Answer:
4-square root 2/2
Step-by-step explanation:
A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 65 credits after completing 21 courses
How many 3 credit courses did the student complete?
How many 4 credit courses did the student complete?
Based on the fact that there are courses with 3 credits and 4 credits, with the total that a student can earn being 65 credits, the number of 3 credit courses that the student completed was 19 courses and the number of 4 credit courses was 2 courses.
How to find the number of courses?Assuming that the number of courses worth 3 credits are denoted as x and the number of courses worth 4 credits are denoted by y, the system of equations would be:
3x + 4y = 65
x + y = 21 courses
Using substitution for y gives:
x + y = 21
y = 21 - x
The number of courses with 3 credits is:
3x + 4y = 65
3x + 4(21 - x) = 65
3x + 84 - 4x = 65
84 - 65 = 4x - 3x
1x = 19
x = 19 courses
Number of 4 credit courses is:
= 21 - x
= 21 - 19
= 2 courses
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A ball thrown horizontally from an apartment balcony hits the ground in 5 seconds. if the horizontal velocity of the ball is doubled, how long will it take to hit the ground? a. 2.5 seconds b. 5.0 seconds c. 7.5 seconds d. 10 seconds e. 12 seconds
Still 5 seconds.
(Assuming the Earth around that building is flat.
Write an equation that represents the line.
Use exact numbers.
The table shows the allowance balance for the children in the Martinez family.
Question 16
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The table shows the allowance balance for the children in the Martinez family.
Child Allowance Balance ($)
Annemarie ─12.50
Charles ─5.75
Maria ─15.25
Sylvester ─8.00
What is the difference between Maria's allowance balance and Charles' allowance balance? Write your answer as a decimal to the nearest hundredth.
Answer:
if you mean between them both then 9.5
if you mean divide then 2.65217391 or rounded as 2.65
Answer: 9.5/2.56
Step-by-step explanation:
I wasn't sure if you meant all of them or not, sorry.
A car rental advertised a car for $27.95 per day and $0.26 per mile. If someone rents the car for 4 days how many whole miles can he drive in a $150 budget
(Round down to the nearest whole mile)
The number of miles he/she can drive with a budget of 150 dollars is 469 miles.
How to find the number of miles he can drive?The car rental advertised a car for $27.95 per day and $0.26 per mile.
If someone rents the car for 4 days and he has a budget of 150 dollars, the number of miles he can drive can be calculated as follows:
The equation used to represent the situation is as follows:
let
x = number of miles drove
Therefore,
150 = 27.95 + 0.26x
subtract 27.95 from both sides of the equation
150 - 27.95 = 27.95 - 27.95 + 0.26x
0.26x = 122.05
divide both sides by 0.26
x = 122.05 / 0.26
x = 469.423076923
x = 469 miles
Therefore, the number of miles he can drive is 469 miles.
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I NEED HELP
Graph the image of the given triangle after the transformation that has the rule (x, y)→(x, −y).
The image of the given triangle after transformation that has the rule (x,y)→(x,−y) is graphed below .
In the question
the triangle is given ,
From the figure , we can see that the coordinates of the triangle are
(2,7) , (4,-3) , (-5,-2)
let us name the coordinates of the triangle as A(2,7) , B(4,-3) , C(-5,-2) .
applying the transformation , that has rule (x,y)→(x,−y)
Using this rule to find the new coordinates of the triangle A'B'C' .
when A= (2,7)
A' = (2,-7)
When B = (4,-3)
B' = (4,-(-3))
B' = (4,3)
When C = (-5,-2)
C' = (-5,-(-2))
C' = (-5,2)
So the coordinates of the triangle A'B'C' is A' = (2,-7) , B' = (4,3) , C' = (-5,2) .
the image triangle A'B'C' is shown below
Therefore , The image of the given triangle after transformation of the rule (x,y)→(x,−y) is graphed below .
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Divide. Express your answer in scientific notation.
7.2x10-4
3x10-3
Help
Answer:
0.24
Step-by-step explanation:
First, you would do 7.2 x 10^-4 which equals 0.00072
Next, 3x10^-3 would equal 0.003
Then , you would divide 0.00072/0.003 = 0.24
Is my answer correct?
Using the concepts of the mean and of the mean absolute deviation, the correct option is given as follows:
Last month, the amount of rain that fell each day varied less than the month before.
What is the mean absolute deviation of a data-set and what does it represent?The mean of a data-set is given by the sum of all observations divided by the cardinality of the data-set, which is the number of observations in the data-set.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations, hence it basically is the mean of the deviations, given a degree of variability.The mean absolute deviation(MAD) represents the average by which the values differ from the mean.In this problem, we have that:
Two months ago, the measures were: Mean 9.4 cm, MAD 3.5 cm.Last month, the measures were: Mean 11.5 cm, MAD 1.6 cm.Due to the lower mean absolute deviation combined with the higher mean, the amount varied less than the month before, hence the last option is correct.
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water flows at a constant rate. Kian measures 8 cups in 6 seconds. whats the constant of proportionality of cups of water to minutes
The constant of proportionality in cups of water to minute is 80 cups/min
What is the constant of proportionality in cups per minute?Here we have the proportional relation:
y = k*x
Where y is the number of cups and x the time in seconds, then:
y/x = k
Replacing the values we know:
y = 8 cups.
x = 6 seconds.
We can get the value of k, the constant of proportionality, but first, let's write the time in minutes.
x = 6 seconds
remember that 1 min = 60 sec, then:
6 sec = (6/60) min = 0.1 min
So the constant of proportionality is:
k = 8cups/0.1 min = 80 cups/min
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How many miles would it take for an airplane to travel from Portugal to the United States?
Answer:
The total flight duration from the United States to Portugal is 9 hours and 41 minutes.
Step-by-step explanation:
The distance between Portugal and United States is 4680 miles. The fastest way to get from Portugal to the United States is to fly. Taking this option will cost €220 - €1500 and takes 10h 29m. The distance between Portugal and United States is 4680 miles.
Plssss help with this question
Answer:
[tex](-5y^4+4y^3)+(3y^2-2y)[/tex]
find the equation of the line in form y=mx+c
please help giving brainliest
Answer:
Step-by-step explanation:
Equation of line in slope intercept form: y = mx +c
Pick any two points from the table and find the slope.
(-2 , 9) ; (-1,7)
[tex]\sf \boxed{\bf Slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{7-9}{-1-[-2]}\\\\=\dfrac{-2}{-1+2}\\\\=\dfrac{-2}{1}\\\\=-2[/tex]
y = -2x + c
Substitute (-2,9) in the above equation and find the y-intercept 'c'.
9 = -2*(-2) +c
9 = 4 + c
9 - 4 = c
c = 5
Equation of line:
y =-2x + 5
PLEASE HELP
Find the converse and determine if it is true or false.
Statement: Obtuse angles are not right angles.
Response: Converse: If an angle is not a right angle, then it is obtuse. True.
Answer:
Obtuse angle is not a right angle
Obtuse angle are angles between 90° and 180°
Solve 7x + 6<3(x - 2).
O [XIX<-3]
O {XIX < 0}
O {XIX<-2}
O [xlx>-3]
Step-by-step explanation:
X<-3 Inequality form , [XIX <-3]
Graph each equation by using the x and y intercepts
Question 3: 1.5x+3y=9
Can somebody help me with this??? Emma helps her mother walk the dog 2 weeks per month. How many weeks per year does Emma walk the dog?
Answer: 24 weeks
Step-by-step explanation:
There are 12 months in a year
In each of those months, Emma walks the dog for 2 weeks
2 times 12 is 24
so Emma walks the dog 24 weeks per year
Captionless Image
A. 9
B. 8
C. 6
D. 5
Answer: we need the immage
Step-by-step explanation:
need help on this, thanks
Answer:
m<1 = 159˚
m<2 = 21˚
m<4 = 21˚
Step-by-step explanation:
Angle one is a vertical angle to angle 3 so they have the same angle. Angle 2 and 4 are adjacent angles to angle 3, so they are supplementary angles with angle 3, which 180-159 = 21˚.
The graph of g(x) is a transformation of the graph of f(x) = 3ª.
Enter the equation for g(x) in the box.
g(x) =
The graph is as follows: f(x) = 3ˣ
The graph f (x) is transformed into the graph g(x)
The points (-2, 2) and (-2) on the curve g(x) are (-1,4).
Let any point on f be (a,b) (x).
After translation, a brand-new curve, g(x), is obtained that is perpendicular to the line, asymptotically equal to y=1, or when y reaches 1, the graph is perpendicular to the x axis.
The graph of the translated curve is g(x)=y-1=3ˣ⁺² where g(x) = y = 3ˣ⁺² + 1.
The following graph shows the two.
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today, the waves are crashing onto the beach every 4.8 seconds. the times from when a person arrives at the shoreline until a crashing wave is observed follows a uniform distribution from 0 to 4.8 seconds. round to 4 decimal places where possible.
A person will wait at least 1.8720 seconds before the wave crashes when the waves are crashing onto the beach every 4.8 second
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
[tex]P(X\leq x)[/tex] = x-a / b-a
Uniform distribution from 0 to 4.8 seconds.
This means that a=0 , b=4.8
61% of the time a person will wait at least how long before the wave crashes in?
This is the 100 - 61 = 39% percentile, which is x for which [tex]P( X\leq x)= 0.39[/tex] . So
[tex]P(X\leq x)= \frac{x-a}{b-a}[/tex]
x= 1.8720
the time a person will wait at least 1.8720 seconds before the wave crashes in.
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PLEASE HELP
Solve negative a minus four sevenths equals two thirds for a.
a equals negative 26 over 21
a equals 26 over 21
a equals negative 2 over 21
a equals 2 over 21
Value of 'a' for the given statement the negative a minus four sevenths equals two thirds for a after solving is equal to negative 26 over 21.
As given in the question,
Given statement :
Negative a minus four sevenths equals two thirds for a
Represent the statement in equation form :
-a -(4 / 7) = ( 2 / 3 )
Solve by adding both the side ( 4 / 7 ) we get,
-a - (4 /7) + (4 /7) = (2/3) +(4/7)
⇒ -a = (2/3) + (4/7)
least common multiple of 3 and 7 is 21.
-a = ( 14 /21) + (12 /21)
⇒ -a = 26 /21
⇒ a = -26/21
Therefore, value of 'a' for the given statement the negative a minus four sevenths equals two thirds for a after solving is equal to negative 26 over 21.
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the expert answer is wrong
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
The members of a cooking club are making cakes, which they will sell at a street fair for $8 apiece. It cost $14 for a booth at the fair, and the ingredients for each cake cost $1. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How many cakes will they have sold? How much will the sales and expenditures be?
Once the members of the club have sold
cakes, they will break even, with sales and expenditures of $
.
Answer:
Oggy Oggy oggy
Step-by-step explanation:
boogy boogy
Solve for the indicated variable for each one.
1.) For a:a+r=t
2) For x: x/2-b=s
Answer: 2(s+b)
Step-by-step explanation:
1) a + r = t
a = t - r
2) x/2 - b = s
x/2 = s + b
x = 2(s + b)
x = 2s + 2b
three more than eight times a number equal to 19
Solve 2x^2 + 31 = 17. The solutions are x= and x=
Answer:
x=±√7
Step-by-step explanation:
2x²+31=17
2x²=31-17
2x²=14
x²=14÷2
x²=7
x=±√7
133g =__oz
What the answer I need help
Answer:
4.69144 oz
Step-by-step explanation:
Help with this problem please :)
The value of the unknown angle is as follows:
m∠BGF = 80 degreesHow to find angles?An angle bisector or the bisector of an angle is a ray that divides an angle into two equal parts
Therefore, CH bisects ∠GCD.
Therefore, it divide ∠GCD into two equal halves.
GC bisect ∠BGD.
Therefore, it divides ∠BGD into two equal halves.
Hence,
m∠BGC = m∠CGF
Therefore,
m∠BGC = 7x - 2
m∠CGF = 8x - 8
7x - 2 = 8x - 8
7x - 8x = -8 + 2
-x = -6
x = 6
Therefore,
m∠BGF = 7x -2 + 8x - 8
m∠BGF = 15x - 10
m∠BGF = 15(6) - 10
m∠BGF = 90 - 10
Therefore,
m∠BGF = 80 degrees
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allie is making 8 dozen chocolate chip muffins for the food fair at school. the recipe she is using makes 3 dozen muffins. if the original recipe calls for 16 ounces of chocolate chips, how many ounces of chocolate chips does she need for her new amount? (allie buys her chocolate chips in bulk and can measure them to the nearest ounce.)
With the help of the ratio, we can conclude that Allie needs 42.72 ounces of chocolate chips for her new recipe.
What is the ratio?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.So, first, we will take the ratio of a new recipe to the old recipe:
8:3 = 8/3 = 2.67Now, the chocolate chips she needs for the new recipe:
16 × 2.67 = 42.72Chocolate chips for new recipe = 42.72 ouncesTherefore, with the help of the ratio, we can conclude that Allie needs 42.72 ounces of chocolate chips for her new recipe.
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Please help quick!!!
Answer:
D
Step-by-step explanation:
-6 times 3 is obviously -18 and if you type in -6 times -2/3 on a caculator it gives you 4 and its positive because when you times two negatives you get a positive
Solve the triangle. Round the side length to the nearest tenth and the angle measures to the nearest degree.
Answer: 41, 54, 6.1
Step-by-step explanation:
By the law of Cosines,
[tex]b^2=4^2 +5^2 -2(4)(5)\cos 85^{\circ}\\\\b=\sqrt{4^2 +5^2 -2(4)(5)\cos 85^{\circ}} \\\\ =\sqrt{41-40 \cos 85^{\circ}}\\\\\approx 6.1[/tex]
By the law of sines,
[tex]\frac{\sin A}{a}=\frac{\sin C}{c}=\frac{\sin B}{b}\\\\\frac{\sin A}{4}=\frac{\sin C}{5}=\frac{\sin 85^{\circ}}{\sqrt{41-40 \cos (85^{\circ})}}\\\\\implies \sin A=\frac{4\sin 85^{\circ}}{\sqrt{41-40 \cos 85^{\circ}}} \implies \angle A \approx 41^{\circ}\\\\\implies \sin C=\frac{5\sin 85^{\circ}}{\sqrt{41-40 \cos 85^{\circ}}} \implies \angle C \approx 54^{\circ}[/tex]