Answer:
The computer system would be $332.85 less than the normal price, or $618.15 total.
Complete the equation of the line whose slope is -2−2minus, 2 and y-intercept is (0,3)
Answer:
[tex]y=-2x+3[/tex]
Step-by-step explanation:
Given the slope of line [tex]m[/tex] is [tex]-2[/tex].
And y-intercept is [tex](0,3)[/tex]
We can write the equation of line by using the slope-intercept form.
The slope-intercept from is
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope of line. And [tex]b[/tex] is the y-intercept.
In our problem y-intercept is given as [tex]b=3[/tex].
Plugging these we get,
[tex]y=-2x+3[/tex]
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
In a wildlife park there are 20 gray wolves after a few years they were 38 Greywolf what is the percent increase
The percent increase is 0.53%
The percentage increase in the number of Greywolf is 90% and this can be determined by using the unitary method.
Given :
There are previously 20 Greywolf in a wildlife park.After a few years, the total number of Greywolf is 38.The following steps can be used in order to determine the percentage increase in the number of Greywolf:
Step 1 - The unitary method can be used in order to determine the percentage increase in the number of Greywolf.
Step 2 - According to the given data, there are previously 20 Greywolf in a wildlife park which is 100%.
Step 3 - So, let the percentage of 38 Greywolf be 'x'. So, the value of 'x' can be calculated as:
[tex]x = \dfrac{38}{20}\times 100[/tex]
[tex]x = 190\%[/tex]
Step 4 - So, the percentage increase in the number of Greywolf is:
[tex]{\rm Percentage \; Increase} = 190-100[/tex]
[tex]{\rm Percentage \; Increase} = 90\%[/tex]
The percentage increase in the number of Greywolf is 90%.
For more information, refer to the link given below:
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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.
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)
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
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.
What is 1.3333333333 equal to in fractions
Answer: 1 1/3
Step-by-step explanation: 0.33 repeating and in general is equal to 1/3
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 _______ .
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
three and two sevenths plus eight and one third
Maricel is programming an archery component of a new video game. In her code, she has created an "auto aim" feature that helps players more easily hit their intended targets. The code works such that if the player is aimed at AAA but instead should be aimed at target TTT, the game will automatically adjust the angle at which the arrow is fired directly at TTT. If AAA and TTT are 151515 meters apart in the example below, how many degrees will Maricel's code adjust the shot? Do not round during your calculations. Round your final answer to the nearest degree.
Maricel's code will adjust the shot by 12º
Answer:
The correct angle will be 12.5 degrees.
A gift basket that contains jars of jam and packages of bread mix costs $45. There are 8 items in the basket. Jars of jam cost $6 each, and packages of bread mix cost $5 each. Write and solve a system of linear equations to find the number of jars of jam and the number of packages of bread mix in the gift basket.
5 jars of jam and 3 packages of bread mix are in gift basket
Solution:
Let "x" be the number of jars of jam
Let "y" the number of packages of bread mix
Cost of 1 jars of jam = $ 6
Cost of 1 package of bead mix = $ 5
There are 8 items in the basket
Therefore,
number of jars of jam + number of packages of bread mix = 8
x + y = 8 ---------- eqn 1
A gift basket that contains jars of jam and packages of bread mix costs $45
Therefore, we frame a equation as:
number of jars of jam x Cost of 1 jars of jam + number of packages of bread mix x Cost of 1 package of bead mix = 45
[tex]x \times 6 + y \times 5 = 45[/tex]
6x + 5y = 45 --------- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
x = 8 - y --------- eqn 3
Substitute eqn 3 in eqn 2
6(8 - y) + 5y = 45
48 - 6y + 5y = 45
y = 48 - 45
y = 3Substitute y = 3 in eqn 3
x = 8 - 3
x = 5Thus 5 jars of jam and 3 packages of bread mix are in gift basket
$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.
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.
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!
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
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
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:
What fraction is larger 1 1/6 or 1 4/12
Answer:
1 4/12
Step-by-step explanation: What you need to do first is make them improper fractions with the same denominator.
1 1/6 = 7/6 1 4/12 = 16/12. Now you can make them have the same denominator. 7/6 = 14/12 and 16/12. So 1 and 4/12 is bigger.
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
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).
The area of a circle is 28.26 square meters. What is the circle's diameter?
Answer: area for circle is πr² so πr² =28.26 and we can sub 3.14 as pi
3.14*r²=28.26 we can divide by 3.14 to get r² on it's own
r²=28.26/3.14
then we root both sides to get r on it's own
28.26/3.14=9 √9=3
and the diameter is double the radius 3*2=6 so the diameter is 6
Step-by-step explanation:
1: In Rectangle ABCD, AC is 5x - 12, and BD is 2x + 15. Find x.
Answer:
X=9
Step-by-step explanation:
In the picture above.
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.
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.
Learn more about Slope-Intercept Form here:
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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
I NEED SMART STUDENT TO HELP ME PLEASE...ILL GIVE POINTS
Answer:
I believe 27%
Step-by-step explanation:
Total juniors = 8
Total students = 30
So 8 out of 30 as a percentage = 26.67
Hope this helps! :)
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?
The width of rectangle is [tex]2\frac{1}{4}[/tex] cm and length is [tex]5\frac{5}{12}[/tex] cm.
Step-by-step explanation:
Let,
Width of rectangle = w
Length of rectangle = [tex]w+3\frac{1}{6}=w+\frac{19}{6}[/tex]
Perimeter of rectangle = [tex]15\frac{1}{3}=\frac{46}{3}[/tex] cm
Perimeter = 2(Length + Width)
[tex]\frac{46}{3}=2(w+\frac{19}{6}+w)\\\\\frac{46}{3}=2(2w+\frac{19}{6})\\\\\frac{46}{3}=4w+\frac{19}{3}\\\\4w+\frac{19}{3}=\frac{46}{3}\\\\4w=\frac{46}{3}-\frac{19}{3}\\\\\ 4w=\frac{46-19}{3}\\\\4w=\frac{27}{3}\\\\4w=9[/tex]
Dividing both sides by 4
[tex]\frac{4w}{4}=\frac{9}{4}\\\\w=\frac{9}{4}[/tex]
Width of rectangle = [tex]\frac{9}{4}=2\frac{1}{4}\ cm[/tex]
[tex]Length = w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}\\\\Length = \frac{27+38}{12}=\frac{65}{12}\\\\Length=5\frac{5}{12}\ cm[/tex]
The width of rectangle is [tex]2\frac{1}{4}[/tex] cm and length is [tex]5\frac{5}{12}[/tex] cm.
Keywords: rectangle, perimeter
Learn more about perimeter at:
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Final answer:
The width of the rectangle is 9.92 cm (approx.) and the length is 13.09 cm, calculated using the given perimeter and the relationship between the width and length, both rounded to three significant figures.
Explanation:
The question asks to find the width and length of a rectangle given that the length is 3 1/6 cm longer than the width and the perimeter is 15 1/3 cm. To solve this, first express the perimeter as an equation involving width (w) and length (l):
Perimeter (P) = 2l + 2w
Since the length is 3 1/6 cm longer than the width, we can express the length as:
l = w + 3 1/6
Substitute the value of l in the perimeter equation:
15 1/3 = 2(w + 3 1/6) + 2w
Convert mixed numbers into improper fractions for easier computation:
46/3 = 2(w + 19/6) + 2w
Expand and solve for w:
46/3 = (4w + 19/3)
3(46) = 4w(3) + 19
138 = 12w + 19
119 = 12w
w = 119/12
w = 9.916666...
To match our significant figures requirement, we report the width of the rectangle as 9.92 cm to three significant figures. Now calculate the length:
l = w + 3 1/6
l = 9.92 + 3.1666...
l = 13.0866...
Again, matching our significant figures requirement, the length is reported as 13.09 cm to three significant figures.
what is (1/2x-5)^2 simplified?
[tex]\frac{x^2}{4}-\frac{10x}{2}+25[/tex]
Solution:
Given expression is [tex](\frac{1}{2}x-5)^2[/tex].
Simplify the expression using algebraic formula [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](\frac{1}{2}x-5)^2=(\frac{x}{2}-5)^2[/tex]
[tex]=(\frac{x}{2})^2-2(\frac{x}{2})5+5^2[/tex]
[tex]=\frac{x^2}{4}-10(\frac{x}{2})+25[/tex]
[tex]=\frac{x^2}{4}-\frac{10x}{2}+25[/tex]
[tex](\frac{1}{2}x-5)^2=\frac{x^2}{4}-\frac{10x}{2}+25[/tex].
Hence, the simplified form of [tex](\frac{1}{2}x-5)^2[/tex] is [tex]\frac{x^2}{4}-\frac{10x}{2}+25[/tex].