Answer:
\( \frac{vw}{gf} = \frac{uv}{hg} \)
\( \frac{72}{132} = \frac{6x + 12}{143} \)
\( \frac{6}{11} = \frac{6x + 12}{143} \)
Now we cross multiply
6×143=11(6x+12)
858=66x+132
858-132=66x
726=66x
x=11
1. Mrs. Shelley's class is reading The Lion, the Witch,
and the Wardrobe. If they read 16 pages every week,
how many pages can they read in 5 weeks?
Answer:
80 weeks
Step-by-step explanation:
We can use proportions to figure out the answer to this problem:
\(\frac{16}{1} = \frac{x}{5}\)
16 pages every week, and some amount of pages every 5 weeks. Notice that if we can multiply 1 by 5 to get 5, we should be able to multiply 16 by 5 to get the value of x. 16 times 5 is 80, and this is the answer to our problem.
If you have any questions, let me know!
Choose all that apply.
Answer:
Step-by-step explanation:
Answer (D)
Make x the subject of y=3+2^x+1
Answer:
y=3+2 to the power of x +1
Step-by-step explanation:
Could ΔJKL be congruent to ΔXYZ? Explain.
Answer:
No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle
AB is a radius of the circle. The circumference of the circle is 119.56. Find the
length of AB, rounding to the nearest tenth.
B
A
Answer:
19.0285
Step-by-step explanation:
For this, we have to work backwards.
First, the equation for the circumference of a circle is:
\(2\pi r\)
We already know the circumference, so we can solve for r:
\(119.56=2\pi r\)
divide both sides by 2
\(59.78=\pi r\)
divide both sides by pi
\(19.0285...=r\)
So, depending on the answer choices, the answer is 19.0285 rounded to the according decimal place.
Hope this helps! :)
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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Help pls
Stuck on this question
Answer:
x = 35
Step-by-step explanation:
since the figures are similar then the ratios of corresponding parts are in proportion, that is
\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )
2x = 7 × 10 = 70 ( divide both sides by 2 )
x = 35
Use the distributive property to remove the parentheses. 12(3+y)
Answer:
36 +12y
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses:
12(3 +y)
= (12)(3) +(12)(y)
= 36 +12y
Answer:
Given,\(12(3+y)\)\((12×3)+(12×y)\)\(36+12y\)This is the last one I need
Answer:
Trina is closer
Step-by-step explanation:
Trina is closer to the surface of the earth because -85.6 vs 87.9
85.6 ft is closer by 2.3 ft.
(5/8 - 1/2) x 5/6 =
Final answer in the form a/b
Answer:
5/48
Step-by-step explanation:
(5/8 - 1/2) x 5/6
(5/8 - 4/8) x 5/6
1/8 x 5/6
5/48
Answer:
\(\dfrac{5}{48}\)
Step-by-step explanation:
\(\left(\dfrac{5}{8} - \dfrac{1}{2}\right) \times \dfrac{5}{6}\)
First, represent 1/2 as 4/8.
\(\dfrac{1}{2} \times \dfrac{4}{4} = \dfrac{4}{8}\)
\(\left(\dfrac{5}{8} - \dfrac{4}{8}\right) \times \dfrac{5}{6}\)
Then, simplify the subtraction.
\(\dfrac{1}{8} \times \dfrac{5}{6}\)
Finally, multiply the numerators and denominators of the resulting fractions.
\(\dfrac{1 \times 5}{8 \times 6}\)
\(\dfrac{5}{48}\)
PLEASE HELP!!!!
which equation can be used to solve for x?
A) 3x + 96 = 180
B) 3x + 90 = 180
C) 3x+6=111
D) 3x + 96 = 111
PLEASE LOOK AT THE PICTURE!!!!
hey SOS help plzz correct answer only
Answer:
median: 10 <h <13
mean: 12.12
Step-by-step explanation:
a farmer has two types of milk, one that is 28% butterfat and another that is 16% butterfat. how many gallons of each should be combined to create a 60-gallon mixture that is 22.5% butterfat?
30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.
Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,
⇒ x + y = 60 ⇒ x = 60 - y ----(1),
Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,
⇒ 28% of x + 16% of y = 22% of 60
⇒ 0.28x + 0.16y = 0.22 × 60
⇒ 0.28x + 0.16y = 13.2
⇒ 28x + 16y = 1320
⇒ 14x + 8y = 660
From equation (1),
14(60-y) + 8y = 660
840 - 14y + 8y = 660
6y = 180
y = 30
Again from equation (1),
x = 60 - y
= 60 - 30
= 30
Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%
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I have three math questions
Decide whether the given ordered pair is a solution to the system of linear inequalities
1 - y > x - 6
y < x -1
(5,2)
2 - y (< with a line under it i dont know how to type it) 2x
y (> with a line under it) x
(-3, -6)
3 - (1 over 2)x +3y < 8
y (> with a line under it) 1
(0, (2 over 3) )
Answer:
1. Not true, so (5,2) is not a solution
2. Not true, so (-3,-6) is not a solution.
3. Not true, so (0, \(\frac{2}{3}\)) is not a solution.
Step-by-step explanation:
Substitute 5 for x and 2 for y
1 - y > x - 6
1 - 2 > 5 - 6
-1 > -1
This is not true. -1 is not greater than -1
y < x - 1
Substitute -3 for x and -6 for y
2 - y \(\leq\) 2x
2 - (-6) \(\leq\) 2(-3)
8 \(\leq\) -6
This is not true. 8 is not less than -6.
y \(\geq\) x
Substitute 0 for x and \(\frac{2}{3}\)
3 - \(\frac{1}{2}\) x + 3y < 8
3 - \(\frac{1}{2}\) (0) + 3(\(\frac{2}{3}\)) < 8
3 - 0 + \(\frac{6}{3}\) < 8
3 + 2 < 8
6 < 8
This is true. 6 is less than 8
y \(\geq\) 1
\(\frac{2}{3}\) \(\geq\) 1
This is not true. \(\frac{2}{3}\) is not greater than or equal to one.
The ordered pair has to be a solution for both equations for the ordered pair to be a solution for the system.
Helping in the name of Jesus.
Dwayne's Tea Shop has caffeinated tea and decaffeinated tea. The tea
shop served 63 caffeinated teas and 27 decaffeinated teas. What
percentage of the teas served were caffeinated?Write your answer using
a percent sign (%).
Write an equation for a circle that follows the same pattern as the other circles. Explain how your equation follows the same pattern you identified.
9514 1404 393
Answer:
(x -4)² +(y +3)³ = 4
Step-by-step explanation:
Each circle is centered on (h, k) = (4, -3). Each circle has a radius 1 unit smaller than the circle just outside of it. The innermost circle shown has a radius of 3, so the next in the pattern of smaller circles will have a radius of 2. The equation for a circle centered at (h, k) with radius r is ...
(x -h)² +(y -k)² = r²
The next circle in the pattern is centered at (4, -3) and has radius 2, so its equation is ...
(x -4)² +(y +3)² = 4
Amy deposits $100 into an account that earns simple interest at an annual rate of 6.5%. How much interest will she earn after 4 years
the insterrest will be $650 after 4 years
I'LL MARK THE BRAINLIEST!
What is the best approximation of the area of a circle with a diameter of 17 meters?
Use 3.14 to approximate pi.
the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².
Why it is and what is diameter?
The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.
The formula for the area of a circle is:
A = πr²2
where A is the area and r is the radius.
Substituting the value of the radius into the formula, we get:
A = 3.14 x 8.5²2
A = 3.14 x 72.25
A ≈ 226.99
Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².
In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.
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If one For loop is nested within another, then the counter variables for the two loops should be different.
True or False
You can use the same name (identifier). It may be a different object. They both loop will not affect each other.
Inside the inner or second loop, there is no way to refer to the object used in the first loop (unless you make special bread for that, as by providing a pointer to it).
This is Normally bad style, is prone to confusion, and should be avoided.
The objects are different only if the inner one is defined alone, as with the int I you have shown. If the same name is used without shaping a new object, the loops will use the same object and will interfere with each other.
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Lola has a total of 45 beads. Some are black and some are white. The ratio of the number of black beads to the number of white beads is 7:2. How many more black beads little white beads are there?
Answer:
The answer is 35:10
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Add the parts of the ratio to get the whole (7 + 2). Divide the total number of beads and the sum of the ratio to find out how many times you'll multiply (45 ÷ 9). Use the ratio to multiply by 5 (5 • 7) and (5 • 2).
There are 35 black beads and 10 white beads.
So, there are 25 more black beads than white beads.
A. Using the spinner above, what is the probability that a player will draw 3 cards?
B. What is the probability that a player will draw 1 card on the first spin and 2 cards on a second spin?
C. Harold wants the probability that a player draws 3 cards and moves 2 spaces to be 3/8. How can he change the spinners to result in this probability?
Answer:
A-1/3
B-1/8
C-?
Step-by-step explanation:
A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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solve for x & y solve x = 3 + yy = -2x + 9
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1
darius and dakota re roommates. together they have 238 books. if darius has 50 more books than dakota, how many books does dakota have? write an algebraic equation using x for a variable for the situation and solve for x
Answer:
Dakota has 94 books, while Darius has 144.
Step-by-step explanation:
Given that Darius and Dakota are roommates, and together they have 238 books, if Darius has 50 more books than Dakota, to determine how many books does Dakota have the following calculation must be performed:
Dakota = X
Darius = X + 50
X + X + 50 = 238
2X + 50 = 238
2X = 238 - 50
X = 188/2
X = 94
Therefore, Dakota has 94 books, while Darius has 144.
After giving 20 stickers to Siti, Janice had twice as many stickers as Siti.
If Janice had 120 stickers at first, how many stickers did they have
altogether?
Answer:
180
Step-by-step explanation:
20stickers For Siti
twice
40stickers for Janice
20x2=40(40 Stickees for Janice)
if Janice have 120 stickers at first
=
120÷2=60 stickers For Siti
how many stickers did they have
altogether?
120+60=180
180
Hope Is Help(づ ̄ ³ ̄)づ
Record Examination) are normally distributed with a mean of 555 and a standard
deviation of 110. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 335.
The percentage of people taking the test who score below 335 is
Answer:
2.5%
Step-by-step explanation:
You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.
Z scoreThe z-score of 335 is ...
Z = (X -µ)/σ
Z = (335 -555)/110 = -220/110 = -2
DistributionThe empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.
P(X < 335) = 5%/2 = 2.5%
The percentage of people taking the test who score below 335 is 2.5%.
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Raul can ride his unicycle 2.5 miles in 30 minutes. If he maintains the constant speed, what number of total miles can he travel in 90 minutes.
Answer:
Raul would ride 18 miles.
Step-by-step explanation:
60/10 =6
3x6=18
Answer:
18 miles is your answer
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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factor x-a in such a way that square root of x - square root of a is a factor
We want to factor the expression x - a, in such a way that we have one factor written as:
(√x - √a)
We will find that the factorized expression is:
(√x - √a)*(√x + √a)
Here we need to remember two things:
First, (√x)^2 = √(x^2) = x
also:
(x^2 - y^2) = (x + y)*(x - y)
Now, using the first property, we can rewrite our original expression as:
(x - a) = ( (√x)^2 - (√a)^2)
Now, using the second property, we can rewrite it as:
( (√x)^2 - (√a)^2) = (√x - √a)*(√x + √a)
Then we have:
(x - a) = (√x - √a)*(√x + √a)
Thus, we have factorized (x - a) in such a way that one of the factors is equal to (√x - √a)
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solve the equation: z^ +4z+20+iz(a+1)=0 Where A is constant, has complex conjuget root. if one of roots this quadratic is z=B+2i?
The complex conjugate roots exists A = -1 - 4i or A = -1 + 12i.
How to estimate complex conjugate roots?
If one of the roots exists w = B + 2i, then the other root exists its conjugate w = B - 2i. So we can factorize the quadratic to
\(z^2+4z+20+iz(A+1) = (z-(B+2i))(z-(B-2i))\)
Expand the right side and collect all the coefficients.
\(z^2+(4+(A+1)i)z+20 = z^2-2Bz+B^2+4\)
From the z and constant terms, we have
\($\left \{ {{4+(A+1)i = -2B} \atop {20 = B^2+4}} \right.\)
From the second equation, we get
\(B^2 = 16\)
B = ± 4
Then 4+(A+1)i = ± 8
(A + 1)i = 4 or (A + 1)i = -12
Since \($\frac{1}{i} = -i\), we have
\($\frac{-A+1}{i} =4\) or \($\frac{-A+1}{i} =-12\)
A+1 = -4i or A+1 = 12i
A = -1-4i or A = -1+12i
Therefore, the complex conjugate roots exists A = -1-4i or A = -1+12i.
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