x = 6, you can substitute/plug in 6 for x in the expression since x equals 6
4x + 6 Plug in 6 for x
4(6) + 6
24 + 6
30
What is 6x-6y=-24
Y=3x+14
Answer: x=13
Step-by-step explanation:
Replace u wit y = 3x+14
6x-6(3x+14)=-24
6x-18-84 = -24
6x-102=-24
Add -102 on both sides
6x=78
Divide 6 on both side and have your answer
Answer:
Step-by-step explanation:
I've already answered this question.
Which choice correctly compares the two decimal numbers to hundredths?
A) 73.28 > 74.22
B) 73.47 > 73.52
C) 73.51 < 73.19
D) 74.73 < 74.86
Solve the following systems of equations express your answer as an ordered pair in the format (a,b) With no spaces between the numbers or symbols
2x+7y=-7
-4x-3y=19
Answer: 5/11,5
Step-by-step explanation:
Multiply equation one by -4
Multiply equation two by 2
Then, it becomes
-8x - 28y = 28
-8x - 6y = 38
Subtract equation two from equation one .
It becomes -22y = -10
Divide both sides by 22, you have y= 5/11
NOW substitute y=5/11 into equation two to get X.
-4x -3(5/11) =19
-4x = 19 + 15/11
-4x = 20
Divide both sides by -4
X = -5
To solve the system of equations, the elimination method was used, resulting in the solution of the equations as an ordered pair (-6 16/77, 5/11).
To solve the system of equations 2x + 7y = -7 and -4x - 3y = 19, one can use the elimination method. This involves manipulating the two equations to eliminate one of the variables, allowing the other variable to be found. We can multiply the first equation by 2 to align the coefficients of the 'x' terms and then add the equations to cancel out the 'x' terms.
Multiply the first equation by 2: 4x + 14y = -14.
Add this to the second equation: (4x + 14y) + (-4x - 3y) = -14 + 19.
This simplifies to 11y = 5, and solving for 'y' gives y = 5/11.
Substitute 'y' back into the first original equation: 2x + 7(5/11) = -7.
Solve for 'x', which gives x = -6 16/77.
So, the solution to the system of equations, expressed as an ordered pair, is (-6 16/77, 5/11).
3/7 of a number is 69.What is the number?
Answer:
Step-by-step explanation:
Let the number be x
3/7 of x = 69
3x/7 = 69
Cross multiply
3x = 69×7
3x = 483
x = 483/3
x = 161
Write an equation in slope-intercept form for the line that passes through the points (6,-3) and
(0, 2).
Answer:
y = - [tex]\frac{5}{6}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (0, 2)
m = [tex]\frac{2+3}{0-6}[/tex]= [tex]\frac{5}{-6}[/tex] = - [tex]\frac{5}{6}[/tex], thus
y = - [tex]\frac{5}{6}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 3), then
- 3 = - 5 + c ⇒ c = - 3 + 5 = 2
y = - [tex]\frac{5}{6}[/tex] x + 2 ← equation of line
The equation of the line in slope-intercept form that passes through the points (6,-3) and (0, 2) is y = -5/6x + 2, where -5/6 is the slope and 2 is the y-intercept.
Explanation:To write an equation in slope-intercept form (y = mx + b) of the line that passes through two points (6,-3) and (0, 2), first, we need to calculate the slope (m).
The formula to calculate the slope is (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we get the slope as (2 - (-3)) / (0 - 6) = 5 / -6 = -5/6.
Next, substitute one of the points and the slope into the equation to find the y-intercept (b). If we use (0, 2), we get 2 = -5/6 * 0 + b, hence, b=2.
Therefore, the equation of the line in slope-intercept form that passes through these points is y = -5/6x + 2.
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the health food store wishes to blend peanuts that cost $1.20/ib with raisins that cost $2.10/ib to make 50 pounds of a mixture that cost $1.47/ib how many pounds of peanuts and of raisins are needed
To solve the mixture problem, we set up an equation based on the total weight and another based on the total cost, then solve the system of equations algebraically to find out how many pounds of peanuts and raisins are needed.
Explanation:The question involves creating a cost-based blend of two items, peanuts and raisins, to produce a mixture with a target cost per pound. This is a typical algebraic mixture problem, commonly encountered in high school math. To solve this problem, we want to find out how many pounds of peanuts and raisins are needed to make a 50-pound mixture that costs $1.47 per pound when peanuts cost $1.20 per pound and raisins cost $2.10 per pound.
Let's denote the weight of peanuts as P pounds and the weight of raisins as R pounds. The total weight of the mixture is given as 50 pounds, which gives us the equation:
P + R = 50
Next, we need to consider the total cost of the mixture. The cost of the peanuts is P times $1.20, and the cost of the raisins is R times $2.10. Since the mixture should have an overall cost of $1.47 per pound, our cost equation becomes:
1.20P + 2.10R = 1.47 × 50
From our first equation, we can express R as 50 - P, and substitute it into our second equation to find the value of P. After solving these linear equations, we will obtain the exact quantities of peanuts and raisins required to make the desire mixture.
Is the relation given by the set of ordered pairs below a function? (Yes or No)
(3,-7), (2,4), (-3,-7), (3,0), (0,2)
Answer:
No
Step-by-step explanation:
The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular X value. The Y value of a point where a vertical line intersects a graph represents an output for that input X value. If we can draw any vertical line (left to right) that intersects a graph more than once, then the graph does not define a function because that X value has more than one output. A function has only one output (X) value for each input value.
EXAMPLES:
(3,-7), (2,4), (-3,-7), (3,0), (0,2)
The first numberin each set is th X value or output.
The 3 has two Y values, -7 and 0, it can only have one Y value.
Only one X can have a one Y vale to make it a function.
The relation given by the set (3,-7), (2,4), (-3,-7), (3,0), (0,2) is not a function, since the x-value 3 corresponds to two different y-values (-7 and 0).
Explanation:In mathematics, a relation is a set of ordered pairs. For that set to be a function, each input (x-value) should correspond to only one output (y-value). That means no two ordered pairs should have the same x-value but different y-values.
Looking at your given set (3,-7), (2,4), (-3,-7), (3,0), (0,2), we can see that the x-value 3 corresponds to two y-values: -7 and 0. Therefore, this relation is NOT a function.
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Solve for B:
A=1/2b*h
Answer:
see attached picture please
Use counting rules to find the following probabilities.
A full house (in poker) consists of three of one kind of card and two of another kind of
card. Find the probability of a full house consisting of three kings and two queens.
Answer:
0.00144
Step-by-step explanation:
(13/1)(4/3)(12/1)(4/2)/(52/5)=(13)(4)(12)(6)/2598960=3744/2598960≈0.00144
Subtract
(4x²+6) - (2x - 5)
O A. 4x2 - 2x+11
O B. 2+1
O C. 4x2 - 2x+1
O D. 2x + 11
SUBMIT
Answer:
A. 4x² - 2x + 11
Step-by-step explanation:
(4x² + 6) - (2x - 5) =
Drop the first set of parentheses since it is unnecessary.
= 4x² + 6 - (2x - 5)
To drop the second set of parentheses, you must change every sign inside the parentheses.
= 4x² + 6 - 2x + 5
Now combine like terms.
= 4x² - 2x + 11
A series of light brown lines drawn at intervals of 50 feet to designate their respective heights aboveboard sea level are called
Answer:
Contour lines. Hope this helps!
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The coefficient of xy in the product of (4x2 + 2y) and (3x + y2) is _______ .
Solve 11 kx + 13kx = 6 for x.
Answer:
Step-by-step explanation:
11kx + 13kx = 6.......for x
24kx = 6.....divide both sides by 24k
x = 6 / (24k)
x = 1/4k OR k/4
the Rodriguez family need to drive 250 miles to visit their cousins. if they have already driven 113.8 miles how much farther do they need to drive?
Answer: 136.2 miles
250-113.8=136.2
Answer:
136.2
Step-by-step explanation:
250-113.8=136.2
What is the solution to 4log4(x+8)=4^2
Answer:2492
Step-by-step explanation:
4Log4(x+8)=4^2
Divide both sides by 4 we get
Log4(x+8)=4^2/4
Log4(x+8)=4
4(x+8)=10^4
4(x+8)=10000
Open brackets
4x+32=10000
Subtract 32 from both sides
4x+32-32=10000-32
4x=9968
Divide both sides by 4
4x/4=9968/4
X=2492
0.4x3.2
Step by step
Answer:
Step-by-step explanation:
0.4 × 3.2
Convert to fraction
0.4 = 4/10 = 2/5 & 3.2 = 32/10 = 16/5
0.4 × 3.2 = 2/5 × 16/5 = 32/25 = 1.28
Without conversion you press ur calculator and you get 1.28
Oliver drives 45 miles per hour.Write an expression that represents the distance in miles he will travel for h hours driven.
Answer:
45h=d
Step-by-step explanation:
If d represents the distance in miles, then the equation would be 45h=d because when you multiply 45 by the amount of hours h, then you would get the total distance in miles. For example, Oliver drives 45 miles per hour for 3 hours. When we substitute h, the number of hours, for 3, then we get:
45(3)=d
And all we need to do is to multiply them together to get d, which in this case, it is 135 miles.
$250 at 6% for 4 years find the interest
Answer:
I=60
Step-by-step explanation:
So
P=$250
R=6%
T=4
So to get the answer we would need to multiply everything to get the interest so the answer would be 60 because 250 times 6% equals to 15 then we would multiply 15 by 4 and then get out answer of $60 interest.
What is 7/9 minus 1/3
Answer:
4/9 or 0.444...
Step-by-step explanation:
[tex] \frac{7}{9} - \frac{1 \times 3}{3 \times 3} [/tex]
[tex] \frac{7}{9} - \frac{3}{9} [/tex]
[tex] \frac{4}{9} [/tex]
Answer: 4/9
Step-by-step explanation: Since our denominators in this problem are 9 and 3, and 9 factors as 3 x 3, they have a common factor of 3 so we find their least common denominator by multiplying the 3 that comes from the 3's that match up times the 3 that doesn't match up so we have 3 x 3 or 9.
In order to get a common denominator of 9 for both our fractions, we multiply top and bottom of the the second fraction by 3 and we have 7/9 - 3/9 which simplifies to 4/9. So 7/9 - 1/3 is 4/9.
I have also attached my work in the image provided.
A car is priced at $12,000. The monthly payment is 3% of the price. How much is the monthly payment?
Answer: $ 360
Step-by-step explanation:
since the monthly payment is 3% of the price , this means that the monthly payment is 3% of 12000
= 0.03 x 12000
= $ 360
A line passes through the point (10,-1) and has a slope of 3/2. Write an equation in point-slope form for this line.
Answer:
work is shown and pictured
F(x)=3x-1 and g(x)=x+2 find (f+g)(x)
In this question, you're solving by adding the two expressions together.
(f+g)(x) is the same as:
3x - 1 + x + 2
Solve:
3x - 1 + x + 2
combine like terms:
4x - 1 + 2
4x + 1
Answer:
4x + 1
three and two sevenths plus eight and one third
What is the slope of a line perpendicular to the line with equation y = 3x – 1? –3 –1 3
[tex]m=-\frac{1}{3}[/tex] is the slope of a perpendicular line.
Step-by-step explanation:
For two lines to be perpendicular to each other, their slope must be mutually negative reciprocal (to check if the numbers are multiplied, they should be -1).
Given equation:
y = 3 x – 1
We know the standard slope equation, as y = m x + b. When comparing this with the given equation, we get slope value,
m = 3
But in question, they asked to find slope of a line perpendicular to the line. So, apply this ‘the perpendicular slope will be the opposite (negative) reciprocal of the original slope’
Therefore, the slope of a perpendicular line is
[tex]m=-\frac{1}{3}[/tex]
An electronics store usually sells computers priced at $1500 each. If the customer orders the computer over the Internet, he has to pay only $1200 for the computer. If p represents the percent decrease in price of the computer, which proportion can be used to calculate p?
Answer:
B is the answer
What are accepted without proofs in a logical system
Postulates, Axioms, and Common Notions are accepted without proofs in a logical system.
Explanation:
Postulates or axioms are those statements which are considered to be true and these serve as a starting point or a premise for further arguments or reasoning purposes.
Common notions which are sometimes referred to as axioms represents the magnitudes of one kind.
In mathematics, axioms are classified into two types namely,
1. Logical axioms: Used in two distinguishable but relatable senses.
2. Non-logical axioms: Substantive assertions based on the elements of any theory.
Which equation is true?
-
A. (6 + 2) + 7 = 6 + (2 + 7)
B. (6 - 2) - 7 = 6 - (2 - 7)
C. (6 - 2) + 7 = 6 - (2 + 7)
D. (6 = 2) = 7 = 6 - 12 = 7)
Answer:
(6 + 2) + 7 = 6 + (2 + 7)
Explanation:
(6 + 2) + 7
6 + 2 = 8
8 + 7 = 15
6 + (2 + 7)
2 + 7 = 9
9 + 6 = 15
15 = 15
You will be adding 6, 2 and 7 no matter what. The parenthesis do not make a difference. 6 + 2 + 7 is the same thing as 6 + 2 + 7. 15 = 15.
Answer:
A.
Step-by-step explanation:
A. 15 = 15 (true)
B. -3 = 11 (false)
C. 11 = -3 (false)
Frank is going to plant y vegetable seeds in one garden and 4y+9 vegetable seeds in another. How many seeds is frank going to plant
Frank will plant a total of 5y + 9 vegetable seeds across his two gardens.
Frank has two gardens where he plans to plant vegetable seeds. In one garden, he will plant y vegetable seeds. In the other garden, he will plant 4y+9 seeds. To find the total number of seeds Frank is going to plant, we need to add together the number of seeds for each garden.
The total number of seeds is:
Total seeds = y + (4y + 9)
Combine like terms:
Total seeds = y + 4y + 9
Total seeds = 5y + 9
Thus, Frank will plant a total of 5y + 9 vegetable seeds across both gardens.
6. A shoe store sells boots,
sandals, and
sneakers. About how
many more
sneakers did the store sell
than sandals
and boots combined?
Items Sold
Boots
5,362
Sandals
7,741
Sneakers
22,179
Answer:
9076
Step-by-step explanation:
How do you Simplify :(2p^-3)^5
Answer:
The final simplification is (32p^-15).
Step-by-step explanation:
Given:
(2p^-3)^5 we have to simplify.
Property to be used:(Power rule)
Power rule states that: [tex](a^x)^y=a^x^y[/tex] ...the exponents were multiplied.
Using power rule.
We have,
⇒[tex](2p^-3)^5[/tex]
⇒[tex](2^5)(p^-3^*5)[/tex] ...taking exponents individually.
⇒[tex]32(p^-^1^5)[/tex] ...[tex]2^5=2*2*2*2*2=32[/tex]
⇒[tex]32p^-^1^5[/tex]
So our final values are 32p^-15