Answer:
Length of sides ;
3.5 yards ; 10 yards.
Step-by-step explanation:
Let :
Side 1 = x
Side 2 = y
x = 2y + 3
Perimeter (P) of rectangle = 2(side1 + side2)
Perimeter, P = 27
P = 2(x + y)
27 = 2(2y + 3 + y)
27 = 2(3y + 3)
27 = 6y + 6
27 - 6 = 6y
21 = 6y
y = 21/6
y = 3.5
From ; x = 2y + 3
x = 2(3.5) + 3
x = 7 + 3
x = 10
Length of the other side of the rectangle will be 10 yards.
Perimeter of a quadrilateral:Perimeter of a quadrilateral is given by sum of all the sides.
Perimeter of a rectangle = 2(Length + Width)
Given in the question,
One side of the rectangle is three yards longer than twice of the other side.Perimeter of the rectangle = 27 yardsLet one side of the rectangle = x yards
Therefore, other side of the rectangle = (2x + 3) yards
Substitute the values in the expression for the perimeter,
Perimeter = 2[x + (2x + 3)]
27 = 2(3x + 3) [Simplify the equation]
27 = 6x + 6
6x = 21
x = 3.5 yards
Other side of the rectangle = (2x + 3) yards
= 2(3.5) + 3
= 10 yards
Therefore, length of the other side of the rectangle will be 10 yards.
Learn more about the perimeter of a quadrilateral here,
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Which is an irrational number?
HELP PLEASE
Answer:
First one
Step-by-step explanation:
If you simplify the first answer, the numbers in the answer will not repeat
Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviation of £975. A random sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from self-employment in the clothing industry was significantly different?
Answer:
Yes, There is significant difference.
Step-by-step explanation:
Null Hypothesis , H0 : Mean income = 15000
Alternate Hypothesis , H1 : Mean income ≠ 15000
t = (x - u) / ( s / √n)
x = sample mean = 14500 here, u = population mean = 15000 here , s = standard deviation = 975 here , n = sample size
t = (14500 - 15000) / (975 / √169)
-500 / 75 = - 6.66
As calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠ 15000'
HELP ASAP I’ll GIVE BRAINLIEST :))))
Which of the following does -
Answer:
Step-by-step explanation:
A
please help me i’m so confused
Mindy can drive a total of 375 miles on one full tank of gas, witch is 25 gallons. based on this information, what is the constant of proportionality
A 10
B. 15
C.25
D.375
Answer:
B. 15
Step-by-step explanation:
math please help me please help me please help me
Answer:
Step-by-step explanation:
Step One: Cancel 3x and 6x.
6x/3x = 2
Step Two: Factor x^2 + 5x + 6
(x+3)(x + 2)
Step Three: Factor x^2 + 9x + 14
(x + 2)(x +7)
Answer
2*(x + 3) / (x + 7) The (x + 2 )s cancel out
the digit in the 6 in which number represents a value of
choose 1 answer:
A.5,716
B.186,200
C.644
Answer:
down below
Step-by-step explanation:
we dont know what the number is
Factor:
14y2 + 7y
Your answer should be in the format:
GCF ( )
Do NOT use spaces
Do NOT use capital letters
Answer:
7y(2y+1)
Step-by-step explanation:
Susan drove 754 miles in 13 hours.
At the same rate, how long would it take her to drive 638 miles?
Answer:
It would take her 11 hours
Hope this is right
Step-by-step explanation:
yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it
Answer:
The average rate of change is 4.
Step-by-step explanation:
Average rate of change is simply a fancy way of saying "find the slope".
So for slope, we use (y2-y1)/(x2-x1).
(3-(-13))/(2-(-2))
16/4
4
Please HELP! I'll give a Brainliest to the correct answer.
------------------------------------------------------
A hardware store sells 2 gallons of paint and a paintbrush for a total of $45. Last year, Katy bought 4 gallons of paint and a paintbrush in order to paint her porch and paid a total of $85. The system of equations below represents this relationship.
2x+y=45
4x+y=85
This year, Katy needs to paint a shed, so she buys more paint and paintbrushes. She replaces the equation 4x+y=85 with the equation 6x+2y=130, which is the sum of 4x+y=85 and 2x+y=45.
Determine whether each statement below is true. Select (Yes) or (No) for each statement.
The price of a paintbrush this year is $5.
The price of a gallon of paint thi year is $25.
The price of a paintbrush this year is the same as it was last year.
The price of a gallon of paint this year is the same as it was last year.
This year, Kelly buys 6 gallons of paint and 2 paintbrushes for $130.
Answer: True false true false false
Step-by-step explanation:
Answer:
Step-by-step explanation:
True false true true
She writes the expression (0.2) (14). Which change in Mikel's expression will lead her to the correct answer? The 14 in the expression could be changed to 28. The 0.2 in the expression could be changed to 0.4. The 14 in the expression could be changed to 70. The 0.2 in the expression could be changed to 2.
Complete question :
Mikel creates the table below to help her determine 40% of 70. She writes the expression Which change in Mikel’s expression will lead her to the correct answer?
Corresponding chart for the problem is attached below.
Answer:
The 0.2 in the expression could be changed to 2.
Step-by-step explanation:
40% of 70
Directly working this out, we obtain :
0.4 * 70 = 28
From the table :
To obtain same from the columns, 0.2 is adjusted to 2.
Hence, 2 * 14 = 28
(05.05) Which of the following inequalities matches the graph? (1 point)
Answer: Choice A. [tex]x \le -7[/tex]
=====================================================
Explanation:
Every point in the shaded region has an x coordinate that is equal to -7 or smaller.
Example points include
(-8, 0)(-10, 2)(-9, -5)The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.
PLS HELP ILL MARK AS BRAINIEST :c!!!!!!!
Answer:
it 982y
Step-by-step explanation: the kid just do your work
Answer:
19.5km^2
Step-by-step explanation:
4500 times 6.5%
divide 292.5 by 15
then you get 19.5
Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar
A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.
B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.
C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6
Answer:
Step-by-step explanation:
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ,
(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)
Answer:
the answer is D
hope this helpful
the 2 triangles are similar. if the perimeter of triangle abc is 28, find the value of x
_____+67-34=72 plzzz help me
ax ndw/klfme'lwmqasxdefrtghy6u7jygtrfasStep-by-step explanation:
Answer:
Solve everything backwards
It REALLY helps!
Step-by-step explanation:
Solve using the elimination method.
2x-3y=7
4x-4y=4
Answer:
x=4, y=5
Step-by-step explanation:
You obtain an answer by subtracting the second equation from the first.
Step-by-step explanation:
2x-3y=7-----------(1)
multiply by 2 in first equation
4x-6y=14------------ (2)
4x-4y=4---------------(3)
then, subtracting eqn (3) from (1)
4x-6y=14
4x-4y=4
sin change - + -
_________
-2x=10
x=-5
putting value of x on eqn (3)
4x-4y=4
-20-4y=4
-4y=24
y=-6
NEED HELP ASAP! ILL GIVE BRAINLIEST
p⁷×p⁴÷p⁵
Palese can Any one can help me In completing this question
Answer:
the answer p to the 6th power
Step-by-step explanation:
here
p7xp4
p11/p5
p6
Item 9
Question 1
Solve the inequality. Graph the solution.
t−4≤−14
The solution of the given inequality is t ≤ -10.
What is inequality?When two values are not equal to one another, there is an inequality between them, which is a mathematical concept. It is a claim that one value exceeds or falls short of another.
Mathematical symbols for inequalities include (less than), > (greater than), (less than or equal to), and (greater than or equal to).
Given that,
t - 4 ≤ -14
The inequality can be solved as below,
t - 4 ≤ -14
t ≤ -14 + 4
t ≤ -10
Therefore, the solution to the inequality is t ≤ -10.
To know more about inequality follow
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SPJ2
what percent of 75 is 15
rebember to wright answer in percent form
Answer:
20%
Step-by-step explanation:
1. A group of friends share a large popcorn at the movies. It costs $4.95 to buy the first bag and $0.65 for each refill.
If they spent $6.90, how many times did the group of friends refill their popcorn?
9. Write the equation of a line that is PERPENDICULAR to 6x+3y=15 and passes
through the coordinate (12,-5).
Answer:
y = 1/2x - 11
Step-by-step explanation:
Step one convert to y = mx+b form
6x + 3y =15
Isolate Y
3y = -6x + 15
Divde the 3 among the other numbers
y = -2x + 5
That is the equation
perpindiculr to that is y = 1/2x + 5 but solve for the points and plug in
the points are (12,-5)
So -5 = 1/2 (12) +b
-5 = 6 + b
Solve for B
-5 - 6 = b
b = -11
FINAL EQUATION
y = 1/2x - 11
Does this table represent a proportional relationship?
A) Yes
B) No
Find volume and surface area
what is the slope intercept form of the line ?
Answer:
D
Step-by-step explanation:
Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.
Answer:x+2=y
Step-by-step explanation:
Please answer number 14
I already tried but don’t understand
Which of the following explains why space objects are massive in size?
Icy and gaseous material was pushed out by the sun's heat.
Hydrogen atoms fused to form helium due to high pressure.
Large objects clumped together due to gravity to form larger objects.
Large objects were broken apart due to gravity to form fine stellar dust.
Answer: C) Large objects clumped together due to gravity to form larger objects.
Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.
Answer:
Large objects clumped together due to gravity to form larger objects.
Explanation:
All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.
In 1990 it would have cost $3.70 to send 13 postcards and 7 letters. It would have cost
$2.65 to send 6 postcards and 7 letters. How much did it cost to send a letter in 1990?
Answer:
$0.37
Step-by-step explanation:
This can be solved by solving a system of linear equations that is shown above.