Answer: 1.6 or 2
Step-by-step explanation:
If you are rounding it to the nearest tenths then the answer is 1.6 but if you are rounding to the nearest whole number then its 2.
Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left. The amount left depends on the number of d days that have passed. A. Write an equation for the situation.B. Find the a amount of money he began with.C. How much money does Marty have after 9 days?
Given:
Amount Marty spent per day = $3
Number of days = 14
Remaining amount = $68
Since the amount left depends on the number
Please can someone help solve the attached:
The translation moves 5 units to the left and 2 units down, so we have:
c = -5
d = -2
How to find the values of C and D?To identify the translation, let's follow a single vertex of the triangle.
The top vertex of triangle A is at (2, -3)
After a reflection about the x-axis only the y-value changes, so after the reflection the coordinates of that vertex will be:
(2, 3).
In now we apply the given translation, the new coordinates will be:
(2 + c, 3+ d)
And the coordinates of this vertex on triangle B is (-3, 1), so we have:
(2 + c, 3+ d) = (-3, 1)
2 + c = -3
c = -3 - 2 = -5
3 + d = 1
d = 1 - 3
d = -2
So the translation is defined by the values:
c = -5
d = -2
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What is the slope of a line that is perpendicular to a line represented by the equation 6y=−7x+4?
Enter your answer, as a fraction in simplest form, in the box.
The slope of the line that is perpendicular 6y=−7x+4 is: 6/7.
What are the Slopes of Perpendicular Lines?If one line has a slope of a/b, the slope of the line that is perpendicular to the line would be the negative reciprocal of a/b, which is -b/a.
If the slopes of perpendicular lines are multiplied together, for example (a/b)(-b/a), we would always have a result of -1.
Rewrite the equation 6y = −7x + 4 in slope-intercept form as y = mx + b, in other to determine the value of m = slope.
6y/6 = −7x/6 + 4/6
y = −7/6x + 2/3
The slope of 6y = −7x + 4 is -7/6. 6/7 is the negative reciprocal of -7/6. Therefore, the slope of the perpendicular line is: 6/7.
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Which system of linear inequalities is represented by the graph? O y=x-2 and x-2y 4 O y=x + 2 and x + 2y = 4 O y=x-2 and x + 2y = 4 O y =x-2 and x + 2y =-4
The two inequalities are (option c) y > x - 2 and2y + x < 4
Given,
Let's start by locating the red-hued area.
If the shadow is visible to be over the line, then the situation will be as follows:
y > ax + b
Hence the equation for the line is ax + b.
The slope is a, and the y-intercept is b.
The line in the graph intersects the y-axis at y = -2, which results in:
b = -2
Two points on the line are required to determine the slope; these points are (0, -2), and (2, 0)
We are aware of the slope for a line passing through the points (x1, y1) and (x2, y2) as follows:
a = (y2 - y1)/(x2 - x1) (x2 - x1)
The slope for this line will then be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then this line's equation is:
1x - 2
And here's the inequality:
y > x - 2.
The shaded area of the blue one is below the line, thus we will have:
y < ax + b
The y-intercept in this situation is y = 2.
This line crosses through the points (0, 2) and, as can be seen (4, 0)
The slope is then:
a = (0 - 2)/(4 - 0) (4 - 0) = -2/4 = -1/2
This inequality is then:
y < (-1/2)x + 2
If we rewrite this using the choices, we get the following:
y < (-1/2)x + 2
2y < -x + 2 ×2
2y + x < 4
The two inequalities are (option c) y > x - 2 and2y + x < 4
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Answer: C
Step-by-step explanation:
Can someone help me quickly please ill give brainlist
Ms. Zhou was sketching out a new wooden toy design. One of the designs had the instructions to sketch
points at the following locations and then draw lines to connect the points in order
A (2,2); B (4,-4); C (-3,-4); and D (-1,2).
(a) Use the graph below (or a snip of the graph) to plot and label the points. Then connect the points in
order: A to B, B to C, C to D, and then D back to A to create her shape. (You must include a drawing
for credit)
Answer:
I've included a visual representation
Step-by-step explanation:
i did the assigment yesterday
9y = -2x is this true or false
(9-7)2+4*3(2-4)2. By gtsggggy
Answer: it
Step-by-step explanation:
!!!
Write the equation in slope intercept form: x-3y=12
Answer:
[tex]\\ y = \frac{1}{3} x - 4[/tex]
Step-by-step explanation:
Hope this helps! :))
Can someone help me i will give brainlest :) 12, 13, 14, only do those one's
Plotted Answers:
12.) See attached for my work
13.) See attached for my work
14.) See attached for my work
Simplified Answers:
12.) y > –24
13.) x ≥ –12
14.) x > –7
Hope that helps! Have an amazing rest of your day! Please consider giving me the Brainliest! :)
the slop of (10,8) and (1,9)
Answer:
slope = -1/9
Step-by-step explanation:
Hope this helps!!!
The area of a rectangle is 110 square units. Its length measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a un
it
The length of the diagonal of the Triangle is 14.86 units
What is Diagonal?
When two polygonal vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.
Given,
Area of Rectangle = 110square units
Length = 11units
Breadth = ?
Area of Rectangle = length x breadth
Breadth = Area of Rectangle / length
Breadth = 110 / 11
Breadth = 10units
Length of diagonal (Pythagoras Theorem)
H^2 = P^2 + B^2
H^2 = (11)^2 + (10)^2
H^2 = 121 + 100
H^2 = 221
H = [tex]\sqrt{221}[/tex]
H = 14.86 units
Hence, The length of its diagonal is 14.86 units
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What is the solution to the inequality?
17<9+x
OA. x<8
OB. x>8
OC. x > 26
OD. x< 26
SUBMIT
Answer:
B) x > 8
Step-by-step explanation:
1-Step: Combine like terms by subtracting 9 on both sides : 17-9 < X
8 < X
2- Step: flip the signs (Since 8 is less than X, Then X is greater than X)
X > 8
There are 4,000 books in the town's library. of these, 2600 are fiction. write a percent equation that you can use to find the percentage of books that are fiction. then solve your equation.
The percent equation is = 2600/ 4000 × 100/1
The percentage of books that are fiction is 65%
What is percentage?Percentage can be described as the ratio, quotient or number that is being expressed as a fraction of 100.
It is also described as the given part or amount in every hundred.
It is expressed as a fraction with 100 as the denominator of the fraction
It is represented with the symbol "%".
Given the information ;
Total number = 4000 books
Fiction books = 2600
The percentage is represented as;
= 2600/ 4000 × 100/1
Find the ratio
= 0. 65 × 100/1
Multiply through
= 65%
Hence, the value is 65%
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Find the coordinates of the vertices of each figure after a reflection over the given axis.
triangle ABC with vertices A(2,3)B(4,-5), and C(-1,2); x-axis
The coordinates of the vertices after the reflection over the x-axis are A' (2, -3) B' (4, 5) and C' (-1, -2)
Given,
A triangle ABC with vertices A(2,3) , B(4,-5), and C(-1,2)
To find the coordinates of the vertices of each figure after a reflection over the given axis.
Now, According to the question:
We should know that:
You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin = (-x, y)
So here's our set of points.
A(2,3) , B(4,-5), and C(-1,2)
Here's those points reflected over the x axis.
A' (2, -3) B' (4, 5) and C' (-1, -2)
Hence, The coordinates of the vertices after the reflection over the x-axis are A' (2, -3) B' (4, 5) and C' (-1, -2)
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(1 point) the shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 8 years and a standard deviation of 0.3 years. what value of shelf life do 16% of the battery shelf lives fall below? round your answer to one decimal place.
8.27 is the normally distributed value of the shelf life which falls under 16% of the battery shelf life.
Because the shelf life of a battery manufactured by one big business is known to be regularly distributed, we would use the normal distribution formula, which is stated as
z = (x - µ) ÷ σ
Where
x = shelf life of a battery in years.
µ = mean shell life
σ = standard deviation
Based on the facts provided,
µ = 8 years
σ = 0.3 years
The z score corresponds to a p-value of 16% in the normal distribution table,
(16 ÷ 100 = 0.16) is - 0.9.
Therefore,
- 0.9 = (x - 9) ÷ 0.3
0.3 × (- 0.9) = x - 8
0.27 = x - 8
x = 0.27 + 8
x = 8.27
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Two cars are initially 10 miles parat on the same straight road and are moving towards each other. One car is going 30 miles per hour and the other car is going 36 miles per hour. How far apart are the two cars 2 minutes later?
Answer:
Let's break down the given information.
Car A
Speed - 30 mph
Hence the distance traveled per minute would 30/60 mph which is 0.5 Miles every minute.
Car B
Speed - 36 mph
The distance traveled per minute would 36/60 mph which is 0.6 Miles every minute.
Initial distance between the cars is 10 Miles
Car A travels 1 miles in 2 minutes and Car B travels 1.2 miles in 2 minutes.
Hence to calculate the distance between the 2 cars we need to calculate
Initial distance - Distance travelled by Car A - Distance traveled by Car B
Which is
10 - 1 - 1.2
7.8 Miles distance between the 2 cars
Hi, can you help me to solve this problem, please !!!
Remember that
The y-intercept is the value of y when the value of x=0
In this problem
we have the equation
y=7x^2+4
For x=0
substitute
y=7(0)^2+4
y=4
the y-intercept is (0,4)60 points help will give brainliest
Answer:
(g o f)(8)
Step-by-step explanation:
First we find f(8).
f(8) = 8 - 1 or 7.
We now find g(f(8)), which means g(7).
g(7) = 7^3 or 343
What’s the answer pls
If I'm not mistaken, the answer is 43.17
Hey!
New question 4 today
Nadia is walking a 3.4-mile trail. She stops to take a break after walking 1.6 miles. Which explains whether the distance Nadia already walked is greater than, less than, or equal to the distance she has left to walk?
!PLEASE!
Don't give wrong answers. (its not very nice)
Only use one of the answer options. (other answers are wrong)
Based on the distance walked by Nadia when she took her break, the statement that explains the distance already walked is C. The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8.
How to find the distance?Nadia had already walked 1.6 miles by the time she took her break. This means that the distance she was still left to walk in the mile trail was:
= 3.4 - 1.6
= 1.8 miles
The distance that Nadia had already walked was 1.6 miles and yet she was left to walk 1.8 miles.
We can therefore conclude that the distance that Nadia already walked is less than the distance still to be walked.
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The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8 which is the correct answer would be an option (C).
What is the distance?Distance is calculated as the product of a person's movement and time.
Nadia took a rest after covering 1.6 miles of walking.
This indicates that she had the following distance to cover on the mile trail:
⇒ 3.4 - 1.6 = 1.8 miles
Nadia had already walked 1.6 miles, but she still had another 1.8 miles to go.
Therefore, the distance Nadia has already traveled is less than the distance that needs to be covered.
Hence, the correct answer would be an option (C).
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Solve the system of equations below for x, y, and z. (4x - 2y + 3z = 9 x - 2y = -3 2x + 3y = 1
The solutions are x = -1, y = 1 and z = 5
What is a Linear equation?In Mathematics, the equation which has highest degree 1 is known as a Linear equation. Linear equations are used to calculate unknown values. Here to represent unknown values we will use variables like x, y, z or a, b, c .. etc.
According to the number of variables in given equations, the given equations will be called a Linear equation in one variable or Linear equation in two variables and so on. To solve linear equations we will use Elimination method
Here, we have three linear equations with 3 and 2 variables
4x - 2y + 3z = 9 ----(1)
x - 2y = -3 -----(2)
2x + 3y = 1 -----(3)
Here, to find x, y and z we will use Elimination method
First of all solve (2) and (3) as given below
2 × (2) ⇒ 2x - 4y = - 6 -----(4)
1 × (3) ⇒ 2x + 3y = 1
Now subtract (3) from (4)
(4) - (3) ⇒ 2x - 4y -2x - 3y = - 6 - 1
⇒ - 7y = -7
⇒ y = 1
Substitute y = 1 in (2)
(2) ⇒ x - 2(1) = -3
x - 2 = -3
x = -1
Now substitute x = -1 and y = 1 in (1)
(1) ⇒ 4(-1) - 2(1) + 3z = 9
- 6 + 3z = 9
3z = 15
z = 5
From above calculations
The values of x = -1, y = 1 and z = 5
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question allistair throws a biased six-sided dice. the probability of getting a 6 with this dice is 0.4. the other numbers are equally probable. if he throws the dice 3 times, what is the probability that he gets 5, 3, and 2 in this order?
The probability that he gets 5, 3, and 2 in this order is 0.92, 0.52, and 0.32 respectively.
The possibility of rolling a 6 with these dice is 0.4, according to the question. The possibility of rolling a 1 through 5 on the dice is also the probability of not obtaining a 6.
a) Chance of receiving 5:
P(6) + Q(6) = 5
Q(6) = 5 - P(6)
Q(6) = 5 - 0.4
Q(6) = 4.6
The probability of obtaining 5 to 5 is 4.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 4.6
The first five numbers have an equally likely probability.
P(1) = 4.6 ÷ 5
P(1) = 0.92
b) Probability of getting 3:
P(6) + Q(6) = 3
Q(6) = 3 - P(6)
Q(6) = 3 - 0.4
Q(6) = 2.6
The probability of obtaining 3 to 5 is 2.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 2.6
The first five numbers have an equally likely probability.
P(1) = 2.6 ÷ 5
P(1) = 0.52
c) Probability of getting 2:
P(6) + Q(6) = 2
Q(6) = 2 - P(6)
Q(6) = 2 - 0.4
Q(6) = 1.6
The probability of obtaining 2 to 5 is 1.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 1.6
The first five numbers have an equally likely probability.
P(1) = 1.6 ÷ 5
P(1) = 0.32
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Consiter this prism Enter the volume of the rectangular prism, in cubic centimeters.
To find the volume of the given prism, first, we have to transform each mixed number into a fraction
[tex]\begin{gathered} 3\frac{3}{4}=\frac{3\cdot4+3}{4}=\frac{12+3}{4}=\frac{15}{4} \\ 3\frac{1}{3}=\frac{3\cdot3+1}{3}=\frac{9+1}{3}=\frac{10}{3} \\ 2\frac{1}{2}=\frac{2\cdot2+1}{2}=\frac{4+1}{2}=\frac{5}{2} \end{gathered}[/tex]Then, we multiply the dimensions to find the volume
[tex]V=\frac{15}{4}\times\frac{10}{3}\times\frac{5}{2}=\frac{750}{24}=\frac{375}{12}ft^3=\frac{125}{4}ft^3=31\frac{1}{4}ft^3[/tex]But, we know that 1 foot is equivalent to 30.48 centimeters, so let's transform it
[tex]31.25ft^3\cdot\frac{30.48\cdot30.48\cdot30.48(cm)^3}{1ft^3}\approx884,901\frac{23}{50}(cm)^3[/tex]Find the zeros of f(x)=x(x+2)^3
List them in order of least to greatest, separated by commas. If the multiplicity is more than one, only list the zero once.
All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information on the graph's x-intercepts for the polynomial.
We will also observe that they have a direct connection to the polynomial's factors.
What are polynomial zeros with an example?
Real number k is referred to as the zero of a polynomial P(x) if P(k) = 0. As a result, the polynomial x2 - 3x + 2 has a zero at 1 and a zero at 2.
The equation p(x)=(x-1) (x-3)
Although it is a polynomial of third degree, 2, only has two different zeros. This is due to the zero x=3 having a connection to the factor.
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Help help please please help help I need help 30 POINTS
A teacher kept track of what students consumed at a school picnic. For three grades, the ratios of the amount of water consumed to the amount of fruit juice consumed were equivalent. Complete the table.
Based on the ratios of water consumed to the fruit juice consumed, the missing figures in the completed table would be:
24 water : 28 gallons of fruit juice 18 water : 21 gallons of fruit juice How to find the ratios?The ratio of water gallons consumed to fruit juice gallons is equivalent which means that at their simplest, they will always have the ratio of 6 : 7 as is the case in the 5th grade.
The missing ratio for Juice in 6th grade is:
= (Water gallons x Juice gallons in 5th grade) / water gallons in 5th grade
= (24 x 7) / 6
= 28 gallons of fruit juice
The missing ratio for water in 6th grade is:
= (18 x 7) / 6
= 21 gallons of fruit juice
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O EQUATIONS AND INEQUALITIESSolving a word problem with two unknowns using a linear...
Given:
Total number of hamburgers and cheeseburgers sold = 439
There were 61 fewer cheeseburgers than hamburgers sold.
Let's determine the number of hamburgers sold.
Let C represent the number of cheeseburgers
Let H represent the number of hamburgers sold.
We have the system of equations:
• H + C = 439
,• C = H - 61
Now, let's solve the equations simultaneously using the substitution method.
Substitute (H - 61) for C in the first equation.
We have:
H + (H - 61) = 439
H + H - 61 = 439
2H - 61 = 439
Add 61 to both sides:
2H - 61 + 61 = 439 + 61
2H = 500
Divide both sides by 2:
[tex]\begin{gathered} \frac{2H}{2}=\frac{500}{2} \\ \\ H=250 \end{gathered}[/tex]Therefore, they sold 250 hamburgers on Friday.
ANSWER:
250 hamburgers
PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINLY
Answer:
pretty sure its WZX
Step-by-step explanation:
Which number line represents the solutions to |-2x| = 4?
Answer:
(c) see attached
Step-by-step explanation:
You want the number line that shows the solutions to |-2x| = 4.
SolutionThe absolute value equation resolves to two equations:
-2x = 4 ⇒ x =-2-2x = -4 ⇒ x = 2The solution will be plotted on the number line as solid dots at -2 and 2, as shown in the attachment.
Answer:
C
Step-by-step explanation:
If there is a negative number in "I I", then it becomes positive but if it is a positive number, then it remains positive
A construction crew is lengthening a road that originally measured 10 miles. The crew is adding one mile to the road each day.Let L be the length (in miles) after D days of construction.Write an equation relating L to D. Then graph your equation using the axes below.
Let:
L = length of the road
D = Days of construction
We can write a linear equation in the slope-intercept form:
[tex]y=mx+b[/tex]Where:
m = Slope = rate = 1 mile per day
b = y-intercept = Initial value = 10 miles
Therefore:
[tex]\begin{gathered} L=1D+10 \\ L=D+10 \end{gathered}[/tex]The graph is: