Cameron bought a used car for $4,500. He made a down payment of $1,200 and agreed to pay the remaining balance in monthly payments of $300 each.
Which equation can be used to find m, the number of months it will take Cameron to pay off his car? (7.10A)
F 4,500 = 1,200 + 300m
F 4,500 = 1,200 + 300m
G 4,500 = –300 + 1,200m
G 4,500 = –300 + 1,200m
H 4,500 = 300 + 1,200m
H 4,500 = 300 + 1,200m
J 4,500 = 1,200 – 300m
J 4,500 = 1,200 – 300m
Answer:
[tex]4500 = 1200 + 300m[/tex]
Step-by-step explanation:
Given
[tex]Total = 4500[/tex]
[tex]Base\ Amount = 1200[/tex]
[tex]Payment = 300[/tex] monthly
Required
Write an expression to determine the number of months
The total can be expressed using:
[tex]Total = Base\ Amount +Payment * Number\ of\ months[/tex]
Substitute value for each term
[tex]4500 = 1200 + 300 * m[/tex]
[tex]4500 = 1200 + 300m[/tex]
Hence:
Option F answers the question
Affirmative action commitments by many organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that at least one woman is selected
Answer:
2/3
Step-by-step explanation:
We solve with combination formula
C(n, r) = nCr = n!/r!( n - r)!
The selection will happen between four women and six men
Total number of people = Total number of possibly outcomes = Four women + six men
= 10 people
This can happen in two ways
a) 2 women
b) 1 man and 1 woman
The probability that at least one woman is selected =
4C2 ×(6C1 + 4C1)÷ 2 ways / 10C2
[6 × (6+ 4)] ÷ 2 / 45
= (6 × 10) ÷ 2/45
= 30/45
= 2/3
CAN SOMEONE PLEASE HELP ME !! ^^^^^^
I'll do problem 1 to get you started.
Answers are in bold
1a) Point B. This point is the "hinge" so to speak of the angle 4. Or you can think of the angle as a pair of scissors. Point B is the vertex where the two metal parts meet up.1b) There are two sides to angle 1 and they are BD and BC which form the angle in question. 1c) Angle DBE or Angle EBD are two different ways to relabel angle 5. The order doesn't matter as long as point B is at the center which is where the vertex point is always located.1d) Angle FBC = Either a Right angle or Obtuse angle (it's not clear), Angle EBF = Obtuse angle, Angle ABC = Straight angle1e) Segment EB or BE is an angle bisector. It cuts angle ABD into two equal parts (angle 4 and angle 5 are shown to be congruent through the similar angle markers)1f) Angle EBC = 144 degrees since we simply add the two smaller angle pieces to get the larger angle we want. This works because the two smaller angles are adjacent and form the larger angle.1g) I'm not sure what to do with this one. It seems like info is missing.Order from least to greatest .9, 8/9, .86
Answer:
least to greatest
.86, 8/9, .9
Answer:
.86,8/9,9 ttttttttttttttttttftfffff
Daniel bought a pokemon card at a store for $10. He sold the card for $20.
Later he bought the same card back for $30 and then sold it again for $50.
How much money did he make or lose on the pokemon card?
Answer:
Daniel gained 30 dollars.
Step-by-step explanation:
-10 + 20 = 10
10 - 30 = -20
-20 + 50 = 30
Hope this helps :)
4. Kamau wants to get change for a sh 1000 note. The change
is to consist of sh 500, sh 200, sh 100 and sh 50 notes
What is the smallest number of notes he can get?
[2003 No.
A. 4
B.
c.6
D.2
Answer:
2 notes
Step-by-step explanation:
500+500=1000/=
Kamau needs 2 notes
100 POINTS!! ASAP - Pls show all the WORK
Answer:
Solution: cot(52°)
Step-by-step explanation:
Remember that the cofunction of angle theta say, is the trigonometric complement of the angle. It represents the relationship between trigonometric functions. In this case you can use the formula:
tan(θ) = cot(90° - θ)
If we plug in '38 degrees' in replacement of 'theta' we can solve for tan(38) in terms of cot. Let's see what our solution is:
tan(38°) = cot(90° - 38°),
tan(38°) = cot(52°)
Therefore the cofunction with the same value as tan(38°) would be cot(52°). Remember this is only one example of it's 'cofunction.'
Answer:
cot(52)
Step-by-step explanation:
cofunction of tan (38)
The cofunction of and angle Ф is the trigonometric complement of an angle.
it shows the relationship between trigonometric functions as:
list the cofunction formula for tan
tan(Ф) = cot(90° - Ф)
plugin Ф = 38 into the formula:
tan (38) = cot(cot(90° - 38)
tan(38 = cot(52)
-5, -6, 0,6
Which pair of numbers has a sum of zero? (5 points)
-6,0
-5,6
6, -6
-5,0
Answer:
6,-6
Step-by-step explanation:
6+(-6)=6-6=0
The answer is 6,-6
A different car seats. One car seat designed for a child up to and including 34lb. Another car seat designed for a child between 16 lb and 40lb. A third car seat is designed a child between 34lb and 90 lb, inclusive. Model those ranges with compound inequalities . Which car seats are appropriate for a 33lb child? The inequality for a child up to and including 34 lb is what?
Answer:
the first and second car seats are appropriate for a 33 lb. child. The first seat suits children up to 34 lb. The second seat suits children that weight between 16 to 40 lb.
The only seat that is not appropriate would be the third one that is too large, since children between 34 to 90 lb. should use it.
seat 1 ≤ 34 lb ⇒ simple inequality
16 lb < seat 2 and seat 2 < 40 lb ⇒ compound inequality
34 lb < seat 3 and seat 3 ≤ 90 lb ⇒ compound inequality
can someone help ASAP plzz
Answer:
c. 84 ft²
Step-by-step explanation:
lateral area = 1/2 * base perimeter * height
where
base sides = 6 ft.
height (L) = 7
lateral area = 1/2 x (4*6) * 7
lateral area = 84 ft²
LA = 1/2pl
p = base perimeter
l = length
p = (6 * 4)
p = 24
l = 7
Use the formula and solve.
LA = 1/2(24)(7)
LA = 1/2(168)
LA = 84
Therefore, the answer is C
Best of Luck!
HELP
Simplify.
5 + (-5
-5 + 1)
1-2 - 31
Answer:
answer is
Step-by-step explanation:
-37
have a good day
i need points
Rewrite the expression 7 to the -2 power
Answer:
1/49
Step-by-step explanation:
7^-2
1/49
7^2 is usually 49 for negative exponents just flip it
Answer:
(7)^-2
Step-by-step explanation:
hope this helps
The midpoint of PQ is at (6,5) and point P is at (4,9).
What are the coordinates of point Q?
Answer:
B. (8, 1)
Step-by-step explanation:
Given M(6, 5) as midpoint of PQ, and P(4, 9),
let [tex] P(4, 9) = (x_2, y_2) [/tex]
[tex] Q(?, ?) = (x_1, y_1) [/tex]
[tex] M(6, 5) = (\frac{x_1 + 4}{2}, \frac{y_1 + 9}{2}) [/tex]
Rewrite the equation to find the coordinates of Q (x1, y1):
[tex] 6 = \frac{x_1 + 4}{2} [/tex] and [tex] 5 = \frac{y_1 + 9}{2} [/tex]
Solve for each:
[tex] 6 = \frac{x_1 + 4}{2} [/tex]
Multiply both sides by 2
[tex] 6*2 = \frac{x_1 + 4}{2}*2 [/tex]
[tex] 12 = x_1 + 4 [/tex]
Subtract 4 from both sides
[tex] 12 - 4 = x_1 + 4 - 4 [/tex]
[tex] 8 = x_1 [/tex]
[tex] x_1 = 8 [/tex]
[tex] 5 = \frac{y_1 + 9}{2} [/tex]
Multiply both sides by 2
[tex] 5*2 = \frac{y_1 + 9}{2}*2 [/tex]
[tex] 10 = y_1 + 9 [/tex]
Subtract 9 from both sides
[tex] 10 - 9 = y_1 + 9 - 9 [/tex]
[tex] 1 = y_1 [/tex]
[tex] y_1 = 1 [/tex]
Coordinates of Q is (8, 1)
If c + d = 16 and d = 6, what is c- d?
Answer:
4
Step-by-step explanation:
c+d=16
d=6
so c will be 10 as c+6=16
c=10
d=6
so c-d=10-6=4
hope it helps
there are 54 new houses built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/6 of the remaining houses were sold. How many houses are left to be sold?
Answer:
Total houses = 54
House sold last month = 1/3 * 54 = 18
Remaining houses = 54-18 = 36
Houses sold this month = 5/6* 36 = 30 houses
House left to be sold = 36 - 30 = 6 houses
What is the difference of -9 and -6?
Answer:
-3
Step-by-step explanation:
-6 - 3 = -9
−3−(−7) Select the point on the number line to plot the answer. https://learning.k12.com/d2l/le/enhancedSequenceViewer/811794?url=https%3A%2F%2Fe02711f5-1353-40b6-af9b-349f7ff846bd.sequences.api.brightspace.com%2F811794%2Factivity%2F122669191%3FfilterOnDatesAndDepth%3D1
Answer:
The answer is 4
Step-by-step explanation:
Like the other person said
Number lines are used to represent numbers at regular and constant intervals
The point on the number line that represents -3 - (-7) is 4
The expression is given as:
-3 - (-7)
Open the bracket
-3 + 7
Evaluate the expression
4
Hence, the point on the number line that represents -3 - (-7) is 4
Read more about number lines at:
https://brainly.com/question/24644930
Please help (word problem)
Answer:[tex]2s^{2} +11s+15[/tex]
Step-by-step explanation:
lenght of the pool = 2s+5
width of the pool= s+3
Area= [tex]l*w[/tex]
Just substitute the l and w
Area= [tex](2s+5)(s+3)[/tex]
=[tex]2s^{2}+5s+6s+15[/tex]
=[tex]2s^{2} +11s+15[/tex]
What is nine divided by five and one fourths
9 ÷ 5 1/4 = 36/21
Simplify
36/21 = 12/7 = 1 5/7
What is the coefficient of the x2 term of the algebraic expression 2x4 + x2 - x + 7
Step-by-step explanation:
2x⁴ + x² − x + 7
= 2x⁴ + 1x² + -1x + 7
The coefficient of the x² term is 1.
9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle. Find the speed for the kayak. Use one of these facts to help. The steamboat's speed is 4 less than 8 times the speed of the kayak. The tall ship's speed is 1 more than 3 times the speed of the kayak. The yacht's speed is 5 less than 15 times the speed of the kayak. Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution) 10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef. It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then? If so, how long will you have to spend at the reef? If not, how late will you be for the return trip? Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)
Answer:
heres what i did on the 2.1.4 practice problem on apex
Step-by-step explanation:
1. Circle the two boats you picked for your trip.
the yacht and the tall ship (aka the pirate ship)
2. Make sense of the problem.
what do you know?
The tall ship makes the trip in 10 hours. The yacht makes the trip in 2.5 hours. The tall ship is 30 knots slower than the yacht.
what do you want to find out?
How fast is each boat traveling in knots (nautical miles per hour)?
what kind of answer do you expect?
probably just some numbers like 10 miles per hour or 40 miles per hour
Writing some expressions
3. Write an expression for the distance going to the island. Let x be the speed of the boat you are taking to the island. Distance is equal to speed times time. (2 points)
the expression would be D = 10(x-30), d is the distance. it could also be simplified to 10x - 300
4. Write an expression for the speed of the boat coming back from the island in terms of the other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)
so the yacht's speed would be S = x knots, s is for speed.
5. Write an expression for the distance returning from the island. Use the expression for speed you found in question 4. Remember that distance is equal to speed times time. (2 points)
the distance returning from the island would be D = 2.5x.
6. Each ship travels the same distance. Set the distances equal to each other to get the equation for the speed of the ship you are taking to the island. (1 point)
10x - 300 = 2.5x
7. Solve the equation from question 6 for x. What does this tell you? (5 points: 1 point for showing your work, 3 points for solving for x, 1 point for explaining the answer)
10x - 300 = 2.5x
10x - 300 + 300 = 2.5x + 300
10x -2.5x = 300
7.5x = 300
x = 40
x is the speed of the yacht. (40 nautical miles per hour)
8. How fast does the second boat travel? Show your work. (2 points: 1 point for showing your work, 1 point for the answer)
the yacht travels at 40 nautical miles per hour and the tall ship travels at 100 (10x - 300) nautical miles per hour.
9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle.
Find the speed for the kayak. Use one of these facts to help.
The steamboat's speed is 4 less than 8 times the speed of the kayak.
The tall ship's speed is 1 more than 3 times the speed of the kayak.
The yacht's speed is 5 less than 15 times the speed of the kayak.
Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)
the equation for the speed of the kayak is 40 = 15x - 5, which in this case, x is the speed of the kayak
40 = 15x - 5
40 + 5 = 15x -5 + 5
45 = 15x
x = 3
therefore, the speed of the kayak is 3 nautical miles per hour.
10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef.
It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then?
If so, how long will you have to spend at the reef?
If not, how late will you be for the return trip?
Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)
the distance to the island is 100 nautical miles, so the expression would be 100 = 20x -40, with x being the distance to the reef.
we can solve for x by doing:
100 = 20x -40
100 + 40 = 20x - 40 + 40
140 = 20x
140 / 20 = x
x = 7
so the distance from my starting point to the reef will be 7 nautical miles, and the distance from the island to the reef would be 93 nautical miles.in that case, I would be like a day and a half late, but if you are trying to say that the ship is waiting for me at the starting point of my "adventure", then I would not be late if I kayak from my starting point to the reef, in fact, I could stay at the reef for like 50 min, because:
7 / 3 = 2 1/3 hours.
2 1/3 x 2 = 4 2/3 hours or 280 min. (to the reef and back)
7:30 p.m. - 2:00 p.m. = 5 1/2 hours or 330 min. (how much time I have till the ship leaves)
330 - 280 = 50 min. (how many min I can spend at the reef)
One base of a trapezoid measures 12 meters, and the other base measures
8 meters. If the area is 144 square meters, what is the height of the
trapezoid?
[tex]Area=\frac{(a + b)}{2} \cdot h\\144 = \frac{(12 + 8)}{2} \cdot h\\144 = \frac{20}{2} \cdot h\\144 = 10h\\h = \frac{144}{10} = \frac{72}{5}[/tex]
A self-serve car wash charges $5.20 to use its facilities, plus an additional $0.66 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 9 minutes, how much was she charged?
A.$11.14
B.$14.20
C.$5.94
D.$5.86
The required amount charged to Tiffany for 9 minutes of the car wash is $11.14. Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The additional charge for the time Tiffany was at the car wash was $0.66 per minute, so the total charge for 9 minutes would be
= $0.66 * 9
= $5.94.
Adding this to the original charge of $5.20 gives a total charge,
= $5.20 + $5.94
= $11.14.
Therefore, Tiffany was charged A) $11.14.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ5
If 9% of a number equals 5, find 36% of that number.
Answer:
20
Step-by-step explanation:
You can set this up in an algebraic equation:.09x=5 which translates to 9% times a variable or unknown number equals 5Divide both sides by .09 which turns to 55.5 Multiply by .36 to find 36% of that number which equals 20What’s the value of the 8 in 2,983,785
Answer:
ten and ten thousands
Step-by-step explanation:
The first 8 is put in the 2nd place for the right meaning that it is in the tens place, the second 8 is in 5th place from right which means that it is at ten thousands place, Hope this answer helped.
Given a the line y=2.5x+4, find line whose graph:
is parallel to the graph of the given line.
Answer:
y=2.5x+10
Step-by-step explanation:
The given line is y=2.5x+4.
Here, the slope of the line, [tex]m_0=2.5[/tex] and
the y-intercept of the line, [tex]C_0=4[/tex].
The graph of the line has been shown in the figure.
The parallel lines never intersect each-other and always have a fixed distance between then.
Mathematically, a line having the slope, m, and the y-intercept, C, i.e
y=mx+C is parallel to the given line if it has equal slopes, [tex]m=m_0[/tex], and different intercepts, [tex]C\neq C_0[/tex].
So, the equation of the parallel line is
y=2.5x+C, where [tex]C\neq 4[/tex].
For example, take C=10 than the equation of a parallel line is
y=2.5x+10 has been shown in the graph.
Like this, there are infinitely many possible parallel lines to the given line.
The probability that Chloe is happy given that she has had dinner by 6pm is 0.9. The probability that Chloe is not happy given that she has not had dinner by 6pm is 0.8. Assume that there is a 60% chance that Chloe eats dinner by 6pm on a given day. a) If Chloe is not happy at 6pm, find the probability that she has not had dinner yet. b) If Chloe is happy at 6pm, find the probability that she has already had dinner.
Answer:
a) If Chloe is not happy at 6pm, the probability that she has not had dinner yet =P(B/D)= 0.8
b) If Chloe is happy at 6pm,the probability that she has already had dinner= P(A/C) = 0.9
Step-by-step explanation:
Let A be an event that Chloe is happy given that she has had dinner by 6pm
P(A) = 0.9
Let B be an event that Chloe is not happy given that she has not had dinner by 6pm
P(B) = 0.8.
Let C be an event that Chloe eats dinner by 6pm on a given day
P(C) = 60%=0.6
Let D be an event that Chloe does not eat dinner by 6pm on a given day
P(D) = 1- 60%=1- 0.6= 0.4
This requires conditional probability .
Part a
P(B/D)=P(B∩D)/P(D)
P(B∩D) = 0.8 *0.4=0.32
P(D) = 0.4
P(B/D)=P(B∩D)/P(D)
= 0.32/0.4= 0.8
P(B)= P(B/D)
0.8 is equal to 0.8
This shows that the events are independent.
b)
P(A/C)= P(A∩C)/ P (C) = 0.9*0.6/0.6= 0.9
Which is again equal to probability of event A showing that the events are independent.
State the name of the property illustrated. (x + 7) + [-(x + 7)] = 0
Answer:
addittional property
Step-by-step explanation:
give an example to show that subtraction does not follow the associative rule
(6 - 2) - 1 = 4 - 1 = 3
6 - (2 - 1) = 6 - 1 = 5
The associative rule doesn't work for subtraction because you get different results when you move the parentheses.
how to find these answers?
Answer:
21.) 50°
22.) 135°
23.) 37°
24.) 100°
25.) 105°
26.) 60°
Step-by-step explanation: