Answer:
36Step-by-step explanation:
[tex]6^2 =6\times 6\\\\= 36[/tex]
Your car gets 15 miles per gallon and your friend's car averages 25 mpg. You decide
head off to St. George Island on vacation, 361 miles away. If gas costs $2.79/gallon and you decide to split the
gas costs, how much money will you save by driving your friend's car?
Answer:
the answer is $27.90
Step-by-step explanation:
if you do 15 times 2.79 you will get $41.85
then do 25 times 2.79 and you will get $69.75
then subtract 69.75 from 41.85 and your answer will be $27.90
i hope this helps this is the only way i could find the answer!
$29.4864 money will you save by driving your friend's car.
Given that, your car gets 15 miles per gallon and your friend's car averages 25 mpg.
You decide to go on a road trip to St. George Island, which is 361 miles away.
What are Gallons?A unit of volume for measuring liquids. 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces. 1 US gallon = 231 cubic inches = 3.785411784 liters exactly.
Gallons needed for your car =361/15=24.06 gallons
Cost of 24.06 gallons of gas=24.06×2.79=$69.774
Gallons needed for friends car =361/25=14.44 gallons
Cost of 4.44 gallons of gas=14.44×2.79=$40.2876
Hence, while driving a friend's car you will save 69.774-40.2876=$29.4864
Therefore, $29.4864 money will you save by driving your friend's car.
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an inch worm is how long in general
Answer:
A inch
Step-by-step explanation:
if a is an even natural number such that a|208 and (a,b)=1, then find the value of b
this is gauss theroeam
Answer:
b=13
Step-by-step explanation:
2|208
2|104
2|52
2|26
|13
208=2^4×13=16×13
now (16,13)=1
as a is an even number so a=16
b=13
∵g.c.d of 16 and 13=1
or (16,13)=1
A file that is 276 megabytes is being dowloaded . If the downloaded is 16.7% complete how many megabytes have been dowloaded? Round ur answer to the nearest tenth ( can ya please hurry and answer thank you)
Answer: 46.1 megabytes
Step-by-step explanation:
Answer ASAP, will give brainliest
Answer:
Step-by-step explanation:
1) Diagonal bisect the angles of Rhombus
∠CAB = ∠CAD
∠CAB = 71
2) ∠DAB = ∠CAB + ∠CAD
∠DAB = 71 + 71 = 142
In Rhombus, adjacent angles are supplementary
∠DAB + ∠ABC = 180
142 + ∠ABC = 180
∠ABC = 180 - 142
∠ABC = 38
3) In rhombus, opposite angles are congruent
∠ADC = ∠ABC
∠ABC = 38
In rhombus, diagonal bisect angles
∠BDC = (1/2)*∠ADC
∠BDC= 38/2
∠BDC = 19
4) Diagonals bisect each other at 90
∠DEC = 90
5) Diagonals bisect each other
BE = DE
BE + DE = DB
7x -2 +7x -2 =24 {add like terms}
14x - 4 =24
14x = 24+4
14x = 28
x = 28/14
x = 2 m
6) AB = 13m
BE = 7x - 2 = 7*2 -2 = 14 -2 = 12 m
In right angle ΔAEB, {use Pythagorean theorem}
AE² + BE² = AB²
AE² + 12² = 13²
AE² + 144 = 169
AE² = 169 - 144
AE² = 25
AE = √25
AE = 5 m
Diagonals bisect each other
AE = EC
AC = 2*5
AC = 10 m
7)Side = 13 m
Perimeter = 4*side
= 4*13
Perimeter = 52 m
8) d1 = AC = 10 m
d2 = DB = 24 m
Area = [tex]\frac{d_{1}*d_{2}}{2}[/tex]
[tex]=\frac{10*24}{2}\\[/tex]
= 10 *12
= 120 m²
Consider the equation: x 2 − 6 = 2 − 18 x x 2 −6=2−18xx, squared, minus, 6, equals, 2, minus, 18, x 1) Rewrite the equation by completing the square. Your equation should look like ( x + c ) 2 = d (x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or ( x − c ) 2 = d (x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d. 2) What are the solutions to the equation? Choose 1 answer: Choose 1 answer: (Choice A) A x = 9 ± 89 x=9±89x, equals, 9, plus minus, 89 (Choice B) B x = − 9 ± 89 x=−9±89x, equals, minus, 9, plus minus, 89 (Choice C) C x = 9 ± 89 x=9± 89 x, equals, 9, plus minus, square root of, 89, end square root (Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Answer:
1. (x+9)^2 = 89
2. (Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Step-by-step explanation:
x^2 - 6 = 2 - 18x
1) rewrite the equation by completing the square
x^2 - 6 = 2 - 18x
x^2 + 18x = 2+6
x^2 + 18x = 8
Find the half of the coefficient of x and square it
18x
Half=9
Square half=(9)^2
=81
Add 81 to both sides
x^2 + 18x = 8
x^2 + 18x + 81 = 8 + 81
x^2 + 18x + 81 = 89
(x+9)^2 = 89
Check:
(x+9)(x+9)=89
x^2 + 9x + 9x + 81=89
x^2 + 18x +81 =89
2) (x+9)^2 = 89
√(x+9)^2 = √89
x+9=√89
x=√89 - 9
It can be rewritten as
x= -9 ± √89
(Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?
Answer: (-6,8)
Step-by-step explanation:
Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distanceTranslation rules are
Left c units : [tex](x,y)\to(x-c,y)[/tex]
Down c units : [tex](x,y)\to(x,y-c)[/tex]
The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:
[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]
Hence, the image point is (-6,8).
Sylvia burns 6 calories per minute when she runs, How many calories does she burn when
she runs for 15 minutes?
Type the correct answer in the box. Use numerals instead of words. Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).
By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is 5.
What is PEDMAS Rule?PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.
Given
7 + (5 – 9)2 + 3(16 ÷ 8)
By using PEDMAS rule,
= 7 + (-4)2 + 3(2)
= 7 + (-8) + 6
= 7 - 8 + 6
= -1 + 6
= 5
By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is 5.
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The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,
⇒ 29
Since, We knw that,
PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.
We have to given that,
Expression is,
7 + (5 - 9)² + 3(16 ÷ 8)
Now, Simplify By using PEDMAS rule,
= 7 + (5 - 9)² + 3(16 ÷ 8)
= 7 + (-4)² + 3(2)
= 7 + 16 + 6
= 23 + 6
= 29
Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29
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5000 X 10 X 10 X 50
Answer:
25000000
5000 X 10 is 50000
50000 X 10 is 500000
500000 X 50 is 25000000
Step-by-step explanation:
Answer:
25000000
Step-by-step explanation:
A way to tackle this is to split all the numbers up into a digit and a power of 10.
5000 = 5*1000, and 1000 can be written as 10^3
10 = 1*10, and obviously 10 is 10^1
50 = 5*10, where 10 is 10^1
Now we have (5*10^3) * (1 * 10) *(1 *10)*(5 *10)
Gathering all the digits, we have 5*1*1*5, giving us 25
Gathering all the powers of 10, we have 10^3*10*10*10 = 10^6
expanding and multiplying gives us the final answer of 25000000
What is the slope of the line? x + 3 y = 10 x+3y=10x, plus, 3, y, equals, 10 Choose 1 answer: Choose 1 answer: (Choice A) A 1 3 3 1 start fraction, 1, divided by, 3, end fraction (Choice B) B 1 10 10 1 start fraction, 1, divided by, 10, end fraction (Choice C) C − 1 10 − 10 1 minus, start fraction, 1, divided by, 10, end fraction (Choice D) D − 1 3 − 3 1
Answer:
-1/3Step-by-step explanation:
The standard from of equation of a line written in slope-intercept format is expressed as y = mx+c where c is the slope of the line and c is the y-intercept.
Given the equation of the line x+3y = 10, to get the slope of the line, we need write he equation in standard from first by making y the subject of the formula as shown;
[tex]x+3y = 10\\\\subtract\ x \ from \ both \ sides\\\\x+3y-x = 10 -x\\\\3y = -x+10\\\\Divide \ through\ by \ 3\\\\\frac{3y}{3} = -\frac{x}{3} +\frac{10}{3} \\\\[/tex]
[tex]y = -\frac{1}{3}(x) +\frac{10}{3} \\[/tex]
Comparing the resulting equation with y = mx+c, the slope 'm' of the equation is -1/3
The slope of the line is -1/3.
the correct option is D.
To find the slope of the line given by the equation x + 3y = 10, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.
Let's rearrange the equation to solve for y:
x + 3y = 10
3y = -x + 10
y = (-1/3)x + 10/3
Comparing this equation to the slope-intercept form, we can see that the coefficient of x (-1/3) represents the slope.
Therefore, the slope of the line is -1/3.
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Please answer this question now
Answer:
54 degrees
Step-by-step explanation:
Measure of arc DCB is 125*2 = 250.
So, measure of arc BAD is 360-250 = 110.
So, measure of arc AD is 110 - 56 = 54 degrees
Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organized the data in a scatter plot, where x represents the minutes spent listening and y represents the number of commercials. Then she used the graphing tool to find the equation of the line of best fit: y = 0.338x − 1.387. Based on the line of best fit, for approximately how many minutes will Nikki need to listen to the radio to hear 20 commercials?
Answer:
The number of minutes Nikki needs to listen to the radio to hear 20 commercials is 63.275 minutes
Step-by-step explanation:
The given dependent and independent variables are;
The number of minutes spent by Nikki listening = x
The number of commercials aired = y
The relationship between the independent variable, x ans the dependent variable, y, was given by the Nikki's graphing tool line of best fit as follows;
y = 0.338·x - 1.387
Therefore, the number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y is given as follows;
20 = 0.338·x - 1.387
20 + 1.387 = 0.338·x
0.338·x =20 + 1.387 = 21.387
x = 21.387/0.338 = 63.275 minutes
The number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y = 63.275 minutes.
Answer:
C. 63 minutes
Step-by-step explanation:
Solve: 3a^2-4b a= -6 b= -5 If you could also leave an explanation that would be great! Thank you for your time!
Answer:
128
Step-by-step explanation:
3a² - 4b
plug in values
3(-6)² - 4(-5)
use PEMDAS and simplify (-6)² first
3(36) -4(-5)
multiply
108 + 20
add
128
hope this helps :)
12. Write 0.8 as a fraction,
Pls explain in full detail.
Answer:
8/10
Step-by-step explanation:
10x10 is 100 8x10 would be 80 so 80/100=8/10
Answer:
8/10 = 4/5
Step-by-step explanation:
0.8 is 8-10th which means 8 divided by 10
reducing 8/10 to its lowest term since 8 and 10 has 2 as common factor, then
(8=2*4)/(10=2*5)
if 2 cancels out, then you are left with 4/5
help me please ;))) (yes im very rich that's why I'm giving out lots of points -_- (and brainly ;))
Answer:
(I) 17.25 miles
(ii) 1hr56mins20seconds
(III) 4hrs47mins38seconds
Step-by-step explanation:
(I) read from the lowest distance given
(ii) read from the longest time given
(III) added all times together to get total cycling time
Step-by-step explanation:
here,
shortest distance is 17.25 miles
the longest time is 1:56:20 hrs:mins:secs
total time is 4:47:38
Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour?
Answer:
Nina can run:
13 1/2 km in 1 hour
Step-by-step explanation:
4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2
proportions:
9/2 hours ⇔ 1/3 hour
N hours ⇔ 1 hour
N = (9/2)*1 / (1/3)
N = (9/2) / (1/3)
N = (9*3) / (2*1)
N = 27/2
27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2
Nina can run:
13 1/2 km/h
13 1/2 km in 1 hour
Nina can run [tex]13\frac{1}{2}[/tex] km in an hour
The distance Nina can run in an hour can be determined by dividing the distance she can run in 1/3 of an hour by 1/3
Distance Nina can run in an hour = distance run ÷ [tex]\frac{1}{3}[/tex]
[tex]4\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Convert the mixed fraction to an improper fraction [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex]
Convert the improper fraction back to an mixed fraction = [tex]13\frac{1}{2}[/tex] km
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solve for x 13x + 7 = 5x - 20
Answer:
13x + 7 = 5x - 20
Step-by-step explanation:
SOLVE for X
13x + 7 = 5x - 20
-------------------------
-5x -7
------------------------
8x=-27
x= -3.375 or -27/8
Answer:
x = -27/8
Step-by-step explanation:
combine the x terms. To do this, subtract 5x from both sides. We get:
8x + 7 = -20.
Next, subtract 7 from both sides, obtaining:
8x = -27, or x = -27/8
The focus of a parabola is (3,-7) and the directrix is y = -4.
What is an equation of the parabola?
Answer:
(a) (x -3)^2 = -6(y +5.5)
Step-by-step explanation:
The equation of a parabola can be written as ...
(x -h)^2 = 4p(y -k)
where (h, k) is the vertex, and p is the distance from the focus to the vertex.
The vertex is half-way between the focus and directrix, so is ...
(h, k) = (1/2)((3, -7) +(3, -4)) = (3, -5.5)
The focus is at y=-7, and the vertex is at y=-5.5, so the distance between them is ...
-7 -(-5.5) = -1.5
Then the equation for the parabola is ...
(x -3)^2 = 4(-1.5)(y -(-5.5))
(x -3)^2 = -6(y +5.5) . . . . matches the first choice
is 1 whole 1 by 3 considered as an integer??
Answer:
No it's not.
Step-by-step explanation:
[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]
Integers are set of numbers consisting
Whole numberNatural numberNegative numbersIt doesn't consist
Fractions &DecimalsHope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf No}[/tex]
Step-by-step explanation:
[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]
Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.
PLEASE HELP ASAP! If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4?
Answer:
12
Step-by-step explanation:
Hello, as the coefficient of the leading term is negative we know that the vertex of the parabola is a maximum. So we need to find the vertex.
This expression is maximum for
[tex]t=-\dfrac{b}{2a} \text{ where the parabola equation is}\\\\ax^2+bx+c=0[/tex]
So, here, it gives t = 8/2=4, and then, the maximum is
[tex]-4^2+8*4-4=-16+32-4=32-20=12[/tex]
So the answer is 12.
Thanks
the cost of cementing a wall 8 feet wide and 24 feet long at 14.40 a square yard is
will mark brainlist
Answer:
$307.20
Step-by-step explanation:
8×24=192
Convert 192 square feet to square yards, which is 21.3333
Then multiple: 21.333×14.40=307.1999
Then round to the nearest hundredths
The final answer is $307.20
A train moves at a speed of 90 km/hr. How far will it travel in 36 minutes?
Answer:
(90/60)*36 = 54 km
Step-by-step explanation:
Given that ΔABC is a right triangle with the right angle at C, which of the following is true?
1. tan A = 1/(tan B)
2. tan A = sin B
3. cos A = 1/(cos B)
4. sin B = 1/(sin A)
Answer:
1. tan A = 1/(tan B)
Step-by-step explanation:
By definition,
tangent A = opposite / adjacent = a / b
and
tangent B = opposite / adjacent = b / a
Therefore tangent A = a/b = 1/tan(B)
Answer: Tan a=tan b
I belive
Step-by-step explanation:
Fachorise completely
x^2y^2-1
Answer:
[tex](xy+1)(xy-1)[/tex]
Step-by-step explanation:
x²y²-1
=(xy)²-(1)²
=(xy+1)(xy-1)
HELP ME PLEASE The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet
Answer:
Length = 3.2feets ; width = 6feets
Step-by-step explanation:
Given the following :
Actual dimension of Mural:
8feets by 15feets
Scale drawing ratio of Mural :
2feets : 5feets
This means :
2 Feets on paper equals 5 Feets of actual drawing:
Therefore, with actual dimension of Length = 8feets ;
Length of scale drawing = (2/5) * 8 = 3.2feets
Actual dimension of width 15feets ;
Width of scale drawing = (2/5) * 15 = 6 Feets
Between what two consecutive integers on the number line is the graph of the sum sqrt(30) + sqrt(50)?
Answer:
sqrt(30)+sqrt(50) = 12.5482933869171364 which is between m and n 12 and 13
The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
Find d when v=70
Answer:
d = 245Step-by-step explanation:
d is directly proportional to the square of a speed v
d = av²
5 = a•10²
5 = 100a
a = 0.05
d = 0.05v²
d = 0.05•70²
d = 0.05•4900
d = 245
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answer:
25/4 laps or (6.25 laps)
Step-by-step explanation:
1 lap = 1 1/5 miles
kellyn plans to jog 7 1/2 miles
1 lap
number of laps = 7 1/2 miles x -------------- = 25/4 laps or (6.25 laps)
1 1/5 miles
The formula for the area (A) of a circle is A = π • r2, where r is the radius of the circle. Ronisha wants to find the area of a sector of a circle that has a central angle of π6 radians. Enter the number that Ronisha should multiply by to find the area of the sector of the circle. Round your answer to the nearest hundredth.
Greetings from Brasil...
Here we will apply rule of 3...
This formula, A = πR², its for the whole circle, that is, 360° (2π)
We want the area of only a part, that is, a circular sector whose angle π/6
sector area
2π ----- πR²
π/6 ----- X
2πX = (π/6).πR²
2πX = π²R²/6
X = π²R²/12π
X = πR²/12If Ronisha multiply the area by 1/12 she will get the area of sector with angle of π/6