Answer:
124.375% increase
Step-by-step explanation:
From 1980 to 2010 there was a 124.375% increase
A boy arrived at school at 8:15am if he stayed in the school for 4 hours 20 minutes when did he leave
Answer:
12:35
Step-by-step explanation:
The boy left school at time 12:15 pm.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.
To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:
So,
8:15am = 8 x 60 + 15 = 495 minutes
Now we can add 4 hours and 20 minutes:
495 + 4 x 60 + 20 = 735 minutes
So the boy left school at 735 minutes after midnight.
To convert this back to a time, we can divide by 60 to get the number of hours and minutes:
735 minutes / 60
= 12 hours (with 15 minutes remaining)
Therefore,
The boy left school at time 12:15 pm.
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Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(4,−3); y=3x−5
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Find the slope of the line ([tex]m[/tex])
When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:
[tex]y=3x+b[/tex]
2) Find the y-intercept ([tex]b[/tex])
To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.
[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]
Subtract both sides by 12
[tex]-3-12=12+b-12\\-15=b[/tex]
Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.
[tex]y=3x+(-15)\\y=3x-15[/tex]
I hope this helps!
What is the value of n^-4 w^0 for n=-2 and w=5?
Answer:
1/16
Step-by-step explanation:
-2^-4 = 1/(-2)^4
5^0 = 1
1/(-2)^4 = 1/16
enter an equation that represents the function defined by this table of values
Answer: -3x + 1
Step-by-step explanation:
Looking at the y table, when we subtract 1 from them, they become multiples of -3
So we multiply x by -3 then add 1
pls help me answer this (multiple choice)
Answer:
Option 3, 18.0
Step-by-step explanation:
To find the Hypotenuse of a right triangle, use the Pythagoras theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
(see image below)
(the longest side of any right △ is always C)
In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C
[tex]10^{2} +15^{2} =c^{2}[/tex]
[tex]100 + 225 =c^{2}[/tex]
[tex]325 = c^{2}[/tex]
Now that the equation is simplified, we find the square root of 325 to solve for C.
[tex]\sqrt{325 = c^{2}}[/tex]
[tex]18.0 = c[/tex]
The final answer is C = 18.0
Hope this helps you understand :)
PLS ASSAAAAPPP IMMA CRY( MAY U PLS SHOW HOW TO DO IT LIKE THE WORK)!!
Darwin's house is located on the edge of a park. He leaves his house and walks north along the edge of the park for 5 blocks. He turns and walks 12 blocks west in the park. He then walks directly back to his house in a straight line across the park. Determine the total distance of his trip. HINT: you must find the length of the hypotenuse
Answer:
here you go
Step-by-step explanation:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
Which option gives the lowest unit price?
Answer:
29/12=2.41666667
..................=2.33333333
.......................=2.58
second
Step-by-step explanation:
The regular price of a pair of shoes is $65.00. The shoes are on sale for $58.50. What is the percent decrease in the price of the shoes?
Answer:
10%
Step-by-step explanation:
65.00x10%=6.50
65.00-6.50
0r you can do
65.00-10%=58.50
Write an equation to represent the situation: A starfish descends 2/3 of a meter each hour, h, until it has moved 6 total meters.
Answer:
6=2/3h
Step-by-step explanation:
Solve for x. (3x + 17) (8x - 46)
Answer:-15
Step-by-step explanation:
The value of x in the given expression (3x + 17) (8x - 46) is -17/3 or 23/4
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (3x + 17)(8x - 46), we need to find the value of x,
(3x + 17)(8x - 46)
To find the value of x, equate the expression to 0,
(3x + 17)(8x - 46) = 0
3x+17 = 0
x = -17/3
or
8x-46 = 0
8x = 46
x = 23/4
Hence, the value of x is -17/3 or 23/4
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1. What is (6^1/2 x3/4 simplified?
Answer:
1/ 6
Step-by-step explanation:
Help Please :)
I'm not sure if I'm correct.
Answer:
You are correct!
Write an algebraic expression for each situation.
a. 7 more than a number
b. Twice a number
Step-by-step explanation:
a- 7 + X
b- 2x is the equation for these terms I think so
Priya has a recipe for banana bread. She uses 7.5 cups of flour to make 3 loaves of banana bread. How much flour does Priya need to make 1 loaf of bread?
Answer:
It would take 2.5 cups of flour to make 1 loaf of bread.
Step-by-step explanation:
You would 7.5 divided by 3 to get how much it would take for 1 loaf of bread.
7.5/3 = 2.5
it would take 2.5 cups of flour to make 1 loaf of bread.
For the triangle it is given that AE2 + EB2 = 9 and BE2 + EC2 = 16
Find AC =
Answer:
Step-by-step explanation:Given : right triangle ABC , AE^2 + EB^2 =9 and BE^2 + EC^2 = 16
To find : AC
Solution:
BE ⊥ AC
∠AEB = 90°
=> ΔAEB is right angled
=> AB² = AE² + EB²
=> AB² = 9
∠BEC = 90°
=> ΔBEC is right angled
=> BC² = BE² + EC²
=> BC² = 16
∠ABC = 90°
=> AC² = AB² + BC²
=> AC² = 9 + 16
=> AC² = 25
=> AC = 5
AC = 5
The length of AC is 5 units.
What is a Triangle?Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.
As per the given data:
We are given the diagram of ΔABC which is right-angled.
BE is perpendicular to AC.
AE² + EB² = 9 ...(i)
BE² + EC² = 16 ..(ii)
By using the Pythagoras theorem in ΔABE:
AE² + EB² = AB²
From comparing with eq (i)
AB² = 9
AB = √9 = 3 units
By using the Pythagoras theorem in ΔCBE:
BE² + EC² = BC²
From comparing with eq (ii)
BC² = 16
BC = √16 = 4 units
By using the Pythagoras theorem in ΔABC:
AB² + BC² = AC²
AC² = 3² + 4²
AC² = 9 + 16 = 25
AC = 5 units.
The length of AC is 5 units.
Hence, The length of AC is 5 units.
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Apply the distributive property and simplify. -9(x+2)=45 -9x+(__)=45
Plz need an answer fast
Answer:
Not a function becuase one input value corresponds with multiple output values.
Step-by-step explanation:
Hope it helps
HELP ASAP I WILL MARK BRAINLIEST
Answer:
It's the first one...!!!
What is the value of x to the nearest tenth ?
Answer:
7.2
Step-by-step explanation:
24/2 = 12
19.2/2 = 9.6
[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84
[tex]\sqrt{51.84}[/tex] = 7.2
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
Answer:
Yes, this is a right triangle.
Step-by-step explanation:
If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.
Or you can do it using the Pythagorean Theorem directly:
9^2 + 12^2 = 15^2
and that is true.
Answer:
yes it is.
Step-by-step explanation:
pythagorean theorem. A^2 + B^2 = C^2
Ex 9^2 + 12^2 = 15^2
What are the four things
that make up
galaxy ? I need a answer quickly and I need it to be correct! I need a answer ASAP! Thanks
f(x) = -x^3 + 3x^2 + x - 3 Using the end behavior of f(x), determine the graph of the function
Answer:
Here, the given function,
Since, the leading coefficient is negative, and degree is odd,
Thus, the end behaviour of the function is,
Therefore, the graph rises to the left and falls to the right.
Now, when f(x) = 0
That is, graph intercepts the x-axis at (3, 0), (1, 0) and (-1, 0).
When x = 0,
That is, graph intersects the y-axis at ( 0, -3),
Also, for 0 > x > -1 , f(x) is decreasing,
For 2.55 > x > 0, f(x) is increasing,
For 3 > x > 2.55, f(x) is decreasing,
what is the slope of the line that passes through (3, 2) and (4, 11)?
Answer:
9
Step-by-step explanation:
2-11 = -9
3-4 = -1
-9/-1 = 9
Answer pls. question in photo
Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.
Write an expression to represent the total cost of the shirts in two different ways.
Enter the correct answers in the boxes.
Answer:
2S + 0.065(2S)
Step-by-step explanation:
Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S
a tax is a compulsory sum levied on goods and services. tax increases the price of a good
The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)
This gives = 2S + 0.065(2S)
Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S
We want to write two expressions that represent the total cost of the shirts, the expressions are:
Cost = P*(1.065) + P*(1.065)
cost = P*2.13
We know that Benita buys two shirts for the same price, P.
Then at this moment. the total cost is just:
cost = 2*P
Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:
P' = P*(1 + 6.5%/100%) = P*(1.065)
Then the total cost is twice that amount, written as:
Cost = P*(1.065) + P*(1.065)
This can be one of the two expressions.
Now to get the other expression, we just simplify the above one:
cost = 2*P*(1.065) = P*2.13
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The normal price of a computer game is £40
The price is reduced by 1/2 in a sale.
Work out the price of the computer game in the sale.
Answer:
The answer is £20
Step-by-step explanation:
Since the game is half-priced, we just have to divide the original price by 2.
£40/2 = £20
One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?
Please help
Answer:
19.9875 feet
Step-by-step explanation:
The formula is given as:
Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.
1 inch = 0.0833 feet
Shadow of the student = 5ft
Height of the student = 5 feet 4 inches
4 inches to feet
= 4 × 0.0833 feet
= 0.33 feet
Hence: Height of the student = 5 + 0.33 = 5.33 feet
Shadow of the telephone pole = 18 feet 9 inches long
9 inches to feet
= 9 × 0.0833 feet
= 0.75 feet
Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet
Height of the telephone pole= x
Therefore:
5/5.33 = 18.75/x
Cross Multiply
5x = 5.33 × 18.75
x = 5.33 × 18.75/5
x = 19.9875 feet
The height of the telephone pole = 19.9875 feet
Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?
Answer:
6.84 weeks
Step-by-step explanation:
$719.95 - $178.95 = 541$
541/79 = 6.84 weeks
Halp,ignore the answer I chose lolz
Answer:
the answer will be b that should be the answer
Sharon is buying candy. she buys 5 type on the menu if she splits the price equality with four friends how mich do they each pay
Answer:
D. 0.65
Step-by-step explanation:
0.05 x 5=0.25
0.01 x 5=0.05
0.07 x 5=0.35
0.25+0.05+0.35=0.65
they all must pay 0.65 each
Answer:
0.65
Step-by-step explanation: