Each marble bag sold by Yoko's Marble Company contains 5 orange marbles for every 6 blue marbles. If a
bag has 40 orange marbles, how many blue marbles does it contain?

Answer:

a. $2.12

b. $6.45

c. $38.81

Step-by-step explanation:

a.

I'll convert 30.24 and 7% into fractions.

756/25 * 7/100

Cross cancel 756 and 100 (GCF is 4)

189/25 * 7/25

Convert above into a single fraction

(189 * 7)/(25 * 25)

Multiply 189 by 7, then 25 by 25.

1323/625

Divide, then round to the nearest cent

$2.1168 ≈ $2.12 in sales tax

b.

Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.

1613/50 * 1/5

Multiply 50 by 5.

1613/250

Divide, then round to the nearest cent.

$6.452 ≈ $6.45 in tip money

c.

This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.

$30.24 + $2.12 + $6.45

$32.36 + $6.45

You pay a total of $38.81 for lunch.

Answer:

The different of the tax was 0.09 cents

Step-by-step explanation:

1. Find how much the tax was

Henry = (16/100) (9) = (0.16) (9) = $1.44

Ella = (17/100) (9) = (0.17) (9) = $1.53

2. Subtract the taxes

1.53 - 1.44 = 0.09 cent

Answer:

a) 46° b) 66° c) 4 cm

Step-by-step explanation:

a) because it is isosceles triangle, therefore, 2 opposite angles, and angle sum of triangle is 180 so 180-67-67=46

b) because again, isosceles triangle so two opposite sides,

x+x+48=180

2x=132

x=66

c)because it is equilateral, so therefore all angles are 60 degrees and all sides equal.

Answer:

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

86.14 in.²

Step-by-step explanation:

Area of the composite figure = area of semicircle + area of rectangle + area of triangle

= (½πr²) + (L*W) + (½bh)

Where,

r = ½*6 = 3 in.

L = 8 in.

W = 6 in.

b = 16 - 8 = 8 in.

h = 6 in.

Plug in the values and solve

Area of composite figure = (½*π*3²) + (8*6) + (½*8*6)

= 14.14 + 48 + 24

= 86.14 in.²

Answer:

What's the question you need help on?

How may I help you today?

Answer:

x = 5.25

Step-by-step explanation:

If I am understanding the question correctly, you are asking to find x when 4x=21? If this is the case, then all you must do is divide 21 by 4, then you get 5.25.

Answer:

Step-by-step explanation:

Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.  

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

Answer:14

Step-by-step explanation:0.35 times 14 equals 4.9

Answer:

13.1666666666666.....and so on the 6 repeating forever. So it is a repeating decimal.

Step-by-step expl

Answer:

1/10,  3/20,  1/5,  1/4,  3/10

Step-by-step explanation:

its least to greatest

Answer: Order from Least to Greatest

1/10 < 3/20 < 1/5 < 1/4 < 3/10

Step-by-step explanation:

Answer:0

Step-by-step explanation:

Simplifying

2x + -1x + 7 = x + 3 + 4

Reorder the terms:

7 + 2x + -1x = x + 3 + 4

Combine like terms: 2x + -1x = 1x

7 + 1x = x + 3 + 4

Reorder the terms:

7 + 1x = 3 + 4 + x

Combine like terms: 3 + 4 = 7

7 + 1x = 7 + x

Add '-7' to each side of the equation.

7 + -7 + 1x = 7 + -7 + x

Combine like terms: 7 + -7 = 0

0 + 1x = 7 + -7 + x

1x = 7 + -7 + x

Combine like terms: 7 + -7 = 0

1x = 0 + x

1x = x

Solving

1x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

1x + -1x = x + -1x

Combine like terms: 1x + -1x = 0

0 = x + -1x

Combine like terms: x + -1x = 0

0 = 0

Simplifying

0 = 0

The solution to this equation could not be determined.

Answer:

Step-by-step explanation:

A. is 65

B. is 78

C. is 37

Answer:

Angle (A) : 65 degree

Angle (B) : 78 degree

Answer:

See below.

Step-by-step explanation:

You don't show what the function is, but I'll explain how to do it.

The average rate of change of function f(x), from x = a to x = b, is given by the fraction:

[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]

Since I don't know what the function is, I cannot evaluate the function at x = a and at x = b, which in your case are x = 2 and x = 3, but you can do it.

Here are the steps you need to do:

1) Evaluate the function at x = 3. Get a value for f(3).

2) Evaluate the function at x = 2. Get a value for f(2).

3) Evaluate the following fraction, after writing the values for f(3) and f(2) that you found in steps 1) and 2) above.

[tex] \dfrac{f(3) - f(2)}{3 - 2} [/tex]

The denominator above is easy. It's just 1.

Try it and see what you get. You can write the function and your answer in the comments if you need more help.

Answer:

10

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces.

600 / 6 = 100

10 x 10 = 100

Answer:

change in buyer tastes.

Step-by-step explanation:

Buyers now want more donuts than the other goods.

increase in the cost of donuts is more likely to decrease the amount of donuts consumed, as they would be more expensive

consumers expecting something doesn't necessarily change anything, as they haven't yet dropped and therefore it's unlikely they'd increase the demand until they actually were cheaper.

Coffee doesn't necessarily effect donut sales, unless stated in the question.

Answer:

C. 4 months

Step-by-step explanation:

4000-3700= 300 leftover every month

1200/300=4

after 4 months she will have $1,200

Answer:

11

Step-by-step explanation:

Do kcf (keep,change,flip)

First, covert 2 3/4 into an improper fraction

Then after you do that you get 11/4

so you do the equation 11/4 ÷ 1/4

when you do kcf it would be 11/4 × 4/1=

11/4×4/1=44/4 simplify divide both by 4 = 11

Answer:

Step-by-step explanation:

Answer:

I think its b plz don't get mad I am not so sure

Answer:

215 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving

Simplify

6.1+57+0.432

Add

63.1+0.432

Answer

63.532

Can i get brainliest

Answer:

3+x sqrt 7 -13 is a radical equation.

The value of radical equation is,

⇒ 7√x = 14

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

All the equations are,

⇒ x +√5 = 12

⇒ x² = 16

⇒ 3 + x√7 = 13

⇒ 7√x = 14

Since, A radical equation is an equation with at least one variable put on a radical form.

In this question, there is only one kind of variable which is x.

Then, you need to find the equation where x is in the radical form.

Hence, The radical form can be expressed with square root symbol.

Therefore, The option with √x would be only,

⇒ 7√x = 14

Thus, The value of radical equation is,

⇒ 7√x = 14

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

96 minutes

Step-by-step explanation:

1. find the quotient of 8 and 2.5. Which is 3.2

2. then find the product of 30 and 3.2 to get 96 minutes.

Answer:

3c - 8

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Answer:

Step-by-step explanation:

[tex]\Delta \% =100\left(\frac{final value-initial value}{initial value}\right)\\ \\ \Delta \% =100\left(\frac{2758526-2838233}{2838233}\approx -2.8\% [/tex]