If the exchange rate is 1 U.S. dollar to 81 Japanese yen, to purchase something that costs 50 dollars, you would have to spend 50 x 81 = 4050 Japanese yen.
Answer: You would have to spend 4050 yen to buy something that costs 50 dollars.
Step-by-step explanation: Since we already know the amount of yen that's equal to a dollar, all we have to do is multiply that number by the amount of dollars being spent.
This gives us: 81 * 50 = 4050. You would have to spend 4050 yen to buy something that costs 50 dollars.
Find LQ in parallelogram LMNQ.
LQ= ?
explain your reasonings
Answer:
lq= 8
Step-by-step explanation:
because MN is 8 units, lq must also be 8 units.
The distance between the centres of two villages is 8 km.
A map on which they are shown has a scale of 1:50000.
Calculate the distance between the centres of the two villages on the map. Give your answer in centimetres.
The distance between the centres of the two villages on the map is 16cm. The solution is obtained using the concept of unit conversion.
What is unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles. Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.
Now, we are given the scale of a map as 1 : 50000 and that two villages are 8km apart on the map.
The scale of a map is given as 1 : 50000.
=> 1 cm on map = 50,000 cm on actual
We know that 1 km = 1,00,000cm
So,
=> 8km = 8,00,000 cm
So, The distance on the map is
800000 / 50000
= 80/5
= 16 cm
Hence, the actual distance between them is 16cm.
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f(x) = √(x + 7), g(x) = √(x - 7)
Find the domain of f.
Answer:
[tex]x\ge -7[/tex]
Step-by-step explanation:
Square Root Function:The square root function has a domain consisting of numbers greater than or equal to zero. This excludes negative numbers since the square root of a number, when multiplied by the same square root of a number results in the original number: [tex]y=\sqrt{x}\implies y*y=x[/tex]. If we wanted the square root of a negative number, we would need a number which multiplies by it self to get a negative number, but as you may recall, if we square a real number, we always get a positive. So negative numbers are not included in the domain (although there are imaginary solutions)
So we just need the inside of the square root to be greater than or equal to zero. Thus we can derive: [tex]x+7\ge 0[/tex] and then just subtract 7 from both sides to simplify: [tex]x\ge -7[/tex] and now we have our domain in interval notation.
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
Put the numbers in each category to which they belong.
answer for 10 pionts
Answer:
x = 84
Step-by-step explanation:
x-(27+39)=18
x-(66)=18
x=66+18
x=84
❗️HELP ASAP WILL GIVE BRAINLIEST ❗️
How many solutions does the system of linear equations represented in the graph have?
-5 -4
♡
-2
One solution at (-2, 0)
No solution
One solution at (0, -2)
O Infinitely many solutions
S
2
1
-1 0
-1
1₂
?
7
-5
1
2 3
4
Answer:
Infinitely many solutions
Step-by-step explanation:
PLS HELP ME
Select ALL!!!!!!! of the inequalities represented by the graph
The inequality that is represented on the given graph is;
y ≥ -2x + c
How to Interpret Inequality Graphs?The general formula for equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, in this question, the coordinate of the y-intercept is (c, 0) and as such, the y-intercept is c.
Ths slope is gotten from two coordinates (2, -3) and (4, -7)
Slope = (-7 - (-3))/(4 - 2)
Slope = -4/2
Slope = -2
Now, the Inequalities that use < or > symbols are plotted with a dashed line to indicate that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to indicate that the line is included in the region.
Also, when we shade above the line, it is greater than and in this case it will be greater than or equal to since the line is a solid line to give the equation; y ≥ -2x + c
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Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
[tex]\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}[/tex]
See the photo below and answer which pairs of rectangles are similar polygons.
Answer:
A and B
Step-by-step explanation:
A: 100/150 = 2/3
B: 72/108 = 2/3
C: 80/132 = 20/33
1. (5 + 3i)(2 - 2i)
2. (3 + 2i)2
Solve for x:
3. x2 = 36
4. 2x2 - 80 = 120
Pls help with showing work
For all problems
How does an angle complementary to acuate angle A compare with an angle supplementary to angle A?
The angle complementary to an acute angle A is always acute and smaller than 90 degrees, while the angle supplementary to angle A is always larger than 90 degrees, they cannot be equal since they are adding up to 90 degrees and 180 degrees respectively.
What is Complementary AngleA complementary angle is a pair of angles that add up to 90 degrees. Two angles are said to be complementary if the sum of their measures is 90 degrees. The two angles are called complementary angles because they "complete" a right angle.
An angle is considered acute if it measures less than 90 degrees. A complementary angle is an angle that, when added to another angle, will sum up to 90 degrees. So, if angle A is acute, then its complement angle will also be acute.
On the other hand, an angle supplementary to angle A is an angle that, when added to angle A, will sum up to 180 degrees.
So, an angle complementary to an acute angle A is always acute and smaller than 90 degrees, while an angle supplementary to angle A will always be larger than 90 degrees. They can't be equal since they are adding up to 90 degrees and 180 degrees respectively.
For example, if angle A measures 60 degrees, its complementary angle will measure 30 degrees (90 - 60 = 30) and its supplementary angle will measure 120 degrees (180 - 60 = 120).
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In the figure shown, t || x and k || w and m<3 = 20°. Choose the list which includes all of the other angles that measure 20 degrees. ܔܔ
O A 1
OB. 1,5,7
O c. 1,14, 16
O D. 1,5,7, 9, 11, 14, 16
The angles which measure 20 degrees are∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16. The solution has been obtained using the properties of parallel lines.
What are parallel lines?Parallel lines are any two or more lines that lie in the same plane, are equally spaced apart, and never cross one another.
We are given t || x and k || w and m∠3 = 20°
Using the properties of parallel lines, we get -
∠3 = ∠1 (As these are vertically opposite angles)
∠3 = ∠5 (As these are alternate interior angles)
∠3 = ∠7 (As these are corresponding angles )
Now,
∠4 = 180 - ∠3 (As they form a linear pair)
∠10 = 180 - ∠9 (As they form a linear pair)
Also,
∠10 = ∠4 (Parallelogram's opposite angles are same)
So,
180 - ∠9 = 180 - ∠3
∠3 = ∠9 .... [ii]
∠9 = ∠11 (As these are vertically opposite angles)
∠3 = ∠11 ( from [ii] ) .... [iii]
∠11 = ∠14 (As these are alternate interior angles)
∠3 = ∠14 ( from [iii] ) .... [iv]
∠14 = ∠16 (As these are vertically opposite angles)
∠3 = ∠16 ( from [iv] )
Hence, the angles which measure 20 degrees are
∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16.
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What is the arithmetic meaning of set of data 6,1,5,8and 10
The arithmetic mean of the set of data 6, 1, 5, 8 and 10 is calculated to be 6
What is arithmetic mean?The simplest and most popular way to measure a mean or average is with the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
Adding up the numbers
= 6 + 1 + 5 + 8 + 10
= 30
The total number of items in the data is = 5
The arithmetic mean calculation
arithmetic mean = sum of numbers / number of items
arithmetic mean = 30 / 5
arithmetic mean = 6
The arithmetic mean is 6
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Suppose a parabola has an axis of symmetry at x = 6, a maximum height of 6 and also passes through the point (7, 5). Write the equation of the parabola in vertex form.
The equation of the parabola, in vertex-form, is given as follows:
y = -(x - 6)² + 6.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:
y = a(x - h)² + k
In which the parameters of the equation are given as follows:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The axis of symmetry is at x = 6, hence:
h = 6.
The maximum height if of 6, hence:
k = 6.
Thus:
y = a(x - 6)² + 6.
The parabola passes through the point (7,5), meaning that when x = 7, y = 5, and thus the leading coefficient a is obtained as follows:
5 = a(7 - 6)² + 6.
a = -1.
Hence the parabola is defined as follows:
y = -(x - 6)² + 6.
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These polygons are congruent. That means all their corresponding parts are equal in measure. Solve for x.
The measures of x and y in the congruent polygons are:
x = 7
y = 8
What are Congruent Polygons?Congruent polygons are two or more polygons with the same number of sides and the same length for each side. In other words, they are polygons that have the same shape and size.
Two polygons are congruent if and only if it is possible to superimpose one polygon over the other by using a combination of translation, rotation and reflection. Congruent polygons have the same area and perimeter.
Therefore:
m<E = m<A
Substitute the values:
4y - 4 = 28
4y = 28 + 4
4y = 32
4y/4 = 32/4
y = 8
m<F = m<B
Substitute:
10x + 65 = 135
10x = 135 - 65
10x = 70
10x/10 = 70/10
x = 7
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Larry and Donna bought a sofa at the sale price of $1,152. The original price of the sofa was $1,920.
Find the amount of discount in dollars.
Answer:
$768 would be the discounted amount in dollars
Step-by-step explanation:
1920 - 1152= 768
The results of a survey of students showed that 53 students had a Netflix account, 46 students had a Hulu account, and 87 students has a Netflix or a Hulu account. How many students had both a Netflix and Hulu account? Show how you got your answer please!
The students that have both a Netflix and Hulu account is 12.
How to calculate the number?We can use the principle of inclusion-exclusion to solve this problem. The principle states that if we want to know how many students have either a Netflix or a Hulu account (or both), we can add the number of students who have a Netflix account to the number of students who have a Hulu account and then subtract the number of students who have both.
So, using the information given:
Netflix or Hulu = Netflix + Hulu - (Netflix and Hulu)
87 = 53 + 46 - (Netflix and Hulu)
To find the number of students who have both a Netflix and Hulu account we can solve for (Netflix and Hulu) :
(Netflix and Hulu) = Netflix + Hulu - 87
(Netflix and Hulu) = 53 + 46 - 87
(Netflix and Hulu) = 12
So, 12 students have both a Netflix and Hulu account.
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Convert 5% to a fraction in lowest terms.
Answer:
Step-by-step explanation:
The 5% can be converted to a least-squares fraction by dividing the numerator by the denominator and simplifying. The 5% can be expressed as:
5/100
The fraction can be simplified by dividing the numerator and denominator by their common factor, which in this case is 5.
5/100 simplified is 1/20
In summary, 5% is equivalent to the fraction 1/20 in least terms.
Answer:
yellow and blue makes green
A spherical water tank has a radius of 25 feet. Can it hold enough water to fill a swimming pool 50 meters long, 25 meters wide with a constant depth of 2 meters?
Show your work by comparing each cubic feet
The spherical water tank can not hold enough water to fill up the swimming pool, given the length, width, and constant depth of the water.
How to find the amount of water ?The amount of water that the spherical tank can hold is the volume of the spherical tank. This volume can be found by the formula:
= 4 / 3 x Pi x radius ³
The volume of this spherical tank is therefore :
= 4 / 3 x Pi x 25 feet
= 65, 450 feet ³
Then, to see if it can hold enough water for a swimming pool 50 meters long, 25 meters wide with a constant depth of 2 meters, find the volume of the swimming pool as:
= Length x Width x Depth
= 50 x 25 x 2
= 2, 500 meters ³
1 m³ to feet ³ is 35.3147 so the volume in feet is:
= 2, 500 x 35.3147
= 88, 287 feet ³
The water tank can not hold enough water for the swimming pool.
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You have two different saving accounts.for A, the interest earned after 18 months is 12.00. For account B, the interest earned after 27 months is 27.00 Which account earned you the most interest in the first year? Explain your answer
Account A earned the most interest in the first year, since it earned 12.00 in 18 months compared to the 27.00 earned by Account B in 27 months.
Which account earned you the most interest in the first year?This means that Account A earned 12.00 in 1 year, while Account B only earned 9.00 in the same time period.The account that earned you the most interest in the first year depends on the interest rate for each individual account.To find out which account earned you the most in the first year, we can use the equation A = P(1+r/n)^nt. In this equation, A stands for the amount of money in the account, P stands for the principal amount, r stands for the interest rate, n stands for the number of times the interest is compounded per year, and t stands for the number of years. For account A, plugging in the numbers given, we get A = P(1+12/18)^18. In this equation, P represents the principal amount in account A after the first year.For account B, plugging in the numbers given, we get A = P(1+27/27)^27. In this equation, P represents the principal amount in account B after the first year. By comparing the two equations, we can determine which account earned you the most interest in the first year.If we compare the two equations, we find that account B earned you more interest than account A in the first year because the interest rate for account B was higher than the interest rate for account A. Therefore, account B earned you the most interest in the first year.To learn more about earning interest at different rates refer to:
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graph y = 6/5x - 6/5
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
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In the schoolyard we were 80 children playing soccer. After a while more children signed up and now we are 22 children in the camp. How many new children have come?
Answer: 21 new children have come.
Step by step explanation:Data :
In the schoolyard we were = 80 children playing soccerAfter a while more children signed up = and there were 22 childrenHow many new children have come = ?We simply have to subtract the number of children playing from the number of children who arrived after a while:
[tex]\bf \: 43 - 22 = 21[/tex]
We check:
[tex]\bf \: 22 + 21 = 43[/tex]
Rpt: 21 new children have come.
A mother gives birth to a 7-pound baby. Every 3 months, the baby gains 2 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y=mx+b that describes the baby's weight.
y =___________________
Answer:
y = 2/3 x + 7
Step-by-step explanation:
At birth represents the beginning of time for the baby. Lets call this month zero. So here are your coordinates.
x = 0 y = 7 ----> at birth
x = 3 y = 9
x = 6 y = 11
x = 9 y = 13
Now we find the slope between each point. Since the common difference of y is 2 and the common difference in x is 3 , the slope will be
slope = y / x = 2 / 3
Therefore, the equation of the line that represents this relationship is
y = (2/3) x + 7
On a team, 7 girls and 6 boys scored a total of 79 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 19. Each girl scored the
same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Each girl scored 9 points
Each boy scored 7 points
Step-by-step explanation:
Let the number of points each girl scored = a
Let the number of points each boy scored = b
7 girls and 6 boys scored a total of 105 points.
7a + 6b = 105......... Equation 1
The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21
7a - 6b = 21........... Equation 2
7a + 6b = 105......... Equation 1
7a - 6b = 21........... Equation 2
Subtract Equation 2 from Equation 1
12b = 84
b = 84/12
b = 7
Therefore, each boy scored 7 points
7a + 6b = 105......... Equation 1
b = 7
7a+ 6b = 105
7a + 6(7) = 105
7a + 42 = 105
7a = 105 - 42
7a = 63
a = 63/7
a = 9
Therefore, each girl scored 9 points.
5
A squad of 14 players is selected for a mixed football tournament.
The rules state that the ratio of boys to girls per squad must be no greater than 3:2
What is the maximum number of boys that can be selected for the squad?
Answer:
Step-by-step explanation:
The ratio of boys to girls in the squad must be no greater than 3:2. This means that for every 3 boys, there must be at least 2 girls.
Since the total number of players in the squad is 14, we can set up the following equation:
3x + 2y = 14
Where x is the number of boys in the squad, and y is the number of girls in the squad.
To find the maximum number of boys that can be selected for the squad, we need to find the highest possible value of x while still satisfying the equation.
We know that x, the number of boys, is a whole number, so we can start testing values of x by subtracting 2 from both sides and then dividing by 3
x = (14 - 2y)/3
If we start testing values for y and substituting it back into the equation, we'll find that the maximum value for y is 6, and the corresponding value for x is 5.
35 + 26 = 15 = 14
Therefore, the maximum number of boys that can be selected for the squad is 5.
Nine times the difference of 5 and y
Answer:
9(5 - y)
Step-by-step explanation:
9(?) → Nine times(? - ?) → the differenceNine times the difference of → 9(? - ?)The difference of 5 and y → (5 - y)Nine times the difference of 5 and y → 9(5 - y)- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Required answer:
9(5 - y)
Detailed explanation:
If we have the difference of two numbers, then we're subtracting these numbers. In this case, the numbers are 5 and y:
[tex]\sf{5-y}[/tex]
Next, we multiply 9 times the difference, so we put 5 - y in parentheses:
[tex]\sf{9(5-y)}[/tex]
[tex]\hrulefill[/tex]
Have a wonderful day!
A savings account has four hundred dollars in it. Then x number of dollars is added. What is the total balance of the savings account, y? 1. Identify important information 2. I need to find 3. What is the Equation? 4. Is the equation additive or multiplicative? 5. I know my answer is correct because
Answer:
Step-by-step explanation:
1. Important information: The original balance of the savings account is 400 dollars, x is the number of dollars added, and y is the total balance of the savings account.
2. I need to find: The total balance of the savings account (y).
3. What is the equation: y = 400 + x
4. Is the equation additive or multiplicative: Additive
5. I know my answer is correct because: I can use the equation y = 400 + x to calculate the total balance and then double-check my answer using mental math or by subtracting 400 from the total balance to find the amount added (x).
They will invest $30,000 for
10 years in an account that
pays 2.5% annual interest. PLS HELP
The required simple interest would be the amount of $7500 if invest $30,000 for 10 years in an account that pays 2.5%.
We have been given data:
Principal (P) = $30,000
Rate of Interest (R) = 2.5% = 2.5/100 = 0.025
Time (T) = 10 years
⇒ Simple interest = P × R × T
Substitute the value of P, R, and T in the above formula,
⇒ Simple interest = 30,000 × 2.5% × 10
⇒ Simple interest = 30,000 × 2.5/100 × 10
⇒ Simple interest = 30,000 × 0.025 × 10
Apply the multiplication operation, and we get
⇒ Simple interest = $7,500
Therefore, the required simple interest would be the amount of $7500.
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Answer:
Simply interest = $750.00.
Step-by-step explanation:
From the question
Principal = $30,000
Time = 10 years
Rate = 2.5%.
Sample interest = ?
Simple interest is give by the formula
= Principal × Rate ×Time
100
= 30,000 × 2.5 × 10
100
=3000 × 2.5 × 1
Note: hundred use it two zero to cancel one zero of 30,000 and one zero of 10 living 3000 and 1
Simple interest = $750.00
Football player A has a mass of 87 kg and is running at 7.15 m/sec. Football player B is on path to chop Football Player A. Player B has a mass of 78 kg and is running at 9.2 m/sec. Which player is going to get knocked out?
According to the information, the player which is going to be knocked out is player A because he has less momentum.
How to calculate which player is going to get knocked out?To calculate witch player is going to get knocked out we have to use the following formula:
Momentum formula:
P = mvm: massv: velocitySo, the player which has less momentum will get knocked out. Accoding to this information, we have to replace values and calculate:
Player A
P = 87 * 7.15 P = 622,05Player B
P = 78 * 9.2
P = 717.6
According to the above, the player which will be knocked out is player A, because player B has more momentum.
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