Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere armar tres líneas del mismo tamaño, una de cada color y sin cortar ninguna tira. a) ¿Cuánto va a medir la menor línea que se puede armar con cada color? b) ¿Cuántas tiras se deben utilizar? c) ¿Cuántas de cada color?
Answer:
a) Smallest line that can be made with each color = 300 cm
b) Total strips should be used = 47 strips
c) Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
Step-by-step explanation:
Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.
To find - a) How long is the smallest line that can be made with each color?
b) How many strips should be used?
c) How many of each color?
Proof -
a)
For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.
Firstly,
Decompose the 3 strips to its prime factors , we get
15 = 3×5
20 = 2²×5
25 = 5²
So,
The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300
∴ we get
Smallest line that can be made with each color = 300 cm
b)
Now,
Total strips used = 300 cm
Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips
Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips
Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips
So,
Total strips should be used = 20 + 15 + 12 = 47 strips
c)
Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
Which mixed number represents point D?
A)3 1/10
B)2 9/10
C)2 10/10
D) 3 2/10
Answer:
1/10
Step-by-step explanation:
in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?
Answer:
20%
Step-by-step explanation:
465 - 372 = 93
93/465 = 0.2
0.2 × 100 = 20
Hope this helps !
Plz help I’m having trouble doing this
Answer:
Step-by-step explanation:
Adjecent angle: Two angles that have the same vertex and one side in common.
Vertcial angle: Pairs of opposite angles formed by intersecting lines-- vertical angles have the same measure.
The answer is in the screenshot I hope I helped.
If you want to you can give me brainliest. (Your choice :D NO Pressure)
3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
someone pleasr help!!
Answer:
I think the answer is 7x+ 6a
Step-by-step explanation:
3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
3 (-6x) + 5 (1a) -2 (6x)
3x + 6a + 4x
= 7x+ 6a answer!
Who can solve and attach a pic so I can write down how I got the answer
if £1=$1.56, what is $1 worth
Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.
Answer:
We have the inequality:
-46 < -34
This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.
An example to see this is suppose that these numbers represent money.
Because the numbers are negative, then these represent money you owe.
-46 means that you owe $46
-34 means that you owe $34
Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.
Another example is if these numbers represent distance under the surface of the water.
-46 means that you are 46 ft under the surface of the water
-34 means that you are 34 ft under the surface of the water.
Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.
if 3x-4y+7=0 and 2y-x^2=0 for x is greater or equal to 0 then x=
(a)1.27
(b)2.07
(c)2.77
(d)4.15
(e)5.53
pls help :D
( #7- it’s a -5 )
Answer:
Use rules of logarithms to expand.
Undefined!
Step-by-step explanation:
what value of n make this equation true 12(n+6)=96
Answer:
2
Step-by-step explanation:
(6+2)x 12 =96
Answer:
2
Step-by-step explanation:
12(2+6)=96
12×8=96
I need 20 characters so yeah. Have a great day.
How many more people in the world speak Chinese than English ?
Answer:
Chinese speakers = 17
English speakers = 8
Difference = 17 - 8
Difference = 9
There will be 9 more Chinese speakers than English Speakers.
Step-by-step explanation:
Which one do i chose?
Answer:
choose the third one because a third one look like talking about the degrees and length
I need help with this! Which one is it?
Answer:
82 degrees
let the point where the lines cross be E
ABD angle is 108 / 2 = 54 degrees
CAB angle is 56 / 2 = 28 degrees
the missing angle in ABE triangle is 180-54-28=98 degrees. angle x is 180 - 98 = 82
hello please help thanks
Answer:
most likely the last choice
Step-by-step explanation:
Answer: during evaporation
Step-by-step explanation: the sun heats up the water which caused it to evaporate
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. What is the measure of angle Y
Pls help me‼️‼️‼️‼️‼️
Y = ½(Z)
Step-by-step explanation:
X = Y = x°Z = 2YY = ½(Z)
HELLLPPP!!!
What is the equation of the parabola with focus(1, 1/2)
and directrix y = 3?
A. Y=x^2+17x-1
B. Y=-3/16x^2
C. Y=1/5x^2+2/5x+31/20
D. Y=-3/5x^2-14/31x+71/16
Given:
Focus of a parabola = [tex]\left(1,\dfrac{1}{2}\right)[/tex]
Directrix: [tex]y=3[/tex]
To find:
The equation of the parabola.
Solution:
The equation of a vertical parabola is:
[tex]y-k=\dfrac{1}{4a}(x-h)^2[/tex] ...(A)
Where, [tex](h,k)[/tex] is center, [tex](h,k+a)[/tex] is focus and [tex]y=k-a[/tex] is the directrix.
On comparing the focus, we get
[tex](h,k+a)=\left(1,\dfrac{1}{2}\right)[/tex]
[tex]h=1[/tex]
[tex]k+a=\dfrac{1}{2}[/tex] ...(i)
On comparing the directrix, we get
[tex]k-a=3[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]2k=\dfrac{7}{2}[/tex]
[tex]k=\dfrac{7}{4}[/tex]
Putting [tex]k=\dfrac{7}{4}[/tex] is (i), we get
[tex]\dfrac{7}{4}+a=\dfrac{1}{2}[/tex]
[tex]a=\dfrac{1}{2}-\dfrac{7}{4}[/tex]
[tex]a=\dfrac{-5}{4}[/tex]
Putting [tex]a=\dfrac{-5}{4},h=1,k=\dfrac{7}{4}[/tex] in (A), we get
[tex]y-\dfrac{7}{4}=\dfrac{1}{4\times \dfrac{-5}{4}}(x-1)^2[/tex]
[tex]y-\dfrac{7}{4}=\dfrac{-1}{5}(x^2-2x+1)[/tex]
[tex]y-\dfrac{7}{4}=-\dfrac{1}{5}(x^2)-\dfrac{1}{5}(-2x)-\dfrac{1}{5}(1)[/tex]
[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x-\dfrac{1}{5}+\dfrac{7}{4}[/tex]
On further simplification, we get
[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{35-4}{20}[/tex]
[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{31}{20}[/tex]
Therefore, the equation of the parabola is [tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{31}{20}[/tex].
Note: Option C is correct but the leading coefficient should be negative.
Can someone help only answer if you know and scam links are getting reported
Answer:
12 cubic centimeter blocks are in the bottom layer
What is the answer to this? Please help.
Answer:
1441.08 cubic inches
Step-by-step explanation:
Blue
V = L * W * H
L = 15
W = 9
H = 9
V = 9 * 9 * 15 = 1215 CU IN
YELLOW
Diameter = 6
Height = 8
radius = d/2
radius = 6/2
radius = 3
Volume = pi*r^2 * h
Volume = 3.14*3^2 * 8
Volume = 226.08 Add
1441.08
A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 153 chocolate
and 187 mocha. What percent of the cupcakes sold that day were chocolate?
Answer:
45% of the cupcakes baked on that day were chocolate flavored.
Step-by-step explanation:
Hey there!
We're given that the bakery sold 153 chocolate cupcakes and 187 mocha cupcakes.
Let's find the total number of cupcakes baked in a day.
[tex]153 + 187 = 340[/tex]Now, we need to find the ratios of the cupcakes. Of the 340 cupcakes baked, 153 were chocolate flavored. Therefore, we can create a ratio between the two values and find the percentage.
Step 1: Define Values
153 chocolate cupcakes baked340 cupcakes in totalStep 2: Create Ratio and Simplify
[tex]\displaystyle \frac{\text{153 chocolate cupcakes}}{\text{340 total cupcakes}} = \frac{153}{340} = 0.45[/tex]
Step 3: Convert from Decimal Form to Percentage Form
[tex]0.45 \times 100\% = 45\%[/tex]
Therefore, we have determined that 45% of the cupcakes baked on that day were chocolate flavored.
what does f(2x+16) mean, id f at 2x
+16
Solve the equation using Order of Operations. (It's in the picture)
A) 87
B) 101
C) 68
D) 99
I am not allowed to use a calculator, by the way.
Step-by-step explanation:
(38+45)+9*2+3-59+((4/2)*3+8*5)=
83+18+3-59+(6+40)=
83+18+3-59+(6+40)=
83+18+3-59+46=
(83+18+3+46)-59=
150-59=91
I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.
Please help me!
No links!!! Please!
Answer:
d = -3
Step-by-step explanation:
-3 -9 = -12
-12/6
= -2
Will give brainlyest to the first correct answer! Easy points
Answer:
its most likely A
Step-by-step explanation:
Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A
WHAT IS THE RANGE FOR THIS GRAPH?
PLEASE HELP
Answer:
[0,5] or 0≤ y≤ 5
Step-by-step explanation:
Not 100% certain but all the values are included even though there is an open circle
1/2 x 1 3/5 to the simplest form
Answer:
4/5
Step-by-step explanation:
Convert 1 3/5 into improper fraction
1 3/5 -> 8/5
1/2x8/5= 8/10
8/10= 4/5
How do you write the equation for this word problem: DeShawn spent $650 on pairs of pants. Dress pants cost $100 and jeans cost $70. If he bought a total of 8, then how many of each kind did he buy? And can you please show this step by step. Thank you
Answer:
He bought 5 pairs of jeans and 3 pairs of pants.
Step-by-step explanation:
5j + 3p = 650
5 × 70 = 350
3 x 100 = 300
350 + 300 = 650
Solve the 4 letter code please I need it before midnight, it's not a word.
Answer:
1. E
2. A
3. B
4. I
Step-by-step explanation:
EABI, try it out, comment if i get it right, i am so f**cking tired right now so sorry if its wrong
What is the length of the unknown leg in the right triangle?
Answer:
15m
Step-by-step explanation:
a^2 + b^2 = c^2
a=?
b = 20m
c = 25m
a^2 + (20m)^2 = (25m)^2
a^2 + 400m^2 = 625m^2
a^2 = 625m^2 - 400m^2 = 225m^2
a = 15m
Answer:
The answer is 15
Step-by-step explanation:
PLS HELP!!!!!
which polynomial is a perfect square trinomial?
A. 49x^2 - 28x + 16
B. 4a^2 - 20a + 25
C. 25b^2 - 20b - 16
D. 16x^2 - 24x - 9
Answer:
B
Step-by-step explanation:
We have to find which trinomial has:
1) two terms that are the perfect square of two numbers
2) a terms that is the double product of the two numbers
the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2
Options C and D are traps because the square of a number can’t be negative