Practice Problems
Lance and Dimetri are playing a marble game. According to their rules, 3 points are awarded for
each red marble collected and 2 points are awarded for each green marble collected.
The number of points per player is found using the following expression:
3r + 29
How many points would be given for 5 red and 6 green marbles?

PLEASE QUICK I WILL GIVE 5 stars

Answers

Answer 1
15 red marbles
12 green marbles
15+12 = 27 marbles in total

Related Questions

Please help me this on the picture

Answers

Answer:

Step-by-step explanation:

Shaded areas ( What is the area of the shaded region? )

Answers

Answer:

119.43 cm²

Step-by-step explanation:

The shaded area (A) is calculated as

A = area of rectangle - area of circle

   = (11 × 12) - π × 2²

  = 132 - 4π

  ≈ 119.43 cm² ( to the nearest hundredth )

Hey can someone help me figure out what 3/4(x-8)=12

Answers

Answer:

x=24

Step-by-step explanation:

3/4(x-8)=12

Multiply each side by 4/3

4/3*3/4(x-8)=12*4/3

x-8 = 16

Add 8 to each side

x-8+8 = 16+8

x=24

Answer:

x = 24

Step-by-step explanation:

Essentially, you need to break this apart.

You need to isolate the x to figure it out with division or something.

To isolate, you need to get rid of the numbers around it.

To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.

You now have

x-8 = 12/0.75

You can quickly punch the right side into a calculator to make it easier.

x - 8 = 16

You then add 8 to both sides to finish off the x, to get

x = 24

An object that weighs exactly 1
pound is placed on a digital scale that measures weight in ounces.
If the scale is accurate and precise, what weight might be shown on the scale?

Answers

16 ounces= 1 pound.

The sum of 30 terms of series in A.P, whose last term is 98, is 1635. Find the first term and the common difference.​

Answers

Let a(n) denote the n-th term in the sequence. Because the terms are in arithmetic progression, there is a fixed number d that separates consecutive terms, so that starting with a(1) = a, the next few terms are

a(2) = a(1) + d = a + d

a(3) = a(2) + d = a + 2d

a(4) = a(3) + d = a + 3d

and so on, up to

a(n) = a + (n - 1) d

We're given that the 30th term is 98, so

a(30) = a + 29d = 98

The sum of the first 30 terms is 1635, so that

[tex]\displaystyle \sum_{n=1}^{30}a(n) = \sum_{n=1}^{30}(a+(n-1)d) \\\\ 1635 = a\sum_{n=1}^{30}1 + d\sum_{n=1}^{30}(n-1) \\\\ 1635 = 30a + d\sum_{n=0}^{29}n \\\\ 1635 = 30a + d\sum_{n=1}^{29}n \\\\ 1635 = 30a + \frac{d\times29\times30}2[/tex]

so that

30a + 435d = 1635

Solve the equations in boldface for a and d. I'll eliminate a and solve for d first.

-30 (a + 29d) + (30a + 435d) = -30 (98) + 1635

-30a - 870d + 30a + 435d = -2940 + 1635

-435d = -1305

d = 3

Then

a + 29 (3) = 98

a + 87 = 98

a = 11

10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number

Answers

11 is the mystery number

Answer:

The mystery number is 11

Step-by-step explanation:

→ Set up an equation

( 10 + 4 + 7 + x ) ÷ 4 = 8

→ Multiply both sides by 4

21 + x = 32

→ Minus 21 from both sides

x = 11

125 + (a-b)³ help me​

Answers

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Pls I need help!!!Question 6 (Essay Worn 6 points) (06.03) 9(5x + 1) = 37 From the expression above, pronde an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write 'not present."​

Answers

Answer:

5x+1=6.136

5x=6.136-1

5x=5.136

x=5.135/5

x=1.03

x=1

Which regular polygon can be used to form a tessellation?


I need help

Answers

Answer: Option 4 (Hexagon)

Step-by-step explanation:

A equilateral triangle, square and hexagon can be used to form a tessellation.

Please click thanks and mark brainliest if you like

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
An alphabetical list is generated of each member of the student body at a local middle school. The first name on the list is in the sample, along with every 5th name on the list after that. This is an example of a __________________.
A. systematic sample
B. stratified random sample
C. convenience sample
D. random sample

Answers

Answer:

Option A, systematic sample

please help geometry surface area

Answers

Answer: 159

Step-by-step explanation:

We have to find the surface area of two triangles and 3 rectangles

To find the surface areas of the triangles, we use the formula: base x height / 2

6 x 5.5 / 2 = 16.5

Multiply that by 2 since there are 2 of them

16.5 x 2 = 33

To find the surface area of the rectangles, we multiply the length and width

7 x 6 = 42

Multiply that by 3 since there are 3 of them

42 x 3 = 126

Add up all the surface areas

126 + 33 = 159

plse help.....me
[tex]a - 3 + a - 5[/tex]

Answers

[tex]a-3+a-5=\\\\=a+a-3-5=\\\\=\boxed{2a-8}[/tex]

pls help !! answer both 1a and 1b pls​

Answers

Answer:

KM = 50 mm , ∠ K = 104°

Step-by-step explanation:

Note that KM = KL = 50mm ( congruent legs )

This indicates the triangle is isosceles with base angles congruent, both 38°

∠ K = 180° - (38 + 38)° = 180° - 76° = 104°

Answer:

So the answer is 398°

Step-by-step explanation:

hope it helps

Simplify [2(5 – 4) + 6(7 – 3)] ÷ 2

I'LL MARK BRAINLY PLEASE HELP ME I'M STRUGGLING

Answers

Answer:

13

Step-by-step explanation:

[2×1+6×4]÷2

[2+24]÷2

26÷2

13

What number line shows Point A at -4, Point B at 2.5, Point C at -2 1/2, and Point D, which is the opposite of Point A.

Answers

Answer: Choice A

Explanation:

Since -3/5 > -0.8, this means -3/5 is to the right of -0.8

Larger stuff is to the right of smaller stuff. Another example would be 10 > 7, meaning we have 10 to the right of 7 since 10 is larger.

Any negative value is always to the left of 0, so -3/5 is to the left of 0.

That's why the answer is choice A.

GEOMETRY QUESTION- Find m < h

Answers

9514 1404 393

Answer:

  m∠H = 38°

Step-by-step explanation:

External angle GFD is the sum of internal angles G and H.

  14x +1 = 89° +(5x -7)

  9x = 81°

  x = 9°

Then the measure of angle H is ...

  angle H = 5(9°) -7° = 38°

I’m very confused abt this question: Look at the pic for clarification.

Answers

Answer:

8A

Step-by-step explanation:

We are multiplying the matrix by a scalar

Each term in the first matrix is multiplied by 2

[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]

Factor out 2

[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]

We know that the determinant of a matrix when multiplied by a scalar is found by

det ( a A) =a^n * det (A)

The scalar in this case is 2  and n is the number of rows ( or columns) since the matrix must be square

 det (2A) = 2^3 det(A)  = 8A

Answer:

(A)

Step-by-step explanation:

Factor the 2 out and do 2/1=x/A

X=2A

The height and radius of a cone are each multiplied by 11. What effect does this have on the volume of the cone?

The volume of the cone is multiplied by (Blank 1).

Answers

The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331

The volume of the cone can be calculated by the given formula:

                       The volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]

where r = radius of the cone

           h = height of the cone

Solution:

The volume of the original cone= .......1

It is given that the height and radius of a cone are multiplied by 11.

then volume

= [tex]\frac{1}{3} \pi (11r)^{2} (11h)[/tex]

= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex] .........2

The change in volume of the cone after multiplying 11 to r and h would be

dividing equation 2 by equation 1

=  [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex]/[tex]\frac{1}{3} \pi r^{2} h[/tex]

= 121*11

= 1331

Thus, The volume of the original cone is multiplied by 1331

Learn more about the volume of the cone:

https://brainly.com/question/1315822

Setting y = 0 allows you to determine the what
of a graph

Answers

This allows you to find the x intercepts of the function.

  [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

x-intercept and y-intercept:The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept. Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.When y is 0, the x-intercept is reached. The graph's intersection with the y-axis, or (0, b), is known as the y-intercept. When x is 0, the y-intercept is reached. When y is 0, the x-intercept is reached.

Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

Know more about x-intercept and y-intercept here:

https://brainly.com/question/24363347

#SPJ2

what is 7/8 divided by 1/8

Answers

Answer:

7

Step-by-step explanation:

Concepts:

Division: a system of distributing a collection of things into equal partsFractions: #s that represent a part of a wholeDividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other oneInverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)

Solving:

1. First, let's set up the equation:

7/8 ÷ 1/8

2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.

3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.

7/8 · 8 = 56/8 = 7

Therefore, 7/8 divided by 1/8 is equal to 7.

What is the translation from the preimage to the image in the graph?​

Answers

Answer:

(x, y ) → (x + 7, y + 5 )

Step-by-step explanation:

Consider the coordinates of R and R'

R (- 5, 0 ) and R' (2, 5 )

x- direction : - 5 → 2 is + 7 units

y- direction : 0 → 5 is + 5 units

Translation rule is (x, y ) → (x + 7, y + 5 )

simplify 4x^​2-3xy+2xy+9x^2

Answers

Answer:

13x^2 - xy

Step-by-step explanation:

4x^2-3xy+2xy+9x^2

=13x^2-xy

3/4plus 1/9
In the simplest form

Answers

Answer:

0.861

Step-by-step explanation:

Answer:

31/36

Step-by-step explanation:

3/4 + 1/9

= 31/36 --> this is the simplest form, you can't simplify any further.

solve this questions​

Answers

Answer:

3 a) solution:-

Discount=Rs 1,200

S .P =RS 4,000

M P=?

we know that,

Discount= M.P - S.P

or, Rs 1,200= M.P - Rs 4,000

or, M.P = RS (4,000-1,200 )

M.P = RS 2,800

In no. 3 all we have to make like this .........

Hope it helps

Answer:

Step-by-step explanation:

2)a) M.P =₹ 5000

S.P = ₹4000

Discount amount = M.P - S.P

                            = 5000 - 4000

                            = ₹1000

Discount percent = [tex]\frac{discount \ amount}{M.P}*100[/tex]

                             [tex]= \frac{1000}{5000}*100\\[/tex]

                             = 20%

3)a) Discount = ₹ 1200

S.P = ₹ 4000

M.P = S.P + discount

      = 4000 + 1200

      =  ₹ 5200

4)a ) Discount rate = 15%

S.P= ₹ 4000

[tex]M.P = \frac{100+Discount rate}{100}*S.P\\\\=\frac{115}{100}*4000[/tex]

= ₹ 4600

                           

                         

5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?

Answers

Answer:

Value is 57

Step-by-step explanation:

sin 33

= sin (90-57)

= cos 57

Answered by GAUTHMATH

Please help explanation if possible

Answers

Answer:

y=-3x+5

Step-by-step explanation:

concepts: y=mx+b is slope intercept equation formula

m=slope

b= y intercept

Therefore we need to find the slope and y intercept

first find slope

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

let y2 be 2

let y1 be -4

let x2 be 1

let x1 be 3

[tex]\frac{2-(--4)}{1-3}[/tex]

6/-2 = -3

m=-3

slope is -3

y= -3x+ b

we need find y intercept now

just plug in (1,2) into that equation

2=-3(1)+b

b=5

y=-3x+5

Inverse trigonometry functions I need help finding the answers everything I’ve tried says it’s wrong

Answers

Answer:

see below

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hypotenuse

cos x = 13/20

Taking the inverse cos of each side

arccos ( cos x ) = arccos( 13/20)

x = arccos ( 13/20)

x =49.45839

x = 49  to the nearest whole number

sin theta = opp/ hyp

sin y = 13/20

Taking the inverse sin of each side

arcsin ( sin y ) = arcsin( 13/20)

y = arcsin ( 13/20)

y=40.5416

y = 41 to the nearest whole number

On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 4 p.m., they had sold 132 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
A. 132 + 22h > 264
B. 22h < 264 + 132
C. 132 + 22h < 264
D. 132 + 264 > 22h

Answers

Answer:

A. 132 + 22h > 264

Step-by-step explanation:

Hourly sales = 22 glasses of fruit punch

Sales by 4 p.m = 132 glasses

Goal = more than 264 glasses

h = number of hours they must stay open to make their goal

The inequality:

132 + 22h > 264

22h > 264 - 132

22h > 132

h > 132/22

h > 6 hours

This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours

in triangle ABC the measure of angle A is 90. the length of AB is 1 unit the length of AC is 8 unit, find the legth of BC

Answers

Answer:

8.06

Step-by-step explanation:

by using pythagoras

BC^2=1^2+8^2

BC^2=1+64

BC^2=65

BC=√65

BC=8.06

Factor the following expression completely. 16x^5-x^3

Answers

Answer:

x³ (4x + 1)(4x - 1)

Step-by-step explanation:

Answer:

x^3 (4x-1)(4x+1)

Step-by-step explanation:

16x^5-x^3

Factor out x^3

16* x^2*x^3 - x^3

x^3(16x^2 -1)

The term inside the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

x^3 ( (4x)^2 -1^2)

x^3 (4x-1)(4x+1)

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