Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
The area of the entire figure is 1 square unit
Answer:
Area of shaded part = 0.42 unit²
Step-by-step explanation:
Given:
Length of shaded part = 0.7 unit
Width of shaded part = 3 x 2 = 0.6 unit
Find:
Area of shaded part
Computation:
Area of rectangle = L x B
Area of shaded part = 0.7 x 0.6
Area of shaded part = 0.42 unit²
• How much do customers have to spend in order to raise $1,000 for the pet rescue program? Amount Spent (dollars) 120 Amount Donated (dollars) 1000
Complete question :
a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program?
Answer:
$40000
Step-by-step explanation:
Offer :
For every $120 spent ; $3 is donated
In other to raise $1000 ; $x would have to be spent ; we can obtain the value of x using cross multiplication ;
$120 = $3
$x = $1000
Cross multiply
$(120 * 1000) = $3 * x
$120000 = $3x
x = 120000 / 3
x = 40,000
Hence, in other to raise $1000 ; $40000 would have to be spent by customers.
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
Answer:
11.6m
Step-by-step explanation:
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
We solve the above question using the Trigonometric function of Sine.
sin θ = Opposite/ Hypotenuse
Hypotenuse = Length of the ladder = 13.5m
Opposite = d
θ = 59° 22'
= 59° + 22/60
= 59° + 0.367
= 59.367°
Hence,
sin 59.367 = d/13.5m
d = sin 59.367 × 13.5m
d = 11.616057416m
Approximately = 11.6m
Therefore, the distance d the ladder goes up the wall is 11.6m
Sorry if the pictures a little weird looking, I was in a rush .
help please I gotta get my grade up!
First step: you got to add y to both sides in the math problem Ex: 15x - y + y < 12 + y
Second step: simplify 15x < 12 + y
Third Step: This you got to divide both sides by 15 like this: 15x/15 < 12/15 + y/15
Last and Fourth step: Simplify and thats your answer x < 12 + y/15
Solve for x.
16 = -2x - 1
Solve for x.
16 = -2x - 1
pls
Answer:
1. 7
Step-by-step explanation:
Answer:
x = 7 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
10000000000-188888 10 points
Answer:
I think the calculation answer will be 9,999,811,112
A reflection is a flip over the
Y-axis
Line of reflection
X-axis
Answer
LINE OF REFLECTION
Step-by-step explanation:
In geometry, reflection basically just means flipping things over a line.
Find h. 11 in. h = [?] in. 1 1 1 14 in. Enter
Answer:
You know that the Pythagorean Theorem is:
a²+b²=c²
,
Where:
a
is the length of one of the legs,
b
is the length of the other leg, and
c
is the length of the hypotenuse.
You know the lengths of the two legs are
7 and 11
, so we'll say that
a is 7 , and b is 11
Knowing that, we can plug those into our equation and simplify like so:
7²+11²=c²
49+121=c²
170=c²
√170=c
c=13.0384
Answer:
√72Step-by-step explanation:
Use Pythagorean:
h² + (14/2)² = 11²h² + 49 = 121h² = 121 - 49h² = 72h = √72 inWhat is the solution to the equation?
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]
Take cube,
[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]
x + 4 = - (2x + 8)
x +4 = 2x *(-1) + 8 *(-1)
x+ 4 = -2x - 8
x +2x+4 = - 8
3x + 4 = - 8
3x = - 8 -4
3x = -12
x = -12/3
x = -4
If the area of square ABCD is 50, what is the equation for ⊙R?
Please, if possible provide an explanation or link to something that explains it.
Thank you!
9514 1404 393
Answer:
(x -2)² +(y -4)² = 25
Step-by-step explanation:
The area of a square is half the product of the diagonals, so that product is 50·2 = 100. This is the square of the diameter, so the square of the radius is 100/4 = 25. Then the circle equation is ...
(x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r
(x -2)² +(y -4)² = 25
_____
The attached figure has A, B, C, D located on grid points for convenience in creating the figure. These points seem to differ slightly from the supplied diagram. The dimensions are the same, even if the figure is slightly rotated.
Answer:
(x -2)² +(y -4)² = 25
Step-by-step explanation:
last option on the drop-down menu
Can you help me figure it out? What is the side length of side AE?
Answer:
18
Step-by-step explanation:
maybe i dont really know
Pls help me find the area
Answer:
27
Step-by-step explanation:
6x3=18, which means the bottom half of the shape is 18. The top half is a triangle, and triangles are half a square or rectangle. So again, 6x3=18. 18/2=9. So 18+9=27. So the ANSWER IS 27
i need the answerrrrr
Answer:
the distance between the points is 9.84885780 and so on so if you round to the nearest tenth it would be 9.8 :)
Step-by-step explanation:
The area of a circle is 3.14 square yards. What is the circle's diameter?
Answer:
d≈2yd
Step-by-step explanation:
Answer:
d≈2yd
Step-by-step explanation:
Find the length of side a.
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer: C. 5
Step-by-step explanation:
We'll use the Pythagorean Theorem to find the missing side.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
(simplify)
[tex]a^2 = \sqrt{25}[/tex]
a = 5
what number can go into 48 and 24
Answer:
1, 2, 3, 4, 6, 8, 12, 16
Step-by-step explanation:
just factor it
Match the word to its description.
The most frequent value = mode
The middle value = median
The average = mean
The difference between the lowest and highest value = range
Answer:
Mode is the most frequent value
Mean is the average
Median Is the middle value
Range is the difference between etc...
$120 for mowing 4 lawns =$_ per lawn
please tell me what this answer is
Please help ! (Pls DONT send a link)
Answer:
33
because every other number is a multiple of five, but not 33
Step-by-step explanation:
Michaela and Dema each multiplied 1/3 x 4/3. Michaela got 4/9 and Dema got 5/6. Which student found the correct answer? EXPLAIN
Answer: Michaela's answer
Step-by-step explanation:
Dema added the numbers together
find the equation that represents the proportional relationship between in this graph
Answer:
y = 7/8x
Step-by-step explanation:
...................
A 25 foot ladder and a 10 foot ladder are leaning against a building at the same angle,
and the base of the 25 foot ladder is 7.5 feet from the building. How far is the base of
the 10 foot ladder from the building?
Answer:
33.33 feet
Step-by-step explanation:
First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33
A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?
Question 1 options:
A: 39 cm cubed
B: 16 cm cubed
C: 140 cm cubed
Answer: 140
Step-by-step explanation:
HELPPP MEEE ASAP PLEASE HELP
Answer:
look up how to find the area if a kite thats what i do
Step-by-step explanation:
Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes
Answer:
I believe the answer is y=x+-13
Step-by-step explanation:
HELPEOEODODOEKEKEL PLEASE
Answer:
Lily earns $225
y represents the amount that Lily earns
x represents the painting's price
Step-by-step explanation:
Which value is equivalent to (36)3?
A.
32
B.
33
C.O 39
318
Answer:
108
Step-by-step explanation:
36(3)=108
The correct answer is not on the answer choice.
Whichever answer is the closest to 108, choose it.
please help i’ll give brainliest if you help thanks
Answer:
84
Step-by-step explanation:
What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.
Please let me know if you need any more help. Hope this helps!