Given:
[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].
To find:
The unknown number.
Solution:
Let x be the unknown number.
[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].
[tex]\dfrac{5}{4}+\dfrac{3}{4}x=20\dfrac{1}{3}-\dfrac{7}{8}x[/tex]
[tex]\dfrac{5+3x}{4}=\dfrac{61}{3}-\dfrac{7}{8}x[/tex]
[tex]\dfrac{5+3x}{4}=\dfrac{488-21x}{24}[/tex]
Multiply both sides by 24.
[tex]6(5+3x)=488-21x[/tex]
[tex]30+18x=488-21x[/tex]
[tex]18x+21x=488-30[/tex]
[tex]39x=458[/tex]
Divide both sides by 39.
[tex]x=\dfrac{458}{39}[/tex]
Therefore, the required number is [tex]\dfrac{458}{39}[/tex].
Identify the segments that are parallel, if any, if ∠KCB≅∠JAC.
The two lines are parallel if they are at same distant, but these lines will never meet at any point.
Parallel lines do not intersect each other. These lines are equidistant from each other.
In the given angles the line CB will be parallel to line AC.
CB ≅ AC
These two lines will be equidistant from each other since they both form an equivalent angle. These lines will not intersect with each other.
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X
( = [?]
DK
x Х
А AK
140°
B
HC
Angles are not drawn to scale
Answer:
40 degrees
Step-by-step explanation:
Supplementary angles are a pair of angles that add up to 180 degrees
Since ABD and DBC are supplementary, you can make the equation:
180=140+x
Simplify and you get x=40
[tex]\bf \large \implies \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]
[tex]\bf \large \implies \: \: x \: = \: 180 \degree - \: 140 \degree[/tex]
[tex]\bf \large \implies \: \: x \: = \: 40 \degree[/tex]
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer: 9ft
One side is given 16ft
The other is 7ft
The 7ft is in the same length of the 16ft line
So 16-7 = 9ft
Must click thanks and mark brainliest
A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
x+0
x+6
x-6
x+4
Answer: x+6
Step-by-step explanation:
[tex]\frac{\sqrt{x} +1}{x-\sqrt{x} +1}[/tex] Với x≥0. Tìm GTLN
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]
please help me its hard
Answer:
1
Step-by-step explanation:
16-9=5t+2t
7=7t
1=t
Answer:
t = 1
Step-by-step explanation:
16 - 2t = 5t + 9
=> 16 - 2t - 9 = 5t
=> 16 - 9 = 5t + 2t
=> 7 = 7t
=> 7/7 = t
=> 1/1 = t
=> 1 = t
worth 10pts can someone help?
Answer:
y = -x+2
Step-by-step explanation:
The y intercept is 2
The slope is found by using 2 point
I picked (0,2) and (2,0)
m = ( y2-y1)/(x2-x1)
= ( 0-2)/(2-0)
= -2/2 = -1
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1x+2
y = -x+2
Please help me i need this
fast
Answer:
just restart your device
last one! 50 points!
Answer:
sin theta = -2 sqrt(14)/15
Step-by-step explanation:
cos theta = adj / hyp
We can find the opp side by using the Pythagorean theorem
adj ^2 + opp ^2 = hyp^2
(-13)^2 + opp ^2 = 15^2
169 + opp ^2 = 225
opp ^2 = 225 -169
opp ^2 =56
Taking the square root of each side
sqrt( opp^2) = sqrt(56)
opp = sqrt(4 * 14)
opp = 2 sqrt(14)
Since we are in the third quadrant opp is negative
opp = -2 sqrt(14)
We know
sin theta = opp / hyp
sin theta = -2 sqrt(14)/15
Given that :
[tex] \frak {\cos( \theta_{1} ) = - \frac{13}{15} }[/tex]
To find :
[tex] \frak{ sin( \theta_{1} )}[/tex]
We know that cos θ is base/hypotentuse
So, here the base is -13 and the hypotentuse is 15
As we got the base and hypotentuse, perpendicular needs to be found out
Now, applying Pythagoras Theorem
According to Pythagoras theorem we know that :
(Hypotentuse)² = (Base)² + (Perpendicular)²Let us assume perpendicular be x
Putting the values we get
(15)² = (-13)² + (x)² 225 = 169 + x²By transposing we get
x² = 225 - 169x = √56 x = 2√14sin θ formula : Perpendicular/Hypotentuse
[tex] \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}[/tex]
Hence, the answer is -2√14/15
Given two consecutive even integers whose sum is 186, find the smaller of the two integers.
Answer:
92 is the smaller even integer
Step-by-step explanation:
x = first even integer
x+2 = second even integer
(x) + (x+2) = 186
Combine like terms
2x+2 = 186
Subtract 2 from each side
2x+2-2 =186-2
2x = 184
Divide by 2
2x/2 = 184/2
x = 92
x+2 = 94
Step-by-step explanation:
let,two even consecutive number be x and x+2
now,according to the question
x+x+2=186
or, 2x=186-2
or, 2x= 184
or, x= 184/2
:- x= 92
Hence,
x=92 and x+2= 94
two even consecutive numbers are 92 and 94
pls helppppppp it’s due in 20 minutes
Answer:
hope this helps you
havea great dayy
Answer:
39
Step-by-step explanation:
3(6m-17)
3(30-17)
3(13)
39
Identify the equation of the circle that has its center at (7, -24) and passes
through the origin
A. (x - 7)^2 + (y + 24)^2 = 625
B. (x + 7)^2 + (y - 24)^2 = 25
c. (x - 7)^2 + (y + 24)^2 = 25
D. (x + 7)^2 + (y - 24)^2 = 625
Answer:
x = 7 e y = -24
Step-by-step explanation:
The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
What is an equation of a circle?A circle can be characterized by its centre's location and its radius's length.
Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)²+(y-k)²=r²
The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.
Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.
Therefore, the radius of the circle will be,
Radius = √[(7-0)² + (-24 - 0)²]
= √(49 + 576)
= √(625)
= 25
Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,
(x - h)² + (y - k)² = r²
[x - 7]² + [y - (-24)]² = (25)²
(x - 7)² + (y + 24)² = 625
Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
Learn more about the Equation of a circle here:
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CAN SOMEBODY HELP ME PLS GIVE THE CORRECT ANSWER IM FAILING BUT ITs PYTHAGOREAN THEOREM
Answer:
c=65
Step-by-step explanation:
Answer:
c=65
Step-by-step explanation:
c=a2+b2=63
632+162=65
which of the following functions are an example of exponential decay???
Answer:
C. II only
Step-by-step explanation:
iyzgkxhldlufulduo
HIGH POINTS + BRAINLIEST!!!!
Each row shows the tax rate on a specific portion of the taxpayer's taxable income given their filing status. For example, suppose a taxpayer has a filing status of Single and a taxable income of $40,000. This means that the taxpayer owes 10% tax on the first $8,925, 15% tax on the amount over $8,925 up to $36,250, and 25% in the amount over $36,250 up to $ 40,000.
If Abdul and Maria had a filing status of Married Filing Jointly and together have a taxable income of $91,307 in the year 2013, how much did the couple owe for federal income tax?
Do not round any intermediate computations. Round your answer to the nearest dollar.
Answer:
Step-by-step explanation:
Taxable income = $ 91,307
Tax for $ 17,850 = 10% of 17850 = 0.1*17850 = $ 1785
Tax for $17,850 to $72,500 = 15% of (72,500-17850) = 0.15* 54650 = $ 8197.5
Tax $72,500 to $91,307 = 25% of (91307-72500)=0.25*18807= $ 4701.75
Total tax = 1785 + 8197.5 + 4701.75 = 14684.25
Total tax = $14684
What is the value of x in the equation 4(2x + 14) = 0?
A. 9
B. 7
C. -7
D. -9
Answer:
-7
Step-by-step explanation:
2(2x+14)=0
2x+14=0
2x=-14
x=-14/2
x=-7
Answered by GAUTHMATH
HELP!!!!!! so many points for this one!!!!!! x^2+y^2+4x-2y=-1
The equation of a circle in the xy-plane is shown above. What is the radius of the circle
A.2
B.3
C.4
D.9
Answer:
A. 2Step-by-step explanation:
Given circle:
x² + y² + 4x - 2y = -1Convert the equation into the standard form of (x - k)² + (y - h)² = r²:
x² + 4x + 4 + y² - 2y + 1 = -1 + 4 + 1(x + 2)² + (y - 1)² = 2²As per above:
r = 2Correct choice is A
A.2
Answer:
Solution given:
equation of a circle is:
x²+y²+4x-2y=-1
x²+y²+4x-2y+1=0
Comparing above equation with
ax²+by²+2gx+2fy+c=0
we get
a=1
b=1
g=2
f=-1
c=1
now
radius of a circle (r)=[tex]\sqrt{g²+f²-c}[/tex]
substituting value
r=[tex]\sqrt{2²+(-1)²-1}=2[/tex]
therefore radius of a circle is 2 units
Frank can type a report in 2 hours and James takes 7 hours. How long will it take the
two of them typing together?
Answer: x = 1 hour and 33 minutes
Step-by-step explanation:
Let x = time (hours) it takes typing together
then
x(1/2 + 1/7) = 1
multiplying both sides by 14:
x(7 + 2) = 14
x(9) = 14
x = 14/9
x = 1.56 hours
or
x = 1 hour and 33 minutes
Hope tjis help you!:)
Answer: 14/9 hr
Step-by-step explanation:
If you divide Frank's ability to write 1 report by 2 hours, he could write half a report in an hour. James could write one seventh of the report in a hour after dividing his ability to write 1 report in 7 hours. Find the least common denominator between 2 and 7, which is 14 convert 1/2 to that, which would be 7/14 and 2/14. Add That together and you'd get the amount of report they can write in an hour. If you multiply this by a number equalvilent to flipping 9/14, you'd get 1. This number is 14/9 hours.
A room is twice as long as it is broad and its height is 8 m. if the cost of painting its walls at Rs. 20 per m² is Rs 9600 , find the cost of carpeting its floor at Rs. 400 per m²
Answer:
Step-by-step explanation:
no body is answering
13. A pair of shoes sell for $27 per pair. There is a sale tomorrow on shoes offering two pairs for $45.
How much will 3 pairs of shoes cost today?
Answer:
$72
Step-by-step explanation:
The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.
The cost of 3 pair of shoes
= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes
= $45 + $27
= $72
So, 3 pairs of shoes will cost $72 today.
Find the surface area of the
rectangular prism.
2 cm
6 cm
3 cm
[?] sq cm
Enter
Answer:
72 sq cm
Step-by-step explanation:
Surface area of the cuboid is 2*(lb+bh+lh)=2*(12+18+6)=2*36=72
Answer:
36 sq cm
Step-by-step explanation:
This prism is formed by rectangles, and to find the area of a rectangle you have to multiply its sides. So, to find the surface area, you find the area of each rectangle and after add it all:
3×2 = 6 sq cm, and your have two of this rectangles
6×2 = 12 sq cm, and you also have two of this
3×6 = 18 sq cm, and also have two of this
6 + 12 + 18 = 36 sq cm
Evaluate the expression
Answer:
Is -15
Step-by-step explanation:
a 4 pint carton of frozen yogurt costs 6.08 what is the price per cup
Answer:
?
Step-by-step explanation:
My last person to ask a question
Answer:
$0.76 per cup or 76 cents per cup
Step-by-step explanation:
1 pint is 2 cups
4 pints is 8 cups
We can use ratios to solve
8 cups 1 cup
------------------ = -----------------
6.08 dollars x dollars
Using cross products
8x = 6.08
Divide each side by 8
x =6.08/8
x=.76
Solve the equation :
-3 • ( 2 - x ) + 4 = 2 • ( 1 - 2x) + 3
thanks :)
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 1
-6+3x+4=2-4x+3
-8+7x+1=0
7x=7
x=1
Answer:
x=1
Step-by-step explanation:
SEE IMAGE for Solution
please help me is for my homework
Answer:
50%
Step-by-step explanation:
so 1 half is colored in so 1/2 is also 50%
Answer:
it's 50% because it's half the circle
What am i supposed to type here tho, just look at the photo pls
slope is just "how much up or down" for one step to the right.
its clearly negative here
only -3 seems to be remotely plausible looking at the graph in your screenshot
Answer:
The slope is [tex]-3[/tex]
Step-by-step explanation:
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To find the slope of a line, choose two points that it clearly passes through.
In the given graph, the line clearly passes through points (2, 2) and (0, 8).
Let:
[tex](x_1, y_1)\implies (2, 2)\\(x_2, y_2)\implies (0, 8)[/tex]
Substitute into the slope formula:
[tex]m=\frac{8-2}{0-2}=\frac{6}{-2}=\boxed{-3}[/tex]
Therefore, the slope of the line is -3.
Please help me, asap
Answer:
10
Step-by-step explanation:
(10*2) ÷ (1+1)
Parentheses first
20 ÷2
Then divide
10
Answer:
The answer to the equation is 10.
Step-by-step explanation:
Use PEMDAS/Order of operations.
Parentheses go first.
(10*2) divided by (1+1)
remove the parentheses after working on the equation in them
20 divided by 2
20/2=10
the answer is 10
If you have any questions tell me them in the comments, I will come answer them. Have a good day.
Which two ratios represent quantities that are proportional? A 25/28 and 5/7 B 22/33 and 14/21 C 16/13 and 13/16 D 48/60 and 35/42
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}X - 1 = 13[/tex]
Answer:
x =56
Step-by-step explanation:
1/4 x - 1 =13
Add 1 to each side
1/4x - 1+1 = 13+1
1/4 x = 14
Multiply each side by 4
1/4x * 4 = 14*4
x =56
The cost of plastering in 4 walls of a room whose length is three times its height as wellas twice its breadth at Rs 5per m^2 is Rs 720. What will be the cost of the carpenting the floor of the room at Rs 250per m^2
Answer:
please mark me brainlist I really need it
Step-by-step explanation:
Say the height of the room is X metres. So the length is 3X, and the breadth is length/2, or 3X/2.
The area of the 4 walls is then 3x^2 + 3X^2 + 3X^2/2 +3X^2/2 = 9X^2
If the cost of plastering is R5/sq m, then 9X^2 * 5 = 720
Solving this gives X = 4 m - a rather high ceiling
The floor area is then (3*4) * (3*4/2) = 72 sq m
Carpeting is then 250*72 = R18000
