We can simplify the inequality to:
y > (-1/5)*x - 2
From that, we conclude that the correct option is the last one.
Which is the graph of the given inequality?
Here we have the inequality:
5y + x > -10
If we isolate y, we get:
y > (-10 - x)/5
y > (-1/5)*x - 2
Then the inequality will be a dashed/dotted line with a negative slope, that passes through the point (0, -2), such that the region above and to the right of the line is shaded.
From that we conclude that the correct option is the last one:
"Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray."
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Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,950?
Answer:
Step-by-step explanation:
A=P(1+r/c)^(ct), where a is final value, P is the initial value or principle, r is the interest rate, and c is the number of compounding periods in a year.
ln(A/P)/ln(1+r/c)=ct so
t =(ln(A/P)/(cln(1+r/c)), given A=13950, P=6700, r=0.052, c=4
t=(ln(13950/6700))/(4ln(1.013))
t=14 years
Answer:
14
Step-by-step explanation:
Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money
to pay his living cost at a college, which is $3,000 a year. There are two options: a bond that pays 12% and
a CD that pays 5%. How much should he invest in the bond? [Please round your answer to 2 decimal places.]
Answer: $7142.86
Step-by-step explanation:
Let the amount to be invested in the bond be represented by y.
Based on this, the amount to be invested in the CD will be: = 50000 - y.
From the information given, yearly interest on bond is 12%, this will be:
= 12% × y = 0.12 × y = 0.12y
Also, interest on CD will be:
= 5% × (50000 - y)
= 0.05(50000 - y)
Then, the equation to get the amount to be invested in bond will be:
0.12y + 0.05(50000 - y) = 3000
0.12y + 2500 - 0.05y = 3000
0.12y - 0.05y = 3000 - 2500
0.07y = 500
y = 500/0.07
y = 7142.8571
y = 7142.86
The amount to be invested in bond will be $7142.86
Find an equation of a line with slope -4 and y-intercept 9. y =
Answer:
Y= -4X+9
Step-by-step explanation:
solve the equation by the help of the standard equation Y = MX + C
where M is the slope and C is the Y intercept
A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?
Answer:
Number of children in theater = 94
Number of students = 46
Number of adults in theater= 47
Step-by-step explanation:
Total seating capacity in the theater = 187
Let us assume the number of students in the theater = m
and assume the number of children in the theater = 2k
So, the number of adults in theater = Half of number of children = 2k/2 = k
⇒ Number of ( Adults + Children + students) = 187
⇒ k + 2k + m = 187, or 3k + m = 187
Step-by-step explanation:
what is the value of c?
Answer: C= 26
Step-by-step explanation:
24^2+10^2=26^2
Find the percent change from the first value to the second.
40;72 (show how you got your answer for a brainliest)
Answer:
80% increase
Step-by-step explanation:
There are two ways to do this
The first way is to set up a percent proportion
[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]
To find x, we can do:
x = [tex]\frac{72 * 100}{40}[/tex]
x = [tex]\frac{7200}{40}[/tex]
x = 180
72 is 180% of 40
There is an 80% increase.
The second way to do it (the way I find easier) is to use benchmark fractions:
We look at 40 and 72 and realize that (40 * 2) - 8 = 72
So 200% of 40 - 8 = 72
Then, we find out what percent of 40 is 8.
10% of 40 is 4
so that means 20% of 40 is 8 (10% * 2 = 4 * 2)
Then we do:
80 - 8 = 72
200% - 20% = 180%
72 = 180% of 40
Which is an 80% increase
Let me know if you have any questions
These are 2 questions please help me
Answer:
Step-by-step explanation:23
5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?
Answer:
3/4 a pan
Step-by-step explanation:
2 - 1 1/4 = 3/4
two seperated into fourths would look like this
1/4 1/4 1/4 1/4
1/4 1/4 1/4 1/4
one seperated into fourths would look like this
1/4 1/4 1/4 1/4
so take one and one extra fourth away from two and you're left with
1/4 1/4 1/4
add that together and you have 3/4
i) Coordinates of point P
a) (1,1) b) (1,2) c) (2,1) d) (1,0)
ii) Coordinates of point Q
a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)
iii) Coordinates of point T
a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)
iv) (Ordinate of T) – (Abscissa of R)
a) -4 b) 4 c) 0 d) -2
v) (Abscissa of Q) – (Ordinate of S)
a) -4 b) 4 c) 2 d) -2
Given:
Five points P, Q, R, S ,T on a coordinate plane.
To find:
The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).
Solution:
From the given graph it is clear that the coordinates of given points are
P = (1,1)
Q = (-3,0)
R = (-2,-3)
S = (2,1)
T = (4,-2)
(i)
Coordinates of point P are (1,1).
Therefore, the correct option is (a).
(ii)
Coordinates of point Q are (-3,0).
Therefore, the correct option is (b).
(iii)
Coordinates of point T are (4,-2).
Therefore, the correct option is (c).
(iv)
Ordinate is y-coordinate and abscissa is x-coordinate.
Ordinate of T = -2
Abscissa of R = -2
(Ordinate of T) – (Abscissa of R) = -2 - (-2)
= -2 + 2
= 0
Therefore, the correct option is (c).
(v)
Abscissa of Q = -3
Ordinate of S = 1
(Abscissa of Q) – (Ordinate of S) = -3 - 1
= -4
Therefore, the correct option is (a).
What is the volume of the prism?
Answer:
Step-by-step explanation:
HELP ME!!!!!!!!!!!!!!
Answer:
i wanna say it would be 1,735-3%y
Find the GCE.
10rs, 35rst
expression equivalent to 3(7x + 9)
Answer:
21x + 27
Step-by-step explanation:
3(7x + 9)
21x+27is your answer
Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?
A. 1/3
B. 3/2
C. 1/4
D. 1/6
1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1
Answer:
The answer is 5/2X - 1/4. The remainder is 23/4.
ROBERT bought 2 packages of cookies for $6.00. How much would 3 packages of cookies cost?
Answer:
9.00$
Step-by-step explanation:
6 divided by 2 = 3 so each pakage cost 3$ so it would be 9.00$
The local news is conducting a poll of the residents' opinions regarding a new traffic law that is being proposed. At the end of a news segment, viewers had the opportunity to dial in or use social media to choose whether they agree or disagree with the law. A large sample size was represented, and this poll was repeated again one week later with similar results. When working with this data, what best applies?
Options :
a. The surveys are biased because people chose to respond or not.
b. Because of the large sample size, the results are most accurate of all members of the community.
c. The same sampling methods were used for both polls, demonstrating reliability.
Answer:
a. The surveys are biased because people chose to respond or not
Step-by-step explanation:
When surveys incorporates a large number of people of a whole population, coupled with the fact that subjects of the survey or research are not compelled to make a choice or air their opinion. In the scenario above, opinion about the new policy is to be expressed by a large audience whereby there is a high tendency that some will no interest in the news nor its content. Leaving only those audience who are more interested and likely the most affected by the policy to respond. This way there will be no distinction between those who disagree and those who fail to respond. It would be more advisable to employ a sample audience who are interested and woykd give a verdict on the policy.
What is the x- value of the midpoint between A (-8,-6) and B (0, 6)?
Answer:
Step-by-step explanation:
Take average of the x-coordinates of A and B.
(-8+0)/2 = -4
x-coordinate of midpoint = -4
The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.
Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).
Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.
The midpoint is that point of the line which has an equal distance from both ends of the line.
the x value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = - 4
Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.
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3. The 7th grade students took a survey about which pizza company the students
preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th
grade.
If 5 out of 8 students chose Papa John's, how many students chose Papa
John's? How many did not?
Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication
[tex]8x = 5*64[/tex]
Simplifying by 8
[tex]x = 5*8 = 40[/tex]
40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
On Monday morning, Mr. Descartes asked his Algebra II students whether they had gone to the carnival in town over the weekend.
"I did," said Kristen. "I went on the Teacups ride twice, the rollercoaster twice, and the Spinning Vortex once. I had a lot of fun for only $20."
"I went on those rides, too!" exclaimed Jorge. "Just once each on the Teacups and rollercoaster, but three times on the Spinning Vortex, all for $25."
"I did five Teacup rides," said Lakesha. "And two rollercoaster rides, and one Spinning Vortex. I spent $29."
Marc listed off the same rides. "Three Teacups for me, plus two rollercoasters, plus two rides on the Spinning Vortex, all for – "
"You don't need to say," interrupted Mr. Descartes. "I know how much you spent."
How much are the rides? How much did Marc spend
Answer:
Cost of one Teacup = $3
Cost of one Roller coaster = $4
Cost of one Spinning Vortex = $6
Marc spent = 3x + 2y + 2z = $29
Step-by-step explanation:
Let
Cost of one Teacup = x
Cost of one Roller coaster = y
Cost of one Spinning Vortex = z
In Kristen case -
2x + 2y + z = $20
In Jorge case -
x + y + 3z = $25
In Lakesha case -
5x + 2y + z = $29
In Marc case -
3x + 2y + 2z = ?
Now, we have
2x + 2y + z = $20 ......(1)
x + y + 3z = $25 ........(2)
5x + 2y + z = $29 .........(3)
Now,
Subtract equation (1) from equation (3), we get
5x + 2y + z - ( 2x + 2y + z ) = $29 - 20
⇒5x + 2y + z - 2x - 2y - z = $9
⇒3x = $9
⇒x = $3
Now,
Multiply be 2 in equation (2) , we get
2x + 2y + 6z = $50 ........(4)
Now,
Subtract equation (1) from equation (4), we get
2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20
⇒2x + 2y + 6z - 2x - 2y - z = $30
⇒5z = $30
⇒z = $6
Now,
Put the values of x and z in equation (2) , we get
$3 + y + 3($6) = $25
⇒$3 + y + $18 = $25
⇒y + $21 = $25
⇒y = $25 - 21
⇒y = $4
∴ we get
Cost of one Teacup = x = $3
Cost of one Roller coaster = y = $4
Cost of one Spinning Vortex = z = $6
Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29
For the past three years, Nigel has grown 1 1/5 inches each year. How many total inches has he grown in the past three years?
Answer: 3.6? I believe is the right answer.
:D
Step-by-step explanation: 1 1/5 times 3 is how I got 3.6
Answer:
3 3/5
Step-by-step explanation:
Nigel would have grown 3 3/5 inches in the past 3 years
( 6/5 x 3/1 )
( =18/5 )
and then you would be simplifying 18/5
and that's how you would get your answer 3 3/5
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please thank you:)
what is 4½ pls anwser
Answer:
9/2
Step-by-step explanation:
Answer:
4.5 or 9/2
Step-by-step explanation:
Perform the operation.
(9x2 + 6x – 7) + (-9x - 5)
PLS HELP ASAP PLS
Answer:
21
Step-by-step explanation:
(9x2 + 6x – 7) + (-9x - 5) = 21
Answer:
The answer is 21
Step-by-step explanation:
I searched it up.
find the value of y and (4x+8)°
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?
Answer:
7 sides
Step-by-step explanation:
120 + 130x = 180 * (x+1-2)
120 + 130x = 180x - 180
300 = 50x
x = 6
You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.
Answer:
7
Step-by-step explanation:
David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60
Answer:
$60
Step-by-step explanation:
3x20=60
Find the slope of the line passing through the points (-2,3) a
and
(-9,6).
===================================================
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-9-(-2))
m = (6-3)/(-9+2)
m = 3/(-7)
m = -3/7
This means each time you go down 3 units, you go to the right 7 units.
Slope = rise/run = -3/7
rise = -3 and run = 7
The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above
Answer:
4
Step-by-step explanation:
because variable is independent
the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help
Answer:
3
Step-by-step explanation:
9 divide by 3 is 3 itself so the answer is 3
Please help this is due today!
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
perdita is correct
Step-by-step explanation:
perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin