Let x represent the amount that she needs to save each month for the next year.
Stephanie is saving money to buy a new computer. So far she has saved $200. This means that the total amount that she would have saved in y months is
200 + xy
Since there are 12 months in a year,
an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer is
200 + 12x ≥ 1200
12x ≥ 1200 - 200
12x ≥ 1000
x ≥ 1000/12
x ≥ 83.33
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
I'm confused about how to do flow charts for each of these questions!
Write an equation in point-slope form and slope-intercept form for each line
1. passes through (1, 9), slope = 2
Jenny used a total of 3 5/6 gallons of gas while driving her car. Each hour she was driving, she used 7/9 gallons of gas. What was the total number of hours she was driving?
Answer:
Jenny drove for about 4.93 hours
Step-by-step explanation:
Jenny uses 7/9 gallons of gas per hour.
She used a total of 3 5/6 gallons.
If x is the number of hours she drove, then she used 7x/9 gallons.
X* 7/9 = 3 5/6
3 5/6 can be converted to an improper fraction.
((3*6)+5) / 6 = 23/6 gallons
=> x * 7/9 = 23/6
=> x = (23/6) / (7/9)
=> x = (23/6) * (9/7)
=> x = 69/14
=> x = 4.928571429 hours.
what is the prime factor of 4400 by tree method
Answer:
The orange divisor(s) above are the prime factors of the number 4,400. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 5 x 5 x 11 = 4,400. It can also be written in exponential form as 24 x 52 x 111.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you!
One mile is approximately 1.6 kilometers. A speed limit sign in Europe reading 65 kph
(kilometers per hour) means you can go about how many miles per hour (mph)*
The sum of -9 and 18/2
Answer:
0
Step-by-step explanation:
Sum means addition so:
-9 + 18/2
(18/2 = 9)
-9 + 9
0
Answer: 0
Step-by-step explanation: The answer I got was 0. I'm assuming that 18/2 is 18 divided by 2. 18 divided by 2 is 9 and if you add a positive and a negative its like subtracting. 9-9=0 so the answer is 0.
The dimensions of a rectangle are shown. What is the area of the rectangle?
Your answer:
128xunits
8x + 10 units
16x + 20 units
15x2 + 46x + 16 units
Answer:
=(3x+8) (5x+2)
=15x2 + 46x + 16 units
Solve for all values of x by factoring.
x^2+10x+12=2x+5
Answer:
x = -1, -7
Step-by-step explanation:
=> x² + 8x + 7 = 0
=> (x + 1) (x + 7) = 0
=> x = -1, -7
Mrs. Owens borrowed $50,000 to start a business. In the first two months, expenses amounted to $52,500, and sales came to only $2,500. How much money does Mrs. Owens have going into the third month?
A box of chocolates has 5 creme filled, 8 peanut butter filled, and 7 caramel filled chocolates. What is the probability, expressed as a
percent of randomly selecting a creme filled chocolate?
A) 5%
B) 15%
C) 20%
D) 25%
Answer:
25%
Step-by-step explanation:
Step 1: Add all the possible choices up
8 + 5 + 7 = 20
Step 2: Note that your finding the probability for creme filled ones
Step 3: Make it a fraction
5 creme filles ones out of 20
5/20
Step 4: Simplify
1/4
Step 5: Convert into a decimal (if you don't already know it)
1 ÷ 4 =
.25
Step 6: Multiply by 100 to find percentage
.25 × 100 = 25%
the surface area 5cm x 14cm x 6cm
How much will the monthly payment be for a 2 year old used car that's is priced at 13995 of the current finance rate is 48 months at 4.36% ? You will finance the 8% tt&l and make a 30% down payment
Answer:that’s a tough one
Step-by-step explanations just need some credit on brainly
The equation for the perimeter around Claire's garden is a:
O Linear Function
O Exponential Function
O Quadratic Function
O Absolute Value Function
Answer:
Linear function
Step-by-step explanation:
Took da test ;)
(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
The answer is D
what is the combined length of 5/8
Each onion ring had 45 calories and each slider have 325 calories, a combination meal with onions rings is a total of 920 calories and 3 times as many onion rings as there are sliders, white a system of equation
Answer:
Number of onion rings in the combination = x = 6
Number of sliders in the combination = y = 2
Step-by-step explanation:
At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Let
Number of onion rings in the combination = x
Number of sliders in the combination = y
45x + 325y = 920 (1)
3 times as many onion rings as there are sliders
x = 3y (2)
Substitute x = 3y into (1)
45x + 325y = 920
45(3y) + 325y = 920
135y + 325y = 920
460y = 920
y = 920/460
y = 2
Substitute y = 2 into (2)
x = 3y
x = 3(2)
x = 6
Number of onion rings in the combination = x = 6
Number of sliders in the combination = y = 2
A plane flew for 2 hours at 467 mph (miles per hour) and 5 hours at 536. How far did the plane fly in miles
Answer:
3614 miles
Step-by-step explanation:
Given data
A plane flew for 2 hours at 467 mph
Let us find the distance covered
Speed= distance/time
Distance= speed*time
Distance= 467*2
Distance=934 miles
5 hours at 536
Let us find the distance covered
Speed= distance/time
Distance= speed*time
Distance= 536*5
Distance=2680 miles
Total distance
=2680+934
=3614 miles
What is the equation of this
Answer:
it's correct
Step-by-step explanation:
Use the net to find the surface area of the rectangular prism
Answer:
52
Step-by-step explanation:
2>10+4n how would you graph this
Solve the 4 letter code please I need it before midnight, it's not a word.
9514 1404 393
Answer:
EAGI
Step-by-step explanation:
Your choices are correct except for "B". Graph 3 has a dashed line, so the inequality symbol is <, not ≤.
Solve this easy question that I don't understand
Answer:
It is C. and btw........... DON'T TRUST LINKS!!
The Valley Central School District ordered 300 bagels for their spring faculty breakfast. They want 65% of the bagels to be plain. How many plain bagels should they order?
PLS HELP ASAP
Answer:
The answer to your question is 195
17 gallons = ? liters
Answer:
64.345
Step-by-step explanation:
1 gal=3.785
multiply 3.785 x 17
A nature park has two ticket plans. With one plan, you pay a $24 yearly membership fee plus $8
for each visit. The other plan has no membership fee, but you pay $14 for each visit. Isaac is on
the first ticket plan and Maddie is on the second ticket plan. After how many visits will they each
have paid the same amount
F 5
G6
H4
J 3
Answer:
G6
Step-by-step explanation:
A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School bus
Sophomore 2
25
3
Junior
13
20
2
25
5
5
Senior
What is the probability that a randomly selected student
is a junior who takes the bus?
?
P(Junior' n Take the bus)
Answer:
The answer is 1/5
Step-by-step explanation:
Trust me.
The probability that a randomly selected student is a junior who takes the bus is [tex]\frac{1}{5}[/tex] .
What is probability?Probability or chance is how likely something is to happen. If something has a low probability, it is unlikely to happen. If something has a high probability, it is likely to happen.
[tex]probability=\frac{number\ of\ favourable\ cases }{total\ number\ of cases}[/tex]
Given,
Total number of students = 100
Number of students who are juniors and take bus = 20
[tex]probability=\frac{number\ of\ favourable\ cases }{total\ number\ of cases}[/tex]
Probability of junior students who take bus = [tex]\frac{20}{100}[/tex]
Probability of junior students who take bus = [tex]\frac{1}{5}[/tex]
Hence, The probability that a randomly selected student is a junior who takes the bus is [tex]\frac{1}{5}[/tex] .
Learn more about Probability:
https://brainly.com/question/14210034
#SPJ2
Rewrite the expression in the form k*x^n
(16/x^3)^1/4
Answer:
2*x^(3/8)
Step-by-step explanation:
Answer:
2*x^(3/8)
Step-by-step explanation:
khan
Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that have the following solution sets:
One solution: x=15
Answer:
|x-15|=0
Step-by-step explanation:
Obviously.
Answer:
|x-15|=0
Step-by-step explanation:
PLS ANSWER QUICK
A recipe for a batch of muffins calls for 1/3 cup of sugar, 3/4 cup of flour, and 1/2 cup of milk. How many total cups of sugar, flour, and milk will be needed for three batches of muffins?
NO LINKS I WILL REPORT
Answer:
1 cup of sugar, 2 1/4 cups of flour, and 1 1/2 cups of milk
Step-by-step explanation:
1/3 x 3= 3/3 =1
3/4 x 3= 2 1/4
1/2 x 3= 1 1/2
These all add up to 4 3/4 cups