Option A: [tex]28\sqrt{3}[/tex] is the expression equivalent to the expression [tex]4\sqrt{147}[/tex]
Explanation:
The expression is [tex]4\sqrt{147}[/tex]
To find the equivalent expression, let us solve the expression [tex]4\sqrt{147}[/tex]
The square root of 147 can be written as,
[tex]\sqrt{147} =\sqrt{49*3}[/tex]
Since, we know that 49 is a perfect square, we can write the above expression as,
[tex]\sqrt{147} =7\sqrt{3}[/tex]
Multiplying this value with the expression [tex]4\sqrt{147}[/tex], we have,
[tex]4\sqrt{147}=4(7\sqrt{3} )=28\sqrt{3}[/tex]
Thus, the expression which is equivalent to the expression [tex]4\sqrt{147}[/tex] is [tex]28\sqrt{3}[/tex]
Hence, Option A is the correct answer.
Big drop is twice as long as little drop how long is little drop?
The length of the Little Drop is unknown. However, the question defines that the Big Drop is twice the length of the Little Drop. The exact length cannot be factually stated without more information.
Explanation:The question states that the Big drop is twice as long as the little drop. Let's say that the length of Little Drop is represented as 'L'. We don't know the exact length of 'L', but we can say that the length of the Big Drop is twice this, which can be represented as 2L.
Since we don't have a specific measure given for either drops, the exact length of Little Drop can't be determined from the information provided. However, whatever it is, we understand that Big Drop is twice that length.
This question is a good demonstration of relative sizing in Mathematics, where we use one unknown quantity to express the size of another
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A rectangle is
2
5
inches long and
1
3
inches wide.
What is the area of the rectangle?
Enter your answer in the box as a fraction in simplest form.
in2
Answer:
2/15in^2
Step-by-step explanation:
Area of rectangle is given by:
where
A is the area of rectangle
l is the length of the rectangle
w is the width of the rectangle
As per the statement:
a rectangle is 2/5 inches long and 1/3 inches wide
then using area formula we have;
Answer:
the answer is 325
Step-by-step explanation:
Solve algebraically for x:3(x+1)-5x=12-(6x-7)
Answer:
x=4
Step-by-step explanation:
3(x+1)-5x=12-(6x-7)
3x+3-5x= 12-6x+7
-2x+3=19-6x
-2x+6x=4x
19-3=16
4x=16
16/4=4
x=4
Todd has 17 inches of rope. That’s 1/3 the length he needs. What is the total amount of rope needed
Answer:
51 inches of rope?
Step-by-step explanation:
If 17 inches is 1/3 if what he needs, then have 3 of 17 inches of rope which is
= 17 × 3= 51.. so it will be 3/3
Answer:
51 inches
Step-by-step explanation:
Total length of the rope possessed by Todd = 17 inches.
But what he has corresponds to [tex]\[\frac{1}{3}\][/tex] of his actual requirement.
Let his total requirement be represented by x.
Then [tex]\[\frac{1}{3} * x = 17\][/tex]
Simplifying,
[tex]\[x = 17 * 3\][/tex]
[tex]\[x = 51\][/tex]
Hence the total length of the rope required by Todd is 51 inches which is 3 times what he has currently.
what quadrilateral has one pair of parallel sides?
Answer: Trapezoid
Step-by-step explanation:
A trapezoid is a quadrilateral with one pair of parallel sides.
A parallelogram has two pairs of parallel sides
are y=2x+6 and 6t=2x+9 perpendicular
Answer:
Therefore,
[tex]y=2x+6[/tex] and
[tex]6y=2x+9[/tex] are not Perpendicular.
Step-by-step explanation:
Given:
[tex]y=2x+6[/tex] ............................Equation of line( 1 )
[tex]6y=2x+9\\y=\dfrac{1}{3}+\dfrac{3}{2}[/tex] ............................Equation of line( 2 )
Solution:
So the Equations are written in
[tex]y=mx+b[/tex]
Where m is the slope of the line
On Comparing we get
[tex]Slope = m1 = 2[/tex]
[tex]Slope = m2 = \dfrac{1}{3}[/tex]
So for the lines to be Perpendicular.
Product of slopes = - 1
m1 × m2 = -1
So Product of slopes of the given lines are
[tex]m1\times m2=2\times \dfrac{1}{3}=\dfrac{2}{3}[/tex]
Which is not equal to -1
Therefore,
[tex]y=2x+6[/tex] and
[tex]6y=2x+9[/tex] are not Perpendicular.
Elijah is looking up to the top of the Washington Monument. If the monument is 555 feet tall and the
angle of elevation from the point on the ground where Elijah is standing to the top is 74', how far is
he standing from the base of the monument?
Answer:
Elijah is standing from the base of the monument 159.14 feet
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
[tex]tan(74^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)
substitute the given values
[tex]tan(74^o)=\frac{555}{AC}[/tex]
solve for AC
[tex]AC=\frac{555}{tan(74^o)}=159.14\ ft[/tex]
therefore
Elijah is standing from the base of the monument 159.14 feet
A gondola plans to pick up 1410 ft3 (110 tons) of iron ore to deliver to a manufacturing plant. The 41-ft gondola has a width of 9.5 ft and a height of 5 ft.
Answer:
Vgondola=lwh
=(41)(9.5)(5)
=1947.5 ft3
Step-by-step explanation:
plz give me brainliest
Tracy has 26 pennies mark has 29 pennies who has the greater number of pennies
Answer:
Find what number is larger
Answer:
Mark
Step-by-step explanation:
29 is bigger than 26
Which describes the location of vertex M after translation
Answer:
A
Step-by-step explanation:
A horizontal translation of - 3 means to subtract 3 from the original x- coordinate.
A vertical translation of - 3 means to subtract 3 from the original y- coordinate, thus
M(2, 2 ) → M'(2 - 3, 2 - 3 ) → M'(- 1, - 1 ) → A
Please help meeeeeeeee
1 second = 2 megabytes
[tex]1\frac{1}{2}\ seconds=3\ megabytes[/tex]
2 seconds = 4 megabytes
Step-by-step explanation:
Given,
Time taken to download 5 megabytes = [tex]2\frac{1}{2}=\frac{5}{2}[/tex] seconds
[tex]\frac{5}{2}\ seconds = 5\ megabytes[/tex]
Multiplying both sides by [tex]\frac{2}{5}[/tex] to find unit rate
[tex]\frac{2}{5}*\frac{5}{2}\ second = \frac{2}{5}*5\\1\ second = 2\ megabytes[/tex]
1 second = 2 megabytes
[tex]1\frac{1}{2}\seconds = \frac{3}{2}\ seconds[/tex]
[tex]\frac{3}{2}\ seconds = \frac{3}{2}*2[/tex]
[tex]\frac{3}{2}\ seconds = 3\ megabytes[/tex]
[tex]1\frac{1}{2}\ seconds=3\ megabytes[/tex]
2 seconds = 2*2 megabytes
2 seconds = 4 megabytes
Keywords: fraction, multiplication
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find the area of a parallelogram if a base and corresponding altitude have the indicated lengths base 1 1/2 feet , altitude 6 inches
The area of parallelogram is 108 square inches
Solution:
The formula for area of parallelogram is:
[tex]Area = base \times height[/tex]
From given,
[tex]Base = 1\frac{1}{2}\ feet = \frac{2 \times 1 + 1}{2} = \frac{3}{2}\ feet[/tex]
[tex]Height = 6\ inches[/tex]
Convert feet to inches
1 feet = 12 inches
[tex]\frac{3}{2}\ feet = \frac{3}{2} \times 12\ inches = 18\ inches[/tex]
Therefore, area of parallelogram is:
[tex]Area = 18 \times 6\\\\Area = 108[/tex]
Thus area of parallelogram is 108 square inches
State whether the number is a solution to the given inequality
X>-17;-14
Answer:
it is a solution
Step-by-step explanation:
When you put the number where x is, you get ...
-14 > -17 . . . . a true statement
Since this statement is true, x=-14 is a solution.
The number -14 is a solution to the inequality X > -17 in mathematics as it falls within the range of numbers greater than -17.
Explanation:In the realm of mathematics, inequalities define a range of values that can be a solution. In this case, the inequality is X > -17. This means any number greater than -17 is a solution to the inequality. If we consider -14, it falls within this range because -14 is greater than -17. Therefore, yes, -14 is a solution to the given inequality.
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Choose the expression that represents a linear expression.
9x − 2
3x2 + 4x − 5
5x3 + 6x2 − 7x + 8
4x4 − 5x3 + 6x2 − 7x + 8
Answer:
Step-by-step explanation:
A linear expression has the highest power of the variable to 1, i.e ax+b
Then only the first option is in a linear expression format
9x-2
The linear expression from the given options is 9x - 2.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given are four expressions consisting of variable x.
Linear expressions are those expressions for which the highest degree of the variable in the expression is 1.
Look at the expressions with the power of the variable equals one and no other term in the expression has power of the variable more than 1.
The expression is 9x - 2.
In 3x² + 4x - 5, the highest degree of the variable is 2.
In 5x³ + 6x² - 7x + 8, highest degree of the variable is 3.
In 4x⁴ - 5x³ + 6x² - 7x + 8, highest degree of the variable is 4.
Hence the linear expression is 9x - 2.
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Together, teammates Pedro and Ricky got 2686 base hits last season. Pedro had 278 more hits than Ricky. How many hits did each player have?
Final answer:
Pedro had 1,482 hits, while Ricky had 1,204 hits. We determined these numbers by setting up a system of linear equations and solving for both players' hits using substitution.
Explanation:
To solve the problem of determining how many base hits teammates Pedro and Ricky had last season, we can set up a system of linear equations. Let's let P represent the number of hits Pedro had, and R represent the number of hits Ricky had. According to the problem, together they had 2,686 hits, so we can write the first equation as:
P + R = 2,686
The second piece of information tells us that Pedro had 278 more hits than Ricky, which gives us the second equation:
P = R + 278
We can substitute the second equation into the first equation to find the value of R:
P = (R + 278)
(R + 278) + R = 2,686
2R + 278 = 2,686
2R = 2,686 - 278
2R = 2,408
R = 1,204
Now, we know Ricky had 1,204 hits. To find out how many hits Pedro had, we substitute R's value back into the second equation:
P = 1,204 + 278
P = 1,482
So, Pedro had 1,482 hits and Ricky had 1,204 hits.
solve -(3+8n)=-6(2n+1)-5
Answer:
n= -2
Step-by-step explanation:
Find the value of ‘c’ such that the expression is a perfect-square trinomial
x^2+6x+c
c= __
c = (x + 3)^2
Step-by-step explanation:
(6/2)^2 = (36/4)
= 9
=x^2 + 6x + 9
= (x + 3)(x + 3)
c = (x + 3)^2
Jim owns a restaurant on the edge of a canyon. He wants to install a cable car over the canyon. He needs to know the width of the canyon.
The width of the canyon is 315 ft.
What is an isosceles triangle?An isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
Given that, Jim owns a restaurant on the edge of a canyon. He wants to install a cable car over the canyon. He needs to know the width of the canyon. (please refer to the figure attached)
m ∠ ABC = 180°-80° (Linear pair)
m ∠ ABC = 100°
In Δ ABC,
∠ A + ∠ B + ∠ C = 180° (sum of interior angles of a triangle)
∠ A = 180°-(100°+40°)
∠ A = 40°
Since, ∠ A = 40° and ∠ C = 40°
Therefore, ∠ A = ∠ C
Therefore, AB = BC (Side opposite to equal angles are equal)
That means, Δ ABC is an isosceles triangle
∵ BC = 315 ft
∴ AB = 315 ft
AB is the width of the canyon.
Hence, The width of the canyon is 315 ft.
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An oil barrel contains 31.6 gallons of oil. One gallon is equal to 3.8 L. How many liters of oil are in the barrel? Round your answer to the nearest tenth.
Final answer:
To convert gallons to liters, use the conversion factor of 1 gallon being equal to 3.8 liters to find that there are approximately 120.1 liters of oil in the barrel.
Explanation:
To convert gallons to liters, we need to use the conversion factor of 1 gallon being equal to 3.8 liters.
Calculate the total liters in the barrel: 31.6 gallons * 3.8 liters/gallon = 120.08 liters
Therefore, there are approximately 120.1 liters of oil in the barrel.
How do you write 984 in scientific notation
Answer: 9.84 x 10²
Step-by-step explanation: To write 984 in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.
So here we have 9.84.
Next, count the number of places that we would need to move the decimal point in 9.84 in order to get back to the original number, 984.
Since we would need to move the decimal point two places to the right to get back to the original number, we have an exponent of 2.
Notice that our exponent is positive because we would need to move the decimal point to the right.
Now, scientific notation is always expressed as a power of 10. In this case, we have 10 to the 2nd or 10 to the 2nd power.
So 984 can be written in scientific notation as 9.84 x 10².
(THIS ONE FIRST)The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?
Recall the formula Cube volume = s cubed.
s = RootIndex 3 StartRoot 27 EndRoot
s = 3 + 3 + 3
s = StartRoot 27 EndRoot
s = 3 times 3 times 3 times 3
Yo sup??
The answer to your question is option 1 ie
s=rootindex 3 startroot 27 endroot
because we know that
Volume of cube=s^3
27=s^3
s=27^1/3
Hope this helps.
Answer: A? It’s A
Step-by-step explanation:
The given expression represents the area. Find the side length of the square.
The length of one side is _______.
Answer:
2x + 5
Step-by-step explanation:
Make sure you remember the area of a square with side which is [tex]s^{2}[/tex]. Once you figure that out, you need to find the length of a side, make sure you factor the expression of the area as a perfect-square trinomial.
An example of that is...
[tex]a^{2} +2ab+b^{2}[/tex] [tex]= (a +b)^{2}[/tex]
^^key point^^
Break it down and take the length out of the Square of Sum and you should get your answer.
Example: Use Square of Sum and get [tex](2x+5)^{2}[/tex] then, get rid of parentheses >> 2x + 5 and you should get your answer :)
17. Jake walks 3/10 mile each day for 8 days.
How far does Jake walk?
Answer:
2.4 miles
Step-by-step explanation:
3/10 miles per day * 8 days = 2.4 miles
Answer:
24/10= 2.4 miles
Step-by-step explanation:
Multiply 3/10 by 8 which can also be made as 8/1 so
3*8=24
10*1=10
24/10 can be simplified to 2.4
What is 15.35=x -1.84
Answer:
-8.34
Step-by-step explanation:
Divide -1.84 by 15.35 and you will get -8.342391304 and then round to whatever (is round to -8.34) and that’s your x value.
Simplify the expression 9k(8k+7)
Answer:
135k
Step-by-step explanation:
9k*8k=72k
9k*7=63k
72k+63k=135k
Answer:
72k²+7
Step-by-step explanation:
Multiply 9k and 8k. After that, you will get 72k² because there are two k numbers. so you leave +7 and put that in the equation then you get 72k²+7.
9 x 44 mentally using distributive property to solve and show steps
Answer:
Step-by-step explanation:
9 * 44 =
9 (40 + 4) =
9(40) + 9(4) =
360 + 36 = 396
Final answer:
To mentally calculate 9 x 44, use the distributive property by multiplying 9 by 40 and 9 by 4, then adding the results to get 396.
Explanation:
The question asks how to mentally calculate 9 x 44 using the distributive property. To do this, you can break down the multiplication into simpler parts. First, use the distributive property to express 44 as the sum of 40 and 4. Multiply 9 by each part:
9 x 40 = 360
9 x 4 = 36
Then, add the two results together:
360 + 36 = 396
So, 9 x 44 equals 396.
Aiko had $20 dollars to buy candles returned 2 candles for which she had paid $4.75 each. Then she brought 3 candles for $3.50 each and I candle for $5.00. How much money Aiko have then?
Aiko has -$5.50 after buying the candles.
Explanation:To find out how much money Aiko has after buying candles, we need to calculate the total amount spent on the candles and subtract it from the initial $20.
Aiko initially had $20. She returned 2 candles for $4.75 each, so she got back 2 x $4.75 = $9.50.
Then, she bought 3 candles for $3.50 each, which amounts to 3 x $3.50 = $10.50.
Finally, she bought 1 candle for $5.00.
The total amount spent on candles is $4.75 x 2 + $3.50 x 3 + $5.00 = $9.50 + $10.50 + $5.00 = $25.50.
To calculate how much money Aiko has left, we subtract the total spent from the initial amount: $20 - $25.50 = $-5.50.
Therefore, Aiko owes $5.50 after buying the candles.
Find the smallest zero of f(x + 5). x =
Answer:
The answer is -5.
Find the value of x.
A. 39
B. 21
C. 40
D. 119
Answer:
the answer is D 119
hope it helps!
The sum of the interior angles of a triangle is equal to 180 degrees. Using this property, we can solve for the unknown angle in the triangle. In this case, the unknown angle is x. By setting up an equation and solving for x, we can determine that the value of x is B) 21.
The answer is B. 21.
The sum of the angles in a triangle is 180 degrees. So, we have the following equation:
(5x+14) + 40 + x = 180
Combining like terms, we get:
6x + 54 = 180
Subtracting 54 from both sides, we get:
6x = 126
Dividing both sides by 6, we get:
x = 21
Therefore, the value of x is 21.
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