To find the number of students studying each language, assign variables, write equations based on the given information, and solve the system of equations.
Explanation:To solve this problem, let's assign variables. Let x represent the number of students taking Spanish, and y represent the number of students taking French.
According to the given information, the number of students taking French is 2/3 of the number taking Spanish. So, we can write this as an equation:
y = (2/3)x
The total number of students taking French and Spanish is 310. So, we can write another equation:
x + y = 310
Now, we can solve these two equations to find the values of x and y. Substituting the value of y from the first equation into the second equation, we get:
x + (2/3)x = 310
(5/3)x = 310
x = (3/5) * 310
x = 186
Substituting x = 186 back into the first equation, we find:
y = (2/3) * 186
y = 124
Therefore, there are 186 students taking Spanish and 124 students taking French.
https://brainly.com/question/24875240
#SPJ11
The graph of the equation y = x2 - 3 is shown. Which equation will shift the graph up 6 units?
A) y = x2 + 3
B) y = x2 - 6
C) y = x2 + 6
D) y = (x + 6)2
In this exercise we have to use the knowledge of quadratic equations and graphs to identify the correct alternative, so we have;
Letter A
Remembering what a quadratic function looks like and its form:
[tex]y=x^2[/tex]
where X is the quadratic form, we know that we see that in the graph we have to go down 3 units, we can write it as follows:
[tex]y=x^2+3[/tex]
See more about quadratic functions at brainly.com/question/4119784
WILL GIVE BRAINLIEST AND RATE!
Michael is making cookies. Each batch uses 2 cups of flour. He plans to use less than 30 cups of flour for cookies so that he has enough left to make muffins. He has already used 4 cups of flour for cookies.
Which statement describes how many more batches of cookies Michael can make?
A. Michael can make fewer than 13 batches of cookies.
B. Michael can make fewer than 14 batches of cookies.
C. Michael can make fewer than 15 batches of cookies.
D. Michael can make fewer than 26 batches of cookies.
Answer:
A
Step-by-step explanation:
Quadrilateral MNPQ has vertices at (−3, 5), (−4, 6), (−5, 7), and (−6, 8). If the Quadrilateral MNPQ is reflected over the x−axis, what will the new coordinates be?
(3, 5), (4, 6), (5, 7), (6, 8)
(5, −3), (6, −4), (7, −5), (8, −6)
(−3, −5), (−4, −6), (−5, −7), (−6, −8)
(3, −5), (4, −6), (5, −7), (6, −8)
Hello there!
The answer is D.
what is the inverse of the function below f(x) =x/5 -2
Answer:
[tex]y=5x+10[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{x}{5} -2[/tex]
To find the inverse of the function we do the following steps
Replace f(x) with y
[tex]y=\frac{x}{5} -2[/tex]
Replace y with x and x with y
[tex]x=\frac{y}{5} -2[/tex]
Solve the equation for y
Add 2 on both sides
[tex]x+2=\frac{y}{5}[/tex]
Now multiply by 5 on both sides
[tex]5(x+2)=y[/tex]
Now distribute 5 inside the parenthesis
[tex]5x+10= y[/tex]
[tex]y=5x+10[/tex]
A cone - shaped building has a height of 6 meters and a base with a diameter of 10 meters. The building will be filled with road salt that costs $25 per cubic meter. How much will it cost to fill the building with road salt? Use 3.14 for π Round to the nearest hundredth HELP ME ASAP!!!!
Does anyone know these answers
A coffeepot contains 1 1⁄2 quarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1⁄2 cups of coffee remain in the pot. How much coffee did Tonya pour into each cup?
The correct answer is:
1 1⁄2 qt = 6 cups
6 cups - 3 1⁄2 cups = 2 1⁄2 cups = 20 oz
20 oz ÷ 2 = 10 oz = 1 cup + 2 oz
Miguel is driving his motor boat across the river. The speed of the boat in Still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boats resultant speed and direction? Diagram is not drawn to scale.
what is the length of the hypotenuse of a right triangle with sides that measure 5 in. and 12 in
Can anyone help me please?
What is the value of fraction 1 over 3x2 + 5.2y when x = 3 and y = 2?
Find the numerator of the equivalent fraction with the denominator 12x - 2/3
Please help me!!!!!!!!!!!!!!!!
What is the constant of proportionality?
What would the equation look like?
The variability at each feeder is 3.168. The difference between the median number of hummingbirds spotted per day at each feeder is approximately how many times the variability? a.4 b.5 c.2 d.2
Answer:
no its 3
Step-by-step explanation:
which of the following are necessary when proving that the opposite side of a parallelogram are congruent?
Answer: If anyone needs this in more simple terms it would be, “Alternate interior angles are congruent” and “ corresponding parts of congruent triangles are congruent“
Step-by-step explanation: The rules of parallelograms, the quotes are from Ap3x (it registered as a link)
I need help with this work sheet in algebra 2 I need some understanding can someone please help me?
Each dance class is 3/4 hour it takes a student 7 1/2 hours to learn a dance routine which statement is true a (a) student needs to take a 6 dance class to learn the routine) (b) student needs to take five dance classes to learn this routine see a student needs to take 9 dance classes to learn the routine) or (d) a student needs to take 10 dance classes to learn the routine)
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes. Hence, students needs to take 10 dance classes to learn the routine.
Given information:
The dance class is having the time 3/4 hour, and the value of 3/4 hour is 45 minutes.
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes.
According to the question,
The number of classes [tex]N[/tex] students have to attend to learn a dance routine can be written as,
[tex]N=\dfrac{450}{45}\\N=10[/tex]
Hence, from the above calculation one can conclude that, students needs to take 10 dance classes to learn the routine.
For more information visit:
https://brainly.com/question/19389526
If a cube shaped box has a volume of 1331 cubic inches how tall is the box.
Answer: Cube is 11 inches tall
Explanation:
Cube has all edges the same length . The volume of a cube is multiplying the length of any edge, height and width of the cube.
Volume of cube = length * width * height
We know that length = width = height = s
So, Volume of cube = s*s*s
= s³
In given question:
Volume of the cube = 1331 cu in.
s³ = 1331
take cube root both the side
s = ∛1331
s = ∛(11*11*11)
s = 11 inch
So, height of the cube = 11 inches
I am a solid figure with two congruent polygons that are based connected with lateral faces that are rectangles
30 yards of fabric is needed to make 10 dresses.The fabric roll is stamped 1200 inches .How many yards do you have
Find the magnitude and direction of the vector. Round the length to the nearest tenth and the degree to the nearest unit. Diagram is not drawn to scale.
what is 81% as a fraction in its simplest form
Quadrilateral ACEG≅Quadrilateral PRMN
Which statement is true?
EG≅MN
AC≅MR
AG≅MP
CE≅NP
Answer:
a
Step-by-step explanation:
EG≅MN
Need help with pythgoream theorem
What is the correct way to classify a triangle with angles that measure 20 , 40 and 120
Graph the systems of equations:
2x+y=5
14x+7y=35
What is x?
What is y?
PLEASE I NEED HELP!
Answer:
The question is wrong if you're looking to find x and y as they would cancel themselves being factors of each other
Step-by-step explanation:
The lines are co-incident so all the points on the graph are equal but the graph would look like this
These data show the age in years of 9 members of the youth orchestra.
12 14 16 17.5 10 18 15 15.5 19
What is the IQR (interquartile range) for these data?
4.75
9.00
15.50
17.75
Hey there!
the answer is 4.75.
4.75 is the IQR for the data
Hopes this helps u :)
Answer:
[tex]IQR=4.75[/tex]
Step-by-step explanation:
The given data is:
12,14,16,17.5,10,18,15,15.5,19
In order to find the interquartile range, we have to arrange the given data set in ascending order, thus
10, 12, 14, 15, 15.5, 16, 17.5, 18, 19
Now, the lower quartile is: 10, 12, 14, 15
Median is given as:
[tex]M=\frac{14+16}{2}=\frac{26}{2}=13[/tex]
And the upper quartile is given as:
16, 17.5, 18, 19
Median is given as:
[tex]M=\frac{17.5+18}{2}=17.75[/tex]
thus, the Interquartile range is given as:
[tex]IQR=Upper quartile-Lower quartile[/tex]
[tex]IQR=17.75-13[/tex]
[tex]IQR=4.75[/tex]
Big Reward! (Answer the right answer not just comment).
2(5x-4)=ax+b
Find a value for a and b so that the solution is
A. Has one solution
B. Has no solutions.
C. Infinite Solutions
Answer:
A. a = 0, b = 2
B. a = 10, b = 0
C. a = 10, b = -8
Step-by-step explanation:
2(5x-4)=ax+b
10x - 8 = ax + b
When a = 10, b = -8
This equation becomes true for all x. Hence infinite solutions.
When a = 10, b is not -8,
This equation has no solution.
One possible combination could be:
a = 10, b = 0
When a is not 10,
The two sides of the equation become two non parallel lines which will intersect at one point.
A combination could be:
a = 0, b = 2
a recipe calls for 4 tsp of baking soda and 1 fl. oz. of vanilla. Which measurement is greater? Explain.
Keelahs clothing store buys coats for $50 and then sells them for $80. What is the percent markup on the price of the coat.
The percent markup is 60%
Work is attached in the image provided.