For every 3 strawberries, 1 banana needs to be added to the mixture. The ratio of strawberries to bananas is 3:1. Write this ratio in two other ways. Also, if you had 20 bananas and 15 strawberries, how many mixtures of the ratio of strawberries to bananas, 3:1, would you be able to make?

The factored form of the cubic equation x³ + 27 is equal to (x + 3) · (x - 3 / 2 - i 3√3 / 2) · (x - 3 / 2 + i 3√3 / 2). The roots of the cubic equation are - 3, 3 / 2 + i 3√3 / 2 and 3 / 2 - i 3√3 / 2.

In this problem we find a cubic equation of the form x³ + a³, whose factor form can be found by using algebra properties:

f(x) = x³ + 27

f(x) = (x + 3) · (x² - 3 · x + 9)

f(x) = (x + 3) · (x - 3 / 2 - i 3√3 / 2) · (x - 3 / 2 + i 3√3 / 2)

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Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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Answer: A.four hundred fifty dollars and five cents

$450.05

Step-by-step explanation:

The correct way to write $450.05 in words on a check is "four hundred fifty dollars and five cents."

A number system is defined as a system of writing to express numbers.

The number 450 can be written as "four hundred fifty," while the decimal portion of 0.05 can be written as "five cents." Together, this gives us "four hundred fifty dollars and five cents."

Option B, "four hundred fifty and five hundredths dollars," is incorrect because it does not include the word "cents" and uses an uncommon way of expressing the decimal portion of the amount.

Option C, "four hundred fifty and 05/100," is also incorrect because it uses a mixed format of words and numbers, which can be confusing and may not be accepted by some banks.

Hence, the correct way to write $450.05 in words on a check is "four hundred fifty dollars and five cents."

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Answer:

is 7.5 hope i help

Step-by-step explanation:

u put them in order from least to greatest

1 , 4, 6, 9, 15, 19

then  take out one number from each side after that u are left with 6 and 9 and whats in the middle of does two numbers ? well u just estimate and it might be 7.5

Answer:

5. We can already tell from the looks of it that she is using a different number for pi throughout her answers. Therefore it is C

6. 2 x 3.14 x 4.9 = 30.772 rounded would be 31, C is your answer.       *formula of circumference:* pi(3.14 or 22/7 whatever they tell you to use for pi) x 2(its just always there when finding circumference) x radius(half of diameter or already given radius)

7. Let's just find the value of X on the top.

51(given degree) + 90(right angle degree) + X = 180(straight line degree)

51 + 90 + x = 180

141 + x = 180

-141      -141

X = 39

39 is the same to x beneath so therefore the value of x is 39 degrees.

Answer:

True statements:  a, c and d

Step-by-step explanation:

The x-intercept of the line would be negative.  As it is impossible to make a negative number of calls, the x-intercept is meaningless.

To find the amount that Ms Padilla is charged per minute, find the slope of the line by substituting the two given points into the slope formula:

\(\implies \sf Slope=\dfrac{Change\;in\;y}{Change\;in\;x}=\dfrac{21-16}{125-0}=\dfrac{5}{125}=0.04\)

Therefore, Ms Padilla is charged $0.04/min.

From inspection of the graph, the y-intercept is (0, 16).

Therefore, Ms Padilla pays $16 for the months she makes 0 minutes of calls.

Answer:

2x^3-5x^2-17x+20

Step-by-step explanation:

Answer: 2x^3 - 5x^2 - 17x + 20

Step-by-step explanation: just simplify it

Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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Answer:

1<x<4

Step-by-step explanation:

9<2x+7<15

9+−7<2x+7+−7<15+−7(Add -7 to all parts)

2<2x<8

2 /2 < 2x /2 /< 8 /2  (Divide all parts by 2)

1<x<4

The width of the rectangle is 7.2 cm because if you divide 93.6 cm by 13 cm you will get 7.2 cm.

Brainliest please that would be nice of you(:

Answer:

x−y+4=8

4x−5+y=0

7x+y=0

OR

6x−3y=12

6x+2y=8

x+6y=5

Step-by-step explanation:

honestly idrk what the question is here but there are some examples as if on a table! Hope this helped!!

Answer:

f(10) = 38

Step-by-step explanation:

Notice that this sequence is given in recurrent form, so you need to know the previous term in order to calculate the following one. Then let's get into all the 10 terms needed:

f(1) = 2

f(2) = 2 + 4 = 6

f(3) = 6 + 4 = 10

f(4) = 10 + 4 = 14

f(5) = 14 + 4 = 18

f(6) = 18 + 4 = 22

f(7) = 22 + 4 = 26

f(8) = 26 + 4 = 30

f(9) = 30 + 4 = 34

f(10) = 34 + 4 = 38

Answer:

13

Step-by-step explanation:

To find the distance, d, between two points on the Cartesian plane use the distance formula.

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

The points are (3, -4) and (8, 8), so you can use:

x1 = 3

y1 = -4

x2 = 8

y2 = 8

Now plug in all values above in the formula and evaluate it.

\( d = \sqrt{(8 - 3)^2 + [8 - (-4)]^2} \)

\( d = \sqrt{(5)^2 + (8 + 4)^2} \)

\( d = \sqrt{25 + (12)^2} \)

\( d = \sqrt{25 + 144} \)

\( d = \sqrt{169} \)

\( d = \sqrt{13} \)

Answer:

1) 0.3%= 3/1000= 0.003

2) 1.32= 132%

Step-by-step explanation:

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Answer:

Percent means “out of a hundred“

So 0.3 percent as a decimal can just be you multiplying it by 0.001

Since it’s a hundred percent

You’d get 0.003 as a fraction

For 1.32 into a percentage

Remeber percent means out of a hundred

So in this case its 1.32

1 is a whole number so thats already 100 percent

32 extends to the hundreths place so it becomes 32/100

Now add

100+32 = 132

132%

Answer:

4

Step-by-step explanation:

because 2 1/2 times 4=10

42 ≤ x ≤ 88 is a mathematical way to represent the given statement about the high temperatures in D.C.

Inequality refers to a condition where there is an unequal distribution of resources, opportunities, or benefits among individuals, groups, or societies. It can manifest in various forms, such as income inequality, wealth inequality, gender inequality, racial inequality, educational inequality, healthcare inequality, and many others.

Inequality can have significant negative effects on individuals and society, including reduced social mobility, higher poverty rates, lower economic growth, increased crime rates, and political instability. Many governments and organizations work to address inequality through policies and initiatives aimed at promoting equal opportunities and reducing disparities.

The inequality 42 ≤ x ≤ 88 is a mathematical way to represent the given statement about the high temperatures in D.C.

The symbol "≤" means "less than or equal to," and the symbol "≥" means "greater than or equal to." Therefore, the inequality can be read as "x is greater than or equal to 42 and less than or equal to 88."

In the context of the high temperatures in D.C., x represents the temperature in degrees, and the inequality states that the temperature must be within the range of 42 to 88 degrees.

This type of inequality is called a compound inequality, as it involves two inequalities linked by the word "and." The compound inequality sets a range of values for the variable x, rather than just one specific value.

Therefore, 42 ≤ x ≤ 88 is a mathematical way to represent the given statement about the high temperatures in D.C.

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The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :

To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67

Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

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Ans is 351/8.

hope it is helpful

An equation to represent the total number of pounds will be this:

Total number of pounds, T = 12p

An equation is a mathematical expression that shows how two statements are equal to each other. In this equation, we are told that the number of bags that were ordered for mulch was 12 bags. If one of the bags weighs p pounds, then the logical statement for the weight of 12 bags will be 12 multiplied by the weight of a unit bag.

We can decide to sum up the weight of the individual bags or simply multiply the number of the bags by the weight of each bag. So, the mathematical equation above is right.

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The discount rate raised to nth power.

NPV is defined as Net Present Value. It is mainly used in capital budgeting and investment planning for the purpose of analyzing the project profit. NPV is the difference between  the present value of cash inflows and the present value of cash outflows in a period of time. The occurrence of cashflows in a series at different times is termed as NPV. NPV is a measure widely used in finance and commercial real estate. It is used to help taking decisions in accounting calculation. The cashflow that is discounted can be termed as NPV.

A simple example for NPV is, If a security offers a series of cashflows with an NPV of $30,000 and an investor pays exactly $30,000 for it, then the  investor's, NPV is $0.

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The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The Slope(m) of the line is defined as the change in y coordinate with respect to change in x coordinate ,

The Slope(m) of line passing through the points A(a,b) and B(c,d) is calculated using the formula

m = (d-b)/(c-a)

In the question

it is given that the line passes through the points (-2,1) and (2,-1) .

name the points as A(-2,1) and B(2,-1) .

the values are a=-2  ,  b=1  ,  c=2  ,  d=-1 .

Substituting the values in the formula of Slope we get

m = (-1-1)/(2-(-2))

= -2/(2 + 2)

= -2/4

= -1/2

Therefore , the slope of the line passing through the points (-2,1) and (2,-1)  is -1/2 .

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Answer:

Step-by-step explanation:

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The probability that x < y is 1/8 or 0.25 .

What is probability of an event?
The possibility or chance of an event happening is commonly believed to be the probability of it happening. In the most basic scenarios, the probability that a specific event 'A' will occur as a result of an experiment is calculated by dividing the number of ways that 'A' can happen by the total number of possible outcomes.
P(A) = Number of events concerning 'A' / Total events in consideration.

Given, the vertices of the rectangle are (0, 0), (4, 0), (4, 1), (0, 1).
On carefully analyzing and plotting the vertices roughly, we get that the given rectangle has a width of 4 units and a height of 1 unit.
Therefore, the area of the given rectangle = Width*Height = 4*1 = 4 units²
Also, it can be assessed that the line x = y passes through the points of the rectangle at (0, 0) and (1, 1).
Thus, the area for which x < y will be an isosceles triangle with side length of 1 units and co-ordinates of vertices as (0, 0), (0, 1) and (1, 1).
The area of the isosceles triangle thus assumed = 0.5 × 1² = 0.5 units²
Probability that x < y is P(E): 0.5/4 = 1/8 = 0.25
Therefore, the probability that x < y is 1/8 or 0.25 .

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Answer:

1.256 cm²

Step-by-step explanation:

2πr

0.4 ÷ 2 = 0.2

2 × 3.14 × 0.2

1.256 cm²

Answer:

Try 120

Step-by-step explanation:

There are five dashes in between 100 and 200. Count up by 20s

ANSWER

2(32-343x)

As calculated in the photo above

Answer:

225 feet

Step-by-step explanation:

-245 plus -83 then add 103

Answer:

the age of the object, to the nearest year, is 11,550 years.

Step-by-step explanation:

o determine the age of an object using carbon dating, we need to know the amount of carbon-14 remaining in the object and the decay constant (k) of carbon-14. The formula to find the age (t) of an object is:

t = -(1/k) x ln(Nf/Ni)

where Nf is the amount of carbon-14 remaining in the object, Ni is the initial amount of carbon-14 when the object was alive, and ln is the natural logarithm.

Let's assume that we have an object with 25% of the original carbon-14 remaining. We can plug this value into the formula along with the decay constant of carbon-14:

t = -(1/0.00012) x ln(0.25/1)

t = -(1/0.00012) x (-1.386)

t = 11550 years

Therefore, the age of the object, to the nearest year, is 11,550 years.

Question:

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.

Answer:

A) 16.64 Feets

B) 7.65 feets

Step-by-step explanation:

Given the following :

The question above can be solved by applying Pythagoras rule :

A^2 = B^2 + C^2

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

PR = 16.64feet

Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:

QR² = PR² - PQ²

QR² = 16² - 14²

QR² = 256 - 196

QR² = 60

Take the Square root of both sides

QR = √60

QR = 7.7459666 Feets