Scale factor used by Nancy for the model of an airplane = 1 : 14
Length of the tail of the airplane = 5.7 inches
Scale factor is defined by the expression,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
By substituting the dimension of the model in the expression,
[tex]\frac{1}{14}=\frac{5.7}{\text{Dimension of the original}}[/tex]
Dimension of the original plane = 14 × 5.7
= 79.80 inches
Therefore, length of the tail of the actual airplane will be 79.80 inches.
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Length of Actual airplane's tail is 79.8 inches or 6.65 ft
Given:
Scale model sample = 1 : 14
Length of model airplane's tail = 5.7 inches
Find:
Length of Actual airplane's tail
Computation:
Length of Actual airplane's tail = Length of model airplane's tail × Scale model sample
Length of Actual airplane's tail = 5.7 × 14
Length of Actual airplane's tail = 79.8 inches
Length of Actual airplane's tail = 79.8 inches or 6.65 ft
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WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Answer:
1400m^2
Step-by-step explanation:
Let the breadth of the garden be a, therefore the length of the garden is (a+5).
The perimeter of the garden is the sum of all its sides, therefore:
Perimeter = a + a + (a+5) + (a+5) = 150
Simplifying the LHS of the equation:
4a +10 = 150
Subtracting 10 from both sides of the equation:
4a = 140
Dividing both sides by 4:
a = 35 = breadth
Therefore the length of the garden = (a + 5) = 40
Recall that the area of the garden is its length multiplied by its breadth, therefore:
Area = 35*40 = 1400
Answer:
area=1400
Step-by-step explanation:
length(l)=x+5
breadth(b)=x
Perimeter=2(l+b)
150 =2(x+5+x)
150 =2x+10+2x
150-10=4x
140=4x
x=35
therefore breadth=35
length=40
area=l*b
=35*40
=1400
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
x = 4
Step-by-step explanation:
[tex]-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4[/tex]
Answer:
x = 4
Step-by-step explanation:
-5 ( x - 1 ) -x +1 = -18
solve the brackets first
-5x + 5 - x + 1 = -18
-5x -x +5 +1 = -18
-6x + 6 = -18
-6x = -18 - 6
-6x = -24
x = -24 / -6
x = 4
Sophie went to the lake with her family. First, they spent 1 1/4
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
Answer:
they spend the time for swimming is 11/4 ✖ 2 =22/4
that's means in hours =5 hours 30 minutes
5 added to a certain number gives a result of -6 . Find that number
Answer:
- 11
Step-by-step explanation:
let the number be n , then
n + 5 = - 6 ( subtract 5 from both sides )
n = - 11
The number is - 11
Answer: -11
Step-by-step explanation:
Let x be the number
Set equation
x + 5 = -6
Subtract 5 on both sides
x + 5 = -6 - 5
[tex]\boxed{x=-11}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
SOMEONE WHO LIKES MATHS OR CAN DO IT PLS HELP COZ THIS IS SO CONFUSING:((. do the ones you know !! I’ll brainlist:)
a) c + y = 10 + 11 = 21
b) q + b + r = -14 + (-7) + (-13) =
= -(14 + 7 + 13) = -34
c) 8x + 3z = 8 · 9 + 3 · 4 = 72 + 12 = 84
d) 6a + 5b = 6 · (-1) + 5 · (-3) = -6 - 15 = -21
e) -9y + 2z = -9 · (-5) + 2 · (-7) = 45 - 14 = 31
f) -3t + 4y + s = -3 · 8 + 4 · (-2) + (-2) =
= -24 - 8 - 2 = -(24 + 8 + 2) = -34
g) y² + c = 4² + 7 = 4 · 4 + 7 = 16 + 7 = 23
h) a² + x = (-10)² + (-8) = 100 - 8 = 92
i) b + 2y² = 2 + 2 · 6² = 2 + 2 · 36 =
= 2 + 72 = 74
j) 3y² - 3z = 3 · 6² - 3 · (-7) = 3 · 36 + 21 =
= 108 + 21 = 129
Which problem has a sum of 16.52 ?
1.42 + 3.1 + 12 = 16.52
Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).
Answer:
24units.
Step-by-step explanation:
steps are in picture.
If you have any question about it please ask.
Findi the value of x
Answer:
By Pythagoras theorem ,
H^2 = P^2 + B^2
H^2 = 4^2 + 3^2
H^2 = 16 + 9
H^2 = 25
H = 5
therefore , value of x = 5
hope that helps uh..☺
Answer:
x = 5
Step-by-step explanation:
Since it's a right triangle, you can use Pythagorean Theorem.
[tex]a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x[/tex]
Reduce the Fractions 15/9to its Lowest Terms
[tex]\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\ [/tex]
[tex]\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\ [/tex]
Decimal Form - 1.6667
Estimate the measure of this angle within 15°.
plz help me plz!!!!!!
Answer:
6. was Narbada alienated ...?
7. did Pratima make ...?
8. did Zayasha wander ...?
9. Did Sachin behave as if...?
10. did susan look ...?
12. do sarina and sazina jump ...? (plural noun)
13. Were ... and ... aghast to...?
Step-by-step explanation:
yes/ no question:
Past simple: Did + S + V-bare...?
Passive voice (Past simple): Was/ Were + S + V3/ed (past participle)
The difference of F and 5 times G is the same as 25 minus f
Step-by-step explanation:
(5×G)-F=25-F
I hope it helped U
stay safe stay happy
Click the picture and please help I need it fast because it’s timed
Answer:
y=3
Step-by-step explanation:
6=2(y+2)-4
6=2y+4-4
6-4+4=2y
6=2y
3=y
The answer you are looking for is y=3.
Solution/Explanation:
First, writing out the problem,
6=2(y+2)-4.
Next, using the Distributive Property for 2(y+2), which is 2y+4,
6=2y+4-4.
Now, canceling out the 4, since 4-4=0,
6=2y+0, or 6=2y.
Finally, dividing both sides by 2,
6/2=2y/2.
6/2=3.
2y/2=y.
3=y, or y=3.
So, therefore, the final answer is y=3.
I hope that this has helped answer your question. Good day to you.
show me step by step : 22.04 x 9 =
Answer:
the answer is 198.36
Step-by-step explanation:
i dont know lol sorry
Samuel invested money in his bank account. He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, r, of 0.15 per year. At the end of the period, he had interest, I, of $105 in his account. Use the simple interest formula I = Prt, to solve for the time, t, in months that it took to earn this amount.
Hey there! I'm happy to help!
Let's see what we have for each variable.
I = 105
P = 100
r = 0.15
Now, let's plug it in and solve for our t (time)
105=100(0.15)(t)
Swap sides so t is on the left.
100(0.15)(t)=105
Divide both sides by 100.
0.15t=1.05
Divide both sides by 0.15
t=700
So, we see that it takes 700 months to earn this amount.
Have a wonderful day and keep on learning! :D
The number of months that it took to earn this amount will be 84 months.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest in percentage, and T is the time.
Samuel invested money in his bank account.
He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, R, of 0.15 per year.
At the end of the period, he had interest, I, of $105 in his account.
105 = 100 x 0.15 x t
t = 1.05 / 0.15
t = 7 years
The number of months that it took to earn this amount will be
⇒ 7 x 12
⇒ 84 months
The number of months that it took to earn this amount will be 84 months.
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How do I solve this I wanna know so I can do the rest without help pls
x + 5 = 2
Answer:
-3
Step-by-step explanation:
move the constant to the other side and get
X = 2 - 5
and X = -3
If a line segment AB is on the number line, and the point A is at - 7 and point B is at 12, the length of AB is ____.
Answer:
Here,
A=-7
B=12
Length of AB=?
Now, We know that,
Length of AB=-7-12
=-19
Thus, the length of AB is -19
can anyone help me please
Answer:
fig.1 No, fig.2
Step-by-step explanation:
fig.1 is no because "a" has more than one output therefore it's not a function.
fig. 2 is yes because "a,b,c,d" have different outputs but not more than one
try the rest by yourself. have a good day and remember don't get stressed over the little things
4. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20
Answer:
15x+55y+20
Step-by-step explanation:
mark me brainlest
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be
⇒ 15x + 55y + 20
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
More about the Algebra link is given below.
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HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4 -8 (-16, -10) -12 (6, -10) -16 -20-
Answer:
10 points away
Maureen withdrew $20 from her bank account to go to lunch with friends. Later, she
deposited $25 that she made babysitting.
What is the total change in Maureen's bank account relative to where it started?
pls hurrryyyyyyy #42 only and show work
Answer:
x = 70
Step-by-step explanation:
50 + x + 2x + 100 = 360
Combine like terms
3x + 150 = 360
Subtract 150 from both sides
3x = 210
Divide both sides by 3 to isolate x
x = 70
2,8,18,32,50,72 which term is the sequence is 512?
Answer:
16
Step-by-step explanation:
2+6=8
8+10=18
18+14=32
6+4=10 10+4=14
an+1=an+(2+4n)
a7=a6+26=72+26=98
a8= a7+30= 98+30=128
a9=a8+34=128+34= 162
a10=a9+38= 162+38=200
a11=a10+42= 242
a12=242+46=288
a13=288+50= 338
a14=338+54= 392
a15=392+58= 450
a16= 450+62=512
a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price
Answer:
40% increase
Step-by-step explanation:
c = final value - initial value
------------------------------------
initial value
112 - 80 = 32
32 / 80 = 0.4
0.4 = 40%
What is the long division answer for 19 on the outside (left) and 66 on the inside (right)?
Answer:
the answer is irrational (goes on forever) ... look at image...
I assume that the answer that you were to provide is
3 R 9 (3 remainder 9 )
or
[tex]3 \frac{9}{19}[/tex]
Step-by-step explanation:
Which expression has the same value as –7 4/5 + 5 1/6
5 1/6 - 7 4/5
-7 4/5 - 5 1/6
-5 1/6 + (-7 4/5)
5 1/6 - (-7 4/5)
if f(x)= 2(3x²-2x+2). Find:
A) f(x+1)
B) f(3)
C) f(y-2)
There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.
We know that:
There are n arithmetic means between the numbers 33 and -3
second last mean: second mean = 1:5
Using this, we can find that the value of n is 9.
Now let's see how we need to use the information.
"There are n arithmetic means between the numbers 33 and -3"
This means that we will have a sequence like:
33, a₁, a₂, ..., aₙ, -3
And by the given ratio, we know that:
aₙ₋₂:a₂ = 1:5
Also, because this is an arithmetic sequence we have:
a₁ = 33 + d
a₂ = 33 + d + d
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
Because of the ratio, we will have that:
aₙ₋₂/a₂ = 1/5
We can replace what the left side by:
(-3 - 2*d)/(33 + 2*d) = 1/5
now we can solve this for d.
-3 - 2*d = (33 + 2*d)*(1/5)
5*(-3 - 2*d ) = (33 + 2*d)
-15 - 10d = 33 + 2d
-15 - 33 = 2d + 10d
-48 = 12d
-48/12 = -4 = d
So now we know that the value of d is -4.
Now we can use the equation
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
to find the value of n:
33 + (n - 2)*d = -3 - 2*d
33 + (n - 2)*-4 = -3 - 2*-4
33 - 4n + 8 = -3 + 8
41 - 4n = 5
-4n = 5 - 41 = -36
n = 36/4 = 9
The value of n is 9.
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Answer:
Step-by-step explanation:
HI. just posted a question can u help me out pleas please
Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?
Solve the simultaneous equations. to. 3 significant figures.
3x^2 + y^2 = 20
2x + y =3
Answer:
check explanation
Step-by-step explanation:
in eqn 2,
y = 3 - 2x
substitute for it in eqn 1
3x² + y² = 20
3x² + (3 - 2x)² = 20
3x² + 9 - 12x + 4x² = 20
Group like terms;
3x² + 4x² - 12x = 20 -9
7x² - 12x = 11
x(7x - 12) = 11
x = 11,
OR
7x - 12 = 11
7x = 11 + 12
7x = 23
x = 23/7
x = 3.286
To get y, substitute for x in eqn 2
WHEN x = 11,
y = 3 - 2(11)
y = 3 - 22
y = -19
WHEN x = 3.286
y = 3 - 2(3.386)
y = -3.772
