The balance of Susu’s savings account can be represented by the variable b. The inequality describing her balance is b > $30. Which could be a solution to the inequality?
$15
$20
$30
$35
Answer: 35
Step-by-step explanation: This answer, wants a number just greater than 30 not equal to. The symbol > means just greater than, however the symbol ≥ means greater than or equal to.
Answer:
$35
Step-by-step explanation:
Any value of b greater than $30 would be a solution. Only one of the four listed possible answers satisfies that: $35.
Which sentences highlight the protection of consumer rights? Steven and Samuel are managers in different retail stores. Steven allows customers to look at different products and verify the product details before choosing a product. Steven’s priority is satisfied customers. Samuel prefers saving time and attending to maximum number of customers in a given time. He does not allow customers to see different products and verify product details before choosing them. He insists that consumers should just trust the products in his store and directly buy the products available instead of comparing different brands.
The basic consumer right includes "Right to be informed" that states the availability of information required for weighing alternatives, and protection from false and misleading claims in advertising and labeling practices.
Hence, the sentence "Steven allows customers to look at different products and verify the product details before choosing a product. Steven’s priority is satisfied customers" - justifies the definition of consumer rights.
So, this above sentence highlights the protection of consumer rights.
The sentences that highlight the protection of consumer rights are explained in the answer.
Explanation:The sentences that highlight the protection of consumer rights are:
Steven allows customers to look at different products and verify the product details before choosing a product.Steven’s priority is satisfied customers.Samuel prefers saving time and attending to the maximum number of customers in a given time and does not allow customers to see different products and verify product details before choosing them.He insists that consumers should just trust the products in his store and directly buy the products available instead of comparing different brands.These sentences illustrate the importance of allowing customers to make informed choices and verify product details, which are fundamental consumer rights.
A store had 88 diet sodas.The ratio of diet sodas to regular sodas was 8:4.How many regular sodas were there?
Answer:
44
Step-by-step explanation:
diet : regular = 8:4
=> 88:44
The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which is the best estimate of the value of the account 12 years after it was opened? $8,910 $8,980 $13,660 $16,040
Answer:
Correct choice is B
Step-by-step explanation:
The exponential regression model can be written as exponential function
[tex]y=a\cdot b^x.[/tex]
Then
[tex]5,000=a\cdot b^0=a,\\ \\5,510=a\cdot b^2\Rightarrow 5,510=5,000\cdot b^2,\\ \\b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}\Rightarrow b\approx 1.05.[/tex]
Thus,
[tex]y=5,000\cdot (1.05)^x.[/tex]
When [tex]x=12,[/tex] you get
[tex]y(12)=5,000\cdot (1.05)^{12}\approx \$8,980.[/tex]
Pine Bluff Middle School is having its annual Spring Fling dance, which will cost \$400$400. The student treasurer reported that the dance fund has \$75$75 left over from last year. Each ticket to the dance costs \$4$4.
Who does this describe? The country was in chaos, but this scholar helped bring order to society through his teachings about family and government relationships, and the Golden Rule.
A. Siddhartha Gautama
B. Ramayana
C. Asoka
D. Confucius
Answer:
The correct answer is D. This statement describes Confucius.
Step-by-step explanation:
Confucius was a Chinese philosopher, whose teachings had a great influence in China, Korea, Japan and Vietnam. According to tradition, he was born in the city of Qufu, in the Kingdom of Lu, now part of Shandong Province. He is said to have become Minister of Justice in Lu's kingdom. After being forced to resign, he toured the small kingdoms of northeast and central China, explaining his ideas about governance.
He emphasizes his philosophy of morality, right social relationships, justice and honesty, both in personal life and in government. During the Han Dynasty period in China, his teachings became the official philosophy of the state. His teachings were introduced to Europe by the Jesuit Matteo Ricci, the first to Latinize his name as "Confucius."
What is the quetient of 17.51 / 3.4?
Answer:
5.15
Step-by-step explanation:
I entered 17.5 slash 3.4 into my TI calculator
Answer:
5.15 Hope this helps!!!!!!!!!
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6 for each hour of work. Her total fee for a 44-hour job, for instance, is \$32$32. Let F(t)F(t) denote Carolina's fee for a single job FF (measured in dollars) as a function of the number of hours tt it took her to complete it.
Answer:
y=8+6t
Step-by-step explanation:
Answer:
[tex]F(t)=6t+8[/tex].
Step-by-step explanation:
Let t represent number of hours.
We have been given that Carolina charges $6 for each hour of work. So amount charged for t hours of work would be [tex]6t[/tex].
Let us find initial cost by subtracting charges for 4 hours from 32 as:
[tex]\text{Initial cost}=32-4\times 6[/tex]
[tex]\text{Initial cost}=32-24[/tex]
[tex]\text{Initial cost}=8[/tex]
The total cost for t hours of work would be initial cost plus cost per hour: [tex]6t+8[/tex].
Our required function would be [tex]F(t)=6t+8[/tex].
A wild horse runs at a rate of 8 miles per hour for 6 hours. Let yy be the distance, in miles, the horse travels for a given amount of time, xx, in hours. This situation can be modeled by a function. Which of these describe the domain of the function? Group of answer choices 0\le x\le60≤x≤6 0\le y\le60≤y≤6 0\le x\le480≤x≤48 0\le y\le480≤y≤48
Answer:
[tex]0\leq x\leq 6[/tex]
[tex]0\leq y\leq 48[/tex]
Step-by-step explanation:
we are given
speed =8 mph
time = 6 hours
so, we have
[tex]x=6[/tex]
now, we can find distance
distance = (speed)*(time)
[tex]distance=8\times 6 miles[/tex]
[tex]distance=48 miles[/tex]
so, we have
[tex]y=48 miles[/tex]
so, our range for x and y can be
[tex]0\leq x\leq 6[/tex]
[tex]0\leq y\leq 48[/tex]
At 55 mph it will take you approximately _____ feet to stop the car. A. 5 feet B. 100 feet C. 228 feet
Answer:
The correct answer is option C, 228 feet
Step-by-step explanation:
As per Newton’s third law of motion:
V2 – U2 = 2 x a x S
Where V = final velocity
U = Initial Vlocity
a = acceleration (-ve)
S= distance travelled
V= 0 mph
U= 55 mph = 80.6667 ft /sec
0 – (80.6667 ft /sec)2 = 2 x (-g/2) x S
S = (80.6667 ft /sec)2 /(32.2 feet per second per second x0.5)
S = 202.1 feet
So the most nearest option is option C
Which isn't a function?
Answer:
Step-by-step explanation:
It is the first one because a parabola cannot go sideways from a funtion because there are more than one y values for each x value
what is -2 sqrt20 - sqrt125
Answer:
-9sqrt(5)
Step-by-step explanation:
-2 sqrt20 - sqrt125
Lets simplify the square roots
sqrt(ab) = sqrt(a)sqrt(b)
-2 sqrt(4) sqrt(5) - sqrt(25) sqrt(5)
-2 *2sqrt(5) - 5sqrt(5)
-4sqrt(5) -5sqrt(5)
-9sqrt(5)
ughhhh please help me i don’t wanna fail again
Answer:
Step-by-step explanation:
Start with (1,2) . One of the pairs has to begin with a 1. Look around to see which set of points has a 1 for the x value.
B and C do. So all you have gotten rid of is A and D. D looks like it might work, but it really does not. It has - 1 as it's starting point. The point must start with 1.
The next step is to find the distance between the 2 given points. The y value for the two points already on the graph is the same so they do not contribute anything to the distance. -3 and 1 are 4 units apart.
1 and ? must also be 4 units apart. Only D does. 1 and -3 are the x values 2 and 6 are the y values. The answer is B
Drag one model next to each situation. The correct model for each group represents that situation
The question involves creating and analyzing scientific models, collaborating in groups to build and refine these models based on experimental evidence, and engaging in critical thinking about their accuracy and limitations.
Explanation:The question involves students creating and analyzing models that represent certain scientific situations. Creating a model is a fundamental part of scientific inquiry as it helps in visualizing and understanding complex concepts. Students are tasked with exchanging and labeling pictures or drawings of their models, which aids in the development of the communication of scientific ideas. They then apply their models to specific situations, test these models, and note the outcomes to assess the accuracy and limitations of the models they have built. This process involves critical thinking, collaboration, and application of scientific knowledge.
Moreover, students are required to modify their models based on experimental evidence and discussions about the limitations of their models. When building models of atoms, for example, students must consider basic ratios, an understanding of atomic structure, and the unique characteristics of the element they are representing.
The complete question is:Drag one model next to each situation. The correct model for each group represents that situation
Which system of equations correspond to this matrix equation?
Question 9 options:
5x + 2x = -7
3y - 4y = -6
5x + 2y = -7
3x + 4y = -6
5x + 2y = -7
3x - 4y = -6
5x - 2y = -7
3x - 4y = -6
Answer:
5x + 2x = -7
3y - 4y = -6
Step-by-step explanation:
Given the matrix, we can multiply across the constant matrix and down the variable matrix
5x +2y = -7
3x -4y = -6
Answer: (C)
Step-by-step explanation:
When multiplying matrices:
Row 1 x Column 1 = the value in Row 1 Column 1
[tex]\left[\begin{array}{cc}5&2\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]= -7[/tex]⇒ 5(x) + 2(y) = -7⇒ 5x + 2y = -7Row 2 x Column 1 = the value in Row 2 Column 1
[tex]\left[\begin{array}{cc}3&-4\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]= -6[/tex]⇒ 3(x) + -4(y) = -6⇒ 3x - 4y = -6Combine the two equations to get:
[tex]\left \{ {{5x + 2y = -7} \atop {3x - 4y = -6}} \right[/tex]
is 2i a real or complex root?
By definition, i = sqrt(-1) because it is used to solve the equation x^2+1 = 0 or x^2 = -1, which has no real number solutions.
Since i is imaginary or complex, then so is 2i
You can express it as 2i = 0+2i to be in the form a+bi with a = 0 as the real part and b = 2 as the imaginary component.
In ?ABC, the measure of ?C=90°, the measure of ?A=30°, and CA = 68 feet. Find the length of BC to the nearest foot
Answer:
39 feet
Step-by-step explanation:
Since the triangle is right we can use the tan ratio to find BC
tan 30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{68}[/tex]
multiply both sides by 68
68 tan 30° = BC ⇒ BC ≈ 39 feet ( to nearest foot )
A gardener is planting two types of trees: Type A is 8 feet tall and grows at a rate of 3 inches per year. Type B is 7 feet tall and grows at a rate of 4 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.
Answer:
Exactly 12 years it will take for these trees to be the same height
Step-by-step explanation:
Slope intercept form: An equation of line is in the form of [tex]y = mx+b[/tex] where m is the slope or unit rate and b is the y-intercepts.
Let x represents the time in years and y represents the height of the tree.
Use conversion:
1 ft = 12 inches
As per the given statement:
Type A is 8 feet tall and grows at a rate of 3 inches per year.
⇒unit rate per year = 3 inches = [tex]\frac{1}{4}[/tex] ft
Then, we have;
[tex]y =\frac{1}{4}x + 8[/tex] ......[1]
Similarly for;
Type B is 7 feet tall and grows at a rate of 4 inches per year.
⇒unit rate per year = 4 inches = [tex]\frac{1}{3}[/tex] ft
then;
[tex]y =\frac{1}{3}x + 7[/tex] .....[2]
To find after how many years it will take for these trees to be the same height.
Since, trees to be the same height;
⇒equate [1] and [2], to solve for x;
[tex]\frac{1}{4}x + 8 = \frac{1}{3}x +7[/tex]
Subtract 7 from both sides we get;
[tex]\frac{1}{4}x + 8-7= \frac{1}{3}x +7-7[/tex]
Simplify:
[tex]\frac{1}{4}x + 1= \frac{1}{3}x[/tex]
Subtract [tex]\frac{1}{4}x[/tex] from both sides we get;
[tex]1= \frac{1}{3}x-\frac{1}{4}x[/tex]
Simplify:
[tex]1 = \frac{x}{12}[/tex]
Multiply both sides by 12 we get;
x = 12
Therefore, exactly it will take for these trees to be the same height is, 12 years
What's the product of 42⁄3 and 111⁄4 ?
A. 83⁄7
B. 56⁄135
C. 442⁄12
D. 521⁄2
Change the mixed numbers to the impropert fractions:
[tex]4\dfrac{2}{3}=\dfrac{4\cdot3+2}{3}=\dfrac{14}{3}\\\\11\dfrac{1}{4}=\dfrac{11\cdot4+1}{4}=\dfrac{45}{4}[/tex]
[tex]4\dfrac{2}{3}\cdot11\dfrac{1}{4}=\dfrac{14}{3}\cdot\dfrac{45}{4}=\dfrac{7}{1}\cdot\dfrac{15}{2}=\dfrac{105}{2}=52\dfrac{1}{2}\to\boxed{D.}[/tex]
How are the absolut value of an imaginery number is related distance betweem two point related to another
Answer:
the absolute value of a imaginary number is somewhat similar to a distance between the two points.
Step-by-step explanation:
by absolute value of an imaginary number a+i b we mean the distance of the origin (0, 0) and the point (a,b) in the complex plane
i.e. [tex]\sqrt{a^{2} +b^{2} }[/tex]
whereas distance between two points ([tex]x_{1}[/tex],[tex]x_{2}[/tex]) and ([tex]y_{1}[/tex],[tex]y_{2}[/tex]) is given by [tex]\sqrt{(x_{1}-y_{1} )^2+( x_{2}-y_{2})^2}[/tex]
if ( [tex]y_{1}[/tex],[tex]y_{2}[/tex])=(0,0) then it is similar to the absolute value of a complex number of the type x+i y.
Jewish people light a menorah on each of the 8 nights. On the first night, 1 candle plus the shamash candle is lit. On the second night, 2 candle plus the shamash candle is lit, and so forth. Over the course of Chanukah, how many candles are lit in all??
Answer:
Step-by-step explanation:
General Remark
Let's start with the long way.
Each day 1 traditional candle (shamash) is lit along with a number of candles representing that day of Chanukah. I'm taking it that a new Shamash candle must be used each day.
Total Candles = 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 44
Givens
a = 2L = 9n = 8Formula
Sum = (a + L)*n/2
Solution
Sum = (2 + 9)*8/2Sum = (11)*4Sum = 44If this is wrong can you tell me what assumption I'm making that is incorrect.
Answer: Your answer is Hanukkah
Factor x^3-4x^2-3x+18=0 given that 3 is a zero.
A) (x+2)(x-3)^2=0
B) (x-2)(x-3)^2=0
C) (x-2)(x-3)(x+3)=0
D) (x+2)(x-\sqrt{3})(x+\sqrt{3})=0
Answer:
B: (x + 2)(x - 3)^2
Step-by-step explanation:
This is only going to have 3 roots. One of them is (x - 3)
D does not look right. So let's solve it using synthetic division.
3 || 1 - 4 -3 18
3 -3 -18
========================
1 -1 -6 0
So what you have is a quadratic
x^2 - x - 6 = 0 which will factor(x - 3)(x + 2) = 0x - 3 = 0x = 3x + 2 =0x = - 2(x - 3)(x - 3)(x + 2 ) = 0The answer is B
DEFG is a parallelogram. Segment DH = 2y + 6, segment HF = 4x + 1, segment HE = 3x + 2 and segment GH = 20. Find the value of x
Answer:
6
Step-by-step explanation:
If GH equals 20 so does HE so 3x6+2=20
Answer:
x=6
Step-by-step explanation:
given that DEFG is a parallelogram and the diagonals bisect at H.
Since diagonals bisect each other in a parallelogram, we have
DH = HF and EH = HG.
GH=20 is given. i.e. 3x+2 = 20
Subtract 2
3x = 18
Divide by 3
x =6
so answer is x =6.
We can find value of y also. DH =HF=4x+1
i.e. 2y+6 = 25
y = 9.5
A circle has an arc of length 48(3.14) that is intercepted by a central angle of 120°
wanda has $640 in her checking account. she pays her landlord $75 per week for rent.
which function best models the linear relationship?
y = 640x 75
y = −75x 640
y = −75x − 640
y = 75x 640
Answer:
Option B is correct
[tex]y = -75x+640[/tex]
Step-by-step explanation:
The equation of line is given by:
[tex]y=mx+b[/tex]
where, m is the rate or slope and b is the initial amount.
As per the statement:
Wanda has $640 in her checking account.
She pays her landlord $75 per week for rent.
Assume that the number of weeks be x.
Let us assume that the y represented the money in the account after x weeks.
then;
the function becomes,
[tex]y = 640-7x[/tex]
or
[tex]y = -75x+640[/tex]
Therefore, the function best models the linear relationship is, [tex]y = -75x+640[/tex]
What is the smallest possible integer value of x in order for the product of 720 and x to result in a perfect square?
Answer:
x = 5
Step-by-step explanation:
720 = 2^4 × 3^2 × 5
√720 = 2^2 × 3 × √5
√(720×5) = 2^2 × 3 × 5
Convert Fahrenheit to Celsius is C=5/9(F-32) convert 18c to Fahrenheit
Answer:
-7.77778
If you use google it will help u
There are 100 sophomores at the school. 85% of them are good students. What would be the percent of good students at school if (rounding the answer to the nearest whole number): b ten "A" students were to join this school
Answer:
86%
Step-by-step explanation:
77% students are good students after 10 students join the school.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The number of sophomores in the school = 100
Also, the percentage of good students = 85%
So, number of good students = 100x85/100 = 85
If 10 students join the group,
Then total number of students = 100+10 =110
Percentage of good students = 85 x 100/110
= 77.181
= 77%(round to whole number)
The percentage of good students is 77% in school.
To know more about Percentage on:
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The manufacturer ID number for Proctor and Gamble is (037000) and the item number for a box of Bounce Fabric Softener is (80049). What is the valid UPC?
A) 0-37000-80049-9
B) 0-37000-80049-1
Eliminate
C) 1-37000-80049-1
D) 1-80049-37000-0
Answer:
A) 0-37000-80049-9
Step-by-step explanation:
For a standard bar code, it consists of a five digit manufacturer number and a five digit product number. Check digits are a single digit computed from the other characters in the string of numbers. Check digits are on the far right.
Add the odd number digits: 0+7+0+8+0+9 = 24.
Multiply the result by 3: 24 × 3 = 72.
Add the even number digits: 3+0+0+0+4 =7.
Add the two results together: 72 + 07 = 79.
The last digit is 9
Answer:b
Step-by-step explanation: USA test prep
How to get 5% of 220 files
To find 5% of 220 files, convert the percentage to a decimal (5/100 = 0.05) and multiply it by 220. The result is 11, meaning 5% of 220 files is 11 files.
To calculate 5% of 220 files, you need to use the concept of percentage from basic mathematics. Here's a step-by-step explanation:
Understand that 'percent' means 'per hundred'. So, 5% can be expressed as 5/100.
Multiply the percentage (in this case, 5/100) by the total number of files (which is 220).
Perform the calculation: (5/100) times 220 = 0.05 times 220 = 11.
Therefore, 5% of 220 files is 11 files.