Answers
Related Questions
Gfc to reduce fractions 28/14
Answers
14
28 = 2
14
What is 1.3 repeating as a fraction?
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1.333... = 1 + 0.333...
0.333... = x / * 10
3.333... = 10 x
3 + 0.333... = 10 x
3 + x = 10 x
3 = 9 x
x = 3/9
x = 1/3
Finally:
1.3 repeating = 1 1/3 = 4/3
In which figure is DE\\BC ? figure 1 figure 2 figure 3 figure 4
Answers
In Figure 4, in the triangle ΔABC, DE is parallel to BC, i.e., DE||BC.
A triangle is one of the most basic geometric figures, having 3 sides, 3 angles, and 3 vertices.
By the theorem of the triangle, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. Let's check the theorem holds for which triangle in the given figures.
Figure 1:
[tex]\frac{AD}{BD} = \frac{6}{15} =\frac{2}{5}[/tex]
[tex]\frac{AE}{CE} = \frac{6.6}{17.5} =\frac{66}{175}[/tex]
Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],
Here, in triangle ABC, DE is not parallel to BC.
Figure 2:
[tex]\frac{AD}{BD} = \frac{5}{12}[/tex]
[tex]\frac{AE}{CE} = \frac{6}{15} =\frac{2}{5}[/tex]
Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],
Here, in triangle ABC, DE is not parallel to BC.
Figure 3:
[tex]\frac{AD}{BD} = \frac{4}{12} =\frac{1}{3}[/tex]
[tex]\frac{AE}{CE} = \frac{5}{16}[/tex]
Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],
Here, in triangle ABC, DE is not parallel to BC.
Figure 4 :
[tex]\frac{AD}{BD} = \frac{5.5}{15}[/tex]
[tex]= \frac{55}{150}\\ = \frac{11}{30}[/tex]
[tex]\frac{AE}{CE} = \frac{6.6}{18}[/tex]
[tex]=\frac{66}{180}\\ =\frac{11}{30}[/tex]
Since, [tex]\frac{AD}{BD} = \frac{AE}{CE}[/tex],
Therefore, in triangle ABC, DE is parallel to BC, i.e., DE||BC.
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Julia ran 7000 meters, while carol ran 4 kilometers. who ran farther?
Answers
7000 meters = 7 km
therefore julia ran further.
hope this helps you
Millions for defense, but not one cent for trubute" was in reference to what?
Answers
and it what said by Robert Goodloe Harper
Answer:
The Americans would pay millions of dollars to defend their country, but not 1 cent towards the bribe in response to the XYZ affair. Hope this helps! :)
Step-by-step explanation:
I'm smart
12+5x-8=12x-10
Help me solve it step by step
Answers
4 + 5x = 12x -10
and make x on one side alone
14 = 7x
divide by 7 to make x alone
2 = x
The answer is 2
sin(θ) cos(3θ) + cos(θ) sin(3θ) = 0
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[tex]\displaystyle\\ \text{We use formula:}\\ \sin(\alpha+\beta)=\sin(\alpha)\cos(\beta)+cos(\alpha)\sin(\beta)\\\\ Resolve:\\\\ \sin(\Theta)cos(3\Theta)+cos(\Theta)sin(3\Theta)=0\\\\ \sin(\Theta+3\Theta)=0\\\\ \sin(4\Theta)=0\\\\ \text{We have two solutions:}\\\\ 4\Theta=0~~\Longrightarrow~~\Theta=\frac{0}{4}=0~~\Longrightarrow~~ \boxed{\Theta_1=0+2k\pi}\\\\ 4\Theta=\pi~~\Longrightarrow~~\Theta=\frac{\pi}{4}~~\Longrightarrow~~ \boxed{\Theta_2=\frac{\pi}{4}+2k\pi}\\\\[/tex]
Whats the perimeter of a square with a side measurement of 6 in?
Answers
Hope this helps!
A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?
Answers
As an Octagon has eight sides, it would be pre-image for eight times during the rotation.
So, your final answer is 8
Which expression represents the composition g(f(x)) for the functions below?
f(x) = –3x2
g(x) = 3x
Answers
f(x) is inside g(x) so think of it as G(f(x)) = 3(-3x^2) (SHOW EXPONENTS WITH ^ LIKE x^2 :D )
3(-3x^2) Now distribute :D
3*-3x = -9x
dont forget that exponent :P
g(f(x)) = -9x^2
Answer:
[tex]g(f(x))=-9x^2[/tex]
Step-by-step explanation:
[tex]f(x) = -3x^2[/tex]
[tex]g(x) = 3x[/tex]
WE need to find composition of function g(f(x))
To find g(f(x)) we replace f(x) in g(x)
[tex]g(f(x))= g(-3x^2)[/tex]
Now we replace -3x^2 inside g(x)
[tex]g(-3x^2)=3(-3x^2)= -9x^2[/tex]
[tex]g(f(x))=-9x^2[/tex]
The solution to 2x - 5 = 27 is also a solution of which of the following equations?
3 + 5x = 58
3x - 2 = 31
2x + 3 = 35
27 - 2x = 5
Answers
2x+3=35
Which description best describes the graph?
Linear increasing
Linear decreasing
Nonlinear increasing
Nonlinear decreasing
Answers
If its going down, then it is decreasing.
If the curve is a straight line, then it is Linear.
If the curve is not a straight line, then it is non linear.
Answer:
linear increasing
Step-by-step explanation:
what 18/25 as a percent and decimal
Answers
Perecentage: 18 ÷ 25 = 0.72, now we're converting it a percentage..100 × 0.72 .. So therefore, your answer would have to be 72%
:)
In order to write [tex]\frac{18}{25}[/tex] as a decimal, we need to find a fraction equivalent to[tex]\frac{18}{25}[/tex] with a 100 in the denominator. Notice that if we multiply the numerator and the denominator of [tex]\frac{18}{25}[/tex] by 4, we get the equivalent fraction [tex]\frac{72}{100}[/tex] which we can now write as a decimal. Remember that the hundredths place is 2 places to the right of the decimal point. Therefore, we can write [tex]\frac{72}{100}[/tex] as 0.72.
To write a fraction to a percent, first remember that a percent is a ratio of a number to 100 so to write [tex]\frac{18}{25}[/tex] as a percent, we need to find a fraction equivalent to [tex]\frac{18}{25}[/tex] that has a 100 in the denominator. We can . do this by setting up a proportion.
[tex]\frac{18}{25}[/tex] ≈ [tex]\frac{n}{100}[/tex]
Now, we can use cross products to find the missing value.
25n = 1800
÷ 25 ÷25
n = 72%
Therefore, [tex]\frac{18}{25}[/tex] is equal to 72%.
I have 28 toys that are solar 2/7 of them are Disney characters how many solar toys are Disney characters
Answers
Final answer:
To find out how many solar toys are Disney characters, multiply the total number of toys by the fraction of toys that are Disney characters.
Explanation:
To find out how many solar toys are Disney characters, we need to multiply the total number of toys by the fraction of toys that are Disney characters. In this case, 2/7 of the toys are Disney characters. So, we can calculate:
Number of solar Disney toys = Total number of solar toys × Fraction of Disney toys
Number of solar Disney toys = 28 × 2/7 = 8
Therefore, there are 8 solar toys that are Disney characters.
Jerome walked 2/3 mile in the morning and 11/12 mile in the evning. How many miles did he walk in all?
A.)19/24
B.)7/12
C.)1 and 7/12
D.)1 and 1/3
Answers
Solve 8m^2+20m=12 for m by factoring.
Answers
2m^2+5m=3
minus 3 both sides
2m^2+5m-3=0
factor
hmm
experiment
(2m-3)(m+1), nope
(2m+3)(m-1), nope
(2m-1)(m+3), yep
(2m-1)(m+3)=0
set each to zero
2m-1=0
2m=1
m=1/2
m+3=0
m=-3
m=1/2 or -3
The solutions of the quadratic equation [tex]8m^2 + 20m = 12[/tex] by factoring method are [tex]m = \dfrac{1}{2}[/tex] and [tex]m = - 3[/tex]
Using the formula of the quadratic equation which states that,
The roots of the standard form of a quadratic equation [tex]ax^2 + bx + c = 0[/tex] are calculated as,
[tex]x = \dfrac{- b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
Given that,
A quadratic equation,
[tex]8m^2 + 20m = 12[/tex]
Now, simplify the equation,
[tex]8m^2 + 20m = 12[/tex]
Subtract 12 on both sides,
[tex]8m^2 + 20m - 12 = 0[/tex]
Take 4 as a common term,
[tex]4 (2m^2 + 5m - 3) = 0[/tex]
Since, [tex]4 \neq 0[/tex]
[tex]2m^2 + 5m - 3 = 0[/tex]
Apply the factoring method in the above equation,
[tex]2m^2 + 5m - 3 = 0[/tex]
[tex]2m^2 + (6 - 1)m - 3 = 0[/tex]
[tex]2m^2 + 6m - m - 3 = 0[/tex]
[tex]2m (m + 3) - 1(m + 3) = 0[/tex]
[tex](2m - 1) (m + 3) = 0[/tex]
This gives two solutions,
[tex]2m - 1 = 0\\2m = 1\\m = \dfrac{1}{2}[/tex]
[tex]m + 3 = 0\\m = - 3[/tex]
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Two-thirds of a number is negative six. Find the number.
-9
-8
-4 ...?
Answers
The answer would be negative 9 (-9)
Find an equation of the tangent line to the curve
xey + yex = 5
Answers
y′=(−ye^−x−e^y)/xe^y+e^x
then plugged in x and y and got slope of (-5-e^5)
and ended with equation of y=(-5-e^5)x+5
I'm not sure with my solution though i hope this might help you.
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
The equation of the tangent line to the curve is derived by first finding the slope of the tangent line at a certain point using implicit differentiation. After finding the slope, we then use the point-slope form of a linear equation to get the equation of the tangent line.
Explanation:To find an equation of the tangent line to the curve given by the equation xey + yex = 5, it's necessary to find the derivative of the function, which gives us the slope of the tangent line at any point. Implicit differentiation is the key here, since y is not explicitly solved in terms of x.
Differentiating the given equation implicitly with respect to x, we get: exy + yex +ex + yex = 0. From this, we can express dy/dx (the derivative of y with respect to x, i.e., the slope of the tangent line) in terms of x and y.
Next, simply plug in the given coordinates of the point at which we are finding the tangent into this dy/dx equation. This gives the slope of the tangent line at the specific point.
To finally find the equation of the tangent line, use the point-slope form of a linear equation y - y1 = m(x - x1), where m is the slope we found, and (x1, y1) are the coordinates of the point. Substitute these values in, and that gives the equation of the tangent line to the curve at the point.
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three kids named ricky, bobby, and terry have a total of 68 tech decks. Ricky has 8 more than bobby. terry has triple the number bobby has how many tech decks does each kid have?
Answers
T: 3x
R: x + 8
x + 3x + (x+8) = 68
5x + 8 = 68
5x = 60
x = 12
B: 12
T: 36
R: 20
Final answer:
Bobby has 12 tech decks, Ricky has 20 tech decks, and Terry has 36 tech decks.
Explanation:
Let's represent the number of tech decks each child has using variables.
Let's say Bobby has x tech decks. Since Ricky has 8 more tech decks than Bobby, Ricky has x + 8 tech decks. Terry has triple the number of tech decks that Bobby has, so Terry has 3x tech decks.
Now, we can set up an equation to represent the total number of tech decks:
x + x + 8 + 3x = 68
5x + 8 = 68
5x = 60
x = 12
So, Bobby has 12 tech decks, Ricky has 12 + 8 = 20 tech decks, and Terry has 3 * 12 = 36 tech decks.
How many factors are in (3 3)(2*y 4*y) (2-2)(2 2)?
Answers
How do you do long divison with 2 digits?
Answers
The decimal of 2 quarters, 1 dime, and 4 pennies
Answers
Eddie goes jogging every other day, lifts weights every third day, and swims every fourth day. If Eddie begins all three activities on Monday , how many days will it be before he does all three activities on the same day again?
(BTW YOU'RE SUPPOSED TO USE LCM)
Answers
In 12 days
It would be Thursday of the following week
By applying the concept of Least Common Multiple (LCM), which is 12 in this case, we realize that Eddie will perform all three activities on the same day again after 12 days and that the day will be a Friday.
Explanation:If Eddie goes jogging every other day (2 days), lifts weights every third day (3 days), and swims every fourth day (4 days), then we must find the LCM of 2, 3, and 4 to find out when will he do all three activities on the same day again.
The LCM of 2, 3, and 4 is 12. Therefore, Eddie will perform all three activities on the same day after 12 days. If he begins on Monday, he will surprisingly end up on a Friday, as the 12th day falls on a Friday. This is because, typically, 7 days from Monday is another Monday. Therefore, five additional days (to total 12) will fall on a Friday.
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The slope of the line below is –4. Use the coordinates of the labeled point to find a point-slope equation of the line.
A. y – 9 = 4(x + 4)
B. y + 9 = –4(x – 4)
C. y – 9 = –4(x + 4)
D. y + 9 = 4(x – 4)
Answers
Point Slope Form:
y - y = m(x - x)
y - -9 = -4(x - 4)
y + 9 = -4(x - 4)
Hope this helps!!
Answer: y+9=-4(x-4)
Step-by-step explanation:
A P E X
a^2b(3a^2 + 4ab^2) ...?
Answers
= 3a⁴b + 4a³b³
You are making small pizzas. you have 12 cups of flour. each pizza crust requires 3/4 cup of flour. how many pizza crusts can you make?
Answers
Megan is trying to remember her password for her computer. All she can remember is that it is 2 letters followed by 3 digits.
How many possible combinations are there for Megan's password?
A. 1,560
B. 1,676
C. 468,000
D. 492,804
E. 676,000
Answers
hope this helps
The number of permutations possible is 468000.
What is permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
The first two places are occupied by letters.
The last 3 places are occupied by numbers.
The permutation for the first 2 places is: [tex]26P_2[/tex]
The permutation for the last 3 places is: [tex]10P_3[/tex]
The total permutation is:
[tex]26P_2 \times 10P_3\\\\=468000[/tex]
Hence the correct option is option C.
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Compute the area of the triangle.
h = 8 cm
b = 14 cm
a = a0 cm2
Answers
A=.5(8)(14
A=4(14)
A=56 cm^2
Answer:
The area of the triangle is, [tex]56 cm^2[/tex]
Step-by-step explanation:
Area of the triangle(a) is given by:
[tex]a = \frac{1}{2} \cdot bh[/tex] ....[1]
where,
b is the base and h is the height of the triangle.
As per the statement:
Given:
h = 8 cm
b = 14 cm
Substitute in [1] we have;
[tex]a = \frac{1}{2} \cdot 8 \cdot 14 = 4 \cdot 14[/tex]
⇒[tex]a = 56 cm^2[/tex]
Therefore, the area of the triangle is, [tex]56 cm^2[/tex]
A grocery store sells a 7 oz bag of raisins for $1.10 and a 9 oz bag of raisins for $1.46. which size bag has the lower price per ounce?
Answers
110 ÷ 7 = 15.7143¢ per oz
9 oz bag:
146 ÷ 9 = 16.2222¢ per oz
So the answer is the 7 oz bag, hope this helps!
hope this helps you
Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)
Answers
if 85% of studends liked mystery that means that 100% - 85% = 15% didnt like.
Those 15% are 30 that were given in text. Now we can calculate this using proportion:
15% 30 students
85% x students
we use cross multiplication:
15*x = 30*85
x = 30*85/15
x = 170
Answer is 170