Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Answers
16 model airplanes on his shelf
4 times as many model airplanes as model trains
let's denote the number of model trains as m
So,
m=16×4
m=64
Therefore,there are 64 model trains.
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Related Questions
Which equation would you use to solve this problem: Laura bought 4 1/3 bushels of apples for $16. How much did each bushel cost? *
Answers
Answer: $3.69
Step-by-step explanation:
Laura bought 4 1/3 bushels of apples.
Firs convert this to an improper fraction for easier calculation:
= 13/3 bushels of apples.
If cost $16 altogether, individually they must cost:
= Cost / Quantity purchased
= 16 ÷ 13/3
= 16 * 3/13
= $3.69
Note: You can divide by a fraction by multiplying the inverse of that fraction.
Find the unit rate for this situation: ride a bike 64 miles in 4 hours
Answers
If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?
Answers
Answer:
141.5 in
Step-by-step explanation:
sin 58 = m/p = 120/p
120 = psin58
120/sin 58 = p
p = 141.5 in.
Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side. Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p
If
f(x) = x^2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = ?
Answers
Answer;
f (x) = 2x-4g (x) =x^2
Step-by-step explanation:
The solution is 9x² + 12x - 1
The composition function f ( g ( x ) ) is 9x² + 12x - 1
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
The value of f ( x ) = x² + 2x - 4
Let the second function be represented g ( x )
The value of g ( x ) = 3x + 1
Now , the composition function f ( g ( x ) ) is calculated by
Substitute the value of x as 3x + 1 , in f ( x ) , we get
f ( g ( x ) ) = f ( 3x + 1 )
f ( 3x + 1 ) = ( 3x + 1 )² + 2 ( 3x + 1 ) - 4
On simplifying the equation , we get
f ( 3x + 1 ) = ( 9x² + 6x + 1 ) + ( 6x + 2 ) - 4
f ( 3x + 1 ) = 9x² + 12x - 1
Therefore , the value of f ( 3x + 1 ) is 9x² + 12x - 1
Hence , the composition function f ( g ( x ) ) is 9x² + 12x - 1
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please help it almost due to 15 points
Answers
Answer:
a=30
b=15
c=3
d=30
e=10
Step-by-step explanation:
Solve for A first and continue solving for one variable at a time
Simple question: What is the difference between 32% vs 15%?
Answers
Answer:
Look below :)
Step-by-step explanation:
Well one of them is a bigger percentile, so the difference is 32-15. So the answer is 17. I hope this helps!
Please answer ASAP
The perimeter of a rectangle is 176 m. The length is equal to 3 times the width decreased by 4. Find the dimensions of the rectangle.
Answers
Answer:
L=65m
W=23m
Step-by-step explanation:
[tex]3W-4=L\\2L+2W=176\\\\2L+2W=176\\-2L+6W=8\\8W=184\\W=23m\\L=23*3-4=65m[/tex]
The length and width of the rectangle are 63m and 25m.
What is a rectangle?A rectangle is a quadrilateral, a 2d shape that has four sides and four vertices.
We have,
The perimeter of a rectangle = 176 m
Length of the rectangle = L = 3 x (W- 4 )
Width of the rectangle = W
The perimeter of a rectangle is given by:
176 = 2 ( L + W )
176 = 2 ( 3 ( W - 4 ) + W )
176 = 2 ( 3W - 12 + W )
176 = 2 ( 4W - 12 )
176 = 8W - 24
176 + 24 = 8W
200 = 8W
W = 200 / 8
W = 25 m
Now,
Put W = 25 in L = 3 x ( W - 4 )
L = 3 x ( 25 - 4 )
L = 3 x 21
L = 63 m
We can cross-check:
Perimeter = 2 ( 63 + 25 ) = 2 ( 88 ) = 176 m
Thus the length and width of the rectangle are 63m and 25m.
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70√201 please give me your answer
Answers
Answer:
992.42
Step-by-step explanation:
1/6 + (-7/9) in simplest form
Answers
Answer:
Step-by-step explanation:
3/18 + (-14/18)= -11/18
Can you conclude that these triangles are congruent?
Answers
Answer:
yes
Step-by-step explanation:
each side is length by with so you can tell these are congruent
Answer:
Yes
Step-by-step explanation:
The reason is because the marks in all of the angles mean the angles are congruent. If the angles match up (1 mark, 2 marks, 3 marks, etc.) then the triangles are congruent.
I need help ASAP THIS IT TIMED!!
Answers
Answer:
yeah its probably done well
Step-by-step explanation:
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the
nearest degree
Answers
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosines in triangle OPQ, we get
[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]
[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]
[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]
[tex]\cos P=\dfrac{168800}{868000}[/tex]
On further simplification, we get
[tex]\cos P=0.19447[/tex]
[tex]P=\cos^{-1}(0.19447)[/tex]
[tex]P=78.786236[/tex]
[tex]P\approx 79[/tex]
Therefore, the measure of angle P is 79 degrees.
Answer:
79
Step-by-step explanation:
Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back the money he had pad a total of 9281.25. How long did it take Marcus to pay back the money?
Answers
Answer:
2.5 years
Step-by-step explanation:
Given data
P=9000
r= 1.25%
A= 9281.25
The simple interest expression is given as
A=P(1+rt)
substitute
9281.25= 9000(1+0.0125*t)
9281.25=9000+112.5t
collect like terms
9281.25-9000=112.5t
281.25= 112.5t
t= 281.25/112.5
t= 2.5
Hence the time is 2.5 years
Please help on both! Will give brainliest!!
Answers
The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?
The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long.
cosine 35 degrees over 8
8(tan 35°)
tangent 35 degrees over 8
8(cos 35°)
Answers
Answer:
8(cos35)
Step-by-step explanation:
Your welcome.
The expression that models the height is 8 cos35
SOH CAH TOA identityFrom the given information, we have the following
Hypotenuse = 8metersHeight = adjacentUsing the SOH CAH TOA identity
cos theta = adj/hyp
cos 35 = adj/hyp
cos 35 = adj/8
Hyp = 8 cos35
Hence the expression that models the height is 8 cos35
Learn more on SOH CAH TOA here: https://brainly.com/question/22307176
: Santiago realizó los siguientes movimientos en su Cuenta bancaria: el lunes consignó $300.000, el martes retiró $120.000, el miércoles retiró $95.000 Y el jueves consignó $80.000. ¿Cómo se representan matemáticamente los movimientos bancarios de Santiago?
Answers
Answer:
Step-by-step explanation:
Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:
Lunes → + 300.000Martes → -120.000Miércoles → -95.000Jueves → +80.000Al realizar la sumatoria se obtiene:
+300.000 - 120.000 - 95.000 + 80.000 = + 165.000
En la semana Santiago obtiene en su cuenta bancaria $165.000
Identify the cross section that results from slicing the three-dimensional figure with a plane that is parallel to its base
A)Pyramid
B)Rectangle
C)Square
D)Triangle
Answers
Answer:
D) triangle
Step-by-step answer:
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
PyramidA three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.
Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
Find out more on Pyramid at: https://brainly.com/question/218706
AVALIAÇÃO DIAGNÓSTICA
Resolva os problemas abaixo
1) O quilo do feijão que custava R$ 3,90 teve um aumento de 70% Oual é o novo preço do quilo do
feijão?
2) O aluguel de uma casa teve um reajuste e passou de R$ 500,00 para R$ 925,00. Qual foi o percentual
de aumento do aluguel dessa casa
Answers
Answer:
hhhsyeuru isuegrjro ehgeurov didyrhy
PLEASE HELP ASAP!!
Graph the function
h (x) = -4x-1.
Answers
Answer:
Hope this helps!
In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.
Answers
Answer:
a. 3g + g = 53
b. 40 boys and 13 girls
Step-by-step Explanation:
(3g = number of boys)
(g = number of girls)
3g + g =53
4g = 53
g = 13.2
53 - 13.2 = 39.8 (boys)
we round to the nearest tenth on both
girls 13.2---13
boys 39.8---40
Line AB is definited by the equation ax+by=c where a=0, b=1, and c=-2 graph line AB
Answers
Answer:
graph shown below
Step-by-step explanation:
ax + by = c where a = 0, b = 1, and c = -2 would be 0x + 1y = -2 or y = -2.
On a graph, this would look like:
Acil cevap lütfen hemen atarsanız sevinirim (✿^‿^)♥️♥️♥️
Answers
Answer:
hai :D
Step-by-step explanation:
Also try D
que es una expresión algebraica
Answers
Answer:
En matemáticas, una expresión algebraica es una expresión construida a partir de constantes enteras, variables y operaciones algebraicas (suma, resta, multiplicación, división y exponenciación por un exponente que es un número racional).
Step-by-step explanation:
120 pounds decreased by 5%
Answers
Answer:
114 pounds
Step-by-step explanation:
A sailboat with a sick passenger abroad is following a parabolic path given by the equation = − 2 +2 + 8.
The boat’s captain sent out a distress signal. A speedboat is trying to catch the sailboat to provide medical aid and is on a path given by the linear equation y=- x+8. Besides the y-intercept (starting location) where do the paths of the two boats cross (for each graph you must plot at least 3 points each and give answer in coordinate pair notation)?
Answers
A sailboat with a sick passenger aboard is following a parabolic path given by the equation y=-2x+8. T...
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Gilbert took 2 hours longer to drive 240 miles on the first day of a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day?
Answers
Answer:
dyvhbCNN mfg beneficialgVCR specializations acknowledgement
1/4 y + 9=1/2 A -34 b 2 c 9 d 38
Answers
¹/₄y = ½-9
¹/₄y = -¹⁷/₂
y = -34
if its possible, whats -12/3 simplifies
Answers
Answer:
-4
Step-by-step explanation:
can you please help me with this problem
Answers
-(2g - 4)
I don’t what the answer is
Answers
Answer:
−2+4
Step-by-step explanation:
Answer:
-2g+4
Step-by-step explanation:
you have to distriute the negitive
-2g+4
so that is your answer
i hope this helps :)