how do you convert decimals into fractions?

Answer:

m > 124

Step-by-step explanation:

switch sides, add 91 to both sides then simplify :)

You need to isolate/get the variable "m" by itself on one side of the equation

33 < m - 91    Add 91 on both sides to get m by itself

33 + 91 < m - 91 + 91

124 < m    [124 is less than m]

Josh bought a total of 1,800 grams of fruit. This includes 1.5 kg of oranges (converted to 1,500 grams), 150 grams of grapes, and 15,000 centigrams of apples (converted to 150 grams). The weights were converted to grams to find the total weight.

The subject of the question you've asked pertains to Mathematics, specifically to the topic of weight measurement and addition. We have to convert different measurements to a uniform unit and then sum them up to find the total weight of all the fruits bought by Josh at the farmer's market.

To solve the problem presented in the question: Josh bought 1.5 kilograms of oranges, 150 grams of grapes, and 15,000 centigrams of apples. We want to find out the total weight of fruits in grams. First, we need to convert kilograms and centigrams to grams, since kilograms and centigrams are not directly compatible with grams. We know that 1 kilogram equals 1,000 grams, and 1 centigram equals 0.01 grams.

So, converting Josh's purchases to grams:

Oranges: 1.5 kg × 1,000 = 1,500 grams

Grapes: 150 grams (already in grams, no conversion necessary)

Apples: 15,000 cg × 0.01 = 150 grams

Now, we simply add all the weights in grams:

1,500 grams (oranges) + 150 grams (grapes) + 150 grams (apples) = 1,800 grams of fruit in total.

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Answer:

Therefore the expression for y when x is 2 is

[tex]y=\dfrac{48}{6}\times 2[/tex]

Step-by-step explanation:

Given:

y varies directly as x, and y is 48 when x is 6

Means  Direct Variation.

Therefore,

[tex]y=kx[/tex]

Where,

k = Constant of Proportionality

To Find:

y when x = 2

Solution:

First step we need to Find Constant of Proportionality

So put y = 48 and x = 6

Substituting the values we get

[tex]48=k\times 6\\\\k=\dfrac{48}{6}[/tex]

Now When x = 2 and [tex]k=\dfrac{48}{6}[/tex] y will be

[tex]y=\dfrac{48}{6}\times 2[/tex]

Therefore the expression for y when x is 2 is

[tex]y=\dfrac{48}{6}\times 2[/tex]

Answer:

B

Step-by-step explanation:

You can solve this by using the vertical line test. When you do the vertical line test, the vertical line should only pass through one point on the function. That means that there can to be only one value of x for every y. Set B is the only set where the x value doesn't repeat.

In the provided sets of ordered pairs, B and D are considered functions. A function is a relation where each input corresponds to exactly one output, and in sets B and D, this requirement is met.

In mathematics, a relation is considered a function if and only if every input (also called the domain or the x-coordinate) corresponds to exactly one output (also called the range or the y-coordinate). In the language of ordered pairs, an ordered pair presents itself as (x, y). If x repeats with a different y in the set, then the relation is not a function.

So let's examine the sets of ordered pairs given:

Therefore, the set of ordered pairs which are functions are B and D.

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n(D) = 4

Step-by-step explanation:

Given Data:

Set D = {4, 6, 8, 10}

The number of elements in a set is called the cardinal elements (or) cardinality of the sets. This is denoted by n(A).

Here it is denoted by n(D).

The number of elements in the set D is 4.

The cardinality of the set is 4.

Hence, n(D) = 4.

For the given set D; the number of elements in the set D as denoted by n(D) is; 4.

According to the question;

The number of elements in a set is given by the notation n(D).

On this note, the set given in this question;

Ultimately, n(D) = 4 elements.

Read more on number of elements in a set;

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Answer:

therefore the given equation is linear but it is not proportional.

Step-by-step explanation:

i) Is y = 4x - 5 proportional or non- proportional.

ii) therefore we can see that the equation is the same as the equation for a line, therefore the given equation is linear but it is not proportional.

Answer:

Part A) Circumference

Part B) C=π D

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

so

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

so

C=π D

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

[tex]D=200\ ft[/tex] ----> diameter of the Ferris wheel

substitute in the formula of circumference

[tex]C=\pi (200)\\C=200\pi\ ft[/tex]

assume

[tex]\pi=3.1416\\C=200(3.1416)=628.32\ ft[/tex]

therefore

The distance traveled in one rotation is 628.32 feet

Answer:

D

Step-by-step explanation:

Answer: Helping a fellow teen in need. I got you. lol. It's most likely A. Good luck miss Isabella

Step-by-step explanation:

The table referred to in the question is:

years=x population =y

 0                  40

 1                  62

 2                 96

 3                149

 4                231

Answer:

Explanation:

To discover the pattern followed by the data in the table, since it is indicated that the moose population is growing exponentially, you can find the multiplicative rate by dividing any two consecutive terms:

rate = 62/40 ≈ 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

Thus, using the first ordered pair of the sequence, (0,40), you get the equation that models the exponential growing:

[tex]p(x)=A_0(1.55)^{x}\\ \\ 40=A_0(1.55)^0\\ \\ 40=A_0\times 1\\ \\ A_0=40\\ \\ p(x)=40(1.55)^x[/tex]

Then, to find the population of moose after 12 years, you substitute x = 12:

[tex]p(12)=40(1.55)^{12}=7,692[/tex]

Answer:

A system of equations is shown below: x + y = 3 2x − y = 6 The x-coordinate of the solution to this system of equations is _____. I'm thinking it could be X=3

Step-by-step explanation:

The value of the y-coordinate of the solution to the system of equations is; y = 1.

According to the question;

The equations given are;

By solving the pair of equations simultaneously; we have;

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Answer:

Perimeter of triangle ABC = 5(3+13) = 5 x 16 = 80

Angle A = 30°, Angle B = 60°

Therefore Angle C = 90°

Pythagorean triplet = 40/3, 96/3, 104/3

Area of triangle ABC = 1/2 x b x h

= 1/2 x 40/3 x 96/3

= 1920/9

= 213.3 cm^2

Hope this helps!

The area of the triangle is found by recognizing that it is a special 30-60-90 triangle with sides in the ratio of 1: √3 : 2. The area, using these ratios and the given perimeter, is calculated as 25√3 square units.

This problem pertains to the area of a triangle. Because we know the two acute angles of triangle ABC, it is a 30-60-90 triangle. This is a special type of right triangle where the sides are in a particular ratio. In a 30-60-90 triangle, the sides across from the 30°, 60° and 90° angles are in the ratio of 1: √3 : 2.

Given that the perimeter is 5(3 + √13), we can set up the ratio for the sides as x, x√3, and 2x. Adding these together equals the perimeter: x + x√3 + 2x = 5(3 + √13). Solving this equation, we find x = 5.

The area of a triangle is calculated using the formula 1/2*base*height. Using the sides of the triangle, 5, 5√3, and 10, we will use the side across from the 90° angle (10) as the base and the side across from the 60° angle (5√3) as the height, giving us a triangle area of 1/2 * 10 * 5√3 = 25√3 square units.

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Answer:

The value of the given expression -9w+9 when w=15 is -126

Step-by-step explanation:

Given expression is -9w+9

To find the given expression when w=15:

That is put w=15 in the given expression we get

-9w+9=-9(15)+9

=-135+9 ( adding the like terms )

=-126

Therefore the value of the given expression -9w+9 when w=15 is -126

Answer:

$ 1.10

Step-by-step explanation:

p + r = 1.45....p = 1.45 - r

2p + r = 1.80

2(1.45 - r) + r = 1.80

2.90 - 2r + r = 1.80

-2r + r = 1.80 - 2.90

-r = - 1.10

r = 1.10 <=== a ruler costs $ 1.10

p + r = 1.45

p + 1.10 = 1.45

p = 1.45 - 1.10

p = 0.35 .......a pencil will cost $ 0.35

By setting up simultaneous equations based on the purchases of Phoebe and Ioeh and solving them, we find that the cost of the ruler is £1.10.

To determine the cost of the ruler, we need to set up two equations based on the given information about Phoebe and Ioeh's purchases and use the method of simultaneous equations.

Let's assume 'R' represents the cost of the ruler and 'P' represents the cost of one pencil.

According to the question:

To find the cost of the ruler, we can solve these equations simultaneously. Subtract the first equation from the second to eliminate R and find P:

1. R + 2P = £1.80
2. R + P  = £1.45

Subtract equation 2 from equation 1:

2P - P = £1.80 - £1.45
P = £0.35

Now that we know one pencil costs £0.35, we can substitute P back into either equation to find R. Let's use the first equation:

R + P = £1.45
R + £0.35 = £1.45
R = £1.45 - £0.35
R = £1.10

Thus, the ruler costs £1.10.

Answer: B. y = 3x - 26

Step-by-step explanation:

The equation of line in slope - intercept form is given as :

y = mx + c , where m is the slope and c is the y - intercept.

To write the given equation in this form , all we need do is to make y the subject of the formula.

y - 7 = 3 ( x - 11 )

y - 7 = 3x - 33

add 7 to both sides

y = 3x - 33 + 7

y = 3x -26

Answer: 25

Step-by-step explanation:

If two shapes are similar , then the ratio of their sides are also similar.

From the shapes given:

[tex]\frac{x}{50}[/tex] = [tex]\frac{20}{40}[/tex]

[tex]\frac{x}{50}[/tex] = [tex]\frac{1}{2}[/tex]

2x = 50

x = 25

Answer:

Domain : {-2, -1, 0, 4}

Range: {-2, 2, 3, 4}

Answer:

b,c

Step-by-step explanation:

Answer:

[tex]y = \frac{5}{2} + \frac{19}{2}[/tex]

Step-by-step explanation:

From the question;

We are required to determine the equation of a line that passes through points (-7,-8) and (-5,-3).

Note that we can get the equation of a line when;

Therefore, since we are given two points where the line is passing through we can get the equation;

First, we determine the slope of the line;

slope = change in y ÷ change in x

That is;

[tex]slope=\frac{(-3--8)}{(-5--7)}[/tex]

        [tex]=\frac{5}{2}[/tex]

Second, we take another point (x,y) and one of the points, in this case, we take (-5,-3).

Therefore;

[tex]\frac{y+3}{x+5}=\frac{5}{2}[/tex]

[tex]2(y+3)=5(x+5)\\2y + 6 = 5x +25\\2y= 5x + 19\\y = \frac{5}{2} + \frac{19}{2}[/tex]

Therefore, the equation of the line is [tex]y = \frac{5}{2} + \frac{19}{2}[/tex]

Answer:

So the LCM of 6 and 9 is 18.

Step-by-step explanation:

List the factors of both numbers.

6: 6, 12, 18, 24, 30, 36,

9: 9, 18, 27, 36

The LCM of 6 and 9 is found by prime factorizing each number and taking the highest power of each prime that appears, resulting in an LCM of 18.

To find the LCM (Least Common Multiple) of the pair of numbers 6 and 9, we first need to prime factorize each number. The number 6 can be prime factorized as 2 times 3, and 9 can be prime factorized as 3 times 3 or 3². In order to find the LCM, we take the highest power of each prime number that occurs in the factorization of both numbers. So, we take 2 from the factorization of 6 (since it's the highest power of 2) and 3² from the factorization of 9 (since it's the highest power of 3), and multiply them together to get the LCM.

The LCM of 6 and 9 is 2 times 3² = 2 times 9 = 18.

Thus, the Least Common Multiple of 6 and 9 is 18.

Answer:

The answer is that 90 couples remain at the party after 11 pm

Step-by-step explanation:

Number of people who went to the couples only party at 9 pm = 250

Number of people who left the party at 11 pm = 70

How many couples remained at the party?

People that remained at the party = 250 - 70 = 180

Couples that remained at the party = 180/2 = 90

The answer is that 90 couples remained at the party after 11 pm

Answer:

[tex]v = 15 \\ c = v \div 5[/tex]

Step-by-step explanation:

It could be this

Answer:

its a desperctive property

Step-by-step explanation:

Answer:

√41 or 6.40

Step-by-step explanation:

Pythagorean theorem:

a² + b² = c²

The third side is considered the hypotenuse (c²).

a² and b² will be represented by the legs.

a² = 4²

b² = 5²

c² = c²

4² + 5² = c²

16 + 25 = c²

31 = c²

√41 = c

[tex]\displaystyle\bf\\\textbf{A third side is hypotenuse.}\\\\The~length~of~the~hypotenuse=\sqrt{cat1^2+cat2^2}~~~(T.Pithagoras)\\\\The~length~of~the~hypotenuse=\sqrt{4^2+5^2}=\sqrt{16+25}=\boxed{\bf\sqrt{41}}[/tex]

First represent your 3 consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since their sum is 84, our equation reads x + (x + 1) + (x + 2) = 84.

Simplifying on the left side we get 3x + 3 = 84.

Now subtract 3 from both sides to get 3x = 81.

Dividing both sides by 3, we find that x = 27.

Finally, make sure you list all your answers.

If x is 27 then x + 1 is 28 and x + 2 is 29.

Answer:

27 + 28 + 29 = 84

Step-by-step explanation:

Let the three consecutive integers be x +1, x+2 and x+3

Thus,

[tex](x + 1) + (x + 2) + (x + 3) = 84[/tex]

Remove the brackets

[tex]x + 1 + x + 2 + x + 3 = 84[/tex]

Group the like terms

[tex]x + x + x + 1 + 2 + 3 = 84[/tex]

[tex]3x + 6 = 84[/tex]

To make 3x subject of formula, subtract 6 from both sides of the equation thus,

[tex]3x + 6 - 6 = 84 - 6[/tex]

[tex]3x = 78[/tex]

Divide through by 3

[tex] \frac{3x}{3} = \frac{78}{3} [/tex]

[tex]x = 26[/tex]

Since x = 26

[tex]x + 1 = 26 + 1 = 27[/tex]

[tex]x + 2 = 26 + 2 = 28[/tex]

[tex]x + 3 = 26 + 3 = 29[/tex]

Therefore, the three consecutive integers are 27, 28 and 29

Check

[tex]27 + 28 + 29 = 84[/tex]

Answer:

y = abx. Where a ≠ 0, the base b ≠ 1 and x is any real number ... When given a percentage explanation:

A charter is to a city government as a state constitution is to a state government.

Answer: Option D

Explanation:

Apart from the national level constitution, in the United States of America, every state has its own constitution. They are more detailed when compared to the national constitution as they tend to have more words or content when compared to the national level constitution.

The shortest one belongs to Vermont and the longest one belongs to Alabama. These constitutions tell how the government of each state must function and carry out its day to day activities.

Answer:

Therefore  40 milliliter of 50% fungicide solution is required

Therfore  60 milliliter of 10% fungicide solution is required

Step-by-step explanation:

i) Let the 10% fungicide solution have x milliliter and the 50% fungicide solution have y milliliter.

ii) Therefore 10x + 50y = 26(x + y)

                      x + y = 100

iii) form the first equation in ii) we get

                   16 x  = 24 y   Therefore [tex]x = \frac{24}{16} y = \frac{3}{2} y[/tex]

iv) substituting the value obtained in iii) in the second equation in ii) we get

      [tex]\frac{3}{2} y + y = \frac{5}{2} y = 100[/tex]

  Therefore y = 100 ÷ 2.5 =  40 milliliter

   Therfore x = 100 - 40 = 60 milliliter

Answer:

56 grape

Step-by-step explanation:

160 fruit chews

25% are cherry, 40% are peach.....25 + 40 = 65%....so 65% of the fruit chews are NOT grape....meaning (100 - 65) = 35 % ARE grape.

so 35% of all the fruit chews are grape

35% of 160 = 0.35 * 160 = 56 are grape <===

The number of grape fruit chews in the display are 56.

To find the number of grape fruit chews in the display case:

Calculate the percentage of cherry and peach fruit chews: 25% cherry + 40% peach = 65% cherry and peach combined.

Subtract the combined percentage from 100% to find the percentage of grape fruit chews: 100% - 65% = 35% grape.

Calculate the number of grape fruit chews by finding 35% of 160 (total fruit chews): 35% of 160 = 0.35 x 160 = 56 grape fruit chews.

Answer:

$112.7

Step-by-step explanation:

15%=0.15

0.15*98=14.7

98+14.7=112.7