A piece of wood is cut into three different sized pieces. The ratio of the three pieces is 4:5:6. If the actual length of the wood is 45 inches, then what is the length of the short side?
Answers
Answer:
12
Step-by-step explanation:
So 4:5:6 = 45
4+5+6 = 15
45/15 = 3
Since 4 is the smallest, 4*3 = 12.
Hope this works!
Answer:
Step-by-step explanation:
This is a question worth knowing how to do. It is prime candidate for a test question.
Equation
Let the unit be x
therefore
4x + 5x + 6x = 45
Solution
15x = 45
x = 45/15
x = 3
The shortest piece is 4*3 = 12
The middle piece = 5*3 = 15
The longest piece = 6*3 = 18
Total 45
Related Questions
JNCHH$JCERLKERIUVHCEKCORCURNJ
Answers
Answer:
YAs
Step-by-step explanation:
x - 0.25x = 0.75x
what statement can match that equation ?
example: decrease a number by 75% is the same as multiplying by 45%
Answers
Mrs.Browns rectangular kitchen is 10 ft wide and.16 ft long, if she creates a scale drawing.With a length of 4 inches, what would be the width
Answers
Answer:
2.5 inches
Step-by-step explanation:
1 feet = 12 inches
The length is 16 ft x 12 = 192 inches
The length was scales by an unknown measure which i would represent with x . The equation is as follows
192 inches x a = 4 feet
a = 48
The kitchen was scaled by 48
10 x 12 = 120 inches
120/48 = 2.5 inches
An item is regularly priced at $72. Keiko bought it on sale for 80% off the regular price. How much did she pay?
Answers
Answer:
$57.60
Step-by-step explanation:
find 50% = $36
find 10% = $7.20
triple $7.20 = $21.60
add £36 and $21.60 = $57.60
Regular pentagon MNQR similar to pentagon TUVWX. What scale factor was used dilate regular pentagon MNPQR to Pentagon TUVWX?
Answers
Answer:
. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.
To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.
(which is the same as the number of sides).
540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.
2. 540°
Sum of Interior Angles of a Polygon
A pentagon has five sides, thus the interior angles add up to 540°, and so on.
Step-by-step explanation:
.........
Anna is 11 5/6 years old. Morgan is 1 1/3 years older than Anna and Jane is 1 1/4 years older than Morgan. How old is Jane?
Answers
Answer:
18
Step-by-step explanation:
What is the slope of y=-1+3x
Answers
Answer:
That is the format for a slope so you already have it but its incorrect
Step-by-step explanation:
Slope format is y=mx+b
Your x shouldnt be next to the 3
This question isnt accurate or your missing information
====================================================
Explanation:
Because we can add two numbers in any order, the equation y = -1+3x is the same as y = 3x+(-1).
Compare this to y = mx+b, which is slope intercept form.
We see that m = 3 is the slope and b = -1 is the y intercept.
The scale of a model train is 1 inch to 13.5teet One of the cars of the model train is 5 inches long-
What is the length, in feet, of the actual car?
Show work
Answers
Given :
The scale of a model train is 1 inch to 13.5 feet.
One of the cars of the model train is 5 inches long.
To Find :
The length, in feet, of the actual car.
Solution :
It is given that scale of the model is 1 inch to 13.5 feet. It means that 1 inch in the actual scale is equal to 13.5 feet in real.
So, length of car real is :
Length = 5 × 13.5 feet
Length = 67.5 feet
Therefore, the length of the actual car is 67.5 feet.
solve for x!!! !!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
X=8
Step-by-step explanation:
2(x+1)+3=3(x-1)
2x+2+3=3x-3
2+3+3=3x-2x
8=x
Need help pleaseeeee!!
Answers
Answer: z 1/2
Step-by-step
:) 100%
Azil runs 6 times four-fifths laps on Monday. Which fraction represents the number of laps that Azil runs on Monday?
Answers
Answer:
24 / 5 laps
Step-by-step explanation:
Fraction of laps run = 4/5 laps
Number of times lap was run = 6
Fraction representing total laps run :
6 * (4/5)
= 24 / 5
Or
24 /5 = 4 4/5 laps
Plz help there is picture
Answers
Answer:
the first one is right ahaha
Step-by-step explanation:
A population of ants is 10,000 at the start of April. Since then, it triples each month.
Month since April Number of Ants
0
1
2
3
4
Answers
Answer:
Month since April Number of Ants
0 10,000
1 30,000
2 90,000
3 270,000
4 810,000
Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.
0 months from April = 10,000 * 1 = 10,000 ants
1 month from April = 10,000 * 3 = 30,000 ants
2 months from April = 30,000 * 3 = 90,000 ants
3 months from April = 90,000 * 3 = 270,000 ants
4 months from April = 270,000 * 3 = 810,000
A rectangle has a width of 8 units and a
length of 10 units. What is the length of the
diagonal of this rectangle
Answers
Answer:
12.8 units
Step-by-step explanation:
Adding a diagonal makes it into 2 of the same right-angled triangles.
In right angled triangles, you can use Pythagoras' therorem which says that a^2+b^2=c^2 where a and b are the shorter sides and c is the diagonal.
This means that 8^2+10^2=diagonal^2=64+100=164
The diagonal is then the square root of 164 which equals 12.806248...
To eliminate the y terms, you can multiply the first equation by 5 and the second equation by what number?
Answers
Step-by-step explanation:
the second equation should be multiplied by 9
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is tails?
Answers
Answer:
'5,3$492
Step-by-step explanation:
649`~_fs?.©α€~_a sv zbs svsh
-5=d/4+3 show work please.
Answers
Answer:
d= -32
Step-by-step explanation:
d/4+3=-5
d/4=-8
d=4 x (-8)
d= -32
20 POINTS IF YOU GET THIS I NEED HELP
Answers
Answer:
sum=3.2559347
Step-by-step explanation:
product= 2x6x2 798.364
did it on edginuty and got it right
Is the following function discrete, continuous, or neither?
Answers
continuous function
is correct :D
How many terms are in the expression 6y-7+4y-2a
Answers
Answer: 3
Step-by-step explanation:
6y, 4y, and 2a
Two sides of a triangle have sides 11 and 16. The length of the third side must be greater than
__and less
than
A) 10, 17
B) 4,28
C) 5,27
D) 11,16
Answers
Answer:
c
Step-by-step explanation:
Hey guys I need help for this math problem is about function thanks if you can have a good day
Answers
Answers:
Graph A is a function
Graph B is not a function
========================================================
Explanation:
To check if we have function or not, we apply the vertical line test. This test is where you ask yourself: "Is it possible to draw a single vertical line through more than one point on the curve?"
If the answer to that question is "yes it is possible", then we do not have a function. Graph B shows that we can draw a line through say x = 2 and have the vertical line intersect at points (2,2) and (2,4). The input x = 2 leads to multiple outputs y = 2 and y = 4 simultaneously. This is why graph B is not a function.
A function is only possible when any x input from the domain leads to exactly one y output in the range. Graph A is a function because we cannot draw a single vertical line to intersect through that curve more than once.
For the season Kassidi has made 24 2-point field goals, 7 3-point field foqls, and 15 free throws that are worth 1 point each. Write and evaluate a numerical expression to find the number of points that Kassidi has scored this season.
Answers
48 +21+ 15= 84 total points
LA BASE DE UN RECTANGULO ES 8 M MAYOR QUE LA ALTURA, EL AREA MIDE 65 METROS CUADRADOS ¿CUANTO MIDEN LA BASE Y ALTURA?
Answers
Answer:
23 m and 15 m
Step-by-step explanation:
THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?
Let the height of the rectangle is h.
Base = 8+h
Area of the rectangle, A = 65 m²
We need to find the base and height of the rectangle. The area of a rectangle is given by :
A = bh
So,
[tex]65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m[/tex]
Neglecting negative value, h = 15 m
Base = 8+15 = 23 m
So, the base and height of the rectangle is 23 m and 15 m respectively.
Lola's hair today is 24" long. It grows 1.5" per month. She is a pretty tall girl for her age, about 60" right now! Her brother has long hair too. His hair is about 12" long. What does the y stand for?
Answers
If I'm correct, you're asking which variable is the dependent variable y from the question
Answer and explanation:
The equation can be modelled:
y= 1.5x
Where y is the current length of the hair
x is the number of months of hair growth
We can see from the equation therefore that y is a dependent variable that depends on x the independent variable, the number of months, to get a value. In other words given that her hair grows at a constant rate of 1.5 inches per month, her hair length is based on number of months x of growth in inches of hair.
equivalent Find the number that makes the ratio equivalent to 1:7. 4:
Answers
Answer:
28
Step-by-step explanation:
cross multiply
what does 6 × 9 + 6 + 9 equal? :)
Answers
Explanation:
(6x9)+6+9
=54+6+9
=69
Nathan and Matt plan to paint a house. If Nathan works alone, it will take
10 days. If Matt works alone, it will take 15 days. How many days will it
take to finish the job if they work together?
Answers
Matt= 1/15 of the job per day
3/30 + 2/30. =5/30
1/(5/30) = 30/5. Or 6 days for both working together.
determine if the polygons are similar. If so, write a similarity statement and find the scale factor.
Answers
Answer:
the polygons are similar bc they both share the same angles and DF is equal to AB and EF is equal to AC and DE is equal to BC
What is the circumference of a circle if the radius is 6.7500
Use 3.1415 as pi
Round to the nearest 1000th
Answers
Answer:
Circumference of a circle is C=2 pi r =2(3.1415) (6.7500)=42.4575
Step-by-step explanation
C= 42.4575 , now round to the nearest 1000th...= 42.5000