Answer:
W = 9x^6y^4 yards
Step-by-step explanation:
Area of a rectangle = length × width
Area = 54x^9y^8 square yards
Length = 6x³y⁴ yards
Width = ?
Area of a rectangle = length × width
54x^9y^8 = (6x³y⁴)W
Divide both sides by 6x³y⁴
W = 54x^9y^8 / 6x³y⁴
= 54/6x^9-3y^8-4
= 9x^6y^4
W = 9x^6y^4 yards
The expression 9x^6y^4 represents the width of her rectangle in yards
On skates, Ian can travel `\frac{3}{4}`of a mile in 5 minutes. On his bike, he can travel `3\ \frac{1}{2}`miles in 12 minutes. How fast, in miles per hour, can Ian travel on skates AND on his bike?
Answer:
a) 9 miles/hour
b) 17.5 miles/hour
Step-by-step explanation:
The formula for speed = Distance (Miles) / Time(hours)
a) he can travel 3/4 of a mile in 5 minutes.
= 3/4 miles = 5 minutes
We convert 5 minutes to hour
= 60 minutes = 1 hour
5 minutes = x
Cross Multiply
60x = 5
x = 5/60
x = 1/12 hour
Hence, his skate speed =
3/4miles /1/12 hour
= 3/4 ÷ 1/12
= 3/4 × 12/1
= 9 miles/hour
b) On his bike, he can travel 3 1/2 miles in 12 minutes.
= 3 1/2 = 12 minutes
= 7/2 miles = 12 minutes
We convert 12 minutes to hour
= 60 minutes = 1 hour
12 minutes = x
Cross Multiply
60x = 12
x = 12/60
x = 1/5 hour
Hence, his skate speed =
7/2 miles /1/5 hour
= 7/2 ÷ 1/5
= 7/2 × 5
= 35/2 miles/hour
= 17.5 miles/hour
Express in simplest radical form square root 96/2
Answer:
√[(2*2)*(4*6)]
= 4 √6
Step-by-step explanation:
√96.
Sometimes it is better to ‘simplify’ by getting a coefficient multiplied by a smaller number within the radical. Other times, you’re really not simplifying, but making it more complicated. This is probably one of those times where leaving it as √96 is better.
If you had something like √196, you would want to change that form since it turns out that 196 is a perfect square.
Regardless, I’m assuming this is a problem for a class and your teacher/text book wants you to do the following……
You could start by factoring it in small steps within the radical sign.
If you find factors that are perfect squares, you can take them out of the radical.
You can find large factors if you want, but you can also start with small factors.
Probably the easiest number to factor out is 2 since 96 is an even number.
96/2 = 48.
square root 96 radical form
48 is also an even number, so you can factor another 2.
Now you have √[(2*2)*24]
If you can factor out larger numbers, it can save you a little time.
So from here let’s factor out a 4.
√[(2*2)*(4*6)]
= 4 √6
Solve for X . They are alternate angles
Answer:
x=28
Step-by-step explanation:hard to explain maybe look at another response, they would probably do better
1/3 divided by 2
I do not know what it is
Answer:
1/6
Step-by-step explanation:
The answer is 1/6 because 1/6 multiplied by 2 is 2/6 and 2/6 simplified is 1/3
Answer:
i believe its 1/5
Step-by-step explanation:
i believe so i don't know if it is completly true. hope this helps
At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a while, Jackie gets tired and decided to rent a bike to get to the south end of the trail. She cycles at an average speed of 15 mph. If Jackie gets to the south end of the trail in two hours, how far did she walk? (Round to two decimal places)
Answer:
3.08 milesStep-by-step explanation:
Total distance = 10 milesTotal time = 2 hoursDistance walked = xSpeed walked = 2 mphDistance cycled = 10 - xSpeed cycled = 15 mphUsing the given data we can have the equation below to the time:
x/2 + (10 - x)/15 = 230x/2 + 30(10 - x)/15 = 30(2)15x + 20 - 2x = 6013x = 60 - 2013x = 40x = 40/13x = 3.08 miles rounded to 2 decimal placesA new iPhone cost $700. There is 8% sales tax in Philadelphia. What is the total cost of the iPhone including tax
Answer:
756 dollars
Step-by-step explanation:
Answer:
$756
Step-by-step explanation:
700×0.08=56
700+56=756
Geometry I need help please
Answer:
Whats the problem?
Step-by-step explanation:
given the functions f(x)=2x-4 and g(x)= x+2 find the value of x
Show your work
x = 0 and x = 4
To find intersection equate them.
x² - 2x - 4 = 2x - 4
subtract 2x - 4 from both sides
x² - 4x = 0 → (take out common factor x)
x(x - 4 ) = 0 ⇒ x = 0 , x = 4
udligie 1s 12 , 1111
The area of an isosceles triangle is 240 cm. If the base of the triangle is 20 cm
the length of its equal sides,
Answer:
20३८३८३८३३८३८३८३८९२२
Step-by-step explanation:
82282922929293
Answer:
the length of its equal sides = 26 cm
Step-by-step explanation:
A = b*h/2
h = 2*A/b
h = *240/20
h = 26 cm
hypotenuse = [tex]\sqrt{10^2 + 24^2} = 26 cm[/tex]
What is the result of this subtraction?
6.3−(4.9−7.8)=
the answer chocies are ;
A
–3.4
B
–6.4
C
3.4
D
9.2
The sum of the measures of two angles is 178.2°. One angle has a measure of 40°. What is m , the measure in degrees of the second angle?
please answer as soon as possible! I will give brainliest to correct answer!
Answer:
138.2degrees
Step-by-step explanation:
178.2 - 40 = 138.2
can somebody plz go answer mine the one that is not answerd
Answer:
what is it about
Step-by-step explanation:
Find the product of the numbers in the third row.
Am I suppose to multiply then??
Answer:
Yes, product means multiply all three, 4*2*7=56
Step-by-step explanation:
Find the value of in the triangle shown below.
13
12
X
Answer:
D) 5
Step-by-step explanation:
a²+b²=c²
12²+b²=13²
144+b²=169
b²=169-144
b²=25
b=√25
b=5
Which graph does NOT represent a function?
Answer:
option 3
Step-by-step explanation:
Using the vertical line test, a function will only he passed through once, option 3 is passed through twice
Multiply: (x2 + 3x + 5)(5x2 + 3x – 1)
Answer:
3(x+3)(3x+x 2 +5)
Step-by-step explanation:
hope it helps
Answer:
5x^4+18x^3+33x^2+12x−5
Solve 8x − 2(x + 1) = 7x + 8. (5 points) Question 3 options: 1) 6 2) −6 3) 10 4) −10
Answer:
3.) 10
Step-by-step explanation:
8x-2(x+1) = 7x+8
8x-2x-1=7x+8
6x-1=7x+8
-1=1x+8
+1 +1
1x+9
/x
x=1+9
x=10
Can anyone help me please it would be helpful
Answer:
2.2 more kg
Step-by-step explanation:
0.8+3.95=4.75
6.95-4.75=2.2
hope I helped!!
Can y'all help me plz like i really need help im not lying pllzzz y'all and 30 points
Answer:
10,164
Step-by-step explanation:
What is the answer to this question ???
Answer:
4/5
Step-by-step explanation:
brooooooooooo whats 1234567890987654321234567890987654321234567890987654321234567898765676543234567654343456787898788765432345678 x 12343456565675656565434567890900909999999999999999999??
Answer: 1.523884e+160
Step-by-step explanation:
Answer:
Dunno. Too much work.
Step-by-step explanation:
Thanks for the points.
|(–3.86 + 6.82)| + |(4.02 – 12.45)|
Answer:
-5.47
Step-by-step explanation:
–3.86 + 6.82=2.96
4.02-12.45= -8.43
-8.43+2.96= -5.47
g= 3a - 4, for a
Solve for a
Equation
Answer:
Answer is a = -4
3a + 4 = 2a
Subtract 2a from each side
a + 4 = 0
Subtract 4 from each side
a = -4
Step-by-step explanation:
Answer:
a = 1/3g+4/3
Step-by-step explanation:
g=3a−4
Step 1: Flip the equation.
3a−4=g
Step 2: Add 4 to both sides.
3a−4+4=g+4
3a=g+4
Step 3: Divide both sides by 3.
3a /3 = g+4 3
a = 1 /3 g+ 4 /3
Oscar buys a dozen donuts for a party. Three fourths of the donuts are chocolate. How many donuts are chocolate?
Answer:
9
Step-by-step explanation
There is 12 in a dozen, so 3/4 out of 12 is 9. You can get this by doing 3/4 times 12, or .75 times 12.
Hope this helps!
Answer:
9
Step-by-step explanation:
3/4 divided by 12 is 9
plz brainllest
what is 4r + 3r + 7y + 5r - 2y - 6r ?
A. 5r + 5y
B. 29r - 27y
C. 27ry
Step-by-step explanation:
It's 6r+5y. But it's not in the option
Sally is 13 years old.
Tammy is 12 years old.
Danny is 10 years old.
Sally, Tammy and Danny share £28 in the ratio of their ages.
Tammy gives a third of her share to her mother.
How much should Tammy now have?
Answer:
$6.40
Step-by-step explanation:
13 + 12 + 10 = 35
28 / 35 = 0.8
0.8 * 12 = 9.6
9.6 * 2/3 = 6.4
The money Tammy has now if Sally is 13 years old. Tammy is 12 years old. Danny is 10 years old. Sally, Tammy, and Danny share £28 in the ratio of their ages. Tammy gives a third of her share to her mother is $4.57.
What is ratio?It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3.
Given:
The age of Sally = 13 years,
The age of Tammy = 12 years,
The age of Danny = 10 years,
Then according to the question
13x + 12x + 10x = 28
35x = 28
x = 4 / 7
One-third of Tammy's money = 12 × 4 / 7 ×1 / 3 = 2.285
Money left = 48 / 7 - 2.285 = 4.57
Therefore, the money Tammy has now, if Sally is 13 years old. Tammy is 12 years old. Danny is 10 years old. Sally, Tammy, and Danny share £28 in the ratio of their ages. Tammy gives a third of her share to her mother is $4.57.
To know more about Ratios:
https://brainly.com/question/13419413
#SPJ2
Please help due soon!!!
Answer: 1,-1,-7
Step-by-step explanation:
-3-2(-2)= -3+4= 1
-3-2(-1)= -3+2= -1
-3-2(2)= -3-4= -7
5 (3 - 2y) + 4y = 3
solve please!
Answer: y=2
Step-by-step explanation:
Using complete math and English sentences; use your available resources ( citation to explain )
How to simplify the following radical expression>>>
√-48
Answer:
We get that √48 = 2⋅2√3. Lastly, step three says to simplify, so we go ahead and multiply the 2⋅2 outside of the square root to get 4√3. That's it! We get that √48 = 4√3.
Step-by-step explanation:
Answer:
The correct answer is √48 = 4√3.
Solve for x. I NEED HELP ASAP!
Answer:
x = 105
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 7, thus
sum = 180° × 5 = 900°
Sum the interior angles and equate to 900
x + 102 + 165 + 123 + x + 11 + 128 + 161 = 900, that is
2x + 690 = 900 ( subtract 690 from both sides )
2x = 210 ( divide both sides by 2 )
x = 105
