What is a solution to (x + 6)(x + 2) = 60?
A. x = −6
B. x = −4
C. x = 4
D. x = 12
D.x=12 this is your answer
Write a real-life situation that can be modeled by the expression 5 x 3/4
3/4 is a fraction
If n + 3 = 13, then n = 4.33333... B
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
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/yearTherefore, 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 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
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
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?
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.
Find factors of 15y^2-50y+35=
Can u simplify and convert these please and thank you
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.
jeremy can type 220 words in 4 minutes what is the unit rate and what does mean and to your answers in the box
what is the value of n (9x23) +(3 ×39) - 28 = n
match the top cards to the bottom cards to show doubles plus 1
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
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?
find the equation of the passing through p(4,6) which is parallel to the line with equation 4x-2y+6=0
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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Which line on the graph below has a slope
A towns election commitee expects 5 out of every 7 registered voters to vote in the next
use pictures and numbers to show all the ways to take apart 8
in your own words explain the steps you would need to take to find slope from data in a table
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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Evaluate the function t(x)=19-x, when x=-3
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
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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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
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
Solve the equation.
5p/7 - 18 = -43
A. -35
B. -31
C. -85 2/5
D. -50
Please explain your answer.
Answer:
-35
Step-by-step explanation:
In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry, 22 had taken chemistry and physics course, and 14 had taken all the three courses. find how many had taken one course only.
Final answer:
To find the number of students who took only one course among mathematics, chemistry, or physics at a university, we use the principle of inclusion and exclusion. After calculating, we find that 154 students had taken exactly one course.
Explanation:
To determine how many university students had taken only one course among mathematics, chemistry, and physics, we can use the principle of inclusion and exclusion. From the information given, we know the following:
Students who took mathematics (M): 64
Students who took chemistry (C): 94
Students who took physics (P): 58
Students who took both mathematics and physics (M∩P): 28
Students who took both mathematics and chemistry (M∩C): 26
Students who took both chemistry and physics (C∩P): 22
Students who took all three courses (M∩C∩P): 14
Let's define S as the number of students who took only a single course. We can calculate S using the formula:
S = (M + C + P) - (M∩P + M∩C + C∩P) + M∩C∩P
Substituting the values we get:
S = (64 + 94 + 58) - (28 + 26 + 22) + 14
S = 216 - 76 + 14
S = 140 + 14
S = 154
Therefore, 154 students had taken only one course.
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
Answer:
D!!
Step-by-step explanation:
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
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.
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.
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?
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.
What is the equation of the line in standard form? (-3, 1) (3, 2)
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
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)
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