Answer:
x = 3
Step-by-step explanation:
6x - 7y = 4
We are given that y = 2
6x - 7(2) = 4
6x - 14 = 4
Add 14 on both sides to leave the 6x alone
6x = 18
Divide by 6 to isolate x and find the value of x
x = 3
We can further prove this by putting in the value of x
6(3) - 7(2) = 4
18 - 14 = 4
Which is correct
Answer:
3
Step-by-step explanation:
Katrice wrote the numbers 137 and 174. Which sentence is true about the digit 7 in each number?
The 7 in 137 represents ten times the 7 in 174.
The 7 in 174 represents ten times the 7 in 137.
The 7 in 137 represents one hundred times the 7 in 174.
The 7 in 174 represents one hundred times the 7 in 137.
Answer:
The 7 in 137 represents ten times the 7 in 137 (the second option)
Step-by-step explanation:
The seven in 137 equals 7
The seven in 174 equals 70
7 times 10 = 70
I hope this helped!
4x−7y=48? i need the fraction
Answer: y = -48/7 + 4x/7
If a jacket cost $74.95 and you had a coupon for 30% off, how much would the jacket cost you? (round to the nearest hundredth)
Answer value
Answer:
30% of 74.95 = .3 * 74.95 = 22.48
Net Cost = 74.95 - 22 48 = 52.47
2. Theorem 2-10 states that through a point not on a line, there
is one and only one line parallel to the given line. How does this
justify the construction of the line through C that is parallel to
the line AB?
When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.
When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.
The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.
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Dakota earned $12.50 in interest in Account A and $11.25 in interest in Account B after 15 months.
If the simple interest rate is 4% for Account A and 3% for Account B, which account has the greater
principal? Explain.
Answer:
You haven't explained the time for account A - we will assume 12 months or the answer is obvious:
for Acct(A) : I = 12.5 = A1 * .04 A1 = $312.50
for Acct(B) I = 11.25 = A2 * .03 * 5/4 = 300
Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.
11.25 = .0375 * A2 A2 = 300
Account A will have the greater principal
Helpppppppppp please
Answer:
20 million
Step-by-step explanation:
Answer:
C twenty million
Step-by-step explanation:
Round the 2 populations to the nearest million.
The population of California is about 38 million.
The population of Texas is about 20 million.
The difference is 18 million.
The closest choice is 20 million.
Answer: C twenty million
The first three terms of an arithmetic sequence are as follows.
52, 44, 36
Find the next two terms of this sequence.
Answer: 8
Step-by-step explanation:
f(x)={x+4….
for f(x)
Answer:
x+4 x<5
8 5<_x<7
2x -1 7<_x<_10
3y + 2 = 4x , x+ 5y = 3 what is the solution to the system of equations shown above? (in fraction form)
Answer:
19/23, 50/23
Step-by-step explanation:
We can take the first equation and isolate the x:
x + 5y = 3 ⇒ -5y ⇒
x = 3 - 5y.
Then we can substitute the x in the first equation by this:
3y + 2 = 4(3-5y) ⇒
3y + 2 = 12 - 20y ⇒ +20y
23y + 2 = 12 ⇒ -2
23y = 10 ⇒ ÷23
y = [tex]\frac{10}{23}[/tex]
Then we can add the value of y into the equation equaling x we made:
x = 3 - 5([tex]\frac{10}{23}[/tex]) ⇒
x = 3 - [tex]\frac{50}{23}[/tex] ⇒
x = [tex]\frac{19}{23}[/tex]
Hope this helps! :)
solve, (you can use long division if needed) <3
Answer:
4.9 inches
Step-by-step explanation:
78.4 diveded by 4
19.6 divided by 4
=4.9
Ahhhhhh please help me!!
Answer: chrome
Step-by-step explanation:
new tab then search it up
PLZ HELP ASAP! I'LL GIVE BRAINLIEST AND POINTS JUST HELP PLZ
plz no links
Divide these numbers in scientific notation.
(9.6*10^-8) divided by (3*10^-7)
Answer:
3.2 *10^-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}[/tex]
Write the equation of the line in Slope-Intercept Form given the information below. Slope =4 Point =(1,−1) slope-intercept form
Answer:
y = 4x + -1/1
-1/1 as a fraction. Down by 1 and right by 1
The equation of line in slope intercept form which is passing through
(1, -1) is y = 4x -5.
What is the slope of line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
What is the equation of line in slope intercept form?The equation of line in slope intercept form is given by y = mx + c.
According to the given question.
We have
The solpe of the line, m = 4
Also, the point through which the line is passing, [tex](x_{1} , y_{1}) = (1, -1)[/tex]
Since, we know that the equation of line in slope intercept form of the line is given by
y = mx +c
Since, the above line is passing through (1, -1) and the slope is 4.
Therefore,
-1 = 4(1) + c
⇒ -1 = 4 + c
⇒ -1 -4 = c
⇒ c = -5
Substitute the value of m and c in the equation y = mx + c.
⇒ y = mx + c
⇒ y = 4x -5
Therefore, the equation of line in slope intercept form which is passing through (1, -1) is y = 4x -5.
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helppppp plzzzz is fue today
Answer:
0
Step-by-step explanation:
There is no gradient there.
PLEASE HELP 7th GRADE MATH ASAP!
I dont know what the constant of proportionality is, so HELP
Answer:
a. 28.7 miles
b. 40 miles
Step-by-step explanation:
See attachment.
Convert minutes to hours and divide that into 1 1/2 miles to get a speed of 40 miles/hr (mph). Multiply 40 mph by each of the two times (converted to hours) to find the miles travelled for the two times.
a. 28.7 miles
b. 40 miles
Please help please please
Answer: Profit
Step-by-step explanation:
1. She made profit
2. She got 300 more than what she bought it for.
3. Her percentage was I think 25% more ( i am not sure on this one)
Class:
ons
Notes/Examples
Parts of an Isosceles Triangle:
• The angle where the legs intersect is called the
• The side opposite the vertex angle is called the
• The angles along the base are called
Answer:
Vertex angle.Base.Base angles.Step-by-step explanation:
Using the Base Angles Theorem to define the terms relating to an isoceles triangle:
The Base Angles Theorem states that if the two sides of a triangle are congruent, then it means that the angles opposite to those sides are also congruent.An isoceles triangle has two congruent sides, referred to as the legs. As the legs of a triangle are slanted, they will intersect at a point known as the vertex angle. The side that is opposite to the vertex angle is the base of the triangle.
Therefore, the following are the missing terms in the given problem:
The angle where the legs intersect is called the vertex angle.The side opposite the vertex angle is called the base.The angles along the base are called base angles.PLEASE PLEASE AND ANWER FAST PLEASE!
Answer:
Option A. The student incorrectly used < instead of > for the second inequality. The correct inequality is >.
Step-by-step explanation:
Defintions:Boundary lines that are often used in systems of linear inequalities determine the location of the solutions region in a coordinate plane.
Solid boundary lines are used for the equal sign, "=," and the inequality symbols "≥" and "≤." This implies that the points along the line (endpoints) are included as solutions to the given system. Dashed boundary lines are used for inequality symbols, ">" and "<." Using the dashed lines as the boundary implies that the points along the line (endpoints) are not included as solutions to the given system. Solution:Given the systems of linear inequalities: y ≤ 0.5x + 1 and y = -2x + 1:
In order to determine what is the appropriate inequality symbols for both equations, we must first set the second equation with an equal sign. Then, choose a test point (not in either lines) to determine which half-plane region must be shaded.
Test point: (0, 0)
Substitute the test point into both equations to determine whether it satisfies the given equation:
y ≤ 0.5x + 10 ≤ 0.5(0) + 1
0 ≤ 0 + 1
0 ≤ 1 (True statement).
y = -2x + 20 = -2(0) + 2
0 = 0 + 2
0 = 2 (False statement). Therefore, the half-plane region that doesn't contain the test point must be shaded. Hence, we must use the ">" symbol for this equation, as we're shading "above" where the values for y is greater than the y-intercept, (0, 2).
Therefore, the correct answer is Option A: The student incorrectly used < instead of > for the second inequality. The correct inequality is > (greater than symbol).
what is 5x5? please help
Answer:
25
Step-by-step explanation:
That's a simple question.
Step-by-step explanation:
Just do it like 5 plus 5 (five times)
5+5+5+5+5=25
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS ANSWER
Answer:
4
Step-by-step explanation:
I think if not sorry
(2^4x+4)÷(2^x+1)
60 POINTS
BRANLIEST IF RIGHT
Answer:
[tex]\frac{2^4^x + 4}{2^x + 1}[/tex]
The file includes the input of your equation, comment if the equation you input is a mistake.
Answer:
2 ^ 3(x+1)
Step-by-step explanation:
Assuming 2^(4x+4) / 2 ^(x+1)
when bases are equal and exponents are in division it becomes subtraction
=> 2 ^ (4x + 4 - (x + 1) )
=> 2 ^ (4x + 4 -x - 1)
=> 2 ^ (3x + 3)
=> 2 ^ 3(x+1)
=> [tex]2^{3(x+1)}[/tex]
2. The perimeter of a rectangle is 56m. The length is two less than four times the width. Find the length.
Answer:
Length=22 cm
Step-by-step explanation:
Perimeter=56 cm
let width=x
According to given condition:
length=4x-2 ...........(A)
Perimeter=2(length+width)
Substitute the values in above formula:
56cm=2(4x-2+x)
56cm=2(5x-2)
56cm=10x-4
(56+4)=10x
60 cm=10x
x=60cm/10
x=6cm
For the value of length :
Substitute the value of x in equation (A):
Length=4x-2
Length=4(6)-2 cm
Length=24-2 cm
Length=22 cm
If you have any confusion in this question, please let me know.
RE
Which graph represents the function f(x) = -X2 + 5?
N
10-
8-
6
2
o
-10 -56-4
ca
M
4
6
8
10
X
do ou
Answer:
I can't interpret the data the way it is presented. Are there two columns? I'll assume "-x2" is really "-x^2."
I've attached a plot of the function. Check to see which of your points fall on the line.
Step-by-step explanation:
y = -x^2 + 5
Which quadrilateral has the highest order of rotational symmetry?
Answer:
it should be C
Step-by-step explanation:
hope this is helpful
Each side of an equilateral triangle has length x+3 and each side of a square has length 4x-2. Write an expression for the sum of their perimeters.
Please help me!!
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
Squares have 4 equal sides. Equilateral triangles have 3 equal sides.
Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
how to evaluate 3-(-10)
Answer:it's 13
please let me know if this is wrong
Answer:
Answer:
i am uncertain by the question
Step-by-step explanation:
10-3=7
10/3=3.333...
Answer:
the answer is "what are you doing step
bro"
PLEASE HELP ME!!
Find the domain, in interval notation too.
I sadly do not have an answer to this problem but, have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)
Step-by-step explanation:
Example (graph found below):
The domain of a function f(x) is the set of values of x for which f(x) has a defined value.
In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.
The slant asymptote does not affect the domain, but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.
Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.
Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).
Answer: the domain is all the real numbers different from 0.
NOTE:
If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.
In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.
Answer:
[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]
Step-by-step explanation:
This function is rational function that's meaning that is of the form:
[tex]\frac{1}{x}[/tex]
So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).
In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.
10. The perimeter of a rectangular field is 100 ft and its width is 20 ft. Find
the length and the area of this rectangular field.
Answer:
Length is 30ft, area is 600ft squared
Step-by-step explanation:
What is the height of the flagpole?
Use the remainder theorem to find P(-3) for P(x) = 2x² + 4x²+4.
Specifically, give the quotient and the remainder for the associated division and the value of P(-3).
Quotient= ?
Remainder= ?
P(-3) = ?
Answer:
P ( 3 ) = 16
the remainder is
P ( a )