis (horizontal line)
C: (wrong) A savings account started with $8 in it
C is wrong because the initial amount is usually the y-intercept, but here the y-intercept is 4.
D: (wrong) It took 4 mins to run a mile
D is wrong because there should have been a point at the location (1,4) for this statement to be true, but there is no point there
Daniel buys a swing set priced at $788. If the sales tax is 7%, how much tax will Daniel pay? Submit
Answer:
he will pay 55.16
Explicit formula -6,-10,-14
Answer:
Tn = -6 + (n - 1)(-4)
Step-by-step explanation:
The explicit formula is this: Tn = a + (n - 1)*(d), where 'a' is the first term and 'd' is the common difference.
The first term is given to you and that is -6.
The common difference is -4 because:
d = -10 - (-6)
d = -10 + 6
d = -4
Hence: Tn = -6 + (n - 1)(-4)
Amelie is shopping for children's books and puzzle books. She wants to purchase at least 2 more children's books than puzzle books, but she can afford no more than 15 items total. If x represents the number of childrens books and y represents the number of puzzle books Amelie purchases, which point lies in the solution set?
Solve for u 20+17u= -6 + 15u simplify as much as possible.
whats is 1+1
*i cant figure it out *
Answer:
2
Step-by-step explanation:
Help needed. please only answer if you know it.
Answer:
B
Step-by-step explanation:
f(x) = -(x+3)(x+1)
The zeros are -3 and -1 so we can eliminate graph a
It is negative so it points down
This eliminates graphs c and d
.................. Simplify 9 + 7 + n.
Answer:
n+16
Step-by-step explanation:
9+7+n
Combine Like Terms
=9+7+n
=(n)+(9+7)
=n+16
Answer:
16+n
Step-by-step explanation:
9 + 7 +n
16 + n
There are 876 students in a school. There are 46 more boys than girls. How
many boys are there?
Answer:
(876 + 46) ÷ 2 = 461 boys
Answer:
876/2
=438
=438+46
=484 boys are there in a school.
please help with this, i don’t understand it.
Answer:
Im pretty sure its 50
Step-by-step explanation:
A line is 180° so you add
65 + 65 = 130
Then subtract 180
180 - 130 = 50
Hope that helps
Answer:
50
Step-by-step explanation:
The total degrees is 180 so
use the equation 65+65+x=180
simplify
130+x=180
minus 130 on both sides
x=50
Which of the following lines is parallel to the line 4x + y = 5?
Answer:
Step-by-step explanation:
Y=-4x
Serena's book collection contains 23 fiction books and 4 non-fiction books part to part or part to whole ratio
Step-by-step explanation:
that's a part to part ratio
What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, comma, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \sqrt{10} 10 square root of, 10, end square root (Choice B) B \sqrt{29} 29 square root of, 29, end square root (Choice C) C 888 (Choice D) D 99
Answer:
Choice B) B \sqrt{29} 29 square root of, 29, end square root = √29
Step-by-step explanation:
When given coordinates, the distance between those points(coordinates) is calculated as:
Distance = √(x2 - x1)² +(y2 - y1)²
Given(x1, y1), (x2, y2)
Fromm the question, we are given points(4,7) and (2,2)
Distance = √(x2 - x1)² +(y2 - y1)²
= √(2 - 4)² + (2 - 7)²
= √-2² + -5²
= √4 + 25
= √29
Therefore, Choice B is the answer = √29
#30 Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was
collected. Let x represent the number of tickets sold at the door.
In terms of x. how many tickets were sold in advance?
Answer:
170 tickets were sold in advance
Step-by-step explanation:
Let x represent the = number of tickets sold at the door.
Let y represent the = number of tickets sold in advance
Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was
collected.
Hence, we have two equations
x + y = 400 tickets
$3 × x + $2 × y = $1,030
x + y = 400.... Equation 1
x = 400 - y
3x + 2y = 1030........ Equation 2
Substitute 400 - y for x in Equation 2
3(400 - y) + 2y = 1030
1200 - 3y + 2y = 1030
Collect like terms
-y = 1030 -1200
-y = -170
y = 170
Since y represent the number of tickets sold in advance, therefore, 170 tickets were sold in advance.
A) How many stems and leaves would a stem-and-leaf plot of 20 data points from 10-59 have?
A 20 stems and 5 leaves B 20 stems and 20 leaves C 5 stems and 20 leaves D 5 stems and 5 leaves
B) 5q = 15
ANSWER BOTH PLS!
Find the value of n.
3n + 12
n+ 14
Answer:
Is the question 3n+12 = n +14?
Step-by-step explanation:
If so the ANSWER is n=1
3n+12=n+14
3n-12=n+14
3n=n+2
-n -n
2n=2
n=1
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?
5
7
45
63
Answer:
the answer is 7 hope this helps
Answer:7
Step-by-step explanation: