A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how much red paint would you need?

Answer:

-20+12i

Step-by-step explanation:

(-18+24i)-(2-12i)

-20+24i-12i

-20+12i

i = -1.666 or -1 and 2/3

Answer:

-20+11i

Step-by-step explanation:

3(-6+8i)-1 (2-12i)

-18+24i -2-13i

-20+11i

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

21.186% of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium.

It is known that 3000 meals ordered from Chipotle restaurants using the online site Grubhub.

And the distribution of sodium content is approximately Normal with mean 2000mg and standard deviation 500 mg.

We know,

[tex]z = \frac{(x- \mu)}{\(\sigma\)}[/tex],

And daily allowance of 2400 mg of sodium

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

[tex]z = \frac{2400 - 2000}{500}[/tex]

z = 0.8

Probability value from Z-Table:

[tex]P(x<2400) = 0.78814\\P(x>2400) = 1 - P(x<2400) \\= 0.21186[/tex]

Converting to percentage:

[tex]= 0.21186 (100)\\= 21.186%[/tex]

Therefore, the percent of the meals  ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%.

Learn more:https://brainly.com/question/14601433

Answer:

Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...

Step-by-step explanation:

Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...

Answer:

$5791.5

Step-by-step explanation:

13.5% = $526.5 each year

Answer:

Step-by-step explanation:

the answer is in the attachment below the graph.

The number of line segments that can be formed on the same line is A = 6

The number of ways of selecting r objects from n unlike objects is given by combinations

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

If A, B, C, and D are different points on the same line, then the number of line segments with endpoints at these points can be calculated by counting the number of ways to choose 2 points from the 4 points.

The number of ways to choose 2 points from 4 points is given by the binomial coefficient 4 choose 2, which is:

So , the combination is ⁴C₂

4 choose 2 = ⁴C₂ = (4!)/(2!(4-2)!) = (4 x 3)/(2 x 1) = 6

Hence , there are 6 line segments with endpoints at A, B, C, and D.

To learn more about combinations click :

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#SPJ2

Answer:

m∠RSA is 27.1° and m∠AST is 27.1°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle

In the given question

∵ Ray SA bisects ∠RST  

→ That means it divides it into two angles RSA and AST

∴ m∠RSA = m∠AST = [tex]\frac{1}{2}[/tex] m∠RST

∵ m∠RST = 54.2°

→ Multiply its measure by   to find the measures its parts

∴ m∠RSA =  [tex]\frac{1}{2}[/tex] × 54.2°

∴ m∠RSA = 27.1°

∴ m∠AST =  [tex]\frac{1}{2}[/tex] × 54.2°

∴ m∠AST = 27.1°

Answer:

e

Step-by-step explanation:

1,-4

3,-1

-1-(-4) = 3

3-1 is 2

slope is 3/2

Answer:

The bike was $230

Step-by-step explanation:

If 2/5 is $92 you can divide 92 by two like so,

92 ÷ 2 = 46

So ONE fifth is 46 to find out the total (5/5) you multiply by 5 so it would turn up like this,

46 × 5 = 230

The bike was $230

Hope that helps and have a great day!

Answer:

16.67%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

30/180

The number above the bar is the numerator: 30

The number below the bar is the denominator: 180

Divide the numerator by the denominator to get fraction's value:

Val = 30 ÷ 180

30/180=16.666666667

16.666666667= 16.67%

Answer:

16.67

Step-by-step explanation:

Step-by-step explanation:

the upper answered person is correct

kindly give her brainlist

thw

Answer:

its $5.20

Step-by-step explanation:

Answer:

[tex]-\frac{21}{2} < x < -5[/tex]

Solve the inequality

[tex]-3 < 2x+18 < 8[/tex]

Separate compound inequalities into system of inequalities

[tex]\left \{ {{2x+18 > -3} \atop {2x+18 < 8}} \right.\\ 2x+18 > -3\ and[/tex]               [tex]2x-18 < 8[/tex]

Rearrange variables to the left side of the equation

[tex]2x > -3-18[/tex]                       [tex]2x < 8-18[/tex]

Calculate the sum or difference

[tex]2x > -21[/tex]                              [tex]2x < -10[/tex]

Divide both sides of the inequality by the coefficient of variable

[tex]x > -\frac{21}{2}[/tex]                                [tex]x < -\frac{10}{2}[/tex]

Cross out the common factor

                                           [tex]x < -5[/tex]

[tex]x > -\frac{21}{2}\ and\ x < -5[/tex]

Find the intersection

[tex]-\frac{21}{2} < x < -5[/tex]

I hope this helps you

:)

Answer:

0.3636

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2x = 4x - 10

4x - 2x = 10

2x = 10

x = 10/2

X = 5

2(5) = 4(5) - 10

10 = 20-10

10=10

Answer:

x = 5

Step-by-step explanation:

put x on one side (subtract the x on the left from both sides)

-2x = -10

divide the extra number with the x from both sides

x = 5

hope this helps!

have a wonderful day :)

Answer:

b

Step-by-step explanation:

it’s b on edge

Answer:

Step by step equation:

5x + 3 = 4x

5x = 4x - 3

5x - 4x = -3

x = -3

Hope it helped,

Happy homework/ study/ exam!

Answer:

x= -3

Step-by-step explanation:

When solving these equations you must leave only one variable.

1. 5x+3=4x subtract variables

2. 3= -1x make x positive

3. x= -3

Answer: Choice C) [tex]3.9098 \times 10^8[/tex]

=========================================

Work Shown:

[tex]4.8388 \times 10^8 - 9.29 \times 10^7\\\\4.8388 \times 10^8 - \left(0.929\times10^{1}\right) \times 10^7\\\\4.8388 \times 10^8 - 0.929\times10^{1+7}\\\\4.8388 \times 10^8 - 0.929\times10^8\\\\\left(4.8388-0.929\right) \times 10^8\\\\3.9098 \times 10^8\\\\[/tex]

-----------------

Side notes:

Answer:

C. 1/2x +2

Step-by-step explanation:

We can see in the graph that the value of y for 2 its 3, so we have to test each equations to see which one is going to give us a 3 whit 2 as the x.

Answer:

6 and 4 because its correct 100%

Step-by-step explanation:

Answer:

sure.. 16pi

Step-by-step explanation:

use the equation

[tex]a = \pi \: {r}^{2} [/tex]

[tex]radius = diameter \div 2[/tex]

r = 8÷2 = 4 ft

[tex]a = \pi \times {4 }^{2} [/tex]

[tex]a = 16 \: \pi[/tex]

Answer:

x=9

Step-by-step explanation:

since the location of 4x+2 and 7x-25 is across from each other that means that they are equal to each other so you have to set them equal to each other by doing 4x+2=7x-25 then you add like terms you add 25 and 2 together which gives you 27 and the equation will look like 4x+27=7x and then you subtract 4x from 7x which gives you 3x and u get the equation 27=3x now you divide 27 by 3 and get 9 so the equation will be x=9

Answer:

b n=5

c. n=4

Step-by-step explanation:

Answer:

372

Step-by-step explanation:

Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:

714 - 342 = 372

Answer:

9x² + 12x + 16

Step-by-step explanation:

(27x³ - 64) / (3x - 4)

= (3x - 4)(9x² + 12x + 16) / (3x - 4)

= 9x² + 12x + 16

x+14 = 7x+32-3x

x+14 = 4x+32

-x          -x

14 = 3x+32

-32       -32

-18 = 3x

/3        /3

-6 = x

x = -6

Answer:

x=-6

Step-by-step explanation:

x+14=7x+32-3x

x+14=7x-3x+32 group like terms

x+14=4x+32 add similar element

x+14-14=4x+32-14 subtract 14 from both sides

x=4x+18 simplify

x-4x=4x+18-4x subtract 4 from both sides

-3x=18

then divide both sides by 3

and then simplify

then u get x=-6

Q1. I will use team A's results to claim that their shoes are larger because   the mean of team A is 13.92 whereas the mean of team B is 12.83.

Q2. I will use team B's results to claim their shoes are larger because the table of team A stops at 16, however team B's top shoe size is 18, therefore team B has the largest shoe size.

Q3. Both teams have the same average shoe size because the results are only 1 size away from each other most times.

(sorry about Q3 I'm not entirely sure about that one.)

Answer:

b is 23.7

a is 17.6

d is 9m8

Step-by-step explanation:

these are based on my calculations

hope i helped :)

The factor of the polynomial 6x² + x − 7 using factorization is (x − 1) and (6x + 7). Then the correct option is C.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given as 6x² + x − 7

On factorization, we have

6x² + x − 7

6x² + 7x − 6x − 7

x (6x + 7) −1 (6x + 7)

(x − 1)(6x + 7)

More about the factorization link is given below.

https://brainly.com/question/6810544