A school chorus has 80 sixth-grade students and 66 seventh-grade students. The music director wants to make groups of performers with the same combination of sixth- and seventh- grade students in each group. She wants to form as many group as possible. If that many groups are formed, how many students of each grade level would be in each group?

Answer:

120°

Step-by-step explanation:

From the question,

The expression for the dot product of two vector is given as

a.b = abcosθ................... Equation 1

make θ the subject of the equation

θ =cos⁻¹ (a.b/ab)......................... Equation 2

Where θ = angle between the vector.

Given: a.b = -27, a = 6, b = 9

Substitute these values into equation 2

θ = cos⁻¹[-27/(6×9)]

θ = cos⁻¹(-27/54)

θ = cos⁻¹(-0.5)

θ = 120°.

Hence the angle between the vector is 120°

Answer:

B

Step-by-step explanation:

Edge 2021

Answer:

4

Step-by-step explanation:

Greatest common factor (GCF) of 36 and 56 is 4.

Step-1: Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 2^2 × 3^2

Step-2: Prime Factorization of 56

Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:

56 = 2^3 × 7^1

Step-3: Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Step-4: Factors of 56

List of positive integer factors of 56 that divides 36 without a remainder.

1, 2, 4, 7, 8, 14, 28

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 56 is 4.

The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The two numbers are: 36 and 56

As we know GCF means highest common factor, the factor which presents the in both numbers:

The GCF(36, 56) can be found using the Division Lemma:

56 = 36x1 + 20

36 = 20x1 + 16

20 = 16x1 + 4

16 = 4x4 + 0

The value of GCF(36, 56) :

GCF(36, 56)  = 4

Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

Learn more about the LCM here:

brainly.com/question/20739723

#SPJ2

Answer:

C

Step-by-step explanation:

Tangent = opposite/adjecent.

sine

https://quizizz

.com/admin/quiz/58b03b8967e5cbbb47f236d7/trig-ratios

Ok so you have 2 pies.

You can cut into quarters which is 4 slices in 1 pie.

Than you can do 4 slices x 2 pies which means you have 8

Answer:

By taking (-1, 1) and translating it left by 2 and up by D we have (-3, 1+D)

Rotating 90° counterclockwise puts a negative on your y-coordinate and switches the x and y-coordinates.

Final answer:

(-1-D, -3)

Your well wisher :-)

Answer:

5

Step-by-step explanation:

In the case when we multiplied 0.014 by 100,000 so it comes

= 0.014 × 100,000

= 1,400

Since The value 0.014 were times by 5 zeros.

Therefore the decimal point would move 5 places to the right

Answer:

3x+9+4x+×

8x+9

Step-by-step explanation:

3x+9+4x+x

( ) to isolate the 9

3x (9) +4x+x

3+4+1=8 then slap on the X which equals to 8×+9

Answer:

y = mx + b

Slope of a line

Step-by-step explanation:

m = -2

b = 7

(0,7)

Answer:

The maximum revenue of $225,000 occurs when the laptops are priced at $1,250.

Step-by-step explanation:

The vertex of the parabola shows that; maximum revenue of $225,000 occurs when the laptops are priced at $1,250.

We are given a graph titled projected laptop revenue based on price with price increase per laptop on the x-axis and total revenue from laptop sales on the y-axis.

Now, the vertex of the parabola is the peak of the parabola and from the coordinates on the graph, we can conclude that maximum revenue of $225,000 occurs when the laptops are priced at $1,250.

Read more about parabola vertex at; https://brainly.com/question/17987697

Answer:

D or the 4th answer choice.

Step-by-step explanation:

Put simply, id f(x) equals x, and g(x) is shown three points above f(x) the answer is D or the 4th answer choice.

Answer:

Is there a picture?

Step-by-step explanation:

Answer:

$60.00 * 1.075 * .6 + 5.99 = $44.69

when you have multiple fees and discounts and taxes and whatever else, you should follow the order of all operations.  multiplication and division before addition and subtraction, and so on.  

Step-by-step explanation:

For discount and sales tax you multiply, and for shipping you just add the fee.  We will save shipping for last since it doesn't effect the discount or tax.  Meanwhile you could apply the discount and tax in any order.

To apply a discount you take the price and multiply by 1 minus the percent in decimal form.  decimal form of a percent is basically the number divided by 100.  so 40% = .4 then 1 - .4 = .6

to apply a ttax you multiply 1 plus the percent in decimal form.  tax is 7.5% so in decimal form that's .075 then 1 plus the tax is 1.075

so now you multiply 60 * .6 * 1.075 and also remember 60 * .6 * 1.075 = 60 *  1.075 * .6 but the answer is $38.70

Now add the shipping, so 38.70 + 5..99 = $44.69

Answer:

5 tons

Step-by-step explanation:

5 tons are more than 9,998 pounds.

Ratio essentially compares quantities, i.e., it displays the value of one quantity in relation to the other quantity.

The ratio of two values, a and b, will be a:b.

According to question,

We have to find which value is greater, 5 tons or 9,998.

Since,

1 ton = 2000 pounds

Therefore,

5 tons = 5 x 2000 pounds

5 tons = 10,000 pounds.

It implies that, 5 tons are more than 9,998 pounds.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Answer:

2.07

Step-by-step explanation:

I DID IT ON A CALCULATOR

The area of a 2D form is the amount of space within its perimeter. The area that is needed to be mowed by Brian is 2.07 acres.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.

The total area that is needed to mow is 7.84 acres. Given that Brian mows 1.291 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. Therefore, the area already mowed by Brian can be written as,

[tex]\rm \text{The area already mowed by Brian} = 1.291 + 0.85 + 3.63= 5.771\ acres[/tex]

The area that is left to mow = Total area - Area already mowed by Brian

                                              = 7.84 - 5.771

                                              = 2.069 acres ≈ 2.07 acres

Hence, the area that is needed to be mowed by Brian is 2.07 acres.

Learn more about Area:

https://brainly.com/question/1631786

#SPJ2

Answer:

Angle 3 and 5

Step-by-step explanation:

Adjacent mean next to

Answer and Step-by-step explanation:

Angles that are adjacent (next to) angle 4 are the angles 5 and 3.

These angles are next to angle 4.

#teamtrees #WAP (Water And Plant)

9514 1404 393

Answer:

  (b)  (1, 1/6)

Step-by-step explanation:

The "unit rate" is always the y-value for x=1 when the relationship is proportional (as it is here).

That point is not specifically shown on the graph. It would be (1, 1/6).

Answer:

Triangle area = 20.91 cm^2

Step-by-step explanation:

area = 1/2(b*h)

area = 1/2(8.2*5.1)

area = 1/2(41.82)

area = 20.91 cm^2

Answer:

2nd

Step-by-step explanation:

the highest exponent value is the degree.

if I had [tex]x^{6} x^{2} x^{-7}[/tex] , the degree would be 6.

Answer:

1)

Step-by-step explanation:

In the line that is the graph of equation x = 2, every ordered pair has 2 as its x-coordinate. That means it's a vertical line that passes through x = 2 on the x-axis.

Answer: 1)

The graph option 1) is the correct answer.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x = 2

We see x intercept is 2 and there is no y intercept,

We know when x = a then the line is always parallel to y-axis and here x intercept is 2 therefore the line will pass through 2 on x-axis.

In graph 1) The line is passing through 2 on x-axis and is parallel to y-axis.

Hence, The graph option 1) is the correct answer.

For more references on equations, click;

https://brainly.com/question/10413253

#SPJ5

Answer:

d = 11 units if rounded to nearest whole number

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (-1, 1) and (4, 11)

d=√((4-(-1))²+(11-1)²)

d=√((4+1))²+(10))²)

d=√((5)²+ 100)

d = √125

d = 11.18  

d = 11 units if rounded to nearest whole number

Answer:

It is 1/8 ask your teacher to fix it because 3/4 divided by 6 is 1/8

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

5 faces 6 vertices goodluck

Answer:

second answer

Step-by-step explanation:

Answer:

MONKE

Step-by-step explanation:

MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE

-BOB THE MF BUILDER WAS HERE

Answer:

$2720

15%= 480

3200-480=

$2720

Answer:

A. you won't have enough

   1/8 x 6 = 6/8 of a teaspoon

   you have 2/3 teaspoon of black pepper set it equal and get a common denominator

6/8 = 2/3 --------------->  18/24 = 16/24 so you dont have enough

$3.68 for 16 pens

$3.68 per 16 pens

($3.68) / (16 pens)  

$0.23 / (1 pen)

$0.23 / pen

$0.23 per pen

I am not 100% sure sorry

Regular - $0.34

Rounded- $0.30

Explanation:

to find unit rate, set up the problem like a fraction. put the total cost on top, and the number of pens in a pack on bottom. Divided by the number of pens in the pack, which is 16. The answer will be the unit rate.

FOR EXAMPLE:

5.44/16 DIVIDED BY 16.

on the bottom you would get one because 16 divided by 16 is one. And on the top it would be 5.44 divided by 16 which is $0.34.

Answer:

[tex]x = \frac{\sqrt{6}}{3}[/tex]

Step-by-step explanation:

Step 1:  Using tan to get the value of the side x

[tex]tan(30) = \frac{x}{\sqrt{2}}[/tex]

[tex]\sqrt{2}*tan(30) = x[/tex]

[tex]\frac{\sqrt{6}}{3}=x[/tex]

Answer: [tex]x = \frac{\sqrt{6}}{3}[/tex]