A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form.

Answer:

amount invested in funds that earned 10% is $25,000, while the amount invested in stock that suffered 3% loss $3,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 10%.

Then the amount invested in stock that suffered 3% loss is 28,000 - x.

The profit from investment in funds is 10%x

The loss from investment in stock is 3%(28,000 - x).

The net profit is 10%x - 3%(28,000 - x).

As the net profit given in the problem is $2410, we have:

10%x - 3%(28,000 - x) = 2410

Solving for x, we have:

10x - 3(28,000 - x) = 241000 (multiply both sides by 100)

10x - 84000 + 3x = 241000

13x = 241000+84000

13x = 325000

x = 325000/13

x = 25,000

So

the amount invested in funds that earned 10% is $25,000.

the amount invested in stock that suffered 3% loss is 28,000 - x = 28000 - 25000 = $3,000.

Answer: A - 42

Step-by-step explanation:

Let x= ones digit, y=tens digit

1st (original number) :

7(x+y)=10y + x

2nd (new number by reversing the digits): 18+x+y=10x+y

simplifying:

1st condition: 6x=3y

2nd condition: x=2

substituting x=2 to 6x=3y

y=4

Answer:

The answer is 42 but let me tell you this question made my brain cell work an all nighter from how bad I am at riddles LOL

Step-by-step explanation:

Answer:

She has 4 gallons and 1 quart left

Step-by-step explanation:

4 quarts equals a gallon. Add the 2 gallons with the one gallon and it's 3 gallons. Then add the 3 quarts with the other 2 quarts for another gallon with a quart left over. Add that gallon with the other three and she has 4 gallons and 1 quart. Hope this helps :>

Answer:

C

Step-by-step explanation:

The function [tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex] represents the stretch of an exponential decay function.

The process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y = a(1-b)^{x}[/tex]

where,

y is the final amount,

a is the original amount,

(1 -b) is the decay factor,

and x is the amount of time that has passed.

For a  exponential decay function (1-b) is always less than 1. If (1-b) < 1 it represents the exponential growth function.

And if a < 1, then it represents vertical compression and if a > 1, then it represents vertical stretch.

According to given question.

We have some functions in which we have to find the which one represents the decay function.

According to the function

[tex]f(x) = \frac{4}{5}(\frac{5}{4} )^{x} }[/tex]

For the decay function, the decay factor will always less than 1. In the above function the decay factor [tex]\frac{5}{4}[/tex] i.e. 1.25 is greater than 1.

Therefore, the above function doesn't represent decay function.

[tex]f(x) = \frac{4}{5}( \frac{4}{5} )^{x}[/tex]

Here, a < 1 i.e.  [tex]\frac{4}{5}[/tex] is less than 1 so the given function is not a stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex]

Here, b < 1 so it represents the exponential decay function. Also a > 1.

Therefore, the given function is the stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{5}{4}) ^{x}[/tex]

Here, a > 1 but b > 1. Therefore, the above function doesn't represent the exponential decay function. It represents the exponential growth function.

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Answer:

$2.20

Step-by-step explanation:

If the beads cost $1.50 for each necklace, then we have to do $1.50 X 5 = $7.50

Then, $18.50 - $7.50 = $11

Then $11/ 5 = $2.2

The calculation 18/6=108 is not the right representation.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: One of the option as 18/6=108

But in the question Jenna buys 6 new shirts at $18

Thus the total cost of the shirts is 18*6=108

But 18/6=3

Thus this expression is not the right calculation.

Hence, The 18/6=108 is not the right representation.

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Answer:

AB and CD are parallel

Step-by-step explanation:

AB has the slope of -2/5

lets see what slope the line CD has:

as we see AB and CD have same slope, therefore they are parallel

Answer:

Q1. x = 10

Q2. x = 7

Step-by-step explanation:

The steps are :

Q1.

[tex]5x - 6 = 3x + 14[/tex]

[tex]5x - 3x = 14 + 6[/tex]

[tex]2x = 20[/tex]

[tex]x = 20 \div 2[/tex]

[tex]x = 10[/tex]

Q2.

[tex]6x - 11 = 4x + 3[/tex]

[tex]6x - 4x = 3 + 11[/tex]

[tex]2x = 14[/tex]

[tex]x = 14 \div 2[/tex]

[tex]x = 7[/tex]

Answer:

[tex]x=10, \: x=7[/tex]

Step-by-step explanation:

[tex]5x -6 = 3x + 14[/tex]

[tex]5x -6+6-3x = 3x + 14+6-3x[/tex]

[tex]5x -3x = 14+6[/tex]

[tex]2x=20[/tex]

[tex]x=\frac{20}{2}[/tex]

[tex]x=10[/tex]

[tex]6x - 11 = 4x + 3[/tex]

[tex]6x - 11+11-4x = 4x + 3+11-4x[/tex]

[tex]6x-4x = 3+11[/tex]

[tex]2x=14[/tex]

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Answer:

x = (k+9)/4

Step-by-step explanation:

4x - 9 =k

Add 9 to each side

4x-9+9 = k+9

4x = (k+9)

Divide each side by 4

4x/4 = (k+9)/4

x = (k+9)/4

Answer:

The answer is C

Explanation:

you first add 9 to both sides, you equation will then be 4x = k+9

you then divide both sides by for to get rid of the four from the left side, that will leave you with the equation of x = k+9 over 4

Answer:

30.8

Step-by-step explanation:

We can mutiply 246 by 0.125 to get the answer.

246 * 0.125 = 30.75 = 30.8

Answer:

30.8 megabytes

Step-by-step explanation:

We know that 12.5% of the 246 megabytes have been downloaded.

Of, means multiply. Therefore, we must multiply 12.5% and 246.

12.5%*246

Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.

12.5/100=0.125

12.5–> 1.25 —> 0.125

0.125*246

Multiply

30.75

We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.

30.8

30.8 megabytes have been downloaded.

Answer:

6m/16 = 3m/8

Step-by-step explanation:

since the fractions have the same denominator, just take out the operation on the numerators of the 2 fractions. So, 7m +(-m).

7m +(-M) is the same as 7m - m, so that is 6,

when you put it back together, you get 6m/16, simplify it to 3m/8

Answer:

See explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

Answer:

3360 cm^2

Step-by-step explanation:

24 times 14 times 10 = 3360

Answer:

y = x + 1

Step-by-step explanation:

I've already explained the process to you, but:

Slope intercept form is y = mx + b

When we count rise over run, we get 1/1, or just 1.

y = x + b (you don't have to write 1x)

The line intersects the y-axis at 1

y = x + 1

Please let me know if you don't understand

Answer:

9,000 m2

Step-by-step explanation:

If the longer rope has three times the length of the shorter rope, the perimeter and the sides of the triangle formed by the longer rope are three times the perimeter and sides of the triangle formed by the smaller rope.

The area of an equilateral triangle is:

[tex]Area = \frac{side^{2} * \sqrt{3}}{4}[/tex]

So, if the side is three times bigger, the area will be 9 times bigger (3^2).

The area of the small triangle is 1000 m2, so the area of the bigger triangle is 9 * 1,000 = 9,000 m2

Answer:Its A

Step-by-step explanation:

Its A because its right believe me

equivalent to One-fourth x is One-half x + one-half x; equation 7 is correct

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same. The given equation is equivalent to the expression one half and one half x.

Given information;

The expression given in the problem is,

(1/4) x [tex]x[/tex]

Equivalent expression;

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

1/4 x [tex]x[/tex]

As the above function is the function of x. Thus it can be written as,

f(x)= 1/4 x [tex]x[/tex]

The number four is the product of number 2 and number 2. Thus,

f(x)=(1/2x2) x [tex]x[/tex]

f(x)=(1/2 x 1/2) x [tex]x[/tex]

Hence the given equation is equivalent to the expression one half and one half x.

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Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

Answer:

Step-by-step explanation:

for 140

miles he had slept

[tex]\\ 1. (3x ^{2} + 2xy + 7) - (6x ^{2} - 4xy + 3) \\ = 3x ^{2} + 2xy + 7 - 6x ^{2} + 4xy - 3 \\ = 3x ^{2} - {6x}^{2} + 2xy + 4xy + 7 - 3 \\ = { - 3x}^{2} + 6xy + 4 \\ 2. \: {9x}^{2} - 2x + 3 - ( {4x}^{2} + 7x - 5) \\ = 9x ^{2} - 2x + 3 - 4x ^{2} - 7x + 5 \\ = {9x}^{2} - {4x}^{2} - 2x - 7x + 3 + 5 \\ = {5x}^{2} - 9x + 8 \\ 3. \: {x}^{2} - 5x + 6 \\ = {x}^{2} - (3 + 2)x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer with step by step explanation

[tex](1)(3 {x}^{2} + 2xy + 7) - (6 {x}^{2} - 4xy + 3) \\ 3 {x}^{2} + 2xy + 7 - 6 {x}^{2} + 4xy - 3 \\ = - 3 {x}^{2} + 6xy + 4[/tex]

[tex](2)9 {x}^{2} - 2x + 3 - (4 {x}^{2} + 7x - 5) \\ 9 {x}^{2} - 2x + 3 - 4 {x}^{2} - 7x + 5 \\ = 5 {x}^{2} - 9x + 8[/tex]

[tex](3) {x}^{2} - 5x + 6 \\ {x}^{2} - 3x - 2x + 6 \\ x(x - 3) - 2(x - 3) \\ (x - 2)(x - 3)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1. 4 2. 4 3. 5 4.1

Step-by-step explanation:

first box is 4 second box is 4 third is 5 fourth is 1.

You're welcome.

c. 22%

Step-by-step explanation:

sorry for no explanation

Answer:

answer is 0.33333333

Step-by-step explanation:

Answer:

0.33333333333

Step-by-step explanation:

My calculator gave me 1/3 but the real answer is 0.333 etc

different calculators give you different answers

Answer:

Timmy ate 13/24 of the pizza.

Step-by-step explanation:

To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.

Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2

Step-by-step explanation:

4m x 2mn = 8m^2n

4m x -8m = -32m^2

3n x 5n = 15n^2

3n x -6mn = -18 mn^2

when you add them all together,

8m^2n - 32m^2 + 15n^2 - 18mn^2

Answer:

exact form

8192/729

decimal

11.237

Step-by-step explanation:

cancel common factors

2.8x+8.7

Step-by-step explanation:

-2.1x+3.7+5+4.9x

=2.8x+8.7