What is the solution to the equation?
7/8 = m/32
A)24
B)28
C)30
D)14

Answer:

the correct answer is 21

Step-by-step explanation:

5+3×3(2)-2

5+18-2

=21

The values are satisfied by

X  -5    -4    -3    -2    -1      

Y -5     -3     -1      1     3

Given data :

Y= 2X +5

let us put the value for X

X= 0

Y = 5

and, X=1

Y = 2 + 5 = 7

and, X= 2

Y= 4 + 5 = 9

and, X=3

Y = 6 + 5 = 11

and, X= 5

Y = 10 + 5= 15

and, X= -1

Y= -2 + 5 = 3

Hence, these values are satisfied by

x      y

-5    -5

-4    -3

-3    -1

-2     1

-1      3

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Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Step-by-step explanation:

Exponential Function, example y=e×;

Cubic Function, example y=x³;

Quadratic Function, example y=x²;

Linear Function, example y=x-1;

Absolute Function, example y=|x|;

Cube Root Function, example y=∛x;

Constant Function, example y=2.

Answer:

63

Step-by-step explanation:

Answer: 4 units

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Cos is the adjacent side over the hypotenuse.

Set \(y = f^{-1}(x)\) and \(f(y) = x\)

Interchange the variables \(x\) and \(y\)

\(3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}\)

Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  \(24\frac{1}{2}\)

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction \(1\frac{2}{5}\) × \(1\frac{2}{5}\)

We need to simply it in a mixed fraction,

\(1\frac{2}{5}\) × \(1\frac{2}{5}\)

= 7/2 × 7/2

= 49 / 2

= \(24\frac{1}{2}\)

Hence, the simplified mixed fraction for the given fraction is  \(24\frac{1}{2}\)

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If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Answer:

SAS

Step-by-step explanation:

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

five kids .each 6 sweaters and 9 trousers

Step-by-step explanation:

The total number of cases at which one dice shows a '5' would be 11. the required probability of the given event is 11/36.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Here, a pair of six sided dice are tossed.

Therefore, the total number of combinations of two dice is;

6² = 36.

The case at which one die will shows a '5' are:

(1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)

Therefore, the total number of cases at which one dice shows a '5' would be = 11.

Therefore, the required probability of the given event that 5 appears on at least one of the dice is

= 11/36

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A.)the annual rate of change is  $1,266.67 per year

B)the rate of change as a percentage is 3.7235%.

C)   the car value be in the year 2011 is $8,350.

A percentage is a way of expressing a portion or fraction of a whole as a number out of 100. The term "percent" comes from the Latin per centum, which means "by the hundred."

A) To calculate the annual rate of change between 1991 and 2006, we need to first calculate the total decrease in value over that time period, and then divide that decrease by the number of years.

The total decrease in value is:

$34,000 - $15,000 = $19,000

The number of years between 1991 and 2006 is:

2006 - 1991 = 15 years

So the annual rate of change is:

$19,000 / 15 years = $1,266.67 per year

B) To express the rate of change as a percentage, we need to divide the annual rate by the initial value and then multiply by 100:

($1,266.67 / $34,000) x 100% = 3.7235%

Rounding this to 4 decimal places, we get: 3.7235%.

C) To calculate the value of the car in the year 2011, we need to continue the depreciation using the same annual rate of change.

From 2006 to 2011 is a period of 5 years.

The value in 2011 will be:

$15,000 - ($1,266.67 x 5) = $8,333.35

Rounding to the nearest $50, we get: $8,350.

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The percentage that can be filled with $3 in 1990 is: 29.41%

To calculate percentage growth rate:

Beginning:

Calculate the difference (increase) between the two numbers you are comparing. after that:

Divide the increment by the original number and multiply the result by 100. Growth rate = increment / original number * 100.  

We are told that it cost $3 to fill a gas tank as at 1970.

Now, there was a percentage price increase of (78.8 - 23.1)% = 55.2% from 1970 to 1990. Thus:

Cost of a gallon in 1970 = $0.36

Thus, number of gallons bought with $3 = 3/0.36 = 8.33 gallons at full tank

Now, in 1990, the cost is $1.23 and as such:

Quantity that can be bought = 3/1.23 = 2.45 gallons

Percentage of tank filled = 2.45/8.33 * 100% = 29.41%

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Answer:

1. (-4)^2 = 16

2. (-3)^3 = -27

Step-by-step explanation:

The required amount to be paid into the fund each period is $1535.21. which the correct answer would be option (B).

Lee Associates borrowed $60,000 in total. The corporation intends to establish a sinking fund to repay the debt after 12 years.

Assuming a semiannual compounding rate of 8%,

As per the given information, the required solution would be as:

Amount to be paid into the fund each semi-annual period will be

= Loan Amount/((1+r/2)²ⁿ⁻¹)/(r/2))

= 60000/(((1+8%/2)²ˣ¹²⁻¹)/(8%/2))

= $1535.21

Thus, the required amount to be paid into the fund each period is $1535.21.

Hence, the correct answer would be an option (B).

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The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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\(\huge\text{Hey there!}\)

\(\huge\text{The formula for finding the area of a}\\\\\huge\text{parallelogram is:}\)

\(\mathtt{\bold{b}ase\times\bold{h}eight= \bold{a}rea}\)

\(\huge\text{Your equation should look like:}\)

\(\mathtt{8\ cm \times 24\ cm\ = area}\)

\(\huge\text{Solving for your answer:}\)

\(\mathtt{8\ cm \times 24\ cm\ = area}\\\mathtt{\rightarrow 24\ cm \times8 \ cm = area}\\\mathtt{\rightarrow 24cm + 24cm + 24cm + 24cm + 24cm + 24cm + 24cm + 24cm}\\\mathtt{\rightarrow 48cm + 48cm + 48cm + 48cm}\\\mathtt{\rightarrow 96cm + 96cm}\\\mathtt{\rightarrow 192cm}\)

\(\huge\text{So, what is the answer?}\)

\(\huge\boxed{\mathtt{192\ cm^2}}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Whenever there is no exponent on a variable,

you can give it an exponent of 1.

So we can rewrite the x's in this problem as x¹.

When we multiply two terms together

with like bases, we add their exponents.

So now just add their exponents to get x².

Given the function;

Given that 60% of Olivia's fruit salad is made up of apples as opposed to Amadou's fruit salad's 52.63%, Olivia's fruit salad will have a more apple-forward flavor based on percent.

The amount of apples in each fruit salad needs to be compared in order to determine which salad will taste more apple-like.

There are 19 cups of fruit in Amadou's fruit salad, of which 10 cups are apples. By dividing the total number of cups of fruit by the number of cups of apples, and multiplying the result by 100, we can get the proportion of apples in Amadou's salad:

Apple's percent of Amadou's fruit salad is equal to (10/19) x 100, or 52.63%.

There are 5 cups of fruit in Olivia's fruit salad, of which 3 cups are apples. We can use the same formula to determine how much apple is in Olivia's salad:

Olivia's fruit salad contains 60% apples, or (3/5) x 100.

As a result, Olivia's fruit salad will taste more apple-like because apples make up 60% of it as opposed to only 52.63% of Amadou's fruit salad.

It is important to keep in mind that the maturity, sweetness, and freshness of the fruits used, as well as other elements like the dressing and presentation, may all affect how the fruit salad tastes.

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Answer:

3238 i think

Step-by-step explanation:

176x18.4=3236

V = I divided by resistance so voltage times the resistance or the I equals what ever you are trying to find

Answer:

25 + 9^3

Step-by-step explanation:

The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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so,

cosΘ = adjacent/hypotenuse = 8/17

tanΘ= opposite/ adjacent = 15/8

cosecΘ= hypotenuse/opposite = 17/15

secΘ = hypotenuse/adjacent = 17/8

cotΘ= adjacent/opposite= 8/15

Step-by-step explanation:

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Jose is 10 years old now

Let carl's age be c

Let Jose's age be j

Carl is 10 years older than Jose

c = j + 10.........................(1)

Five years ago, Carlos was three times as old as Jose

c - 5 = 3(j - 5).......................(2)

Substitute equation (1) into equation (2)

j + 10 - 5 = 3(j - 5)

j + 5 = 3j - 15

3j - j = 5 + 15

2j = 20

j = 20/2

j = 10

Therefore, Jose is 10 years old now

The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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