Answer:
3 m
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 5 = 8 parts
Divide the length by 8 to find the value of one part of the rope
24 m ÷ 8 = 3 m ← value of 1 part of the ratio
Thus the shortest piece is 3 m
The required length of the shortest piece is 3 meters.
Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
let the required proportion is equal to x,
then,
x + 2x + 5x = 24
8x = 24
x = 3
Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter
Thus, the required length of the shortest piece is 3 meters.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ5
.Distribute and combine like terms: −4(7r + 7)
Answer:
−28r−28
Step-by-step explanation:
−4(7r+7)
=(−4)(7r+7)
=(−4)(7r)+(−4)(7)
What is the volume of this rectangular prism?
Jasper built a dollhouse for his younger sister.
A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)
Answer:
It's A :)
Also can i please have brainliest :)
Answer:
A
Step-by-step explanation:
. Find the sum of the infinite series, if it exists.
-270+135-67.5+⋯
Answer:
-180
Step-by-step explanation:
135/-270 = -1/2
67.5/135 = -1/2
The series is an infinite geometric series with r = -1/2
Since -1 < |r| < 1, the series has a sum
and equals a/(1 - r) a = -270
S = a/(1 - r) = -270/(1 + 1/2) = -270/(3/2) = -180
Is 80, 150, 170 a pythagorean triple?
Answer:
Yes
Step-by-step explanation:
80² + 150² = 170²
6400 + 22500 = 28900
28900 = 28900
help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
The second box is the answer
Step-by-step explanation:
Solution
V=whl=5·5·5=125
PLEASE HELP GEOMETRY !!!!!
Answer:
x = 11.5
Step-by-step explanation:
[tex] \sin \: 35 \degree = \frac{x}{20} \\ \\ x = 20 \sin \: 35 \degree \\ \\ x = 11.471528727 \\ \\ x = 11.5[/tex]
PLEASE HELPP ILL GIVE BRAINLIEST
Van kept track of the number of hours that he spent at the
pool each week for several weeks. He spent 6, 2, 6, 3, and
3 hours.
What is the mean number of hours that Van spent at the pool each week?
A. 20 hours
B. 4 hours
C. 3 hours
D. 5 hours
Answer:
B. 4 hours
Step-by-step explanation:
add every number up
6+2+6+3+3= 20
then divide by the number of numbers you used to add with.
20÷5=4
4 hours
Which is the vertex point of the equation y = (x - 1)2 - 16
Answer:
The vertex is at (h, k), which here is (1, -16).
Step-by-step explanation:
Compare the given y = (x - 1)2 - 16 (which should be y = (x - 1)^2 - 16 )
to y = (x - h)^2 - 16.
We can readily see that h = 1 and k = -16.
The vertex is at (h, k), which here is (1, -16).
i need help with this
Answer:
151
Step-by-step explanation:
Answer:
151
Step-by-step explanation:
please help me find the missing angles for each problem
Answer:
1) L1 = 123
L3 = 57
2) L1 = 49
L3 = 131
3) L2 = 116
L4 = 64
4) L1 = 108
L2 = 72
5) L3 = 69
L4 = 111
6) L3 = 124
L4 = 56
A triangle has vertices at A(-6, -3).
B(1,5), and C(4. -4). The triangle is
dilated according to the
transformation below. The center of
dilation is the origin.
(x, y) → (2x, 2y)
What are the vertices of the image of
the triangle?
Answer:
I ca
Step-by-step explanation:
can't type so the first one.
1. Determine the lateral and total surface
area of the pyramid.
(I need full explanation on how to solve
Answer:
Laterial surface area: 73 cm²Total surface area: 93 cm²Step-by-step explanation:
The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.
The laterial surface area LSA is:
LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)
LSA = 4 • 8 + 5 • 8.2
LSA = 73 cm²
The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:
SA = LSA + 4 • 5
SA = 73 cm + 20 cm²
SA = 93 cm²
A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.
Match the description to the appropriate term.
internal energy
heat
thermal energy
Answer:
I got all right. Thanks.... ❤️
[tex](\frac{v^2-49}{20v^3} )(\frac{4v^2-24v}{v^2+v-42} )[/tex]
I will give brainiest to answer with explanation.
Correct answer is
[tex]\frac{v-7}{5v^2}[/tex]
9514 1404 393
Answer:
(v -7)/(5v^2)
Step-by-step explanation:
Cancel common factors from numerator and denominator.
[tex]\dfrac{v^2-49}{20v^3}\times\dfrac{4v^2-24v}{v^2+v-42}=\dfrac{4}{20}\cdot\dfrac{(v-7)(v+7)(v)(v-6)}{v^3(v+7)(v-6)}\\\\=\dfrac{1}{5}\cdot\dfrac{v-7}{v^2}\cdot\dfrac{v(v+7)(v-6)}{v(v+7)(v-6)}=\boxed{\dfrac{v-7}{5v^2}}[/tex]
Solve the following quadratic equations using factoring.
a. x2 + 10x + 24 = 0
Answer:
x = - 6, x = - 4
Step-by-step explanation:
Given
x² + 10x + 24 = 0 ← in standard form
(x + 6)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 4 = 0 ⇒ x = - 4
5) Write the 5 number summary and draw a box and whisker plot.
58, 67, 44, 72,51, 42, 60, 46, 69
Answer:
Mean: 56.55
Median: 58
Minimum: 42
Maximum: 72
Q1: 45
Q2: 58
Q3: 68
IQR: 23
Range: 30
find a single discount equivalent to two successive discount of 20% and 5%
Answer:
Let the marked price =Rs100
After a discount of 20%, the price = 100−20% of100 = 100−10020×100 = 100−20=80
After a further discount of 5%, price = 80−5% of80 = 80−1005×80 = 80−4 = Rs76
Final Selling = Rs76
Total Discount = 100−76=Rs24
Thus, discount % = 10024×100 = 24%
What is the angle relationship?
Answer:
z = 15 degrees, 5z = 75 degrees
Step-by-step explanation:
AYB is 180 degrees
CYD is 90
so the two missing angles sum to 180 - 90 = 90
z + 5z = 90
6z = 90
z = 15
5z = 75
the question is find the product of -8 and the sum of -2(10x + 3y) and -5(6y -7x)
Answer:
Step-by-step explanation:
-2(10x + 3y)
-20x -6y [-2 multiplied by 10x = 20x, negative + positive = negative]
-5(6y -7x)
-30y + 35x
-20x -6y -30y +35x
35x - 20x -30y -6y
15x - 36y
Answer = 15x -36y
Answer:
- 120x + 288y
Step-by-step explanation:
Begin by summing the 2 expressions
- 2(10x + 3y) - 5(6y - 7x) ← distribute parenthesis
= - 20x - 6y - 30y + 35x ← collect like terms
= 15x - 36y
Now multiply the result by - 8
- 8(15x - 36y) ← distribute
= - 120x + 288y
An iphone costs $1000 and is on sale for 20% off
can any body help me with Factoring
Answer:
Sure I would love to help you with factoring
Mark my answer as brainliest and I shall help you
3x+5y=27.50 & 6x+3y=27
I love you
Answer:
what do u want me to do withthis question
can u edit then I’ll edit
Step-by-step explanation:
what two number multiply to 24 and add to -11
Answer:
8 and 3
Step-by-step explanation:
Brainliest Please
Answer:
One example is x = -8, y = -3
Step-by-step explanation:
Lets make a system of equations.
Let x be the first number and y be the second.
x * y = 24
x + y = -11
Solve for x and substitute.
x = 24/y
24/y + y = -11
24 + y^2 = -11y
y^2 + 11y + 24 = 0
Factor.
(y + 8)(y+3) = 0
So one example is x = -8, y = -3
find the value of each variables
Answer:
X=11
y=22
Step-by-step explanation:
[tex]tan60\frac{11\sqrt{3} }{x} \\\\\sqrt{3} =\frac{11\sqrt{3} }{x} \\\\x=\frac{11\sqrt{3} }{\sqrt{3} }[/tex]
⇒x=11
[tex]Sib 60=\frac{11\sqrt{3} }{y} \\\\\frac{\sqrt{3} }{2} =\frac{11\sqrt{3} }{y} \\\\y=\frac{11\sqrt{3} }{\sqrt{\frac{3}{2} } }[/tex]
⇒ y=22
hope it helps....
NO LINKS PLEASE HELP A bag containing 35 marbles has red and green marbles. If the ratio of green marbles to red marbles is 2 to 5, how many green marbles are in the bag
O 25
O 14
21
10
What is 30326.4 rounded to the nearest tenth?
Answer:
30326.4 rounded to the nearest tenth is 30326.4
Step-by-step explanation:
There is no hundredth to change the .4 it is already good as it is.
The graph of a quadratic function is shown below
Which statement about this graph is not true?
aThe graph has an axis of symmetry at x=-3
bThe graph has a y-intercept at (0,0)
cThe graph has a maximum point at (-3,-3)
dThe graph has an x-intercept at (-6,0)
Answer:
c, the graph has a maximum point at (-3,-3)
Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3
Answer:
f(x) = 4x^2 - 13
Step-by-step explanation:
f(x)=4(x-2)^2 + 3 parentaties first
f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties
f(x) = 4x^2 - 16 + 3 combine light terms
f(x) = 4x^2 - 13 Answer
Hope I helped :)