The ratio of the length of the piece of wire to the length of the rope to the length of the piece of string is 6:5:1.5
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Let the length of the rope = x
Length of a piece of wire = (5/6)x
Length of a piece of string = (1/4)x
Length of the piece of string = 4.5cm
This can be written as,
4.5cm = (1/4)x
45/10 x 4 = x
x = 9 x 2
x = 18 cm
Now,
Length of the rope = 18 cm
Length of a piece of wire = 5/6 x 18 = 15 cm
Now,
Length of the rope : Length of a piece of wire : Length of a piece of string
18:15:4.5
We can simplify the ratio as,
Taking out the common factor 3.
6:5:1.5
Thus,
The required ratio is 6:5:1.5
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Rusty has a cap collection. He has 5 shelves with 7 football team caps on each shelf. He has 3 shelves with 13 baseball caps on each shelf. He gives his best friend 5 football caps and 2 baseball caps.
How many caps, c, does Rusty have now?
Rusty has a total of ___ caps.
Answer:
19
Step-by-step explanation:
decide if the two statements are logically equivalent statements, negations or neither
Answer:
Negations.
Step-by-step explanation:
The first statement is:
p ∧ q
(p and q)
This statement is only true when:
p = true
and
q = true.
And is false in all the other cases.
The other statement is:
¬q ∨ ¬p
(not q or not p)
This statement is only true if at least one of the elements is true, this happens if:
q =false (then ¬q = true)
or
p = false (then ¬p = true)
Then the first statement needs p and q to be true.
The second statement needs at least one of these to be false.
This means that when the first statement is true, the second statement is false.
When the first statement is false, the second one is true.
Then the statements are negations.
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
What is the slope of the equation c=2m+40
Answer:
Slope is m = 2
tep-by-step explanation:
Answer:
slope=2
Step-by-step explanation:
which models represent 1/4÷6 choose all correct answers
Answer:
[tex]\dfrac{1}{24}[/tex]
Step-by-step explanation:
We need to find the value of 1/4÷6.
It can be done as follows :
[tex]\dfrac{\dfrac{1}{4}}{6}[/tex]
We know that, [tex]\dfrac{\dfrac{1}{x}}{y}=\dfrac{1}{xy}[/tex]
We have, x = 4 and y = 6
So,
[tex]\dfrac{\dfrac{1}{4}}{6}=\dfrac{1}{4\times 6}\\\\=\dfrac{1}{24}[/tex]
So, the final answer is equal to [tex]\dfrac{1}{24}[/tex].
A rectangle has an area of 198 square meters and a width of 9 meters.
What is the length of this rectangle?
Answer:
The length of the triangle is 22.
Step-by-step explanation:
Area = width*length
length = area/width = 198/9 = 22
For the following right triangle, find the side length x.
X
12
35
help pls
Answer:
the length of side X is 37
In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this
Answer:
Step-by-step explanation:
Time taken to eat 30 hot dogs = 64 seconds
Time taken to eat 1 hot hot dog = 64 ÷ 30
≈ 2 seconds
Which expression is equivalent to -6(3 + 4x)?
Answer:
A
Step-by-step explanation:
may I have brainllest
Answer:
A
Step-by-step explanation:
a seventh grade special education classroom consists of 14 girls and 16 boys. If 10 of the students are selected at random to help a fourth grade math class, determine the probability that all boys will be selected.
Answer:
8/30015 or .037%
Step-by-step explanation:
16/30 × 15/29 × 14/28 × 13/27 × 12/26 x 11/25 x 10/24 × 9/23 × 8/22 × 7/21
= 8/30015
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
Where is Point A located on the coordinate grid?
Answer:
Quadrant 11
Step-by-step explanation:
Quadrant 2 mark as brainllest
Brainlest and points !! Picture included
The figure shows a pentagon. The length of each side is given
as shown. Find the perimeter of the pentagon in terms of w.
Please help !!
Answer:
perimeter = sum of all side
perimeter in terms of w= w+w+w+w+w
i.e= 5w
PLEASE ANSWER K WILL GIVE BRAINLIEST!!
topic: solving word problems involving linear inequalities in one variable.
Sarah is 4 years older than Jonalyn. Seven years ago, the sum of Sarah's age and
Jonalyn's age is greater than 26. What is the least age of Jonaly?
Answer:30
Step-by-step explanation:26+4
What is the quotient when (x+ 2) is divided into the polynomial 2x2 - 2x - 12?
O A. 2x-5 with no remainder
O B. X+ 3 with a remainder of -2
O C. 2x-3 with a remainder of 5
O D. 2x-6 with no remainder
Answer:
2x² - 2x - 12 ÷ (x+2)
= 2x - 6
D. 2x-6 with no remainder
The quotient when (x + 2) is divided into the polynomial 2x² - 2x - 12 is, (2x - 6) with no remainder.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
To find the quotient when (x + 2) is divided into the polynomial
2x² - 2x - 12.
Now,
The polynomial is,
⇒ 2x² - 2x - 12
⇒ 2 (x² - x - 6)
⇒ 2 (x² - 3x + 2x - 6)
⇒ 2 [ x (x - 3) + 2(x - 3) ]
⇒ 2 [ (x + 2) (x - 3) ]
Hence, We can divide polynomial by (x + 2) as;
⇒ 2 [ (x + 2) (x - 3) ] ÷ (x + 2)
⇒ 2 (x - 3)
⇒ 2x - 6
Therefore, the quotient when (x + 2) is divided into the polynomial
2x² - 2x - 12 is, (2x - 6) with no remainder.
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In AXYZ, ZX=13° and XY=63º. ZXWZ=90° and XY=690. Find the length of XW to
the nearest 10th.
What's the perimeter?
Answer:
B. 24
Step-by-step explanation:
You add a+b+c.
A would be 5in
B would be 5in again because you can see they are the same
C would be 6in
Then you would add them all together.
5+5=10
10+6=16
Then you would multiply this by 1 1/2
This will equal out to 24
HOPE THIS HELPS
Find out the area of parallerogram
If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?
Answer:
the value of x that gives the greatest difference is 10.
Step-by-step explanation:
Given;
x² and x³
values of x = 6, 8 and 10
When x = 6
6³ - 6² = 216 - 36 = 180
When x = 8
8³ - 8² = 512 - 64 = 448
When x = 10
10³ - 10² = 1000 - 100 = 900
Therefore, the value of x that gives the greatest difference is 10.
A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?
Answer:
soln
A=(9,j)
x1=9,y1=j
B=(10,4)
x2=10,y2=4
slope=1
by using the fomulaof slope,
slope=y2-y1/x2-x1
1 =4-j/10-9
1 = 4-j/1
1=4-j
j=4-1
j=3
Answer:
j = 3
Step-by-step explanation:
(9 , j) ; [tex]x_{1}= 9[/tex] and [tex]y_{1} = j[/tex]
(10, 4) ; [tex]x_{2} = 10[/tex] and [tex]y_{2} = 4\\\\[/tex]
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1[/tex]
4 - j = 1 {Subtract 4 from both sides}
-j = 1 -4
-j = -3 {Multiply both sides by (-1) }
j = 3
What is the solution to this system of equations? Show your work. 46 points
Answer:
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.
Step-by-step explanation:
Isolate x for 12=1/3x: x=36
[y - 36=9]
the solutions to the system of equation is:
y=45 x=36
help pls will give brainliest to correct answer
11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0
If these numbers represent elevations in meters, which is the farthest away from sea level? Explain please I don't understand. (I've sorted them from least to greatest if that helps)
-12, -¾, -0.4, 0.4, ¾, 8
9514 1404 393
Answer:
-12 m
Step-by-step explanation:
The question is equivalent to asking which of these plotted on a number line is farthest from zero.
Since you have put them in order, you're aware the extremes are -12 and +8. -12 is 12 units from zero, but +8 is only 8 units from zero. An elevation of -12 m is farthest from sea level.
When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each ads on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables Could you graph an equation containing more than four variables Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 19 What would happen to the graph it all the values were increased by 19 What would happen to the graph if all the y-values were multiplied by 2 or by 1129 Explain
Answer:
that sounds rlly confusing ngl hope u get it right
Step-by-step explanation:
PLEASE HELP!! 30 POINTS
Answer:
I think it is A I did the math but not all the way convinced
Step-by-step explanation:
Find the diameter and circumference of each circle given its radius of 4 cm. Use pi = 3.14 and round answers to the nearest tenth.
What is the product of (t – 4) (t? + 2t - 6)?
Answer:
Step-by-step explanation:
(t - 4) (t + 2t - 6)
= t2 + 2t2 - 6t - 4t - 6t + 24
= Solving like terms
= 3t2 - 16t + 24
Jasmine and Olivia each have a bracelet collection.
The number of bracelets in Jasmines collection is represented by x.
The number of bracelets in Olivia's collection is 4 times the number in Jasmines collection
The total amount of bracelets in both collections is 45
What is x, the amount of bracelets in Jasmines collection?
Answer:
x = 11.25
Step-by-step explanation:
4x=45
divide 4 from both sides
4/4 x = 45/4
x= 11.25
Answer:
x= 11.25
Step-by-step explanation:
4x = 45
4 * 45/4= 45
45=45