Answer:
(1) 1.2 cm
(2) 200 cm by 250 cm
Step-by-step explanation:
The scaled dimention = (Actual dimension) x (scale factor) ...(i)
The given scale factor =1/50
(1) The actual width of the bedroom door= 60 cm.
So, from equation (i),
the width of the door on the scale drawing= 60 x (1/50)=1.2 cm
(2) The scaled dimension of the bed is 4 cm by 5cm.
So, the scaled width of the bed = 4cm and
the scaled length of the bed = 5cm.
So, from equation (i),
4 cm = (Actual width) x (1/50)
So, Actual width = 50 x 4 cm = 200 cm.
And, 4 cm = (Actual length) x (1/50)
So, Actual width = 50 x 5 cm = 250 cm.
=Hence, the actual measurements of his bed is 200 cm by 250 cm.
How do I do this?
Give the algebraic expression for each of the following:
The sum of 20 and a number, m
Answer:
The sum of 20 and a number,m = 20+m
3y + 6 - y
Please help me
Answer:
2y+6
Step-by-step explanation:
3y+6-y
2y+6
Answer:
2y+6
Step-by-step explanation:
If you are simplifying, combine like terms
3y-y=2y
Why does the government charge high taxes on gasoline?
Answer:
Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.
Step-by-step explanation:
Mark me brainliest
Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.
Anyone have this answer? (Do not mind that there is one selected already lol.)
Answer:
6 Buckets
Step-by-step explanation:
30-12 =18
18 divided by 3 = 6
Answer:
6
Step-by-step explanation:
30-12=18
18/3=6
You are correct! It's 6 buckets :)
A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of 1 cm to 500 m. She ran a trail that was 40 cm long on her old map. How long is this trail on her new map?
PLEASE ANSWER
Answer:
The trail on her new map is 8 cm
Step-by-step explanation:
Here, we are interested in knowing the the length of the trail on the new map.
The scale on her old map is 1 cm represents 100 m
While her new map has a scale of 1 cm to 500 m
Now, running a trail of 40 cm on her old map, we need to get the actual distance.
The actual distance will be 40 * 100 = 4,000 m
Now, we shall convert this to the new map scale
We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m
That would be 4,000/500 = 8 cm
So the trail on her new map is 8 cm
Answer:
The actual distance will be 40 * 100 = 4,000 m
Step-by-step explanation: Now we have to convert the new scale map by dividing the 4,000 m by 500 m so that would be 4,000/500 = 8 cm
Make a Math expression for each of these
$50 per day and $0.25 a mile
$40 per day and $0.30 a mile
Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction sine x, where x Is an element of [0, 2Pi)?
Left-brace 0, pi right-brace
Left-brace 0, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace pi, StartFraction 3 pi Over 2 EndFraction
Answer:
C.
Step-by-step explanation:
got it right on edge :)
The given trig function consist of trig values of common angles;
The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]
Reason:
The given function is presented as follows;
[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Where;
x ∈ [0, 2·π)
We have;
cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)
[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]
Which gives
[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Therefore, we get;
[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]
cos x = 0
[tex]cos \left(\dfrac{\pi}{2} \right) = 0[/tex]Therefore;
The possible solutions (x-values) to cos x = 0 are; [tex]0 \leq \dfrac{n \cdot \pi}{2} \leq 2 \cdot \pi[/tex]Where;
n = 1, 3, 5, ...
x ∈ [0, 2·π)
We get;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]Learn more here:
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R={(x,y)} y=2x:x€{1,2,3}
Answer:
Question is wrong dear
Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x? A graph shows the number of car payments paid on the horizontal axis and amount owed on the vertical axis. The line goes straight up from the x-axis. A graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts high on the vertical axis and decreases as it goes along the horizontal axis. A graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts in the middle on the vertical axis and increases as it goes along the horizontal axis.
Answer:
its fliping b
Step-by-step explanation:
too on edge
what's 9 + 10 ??? please help
Answer:
19
Step-by-step explanation:
Answer:19
Step-by-step explanation:
PLEASE HELP ASAP BRAINLIEST
Area is Length x width.
Area = 4x * 5
Area = 20x
Replace A in the inequality:
Now you have 100 <= 20x <= 1,000
Now solve for x by dividing all 3 by 20:
5 <= x <=50
Check to see if they are viable:
4(5) x 5 = 20 x 5 = 100
4(50) x 5 = 200 x 5 = 1,000
Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.
If DG = 10, what is the value of x?
X + 1
2x -15
0
G
0 A 12
OB. 8
O C.
4
cole
O D. 14
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Given:
[tex]DG = 10[/tex]
See attachment for complete question.
From the attachment, we can conclude that:
[tex]x + 1 + 2x - 15 = DG[/tex]
Substitute 10 for DG
[tex]x + 1 + 2x - 15 = 10[/tex]
Collect Like Terms
[tex]x + 2x = 10 + 15 - 1[/tex]
[tex]3x = 24[/tex]
Solve for x
[tex]x = 24/3[/tex]
[tex]x = 8[/tex]
Which expression is equivalent to the expression shown?
4² x 4⁴
Answer:
Answer: 4⁵ x 10⁴
Step-by-step explanation:
= 10⁴ * 4¹⁰⁻⁵
= 10⁴ * 4⁵
= 4⁵ x 10⁴
Answer:
4^6
Step-by-step explanation:
U add the exponents and keep the base the same
X2 (6x+ 1) (3x-9) = 0
Answer:
x = 0, [tex]-\frac{1}{6}[/tex], 3
Step-by-step explanation:
Hey there!
Step 1: Regroup terms.
2x(6x + 1) (3x - 9) = 0
Step 2: Solve for x.
x = 0, [tex]-\frac{1}{6}[/tex], 3
~I hope I helped you! :)~
The picture attached has the question! Please hurry!
Answer: C
The line crosses 1 on the y-axis which mean the equation is y = 0.3x + 1
17. The distance traveled at a constant speed varies
directly with the amount of time traveled. Sara
drove 200 miles at a constant speed of 50 mi/hr.
Holly drove for the same amount of time as Sara
but at a constant speed of 65 mi/hr. Find the
distance traveled by Holly. Justify your answer.
Hurry plz
Answer:
260 miles
Step-by-step explanation:
Sara made it to her destination in four hours, while Holly made it to her destination traveling 260 miles. This can be calculated by taking Sara's 200 miles, and dividing it by 50 mph to get a total of four hours spent driving. If Holly is also driving for four hours, but instead traveling at 65 mph, you can take 65 and multiply it by four hours to get a total of 260 miles. Hope this helps!
Which expression is equivalent to 7(3x+5) *
A: 10x+12
B: 3x+35
C: 21x+5
D: 21x+35
Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is v and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
Answer:
The equation –3y = 15 – 4x rewritten in slope-intercept form is
✔ y = (4/3)x – 5
.
The y-intercept is
✔ –5
and the slope of the line is
✔ 4/3
.
Line
✔ B
is the graph of the line –3y = 15 – 4x.
Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]
Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]
y-intercept is -5.
Slope of the line is [tex]\frac{4}{3}[/tex].
What is linear equation?" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."
Formula used
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Slope intercept form y=mx +c
c = y-intercept
m = slope
According to the question,
Given linear equation,
[tex]-3y = 15-4x[/tex]
Convert the given linear equation in slope intercept form we get,
[tex]y = \frac{4}{3}x-5[/tex]
Compare it with the formula we get,
Slope 'm' = [tex]\frac{4}{3}[/tex]
y-intercept = -5
From the diagram we can have coordinates of line B
[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]
Substitute the value to get slope of line B,
Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]
[tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]
From the diagram y-intercept for line B is -5.
Equation of line B
[tex]y = \frac{4}{3}x-5[/tex]
Hence, slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].
Learn more about linear equation here
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which is bigger 7/9 or 5/6
Answer:
5/6
Step-by-step explanation:
7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9
5/6 is greater than 7/9
What is a fraction?A common fraction is a numeral which represents a rational number. For example 2/3
Given here, 7/9 and 5/6 now 7/9 = 0.777 and 5/6= 0.833
Thus clearly 5/6 >7/9
Hence, 5/6 is greater than 7/9
Learn more about fractions here:
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The planet Earth is approximately 149.6 million kilometers from the sun. The planet Jupiter is about 5.2 times farther away from the sun than Earth is. What is the approximate distance between Jupiter and the sun?
15.472 million kilometers
77.792 million kilometers
154.72 million kilometers
777.92 million kilometers
Answer:
the answer is 777.92 million kilometers
Step-by-step explanation:
The distance between Jupiter and Sun is 777.92 million km
What is distance?Distance is defined to be the magnitude or size of displacement between two positions.
Given that the distance between Earth and Sun is 149.6 million km and Jupiter is about 5.2 times farther away from the Sun than Earth is,
Therefore, distance between Sun and Jupiter is = 149.6 × 5.2 = 777.92 million km
Hence, the distance between Jupiter and Sun is 777.92 million km
For more references on distance, click;
https://brainly.com/question/15172156
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You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?
Answer:
25/102
Step-by-step explanation:
P(red) = 26/52 = 1/2
P(red after red) = 25/51
1/2 * 25/51 = 25/102
i need help with
If x = 5, find the value of LaTeX: 16-x16 − x
Answer:
-69
Step-by-step explanation:
16-(5)(16)-(5)
16x5=80
16-80-5
16-80=-64
-64-5=-69
Will give brainliest whoever answers asap plz it’s.active please
Hurrreyyyy
What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
6(2(5)-4)
6(10-4)
6(6)
=36
You plug in the variable value, then solve :)
Answer:
The value of 6(2b-4) when b=5 is 36.
Step-by-step explanation:
b) In the diagram below, two lines are drawn. Explain how you could determine the values
of b, c, and d, using at least two of the following terms: linear pair, vertical angles,
congruent, & supplementary. ( 3 points)
b
U
40°
d
Answer/Step-by-step explanation:
When twi straight lines intersect, they form 2 pairs of opposite vertical angles that are congruent.
In the diagram given, the following pairs of vertical angles are formed:
<c and 40°
<b and <d
<c = 40° (vertical angles are congruent)
<b and 40° are linear pairs. They are both supplementary. Therefore:
<b = 180° - 40
<b = 140°
<d = <b (vertical angles)
<d = 140° (substitution)
[tex]4(3x-2)=16[/tex]
Answer:
x=2
Step-by-step explanation:
12x-8=16
12x=24
x=2
Which table has a constant of proportionality between y and x of 1/5?
Answer:
5
Step-by-step explanation:
The weight of one serving of skittles is 1.5 ounces. How much will 22.5 servings weigh?
Answer:
33.75 ounces
hope this helps
At the San Diego zoo you can either pay $22.75 for the entrance fee or $71 for the yearly pass which entitles you to unlimited admission. At most how many times can you enter the zoo for the $22.75 entrance fee before spending more than the cost of a yearly membership? Write and solve an inequality
Answer:
3
Step-by-step explanation:
3x22.75=68.25 or less than the yearly pass
what's the answer to 2x^2 x= 10
Answer:
1
Step-by-step explanation: