Answer:
Step-by-step explanation:
let the length of shortest side be x
and length of second side be 2x
and third side be x+17
given , perimeter = 173 feet
therefore , x+2x+x+17 =173
4x =173-17
4x =156
x = 156/4
x = 39
therefore ,
length of :
shortest side = 39 feet
second side =78 feet
third side =56 feet
hope it helps.. please mark me as the brainliest...
Dad buys 1/2 pound of fudge at the sweet shop. He shares it with mom, Elizabeth, and Zachary. How much Fudge will each person get?
Answer:
Each person gets 1/8 pound
Step-by-step explanation:
Dad bought = 1/2 Pound of cake
He divided them into 4 people
So,
=> [tex]\frac{1}{2} / 4[/tex]
=> [tex]\frac{1}{2} * \frac{1}{4}[/tex]
=> [tex]\frac{1}{8}[/tex] Pound for each person
=> Each person gets 1/8 pound
Fit for Family offers a membership fee of $450 for the year or the option to pay $41 per month. How much more do you save each month by choosing the annual membership fee?
Answer:
$42
Step-by-step explanation:
The yearly membership is $450.
The monthly membership is $41. This means that in a year, the membership fee will be:
41 * 12 = $492
We have to subtract the yearly fee from this.
That means that if you choose the yearly membership over the monthly membership, you'll save:
492 - 459 = $42
Answer:
The correct answer is $42.
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 9.1 hours.
Answer:
The probability is 0.0069
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD/√(n)
where x = 9.1 , mean = 8.4 , SD = 1.8 and n = 40
Plugging these values into the z-score equation, we have;
z-score = (9.1-8.4)/1.8/√(40) = 0.7/1.8/6.325 = 0.0615
Now, we check the standard normal table for P(z > 2.46) = 0.0069
Factor completely.
3x^2 −147=
Answer:
[tex]3(x - 7)(x+7)[/tex]
Step-by-step explanation:
To factor this, you must first take out the GCF (Greatest Common Factor), that [tex]3x^2[/tex] and -147 both have. The terms only have 3 in common, which can be divided with
[tex]3x^2 - 147\\3(x^2 - 49)[/tex]
However, we're still not done since 49 is a perfect square and [tex](x^2 - 49)[/tex] can be split into 2, like so:
[tex]3(x - 7)(x+7)[/tex]
If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.
Which statement is true?
A. All squares are similar to each other.
B. All rectangles are similar to each other.
C. All squares are similar to each other, and all rectangles are similar to each other.
D. None of these statements are true.
Answer:
C
Step-by-step explanation:
this is quite confusing
pls help for brainliest answer
Answer:
A. x = 24
B. x = 20
Step-by-step explanation:
→A. Add 2 to both sides:
[tex]\frac{x}{3} -2=6[/tex]
[tex]\frac{x}{3} =8[/tex]
→The fraction [tex]\frac{x}{3}[/tex] is really just [tex]\frac{1}{3}x[/tex]:
→Multiply 3 to both sides:
x = 24
→B. Subtract 1 from both sides:
[tex]\frac{x}{5} +1=5[/tex]
[tex]\frac{x}{5} =4[/tex]
The fraction [tex]\frac{x}5}[/tex] is really just [tex]\frac{1}{5}x[/tex]:
→Multiply 5 to both sides:
x = 20
Item 36 Solve for x. x ÷ 9 = 8 x = 72 x = 17 x = 1.11 x = 1
Answer:
x=72
Step-by-step explanation:
[tex]x\div 9=8[/tex]
Multiply both sides by 9 to isolate x:
[tex]x=8\cdot 9=72[/tex]
Hope this helps!
Erik decides to save money to buy a new computer. He starts with $100. He then adds a
constant amount each week.
● After 2 weeks, he has $140
● After 4 weeks, he has $180
Write an equation to represent the linear relationship between his total savings, S, in dollars, and the
number of weeks since he started saving, n. (Hint: use the equation Y 2 − Y 1 )
Answer:
You Can Open up this link to find your answer!!
Step-by-step explanation:
What is the solution to the equation 3(2×+5)=3×+4×?
Answer: i think it is 11x+7x
Step-by-step explanation:
a) (x + y, x - y) = (4, 2)
please answer this question. Pleaseeee
Answer:
here is the answer
Step-by-step explanation:
(x + y, x - y)= (4,2)
therefore, x + y= 4 and x - y = 2
equating
x +y =4
x= 4-y
substituting
x - y= 2
(4-y)-y=2
4-2y=2
4-2=2y
2=2y
2/2=y
1=y
therefore,
x + y=4
x + 1=4
x= 4 - 1
x=3
verifying
3 + 1=4
4=4
3 - 1=2
2=2
One equation of a pair of dependent linear equations is -5x+7y=2.Write the second equation.
Answer:
Step-by-step explanation:
Any multiple of the given equation is also a dependent linear equation
From the equation
-5x+7y=2
Multiplying all through by any number, say 2
2(-5x)+2(7y)=2(2)
-10x+14y=4 is a dependent linear equation for -5x+7y=2
If you don't fancy using a multiple, you can write the gradient equation y=mx+c
-5x+7y=2
7y=5x+2
Dividing all through by 7 gives the equation as
y=5x/7 + 2/7
What is the slope-intercept equation of the line that passes through (0, 2) and (6, 6)?
Answer:
The equation in Slope-intercept form:
[tex]y = \frac{2}{3}x + 2[/tex]
Step-by-step explanation:
-Find the slope first, by using the slope formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2},y_{2})[/tex] is the second point).
-Use two given points from the following problem for the slope formula:
[tex]m = \frac{6-2}{6-0}[/tex]
-Then, solve the equation:
[tex]m = \frac{6-2}{6-0}[/tex]
[tex]m = \frac{2}{3}[/tex]
After you have the found the slope, use both the slope [tex]\frac{2}{3}[/tex] and the first point [tex](0,2)[/tex] for the Point-slope formula:
[tex]y - y_{1} = m (x-x_{1})[/tex]
(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point).
-The equation in Point-slope form:
[tex]y - 2 = \frac{2}{3} (x-0)[/tex]
Then, you solve:
[tex]y - 2 = \frac{2}{3} (x-0)[/tex]
[tex]y - 2 + 2= \frac{2}{3} (x-0) + 2[/tex]
[tex]y = \frac{2}{3}x + 2[/tex]
-So, the equation in Slope-intercept form would be:
[tex]y = \frac{2}{3}x + 2[/tex]
The equation of the line is y = 2x/3 + 2 if the line that passes through (0, 2) and (6, 6).
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (0, 2) and (6, 6)
The slope-intercept form of the equation:
Slope of the line = (6-2)/(6-0)
The slope of the line = 2/3
The equation of the line:
y = 2x/3 + 2
Thus, the equation of the line is y = 2x/3 + 2 if the line passes through (0, 2) and (6, 6).
Learn more about the linear equation here:
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1. What is the slope of a line parallel to the line whose equation is y = 2/5x - 3?
what is 12 times 1-10
The answer is 2.
Please see the attached picture
Hope it helps
Good luck on your assignment
Find the slope of the line going through points (0, —20) and (20, —20)
Answer:
hope this helps you
is this gonna help!!!!!!!!!!!1!!
Please help me with this problem :)
Answer:
9/25
Step-by-step explanation:
36/100 = 9/25
a number x decreased by 3 is 5.
Answer:
8
Step-by-step explanation:
X=8 bc 8-3=5
8.
Hope spent a total of $131 on seven throw pillows. Fancy throw pillows
cost $28 and plain throw pillows cost $15.
Use substitution to solve the linear system of equations and
determine how many fancy pillows, x, and plain pillows, y she bought.
Write the solution to the system as an ordered pair (x,y).
Answer:
(2, 5)
Step-by-step explanation:
Let the number of fancy throw pillows be x.
Let the number of plain throw pillows be y.
Hope spent a total of $131 on 7 throw pillows.
Fancy throw pillows cost $28 and plain throw pillows cost $15.
These imply two things:
x + y = 7 _______ (1)
28x + 15y = 131 ___(2)
We have a linear system of equations.
From (1):
x = 7 - y
Substitute the value of f into (2):
28(7 - y) + 15y = 131
196 - 28y + 15y = 131
196 - 13y = 131
=> 13y = 196 - 131
13y = 65
y = 65 / 13
y = 5
This means that:
x = 7 - 5 = 2
Hope bought 2 fancy throw pillows and 5 plain throw pillows
What is the value of x
Answer:
84
Step-by-step explanation:
since the triangle has parallel lines running through the angles equal the same for the triangle so finding x was just 180 - y+z =x
The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 62 × 13 = 806 26 × 31 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true?
Answer and Step-by-step explanation:
The computation is shown below:
As we assume a and b are together and c and d are together
So, the equation would be
[tex]= ab \times cd[/tex]
[tex]= (10a + b) \times (10c + d)[/tex]
= 100ac + 10(ad + bc) + bd
Now another equation i s
[tex]= ba \times cd[/tex]
[tex]= (10b + a) \times (10d + c)[/tex]
= 100bd + 10(ad + bc) + ac
Now take both equations together
So,
100ac + 10(ad + bc) + bd = 100bd + 10(ad + bc) + ac
99ac = 99bd
ac = bd
Now Like here a = 2 b = 10 and c = 5 d = 1
So,
ac = bd = 10
So we can take an example like this
So, by considering the
[tex]62 \times 13 = 806[/tex]
And,
[tex]26 \times 31 = 806[/tex]
We can the same amount
So in the given question, the choices are not there so we can calculate by the above method
Larinda cooked a 4-kilogram roast. The roast left over after the meal weighed 3 kilograms. How many grams of roast were eaten during that meal?
Answer:
1 kilogram was eaten
Step-by-step explanation:
Answer:
1 kilogram was eaten during that meal.
What is the slope-intercept equation for the line below?
Answer:
y = 2/5x+2
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (4-2)/(5-0)
=2/5
The y intercept is 2
The slope intercept form is y = mx+b
where m is the slope and b is the y intercept
y = 2/5x+2
Answer:
y = mx + c
1) find the gradient, m
[tex]m = \frac{4 - 2}{5 - 0} [/tex]
[tex]m = \frac{2}{5} [/tex]
2) find value of y-intercept, c
from the graph, c = 2
2) use the formula y=mx+c
y = mx + c
y = 2/5x + 2
the answer is A
A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $1100 and the cost for 150 students will be $1550. Find the caterer’s fixed cost and the cost per student served. Use a system of equations and solve using elimination or substitution.
Answer:
$10 to $11
Step-by-step explanation:
$1100÷100=$11
$1550÷150=$10.3333333333
here is a list of numbers 7 12 16 20 27 40 56 64
work out the difference between two square numbers in the list
work out the difference between the two cube numbers in the list
Answer: 48 and 37
Step-by-step explanation:
Difference between two square numbers
= 64 ([tex]8^{2}[/tex]) - 16 ( [tex]4^{2}[/tex])
= 48
Difference between two cube numbers
= 64 ([tex]4^{3}[/tex]) - 27([tex]3^{3}[/tex])
= 37
Mark me as the brainiest answer
A farmer buys a tractor for $10,000. If the tractor depreciates 10% per year, write an exponential decay function to fin the value of the tractor in 7 years.
Answer:
F = P(1 - x)^n
F = 10,000(1 - 0.1)^7
F = 10,000(0.9)^7
F = $4,783
The value of the tractor in 7 years is $4,783
Step-by-step explanation:
Applying the exponential depreciation equation;
F = P(1 - x)^n
Where;
F = final value after n years
P = initial value
x = depreciation rate (fraction)
n = time
Given;
P = $10,000
x = 10% = 0.10
n = 7 years
Substituting the given values;
F = 10,000(1 - 0.1)^7
F = 10,000(0.9)^7
F = 4782.969
F = $4,783
The value of the tractor in 7 years is $4,783
divide
(9x^3 +24x^2+18x+20) ÷ (3x+6)
Quotient=3x^2+2x+2
Remainder=8
please see the attached picture for full solution
hope it helps
Good luck on your assignment
I solved in the picture
Hope this helps ^-^
The equation a = a equals StartFraction 180 left-parenthesis n minus 2 right-parenthesis Over n EndFraction. represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?
Answer:
The numerator of the fraction is -360
Step-by-step explanation:
a=180(n-2)/n
Solve for n
a=180(n-2)/n
Open parenthesis
a=180n-360/n
Cross product
an=180n-360
Collect like terms
an-180n=-360
Factorise
n(a-180)=-360
Make n the subject of the formula
n=-360/(a-180)
The numerator of the fraction is -360
The denominator is (a-180)
Answer:
-360
Step-by-step explanation:
I need help with this math problem.
Answer:
x = 2 , y = 4
Step-by-step explanation:
If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.
From the parallelogram we see:
2x = y
y = 2x
Substitute y = 2x in 2(y) - 2 = 6, gives:
2(2x) - 2 = 6
4x = 6 +2
x =2
Substitute x = 2 in y = 2x, gives:
y = 2(2)
y = 4
So x = 2 , y = 4
Select the correct answer.
which function's domain consists of all real numbers except -2?
Answer:
A
Step-by-step explanation:
For functions with x in the denominator we want to make sure the denominator isn't 0. If x can't be -2 then the answer is A because x = -2 results in f(x) = 1/0 which is undefined.
identify a pair of perpendicular lines in the given figure. HELPPP I NEED TO PASS!
Answer:
Line S and Line Q
Step-by-step explanation: Line S and Q would form a pair of perpendicular lines because perpendicular lines form a 90 degree angle.
A pair of perpendicular lines in the given figure are line q and line s.
What is a perpendicular line?Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
Given:
There are 4 lines in the diagram.
To find the pair of perpendicular lines:
Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
And line q is perpendicular to line s.
Therefore, line q is perpendicular to line s.
To learn more about the perpendicular lines;
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