Annie bakes cookies and cupcakes in a ratio of 2 to 7 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake ?

Answer:

san po jan

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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Step-by-step explanation:

I hope it will help man and also what's the answer please mention ?

Answer:

In ΔABC and Δ DEC:

∠ABC = ∠DEC (both angles are 90 degrees )

We can see that the angles, ∠ABC and ∠DEC are corresponding angles

Since the corresponding angles are equal, we can say that:  AB || DE

In ΔABC and Δ DEC:

∠ABC = ∠DEC  (Both are 90 degrees)

∠ACB = ∠ECD  (Common angle)

Hence, by the AA criterion, we can say that ΔABC ≈ Δ DEC

Finding the Ratio of Similarity:

From the triangle, we see that:

BC = 12 units

EC = 7 units

Since the triangles are similar, they have a constant ratio between their sides

Ratio of sides of  ΔABC and Δ DEC = BC / EC

Ratio = 12 / 7

Finding h:

We can see that the sides AB and DE are similar, we also know the ratio of similarity between the sides

We can say that:

h * ratio of similarity = AB

h * 12/7 = 9

h = 63 / 12

h = 5.25 units

Answer:

His hourly wage is $17.50

His normal wage would be $700 evenly.

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Answer:

112.5

67.5

Step-by-step explanation:

We know the ratio is:

5:3

So, we can write it as:

5x+3x=180, with 5x being one angle, and 3x being the other

combine like terms

8x=180

divide both sides by 8

x=22.5

5(22.5)=112.5

3(22.5)=67.5

So, one angle is 112.5 and the other is 67.5.

Hope this helps!

Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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Answer:

The area of the square is increasing at a rate of 40 square centimeters per second.

Step-by-step explanation:

The area of the square (\(A\)), in square centimeters, is represented by the following function:

\(A = l^{2}\) (1)

Where \(l\) is the side length, in centimeters.

Then, we derive (1) in time to calculate the rate of change of the area of the square (\(\frac{dA}{dt}\)), in square centimeters per second:

\(\frac{dA}{dt} = 2\cdot l \cdot \frac{dl}{dt}\)

\(\frac{dA}{dt} = 2\cdot \sqrt{A}\cdot \frac{dl}{dt}\) (2)

Where \(\frac{dl}{dt}\) is the rate of change of the side length, in centimeters per second.

If we know that \(A = 25\,cm^{2}\) and \(\frac{dl}{dt} = 4\,\frac{cm}{s}\), then the rate of change of the area of the square is:

\(\frac{dA}{dt} = 2\cdot \sqrt{25\,cm^{2}}\cdot \left(4\,\frac{cm}{s} \right)\)

\(\frac{dA}{dt} = 40\,\frac{cm^{2}}{s}\)

The area of the square is increasing at a rate of 40 square centimeters per second.

Answer:

Jessica and some friends have ordered two pizzas. One is a medium sized pizza while the other is a large

Step-by-step explanation:

Jessica and some friends have ordered two pizzas. One is a medium sized pizza while the other is a large

Answer:

Step-by-step explanation:

See the picture below

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer:

Step-by-step explanation:

Add 53 and 35 because 53 and x are alt exterior angles. That means that they are equal/ congruent. You can translate the angle where the 35 is down to x because they are equal.

So:

53+35= 88 degrees

x=88

Answer:

Doesn’t go though origin

Step-by-step explanation:

It’s non proportional because the line doesn’t go though (0,0) being the origin

hope this helped :)

(if you still don’t understand ill try to explain further in the comments)

Step-by-step explanation:

The last one.

-5 is notht included but 6 is.

It is proved that, 15th term = a+14d = 0.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

If 5 times the 5th term of an AP is equal to 10 times the 10th term

let, 1st term = a

common difference = d

so, we get,

5(a+4d) = 10(a+9d)

5a+70d=0

a+14d=0

we know,

15th term = a+14d

Hence, It is proved that, 15th term = a+14d = 0.

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The slope of the line passing through (0, 5) and (-12, 2) will be 1/4.

What is Slope?

A slope of a line is a number that describes both the direction and the steepness of the line.

Given that;

Two points on line are (0, 5) and (-12, 2).

Now, The slope of the line passing through (0, 5) and (-12, 2) are calculated as;

m = (2 - 5)/ (-12 - 0)

m = - 3 / -12

m = 3 / 12

m = 1/4

Thus, The slope of the line passing through (0, 5) and (-12, 2) will be 1/4.

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Answer:

4.5

Step-by-step explanation:

because 4 times 8 is 32 and .5 times 8 is 4 so 32 plus 4 is 36

Answer:

2 1/6

Step-by-step explanation:

2/3+2/4=8/12+6/12=14/12=1 2/12=1 1/6

1 1/6+1=2 1/6

Answer:

21 hes got the right answer

The logarithmic equation is equivalent to this exponential equation is x = log (8/25) (option c).

In this case, we are asked to find the logarithmic equation that is equivalent to the given exponential equation:

2,400 = 7,500(10)⁻ˣ

To solve for x, we need to isolate it on one side of the equation. We can start by dividing both sides by 7,500:

2,400/7,500 = (10)⁻ˣ

The choice of base for the logarithm doesn't matter, as long as we use the same base for both sides. Let's use base 10:

log(2,400/7,500) = log(10⁻ˣ)

Using the properties of logarithms, we can simplify the right-hand side:

log(2,400/7,500) = -x*log(10)

We know that log(10) = 1, so we can simplify further:

log(2,400/7,500) = -x

x = log(8/25) = log(8) - log(25) = 0.9031 - 1.3979 = -0.4948

So the only answer choice that gives us the same equation as the original exponential equation is (C) x = log (8/25).

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Complete Question:

Which logarithmic equation is equivalent to this exponential equation?

2,400 = 7,500(10)^(-x)

A. x= -log (25/8)

B. x = log(-25/8)

C. x = log (8/25)

D. x = -log (8/25)

Answer:

C

Step-by-step explanation:

all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair

y = 1 is a horizontal line which intersects the y-axis at (0, 1)

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

\(x = 2\)

Step-by-step explanation:

Let's solve:

\(4x+22=6(x+3)\)

Step 1: Simplify both sides of the equation.

\(4x+22=6(x+3) \\ 4x+22=(6)(x)+(6)(3)\\ (Distribute) \\ 4x+22=6x+18\)

Step 2: Subtract 6x from both sides.

\(4x+22−6x=6x+18−6x\\ −2x+22=18\)

Step 3: Subtract 22 from both sides.

\(−2x+22−22=18−22 \\ −2x=−4\)

Step 4: Divide both sides by -2.

\( \frac{ - 2x}{ - 2} = \frac{ - 4}{ - 2} \\ x=2\)

Answer:2

Step-by-step explanation:

Answer:

B. 14,525

Step-by-step explanation:

If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:

$35 x 415 = $14,525

Therefore, the answer is B. $14,525.

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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Answer:

second one

Step-by-step explanation:

Answer:

It is the first one

Step-by-step explanation:

1+1=2  2+1=3 4+3=7  so it would be the top one 2 the number on the side is 3 and the bottom is 7

Answer: 7 centimeters equals 70 millimeters :)