Answer:
x = -11
Step-by-step explanation:
3(1 - 3x) = 2(-4x + 7)
Distribute the 3.
(3 - 9x) = 2(-4x + 7)
Distribute the 2.
3 - 9x = -8x + 14
Add 8x to both sides.
3 - x = 14
Subtract 3 from both sides.
-x = 11
Multiply by -1.
x = -11.
Proof:
3(1 - 3x) = 2(-4x + 7)
3(1 - 3(-11)) = 2(-4(-11) + 7)
3(1 + 33) = 2(44 + 7)
3(34) = 2(51)
102 = 102
pls help, 20 points!
Answer:
13
Step-by-step explanation:
7x -4 = 87
7x = 87+4 = 91
x = 91/7 = 13
If the selling price of a home is $506,000 with a 15% down payment, what is the amount of the down payment?
PLEASE HELP QUICK!!!
please help solve this its for geometry
Answer:
Step-by-step explanation:
1.RS+ST=RT. so 9y+2+2y+7=15y-11
2.11y+9=15y-11
3.15y-11y=11+9
4.4y=20
finally we find the answer is y=5
I’ll mark u as brainliest plz answer this !!!
Answer:
the answer is 20. 50% of 20 is 10 so if 10 preferred the one juice then there's 20 people total
Answer:20
Step-by-step explanation:
If x=all beings on Vreet
0.5x=10
x=10/0.5
x=20
Write the expression using a single exponent.
7^5 • 7^6
A. 49^30
B. 7^30
C. 49^11
D. 7^11
Answer:
D
Step-by-step explanation:
keep the base and add the exponents
the equation t= 12q + 12 gives the total cost t if a meal with a too of p percent the independent variable is ?
the dependent variable is ?
Tammy already has $565 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account. Let w represent the number of weeks.
Answer:
Since she already has $565, her goal is $665.
5 × 20 = 100
w = 20 weeks
Sal brought 2 dozen apples to a science club meeting. He divided the apples equally among the 8 people there. How many apples did he give each person?
Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.
How do you explain division?The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.
The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."
The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.
2 dozen apples equals 24, and 24 divided by 8 is 3.
Therefore, the answer is 3.
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What is the numerical coefficient of the term − 6xy?
The numerical coefficient of xy in the given expression 6xy is 6.
In mathematical terms, a coefficient is a numerical value that is multiplied by a variable in an algebraic expression. The coefficient is the number that appears in front of the variable.
For example, in the expression 3x, the coefficient is 3. In the expression 2[tex]y^2[/tex], the coefficient is 2. In the expression -5[tex]z^3[/tex], the coefficient is -5.
In the case of a constant term in an expression, the coefficient is the constant term itself.
For example, in the expression 3x + 4, the coefficient of x is 3 and the coefficient of the constant term 4 is 4.
Here, in the expression 6xy, the numerical coefficient of xy is 6.
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Explain if this student has made a mistake. Explain what the mistake was and how you would fix it. include the right answer
Answer:
Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]
How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]
[tex] x = \frac{1}{2} [/tex] (correct answer)
Step-by-step explanation:
The student solved the problem correctly up to the second step where 6 was added to both sides of the equation.
The mistake he made was in his division.
Thus, instead of dividing both sides by 8, he divided both sides by 4, which is incorrect.
Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]
How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]
[tex] x = \frac{1}{2} [/tex] (correct answer)
Answer:
SEE IMAGE FOR SOLUTION
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For each equation determine whether it has no solutions, exactly one solution, or is true
for all values of x (and has infinitely many solutions). If an equation has one solution, solve
to find the value of x that makes the statement true.
a. 6r+8 = 7x + 13
b6r + 8 = 2(3x + 4)
c. 6r+8 = 6r+ 13
For the given equations , the solutions are as follows :
(a) the equation [tex]6x + 8 = 7x + 13[/tex] has exactly one solution , and the solution is .
(b) the equation [tex]6x + 8 = 2(3x + 4)[/tex] has Infinitely Many Solutions .
(c) the equation [tex]6x + 8 = 6x + 13[/tex] has No Solution .
Equation (a) ;
the equation is given as [tex]6x + 8 = 7x + 13[/tex] , we solve the equation further ,
we get ;
[tex]7x - 6x = 13 - 8[/tex] ;
[tex]x = 5[/tex] ;
So , the equation has exactly one solution and the solution is [tex]x = 5[/tex] .
Equation (b) ;
the equation is given as [tex]6x + 8 = 2(3x + 4)[/tex] , we solve equation further ,
we get ;
[tex]6x + 8 = 6x + 8[/tex] ;
On solving further ,
we have ;
[tex]8 = 8[/tex] ;
So , the equation has infinitely many solutions .
Equation (c) ;
the equation is given as [tex]6x + 8 = 6x + 13[/tex] , we solve equation further ,
we get ;
[tex]8 = 13[/tex] ;
and we know that [tex]8\neq 3[/tex] ,
So , the equation have No Solution .
The given question is incomplete , the complete question is
For each equation determine whether it has no solutions, exactly one solution, or is true . for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.
(a) 6x + 8 = 7x + 13
(b) 6x + 8 = 2(3x + 4)
(c) 6x + 8 = 6x + 13
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The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
The area of a right-angled triangle is represented by the expression
x(x + 2) = 24 having area 24 square feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the area of a right-angled triangle is (1/2)×base×height.
Given, The area of a triangle is 24 square feet whose height is 2 more than it's base.
Let, The base of the triangle be 'x', Therefore the measure of the height is (x + 2).
Therefore, The area of the triangle is,
(1/2)×x(x + 2) = 24.
x(x + 2) = 24.
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find the value of x on both problems please help this is urgent and please show work
Answer:
Step-by-step explanation:
1) the triangle is right, so we can use the Pythagorean theorem
x^2 + 24^2 = (16+x)^2
x^2 + 576 = x^2 + 256 + 32x
32x = 320
x = 10
2) the two segment are congruent, so
7x - 13 = 9x - 23
2x = 10
x = 5
Evaluate each numerical expression
7x(12+8)-6
Answer:
134
Step-by-step explanation:
If this is right can I get brainliest?
Answer:
140x − 6
Step-by-step explanation:
add the numbers
7x(12+8)-6
7x(20)-6
multiply the numbers
7x times 20-6
=140x-6
What is the value of 2 by 7 and 3 by 7?
the value of 2 by 7 and 3 by 7 is: 5/7. This can be solved using the concept of fraction of addition.
What is the fraction?A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.
Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.
the value of 2 by 7 and 3 by 7 is:
= (2/7) + (3/7)
= 5/7
When adding the fractions 2/7 and 3/7 we get 5/7, as the denominator is same.
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This is a special right triangles multi-step problem. Please explain how to do this and the steps to how you got that answer please!
Answer:
This is an example of a combined 45 45 90 triangle and a 60 30 90 triangle. I have put the pictures showing the side lengths.
Step-by-step explanation:
On the 30 60 90, the hypotenuse is 6.
6 = 2x
x = 3
therefore, the two legs of the triangle are measured as 3 and 3[tex]\sqrt3}[/tex]
Now that we have 3[tex]\sqrt3}[/tex] as one of the legs for the other triangle, using the picture of the 45 45 90 triangle, the hypotenuse must be x[tex]\sqrt{2}[/tex].
Since x = 3[tex]\sqrt3x}[/tex], x[tex]\sqrt{2}[/tex] is 3[tex]\sqrt3}[/tex] x
Therefore x=3[tex]\sqrt{6}[/tex]
If this helps you mark me brainliest pls
As the ball rolls downhill, its kinetic energy ___________
Maximum
Minimum
Answer:
Maximum
Step-by-step explanation:
Answer:
Maximum
Step-by-step explanation:
What is the result when the number 80 is decreased by 50%?
E) how to find the first 4 terms in the expantion of ( 1 + 2x ) to power 6 ?
the first 4 term is (1+2x)^6
The sum of three numbers is 108. The first number is 7 more than the second. The third number is 3 times the first. What are the numbers?
First number:
Second number:
Third number
Answer:
23,16, and 69
Step-by-step explanation:
(x+7) +x +[3(x+7)]=108
(x+7) + x + (3x+21)=108
5x +28=108
5x=80
x=16
1st number 16+7=23
2nd number 16
3rd number 69
150 adults complete a survey.
80 are women.
Write the ratio
men women
in its simplest form.
Answer:
The number of men to number of women be 7 : 8 .
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Which of the following postulates or properties of spherical geometry are true?
A) The sum of the measures of a triangle is 180.
B) No two lines are parallel.
C) Through any two points there is exactly one line.
D) Two lines intersect in exactly one point.
Answer:A
Step-by-step explanation:
Taliban
Please enter the missing number: 3, 5, 18, 72, ?
A. 144
B. 214
C. 272
D. 360
E. 432
Please explain precisely
Step-by-step explanation:
18 and 5 are both missing if that's what you mean
Answer:
D. 360
Step-by-step explanation: It's being multiplied by plus one more every time you move on to a new term.
So 2*3=6, 6*3=18, 18*4=72, 72*5=360
Seaside Bike Shop rents bikes for $10 plus 54 per hour. Jack paid $30 to rent a bike. Which equation, when solved for x, gives the
number of hours he rented the bike?
Which fraction is equivalent to - 3/2?
3/-2
-(3/-2)
-3/-2
-(-3/2)
Answer: -(-3/2 is equivalent also
Step-by-step explanation:
The reason why is because you take it out of the parentheses you will still have a negative fraction
Which inequality is true?
1.-1.5>-0.5
2.-1/2>0
3.-2.5<-2
4.-1 1/2>1.5
Answer:
option
3 is the correct answer
Solve the following equations for ×. Check for extraneous solutions.
The solution for given question of algebra are 10, -42, -38 for question 1st, 2nd and 3rd.
Which four types of algebra are there?There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.
For question 1x + 6/x + 3 = 4/7
7x + 42 = 4x + 12
7x - 4x = 42-12
3x = 30
x = 10
For question 22/x+8 = 3/x+9
2x - 18 = 3x + 24
x = -42
For question 3x+2/6 = x-4/7
7x+14 = 6x-24
x = -38
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`y=7/(1,000)-(9x)/8` is this proportional or nonproportional
Can u please help...............
A graph of ΔABC with vertices A(0, 0), B (3, 3), and C (4, 0) and its image after a 90° rotation about the origin is shown in the image attached below.
What is a rotation?In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices of triangle ABC (∆ABC), the coordinates of the vertices of the image (∆A′B′C′) are as follows:
(x, y) → (-y, x)
Ordered pair A = (0, 0) → Ordered pair A' = (0, 0)
Ordered pair B = (3, 3) → Ordered pair B' = (-3, 3)
Ordered pair C = (4, 0) → Ordered pair C' = (0, 4)
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