1.) You are making 6 quarts of fruit punch for a party. You want the punch to contain 80% fruit juice. You have bottles of 100% fruit juice and 20% fruit juice. How many quarts of 100% fruit juice and how many quarts of 20% fruit juice should you mix to make 6 quarts of 80% fruit juice?2.) A business center charges a flat fee to send faxes plus a fee per page you send one fax with 4 pages for $5.36 and another fax with 7 pages for $7.88.Find the flat fee and the cost per page to send a fax.
Answers
The quarts of the two different fruit juices and, the flat and per page fee is required.
The number of quarts of 100% fruit juice is 4.5.
The number of quarts of 80% fruit juice is 1.5.
The flat fee is $2 and the per page fee is $0.84.
Let be the number of quarts of 100% fruit juice
and be the number of quarts of 20% fruit juice
The two fruit juices combine to form 6 quarts of fruit juice
The mixture ratios will be
Subtracting the equations we get
The number of quarts of 100% fruit juice is 4.5.
The number of quarts of 80% fruit juice is 1.5.
Let be the number of pages
be the total cost.
The ordered pairs are
and
Finding equation of line
The flat fee is $2 and the per page fee is $0.84.
Learn more:
Change the percents to decimals (.8, 1, and .2)
To model 6 quarts of 80% juice, write as 6(.8)
To model an unknown amount of 20% juice, write as x(.2)
Since there will be a total of 6 quarts, the amount of 100% juice must be 6 quarts minus the amount of 20% juice, which I called 'x'.
Therefore, to model the amount of 100% juice, write it as (6-x)(1)
You can use these to make the equation x(.2)+(6-x)(1)=6(.8)
.2x+6-x=4.8
-0.8x+6=4.8
-0.8x=-1.2
x=1.5
This is the amount of 20% juice. To find the amount of 100%, subtract 1.5 from 6.
6-1.5=4.5. This is the amount of 100% juice to use.
Question 2: Find the flat cost and cost per page if 4 pages costs $5.36 and 7 pages costs $7.88.
Since we know that the flat cost is the same in both, we can model it with the variable 'y'
Also, since the cost per page is the same in both, we can model it with the variable 'x'
Therefore, we know that y+4x=5.36 and that y+7x=7.88
We can use the elimination method to solve for x. To do that, we must have one equation with y and one with -y.
Multiply the first equation by -1 to get -y-4x=-5.36
Eliminate the y's and add the other two
-y-4x=-5.36
y+7x=7.88
3x=2.52
Divide both sides by 3
x=.84
Then, plug x back into one of the equations
y+4(.84)=5.36
Simplify
y+3.36=5.36
Subtract 3.36 from both sides
y=2
Therefore, the flat rate $2 and the cost per page is $0.84
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Two number have a sum of 71 and a difference of 37
Answers
Answer:
chocolates tortes are left.
Step-by-step explanation:
As per the given statement:
Chef prepared total number of chocolates tortes for a dinner party = 5
and
The guest consumed the number of chocolates tortes =
We have to find the how many tortes are left.
Remaining number of chocolates tortes are left =
Therefore, chocolates tortes are left.
Number of tortes left after consumed by guest is,
⇒ 43/16
We have to given that,
A chef prepared five chocolate tortes for a dinner party.
And, the guest consumed 2 5/16 tortes.
Hence, Number of tortes left after consumed by guest is,
⇒ 5 - 2 5/16
change into improper fraction,
⇒ 5 - 37/16
⇒ (80 - 37)/16
⇒ 43/16
Therefore, Number of left tortes is, 43/16
Learn more about the subtraction visit:
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b. quiz
c. quick check
d. test
Which of the following assessment types has the least effect on your overall grade?
a. quick check
b. Quiz
c. sample work submission
d. test
Which resource provides an opportunity to evaluate your readiness for a major assessment?
a. reflection
b. teach let tutorial
c. illustrated glossary
d. Virtual Geoboard
Which resource provides immediate feedback to you and your teacher on your work with problems within a lesson?
a. Online practice
b. Discussion
c. teachlet tutorial
d. Textbook answer key
Answers
1) D - Test
2) C - Sample Work
3) A - Reflection
4) A - Online Practice
Further Explanation
Assessments that have the greatest effect on the overall grade of a student are summative tests. They measure the achievement of students based on the attainment of the learning objectives and given at the end of a chapter or unit. Typically, tests have a bigger portion or coverage, hence, given more weight compared to other assessments.
Quizzes and quick check are fast assessments that are given within the lesson to ensure understanding. They give quick feedback before the class moves on to the next part of the lesson. Discussions are verbal formative assessments that give teachers information about what a student knows or doesn't know. It is also a way to correct any misconceptions or push students more to develop their higher order thinking skills.
Sample work submission is usually not graded but is used as a reflection tool. This allows the student to evaluate his or her progress in the subject.
Students should do a reflection to evaluate their readiness for a major assessment. This self-assessment will give them ideas about what they are good at and what topics they need to focus on.
Immediate feedback may be obtained by online practice. These are usually short and quick assessments that can give a snapshot of what the student knows within the lesson. It is an example of a formative assessment.
Learn More
- Bloom's Taxonomy brainly.com/question/6187029
- Assessments brainly.com/question/12851094
Keywords: assessment, quiz, test, discussion, reflection, quick check
1.D
2.C
3.C
4.A. because it said which resource provides immediate feedback to you and your teacher on your homework.
good luck
Answers
hope my answer helped!!
Answers
Answer:
y=-1.5
Step-by-step explanation:
the equation is y=1/2x, and x=3. -3*1/2=-1.5
x=-17 17
X=-2+25
x=-12 13
Answers
Answer:
it would be the last answer
Step-by-step explanation:
what is the best measure of center for this data set (FQ, mean, median, or range) , and its value is (3, 4, 4.5, or 6.8)
Answers
Answer: The best measure of center for this data set is median , and its value is 4.5 .
Step-by-step explanation:
The given data set : {5, 3, 5, 30, 4, 5, 4, 3, 4, 5}
We can see that it has an outlier (i.e. 30) which is extremely large from all the values.
We know that to measure the center of tendency we measure one of three things arranged in ascending order:
Mode< Median <Mean
But mean gets affected by outlier value.
Then the best measure of center for this data set must be Median.
For this, arrange given data set in order:
{3 ,3 ,4 ,4 ,4 ,5 ,5 ,5 ,5 ,30 }
Since , the number of data values = 10 (even)
Then , Median = Mean of two middle most numbers
Hence, the best measure of center for this data set is median , and its value is 4.5 .