Answer:
x=1/15 y = -4 1/3
Step-by-step explanation:
First combine like terms.
-3y = 13
y= -13/3
y= -4 1/3
Substitute for y in next equation
-4 1/3 = 5x - 4
5x = 4 1/3 - 4
5x = 4 1/3 - 4
5x = 1/3
x = 1/3 divided by 5
Since fractions can't be divided, multiply by the inverse
x = 1/3 times 1/5 = 1/15
The perimeter of a triangle is 59 cm. The first side is 7 cm shorter than the second side. The third side is 4 cm less than twice the length of the first side. Find length of each side
Given:
The perimeter of a triangle is 59 cm.
The first side is 7 cm shorter than the second side.
The third side is 4 cm less than twice the length of the first side.
To find:
The length of each side.
Solution:
Let x be the second side.
Then, according to the question,
First side = x-7
Third side = 2(x-7)-4
Perimeter of a triangle is the sum of all of its sides.
[tex](x-7)+x+(2(x-7)-4)=59[/tex]
[tex]x-7+x+2x-14-4=59[/tex]
[tex]4x-25=59[/tex]
Add 25 on both sides.
[tex]4x=59+25[/tex]
[tex]4x=84[/tex]
Divide both sides by 4.
[tex]x=21[/tex]
Now,
First sides =21 - 7=14 cm
Second side = 21 cm
Third side = 2(14)-4 = 24 cm
Therefore, the three sides of triangle are 14 cm, 21 cm and 24 cm respectively.
Can someone please tell me if the following relations are functions please?
If solving a system of linear equations by elimination or substitution I get that 2=3, it means (check all that apply)
If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutions
If the system of equations is 3 linear equations in 3 variables, there is infinity number of solutions
If the system of equations is 2 linear equations in 2 variables, the system has no solutions
If the system of equations is 3 linear equations in 3 variables, the system has no solutions
Answer:
If I get 2=3 in solving the system, it means the following:
If the system of equations is 2 linear equations in 2 variables, the system has no solutions If the system of equations is 3 linear equations in 3 variables, the system has no solutionsStep-by-step explanation:
The solution of linear system of equations implies that a point has to be found that holds true on all equations involved.
The system may consist of two equations involving two unknowns or may consist of three equation with three unknowns.
When a system of equation has no solution, the variables are removed in solving the equations and we get an equation or values in the form.
constant = constant
So,
If I get 2=3 in solving the system, it means the following:
If the system of equations is 2 linear equations in 2 variables, the system has no solutions If the system of equations is 3 linear equations in 3 variables, the system has no solutionsWhat is the quotient of -3/8 And -1/3?
Answer:
Actually, I didn't get your question, is it -3/8÷ -1/3 or -1/3÷ -3/8?
If it is -3/8÷ -1/3, the answer will be 9/8
But if is -1/3÷ -3/8, the answer will be 8/9
Step-by-step explanation:
-3/8÷ -1/3
= -3/8× 3/-1
= -9/-8
= 9/8
If your question is -1/3÷ -3/8, the answer is 8/9 in the same way.
A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost of the item, in dollars and cents, after tax?
Answer: d + 0.055d or 1.055d
Step-by-step explanation:
Cost of item = d
Sales tax percent = 5.5%
Total cost = Cost of item + Sales tax
= d + (5.5% × d)
= d + (5.5/100 × d)
= d + (0.055 × d)
= d + 0.055d
= 1.055d
Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:
d + 0.055d or 1.055d.
A doctor sees 6 patients in 11⁄2 hours. How many patients does the doctor see per hour?
Answer:
1.0909090909
Step-by-step explanation:
6÷5.5 is 1.0909090909
round to 1 ig
Answer:
4 patients per hour.
Step-by-step explanation:
1 1/2 hour = 90 minutes
90min/6p= 15min per patient
60min/15min= 4
2 pts
Question 3
Select all parts from the expression above that represents a constant term.
-4.9
-4.9t?
1.8
22
22t
Which ones are constant terms pls help
One root of f(x)=x^3-9x^2+26x-24 is x = 2. What are all the roots of the function? Use the Remainder Theorem.
Answer:
The roots of the of the function are 2,3 and 4.
Step-by-step explanation:
The given function is
f(x) = x³ - 9x² + 26x - 24
It is given that x=2 is a root of the function. So (x-2) is a factor of f(x).
According to the remainder theorem if a function is divided by (x-c), then the remainder is equal to f(c). If f(c) is equal to 0, therefore c is the root of the function.
Use synthetic method to divide f(x) by (x-2).
f(x) = (x - 2) (x² - 7x + 12)
f(x)= (x - 2) (x² - 4x - 3x + 12)
f(x)= (x - 2) (x(x - 4) - 3(x - 4))
f(x)= (x - 2) (x - 4) (x - 3)
To find the roots equation the function equate the function equal to 0.
0 = (x - 2) (x - 4) (x - 3)
Equate each factor equal to 0.
x = 2,3,4
Therefore the roots of the function are 2,3 and 4.
(btw this is someone else's answer i found since i got a little confused myself heh)
Answer:
The roots of the of the function are 2,3 and 4.
Step-by-step explanation:
\The roots of the of the function are 2,3 and 4.
how do I work this out, I've tried
[tex] \frac{6}{4} = \frac{k \times - 4}{ - 4} [/tex]
and that gave me
[tex] \frac{1}{ - 1.5} x[/tex]
Answer:
The required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]
Step-by-step explanation:
We are given that value of x and y vary directly so , if two values vary directly we can write
y∝x
y=kx
Now, we are given x=-4 and y=6 and we have to fill in the blank. We actually have to find value of k i.e y=____x . Yhe blanks must be filled by value of k because y=kx
Using values of x and y i.e x=-4 and y=6 to find value of k
[tex]y=kx\\6=k(-4)\\Divide \ both \ sides \ with \ -4\\\frac{6}{-4}= \frac{k(-4)}{-4} \\k=\frac{-3}{2}[/tex]
The value of k is [tex]\mathbf{\frac{-3}{2}}[/tex]
So, the required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]
please answer this and don't do it for the points
Circle A has a diameter of approximately 20 inches and an area of 314 in2 (approximately 300 in2) Circle B has a diameter of approximately 60 inches and an area of 2826 in2 (approximately 2700 in2) Circle C has a diameter of approximately 40 inches. Find the area of Circle C and explain or show your reasoning.
Answer:
1256.8in^2Step-by-step explanation:
Step one:
Given data
Circle A
diamteter= 20 in
Area= 314 in^2 approx. 300in^2
Circle B
diamteter= 60 in
Area= 2826in^2 approx. 2700in^2
Step two:
Circle C
diamteter= 40 in
radius= 20 in
The expression for A is given as
A=πr^2
A=3.142*20^2
A=3.142*400
A=1256.8
The area of circle C is 1256.8in^2
An elementary school has 1,134 seeds. The seeds will be planted in 27 rows.
Each row will have the same number of seeds. How many seeds will be planted
in each row?
Answer:
42 seeds
Step-by-step explanation:
You would first divide 1,134 seeds by 27 rows. You would get 42 seeds per row, and that would be your answer.
Write the sentence as an inequality.
A number x is greater than 3
The inequality is
Answer:
X > 3
Step-by-step explanation:
The sentence as an inequality will be x > 3.
It is given that a number x is greater than 3.
We have to represent the sentence as an inequality.
What do you mean by inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
As per the question ;
A number x is greater than 3.
So ,
Number is x.
and
It is greater than 3
i.e.,
we need to use a sign of greater than to represent the inequality i.e., > sign.
So ,
The sentence as an inequality can be written as ;
x > 3.
Thus , the sentence as an inequality will be x > 3.
To learn more about inequalities click here ;
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6. Frank's Fish Washing Service charges a base fee to wash your fish plus a charge per
minute. The table shows the total cost, c, and the number minutes it took to wash
the fish, m. Which equation represents this situation?
o
y = 3x + 8
of Minutes, m
8
10
12
14
Total Cost (S),
30
36
42
48
y = -x + 8
3
O
y = 3x + 6
O
y =
1
-x+6
Answer:
C
Step-by-step explanation:
Samir is getting balloons for his mother's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Samir wants to get 59 balloons, how many yards of string will he need?
Answer:
177 yards
Step-by-step explanation:
3 feet - 1 yard, so we have 3 yards for each balloon.
He wants 59 balloons, so 59 x 3 = 177
Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.
p= __
5.4p +13.1 = −2.6p+3.5 .
5.4p + 2.6p = 3.5 -13.1
8.0p = -9.6
p = -9.6 / 8
p = -1.2
Idk what to put here :(
Answer: I can barley see that
Step-by-step explanation:
Answer:
give me brainliest plssss i need it
Step-by-step explanation:
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
Answer:
C. c = 64
Step-by-step explanation:
The question is incomplete. Here is the complete question.
What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81
Given the function;
[tex]\sqrt[3]{\dfrac{x^3}{cy^4} } = \dfrac{x}{4y\sqrt[3]{y} }[/tex]
We are to find the value of c from the expression.
Step 1: Take the cube of both sides;
[tex](\sqrt[3]{\dfrac{x^3}{cy^4} } )^3= (\dfrac{x}{4y\sqrt[3]{y} })^3\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{(4y)^3(\sqrt[3]{y} )^3}\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{(64y^3)(y)}\\\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^4}\\[/tex]
Step 2: compare the denominator of both sides of the equation;
[tex]\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^4}\\\\On \ comparing;\\\\cy^4 = 64y^4\\[/tex]
Step 3: Divide both sides by y₄
[tex]\dfrac{cy^4}{y^4} = \dfrac{64y^4}{y^4}\\c = 64\\[/tex]
Hence the value of c is 64. Option C is correct
Answer:
C is the anwser
Step-by-step explanation:
my bf told me to pick c, so therfore it is the right anwser. lol no but fr i did get it right on edge
Find the 12th term of the geometric ouence 5, 15, 45,...
Answer:
295,245
Step-by-step explanation:
It is always multiplying by 3.
5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245
Answer:
885735
Step-by-step explanation:
Please help !!
What is the general equation to the √x?
Select the correct answer.
Which pair of statements correctly compares the two data sets?
А.The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
B.The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
Answer: B?
Step-by-step explanation:
Answer:
Go for B
Step-by-step explanation:
is 2.6666666667 a rational number
Answer:
No.
Step-by-step explanation:
I believe that the number above is irrational, because it repeats.
If you are doing a gift exchange, and everyone has to spend at least 10 dollars but less than 20 dollars, what inequality represents the situation
Answer:
10≥x<20
Step-by-step explanation:
Aden spent $10 on a mug and then sold it, making 20% profit, how much did he sell the mug for
Answer: $2
Step-by-step explanation: 20 percent of 10 is 2
Hope I did this right
The selling cost of the mug is the amount of $12.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.
We have been given that Aden spent $10 on a mug and then sold it, making a 20% profit.
The original cost of the mug is $10.
The selling cost of the mug = original cost + 20% of the original cost
The selling cost of the mug = $10 + 20% of $10
The selling cost of the mug = 10 + (20/100)10
The selling cost of the mug = 10 + 0.20 × 10
The selling cost of the mug = 10 + 2
The selling cost of the mug = $12
Therefore, the selling cost of the mug is the amount of $12.
Learn more about the percentages here:
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#8 linear inequality in two variables is shown below. -4y <-12. Which
graph would represent the solution set of linear inequality? (SOLVE FOR
Y!)
Can someone help explain it!!!
Answer:
J
Step-by-step explanation:
Step 1: solve for y
Step 2: graph y, use dashed line
Step 3: Shade in solutions, here y>3 so everything bigger then 3 is a solution.
What is the value of x?
X=
Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf 13x-12=7x-6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 13x-7x=-6+12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 6x=6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6}{6}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]
Slope review
PROBLEM : What is the slope of the line whose equation has the following solutions? Give an exact number.
Solution: x = -2.5 y= 0.5
Solution: x=2 y = 2
The slope is:
To find slope, we must use the slope formula*.
[tex]m = \frac{2 - 0.5}{2 - (-2.5)} = \frac{1.5}{4.5}[/tex]
The slope is 1.5/4.5.
simplify the square root of 4x^6
Answer:
2x^3
Solution
You simplify to the lowest value possible 4x^6
2x^3
Give 3 examples of integers which are greater than −2
Answer: -1 would be greater than negative two, along with 20, 1000.
-2 is a negative number, so any number that is -1 or higher is greater than -2
Answer:
1,2,3
Step-by-step explanation:
what is the GCF of 12 and 24