Answer:
8.8 pounds
Step-by-step explanation:
To avoid paying extra fees ; carry-on bag should weigh ≤ 30 pounds
Weight of Lorries carry-on = 21.2 pound
Maximum Weight that can be added without going above the 30 pounds limit = w
The inequality reprentation :
21.2 + w ≤ 30
Subtract 21.2 from both sides ;
21.2 + w - 21.2 ≤ 30 - 21.2
w ≤ 8.8
Hence, Maximum Weight that can be added without going above the 30 pounds limit is 8.8 pounds.
Answer:
the other guys right
Step-by-step explanation:
share 747 in the ratio 2:7 between Tom and Ben
Answer:
tom = 166, ben = 581
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
therefore 1 part = 83
83 x 2 = 166
83 x 7 = 581
tom has 2 parts so he has 166
ben has 7 parts so he has 581
Answer:
Tom has 166.
Ben has 581.
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
83 × 2 = 166
83 × 7 = 581
Help me with this I will give you brainlist
Answer:
3/20
Step-by-step explanation:
Of means multiply. When it says 3/10 of 4/8, it just means 3/10*4/8 which when multiplied across gives you 12/80. Which can be simplified to 3/20.
Hope this helps.
Find the measure of C to the nearest degree.
Let the ∠C be : θ
From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units
Also, We can notice that Hypotenuse is 11 units
As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ
We know that :
[tex]\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]
[tex]\implies \sf{Sin\theta = \dfrac{7}{11}}[/tex]
[tex]\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}[/tex]
[tex]\implies \sf{\theta = 39.52^{\circ}}[/tex]
Answer : The measure of ∠C to the nearest degree is 38°
i need help with #2 and #6 pleaseeeeee
Answer:
Area of the rectangle = x² - 3x - 10
2019
Step-by-step explanation:
Length of the rectangle = x + 2
Width of the rectangle = x - 5
Area of the rectangle = length × width
= (x + 2) (x - 5)
= x² + 2x - 5x - 10
= x² - 3x - 10
Area of the rectangle = x² - 3x - 10
C = 20t² + 135t + 3050
Where
C = the number of new cars
t = year the number of new cars was purchased
t = 0 corresponds to 1998
Find the when c = 15,000
C = 20t² + 135t + 3050
15,000 = 20t² + 135t + 3050
20t² + 135t + 3050 - 15,000 = 0
20t² + 135t - 11,950 = 0
4t² + 27t - 2390 = 0
Solve using quadratic equation
t = -b ± √b² - 4ac / 2a
= -27 ± √27² - 4(4)(-2390) / 2(4)
= -27 ± √729 -(-38240) / 8
= -27 ± √729 + 38240 / 8
= -27 ± √38969 / 8
= -27/8 + √38969/8 or 27/8 - √38969/8
= -3.375 + 197.41/8 or -3.375 - 197.41/8
= -3.375 + 24.67625 or -3.375 - 24.67625
t = 21.30125 or - 28.05125
t cannot be negative
Therefore,
t = 21.30125
To the nearest whole number
t = 21
Recall,
t = 0 corresponds to 1998
Therefore
1998 + 21 = 2019
c = 15,000 in the year 2019
Find the length of the third side. If necessary, write in simplest radical form. one side is 7, the other is 2√6, the third side had a 90 degree mark but what is the length
Answer:
5
Step-by-step explanation:
Pythagoras
c² = a² + b²
with c being the Hypotenuse (= the side opposite of the 90 degree angle).
if I understand the question correctly, then the Hypotenuse c is here 7.
=>
7² = (2×sqrt(6))² + b²
49 = (4×6) + b²
49 = 24 + b²
25 = b²
b = 5
can someone pls help me with this one !
Answer:
√26
Step-by-step explanation:
Screenshot of the solution: https : // snipboard. io / D53Cno . jpg (erase the spaces)
Se compró un artículo en S/. 219. ¿Qué precio debe fijarse para su venta al público?, para que haciendo un descuento del 25% todavía se esté ganando el 25% del costo?
Answer:
342,1875
Step-by-step explanation:
Dado
Precio de compra del artículo = 219
Precio de venta cuando el descuento dado es 25% = 219 + 0,25 * 219 = 273,75
Para otorgar un descuento del 25%, este producto debe estar marcado a un precio un 25% más alto que los precios de venta = 273,75 + 0,25 * 273,75 = 342,1875
Queremos saber a que precio debe fijarse un articulo para que cuando le hagamos un descuento del 25%, aun tengamos una ganancia del 25% del costo del articulo. Veremos que el precio que cumple los requerimentos es $365.
Veamos como resolver el problema:
Sabemos que el costo del articulo es $219. Queremos vender este articulo a precio P.
Cuando vendamos este articulo con un descuento del 25%, queremos obtener una ganancia del 25%, entonces debemos resolver:
P*(1 - 0.25) = $219*(1 + 0.25)
P*0.75 = $219*1.25
P = ($219*1.25)/0.75 = $365
Así, podemos concluir que el precio que debe fijarse para cumplir los requisitos es $365.
Sí quieres aprender más, puedes leer:
https://brainly.com/question/8742631
Help,anyone can help me do quetion.
Answer:
Step-by-step explanation:
angle y +60 = 180 degree (being adjacent angles of a trapezium )
angle y =180 - 60
angle y =120 degree
angle x+30 degree = 180 degree (being opposite angles of a trapezium)
angle x =180 - 30
angle x=150 degree
75 + 145 + 90 + y = 360 degree (sum of angles of a quadilateral is 360 degree)
310 + y = 360
y = 360 - 310
y = 50 degree
A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball
Given:
Diameter of ball = 8 cm
To find:
The volume of the ball.
Solution:
We know that the radius of sphere is half of is diameter.
It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:
[tex]r=\dfrac{8}{2}[/tex]
[tex]r=4[/tex]
The radius of the ball is 4 cm.
The volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get
[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]
[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]
[tex]V=267.946667[/tex]
[tex]V\approx 267.95[/tex]
Therefore, the volume of the ball is about 267.95.
x2 - 2x + 1
show the method
Answer:
x2 - 2x +1
x2 - 1x -1x +1
(x2 - 1x) - (1x+1)
x(x-1) -1 ( x - 1)
(x - 1) (x - 1)
Can you do it thank for answer
Answer:
Step-by-step explanation:
a) 5 > 4 +x
4 + x < 5
Subtract 4 from both sides
x < 5 - 4
x < 1
b) 2 ≤ 6c + 14
6c + 14 ≥ 2
Subtract 14 from both sides
6x ≥ 2 - 14
6x ≥ - 12
Divide both sides by 6
x ≥ -12/6
x ≥ -2
c) -4 > 2b
2b < - 4
Divide both sides by 2
b < -4/2
b < -2
d)
[tex]7 \leq \frac{a}{3}[/tex]
[tex]\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21[/tex]
Answer:
Below.
Step-by-step explanation:
(a). 5 > 4 + x
4 + x < 5 (Note that the sign is flipped)
x < 5 - 4
x < 1.
(b) and (c) are solved in the same way.
(d) 7 <= a/3
a/3 >= 7
Multiply both sides by 3
a >= 21.
(e) - as above.
(f) 6 >= 3(p + 2) - 11
3(p+2) - 11 <= 6
3p + 6 - 11 <= 6
3p - 5 <= 6
3p <= 6 + 5
3p <= 11
p <= 11/3.
help, with this question please. i’m not sure if anyone’s asked it yet.
are u taking a test Sir??
find the value of x in |2x_5|+7=20
Answer:
can you plz rewrite the question I want to help but I can't see it. you can even take a picture of the question.
8⁵×8×8²
hejshsksjkshakshasjskw
Step-by-step explanation:
=8^5×8×8^2
=32768×8×64
=16777216
hope it helps
stay safe healthy and happy....Answer:
[tex] {8}^{5} \times 8 \times {8}^{2} = 16777216[/tex]
Step-by-step explanation:
[tex] {8}^{5} = 32768[/tex]
[tex]8 = 8[/tex]
h
that is all
Ari has a total of 22 coins consisting of pennies and nickels. The total value of coins is $0.54. how many pennies does he have?
Answer:
There are 8 nickels and 14 pennies
Step-by-step explanation:
Represent the number of pennies by p and nickels by n. Then:
p + n = 22, or n = 22 - p
Coin values:
($0.01/penny); ($0.05/nickel). Therefore, the relation showing the amounts of money involved is:
($0.01/penny)p + ($0.05/nickel)n = $0.54.
But we found earlier that n = 22 - p. Therefore, the previous equation becomes:
($0.01/penny)p + ($0.05/nickel)(22 - p) = $0.54.
Multiply all three terms by 100 to eliminate the decimal fractions:
1p + 5(22 - p) = 54, or:
1p + 110 - 5p = 54, or:
-4p = -56
Thus, p = 14. If p = 14, then n = 22 - 14 = 8.
There are 8 nickels and 14 pennies.
Check: 8($0.05) + 14($0.01) = $0.54 (correct)
[tex]-a-\frac{7}{8} a[/tex]
paso a paso
Step-by-step explanation:
-a-7a/8
-8a-7a/8
-15a/8
Hope it helps you
Answer:
Step-by-step explanation:
WE have to find the least common denominator and it is 8
[tex]-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\[/tex]
Which terms are like terms in the following expression?
Answer:
9x and -4x
This is the answer
What is the length of the side opposite D?
units=
sin(D) =
Applying the Sine Ratio Warm up
Edge 2021
Answer:
5 units
sin(D)= 5/13
Step-by-step explanation:
i just did the question
Solve the equation 12x + 6y = 24 for x.
Answer:
The answer is x=2-(y/2)
Step-by-step explanation:
Answer:
2 - y/2
Step-by-step explanation:
12x + 6y = 24
=> 12x = 24 - 6y
=> x = (24 - 6y)/12
=> x = 24/12 - 6y/12
=> x = 2 - y/2
Find the first term for the given geometric series. Round to the nearest
hundredth.
Sn= 48,340,r=3.4, n= 11
Answer:
3.4
Step-by-step explanation:
Fill in the blank: 9(4x + 5) = 36x +
Answer:
45
Step-by-step explanation:
9(4x + 5)
9*4x + 9*5
36x + 45
Answer:
45Step-by-step explanation:
9*4x +9*5
= 36x + 45
Bye
:-)
Select the correct answer.
Which number line represents the number 0.7?
Answer: I think it is B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
jdiidjeojfomfjfjjdj
19. Which of the following are examples of segments
from the figure?
BCD
D
CA
BAD
DA
AB
BD
Answer:
BCD
Step-by-step explanation:
You can easily find out by the points at the end of line. These points indicate that this is line segment.
Dos personas A y B , se encuentran en la orilla de un río, separadas entre sí 200 m y en la orilla opuesta en el punto C, se encuentra otra persona. Los ángulos CAB= 65° y CBA = 57° .¿A que distancia de A se encuentra la persona C?. ayudaaaa porfaaaa):
Answer:
La distancia de C con respecto a A es de 197.788 metros.
Step-by-step explanation:
A manera de imagen adjunta construimos una representación del enunciado del problema, la cual representa a un triángulo cuyos tres ángulos son conocidos y la longitud del segmento AB, medida en metros, son conocidos. Por medio de la Ley del Seno podemos calcular la longitud del segmento AC (distancia de C con respecto a A), medida en metros:
[tex]\frac{AB}{\sin C} = \frac{AC}{\sin B}[/tex] (1)
Si sabemos que [tex]B = 57^{\circ}[/tex], [tex]C = 58^{\circ}[/tex] y [tex]AB = 200\,m[/tex], entonces la longitud del segmento AC es:
[tex]AC = AB\cdot \left(\frac{\sin B}{\sin C} \right)[/tex]
[tex]AC = (200\,m)\cdot \left(\frac{\sin 57^{\circ}}{\sin 58^{\circ}} \right)[/tex]
[tex]AC = 197.788\,m[/tex]
La distancia de C con respecto a A es de 197.788 metros.
Which of the following states the conditions that the graph meets?
Answer:
x ≤ 3
Step-by-step explanation:
The vertical line at x = 3 is solid and shaded to the left
Therefor
x ≤ 3
Answer:
x≤3
Step-by-step explanation:
There is a solid line at x =3
The graph is shaded to the left and includes the solid line
x≤3
Triangle X W Y is shown. The length of side X W is 5. The length of side W Y is 11. The length of Y X is 7. What is the order of the angles from largest to smallest? Angle W, Angle X, Angle Y Angle X, Angle W, Angle Y Angle X, Angle Y, Angle W Angle Y, Angle W, Angle X
Answer:
Step-by-step explanation:
The angle opposite to longest side is the largest angle.
WY is the longest side. ∠x is the greatest
Arrange sides from largest to smallest
WY > YX > XW
∠X > ∠W > ∠Y
Answer:
angle X, angle W, and angle Y
Step-by-step explanation:
got it right on edge
find the value of x,y,z
Answer:
x y z are all equal to 60 because it on a line
Answer:
Step-by-step explanation:
40 + x + 80 = 180 degree (being linear pair)
120 + x = 180
x = 180 - 120
x = 60 degree
y + 120 = 180 degree (being linear pair)
y = 180 - 120
y = 60 degree
70 + 50 + z = 180 degree (being linear pair)
120 + z = 180
z = 180 - 120
z = 60 degree
x + y + z = 180 degree (being linear pair)
Note : A linear pair is a pair of adjacent angles formed when two lines intersect.
OD
2. Given that x + 3 = -2. Find the value of x. (Diberi x + 3 = -2. Cari nilai x.) *
A. 1
B. - 1
C. 5
D. -5
Answer:
D
Step-by-step explanation:
Given
x + 3 = - 2 ( subtract 3 from both sides )
x = - 5
Jonathan George and his friend spend a total of $100 at the school's fair. They spend $25 on parking, $50 for lunch, and the rest on two admission tickets? How much does each admission ticket cost, in dollars?
Answer:
$12.50
Step-by-step explanation:
$100-$25-$50=$25
$25 / 2 = $12.50
Answer:
$12.50
the answer is b the second one
what is the angle of ABF?
========================================
Explanation:
Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.
Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.
Since angle 3 is 55 degrees, angle 1 is also 55 degrees.
--------------
Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)
In other words,
(angle ABJ) + (angle ABF) = 180
angle ABF = 180 - (angle ABJ)
angle ABF = 180 - (angle 1)
angle ABF = 180 - (55)
angle ABF = 125 degrees
