Answer:
4
Step-by-step explanation:
You see the hunderth digit has a 8, so you round up. 0.9+0.1=1 so you add 1 to 3, so 3.987 rounded is 4
Use the diagram to find the length. PB is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Given BD = 16 and PC = 10, find PB.
PB =
Answer:
6 units
Step-by-step explanation:
BC = BD/2 = 8
PB² + 8² = 10²
PB² = 100 - 64 = 36 ⇒ PB = 6 units
The length of PB = 6 units
Here, PB is the perpendicular bisector of AC and QC is the perpendicular bisector of BD.
AB = BC = CD
Given that BD = 16 and PC = 10
What is Pythagoras theorem?
Pythagoras theorem is well known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square of the hypotenuse.
Here, BD = 16 and AB = BC = CD
⇒ BC = BD/2 = 16/2 = 8
And, PC = 10
Now using Pythagoras theorem:
[tex]PC^{2} =PB^{2} + BC^{2}[/tex]
[tex]10^{2} =PB^{2} + 8^{2}[/tex]
[tex]PB^{2} + 64 = 100\\PB^{2} = 100 - 64\\PB^{2} = 36\\PB = \sqrt{36}\\PB = 6[/tex]
Hence the length of PB = 6 Units
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What is 5x(12.28) +30/2
Answer:
its 61.4x+15
Step-by-step explanation:
Quinzels earn 1254 each month his total deductions is 20%
Answer:
I believe its $250.80
Step-by-step explanation:
Because 20% of 1254 is 250.8
on the first day of camp, Sara hiked 20 miles in 5 hours. At this rate how long would it take Sara to hike 12 miles?
Answer:
3 hours
Step-by-step explanation:
20 ÷ 5 = 4 mph
12 ÷ 4 = 3 hours
hope this explanation makes sense! :)
Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
On the first day of camp, Sara hiked 20 miles in 5 hours.
The rate = 20/5 = 4 miles per hour
Let x be the time taken by Sara to hike 12 miles
As its rate of speed of Sara is 4 miles per hour
x = 12/4
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
x = 3 hours
Thus, Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.
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12. Write the EQUATION for 125 is what percent of 200.
A 125 = p x 200
B 125 = p/200
C 125/p = 200
D 125 = 200/2
Answer:
Step-by-step explanation:
125 =200p
125/p=200
So the answer is option D
The correct equation for 125 is what percent of 200 is:
C (125/p = 200).
To write the equation for 125 is what percent of 200, follow these steps:
Step 1: Identify the unknown value.
In this case, looking for the percent, which can represent as p.
Step 2: Set up the equation.
To express the relationship between 125 and 200 as a percent, use the equation: 125 = p/100 * 200.
Step 3: Simplify the equation.
To simplify, divide both sides of the equation by 200 to isolate p:
125/200 = p/100
Step 4: Simplify further.
To simplify the left side, divide both the numerator and denominator by 25:
5/8 = p/100
Step 5: Rewrite the equation.
Finally, rewrite the equation as:
125/p = 200
Therefore, the correct equation for 125 is what percent of 200 is:
C (125/p = 200).
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Use the figures below. What is the ratio of AD to JM?
A.2/3
B.6/5
C.3/2
The answer is C. 3/2
(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point Sis at (2,6). The distance (in units) between points T and Sis
numbers, such as 2.) (5 points)
(Input only whole
Answer:
The distance 'd' between T and S:
[tex]d=10[/tex]Step-by-step explanation:
As the point 'T' is located at (2, -4)
So, the point 'T' has the coordinates (2, -4)And the point 'S' is located at (2, 6)
So, the point 'T' has the coordinates (2, 6)The distance 'd' between T and S can be computed using the formula:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]
[tex]=\sqrt{0+10^2}[/tex]
[tex]=\sqrt{10^2}[/tex]
[tex]d=10[/tex]
Therefore, the distance 'd' between T and S:
[tex]d=10[/tex]Answer:
t and s
Step-by-step explanation:
I tried solving this but I accidentally tried figuring out what it would be if it was decreased by 15% instead of increased so now I confused myself an I need help.
Answer:
120 magazines
Step-by-step explanation:
1.15x = 138
x = 120 magazines before increase
Check:
before increase + increase = sold
120 + 120(.15) = 138
120 + 18 = 138
138 = 138
f(1) = 6 f(n) = f(n – 1) – 5 for integer values of n > 1
Please please help me please it’s due today at 6:50pm please please help me please will mark the brainiest please please help me please
Answer:
6. nebula
7. a white dwarf star
Byron is 2 years younger than Cindy. Eight
years ago, the sum of their ages was 14.
How old is Byron now?
Step-by-step explanation:
let age of Byron be b yr old and Cindy be c yr old.
c = b + 2 --(1)
b - 8 + c - 8 = 14
b + c = 30 --(2)
sub (1) into (2):
2b = 28
b = 14
therefore Byron is 14 yr old now.
Topic: simultaneous eqns
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Answer:
10
Step-by-step explanation:
Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.
Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10
P.S: This just based on my understanding of the problem.
What is the decimal for this grid?
0.04
4.0
0.004
Solve the quadratic equation.
3x^2-12=16x
Answer:
I think the answer is
x = 6, -2/3
Step-by-step explanation:
I hope this helps please let me know if it is incorrect
A population grows exponentially at the rate of 1.35%. How long (in years) will it take the population to double?
Answer: Approximately 51 years.
Step-by-step explanation: A population grows by changing exponentially over time, which can be mathematically demonstrated as:
[tex]P=P_{0}e^{rt}[/tex]
where
P is the population after time
P₀ is initial population, when time = 0
r is a percentage rate of growth
t is time passed
In this case, we have to calculate the amount of time it has passed for a population to double, so [tex]P=2P_{0}[/tex]:
[tex]2P_{0}=P_{0}e^{0.0135t}[/tex]
[tex]e^{0.0135t}=2[/tex]
[tex]ln(e^{0.0135t})=ln2[/tex]
Using Logarithm Rule [tex]ln(e^{k})=k[/tex]:
[tex]0.0135t=0.693[/tex]
t = 51.34
For a population with rate of 1.35%, it will take approximately 51 years to double.
In how many ways can you arrange the books A, B, C, and D on a bookshelf if books A and C must remain neighboring?
Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item.
Please submit a paragraph response, following the RACE method, to explain how to find the cost of Nicole’s meal.
Answer:
The total cost of the meal is $19.35.
Step-by-step explanation:
As Nicole ordered a $ 15 menu, and on that price she paid a tip of 20% and the town in which she bought it had a sales tax of 9%, the total cost of the meal is determined by performing the following calculation:
1- Menu $ 15
2- Tip $ 3 (15 x 0.2)
3- Sales tax $ 1.35 (15 x 0.09)
Thus, adding the three expenses, the total cost of the food for Nicole is $ 19.35 (15 + 3 + 1.35).
Will spent $3.75 for 5 1/2 pounds of granola. What is his unit rate in dollars per pound to the nearest cent?
Answer:
Unitary cost (per pound)= $0.682
Step-by-step explanation:
Giving the following information:
Total cost= $3.75
Total pounds= 5.5 pounds
To calculate the unitary cost of each pound, we need to use the following formula:
Unitary cost= total cost / total pounds
Unitary cost per pound= 3.75 / 5.5
Unitary cost per pound= $0.682
Simplify 7x(2-x)+x^3+2(x^2-6x)
The answer fam is........x^3 - 5x^2 + 2x
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia’s altitude at the end of her climb? 3,511.8 feet above sea level 5,245.2 feet above sea level 5,418.54 feet above sea level 5,457.06 feet above sea level
Answer:
5418.54
Step-by-step explanation:
because yes
0.52 0.25 0.75 0.620 0.062 from smallest to largest
Answer:
0.062; 0.25; 0.52; 0.620; 0.75
2) Find BC
С
67
52
4
B
21
A) 20
C) 20.7
B) 16
D) 18
Answer:
i got D
Step-by-step explanation:
sin 67 = sin 52
21 BC
BC=17.98
BC=18
The formula for the volume of the sphere = 4(pi) 13. Which of the following is the closest approximation to the volume when r, the
radius, is 11 inches?
Answer:
5572.5 or 5573 inches
Step-by-step explanation:
First of all, the formula is 4/3(pi)r^3
So 4/3(3.14)11^3
So then 5572.5 or 5573 inches
Solve the system of equations.
3y + 10x - 54 = 0
5y - 2x - 34 = 0
2 =
y =
Answer:
y=3 x=8 (8,3)
Step-by-step explanation:
HELP PLEASE
The function f(x) = 0.25x + 1.2 represents the weight of a puppy o weeks after it was born. What does the slope of the function represent?
A.The initial weight of the puppy is 1.2 pounds.
B.The initial weight of the puppy is 0.25 pound.
C.The puppy gains approximately 1.2 pounds each week.
D.The puppy gains approximately 0.25 pound each week.
D.The puppy gains approximately 0.25 pound each week.
x = no. of weeks in f(x) = 0.25x + 1.2
Answer:
a
Step-by-step explanation:
In this picture B and F are
midpoints.
x=[ ? ]
Answer: x = 10
see in the picture, ΔACE has:
+) BF//AE
+) B and F are midpoints.
=> BF is the median line of the triangle ACE
=> BF = 1/2. AE
=> AE = 2BF
⇔ 5x - 4 = 2.23 = 46
⇔ 5x = 46 + 4 = 50
⇔ x = 50/5 = 10
Step-by-step explanation:
HELP ME PLEASE Find the slope of the line and write it as a rate of change.
A slope is also known as the gradient of a line. The rate of change is $0.13/ mile.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
Given two of the points on the line of the function (7000, 900) and (20000, 2600). Now, The rate of change for the given function is the slope of the line as shown in the graph. Therefore, the rate of change will be,
Rate of change = ($2600 - $900)/(20,000 miles - 7,000 miles)
= 1700 / 13000
= $0.13/ mile
Hence, the rate of change is $0.13/ mile.
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An item that originally cost $12 is discounted 30%. What is the price of the item after the discount? Please give explanation or show work
Thank you
Please try to answer quickly thanks!
Reward is 16 Brainly points ;)
Answer: $8.4
Step-by-step explanation:
To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.
Please help! BRAINLIEST to correct answer!
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[tex]2 {x}^{3} + 2 {x}^{2} - 40x = [/tex]
[tex]2x( {x}^{2} + x - 20) = [/tex]
[tex]2x(x - 4)(x + 5)[/tex]
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The correct answer is (( a )) .
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The first option is the correct one.
[tex]2 {x}^{3} + 2 {x}^{2} - 40x[/tex]
[tex]2x( {x}^{2} + x - 20)[/tex]
[tex]2x(x - 4)(x + 5)[/tex]
write the equation of the function if its rate of change is -14 and its intial value is 14
Answer:
[tex]f(x) = -14x + 14[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Value = 14[/tex]
[tex]Rate = -14[/tex]
Required:
Write as a function
Let x be the quantity that changes:
A function is of the form:
[tex]f(x) = mx + b[/tex]
Where
m = slope or rate
b = y intercept or initial value.
So, we can say that:
[tex]m = -14[/tex]
[tex]b = 14[/tex]
Substitute values for b and m in [tex]f(x) = mx + b[/tex]
[tex]f(x) = -14x + 14[/tex]
A newborn giraffe weighs about 65 kilograms. How much does it weigh in grams?
Answer:
65,000 grams
Step-by-step explanation:
1 kilogram = 1,000 grams
The giraffe weighs 65,000 grams.