Answer:
22/21
Step-by-step explanation:
1/3 + 5/7
LCM of 3,7 = 3 x 7 = 21
1/3
= 1/3 x 7/7
= ( 1 x 7 )/( 3 x 7 )
= 7/21
5/7
= 5/7 x 3/3
= ( 5 x 3 )/( 7 x 3 )
= 15/21
1/3 + 5/7
= 7/21 + 15/21
= ( 7 + 15 )/21
= 22/21
-
Angle A and B are vertical angles. If Angle A = (5x – 3)° and Angle B = (4x + 21)°,
then find the measure of Angle A.
Answer:
Angle A=87°
Step-by-step explanation:
(5x-3)°+(4x+21)°=180°
9x°+18°=180°
9x°+18°-18°=180°-18°
9x°=162°
9x°/9°=162°/9°
x=18°
Angle A=(5x18-3)°
(90-3)°
Angle A=87°
!!20 POINTS!!
Find the value of X. Round to the nearest tenth
-7/3y-2/9=1/3 solve for y
Answer:
y = -12
Step-by-step explanation:
-7/3y - 2/9 = 1/3
cross multiple for 1/3:
-21/3y - 6/9 = 1
cross multiply for 3y and 9:
-21 - 6 = 3y + 9
3y + 9 = -27
3y = -36
y = -12
Chicago is home to 2.706 million people and the city sees approximately 55 million visitors each year. China has a population of 1.393 billion. If their visitors were proportional to Chicago, how many visitors could China expect? Write your answer in scientific notation rounded to two decimal places. Provide your answer below: x 10^ visitors
China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.
How to apply direct proportions
A direct proportion is a direct relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.
Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:
x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶
x = 8.512 × 10⁶
China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. [tex]\blacksquare[/tex]
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Find the equation that passes through the points (8,10) and (4,5). Give your results using function notation
Answer:
f(x) = 5/4x
Step-by-step explanation:
The equation of the line can be found using the 2-point form of the equation of a line:
y -y1 = (y2 -y1)/(x2 -x1)(x -x1)
This can be rearranged to the desired funtional form.
__
Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...
y -10 = (5 -10)/(4 -8)(x -8)
y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify
The equation can be written ...
f(x) = 5/4x
Write a qbasic progrsm to check pass or fail
Step-by-step explanation:
CLS
INPUT " Enter total marks "; M
IF M > 40 THEN
PRINT "You are passed "
ELSE
PRINT " You are failed "
END IF
END..
The cone shaped roof has the height of 30ft and the radius of 15ft find it's lateral area and the surface area
Answer:
Lateral surface area of cone is 1580 feet²Surface area of cone is 2287 feet²[tex]\\[/tex]
Step-by-step explanation:
Given that Height of cone shaped roof is 30 ft and radius is 15 ft.
To calculate the lateral surface area and Surface area of the cone we will use the formula given below:
[tex]\\[/tex]
[tex]\star \: { \underline { \boxed { \purple{ \pmb { \sf{Lateral \: surface \: Area _{(cone)} = \pi rl}}}}}}[/tex]
[tex]\\[/tex]
[tex]\star{\underline{ \boxed{ \purple{ \pmb { \sf{Surface \: area _{(cone)} = \pi rl + \pi {r}^{2} }}}}}}[/tex]
[tex]\\[/tex]
Finding the Slant height of the cone:
[tex]\dashrightarrow \: \:L = \sqrt{ {(r)}^{2} + {(h)}^{2} } \\ [/tex]
[tex] \dashrightarrow \: \: L = \sqrt{225 +900 } \\ [/tex]
[tex] \dashrightarrow \: \: L = \sqrt{1125 } \\ [/tex]
[tex]{ \dashrightarrow \: \: { \pink{ \boxed { \: L = 33.541 }}}}\\ [/tex]
Hence, Slant height of cone is 33.54 feet.Substituting values in above formula:
[tex]\dashrightarrow \: \: LSA = \pi rl \\ [/tex]
[tex]\dashrightarrow \: \: LSA = \dfrac{22}{7} \times 15 \times 33.54 \\ [/tex]
[tex]\dashrightarrow \: \: LSA = \dfrac{22 \times 15 \times 33054}{7} \\ [/tex]
[tex]\dashrightarrow \: \: LSA = \dfrac{11068.2}{7} \\ [/tex]
[tex]\dashrightarrow \: \:{ \boxed { \pmb{ \sf {\pink{ LSA \: \approx1580 \: {ft}^{2}}}} }} \\ [/tex]
[tex]\\[/tex]
Hence, Lateral surface area of cone is 1580 feet²
Now, Calculating surface area:
[tex]\dashrightarrow \: \:SA = \pi rl + \pi {r}^{2} \\ [/tex]
[tex]\dashrightarrow \: \:SA = \pi (15)(33.54) + \pi {(15)}^{2} \\ [/tex]
[tex]\dashrightarrow \: \:SA = \pi(503.1) + 22 5 \pi \\ [/tex]
[tex]\dashrightarrow \: \: SA = 728.1 \pi \\ [/tex]
[tex]\dashrightarrow \: \:SA = 728.1 \times 3.14 \\ [/tex]
[tex]\dashrightarrow \: \:{ \boxed{ \pmb{ \pink{ \sf{SA \approx2287 \: {ft}^{2} }}}}} [/tex]
[tex]\\[/tex]
Hence, surface area of cone is 2287 feet²A cube has a side length of 5 centimeters. What is its surface area of the cube?
Answer:
A = 150cm²
Step-by-step explanation:
A=6a2=6·52=150cm²
Which of the following is true of the numbers 4 and 10?
A. The greatest common factor is
B. The least common multiple is
C. The greatest common factor is 20.
D. The least common multiple is 40.
Answer:
None
Step-by-step explanation:
Answer is isn't there
the gcf = 2
the LCM = 20
Solve: |x+2|=3
Can someone explain how to do this
Hey there!
ORIGINAL EQUATION:
|x + 2| = 3
TRANSLATE:
x + 2 = 3 or x + 2 = -3
SOLVING for: x + 2 = 3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = 3 - 2
CANCEL out: 2 - 2 because it give you 1
KEEP: 3 - 2 because help solve for the current x-value
NEW EQUATION: x = 3 - 2
SIMPLIFY IT!
x = 1
Thus, your answer is: x = 2
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x + 2 = -3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = -3 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: -3 - 2 because it help solve for the current x-value
NEW EQUATION: x = -3 - 2
SIMPLIFY IT!
x = -5
Thus, your answer is: x = -5
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your answer is: x = 1 or x = -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The zoo has 14 penguins. There are 6 more penguins than lions. How many lions are at the zoo?
Answer:
8 lions
Step-by-step explanation:
We need to subtract!!
14 - 6 = 8
Have an amazing day!!
Please rate and mark brainliest!!
Step-by-step explanation:
let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6
Substitute 14 instead of X. 14=Y+6
and now shift 6 to the left 14-6=Y
then the answer should be 8lions
Could someone help me with this?
Step-by-step explanation:
Identity the variable:
Initial Velocity is 35.
Initial Height is 204
Final Height is 0.
What looking for the time.
So we have
[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]
Use Quadratic Formula,
[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
A is -16, B is 35 , C is 204.
So we have
[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]
[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]
The positve solution is
[tex]4.83[/tex]
So the answer is 4.83 seconds
i will give you both my kidneys for this answer!!!! Select the correct answer.
Consider functions fand g.
f(x) = 3x+1.what is the value of (f(g(1))
Answer:
1
Step-by-step explanation:
when x is 1 g(1) is 0
so
(f(g(1)) is f(0)
f(0) is 3√0 + 1 which is
1
sorry it looks like its not one of the answer choices
https://brainly.com/question/19425686
The composition of functions f ( g ( 1 ) ) = 1
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 3√x + 1
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( 1 ) = 0
g ( 2 ) = 1
g ( 3 ) = 4
g ( 4 ) = 9
Now , the composition of function is given by f ( g ( 1 )
The value of g ( 1 ) = 0
And , f ( x ) = 3√x + 1
when x = 0
So , the value of f ( 0 ) = 3√0 + 1
The function is f ( 0 ) = 1
Hence , the value of the function f ( g ( 1 ) = 1
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A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
A.0.4375
B.0.75
C.0.0039
D.0.109
b. 0.75 because if you flip it 8 times and get heads 6 times, the probability would be 6/8 and that would simplify to 3/4 (0.75).
Answer:
D. 0.109
Step-by-step explanation:
Just did the test, its not B
wait hihfedhsdkfsffsdf
b) The following patterns are made using small squares.
Pattern 1
Pattern 2
Pattern 3
Write an expression for the number of small squares in pattern n.
Write your answer in the form (n + a)? + b or an? + bn + C where a, b and care integers.
Answer:
(N+2)^2+6
Step-by-step explanation:
Find the area of the figure
Answer:
100 mm
Step-by-step explanation:
this right awnser
Answer:
Formula for area of circle (since two semi circles form a full circle);
a = π[tex]r^{2}[/tex]
First, figure out our radius,
D/2 = Radius
10/2 = 5 is our radius.
Plug in your values:
a = π[tex]r^{2}[/tex]
a = 3.14(5^5)
a = 3.14(25)
a = 78.5 is the area of the two semi circles.
Now the square;
A = L x W
A = 10(10)
A = 100.
Add your areas;
78.5 + 100
= 178.5 mm2
What is the quotient if 2/4 of 40 is divided by 4/5 of 5/7?
Answer:
2/4 * 40 4/5 * 5/7 = 102/
7
= 14 4/
7
≅ 14.5714286
Step-by-step explanation:
To find a new numerator:
a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/
5
= 200/
5
b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204
c) Write a previous answer (new numerator 204) over the denominator 5.
Forty and four fifths is two hundred four fifths
Multiple: 2/
4
* 204/
5
= 2 · 204/
4 · 5
= 408/
20
= 102 · 4/
5 · 4
= 102/
5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/
5
.
In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.
Multiple: the result of step No. 2 * 5/
7
= 102/
5
* 5/
7
= 102 · 5/
5 · 7
= 510/
35
= 102 · 5/
7 · 5
= 102/
7
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/
7
.
In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.
giving brainliest+50 points!!
What is the five-number summary of this data set?
{852, 687, 515, 986, 907, 784, 967, 685, 965}
Drag the numbers into the boxes to correctly complete the five-number summary.
Minimum
Q1
Q2
Q3
Maximum
Answer:
the 852 is the perfect fit q3
Step-by-step explanation:
The five-number summary of this data set are minimum is 515, maximum value is 986, Q₁ is 686, Q₂ is 852 and Q₃ is 966.
What is Median?Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order. It is also called second quartile.
Given data set is,
{852, 687, 515, 986, 907, 784, 967, 685, 965}
Arrange this in ascending order first.
{515, 685, 687, 784, 852, 907, 965, 967, 986}
Minimum value = 515
Maximum value = 986
First we have to find the median or the second quartile.
Second quartile, Q₂ = Middle element of the set
Q₂ = 5th element = 852
First quartile = 1/4 (n + 1)th element = 1/4 (9 + 1) = 2.5 th element
Q₁ = (685 + 687) / 2 = 686
Third quartile = 3/4(n + 1)th element = 3/4 (9 + 1) = 7.5th element
Q₃ = (965 + 967) / 2 = 966
Hence the five-number summary of this data set are found.
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How do I do this this folks?
for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong
Step-by-step explanation:
PLSS ANSWER
Round each fraction to help you estimate the solution for the equation.
three sixths plus three sixths
A. 0
B. one half
C. 1
D. one and one half
[tex] \frac{3}{6} = three \: sixths[/tex]
[tex] \frac{3}{6} + \frac{3}{6} = \frac{3 + 3}{6} = \frac{6}{6} = 1[/tex]
Letter CI = PRT
C = 2r A = r2
Answer: Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)
Calculate Principal Amount, solve for P. P = A / (1 + rt)
Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)
Calculate rate of interest in percent. ...
Calculate time, solve for t
Step-by-step explanation:
Find the domain of
[tex]y = \frac{1}{(1 - \sin(x) } [/tex]
Let's see
Denominator must not be equal to zero or the function becomes undefined[tex]\\ \rm\rightarrowtail 1-sinx\neq 0[/tex]
[tex]\\ \rm\rightarrowtail sinx\neq 1[/tex]
[tex]\\ \rm\rightarrowtail x\neq \dfrac{n\pi}{2}[/tex]
So
[tex]\\ \rm\rightarrowtail Domain\in R-\left\{\dfrac{n\pi}{2}\right\}[/tex]
5th root of 0.06
please I need fast only answer
15+45+6+834+32453+853=
Answer: Your solution is 34206
Hope this helps you!!!!
2. Evaluate the function rule for the given value. y = 4.2 for x = -6
3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?
Answer:
The mean is 24 ( I think)
Step-by-step explanation:
SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.
The mean of magazines he sold is 24
A triangle has one side that is 6 units long and another side that is 3 units long.
Which of the following could be the length of the third side?
2 units
3 units
4 units
6 units
8 units
10 units
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
How to determine the possible length of the third side?To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
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please help meeeeeeeee worth a bunch of points
Answer:
220
Step-by-step explanation:
first u gotta bla bla bla
Answer:
137°
Step-by-step explanation:
a straight line is 180°
x = 180 - (22 + 21)
x = 180 - 43
x = 137
Complete the inequality.
(-9/8)/(-2 3/4) ? 3/22
>
<
=
Answer:
(-3/8)/(-2 3/4) = 3/22
Step-by-step explanation:
Solve the following;
[tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex]
[tex]=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]
[tex]=\frac{\frac{3}{8}}{\frac{11}{4}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]=\frac{3\cdot \:4}{8\cdot \:11}[/tex]
[tex]\frac{3}{22}[/tex]
Thus, [tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex] = [tex]\frac{3}{22}[/tex]
~Learn with lenvy~