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Given :

Tomas combined 7.28 ounces of strawberries with 8.06 ounces of blueberries to make fruit bowls.

He pours the fruit equally into four bowls and has a 1.58 ounces of fruit left over.

To Find :

Weight of each ounces of fruit bowl.

Solution :

Sum of fruits , S = 7.28 + 8.06 = 15.34 ounces.

Weight of put he filled in 4 bowls, W = 15.34 - 1.58 = 13.76 ounces.

So, weight of each fruit bowl is :

\(w=\dfrac{13.76}{4}\\\\w=3.44\ pounds\)

Hence, this is the required solution.

Answer:

Area = 13.0900 ft²

Step-by-step explanation:

Area of sector = θ/360 × πr²

We are assuming it's the area of the minor sector that we are asked to find.

Therefore,

θ = 360 - 300 = 60°

r = 5 ft

Plug in the values

Area of minor sector = 60/360 × π × 5²

Area = 13.0899694

Area = 13.0900 ft² (to 4 decimal places)

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

Answer:

44.82

Step-by-step explanation:

29.88 divided by 4 is 7.47 times 6 is 44.82

Answer:

44.82$

Step-by-step explanation:

4:29.88

6:x

4x=179.28

x=44.82$

The rate of return for the entire portfolio, given the amount allocated to each of the four securities is

The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.

The rate of return for the portfolio is therefore :

= ∑ ( proportion invested x rate of return )

= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x  - 12 % )

= 7. 8 %

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Answer:

x + 8 = 8 + x

Step-by-step explanation:

the commutative property for addition is A + B = B + A

so you basically just swtich the numbers around

x + 8 = 8 + x

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

So to make equal groups just create the number of groups (divisor, in this case: 4) and insert into that the number of the quotient( in this case: 7)

1) Let's make equal groups for that division since 7 added 4 times is equal to 28:

2) Since 7 x 4 is the same as adding 7 four times, we have above four groups with seven balls that added up yields 28, in each group we have 7 balls.

3) So to make equal groups just create the number of groups (divisor) and insert into that the number of the quotient. Note that this is valid just for exact divisions.

The intervals in which the function is decreasing. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\). Option 3

We're given a function f(x) = 2 sin x - x, which describes a curve on a graph. We want to find the intervals where this curve is decreasing (going down) within the range of -π to π.

To find when the function is decreasing, we look at its slope. The slope tells us if the curve is going up or down. We find the slope by taking the first derivative of the function: f'(x) = 2 cos x - 1.

We now have an equation for the slope, f'(x) = 2 cos x - 1. A negative slope means the function is decreasing. So, we want to find where f'(x) is less than 0 (negative).

We set up the inequality: 2 cos x - 1 < 0. We solve it to find the x-values where the slope is negative. The solution is cos x < 1/2.

From the inequality cos x < 1/2, we find the intervals within the range of -π to π where the function is decreasing. These intervals are [-π, -π/3] and [π/3, π].

The above answer is in response to the question below as seen in the picture.

Determine the interval(s) in \([-\pi, \pi ]\) on

which f(x) =  2 sin x - x

is decreasing.

1. \([-\frac{\pi }{3}, \frac{\pi }{3} ]\)

2. \([-\frac{\pi }{6}, \frac{\pi }{6} ]\)

3. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\)

4. \([-\pi , -\frac{-2\pi }{3} ], [\frac{2\pi }{3}, \pi ]\)

5. \([-\pi , - \frac{5x}{6} ], [\frac{\pi }{6}, \pi ]\)

6. \([-\frac{\pi }{6}, \frac{5\pi }{6} ]\)

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-4 is the x intercept.as in the values on the x-axis

Answer:

Im pretty sure it the first one

Step-by-step explanation:

Answer: B  :)

Step-by-step explanation:

you need to find the number of containers for all the juice so add all of them together and then divide by 1.4 or the volume of the containers to get to amount you need

Answer:

Step-by-step explanation:

15

The true statement about f(x) and g(x) is (a) the graph of f(x) is less steep than the graph of g(x).

The equations are given as:

\(f(x) = -\frac 34x -1\)

\(g(x) = -4f(x)\)

Substitute \(f(x) = -\frac 34x -1\) in \(g(x) = -4f(x)\)

\(g(x) = -4(-\frac 34x -1)\)

Expand

\(g(x) = 3x + 4\)

So, the equations of f(x) and g(x) are:

\(f(x) = -\frac 34x -1\)

\(g(x) = 3x + 4\)

A linear equation y = mx + b has a slope of m and a y-intercept of b.

So, the slopes of g(x) and f(x) are 3 and -3/4.

So, the y-intercept of g(x) and f(x) are 4 and -1

This means that

Both graphs are not the same, and they have different x-intercepts.

Hence, the true statement is (a)

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Answer:

4,944 kg of strawberries

Step-by-step explanation:

In order to know the amount of strawberries Berry Delicious used this year, you have to know how much is 60% of 3,090 kg of strawberries. You can solve this by multiplying 3,090 by 60%.

Let's solve.

Next, we have to add 1,854 kg to 3,090 kg.

Therefore, Berry Delicious used 4,944 kg of strawberries this year. This is 1,854 kg more than last year's.

Answer:

|−3| = 3, as −3 is 3 units away from 0 and |3| = 3, as 3 is 3 units away from 0.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Pick to easy to read points on the line: (-4, 0) and (0, 2)

Start at (-4, 0). To go to (0, 2), you go 2 units up. That is a rise of 2.

Then you go 4 units right. that is a run of 4.

slope = rise/run = 2/4 = 1/2

Answer: 1/2

Answer:

First find the slope of the straight line, m=(Y2-Y1)/(X2-X1)=(17–7)/(-5–0)=-2.

Using the standard equation of a straight line, y=mx+b, we know that m=-2.

Thus, so far we know that y=-2x+b.

Now plug in the coordinates of either of the above points, that we know do lie on the straight line, into our equation, y=-2x+b, and solve for b.

I will use the first point, (0,7), to get 7=(-2)(0)+b.

Solving for b, we see that b=7.

Therefore, the equation of the straight line is y=-2x+7.

It is a good idea to check your answer on a graphing calculator.

Answer:

99 cm2

Step-by-step explanation:

Area of triangle = (hb)/2

Replacing the numbers, we have : (11x18)/2 = 99 cm2

The value of f(g(1) from the table of functions is given as 1.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

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Answer:

The resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

Step-by-step explanation:  

Given the data in the question;

                                                       May                  June                          uly

Resin pounds input

into the process                        470,000            700,000                 650,000  

Price per pound                         X$1.50               X$1.50                    X$1.50

Plastic material costs             $493,000         $640,000                 $677,000

Conversion costs                    $80,000           $120,000                 $115,000

Conduit output from

the process (feet)                   800,000           1,200,000                 1,130,000

Assuming that there is one-half pound of resin per foot of the finished product, determine the resin materials cost per foot of finished product for June.

Now;  

Materials cost for June = $640,000

Number of Feet produced as output in June =  1,200,000    

so

Material Cost per feet of finished product will be;

= $640,000 / 1,200,000

= $0.5333 ≈ $0.53

Therefore, the resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

The point R in the context refers to the break even point where the cost for aaden  is same when either he take the annual fee or borrow

The break-even point is a term commonly used in business and finance to refer to the point at which total revenue equals total costs, resulting in neither profit nor loss. In other words, it is the level of sales or production volume at which a company or project covers all its expenses and generates zero net income.

At the break-even point, the revenue generated from selling a product or service covers both the variable costs (costs that vary with the level of production, such as raw materials or direct labor)

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Answer:

who asked

Step-by-step explanation:

Answer:

$278.15×60= $16688.969

Step-by-step explanation:

Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk

To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:

Formula for monthly payments

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= monthly payments

P= mortgage loan value

r= interest rate on loan

n= number of payments = 15×12= 180 monthly payments

Substitute :

A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1

A= $113500×0.0495×296.104/5980.90

A= $113500×0.0495×0.049508

A= $278.15

To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment

60×$278.15= $16688.969

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion