John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality will tell him at least how many more points he needs to pass the class?

A. 72 + 78 + 70 + x ≤ 289 B. 72 + 78 + 70 + x > 289 C. 72 + 78 + 70 + x < 289 D. 72 + 78 + 70 + x ≥ 289

Answers

Answer 1

Final answer:

John needs to use the inequality 72 + 78 + 70 + x ≥ 289 to determine the minimum number of additional test points required to pass his math class.

Explanation:

The student, John, needs to determine how many more test points he requires to pass his math class. Given his current test scores, the inequality to represent this scenario should account for the minimum points he needs to achieve the threshold.

Therefore, the inequality should include an 'at least' condition, meaning the total points must be greater than or equal to the pass mark of 289. Adding his current scores of 72, 78, and 70 gives a total of 220, so the inequality will include an unknown variable, x, which represents the additional points needed. The correct inequality is D. 72 + 78 + 70 + x ≥ 289.

Answer 2

Final answer:

John needs to use the inequality 72 + 78 + 70 + x ≥ 289, which simplifies to x ≥ 69, to determine he requires at least 69 more points to pass. Option D

Explanation:

John needs to determine how many more points he requires to pass his math class, with a target score of at least 289 points. He already has test scores of 72, 78, and 70. To find out the least number of additional points he needs, he should use an inequality that allows for the sum of his scores and an unknown quantity x (representing the points he needs) to be at least as great as 289. This is represented by the inequality 72 + 78 + 70 + x ≥ 289. This can be simplified to x ≥ 69, which means John needs at least 69 more points to pass the class.

Related Questions

Find factors of 15y^2-50y+35=

Answers

First, factor out the common factor 5.

15y^2-50y+35 =

= 5(3y^2 - 10y + 7)

Now we need to factor the trinomial.
3 can be factored as 3 * 1
7 can be factored as 1 * 7 or (-1) * (-7)
Since the middle term is negative, we need to use -1 and -7 as the factors of 7

= 5(3y - 7)(y - 1)

I would first factor out that 5: 15y^2-50y+35 = 5(3y^2 - 10y + 7)
and then focus on factoring 3y^2 - 10y + 7. Looking at the first and last coefficients 3 and 7, I'd form possible rational roots, which would include 7/3 and -7/3.

Using synthetic division, I'd determine whether either 7/3 or -7/3 is a root of 3y^2 - 10y + 7:

____________
(7/3) / 3 -10 7
7 -7
--------------------
3 -3 0

Since there is no remainder, I'd conclude that 7/3 is a root of 3y^2 - 10y + 7, and that (3x-7) is a factor. Look at the coefficients 3 -3; they tell us that (3x-3) is another factor.

Now let's take back that '5' we factored out earlier.

Factors of 15y^2 - 50y + 35 are 5, (3x-7) and (x-1).

Multiply these 3 factors together as a check. I found that (3x-7)(x-1) comes out to 3x^2 - 10x + 7, and that multiplying this by 5 produces

15y^2 - 50y + 35, which is the expression we started with.

What is a solution to (x + 6)(x + 2) = 60?

A. x = −6
B. x = −4
C. x = 4
D. x = 12

Answers

THE SOLUTION FOR THIS QUESTINS WILL BE
X=4, -12

D.x=12 this is your answer

Which line on the graph below has a slope

Answers

The correct answer is the yellow line

Q is ur answer, horizontal lines have a slope of zero however only vertical lines have undefined slope

Ted used a $150 check to pay for some books. Where in his checkbook register should he write this amount? in the PAYMENT or WITHDRAWAL AMOUNT column in the DEPOSIT AMOUNT column in the BALANCE column in the FEE column NextReset

Answers

I would think that the answer would be the payment column. It wouldn't be the withdrawal amount column because he is not taking the money out of a bank account.

Answer:

Ted should write the amount in the PAYMENT column of the checkbook register.

Step-by-step explanation:

When we want to withdraw money from the account then we need to mention the amount in the WITHDRAWAL column of the checkbook register.

When we want to deposit money to the account then we need to mention the amount in the DEPOSIT column of the checkbook register.

When we want to pay money to the someone else's account then we need to mention the amount in the PAYMENT column of the checkbook register.

So, Ted must write the amount in the PAYMENT column of the checkbook register.

Can u simplify and convert these please and thank you

Answers

5 free points just claimed. thx :D

Solve the equation.
5p/7 - 18 = -43

A. -35
B. -31
C. -85 2/5
D. -50

Please explain your answer.

Answers

Hello! So the first thing we need to do is add 18 to both sides. When you do that, it should be 5p/7 = -25. Now, we must multiply both sides by 7/5 to isolate the “p”. -25 * 7/5 is -35. If you want to check to make sure it’s right, plug in the alleged “p” value to make sure it’s right. When we substitute “p” for -35 and we solve it by doing order of operations, we get -43. The answer is A: -35.

Answer:

-35

Step-by-step explanation:

find the equation of the passing through p(4,6) which is parallel to the line with equation 4x-2y+6=0

Answers

well, a line parallel to another, will have the same slope as the other, therefore, if this line is parallel to 4x-2y+6=0, then it must have the same slope, so, hmmm what is it anyway?

well, let's solve 4x-2y+6=0 for "y".

[tex]\bf 4x-2y+6=0\implies 4x+6=2y\implies \cfrac{4x+6}{2}=y \\\\\\ \cfrac{4x}{2}+\cfrac{6}{2}=y\implies \stackrel{slope}{2}x+3=y[/tex]

so, notice, the equation now in slope-intercept form, we can see what its slope is, alrite. So we're looking for a line whose slope is 2 and goes through 4,6.

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 4}}\quad ,&{{ 6}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-6=2(x-4) \\\\\\ y-6=2x-8\implies y=2x-2[/tex]

Final answer:

The equation for the line passing through point P(4,6) that is parallel to the given line 4x - 2y + 6 = 0 is y = 2x - 2.

Explanation:

The subject of the question is climbing up a function of mathematics known as linear algebra. The equation of the original line given is 4x - 2y + 6 = 0. First, you need to rearrange the equation to the slope-intercept form to identify the slope of the line, which gives you y = 2x + 3. Because parallel lines have identical slopes, the line passing through point P(4,6) will have the same slope, so the equation would be y = 2x + b. To find the exact equation of the line, substitute the coordinates of point P into this equation and solve for 'b', which gives you 6 = 2*4 + b. Thus, solving for 'b' we get b = -2. Therefore, the equation of the line that passes through point P(4,6) and is parallel to the given line is y = 2x - 2.

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Write 7.085 × 10-14 as an ordinary number 0.000 000 000 007 085 0.000 000 000 000 708 5 0.000 000 000 000 0708 5 0.000 000 000 000 0070 85

Answers

7.085x10-14 would simplify to 70.85-14, which equals 56.85

The ordinary number for the given Scientific notation is 0.00000000000007085.

Given that, [tex]7.085\times10^{-14}[/tex].

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.57\times10^7[/tex].

The given number can be written as [tex]\frac{7.085}{10^{14}}[/tex]

= 0.00000000000007085

Therefore, the ordinary number for the given Scientific notation is 0.00000000000007085.

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jeremy can type 220 words in 4 minutes what is the unit rate and what does mean and to your answers in the box

Answers

The question here is "how many words can Jer type in 1 minute?"

220 words
-------------- = 55 wpm
4 minutes

What is the domain and the range of the relation represented by the ordered pairs? {(6,6),(−1,3),(3,6),(0,4)}{(6,6),(−1,3),(3,6),(0,4)} Select each correct answer.

Answers

Hello,

Let's review: The domain is all the possible x values of a relation/function. To get the domain, we look at the x values in the ordered pairs.

The domains are: {-1, 0, 3, 6} - as you can see these are the x values of each pair.

Let's review: The range is all the possible y values in a relation/function. To find the rang, we look at the y values of the pairs.

The ranges are: {3, 4, 6} - notice how there are two "6" in those pairs, and when writing the range, you don't need to repeat the number if it's already written.

I hope this helps! =)

May

match the top cards to the bottom cards to show doubles plus 1

Answers

This question is all about doubles. The given bottom cards 5 2 3 4 and the top cards are 1 4 3 2.

The problem is asking to match the top cards to the bottom ones then adding 1 to get the doubles.

So 1 should be corresponding to two. Since 1 + 1 = 2

4 should be corresponding to 5. Since 4 + 1 = 5

3 should be corresponding to 4. Since 3 + 1 = 4

And lastly, 2 should be corresponding to 3. Since 2 + 1 = 3

If n + 3 = 13, then n = 4.33333... B

Answers

Solve the equation, N=13-3=10

What is X+.07x=44.94

Answers

X+.07x=44.94
Combine like terms.
1.07x=44.94
Divide both sides by 1.07 to isolate the variable.
x=42

The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.

Answers

The goal for the 5K charity race is to raise 55, 000. The charity makes 40.00 for every entry. Additionally , the charity received 10,000 dollars in donations which brings the amount needed to 45,000 . They would need 1,125 entries to make their goal.

If the length between points on a map is 6 inches, 8 inches, and 9 inches, and the scale is one inch equals 5 miles, find the distances in miles.

a.) 1.2, 1.6, and 1.8 miles
b.) 11, 13, and 14 miles
c.) 30, 40 and 45 miles

Answers

c) because you multiply the conversion by the number of inches. Therefore, 6x5=30, 8*5=40, and 9*5=45

Answer:

Option c is correct

Distance in miles are; 30, 40, 45 miles

Step-by-step explanation:

As per the statement:

If the length between points on a map is 6 inches, 8 inches, and 9 inches.

It is also given that:

1 in. = 5 miles

We have to find the distance in miles:

For 6 inches.

1 in. = 5 miles

6 in. = [tex]6 \cdot 5 = 30[/tex] miles

Similarly, for 8 inches:

8 inches = [tex]8 \cdot 5 = 40[/tex] miles

For 9 inches:

9 inches = [tex]9 \cdot 5 = 45[/tex] miles

Therefore, distance in miles are; 30, 40, 45 miles

Write a real-life situation that can be modeled by the expression 5 x 3/4

3/4 is a fraction

Answers

Hello there! You can do something like this:
Kelly has 3/4 cup of a bottle of water. She likes to drink 5 times the amount of that every day. How many cups of water does Kelly like to drink every day?
Hope this helped you!
Good luck!

Bob has
3/4 cup of flour but he would need to use it 5 times this week..
How many cups of flour would Bob need each day?

There are 912 yellow chairs and blue chairs altogether in an auditorium. The blue chairs are arranged in 36 rows with 12 chairs in each row. The yellow chair are arranged in rows of 20. How man rows of yellow chairs are there?

Answers

You would do 36X12= 432 then 912 - 432=480. then you would 480÷20=24. So there are 24 rows of yellow chairs

First you have to do 36 times 12 which is 432, then subtract that from the total which is 480 then divide that by 20 and you get 24. Plz give this a thanks

which expression would give the thirteenth term Given the sequence 8, 16, 32, 64, ...,
813
8 · 213
8 · 212 ? 813 8 · 213 8 · 212

Answers

if you notice, 8, 16, 32, 64 <--- 8 * 2 is 16, 16 * 2 is 32 and so on.

so, you get the next term's value by simply multiplying the "current term" by 2. So is a geometric sequence then.

therefore, the "common ratio" or multiplier is 2, and the first term's value is 8.

[tex]\bf n^{th}\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1\\ n=13 \end{cases} \\\\\\ a_{13}=8\cdot 2^{13-1}\implies a_{13}=8\cdot 2^{12}\implies a_{13}=8\cdot 4096 \\\\\\ a_{13}=32768[/tex]

if (7,2) is an ordered pair of the function f(x) which of the following must be an ordered pair of the inverse of f(x)?

(2,7)
(2,2)
(7,2)
(7,7)

Answers

All you have to do is to reverse the order of the x and y components of (7,2):
(2,7).

Answer:

(2,7)

Step-by-step explanation:

Here is an example just to show that it works.

3x+2y=25

3(7) + 2(2) = 21 + 4 = 25

3y+2x=25

25-2x=3y

25/3 - 2/3x = y

25/3 -2*2/3=25-4/3=21/3=7

A batch of chicken required 4 6⁄7 cups of flour. If a fast food restaurant was making 3 3⁄4 batches, how much flour would they need?

Answers

The fast food restaurant would need 255/14 cups of flour for 3 3/4 batches of chicken.

To find out how much flour a fast food restaurant needs for 3 3/4 batches of chicken, let's start by calculating the flour required for one batch.

One batch requires 4 6/7 cups of flour.

To convert the mixed number to an improper fraction:

4 6/7 = (4 * 7 + 6)/7 = 34/7 cups

So, one batch requires 34/7 cups of flour.

Now, let's find out how much flour is needed for 3 3/4 batches:

3 3/4 batches = (3 + 3/4) batches

To convert the mixed number to an improper fraction:

3 3/4 = (3 * 4 + 3)/4 = 15/4 batches

Now, we multiply the amount of flour needed for one batch by the number of batches:

15/4 * 34/7 = (15 * 34)/(4 * 7) = 510/28

Now, we simplify the fraction:

510/28 = (510 ÷ 2)/(28 ÷ 2) = 255/14

So, the fast food restaurant would need 255/14 cups of flour for 3 3/4 batches of chicken.

The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x

what is the value for x in the fraction

Answers

i think the answer to your question is 11.11 I hope this helps

Answer:

The required number in the fraction is x=11

Step-by-step explanation:

Given : The repeating decimal, 0.27..., is converted to the fraction [tex]0.27....=\frac{3}{x}[/tex]

To find : What is the value for x in the fraction ?

Solution :

Let [tex]y=0.272727...[/tex] ....(1)

Multiply both side by 100,

[tex]100y=27.2727...[/tex] .....(2)

Subtract (1) and (2),

[tex]100y-y=(27.2727....)-(0.272727...)[/tex]

[tex]99y=27[/tex]

[tex]y=\frac{27}{99}[/tex]

[tex]y=\frac{3}{11}[/tex]

On comparing with [tex]0.27....=\frac{3}{x}[/tex]

The value of x is 11.

Therefore, The required number in the fraction is x=11.

A towns election commitee expects 5 out of every 7 registered voters to vote in the next

Answers

Where is the rest of the problem?

in your own words explain the steps you would need to take to find slope from data in a table

Answers

Answer:

see the explanation

Step-by-step explanation:

we know that

To calculate the slope we need to take two points from data in a table

point 1 (x1,y1) and point 2(x2,y2)

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values and solve for m

The slope formula can be applied to find the slope from data in a table using any two set of points given on the table.

First, select any two pair of points given in the table. For example, let's assume the two set of points selected are:

[tex](a, b) $ and $ (c, d)[/tex]

Use the slope formula which is:

[tex]Slope(m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The slope is the change of y over the change of x.

To use the slope formula:

Let,

[tex](a, b) = (x_1, y_1)\\(c, d) = (x_2, y_2)[/tex]

Then, plug in the values into the formula and solve.

The value you get is the slope of the data represented by the table.

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There are 130 calories in a cup of whole milk and only 74 in a cup of skim milk. In switching to skim milk, find the percent decrease in number of calories.

Answers

Do 130 divided by 74 and you will probably get 1.74 and round it off

the difference of a given month's rainfall from the average monthly rainfall is called the deviation. What is the deviation for each month shown?
average monthly rainfall 3.6
given month may 2 3/5; june 7/8; July 4 1/4

Answers

If you add all of them up you will get 43/2

Answer:

Deviation:

may : 1

june: 0.875

july: 0.65

Step-by-step explanation:

It's given that the difference of a given month's rainfall from the average monthly rainfall is called the deviation .

To find : deviation for each month: may 2 3/5; june 7/8; July 4 1/4:

Solution :

Average monthly rainfall = 3.6

Rainfall in may = [tex]2\frac{3}{5}[/tex] = 2.6

Deviation = Average monthly rainfall - month's rainfall ( may ) = 3.6 - 2.6 = 1

Rainfall in june = 3.6 - 0.875 = [tex]\frac{7}{8}=2.725[/tex]

Deviation = Average monthly rainfall - month's rainfall ( june ) = 0.875

Rainfall in july = [tex]4\tfrac{1}{4}=\frac{17}{4}=4.25[/tex]

Deviation = Average monthly rainfall - month's rainfall ( july ) = 4.25 - 3.6 = 0.65

What is the equation of the line in standard form? (-3, 1) (3, 2)

Answers

Final answer:

The equation of the line passing through the points (-3, 1) and (3, 2) in standard form is (1/6)x - y = 5/6.

Explanation:

The equation of a line in standard form is Ax + By = C, where A, B, and C are constants. To find the equation of the line passing through the points (-3, 1) and (3, 2), we need to find the values of A, B, and C.

To do this, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. First, let's find the slope using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

m = (2 - 1) / (3 - (-3)) = 1/6

Now, we can substitute the slope (m) and one of the given points (x, y) into the slope-intercept form to find the y-intercept (b). Using (-3, 1) as the point:

1 = (1/6)(-3) + b

Simplifying, we get:

b = 5/6

Now, we can substitute the values of m and b into the standard form equation to get:

(1/6)x - y = 5/6

what is the value of n (9x23) +(3 ×39) - 28 = n

Answers

9*23=207
3*39=117
117+207=324
324-28=296

(9*23)+(3*39)-28
207+117-28
324-28
296

If josh spends 4,000 a year on tuition and fees, 1,200 a year on books, and forgoes earning 10,000 a year, how much will his four year degree cost

Answers

his four years of college will cost $8800

Final answer:

The total cost of the four-year degree for Josh, when considering tuition and fees, book costs, and his foregone earnings, would be 60,800 dollars.

Explanation:

The cost of a four-year degree would be the sum of tuition and fees, book costs, and forgoing potential earnings per year, multiplied by the four years of the degree. Let's break it down:

Tuition and fees cost: 4000 dollars/yearBook costs: 1200 dollars/yearForgone earnings: 10000 dollars/year

Therefore, the annual cost would be the sum of these, which is 4000 + 1200 + 10000 = 15200 dollars/year. Then we multiply this by the 4 years, 15200 * 4 = 60800 dollars. So, the four-year degree would cost Josh 60800 dollars, considering the provided expenses and forgone earnings.

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If you were asked to play a game in which you tossed a fair coin three times and were given $2 for every head you threw, how much would you expect to win on average?

Answers

You would expect to win $3 on average over many games. This is a probability problem, and can be solved using the following math: (1/2)*2 + (1/2)*2 + (1/2)*2 = 3 There is always a 50/50 chance you will get two dollars, so flipping the coin once averages $1 wins, while three times is three times that.

Bank get most of the money to loan out to people from
A taxes charged by banks
B the government
C other banks
D people that deposit money in the bank for safekeeping

Answers

correct answer: "D people that deposit money in the bank for safekeeping"

The bank uses people's savings to loan money. They usually keep a fraction of what they have in store in case the person that has the money in the bank ask it back. For example, if $5000 are deposited in the bank, for savings, the bank could lend out $4500 of it.
The taxes charged by banks are used for the bank keeping.

Answer:

D!!

Step-by-step explanation:

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