Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.
Answer: A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Step-by-step explanation:
Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.
Cost of scooter = $600
Weekly installment = $18.75
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Let 'x' be the number of weeks .
Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)
[tex]\Rightarrow\ 150=600-18.75x[/tex]
[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]
i.e. After 24 months when she has $150 left to pay for the motorized scooter.
Hence, the correct answer is :
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Answer:
B)-18.75x+600=150
Step-by-step explanation:
Got it right on my test!
What is the value of x in the equation 4(2x + 14) = 0? a 9 b 7 c −7 d −9
Answer:
x = -7
Step-by-step explanation:
4(2x + 14) = 0
Divide each side by 4
2x+14 = 0
Subtract 14 from each side
2x+14-14 = 0-14
2x= -14
Divide each side by 2
2x/2 = -14/2
x = -7
Answer:
C, -7
Step-by-step explanation:
Use distributive property to get: 8x +56 = 0
Isolate x to get: 8x = -56
Then divide each side by 8: x= -7
The answer is C
Which of the following is not an attribute of parallelograms? Opposite sides are parallel. Consecutive angles are supplementary. Diagonals bisect each other. Diagonals are congruent.
Answer:
Diagonals are congruent
Step-by-step explanation:
The diagonals of a parallelogram are not congruent; one is longer than the other
Please help me simplify these expressions
Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3
Step-by-step explanation:
1. there is no numbers to multiply together, so just add the a's and b's
2.3 stands alone. add the m's and n's together. getting m^2 and n^5
3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3
Lmk if it helps. :)
(THIS IS 90 POINTS!!!)
Solve the following system of equations:
x − 2y = 5
2x − 4y = 10
A. Infinitely many solutions
B. No solutions
C. (0, 0)
D. (5, 10)
Answer:
A. Infinitely many solutions
Step-by-step explanation:
x − 2y = 5 | × (- 2)
2x − 4y = 10
- 2x + 4y = - 10
2x - 4y = 10
----------------------- +
- 2x + 2x + 4y - 4y = - 10 + 10
0 = 0
A. Infinitely many solutions
HELP PLS I WILL MARK BRAINLIEST!!!!!!!!!!!!
a
because it has the highest values from all the options from all the above
Convert the angle radians to degrees
Answer:
160 degrees
Step-by-step explanation:
To change from radians to degrees, multiply by 180 / pi
8 pi/9 * 180/pi
160 degrees
PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.
Enter your answer into the blank equation box.
Answer:
equation in standard form is -3x + 5y = -26
Step-by-step explanation:
standard form of equation of line is
Ax + By = C
where A,B and C are integers.
such line has slope -A/B
Another form of line equation is slope intercept form, which can be written as
y = mx+ c
since in problem m = 3/5
thus, equation is
y = 3/5 x + c
Given that (2,-4) passes through this line, this point will satisfy the above equation
-4 = 3/5 *2 + c
=> - 4 = 6/5 + c
=> c = -4 -6/5 = (-4*5 - 6)/5
=> c = (-20 - 6)/5 = -26/5
Thus, equation in slope intercept form is
y = 3/5 x -26/5
lets rewrite this equation in Ax + By = C
Multiplying LHS and RHS by 5 we have
5y =( 3/5 x)* 5 - (26/5 * 5)
=> 5y = 3x - 26
we have to bring 3x on LHS for that
we subtract 3x from both side
5y -3x = 3x - 26 -3x
=> 5y -3x = - 26
rearranging the equation
-3x + 5y = -26
Thus, equation in standard form is -3x + 5y = -26
I need help finding the surface area, can someone help
Answer:
1). Surface area of the prism = 112 cm²
2). Area of the sphere = 615.8 cm²
Step-by-step explanation:
1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides
Area of a triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(7)[/tex]
= 10.5 cm²
Area of a rectangle = Length × width
Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)
= 15 + 40 + 35
= 90 cm²
Surface area of the prism = (2 × 10.5) + 90
= 21 + 90
= 112 cm²
2). Surface area of the sphere = 4πr²
= 4π(7)²
= 615.75
≈ 615.8 cm²
What is the value of the expression below?
7-2-4.5x3-8
Answer:
6.5
Step-by-step explanation:
7-2=5-4.5=0.5
0.5ₓ3=1.5
8-1.5=6.5
URGENT!!! A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c for child
a for adult
4c+ 6a ≤ 120 for build
4c +4a ≤ 100 for test
We want 20 child and 6 adult
4(20)+ 6*6 ≤ 120
80+36 ≤ 120
116 ≤ 120 true for build
4*20 +4*6 ≤ 100
80+24 ≤ 100
104 ≤ 100
False for test
Answer:
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Classify the quadrilateral whose vertices are: A(3, 2); B(0,5);
C(-3, 2); D(0, -1). Select all that apply.
A) square
B) rhombus
C) trapezoid
D) parallelogram
E) rectangle
F) none of these
Answer:
select answers: A), B), C), D), and E)
Step-by-step explanation:
Please see attached image with the figure obtained by joining the given points.
Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:
rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.
Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)
Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.
Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.
Therefore you need to select answers: A), B), C), D), and E)
Using Ratios to Solve Problems - Item 1457 Question 4 of 7 Evan's family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 300 miles in 6 6 hours. The second day, they drove 250 250 miles in 5 5 hours. The third day, they arrived at the park after driving for 3 3 hours. How many miles did they drive on the third day?
Answer:
150 miles
distance travelled on the third day = 150 miles
Step-by-step explanation:
Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;
For the first day
distance = 300 miles
time = 6 hours
Speed = distance/time
Speed = 300/6 = 50 mph
on the third day;
time = 3 hours
Speed = speed on first day = 50 mph
distance = speed × time
distance = 50 mph × 3 hours
distance = 150 miles
distance travelled on the third day = 150 miles
What is the decimal equivalent of the fraction 8/10
Answer:
0.8
Step-by-step explanation:
The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.
The decimal equivalent of 8/10 is equal to 0.8
What is a decimal number?A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.
Given here: The proper fraction is given as 8/10
All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.
Thus we have 8/10=4/5
=0.8
Hence, the decimal equivalent of 8/10 is equal to 0.8
Learn more about fractions here:
https://brainly.com/question/29264210
#SPJ2
Please help. Sooooo confused. GOAL is a quadrilateral in which GO is parallel to AL. If the measures of angle G=angle O = 40 degrees. What are the measures of angle A send L. It is not mentioned that A is equal to L,so?
Answer:
Angle A and L are 140 degrees each.
Step-by-step explanation:
Since GO and AL are parallel to each other, we can use the same side interior theorem to figure out angle A and L. Let's focus on GA first. We know that same side interior angles are supplementary (sum is 180 degrees). We know angle G is 40 degrees, so to figure out angle A, you do 180-40 which equals 140. So angle A is 140 degrees. You repeat this process for OL and you should also get 140 degrees for L.
1
A recipe calls for
cup of milk. If you make 3
times the recipe, how much milk do you need?
2
O
cups
cups
1
2 1 / 2
cups
hose
cups
Answer:
I don't really understand your question, but I still think I can explain.
Step-by-step explanation:
The original recipe is doing the recipe once. If you want to make the recipe three times bigger, you have to do all of the ingredients three times bigger, including the milk.
Three times bigger also can be written as 3 × _
So whatever the recipe says for the milk, put the number in the blank and multiply it by three.
Answer:
2 1/3
Step-by-step explanation:
. It was a very freaky weather day. The temperature started out at 7⁰C in the morning and went to -15⁰C at noon. It stayed at that temperature for eight hours and then rose 8⁰C. How far below the freezing point (0⁰C) was the temperature at 8 p.m.?
Answer:
8 hours after noon (12 pm) is at 8 pm
At 8pm, temperature was -15°C
So, temperature was -15° below freezing point (0°)
Answer:
- 15
Step-by-step explanation:
8 hours after noon is at 8 p.m.
At 8 p.m., temperature was -15 C
Thus, temperature was -15 below freezing point at 8 p.m.
Hope that helps!
The bar graph shows the results of rolling a number cube (die) 50times. What is the experimental probability of rolling each of the number on the number cube?
Column A Column B
1. a. 18%
2. b. 8%
3. c. 22%
4. d. 16%
5. e. 20%
6.
c. 22%
Step-by-step explanation:
sorry for no explanation
Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a
rotation of 180Âabout the origin O.
Answer:
Option B
Step-by-step explanation:
First we would identify the coordinates of the points before they are rotated.
A(2, 0), B(4, 0), C(5, -2), D(1, -2)
Plot a graph with the coordinates.
We find that the figure appears in the fourth quadrant.
Find attached the diagram.
To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.
That is positive sign becomes negative and vice versa:
A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)
This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.
Plotting the new coordinates on a graph would give option B.
Manish and Jhanavi each receive an equal bonus. Manish has 1/2 fraction of allowance as saving accounts , 1/4 of the fraction he spend at the mall. Jhanavi has 1/3 fraction of allowance as saving accounts , 3/5 of the fraction she spend at the mall. If the allowance of each is Rs. 2520,find the amount left with Manish and Jhanavi?
Answer:
Step-by-step explanation:
Manish:
[tex]Savings=\frac{1}{2}*2520\\\\= Rs.1260\\\\Amount spend at mall=\frac{1}{4}*2520\\\\=Rs.630[/tex]
Amount left with Manish = 2520 - (1260 + 630) = 2520 - 1890 = Rs. 630
Jhanavi:
Savings = (1/3) *2520 = Rs. 840
Amount spend at mall = (3/5) * 2520
= 3 * 504
= Rs. 1512
Amount left with Jhanavi = 2520 - (840 +1512) = 2520 - 2352
= Rs. 168
The expression √7x is equivalent to the expression x√7
True or false
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
√7x is the square root of 7x
while x√7x is equivalent to x multiplied ythe square root of 7
Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?
Answer:
4 parrots
3 cages
Step-by-step explanation:
Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):
[tex]P=C+1\\C-1=\frac{P}{2}[/tex]
Solving the linear system:
[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]
Bryan has 4 parrots and 3 cages.
a square rug has a perimeter of 64 cm. george says the side lenght of the square is 8cm . bob thinks it is 16cm. who is correct ?
Answer:
16 cm
Bob is correct
Step-by-step explanation:
Perimeter of a square = 4 × side’s length
Then
the side length = 64/4 = 16
Answer:
perimeter of square =4l
64/4cm=l
l=16cm
therefore
bob is correct.
How do you graph Y =4 find the slope of a line that is parallel to it
Answer:
Answer is below
Step-by-step explanation:
I graphed the equations on the graph below.
The slope of y = 4 and y = 5 is 0 because the lines are flat and constant, instead of increasing or decreasing.
Enter the equation for the graph.
Answer:
y = cos x
Step-by-step explanation:
The graph begins at (0, 1) and completes its first period at (2π, 1) Thus the period of this function is 2π. The amplitude is 1; this is the value that y takes on when x = 0.
Thus the equation of this graph is y = 1cos x, or y = cos x.
Solve 0.48 ÷ 0.04 Help me please
Answer:
12
Step-by-step explanation:
[tex]0.48\div 0.04[/tex]
If you multiply both terms by 100, the result will be the same, because 100/100=1. You can therefore rewrite this as 48/4, which is equal to 12. Hope this helps!
Answer:
12
Step-by-step explanation:
0.48x100=48
0.04x100=4
48/4=12
1. X-3.3< 16.2 *
O x<19.5
O x> 19.5
O x< 12.9
O
X > 12.9
Answer:
x <19.5
Step-by-step explanation:
X-3.3< 16.2
Add 3.3 to each side
X-3.3+3.3< 16.2+3.3
x <19.5
at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
About $5.33
Step-by-step explanation:
If u want to find out How many dollars per hour u do 48 divided by 9
Hope this helps
A large cooler contains 15 liters of iced tea and A small cooler contains 5 liters of iced tea how many more milliliters of iced tea does the large cooler contain than the small cooler?
Answer:
10000 ml
Step-by-step explanation:
1 liter =1000 ml
15 -5 = 10
10 * 1000= 10000
What is the slope? will mark brain
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3.
Step-by-step explanation:
The answer is 3( slope ) because
6÷2=3.
Improper fraction = 3/1