Which statements about the system are true? Select two options.y= 1/3x-4 3y-x= -7 The system has one solution. U The system consists of parallel lines, Both lines have the same slope. Both lines have the same y-intercept. The equations represent the same line.
Answer:
The system consists
Step-by-step explanation:
A square on a coordinate plane has one vortex at (-0.5, -2) and a perimeter of 10 units. If all the vertices are located in quadrant III, what are the coordinates of the other three vertices
Answer:
Step-by-step explanation:
each side of square=10/4=2.5
because all the vertices are in quarter |||
so all the coordinates are negative.
x coordinate=-0.5-2.5=-3
y coordinate=-2-2.5=-4.5
all the coordinates are (-3,-2) ,(-0.5,-2)
and (-3,-4.5),(-0.5,-4.5)
Darryl intended to save $150 a month for the next 18 months to purchase a boat. However, after 10 months he has only managed to save $1,200. How much will Darryl need to save now in order to accomplish his original goal?
Answer:
150x8=1,200 so that much more
Step-by-step explanation:
Darryl will need to save an additional $187.50 per month for the next 8 months in order to accomplish his original goal of saving $150 per month for 18 months.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a quantity.
Expressions can be simple or complex, and they can be used to perform mathematical operations, make comparisons, or evaluate functions.
An expression can contain any combination of numbers, variables, and operators, such as addition, subtraction, multiplication, division, and exponentiation.
For example, 3 + 5, 2x - 7, and (4a + 2b) / (3c - d) are all examples of expressions.
We have,
Darryl intended to save $150 a month for 18 months, which would have given him a total savings of:
$150/month x 18 months
= $2,700
However, after 10 months, he has only managed to save $1,200.
This means he fell short of his goal by:
$2,700 - $1,200
= $1,500
To accomplish his original goal, he will need to save an additional $1,500. Since he has 8 months left to save, he will need to save:
$1,500 / 8 months
= $187.50 per month
Therefore,
Darryl will need to save an additional $187.50 per month for the next 8 months in order to accomplish his original goal of saving $150 per month for 18 months.
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Please help.. I don't understand
Step-by-step explanation:
a || b means that a is parallel with b.
a ≅ b means a is congruent with b. that mags that if you orient a and b alike and then put them on top of each other, there is nothing that stands out. they perfectly cover each other.
for angles alone this simply means they have the same size.
A true.
when a line (like in this case r) intersects parallel lines (like in this case p and q), then the angles at the intersections must be the same for p and q.
after all, parallel means that both lines emulate each other's behavior exactly - except for the physical location itself.
B in general is not true. it would only be true, if also r || s.
C true. for the same reasons as A.
D true. for the same reasons as A.
A STORY OF UNITS
Lesson 16 Homework Helper 4.1
Name
Lesson 16 Homework 4.1
•Said
Sanchez
1. Zachary's final project for a college course took a semester to write and had 95,234 words. Zachary wrote
35,295 words the first month and 19,240 words the second month.
Date
a. Round each value to the nearest ten thousand to estimate how many words Zachary wrote during the
remaining part of the semester.
In the remaining part of the semester, Zachery wrote an average of 10,000 words per month to complete his final project for the course.
We are given that Zachery has to write a total of 95,234 words.
Total words to be written = 95,234 words.
Words already written in the first month = 35,295 words.
Words already written in the second month = 19,240 words.
Words written in total = 35,295 words + 19,240 words.
= 54,535 words
Words left for writing = 95,234 words - 54,535 words
= 39,699 words
months left = 4
Average Words written in remaining month = 39,699 words / 4
= 9924.75 words.
= 10,000 words.
Therefore, in the remaining part of the semester, Zachery wrote an average of 10,000 words per month to complete his final project for the course.
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Select the correct answer from each drop-down menu. How many solutions does each polynomial have? Equation Number of Solutions y = - 6 x − 9 y = 2 x 5 − x 4 + 2 x 3 − 6 x 2 + 2 x + 4 y = - 4 x 3 − 10 x 2 + 7 x + 5
Answer:
1
5
3
in order
Step-by-step explanation:
First, note that the degree of a polynomial is the value of the highest exponent in the polynomial
There will be as many solutions as there are degrees
1. - 6x − 9y = 2 has degree 1 since x == x¹ so 1 solution
2. [tex]2x^5-x^4+2x^3-6x^2+2x\:+\:4=0[/tex] has degree 5 so 5 solutions
3. [tex]-4x^3 - 10x^2+7x+5[/tex] has degree 3 so 3 solutions
a
Convert 5.764764764 ... to a rational expression in the form of
b
where b = 0.
The correct answer will be option b
let x= 5.764764 (1)
multiply both the sides by 1000
1000x = 5764.764 (2)
now substract equation one from equation (2)
999x = 5764
x = 5764/999
In mathematics, a rational number is a number that can be expressed as the quotient or fraction
p
/
q
of two integers, a numerator p and a non-zero denominator q.[1] For example,
−3
/
7
is a rational number, as is every integer (e.g. 5 =
5
/
1
). The set of all rational numbers, also referred to as "the rationals",[2]
A rational number is a real number. The real numbers that are rational are those whose decimal expansion either terminates after a finite number of digits (example:
3
/
4
= 0.75), or eventually begins to repeat the same finite sequence of digits over and over (example:
9
/
44
= 0.20454545...).[6] This statement is true not only in base 10, but also in every other integer base, such as the binary and hexadecimal ones
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A'BC' is a dilation of ABC.
If the center of dilation was (0,0), what was the scale factor used to create the dilation?
I’m literally sobbing- I have no clue what this question means
Answer:4
Step-by-step explanation:
dilation
In a plane, a transformation in which each point on the image lies on the same line as the corresponding point on the preimage and a fixed point called the center of dilation; the ratio between the distance from the center of dilation to a point on the image and the distance from the center of dilation to the corresponding point on the preimage remains constant.
Sally had 256 dollars to spend on 7 books. After
buying them she had 11 dollars. How much did each book cost ?
in a class 60% of the total number of student are boys and there are 14 girls how many students are there in class
Answer:
14 girls divided by their percentage 0.4 the result will be
35 students
Two whole numbers have their first common multiple as 6,what is their 4th and 8th common multiple
Answer:
24, 48
Step-by-step explanation:
The 4th common multiple is 6(4)=24.
The 8th common multiple is 6(8)=48.
Harriet wants to buy items worth $248.50. She is using a store coupon for 25 percent off her purchases. She has to pay 5 percent sales tax. Calculate the total cost of the items
Answer:$195.70
Step-by-step explanation:
Starting price is : $248.50
Price with 25% off :
$248.50 x ( 1 - 0.25 ) = $248.50 x 0.75 = $186.375
After that she has to pay 5 % sales tax:
$186.375 x 1.05 = $195.70
Answer:
The total cost of the items is $195.70.
The shelf life of a battery produced by one major company is known to be normally distributed with a mean life of 3.5 years and a standard deviation of 0.75 years. What percent of batteries last between 1.25 and 5.75 years?
The percentage of batteries that last between 1.25 and 5.75 years will be 99.73%.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
One significant manufacturer's batteries are known to have a shelf life that is regularly distributed, with an average life of 3.5 years and a standard deviation of 0.75 years.
The value of the z-score will be
z = (1.25 - 3.5) / 0.75, (5.75 - 3.5) / 0.75
z = -3, 3
The percentage of batteries that last between 1.25 and 5.75 years will be
P(1.25 < x < 5.75) = P(- 3 < z < 3) x 100
P(1.25 < x < 5.75) = 0.9973 x 100
P(1.25 < x < 5.75) = 99.73%
The percentage of batteries that last between 1.25 and 5.75 years will be 99.73%.
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I need help with this
Simplification - The process of making something less complicated and therefore easier to do or understand, or the thing that results from this process .
What is the simplification rule?
The general rule to simplify expressions is PEMDAS - stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Replace Question mark .
1.) 1/2 = 1× x / 2 ×10
1/2 = x / 20
x = 20 / 2
x = 10.
2.) 3/4 = 3 x 5 / 4× x
3/4 = 15 / 4x
12x = 60
x = 60 / 12
x = 5
3.) 7/8 = 7× 3 / x × 3
7/8 = 21 / 3x
21x = 21 × 8
x = 8
4.) 2/3 = x×4 / 3 × 4
2/3 = 4x / 12
12x = 24
x =2 .
5.) 6/12 = (6/6) / (12/x)
1/2 = 1 / (12/x)
1/2 = x/12
2x = 12
x = 6.
6.) 3 / 15 = (3 /x) /(15 / 3)
3/15 = (3/x) / 5
3/15 = 3/5x
15x = 15× 3
x =3.
7.) 175/250 = (x/25) / (250/25)
taking LHS
175/250 = 7/ 10
Solve RHS
(x/25) / (250/25)
(x/25) / (10) = x/250
x/250 = 7/10
x = 175.
8.) 28 /56 = (28/28) / (x/28)
28/56 = 1/ (x/28)
28 / 56 = 28 /x
x =56 .
9.) 14/16 =(14/x) / (x/2)
14/16 = 14/x × 2/x
14 /16 = 28 /x²
1 /16 = 2/ x²
x² =32 .
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Which of these has the same value as 45/8? Which of these has the same value as 45/8?
6 5/8
8 5/8
5 5/8
7 5/8
Answer: 5 5/8
Step-by-step explanation:
6 5/8= 6*8= 48 48+5=53 53/8
8 5/8= 8*8=64 64+5=69 69/8
5 5/8= 5*8=40 40+5=45 45/8
7 5/8= 7*8=56 56+5=61 61/8
Consider a particular baseball player at bat. The height of the ball at time t can be modeled by h=-16t^2+v t+h. Here, v is the initial upward velocity of the ball, and h is the height at which the ball is hit. if a ball is 4 feet off the ground when it is hit with a negligible upward velocity close to 0 feet per second, when will the ball hit the ground?
Solve for [tex]t[/tex] when [tex]h=0[/tex], given [tex]v_0=0[/tex] and [tex]h_0 = 4[/tex].
[tex]0 = -16t^2 + 4 \implies 16t^2 = 4 \implies t^2 = \dfrac14 \implies t = \dfrac12[/tex]
so it will take half a second for the ball to hit the ground.
Which number line shows the correct way to find the sum p+q if p is positive and q is negative? a b c or d
Answer:
It would be A
Step-by-step explanation:
The correct way to find the sum p+q, where p is positive and q is negative, is to start from the point representing p on the number line and move to the left by the magnitude of q.
Let's place the positive number p on the number line, starting from the origin (0) and moving to the right by p units. Now, let's place the negative number q on the number line by moving q units to the left from the origin.
To find the sum p+q, we need to consider the relative positions of p and q. Since p is positive, we have moved to the right on the number line. However, since q is negative, it is also positioned to the left of the origin. To add p and q, we need to consider their magnitudes and the direction they point in.
The correct way to find the sum p+q is to start from the point representing p and then move to the left by the magnitude of q. This corresponds to moving p units to the right and then q units to the left. The endpoint of this combined movement represents the sum p+q on the number line.
Hence the correct option is (a).
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Suppose that you drink a 20 oz. bottle of Dr. Pepper with both lunch and dinner every day. If so, you’re adding 250 calories to each meal.
A. How many extra calories are you consuming per year compared to just drinking water, which has no calories?
B. A general rule of thumb is that an average-sized person expends about 100 calories for each mile walked. How many miles would you have to walk over the course of a year to burn off all the calories you’re getting from your daily Dr. Pepper?
The extra calories that you are consuming per year is 182,500 calories.
The number of miles that you should walk to burn the extra calories is 1,825 miles.
How many extra calories are you consuming?You are consuming 20 oz of Dr. Pepper each meal. You take Dr. Pepper twice in a day. To determine the total extra calories that is being consumed, multiply the calories consumed per month by the number of times in a day you consume Dr. Pepper and by the number of days in a week.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is ×.
Extra calories consumed in a year = calories per meal x 2 x number of days in a year
250 x 2 x 365 = 182,500 calories
In order to determine the number of miles you have to walk to lose the extra calories, divide the extra calories by the calories lost per mile
Number of miles to walk = 182,500 / 100 = 1825 miles
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Which of the graphs below shows correctly plotted points for the following line?
y=3−2x
Select the correct answer below:
Four plotted points on a coordinate plane.
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four labeled points are plotted at left-parenthesis negative 1 comma 1 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 1 comma 5 right-parenthesis, and left-parenthesis 2 comma 7 right-parenthesis.
Four plotted points on a coordinate plane.
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four points are plotted at left-parenthesis negative 1 comma 5 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma negative 1 right-parenthesis.
4 points are plotted
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four points are labeled at left-parenthesis negative 1 comma negative 5 right-parenthesis, left-parenthesis 0 comma negative 2 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 4 right-parenthesis.
Four plotted points on a coordinate plane.
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four points are plotted at left-parenthesis negative 1 comma 2 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 1 comma 4 right-parenthesis, and left-parenthesis 2 comma 5 right-parenthesis.
Four plotted points on a coordinate plane.
The graph that correctly plots the line y=3−2x is option B which is:
Four plotted points on a coordinate plane.
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four points are plotted at left-parenthesis negative 1 comma 5 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma negative 1 right-parenthesis.
How to find the plotted pointswe use the given equation to get the points by substituting the values of x given, to get the values of y as follows
y = 3 - 2x
for x = -1
y = 3 - 2 ( -1 )
y = 3 - ( -2 )
y = 3 + 2
y = 5
( -1, 5 )
y = 3 - 2x
for x = 0
y = 3 - 2 (0 )
y = 3 - 0
y = 3
( 0, 3 )
y = 3 - 2x
for x = 1
y = 3 - 2 ( 1 )
y = 3 - ( 2 )
y = 3 - 2
y = 1
( 1, 1 )
y = 3 - 2x
for x = 2
y = 3 - 2 ( 2 )
y = 3 - ( 4 )
y = 3 - 4
y = -1
( 2, -1 )
( -1, 5 ), ( 0, 3 ), ( 1, 1 ), and ( 2, -1 ) These represents the points in the second option hence the correct answer.
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What is your name? Answer this question and I will vote you as brainliest
Answer:
Jade Howey
Step-by-step explanation:
Answer:
Maria
Step-by-step explanation:
yodjdjdjdkdkdjekrnrjr
I WILL GIVE YOU 80 POINTS BUT I NEED IT TODAY ONLY NEED TO ANSWER SIX AND SEVEN
A number added to -19 is -21
x= -19 +21
-19-21 = x
-19 + x = -21
x -21 = -19
Answer:
(c) -19 + x = -21
Step-by-step explanation:
You want the mathematical expression equivalent to the English sentence "a number added to -19 is -21."
ExpressionsAddition is written using the math plus symbol (+).
The English word "is" usually signifies sameness or equality, expressed using the math equal sign (=).
The variable x is often used to represent "a number."
When a number is added to -19, we start with -19, then, using the plus symbol, we add x:
"a number added to -19" ⇒ -19 + x
"is" ⇒ =
"-21" ⇒ -21
So, the translated description is ...
-19 + x = -21
PLS HELP WILL GIVE 30 POINTS
Write a quadratic function in standard form whose graph has the given characteristics.
passes through (- 8,0), (- 6, -16), and (2,0).
Answer: [tex]y=x^2 +6x-16[/tex]
Step-by-step explanation:
From the roots, the equation in factored form is [tex]y=a(x-2)(x+8)[/tex]. Substituting in the coordinates (-6, -16),
[tex]-16=a(-6-2)(-6+8)\\\\-16=-16a\\\\a=1[/tex]
So, the equation is [tex]y=(x-2)(x+8)[/tex], which expands to [tex]x^2 +6x-16[/tex].
Find the value of x in the triangle shown below
The value of x from the triangle is 12
How to determine the valueGiven the sides as;
Hypotenuse = 15opposite = xAdjacent = 9Using the Pythagorean theorem
Hypotenuse square = opposite square + adjacent square
Substitute the value, we have;
15² = x ² + 9²²
Find the squares
225= x² + 81
collect like terms
225 - 81 = x²
144 = x²
Take the square root of both sides
x √144
x = 12
Thus, the value of x from the triangle is 12
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alex invested $50,000 into two accounts. one account paid 2% interest and the other paid 7% interest. he earned 6.2% interest on the total investment. how much did he put into each account
The amount he put into the first account at 2% interest will be $8,000 and into the second account at 7% interest will be $42,000.
Given that,
Amount invested by Alex = $50,000,
Total interest earned = 6.2%,
Now,
Let,
Amount invested at 2% = x,
So,
Amount invested at 7% = (50,000 - x),
So,
According to the question,
7%(50000 - x) + 2%(x) = 6.2% * 50,000
we get,
0.07(50000 - x) + 0.02(x) = 0.062 * 50,000
3500 - 0.07x + 0.02x = 3100
3500 - 0.05x = 3100
We get,
0.05x = 3500 - 3100
0.05x = 400
x = 8000,
So,
Amount invested at 2% = $8000,
So,
Amount invested at 7% = (50,000 - 8000) = $42,000,
Hence we can say that the amount he put into the first account at 2% interest will be $8,000 and into the second account at 7% interest will be $42,000.
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1. There are 15 apples in a basket. 7 of these are green. The rest of them are red.
a. What is the ratio of green apples to red apples?
Answer:
there are 7 green apples to 8 red apples, or it can be said as 7/8.
Step-by-step explanation:
15 - 7 = 8. This leaves 8 apples left, making these ones red.
Question 15 The length is : A rectangular room is 1.9 times as long as it is wide, and its perimeter is 29 meters. Find the dimension of the room. > meters. Submit Question 0/1 pt100 Deta Question Help: Message instructor meters and the width is
The length of rectangular room is 9.5 meter.
The width of rectangular room is 5 meter.
What is Perimeter of rectangular?
The perimeter of a rectangle is two time the sum of length and width of rectangle.
Given that;
The perimeter of rectangular room = 29 meter
The length of rectangular room is 1.9 times as long as it is wide.
Now, Let the width of rectangular room = x
Then Length of rectangular room = 1.9x
Since, Perimeter of rectangular room = 2 ( length + width)
⇒ 29 = 2 (1.9x + x)
⇒ 29 = 2 * 2.9x
⇒ x = 5
Hence, The length of rectangular room = 1.9x
= 1.9 * 5
= 9.5 meter
The width of rectangular room is = x
= 5 meter.
So, The length of rectangular room is 9.5 meter.
The width of rectangular room is 5 meter.
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Evaluate the expression the find the missing values in the table.
Option 1: 85, 60, 32
Option 2: 77, 68, 40
Option 3: 85, 68, 40
Option 4: 77, 60 32,
After the evaluation of the given expression n² + 4, the correct option is (3) 85, 68, and 40.
What are expressions?A group of numbers or variables combined with the operations +, -,×, ÷ or form an expression. Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that only contain numbers and mathematical operators.So, n² + 4:
n² + 4 when n = 9: 9²+ 4 ⇒ 81 + 4 = 85n² + 4 when n = 8: 8² + 4 ⇒ 64 + 4 = 68n² + 4 when n = 6: 6² + 4 ⇒ 36 + 4 = 40Therefore, after the evaluation of the given expression, the correct option is (3) 85, 68, and 40.
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An equation of a line through (-2, 8) which is parallel to the line y = 4 x + 4 has slope:
The slope of the line that is parallel to the given equation is 4
Slope of a lineFrom the question, we are to determine the slope of the equation that is parallel to the given line
The given line is
y = 4x + 4
First, we will determine the slope of the given line
By comparing with the slope-intercept form of the equation of a straight line,
y = mx + b
Where m is the slope
and b is the y-intercept
By comparison,
m = 4
Thus,
The slope of the line is 4
NOTE: If two lines are parallel, their slopes are equal
Hence, the slope is 4
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At the time of her grandson's birth, a grandmother deposits $9000 in an account that pays 8% compounded monthly What will be the value of the account at the child's twenty- first birthday, assuming that no other deposits or withdrawals are made during this period ?
The value of the account is $47226.73.
The compound interest formula is equal to
A = P( 1 + r/n )^{nt}
where A is the Final Investment Value, P is the Principal amount of money that is to be invested, r is the rate of interest, t is the Number of Time Periods, and n is the number of times interest is compounded per year.
Now, we have:
t = 21 years
Principal amount, P = $9000
Rate, r = 8% = 0.08 and
n = 12 as a year has 12 months.
Substituting these values in the formula,
[tex]A = P( 1 + \frac{r}{n} )^{nt}[/tex]
A = 9000 × ( 1 + 0.08/12)²⁵²
A = 9000 × ( 1 + 0.0066)²⁵²
A = 9000 × ( 1.0066)²⁵²
A = 9000 × 5.247
A = 47226.73
The value of the account will be $47226.73.
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