Answer:
excuse this is blurry i can't understand
A section of the grocery store displays water bottles. The bottles come in packages of 6 or 8. Let x represent the number of 6-bottle packages, and let y represent the number of 8-bottle packages. The total number of packages displayed is 270, and the total number of bottles are 1860. To find the values of x and y, which of the following systems of equations would you use? Show your work
What is Set-builder and give example
It is just a way of describing a set.
You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.
Here are a few examples:
{x| x > 0} This is read: The set of all x such that x is greater than 0.
Reading it character by character:
{ — shows you that we are talking about a set, and it sort of opens up, or starts the set
x — tells you that we are talking about a set of elements x
| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.
x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.
So this example is just how you would use set builder notation to talk about the set “the positive real numbers”
So why use it? Because it can describe more complicated sets much more succinctly.
2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}
3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.
The ratio of boys to girls on a softball team was 5:3. For every 35 girls how many ratio of boys will be there?
Answer:
let the boys and girls be 5x and 3x
the ratio of boys to girls= 5:3
the total girls = 35
the ratio of boys to girls = the total girls
5 =35
3 x
5x = 105
x= 105÷5
x= 25
5x= 5×25= 125
3x= 3× 25 = 75
Question A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten students scored 90 on each test, three students scored 80 on each test and one student scored 70. What is the average score of the spelling test rounded to one decimal place? Enter your answer in the box.
The average score of the spelling test is 90.6%
To find the average score of the test, we need to add up all the scores and divide by the total number of students. We can think of the average score as the "typical" or "representative" score of the entire class.
First, let's add up all the scores:
2(100) + 9(95) + 10(90) + 3(80) + 1(70) = 200 + 855 + 900 + 240 + 70 = 2265
Next, we divide by the total number of students:
Average score = (2 + 9 + 10 + 3 + 1) / 25 * 100% = 25 / 25 * 100% = 90.6%
Therefore, the average score of the spelling test is 90.6% when rounded to one decimal place.
To know more about average here
https://brainly.com/question/16956746
#SPJ1
Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. She knows that the distance between the x-coordinates is
units. Which of the following fractions will let her find the x-coordinate for point C?
A.3/5
B.3/2
C.2/3
D.2/5
The fractions will let her find the x-coordinate for point C is 2/5
How to calculate the midpoint of coordinatesThe formula for calculating the midpoint of coordinates is expressed as:
\(M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
Substitute the given coordinate into the formulas:
\(M(x,y) = (\frac{3(2)+3(6)}{2+3},\frac{2(2)+3(11)}{2+3}) \\M(x,y) = (\frac{24}{5},\frac{37}{5}) \\M(x,y) = (4.8,7.4)\)
From the calculation, we can see that the fractions will let her find the x-coordinate for point C is 2/5
Learn more on midpoint here: https://brainly.com/question/5566419
The students in Mrs. Barnett's first-grade class sit down in a circle for show-and-tell. The circle they form has a diameter of 4 meters. What is the circle's radius?
Answer:
Step-by-step explanation:
If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.
A printer will produce 80 wedding invitations for $210. The price to produce 120 invitations is $290. The printer uses a linear function to determine the price for producing different amounts of invitations. How much will the printer charge to produce 60 invitations?
$120.00
$145.00
$157.50
$170.00
Answer:
the answer is d
Step-by-step explanation:
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.
Answer:
he could by 2 pounds and still have a dollar left over because
15 11 6
-4 -5 -5 so yeah
11 6 1
order 520, 475, 720, 580, 310, 170, 370, 220, 140 and 15 from least to greatest
Answer:
15,140,170,220,310,370,475,520,580,720
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
jjjj
3
A Rubik's Cube has a volume of 10 cm
1) Write an equation to find the length of the sides.
2) Find the length of the side to the nearest tenth.
Answer:
The formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
Step-by-step explanation:
Given that a Rubik's Cube has a volume of 10 cm, to write an equation to find the length of the sides and find the length of the side to the nearest tenth, the following calculations must be performed, knowing that the volume of a cube is obtained to enhance one of its sides to the third:
X ^ 3 = 10
X = 3√ 10
X = 2.15
Thus, the formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
Students in a large statistics class were randomly divided into two
groups. The first group took the midterm exam with soft music
playing in the background while the second group took the exam
with no music playing. The exam scores of the two groups were
then compared.
This experiment was not blind because:
- students were allowed to keep their eyes open while
taking the exam.
- the exam was too long.
- the students knew whether or not music was playing while
they were taking the exam.
- some of the students did not study for the exam.
- students were randomized into the two groups.
The correct option is B. The students knew whether or not music was playing while they were taking the exam
Given,
The class was split into two groups.
The first group took the midterm exam while background music was playing, and the second group took the exam without any background music.
In a blind experiment, any information that might affect the subjects is kept secret until the experiment is over. The pupils in this instance are aware of their group membership.
In order to answer this question, an experiment is carried out to see how music affects learning. One group of students studies while background music is playing, while the other group does not.
However, because of the background music playing here, the pupils are aware of which group they belong to. The experiment's outcomes are impacted by this.
Therefore the correct option is B. The students knew whether or not music was playing while they were taking the exam.
For more details on blind experiments follow the link:
https://brainly.com/question/17142876
#SPJ4
Help me !!!!!!!!! I need this for today
Answer:
Step-by-step explanation:
AC= E
AC= CD
BC= EE
Please write the problems I cant see them well
Find the slope of the line passing through the points (-4,
4) and (2, 5).
Answer:
1/6
Step-by-step explanation:
The equation for finding the slope of two points is (y2-y1)/(x2-x1) and if you plug those number into the equation you get 1/6 (simplest form)
If the slope is 2 and the y-intercept is 6, then the linear equation is 2y = 6x.
False
True
Answer:
False
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 6
Step 2: Write Function
Substitute into general form.
y = 2x + 6
Step 3: Compare
2y = 6x does not equal y = 2x + 6
graph h(x)=(x-1)^2-9
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
for such more question on parabola
https://brainly.com/question/9201543
#SPJ8
What is the probability that a person orders sandwich with cheddar cheese
Answer:
16.67%
Step-by-step explanation:
The florist makes the greatest number of identical arrangements with the lilies and the daisies. Which combination describes the arrangements?
Answer:
12 arrangements with 5 lilies and 3 daisies
Step-by-step explanation:
Roxy’s new employer pays employees bimonthly, which is twice a month. She’ll earn $30 per hour with the new company. She plans to continue making extra money by dog sitting on weekends. Roxy works 40 hours per week for 52 weeks during the year. Each time she dog sits on the weekend, she earns $75. Use this information about Roxy to complete the statements. Type the correct answer in each box. Use numerals instead of words. Roxy’s annual income from her new employer before taxes will be $ . Her bimonthly pay before taxes will be $ . To reach Roxy’s yearly pretax income goal of $63,300, she will need to dog sit at least times.
Answer:
12 times
Step-by-step explanation:
first, find out how much she makes weekly.
40 (hours per week she works * 30 ($ she will earn per hour)
40 * 30 = 1200 per week
for 52 weeks so multiply that by her weekly pay
multiply her weekly pay (1200) by the weeks she works annually (52)
52 * 1200 = 62,400
she makes just $62,400 (annually, before taxes) with her new employer
subtract how much more money she needs
62,400 - 63,300 = -900
she needs 900 dollars
divide by the money she makes on weekends (for dog sitting)
900/75 = 12
she will need to dog sit at least 12 times to make approx. $63,300 annually, before taxes.
hope this helps:)
Garrett needs 3 gallons of fruit juice to make punch.
He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.
Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.
Answer:
3 of each gallon
Step-by-step explanation:
It worked for me on ttm
Answer:
4 of 1/3 and 1 of 1/6
Step-by-step explanation:
5/6+2/3=9/6
9/6+4/3=17/6
17/6+1/6=18/6
18/6=3
What is the area of the figure?
Answer:
33\(\frac{1}{2}\)
Step-by-step explanation:
Calculate the area of the large figure by multiplying the length and the width (7\(\frac{1}{4}\)*6). Then, calculate the area of the smaller figure (5*3\(\frac{2}{3}\)). Finally subtract the area of the smaller figure from the area of the larger figure. ((7\(\frac{1}{4}\)*6)-(5*3\(\frac{2}{3}\))
Hope this helps!
10. The set of prime numbers greater than 11 with the cardinality of 5.
The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}
How to determine the setFrom the question, we have the following parametes that can be used in our computation:
Set = prime numbers
Cardinality = 5
The cardinality implies that the number of elements in the set is 5
5 prime numbers greater than 11 are 13, 17, 19, 23, 29
Hence, the set is {13, 17, 19, 23, 29}
Read more about set at
https://brainly.com/question/24713052
#SPJ1
The table shows the prices for the same cereal, sold in different weights. Which size box is the best buy, in terms of price per ounce?
A. 9 oz
B.18 oz
C.28 oz
D.38 oz
Answer:
c
Step-by-step explanation:
ESPERO TE A YDUE :)
1 4/5 as a mixed number!
Answer: 9/5
Step-by-step explanation:
You and your friend each deposit $50 in separate savings accounts. Your account earns 4% simple annual interest. Your friend’s account earns 6% simple annual interest. How long does it take for you to earn $12 in interest? How long does it take for your friend to earn $12 in interest?
I need help! Needs answers quick
I can earn simple interest $12 in 6 years and My friend can earn simple interest $12 in 4 years.
What is simple interest?
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest. Because simple interest doesn't compound, a creditor will only pay interest on the principal sum, and a borrower will never have to pay interest on the interest that has already accrued.
Principle = $50
Rate of Interest I1 = 4%
Interest = $12.
Interest = \(\frac{PNR}{100}\)
=> 12 = \(\frac{50\times 4\times N}{100}\)
=> N = \(\frac{12}{2}= 6\) years.
Rate of Interest I2 = 6%
=> 12 = \(\frac{50\times 6\times N}{100}\)
=> N = \(\frac{12}{3}\) = 4 years.
Hence I can earn $12 in 6 years and My friend can earn $12 in 4 years.
To learn more about simple interest refer below link
https://brainly.com/question/25793394
#SPJ1
FOR 15 POINTS!! Select one of the Theorems from section 2.2 and do the following:
1. Explain why you chose to explore that theorem.
2. Write down the formal definition of the theorem.
3. Explain the theorem in your own words.
4. Find or create an example with new numbers and explain how/why it works.
Here are the 4 Theorems you can choose from:
1. Angle Sum Theorem
2. Third Angle Theorem
3 Exterior Angle Theorem
4. Corollary of Exterior Angle Theorem
In response to the stated question, we may state that We know that these two angles are complimentary since their total is 90 degrees.
what are angles?An angle is a form in Euclidean geometry that is composed of a pair of rays, known as such angle's sides, that meet at a center point known as the angle's vertex. Two rays may merge to generate an angle in the plane in which they are located. An angle is formed when two planes collide. They are known as dihedral angles. In plane geometry, an angle is a potential arrangement of two rays or lines whose share a termination. The English term "angle" is derived from the Latin word "angulus," which means "horn." The apex is the point in which the two rays, often known as the angle's sides, converge.
Angle Sum Theorem formal definition:
The total of the three interior angles of a triangle is always equal to 180 degrees.
The Angle Sum Theorem states:
According to the Angle Sum Theorem, the sum of a triangle's internal angles is always equal to 180 degrees. In other terms, using new numbers:
Consider a triangle having three angles of 70 degrees, 60 degrees, and 50 degrees. The Angle Sum Theorem states that the sum of these angles should be 180 degrees.
\(70 + 60 + 50 = 180\\90 + x + y = 180\sx + y = 90\)
We know that these two angles are complimentary since their total is 90 degrees.
To know more about angles visit:
https://brainly.com/question/14569348
#SPJ1
There is a ratio of 5 apples to 3 pears in a basket. There are 24 pears in the basket. How many apples are in the basker?
Answer:
There are 40 apples in the basket.
This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.
I hope this helped you, have an amazing day! :)
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
Answer:
39 3/8 ft ^2
Step-by-step explanation:
To find the area of a rectangle, multiply the length times the width.
A = l*w
= 7 1/2 * 5 1/4
Change the mixed numbers to improper fractions.
A = 15/2 * 21/4
=315/8
Change back to a mixed number.
8 goes into 315 39 times with 3 left over.
= 39 3/8
Answer:
Area = 39.375 ft²
(you can round to 39.4)
Step-by-step explanation:
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
7 1/2 = 7.5 ft
5 1/4 = 5.25 ft
Area = L x W
Area = 7.5 x 5.25
Area = 39.375
5 is 1/2% of what number
Help with this question?
Answer:
a.18%
b.68%
Step-by-step explanation:
for a you need to multiply 2 to get 18 out of 100 to get 18% and for b you need to multiply 4 to get 68 out of 100 to get 68%