A basket contains apples and oranges in the ratio of 4:1. How many apples are there if the total amount of fruits is 40?

To solve for x and find the measure of each angle, set up the equation (3x-45) + (2x + 15) = 90, combine like terms, and solve for x. Then, substitute the value of x back into the expressions for angle M and P to find their measure.

To solve for the value of x and find the measure of each angle, we'll use the fact that complementary angles add up to 90 degrees. So, we can set up the equation: (3x-45) + (2x + 15) = 90.

Now, let's solve for x:

3x - 45 + 2x + 15 = 90

Combine like terms: 5x -30 = 90

Add 30 to both sides: 5x = 120

Divide both sides by 5: x = 24.

Substitute the value of x back into the expressions for angle M and P to find their measure:

Angle M = (3(24) - 45) = 57 degrees

Angle P = (2(24) + 15) = 63 degrees

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Final answer:

Angles M and P are complementary, summing to 90 degrees. By setting up the equation (3x - 45) + (2x + 15) = 90 and solving for x, we find that x = 24, angle M measures 27 degrees, and angle P measures 63 degrees.

Explanation:

To solve for the value of x when angles M and P are complementary, we need to set up an equation based on the fact that the sum of complementary angles is 90 degrees. Therefore, we can write the equation as the sum of both angles: (3x - 45) + (2x + 15) = 90. After combining like terms and solving for x, we can find the measure of each angle by substituting the value of x back into the original expressions for angle M and angle P.

Write the equation for complementary angles: (3x - 45) + (2x + 15) = 90

Simplify and combine like terms: 5x - 30 = 90

Add 30 to both sides: 5x = 120

Divide by 5: x = 24

Find the measure of angle M: M = 3x - 45 = 3(24) - 45 = 27 degrees

Find the measure of angle P: P = 2x + 15 = 2(24) + 15 = 63 degrees

Thus, the value of x is 24 degrees, angle M measures 27 degrees, and angle P measures 63 degrees.

Answer:

The answer would be 512 cubic yards

Step-by-step explanation:

When you have the area of one of the sides, you can multiply it by 8 because it is a cube and that would give you 512. hope this helps :)

Answer:

i don't know and i need coins or point

Answer:A,D,F,G

Step-by-step explanation:

All of these say either decrease, depreciate, or decay which all mean exponential decay

Answer: 2.5

Step-by-step explanation:

One complete revolution equals 360 degrees. To find out how many revolutions 900 degrees represent, you divide 900 by 360 resulting in 2.5 revolutions.

To ascertain the number of revolutions in 900 degrees, consider that a full circle encompasses 360 degrees. Dividing 900 by 360 yields 2.5, revealing that 900 degrees translates to 2.5 revolutions. This calculation stems from the fundamental concept that each complete revolution covers 360 degrees. In essence, the formula involves dividing the given degree measure by the standard degree value for a full revolution. Consequently, this approach facilitates the conversion of angular measurements into a more comprehensible representation of revolutions, aiding in the interpretation of rotational or circular motions within mathematical or physical contexts.

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Answer:

2/6 = 1/3

Step-by-step explanation:

you have a six sided dice. 2 numbers over the entire dice numbers so that would be, 2/6 which simplifies to 1/3

Have a great day!

The probability of rolling either a 3 or a 5 on a single roll of a fair six-sided die is 1/3.

To calculate the probability of rolling either a 3 or a 5 with a single roll of a six-sided die, we need to consider that there are 6 possible outcomes (the numbers 1 through 6). Since each face has an equal chance of landing face up, each single number has a probability of 1/6. When calculating the probability of rolling a 3 or a 5, we add the probabilities of these two separate events together because they are mutually exclusive outcomes.

The probability of rolling a 3 is 1/6, and the probability of rolling a 5 is also 1/6. Thus, the probability of rolling either a 3 or a 5 is given by:

(Probability of rolling a 3) + (Probability of rolling a 5) = 1/6 + 1/6 = 2/6

After simplification, the probability in its simplest form is:

1/3

Answer:

20y = -5x + 10

y = -1/4x + 1/2

y - 3 = -1/4(x - 8)

y - 3 = -1/4x + 2

y = -1/4x + 5

Step-by-step explanation:

Answer: -17/15 or simplified as a mixed number -1 2/15

Step-by-step explanation: First convert both -4/5 and 1/3 to fifteenths. Multiply -4/5 by 3/3 to get -12/15. Multiply 1/3 by 5/5 to get 5/15. Then subtract 5/15 from -12/15. -12-5=-17 (numerator).

Answer:

yes,it is equilateral and isosceles because all three angles measure 60°(equilateral).A triangle is isosceles if 2 angles measure the same

Answer:

Step-by-step explanation:

{-7,-6,-5,-4,-3,-2,-1,0,1 }

9 numbers between -8 and 2.

Answer:

I think it's 8\12

Step-by-step explanation:

there are numbers from 1 to six on each dice that means there are 12 numbers on the two dice together and it says four or less there are 1,2,3 and four on the dice that is four or less double that and you get 8when you put that over 12 it becomes 8/12. I hope it helps alot

The probability of rolling a sum of 4 or less with two dice is 6 out of 36 outcomes, which simplifies to 1/6 or 0.1667 when rounded to four decimal places.

To calculate the probability that the sum of two rolled dice will be 4 or less, we can list all possible outcomes (the sample space) and then count the favorable outcomes. A single six-sided die has 6 faces, so the total number of outcomes when rolling two dice is 6 × 6 = 36. The pairs of dice that sum to 4 or less are: (1,1), (1,2), (1,3), (2,1), (2,2), and (3,1). There are 6 such pairs, so the probability of rolling a sum of 4 or less is 6/36, which simplifies to 1/6.

The probability should be rounded to four decimal places if necessary, but in this case, the fraction simplifies exactly to 1/6. Therefore, the probability is 0.1667 when rounded to four decimal places.

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Answer:

Aluminum

properties- light weight, reflectivity

ductility Corrision Ressistance

uses- kitchen utensils, cans, foils, window frames

GIVE ME BRAINLIEST

An aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency).

In Science, some of the mechanical and physical properties of materials used in the construction of buildings include the following:

An aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency). Also, copper is used for wiring because it is a good conductor of electricity (current).

In conclusion, an iron is used for nails because of its strength (hardness) and ability to resist corrosion.

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Answer:

The diameter is 14

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know the area is 49 pi

49 pi = pi r^2

Divide each side by pi

49 pi/ pi = pi r^2/pi

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 =r

We want the diameter

d = 2r

d = 2*7

d = 14

To model the growth of a savings account with an exponential function, we will use the formula to calculate the amount of money, A(t), accumulated after a certain number of years, t, given an initial principal amount, P, and an annual interest rate, r.

The standard formula for exponential growth in the context of compound interest is as follows:

\[ A(t) = P (1 + r)^t \]

where:
- \( A(t) \) represents the amount of money in the savings account after \( t \) years.
- \( P \) is the principal amount initially deposited into the account.
- \( r \) is the annual interest rate (expressed as a decimal).
- \( t \) represents the time in years.

For your savings account, you start with $400 (the principal amount, \( P \)), and it gains 3% interest every year (the annual interest rate, \( r \)).

Let's assign the given values to their respective variables in the formula:

- \( P = \$400 \)
- \( r = 3\% = 0.03 \) (since 3% as a decimal is 0.03)
 
Inserting these values into the formula yields the specific exponential function for this savings account:

\[ A(t) = \$400 (1 + 0.03)^t \]

This equation represents the amount of money that will be in the savings account after any number of years, \( t \), based on the continuous application of a 3% annual interest rate.

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1)

m = [tex]\frac{1-0}{0+1}[/tex] = 1

Answer:

39

Step-by-step explanation:

Answer:

240,000

Step-by-step explanati

Answer:

240000

Step-by-step explanation:

Answer:

-91w + 60

Step-by-step explanation:

to simplify this -10(10w-6-w)-w

we have,

-10(10w-6-w)-w

-100w + 60 + 10w - w

-91w + 60

Answer:

[tex]6n - 5[/tex]

Step-by-step explanation:

Step 1:  Rewrite as a numerical expression

[tex](6 * n) - 5[/tex]

[tex]6n - 5[/tex]

Answer:  [tex]6n - 5[/tex]

If needed, solve

[tex](6 * n) - 5 + 5 = 0 + 5[/tex]

[tex]6n / 6 = 5 / 6[/tex]

[tex]n = 5/6[/tex]

Answer:It is the result is 7 more than the sum of 3 times the number and 13.  

Step-by-step explanation:

Answer:

6" × 10"

Step-by-step explanation:

Because the dilation is a whole number we know the rectangle will be enlarging, and we are told this is by two. So you will take and multiply the dimensions by two.

(2 × 3") × (2 × 5")

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Answer:

2x + 3

Step-by-step explanation:

Given

2x² + 5x + 3

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 3 = 6 and sum = 2 + 3 = 5

The factors are 2 and 3

Use these factors to split the x- term

2x² + 2x + 3x + 3 ( factor the first/second and third/fourth terms )

= 2x(x + 1) + 3(x + 1) ← factor out (x + 1) from each term

= (x + 1)(2x + 3) ← in factored form

Thus the other factor is (2x + 3)

Answer:

2x+3

Step-by-step explanation:

It's B on edg

Answer:

31.2

Step-by-step explanation:

Ratio shows us the number of times a number contains another number. The weight of the fruit box is 31.2 lbs.

A ratio shows us the number of times a number contains another number.

As it is given the ratio of the fruits oranges, apples, and pears is 2:5:6. And the weight of the oranges in the box is 4.8 lbs.

Let's assume that the weight of the oranges, apples, and pears is 2x, 5x, and 6x respectively.

Now, as the weight of the oranges is 4.8 lbs, therefore,

The weight of the oranges, 2x = 4.8 lbs

                                                 x = 2.4 lbs

Now, as we know the value of x, therefore, the weight of the fruit box is,

[tex]\begin{aligned}\text{Total weight of the fruit box} &= 2x + 5x+ 6x \\&=13x \end{aligned}[/tex]

Now, substitute the value of x, therefore, we can write it as,

                                             [tex]=13x\\\\= 13(2.4)\\\\= 31.2\rm\ lbs[/tex]

Hence, the weight of the fruit box is 31.2 lbs.

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Answer:

the answer is d

Step-by-step explanation:

the y is always the second number in the coordinate pair and it is on the negative y-axis plain

Answer:

(0,-4)

Step-by-step explanation:

The coordinate of when the line hits the y axis is (0,-4).

Answer:

125=15d+50

Step-by-step explanation:

Subtract what she has from what she needs so 125-50=75

Then divide that by the amount of money she makes a day to figure out how many days she'll need to work so, 75/15=-5

She will have to work 5 days in order to have enough to buy her ticket

Answer:50+15d=125

5 days

Step-by-step explanation:

Subtract 50 from both sides to get 15d=75 then divide both sides by 15 and the answer is 5 days

Answer:

$1300

Step-by-step explanation:

The piecewise function is defined as f(x) = 0.05x - 300 over the income range of $15,000 to $40,000. An Aribraska resident who earns $32,000 would owe $1,600 in taxes.

The piecewise function is defined as f(x) = 0.05x - 300 over the part of the domain where the income is between $15,000 and $40,000. This is because the tax rate of 5% is being applied to the income in this range. For any income above $40,000, the tax rate is 7%, so the function would not be equal to 0.05x - 300.

To calculate the amount of taxes owed by an Aribraska resident who earns $32,000, we need to determine the income range that applies to this amount. Since $32,000 is within the range of $15,000 to $40,000, we can use the piecewise function to calculate the taxes:

f(32,000) = 0.05(32,000) - 300 = 1,600

Therefore, an Aribraska resident who earns $32,000 would owe $1,600 in taxes.

Law of sines.

The sine is a trigonometry function that is equal to the ratio of the opposite side of the given triangle and is considered to be from e right-angled triangle. The question states the start fraction for the sine in upper case A and the end fraction for lower case B. Hence the answer is given.

Answer is over c end fraction in triangle BCD, where d is equal to 3, b is equal to 5 and angled is at 25 degrees.

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By applying the Law of Sines and solving for sin(B), we find that the possible approximate measures of angle B are 45° and 135°. Therefore, the correct answer is option D.

To determine the possible measures of angle B in triangle BCD using the Law of Sines, start with the given information:

Using the Law of Sines:

Substitute the known values:

Calculate sin(25°):

Set up the equation:

Cross-multiply to solve for sin(B):

We now find B using the sine inverse function:

Thus, the possible approximate measures of angle B are 45° and 135°.

The correct answer is option D: 45° and 135°.

Complete Question:

Law of sines: In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures of angle B?  

A.only 90°

B.only 155°

C.20° and 110°

D.45° and 135°

Answer:

3.5 in.

Step-by-step explanation:

17.5 ÷ 5 = 3.5

The requried length of each side of the pentagon is 3.5 inches.

The perimeter of the pentagon is the measure of its circumference i.e. the sum of its 5 sides.

Here,
A regular pentagon has five equal sides. To find the length of each side of the pentagon, we need to divide the perimeter by 5.

Length of each side = Perimeter/5

Length of each side = 17.5 inches / 5

Length of each side = 3.5 inches

Therefore, the length of each side of the pentagon is 3.5 inches.

So the answer is 3.5 in.

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Answer: v= pi.r².h/3

29= 22/7.2².h/3

29×3×7/22×4= h

609/88=h

6.92=h

Step-by-step explanation:

Answer:

[tex]-2 + 0i[/tex]

Step-by-step explanation:

Step 1:  Find the answer

[tex]\sqrt[3]{-8}[/tex]

[tex]\sqrt[3]{(-2)^3}[/tex]

[tex]-2[/tex]

[tex]-2 + 0i[/tex]

Answer:  [tex]-2 + 0i[/tex]

Answer:

9/6 or 3/2 or 1 1/2

Step-by-step explanation:

Do distributive property to get rid of the parenthesis

4x + 2x + 3 = 12

combine like terms

6x + 3 = 12

move the 3 over by subtraction

6x = 9

divide by 6

x = 9/6 or 3/2 or 1 1/2

Answer:

Exact Form:

X

=

3 /2

Decimal Form:

X

=

1.5

Step-by-step explanation: