Answer:
Where is the figure ????
Step-by-step explanation:
Raymond wants to run 15/16 mile after school. The school’s track is 3/16 mile long. How many laps around the track will Raymond have to run?
Use the quadratic formula to solve. SHOW ALL STEPS FOR FULL CREDIT. Make sure that the final answer has a simplified radical. 2x² -10x +3
Answer:
whats that
Step-by-step explanation:
Answer:
[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]
Step-by-step explanation:
If we have the standard form [tex]ax^2+bx+c[/tex], then we can use the quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
First, let's identify our coefficients. We have [tex]2x^2-10x+3[/tex].
This can be rewritten as [tex](2)x^2+(-10)x+(3)[/tex].
Therefore, a=2, b=-10, and c=3.
Substitute these values into the quadratic formula. This yields:
[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(2)(3)}}{2(2)}[/tex]
From here, simplify. Evaluate the expression under the square root:
[tex]x=\frac{10\pm\sqrt{100-24}}{4}[/tex]
Evaluate:
[tex]x=\frac{10\pm\sqrt{76}}{4}[/tex]
Note that:
[tex]\sqrt{76}=\sqrt{4\cdot 19}=\sqrt{4}\cdot\sqrt{19}=2\sqrt{19}[/tex]
Therefore:
[tex]x=\frac{10\pm2\sqrt{19}}{4}[/tex]
We can factor out a 2 from both the numerator and the denominator:
[tex]x=\frac{2(5\pm\sqrt{19})}{2(2)}[/tex]
Simplify:
[tex]x=\frac{5\pm\sqrt{19}}{2}[/tex]
Therefore, our roots are:
[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]
The number of concurrent users of a social networking site has increased dramatically since . By , this social networking site could connect concurrently 70 million users online. The function P(t)(), where t is the number of years after , models this increase in millions of users. Estimate the number of users of this site that could be online concurrently in , in , and in . Round to the nearest million users.
Complete question:
The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users
Answer:
Kindly check explanation
Step-by-step explanation:
Given the function :
The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005
Estimate the number of users of this site that could be online concurrently in:
2006:
t = (2006 - 2005) = 1
P(t) = 2.459(1.475)^t
P(1) = 2.459(1.475)^1
P = 2.459(1.475)
= 3.627025 = 4 million users (nearest million)
2010 :
t = (2010 - 2005) = 5
P(t) = 2.459(1.475)^t
P(5) = 2.459(1.475)^5
P = 2.459(6.981682607421875)
= 17.1679575 = 17 million users (nearest million)
2013:
t = (2013 - 2005) = 8
P(t) = 2.459(1.475)^t
P(8) = 2.459(1.475)^8
P = 2.459(22.404546753)
= 55.09278 = 55 million users (nearest million)
If the height of an equilateral triangle ABC is 5/ 3 cm. Let us write by calculating the area
of this triangle
• Height of the equilateral triangle = 5/3 cm .
To find :• The area of the triangle .
Solution:• First find side :
As we know that:
• Height = √3/2 (side)
=> 5/3= √3/2 (side)
=> side = 10/3√3 cm
• Area of equilateral triangle = √3/4 (side)².
=> Area = √3/4(10/3√3)²
=> Area = √3/4(100/27)
=> Area = 25√3/27
=> Area = 43.30/27
=> Area = 1.60 cm².
Hence, the area of equilateral triangle is 1.60cm²
I hope it will help you.
Regards.
Write an expression for: The sum of 5 times a number and twice a number is 42.
Answer:
42
Step-by-step explanation:
5x5=40 ----> 40+2=42
4 x 105 in standard notation
Answer:
Lol its 420
Step-by-step explanation:
A 24-ounce bag of name brand of cereal is $1.19. How much is it per ounce? Round to the nearest cent.
Answer:
It would be around 5 cents an ounce
Step-by-step explanation:
0.04958333333 would be the answer but you have to round to the nearest cent so the correct and proper answer would be .05 cents per ounce
Use the Distributive Property to simplify 17(2b + 3)
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she checks her kitchen for ingredients she realizes she has 3 8 quart of milk and 18 8 cups of flour. Does she have the correct amount of milk and flour to make the pancakes from the recipe? Explain.
Given:
The recipe calls for 0.5 quart of milk and 2.5 cups of flour.
She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.
To find:
Whether she have the correct amount of milk and flour to make the pancakes from the recipe.
Solution:
Required Milk = 0.5 quart
Milk she has = [tex]\dfrac{3}{8}=0.375[/tex] quarts
Clearly, 0.375 < 0.5.
Required Flour = 2.5 cups
Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups
Clearly, 2.25 < 2.5
Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe
What is the interest on $450 loan at 7% for 2 year
Answer:
$63
Step-by-step explanation:
here,
principle=$450
rate=7%
time=2yrs
intrest=?
now,
as, we know,
intrest=(p×t×r)÷100%
intrest=($450×7×2%)÷100%
intrest=$6300÷100
therefore, intrest=$63#
Interest on given principal rate of interest and time is $63.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, principal =$450, rate of interest =7% and time period =2 years.
Now, simple interest = (450×7×2)/100
= 6300/100
= $63
Therefore, interest is $63.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ2
PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
Aline's
y -intercept
is 10, and its slope is 9
. What
is its equation in
slope -intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
Jackson Elementary School ordered 25 pizzas for an awards ceremony. At the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over. What is a reasonable estimate for the number of pizzas the students ate at the awards ceremony?
Answer: 9 pizzas
Step-by-step explanation:
From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.
A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:
= 25 - (8 1/4 + 7 3/4)
= 25 - 16
= 9 pizzas
2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°
Answer:
90°
Step-by-step explanation:
33+57=90
180-90=90
A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75
Answer:
A ) $1.75 x ≤ $25
Step-by-step explanation:
the cost of x boxes of crayons = 1.75x dollars
If there is a budget of only $ 25,
So, the cost of x boxes of crayons ≤ $25
Answer:
Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.
Need help asapppppppppppppppppppppppppp
Answer:
0.00264
Step-by-step explanation:
(3.3x10^-4)x(8x10^0)
(3.3x1/100000)x(8x1)
0.00033x8
0.00264
hope this helps
brainliest?
Answer:
2.64 x 10⁻-3
0.00264
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
A y − 0.12y
B 0.06(0.88y)
C 1.06(0.88y)
D y − 0.88y + 0.06y
Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is addLet us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ([tex]\frac{88}{100}[/tex])
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
C. 1.06(0.88y)
Step-by-step explanation:
4x - 5y = 10 solve for y=mx+b
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x)=g(x) is true?
x=____
-1, it's fairly clear just from the table...
Answer:
-1
Step-by-step explanation:
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
WILL MARK BRAINLIEST
linear equations and systems:
The HHS band sold 250 dinners at a barbeque a child's plate cost $3.50 and a adult plate cost $7.00 a total of $1347.50 was collected how many adult plates are served
Answer:
There were 135 adults that were served.
Step-by-step explanation:
Let's use c for child's cost and a for adult's cost.
The total amount is 1347.50. With this, we can create an equation to solve for adults.
a + c = 250
3.50c + 7a = 1347.50
Using system of equations, we can plug in values to get our answer.
c = 250 - a
3.50(250 - a) + 7a =
875 - 3.5a + 7a =
3.5a = 472.5
135 = a
115 = c (when you plug a into the equations)
There were 135 adults that were served.
Answer:
135
Step-by-step explanation:
x = number of child's plate
y= number of adult's plate
x+y=250 => 1
3.50x+7y=1347.50 => 2
Multiplying equation 1 by 3.50,
3.50x+3.50y=875 =>
Subtracting equation 3 from equation 2,
3.50x +7y - 3.50x - 3.50y = 1347.50 - 875
3.50y = 472.50
y= 135
A cubic function is stretched by a factor of 0.4, opening downward and
shifted 10 units down and 5 units left.
Answer:
the answer is in the link
Step-by-step explanation:
https
bxaha zshkkkvxxxkvvvvwuqgceuuuegieg DONT KNO
Please help me solve this problem!! I WILL GIVE YOU BRAINLIEST!
(Algebra 1)
m≥5m-4
Answer:
m≤1
Step-by-step explanation:
Move the variable to the left,
m-5m≥-4
Collect like terms so you would have,
-4m≥-4
Then divide and switch the sign because you divided,
m≤1
5a+12 = 9A-12
Can anybody help me ?
Answer:
a=6
Step-by-step explanation:
5x+12=9x-12
5x+12-12=9x-12-12
5x=9x-24
5x-9x=9x-24-9x
-4x=-24
-24/-4
x=6
Answer: 12 + 5a = 9a + -12
Reorder the terms:
12 + 5a = -12 + 9a
Solving
12 + 5a = -12 + 9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a' to each side of the equation.
12 + 5a + -9a = -12 + 9a + -9a
Combine like terms: 5a + -9a = -4a
12 + -4a = -12 + 9a + -9a
Combine like terms: 9a + -9a = 0
12 + -4a = -12 + 0
12 + -4a = -12
Add '-12' to each side of the equation.
12 + -12 + -4a = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4a = -12 + -12
-4a = -12 + -12
Combine like terms: -12 + -12 = -24
-4a = -24
Divide each side by '-4'.
a = 6
Simplifying
a = 6
Step-by-step explanation: found it off of google
A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for$15 each and balcony tickets for$12 each. They want to make at least $3,000 in ticket sales.
Write an inequality whose solutions are the number of floor and balcony tickets sold if they make at least $3,000 in ticket sales.
Answer:
15x + 12y ≥ 3000
Step-by-step explanation:
Let
Number of floor seats tickets sold = x
Number of balcony seats tickets sold = y
Cost of floor tickets = $15
Cost of balcony tickets = $12
They want to make at least $3,000 in ticket sales.
At least in inequality means ≥
The inequality that represent the situation is
15x + 12y ≥ 3000
Answer:
:)
Step-by-step explanation:
15x + 12y ≥ 3000
Number of floor seats tickets sold = x
Number of balcony seats tickets sold = y
Cost of floor tickets = $15
Cost of balcony tickets = $12
They want to make at least $3,000 in ticket sales.
At least in inequality means ≥
The inequality that represent the situation is 15x + 12y ≥ 3000
I’m not very great a math and I’m a bit rush so yeah
Answer:
y=1/10x -9
Step-by-step explanation:
slope intercept formula - y=mx+b
How do you write 6.5 × 10^-1 in standard form?
1.which of the following would save more fuel?
a.Replacing a compact car that gets 34 per gallon(mpg)with a hybrid that gets 54 mpg
b.Replacing a sport utility(SUV)that gets 18 mpg with a sedan that gets 28 mpg
c.Both changes would save the same amount of fuel.
2.Explain your reasoning for your choice.
9514 1404 393
Answer:
1. b
2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons
Step-by-step explanation:
The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...
gallons = miles/(miles/gallon)
18 mpg: 1000/18 = 55.6 gallons
28 mpg: 1000/28 = 35.7 gallons
34 mpg: 1000/34 = 29.4 gallons
54 mpg: 1000/54 = 18.5 gallons
So, ...
replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.
replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.
Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.
__
The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.