A bag contains red and blue counters in the ratio 3:5. There are 90 red counters in the bag. What is the total number of counters in the bag?​

The exponential function for each set of points is y = 3 * 2ˣ,

What is the exponential function?

An exponential function is a Mathematical function in form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

The exponential function can be described as y = 3 * 2ˣ,

where,

x is the input value

and y is the output value.

This function says that for every increase in x by 1 unit, the value of y will be multiplied by 2, starting from an initial value of 3.

For example, when x = 0, y = 3 * 2⁰ = 3, and when x = 1, y = 3 * 2¹ = 12.

Hence, the exponential function for each set of points is y = 3 * 2ˣ,

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The supplied document states that Juan must pay $265.32 in total for the instrument.

Any transaction in which goods or services are exchanged for cash is referred to as a sale. In other words, a transaction is any activity that involves transferring ownership of a good or service to the buyer in exchange for cash.

The instrument costs $329.99 at standard pricing.

$329 * 25% = $82.50

The guitar's discount price is thus $329.99 less $82.50, or $247.49.

7.25% of the purchase price is used to compute sales tax.

Therefore, $247.49 * 7.25% = $17.83

As a result, we eventually tack on the taxation to the purchase price to determine Juan's final obligation to pay for the guitar.

$247.49 + $17.83 = $265.32

The total price that Juan shall pay for something like the guitar is thus $265.32.

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This is an example of stratified sampling.

Samples may be classified as:

For this problem, we have that the population was divided into groups, hence either cluster or stratified sampling was used.

As an equal proportion of each group was sampled instead of the entire group, stratified sampling was used.

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A protractor is a tool used for measuring and drawing angles. It is typically a semi-circular piece of plastic or metal with a degree scale marked along its curved edge.

The scale typically ranges from 0 to 180 degrees, which covers half a circle. To measure or draw an angle of 45 degrees, you would line up the protractor's baseline with one arm of the angle and use the degree scale to find 45 degrees. If you are drawing the angle, you would then use a straightedge to extend the other arm of the angle from the point where it intersects the 45-degree mark on the protractor.

It's important to note that the 45-degree angle represents 45/360 of a full circle, which is equal to one-eighth of a full rotation. This means that if you were to rotate the angle around its vertex, it would make one-eighth of a full circle before aligning with its original position.

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Answer:

BD = 2.4

Step-by-step explanation:

the answer can be easily found by using pythagoreans theorem.

BD = height (h)

3 = SqrRt ( 1.8² + h² )

3² = 1.8² + h²

9 - 1.8² = h²

5.76 = h²

h = 2.4

Answer:

Step-by-step explanation:

The answer is Graph B.

First the equation needs to be in standard form.

x² + 8x= -20

becomes    y = x² + 8x + 20

The leading coefficient is positive - a positve one is in front of the x.

So the parabola opens upward.

solve for the x coordinate of the minimun by using the formula

x = -b/2a

x = -8/2(1) =  - 8/2 =   -4

substitute -4 into the original equation.

y = (-4)² + 8(-4) + 20

y = 16 + -32 + 20

y = -16 + 20

y = 4

so the minimun - or bottom of the parabola is (-4, 4)

Correct choice is graph B

Answer:

9.79

Step-by-step explanation:

12 × 8 and root of that is 9.7979589

The probability that the sum of the two dice will be odd is 2/3.

The probability of getting an odd number from the sum of two fair dice can be calculated as follows:

If both dice show an odd number (1 or 3), the sum will be even.

If both dice show an even number (2 or 4), the sum will be even.

If one die shows an odd number and the other an even number, the sum will be odd.

Since each die has a 1/3 chance of showing an odd number and a 2/3 chance of showing an even number, the probability of getting an odd number is 2/3 * 1/3 + 1/3 * 2/3 = 2/3.

Therefore, the probability that the sum of the two dice will be odd is 2/3.

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Erik’s average speed in miles per hour is  114. 04 miles per hour

Average speed can simply be defined as the total distance that is traveled by the object in a particular time range.

It is also known as a scalar quantity, that is, it has magnitude but no direction.

From the information given, we have that;

The formula for average speed is expressed as;

Average speed = Distance/ time

Substitute the values, we get;

Average speed = 2623/23

Divide the values, we get;

Average speed = 114. 04 miles per hour

Hence, the value is 114. 04 miles per hour

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Answer:

Step-by-step explanation:

Perimeter of the rectangle= 42 cm

                               Length= x

                              Breadth= y

                                  2(x+y)= 42

                                     x+y= 42/2= 21 (Let it be the first equation)

Perimeter of the triangle= 36 cm

                         x+y+2y-3= 36 cm (Let it be the second equation)

Substitute equation 1 in 2.

 x+y+2y-3= 36

⇒ 21+2y-3= 36

            2y= 36-21+3

            2y= 18

              y= 18/2

              y= 9

x+y= 21

x+9= 21

   x= 21-9

   x= 12

∴ the values of x and y are 12 and 9 respectively.

The proportion of minor arc ZPSR is equivalent to 48 degrees.

Given a circle Q with focus Q and minor curve PR with a proportion of 48 degrees, the objective is to find the proportion of ZPSR, the focal point that compares to the minor circular segment PR.

Since the focal point and the circular segment length of a circle are corresponding, the proportion of ZPSR can be found by partitioning the proportion of the minor curve PR by 360 degrees and afterward duplicating by the all out number of degrees all around, which is 360.

The recipe for the focal point comparing to a minor circular segment is given by:

mZPSR = (mPR/360) × 360

Subbing the given worth of mPR = 48, we get:

mZPSR = (48/360) × 360

= (1/7.5) × 360

= 48

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Answer:

It's exactly one

Step-by-step explanation:

You can test:

Op1:

x = -1

==> -1-1 = -2 then -2x2 = -4 (This's right)

Op2:

x = 1

==> 1-1=0 (this's wrong)

So ==> Ans is A) Exactly one

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The given quadratic equation has exactly two solutions. Therefore, option B is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is (x-1)²= -4.

Square root on both the sides we get

√(x-1)²=√(-4)

x-1=±2i

x=±2i+1

x=2i+1 and x=-2i+1

Therefore, option B is the correct answer.

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Answer:

Step-by-step explanation:

To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.

In this case:

Journey distance = 12714 km - 12138 km = 576 km

So the journey was 576 kilometers.

Answer:

1.25

Step-by-step explanation:

To get your answer first multiply the $25 by 5% then you will get 1.25 as your answer.

Answer:

Step-by-step explanation:

It can be modeled by the equation:

y = x + 0.05x

So, Keenan pays about $398.02

Answer:

10,5625

Step-by-step explanation:

S (triangle) = 1/2 * a * h

a= 3 1/4 = 3.25

h = 6 1/2= 6.5

=> S= 10,5625

Maxwell's father comes to live with him in his house, and his number of dependents has now increased.

Maxwell can count his father as his dependent if his father is not able to earn his own livelihood. Maxwell should submit a new W4 form clearly mentioning his father as his dependent.

A W4 form is used to inform employers about withholding correct federal income tax on the employee pay.

This is based on the allowances deducted for the dependents and then the income left is subject to tax.

Maxwell can claim an allowance for his father. The correct option is to Submit a new W4 form.

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Yes, Emma is correct. The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

2(3w-6) = 6w - 12

2(3w-6)

2 • (3w - 6)

2 • 3w - 2 • 6

6w - 12

The expression 2(3w-6) can be expanded by first multiplying the two together. This is done by multiplying the coefficient of 2 with each of the terms inside the parentheses. This results in 2 • 3w - 2 • 6. Next, the terms inside the parentheses can be combined. Since they are both being multiplied by 2, we can simply add the two terms together, resulting in 6w - 12. Thus, the expression 2(3w-6) can be expanded to 6w - 12.The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

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In the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.

A mathematical equation, such as 6 x 4 = 12 x 2, states that two amounts or values are equivalent a meaningful noun.

An equation is used when two or more factors must be considered jointly in order to understand or explain the whole situation.

So, in the question we have:

50 pages of the book already read by Chole.

He reads 40 pages every hour.

He reads for more x hours.

Then, accordingly, the equation will be:

40x + 50 = P

Where x is the number of hours read and P stands for the total pages read.

Therefore, in the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.

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Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.

Ryan rides his bike for 30 minutes and travels a distance of 4 miles.

We have to determine how fast he was traveling.

Time = 30 minutes

First we convert the minutes in hours.

As we know that;

1 hour = 60 minutes.

So 1 minute = 1/60 hours

30 minutes = 30/60 hours

30 minutes = 1/2 hours

Distance = 4 miles

The formula of speed is;

Speed = Distance/Time

Speed = 4/(1/2) miles per hours

Speed = 4 × 2 miles per hours

Speed = 8 miles per hours

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There are 2880 calories in three pounds of the ice cream.

There are 750 calories in ten ounces of a certain ice cream.

Total calories=750

Number of ounces given=10

First, we need to convert three pounds to ounces:

⇒1 pound=16 ounces

⇒3 pounds = 3 * 16 ounces = 48 ounces

So, we need to find the number of calories in 48 ounces of the ice cream.

Since there are 750 calories in ten ounces, then there will be

⇒[tex]750*\frac{48}{100}[/tex]750 = 2880 calories in 48 ounces.

Therefore, there are 2880 calories in three pounds of the ice cream.

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The expression 32.6/10 - 5 x 8 - 9.16 + 88.9 has the value of 43.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Let's the expression to be found be "y".

An expression that, when evaluated, gives us a value of 43 is required.

Start by manipulating the given expression to isolate the value of "y".

Use the order of operations (PEMDAS) to simplify the expression -

32.6/10 - 5 × 8 - 9.16

3.26 - 40 - 9.16 (since 5 × 8 = 40)

-45.9

So the value of the given expression is -45.9.

To make the expression equal to 43, add a constant term to it -

y = 32.6/10 - 5 × 8 - 9.16 + 88.9

Evaluate this expression -

y = 3.26 - 40 - 9.16 + 88.9

= 43

Therefore, the expression obtained is 32.6/10 - 5 x 8 - 9.16 + 88.9.

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After buying x bottles of water, the money will remain in her checking account is equals to the $(250 - 2x). So, the correct answer is option (b).

We have Denise has a checking account.

The amount on her checking account = $250

The price of each water bottle = $2

Number of boltes bought by Denise = x

Let the total remaining money after the spend by Denise on water bottles be " $y". Total cost of x bottles = number of bottles × cost of one bottle

= x× $2 = $ 2x

We have to determine the value of y. The money remaining in her account = total amount in her checking account - spends money

=> y = $ 250 - $2x

which is a two variable linear equation, when we know that how many bottles she buy, i.e., value of x then we will determine the value of y. So, the required value is $ 250 - $2x .

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Complete question:

Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys

x bottles of water, how much money will remain in her account?

a) $ 250 + $2x

b) $ 250 - $2x

c) $250

One foot is equal to 12 inches in the customary system.

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Answer: y=x/3 + 5/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.

Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Step 1: Find the slope:

We can use the two points to find the slope:

m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2

Step 2: Use the point-slope form:

y - 1 = 2(x - (-2))

y - 1 = 2x + 4

y = 2x + 5

The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.

a) 100%
b) 19/50 or 38%

TRUE .The domain of the function is all real numbers.

FALSE , The range of the function is (0, [infinity]).

FALSE, The y-intercept is (0, 0).

FALSE , The center of symmetry is (0, 8).

True. The function f(x) = 2x^3 + 8 can take any real number as input and produce a real number as output.

False. The range of the function is all real numbers greater than or equal to 8, i.e., [8, [infinity]).

False. The y-intercept of the function is (0, 8), meaning that when x = 0, the output of the function is 8.

False. The function f(x) = 2x^3 + 8 does not have a center of symmetry, as it is an odd degree polynomial.

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The value the angles Y is 40° if ∠S and ∠Y are complimentary, as stated in the previous sentence.

Complement or "favorable" refers to "offering a compliment." In the context of goods or services offered as a favor, it can also signify "free." The term "complementary" means to emphasize or enhance the positive aspects of that other person or object.

Angles that add up to 90 degrees are said to have complementary angles.

As a consequence, the value of factor y will be determined using the information provided:

x + y = 90°

3y - 70° + y = 90°

Collect like terms

3y + y = 90° + 70°

4y = 160°

y = 160/4

y = 40°

Angle y has a value of 40°.

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The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.

Fred's dog weight in September= 45 pounds

Percentage increase= 25%

Fred's dog weight in March = x

45 = x + (25% of x)

45 = x + 0.25x

45 = 1.25x

divide both sides by 1.25

x = 45/1.25

x = 36 pounds

Hence, Fred's dog weighs 36 pounds in March.

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Answer:

138

Step-by-step explanation:

720 - all the angles added up gives you the missing angle

Answer:

x = 138°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

sum the interior angles and equate to 720°

x + 85° + 135° + 125° + 85° + 152° = 720°

x + 582° = 720° ( subtract 582° from both sides )

x = 138°

Answer:

First Two Options

Step-by-step explanation: