Answer:
the value is a hundredth or 0.08
Answer:
The value of 8 in the number 33.086 would be the hundredth
Step-by-step explain:
30 would be the ten
3 would be the one
.0 would be tenth
.8 is the hundredth
.6 is the thousandth
What are the points on y-axis which are at a distance of 4 units from 4x+3y=12
Given:
The equation of line is
[tex]4x+3y=12[/tex]
To find:
The points on y-axis which are at a distance of 4 units from the given line.
Solution:
The point lie on the y-axis. So, their x-coordinate must be zero.
Let the points are in the form of (0,k).
The distance between a point [tex](x_0,y_0)[/tex] and a line [tex]ax+by+c=0[/tex] is
[tex]d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]
The given equation can be written as
[tex]4x+3y-12=0[/tex]
The distance between (0,k) and [tex]4x+3y-12=0[/tex] is 4 units.
[tex]4=\dfrac{|4(0)+3(k)-12|}{\sqrt{4^2+3^2}}[/tex]
[tex]4=\dfrac{|0+3k-12|}{\sqrt{16+9}}[/tex]
[tex]4=\dfrac{|3k-12|}{\sqrt{25}}[/tex]
[tex]4=\dfrac{|3k-12|}{5}[/tex]
Multiply both sides by 5.
[tex]20=|3k-12|[/tex]
[tex]\pm 20=3k-12[/tex]
[tex]12\pm 20=3k[/tex]
[tex]\dfrac{12\pm 20}{3}=k[/tex]
Now,
[tex]k=\dfrac{12-20}{3}\text{ and }k=\dfrac{12+20}{3}[/tex]
[tex]k=\dfrac{-8}{3}\text{ and }k=\dfrac{32}{3}[/tex]
Therefore, the two points are [tex]\left(0,\dfrac{-8}{3}\right)\text{ and }\left(0,\dfrac{32}{3}\right)[/tex].
i need help answering this question: 9 × +7
Answer:
9×7=63
the answer is 63
La probabilidad de que al tirar un dado, salga 1, es de 1/6. La probabilidad de que salga 3, es de 1/6. Calcular la probabilidad de que al tirar un dado, salga 1 o 3.
Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.
El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.
3 A garage is to be built with a skillion roof (a roof with a single
slope). The measurements are given in the diagram. Calculate
the pitch line length, to the nearest millimetre. Allow 500 mm
for each of the eaves.
Answer:
1e1e
Step-by-step explanation:
The pitch line length of the garage with the skillion roof, with the given dimensions and eave overhangs, is approximately 7.5 meters.
To calculate the pitch line length for the garage with a skillion roof, we need to consider the dimensions provided in the diagram and add the eave overhangs.
Let's assume the length of the garage is L meters, and the height from the top of the walls to the peak of the roof is H meters.
Calculate the pitch line length of the roof:
The pitch line length is the diagonal length of the triangular roof face. We can use the Pythagorean theorem to find it.
Pitch Line Length (PL) = √(L² + H²)
Add the eave overhangs:
The eave overhang is 500 mm on each side, so we need to add 1 meter (1000 mm) to the pitch line length.
Total Pitch Line Length (TPL) = PL + 1000
Now, let's calculate the pitch line length to the nearest millimeter.
For example, let's assume L = 6 meters and H = 2.5 meters.
Calculate the pitch line length (PL):
PL = √(6² + 2.5²)
PL = √(36 + 6.25)
PL = √42.25
PL = 6.5 meters
Add the eave overhangs:
TPL = 6.5 + 1
TPL = 7.5 meters
To know more about length
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#SPJ2
During a thunderstorm, 600 millimeters of rain fell in 30 min.
A. How fast did the rain fall, in millimeters per minute?
B. How fast did the rain fall, in millimeters per hour?
C. Which unit rate do you think is more useful? Explain your reasoning.
Sorry that I can only put 10 points. But please I really need help with this
A coffee mug has a diameter of 8 centimeters. What is the mug's
circumference?
Use 3.14 for n.
centimeters
Submit
Answer:
25.12 cm
Step-by-step explanation
circumfernce=3.14n
c=3.14·8
c=25.12
Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.
Answer:
You would receive $510.08 in return.
Step-by-step explanation:
In order to find the answer, you can use the formula to calculate the future value:
FV=PV*(1+i)^n
FV=future value
PV= present value= 500
i= interest rate=0.03/12=0.0025 per month
n= number of periods of time= 8
Now, you can replace the values in the formula:
FV=500*(1+0.0025)^8
FV=500*(1.0025)^8
FV=510.08
According to this, the answer is that you would receive $510.08 in return.
Answer:
I think it is $15
Step-by-step explanation:
Taking the test now.
80% of the games were won.
v out of 40 games were won.
8
32
40
Answer:
32
Step-by-step explanation:
80/100 = .8
.8 x 40 = 32 games won
Answer:
32
Step-by-step explanation:
80% of the games were won.
v. out of 40 games were won
Take 80% and divide it by 100
80%/100 = 0.8
Now multiply it by 40.
0.8 * 40 = 32
8. The double box plot shows the costs of MP3 players at two different stores. Which one of the following inferences is NOT true based on the dot plots shown below:
A. 75% of the prices at Electronics World are lower then $75.
B. 75% of the prices at Bargain Basement are lower than $65.
C. The median price at Electronics World is $10 more than at Bargain Basement.
D. MP3 players are more expensive at Bargain Basement.
PLEASE HELP THIS IS DUE SOON
Answer
interior angles 370
exterior angles 350
I hope this helps!
What is the value of x in simplest radical form?
Answer:
x =97
Step-by-step explanation:
perpendicular (p) = 65
base (b) = 72
hypotenuse (h) = ?
We know by using Pythagoras theorem
h = √p² + b²
= √ 65² + 72²
= √9409
= 97
Each of these numbers is written as a product of prime factors.
Note: 539 = 11 x 7²
847 = 7 x 11²
Use this information to write:
(a)539/847 as a fraction in its simplest form.
(b)55/539 as a fraction in its simplest form.
Answer:
a)539/847=
11×7²
____=7^(2-1)/11^(2-1)=7/11
7×11²
Step-by-step explanation:
(b)55/539=(5×11)/( 11 x 7²)=5/7²
Find the value of x.
Answer
x=7
Step-by-step explanation:
I honestly forgot how to explain but my logic is that 43+137+137+43=360
so, x would equal 7
Pupils in a class were asked how they travel to school. The results were
recorded in the table below.
Car
13
Bus
6
Train
5
Walk
8
If a pupil in the class was picked at random, what is the probability
that one of them walked to school as a percentage?
2007 Federal Income Tax Table
Single:
Over But not over The tax is
$0 $7,825 10% of the amount over $0
$7,825 $31,850 $788 + 15% of the amount over $7,825
$31,850 $77,100 $4,386 + 25% of the amount over $31,850
$77,100 $160,850 $15,699 + 28% of the amount over $77,100
$160,850 $349,700 $39,149 + 33% of the amount over $160,850
$349,700 And Over $101,469 + 35% of the amount over $349,700
Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.
1. Find her earned income level.
2. Entered the base amount. = $
3. Found the amount over $ = $
4. Multiplied line 3 by 25% = $
5. Added Lines 2 and 4 = $
Tax= $ 7,173.5
Step-by-step explanation:
Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to
$ 77,100.
Tax for $ 31,850 is $ 4,386
Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over
25 % of $ 11,150= $ 2,787.5
Total Tax= $ 4386 + $ 2787.5= $ 7,173.5
Six friends share 3/4 of a pound of roasted almonds. What fraction of a pound does each friend receive
Answer: 1/8 pounds of roasted almonds
Step-by-step explanation:
There are six friends and each of them are to receive and equal piece out of a 3/4 pound of roasted almonds.
The almonds each friend will get will therefore be the 3/4 pack divided by 6:
= 3/4 ÷ 6
= 3/4 * 1/6
= 3/24
= 1/8 pounds of roasted almonds
When dividing by a number, you can instead multiply by the inverse of that number.
1. The equation y = 2x + 6 represents a function.
a. Complete the x and y table:
х
y
2
10
15
21.5
Answer:
Step-by-step explanation:
x | y
2 | 10
15| 15
21.5 | 17.5
Follow the steps and finish the solution.
7(x-3) = 28
7x-21 = 28
Distributive property
7X=49
Addition property of equality
Division property of equality
X= -
What is the value of x?
O 7
O 9
O 42
056
Answer:
7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7
2(4x+5)=9(3x+2)? I need help
Answer:
[tex]x=-\frac{8}{19}[/tex]
Step-by-step explanation:
2(4x + 5) = 9(3x + 2)
Solve for x
___________________
We have an alrebaric expressio and are asked to solve for x, which to do this, we need to isolate x.
2(4x + 5) = 9(3x + 2)
Distribute :
(2(4x) + 2(5)) = (9(3x) + 9(2))
8x + 10 = 27x + 18
Subtract 10 from both sides :
8x = 27x + 8
Subtract 27x from both sides :
-19x = 8
8 = -19x
Divide both sides by -19 :
[tex]x=-\frac{8}{19}[/tex]
Write the quadratic equation and solve by using the general formula. "Find two consecutive numbers in which the double of the square of the smaller number plus the square of the greater number is 121"
Answer: 6 and 7
Step-by-step explanation:
Let the numbers be x and x + 1
We can form and equation as:
2(x²) + (x+1)² = 121
2x² + (x + 1)(x + 1) = 121
2x² + x² + x + x + 1 = 121
3x² + 2x = 121 - 1
3x² + 2x = 120
3x² + 2x - 120 = 0
3x² - 18x + 20x - 120 = 0
3x(x - 6) + 20(x - 6)
Therefore, x - 6 = 0
x = 0 + 6
x = 6
The numbers are 6 and 7
The two numbers given in the statement is required.
The two numbers can be [tex]6,7[/tex] or [tex]-\dfrac{20}{3},-\dfrac{17}{3}[/tex]
Quadratic equationLet [tex]x[/tex] be the first number
[tex]x+1[/tex] be the next consecutive number
From the statement we get
[tex]2x^2+(x+1)^2=121\\\Rightarrow 2x^2+x^2+2x+1=121\\\Rightarrow 3x^2+2x-120=0\\\Rightarrow x=\dfrac{-2\pm \sqrt{2^2-4\times3\left(-120\right)}}{2\times3}\\\Rightarrow x=6,-\dfrac{20}{3}[/tex]
If [tex]x=6[/tex]
the other number is [tex]x+1=6+1=7[/tex]
If [tex]x=-\dfrac{20}{3}[/tex]
the other number is [tex]x+1=-\dfrac{20}{3}+1=-\dfrac{17}{3}[/tex]
Learn more about quadratic equations:
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The triangles are similar. Find the missing side.*
- 36
- 25
- 29
Step-by-step explanation:
[tex] \frac{30}{6} = \frac{x}{5} \\ x = 25[/tex]
Solve the equation
4y - 7 = 15
Justify your answer
[tex] \tt \dashrightarrow 4y - 7 = 15[/tex]
[tex] \tt \dashrightarrow 4y = 15 + 7[/tex]
[tex] \tt \dashrightarrow 4y = 22[/tex]
[tex] \tt \dashrightarrow y = \cancel{\dfrac{22}{4}}[/tex]
[tex] \tt \dashrightarrow y = \dfrac{11}{2}[/tex]
[tex] \tt \dashrightarrow y = 5.5[/tex]
[tex] \large \underline{\boxed{\bf{y = 5.5}}}[/tex]
Hence, value of y = 5.5.
Answer: y = 5 ½ or y = 5.5
Step-by-step explanation:
4y - 7 = 15
Add 7 to both sides of the equation.
4y = 22
Divide both sides by 4
y = 5.5
Substitute y in the original equation.
4(5.5) - 7 = 15
22 -7 = 15
True.
There is 3/4 of a pizza. 1/3 of the pizza has pepperoni on it. How much
of the pizzas has pepperoni on it?
Answer:
4/12
Step-by-step explanation:
math is extremely confusing
Answer;;;;
explained
Tenley wants to exercise at least 15 hours per week. She walks at a speed of three miles per hour and bikes at a speed of 10 miles per hour. She wants to cover at least 90 miles total in her weekly workouts, biking no more than 10 hours and walking no more than 12 hours.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of hours spent on walking and let y represent the number of hours spent on biking.
Tenley wants to exercise at least 15 hours per week, therefore:
x + y ≥ 15 (1)
Tenley cover at least 90 miles total in her weekly workout, therefore:
3x + 10y ≥ 90 (2)
x ≤ 12, y ≤ 10 (3)
Plotting the above constraints using geogebra online graphing tool. The solution to the problem is:
(5, 10) , (12, 10), (12, 5.4), (8.57, 6.43)
isabella earned $44.00 for 4 hours of work how much was earned per hour
Answer:
$11
Step-by-step explanation:
44/4 = 11
Answer:
11 was earned per hour
Step-by-step explanation:
44 divided by 4 is 11
8.5×7/2 ____
please
Please hep I really need this answered
Answer: D) 1/32
Step-by-step explanation:
What is 6q+4-q+5 equals tooo PLEASE I REALLY NEED HELP THIS IS DUE TODAYY
Answer:
5q+9
Step-by-step explanation:
1. combine like terms
6q-q=5q and 4+5=9
2. combine those two
5q+9
is anyone able to help please!
Answer:
4480ft³
Step-by-step explanation:
formula: V=⅓Bh (B- base) (h-hight)
B=L×W, B=17.5×32= 560
h=24ft
V=⅓(L×W)h
V=⅓(560)24
V=⅓(13440)
13440÷3=4480ft³