you have added the fractions 2/5 and 4/10 by converting 2/5 into 4/10 so the denominators are the same. your addition has given you the total of 8/10. now what must you do?

what went wrong

the student did not cross multiply, and instead multiplied within each fraction.

rework the problem

mx24=8x15

m=120/24

m= 5

helpful strategy

draw a line from each value to the one you're multiplying it by

practice problems

12/z = 15/20

(a) The probability that the other person is shorter than x is = 1/2

(b) The probability that the first person chosen is shorter than x is 1/2.

(a) If we know that at least one person is taller than x, then there are two cases to consider:

The first person chosen is taller than x:

In this case, the probability of the second person being shorter than x is 1/2.

The second person chosen is taller than x:

In this case, the probability of the first person being taller than x is 1/2.

The total probability that at least one person is taller than x and the other person is shorter than x is the sum of these two cases:

P = (1/2) * (1/2) + (1/2) * (1/2)

= 1/2

(b) If we know that the person chosen second is taller than x, then the only possibility is that the first person chosen is shorter than x.

The probability of this happening is 1/2.

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Reason: Divide both sides by 2. The inequality sign stays the same. The only time it flips if you divided both sides by a negative value.

The graph involves an open hole at 4 with shading to the left. The open hole means "exclude this value from the shaded solution set".

Answer:

*1.5

Step-by-step explanation:

45/30＝1.5

use all ingredients *1.5 then get the ans

eg. 230g*1.5＝345g

150*1.5＝225

Answer:

352 inches squared

Step-by-step explanation:

The area of a triangle is 1/2 · base · height.  There are 4 of the same triangles here, so it would be (1/2 · 8 · 18) · 4 to find the surface area of all 4 triangles, but you can't forget about the base.  The area of a rectangle is length times width, so it would be 8 · 8.  This means the formula for the entire surface area of this square pyramid is ((1/2 · 8 · 18) · 4) + (8 · 8).  It can be simplified as follows:

((1/2 · 8 · 18) · 4) + (8 · 8)

((1/2 · 8 · 18) · 4) + 64

((4 · 18) · 4) + 64

(72 · 4) + 64

288 + 64

352

For given pie chart, 600 sixth graders were surveyed.

What is a pie chart?

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems. Each sector denotes a proportionate part of the whole. A pie chart requires a list of categorical variables and numerical variables. To find out the composition of something, Pie-chart works the best at that time. In most cases, pie charts replace other graphs like the bar graph, line plots, histograms, etc.

The total value of the pie is always 100%.

Now,

Given percentage of 6th graders that own birds=5%

and no. of birds they own=30

that means 1% birds are owned by 6 students.

Therefore for 100% students= 6*100=600 6th graders.

Hence,

          For given pie chart, 600 sixth graders were surveyed

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Answer:

The correct answer is the second alternative!

Answer: To determine what fraction of the cake is left convert the cake to 8ths which is 8/8. Subtract;. 8/8–7/8=1/8. The fraction left is 1/8.

7 answers

·

4 votes:

Let’s identify all the quantities here. [math]\frac{5}{8}[/math] is what all the g

Step-by-step explanation:

Answer:

The answer of the fraction is 4/5

Answer:

b)

Step-by-step explanation:

= 7/30 (5/15 ₊ 7/15) ÷ (25/30 - 18/30)

 = 7/30 (12/15) ÷ (7/30)

 = 7/30 (12/15) ×(30/7)

 = 12/15

 = 4/5

The maximum mortgage payment allowed for someone with an annual salary of $56,750 is $1891666.

According to the 28/36 guidelines, 28% of your gross monthly income should be spent on housing finances, and 36% of your total monthly income can be considered debt-free income.

Allow Total gross monthly income to equal $ x

The debt amount is $ 56,750.

So, 36% of x = $ 56,750

36x/100 = 56,750

x = 56,750 x 100 / 36

x = 157638.8

Annual income = 12 x 157638.8

= 1891665.6

= $1891666

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y=2x-2 is the equation of the graph.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the given figure the points are (2, 2)(3,4)(4, 6)

m=6-4/4-3

m=2/1

slope =2

Now let us find the y intercept

4=2(3)+b

4=6+b

b=-2

y=2x-2

Hence, y=2x-2 is the equation of the graph.

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The graph of the set of inequalities is given in attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

4x+8y is less than or equal to 8 and  5x+y is less than or equal to 10

4x+8y≤8

5x+y≤10

40x+8y≤80

40x+8y-4x-8y≤80-8

36x≤72

x≤72/36

x≤2

and now plug in x value

4(2)+8y≤8

8y≤0

y≤0

Hence, the graph of the set of inequalities is given in attachment.

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Ms. Losch can cut the original piece of rope into as many pieces as she wants, provided that each piece is the same length as the original.

If the original piece of rope is 12 inches long, she can cut it into 12 one-inch long pieces, 6 two-inch long pieces, 4 three-inch long pieces, 3 four-inch long pieces, 2 six-inch long pieces, or 1 twelve-inch long piece.

It is important to note that the pieces of rope must all be the same length, so if she wants to make any combination of the lengths, she must make sure that the total length of the pieces of rope adds up to the original length.

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As far as we are aware, a straight angle is defined as 180 degrees then the bi-conditional assertion is true.

It combines the conditions "if two line segments are congruent then they are of equal length" and "if two line segments are of equal length then they are congruent." Only when both conditionals are true does a biconditional hold. The symbol "or" is used to denote bi-conditionals.

A statement with two conditions is one that has the form "p if and only if q." In other words, if p, then q and if q, then p. "P iff q" or "p q" are other ways to express the biconditional "p if and only if q."

Since we have given that

1)  If and only if the angle's measurement is 90 degrees, it is a right angle : True.

As is common knowledge, one angle in a right-angled triangle must be 90 degrees.

2) If and only if an angle is obtuse, it measures 120 degrees : True

Obtuse angle is a term used to describe angles that are more than 90° but less than 180°.

And 90°<120°<180°

3) Only if the angle is a straight angle does it measure 180 degrees : True

As far as we are aware, a straight angle is defined as 180 degrees.

As a result, every bi-conditional assertion is true.

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The missing value is -3 = 7- 10.

Integers come in three types:

Given:

We have -3 = 7 - x

As, we know from the integers when we perform addition and subtraction in integers the answer will get the sign of larger number.

Here -3 shows the larger number is negative number.

But here we have 7 as positive integer which shows x > 7.

So, -3 = 7- x

-3-7 = -x

-10 = -x

x= 10

thus, we can write -3 = 7-10

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The scale factor is greater than 1. The drawing scale factor is 200.

What are the measuring units?

A unit of measurement is a specific magnitude of a quantity that has been established and adopted by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type. A length, for instance, is a physical quantity.

Given that, the sand volleyball court is 4 centimeters wide in the drawing. The actual length of the volleyball court is 8 meters wide.

The sacle factor is the ratio of the actual length to new object.

The scale fator is

8 meter : 4 centimeters

= 800 centimeters: 4 centimeters

= 800 : 4

= 200 : 1

=200/1

= 200

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Answer:

54 is the answer of pradnya age

Answer:

y = 5

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Because the slope is 0 and the y-intercept is 5, our equation will be

y = 5

Let x be the number of child tickets sold on Wednesday. Then, the number of adult tickets sold can be represented as 156 - x.

The total amount of money generated from the sale of child tickets is 5.80x, and the total amount of money generated from the sale of adult tickets is 9.70(156 - x). The total sales for the day were $1290.90, so we can set up the following equation:

5.80x + 9.70(156 - x) = 1290.90

Expanding the right-hand side and solving for x, we can isolate x:

5.80x + 1481.20 - 9.70x = 1290.90

-4.90x + 1481.20 = 1290.90

-4.90x = -190.30

x = 39

So, 39 child tickets were sold on Wednesday.  This is because the total number of tickets sold is 156, and since we know the number of child tickets sold, we can calculate the number of adult tickets sold by subtracting the number of child tickets from the total.

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Answer:

11

Step-by-step explanation:

12-5+4=12-1=11

The probability of a 6-card hand with three hearts and three spades is 0.001862, or 1/535

Probability is the mathematics of chance; it is the study of calculating the likelihood of certain outcomes in any given situation.

Here we have to find the probability of a particular 6-card hand consisting of three hearts and three spades is determined first by the fact that there are 13 hearts and 13 spades in a standard deck of 52 cards.

To calculate the probability of a 6-card hand consisting of three hearts and three spades, one must first consider that the order of the cards in a hand does not matter.

The total number of combinations of three hearts and three spades that can be drawn from a standard deck of cards is

=> 4,824.

This number can be calculated by an equation that uses the number of hearts, spades, and cards in a standard deck

=> (13 x 13 x 52).

Then the probability of a 6-card hand consisting of three hearts and three spades is calculated by dividing the number of combinations of three hearts and three spades

=>  (4,824) / (2,598,960).

This equation yields a probability of 0.001862, or a 1 in 535 chance of getting a 6-card hand with three hearts and three spades.

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Answer:

Yes, through AA

Step-by-step explanation:

The angles of a triangle = 180

One angle is a right angle, which is 90. They give us an angle of 52.

Subtracting 180-90 = 90

Then subtracting 90-52 gives you 38

If you look at the other triangle... what's the given angle? It's 38

180-90=90

90-38 = 52

That 52 looks familiar

The average rate of change for this function for the interval from x = 2 to x = 4 is 6.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is a relationship between a set of inputs and a set of allowable outputs that has the condition that each input is associated to precisely one output. Let A and B be any two non-empty sets; mapping from A to B is only a function if every element in set A has one end and only one image in set B.

Here,

The average rate of change for this function between x = 2 and x = 4 is 6.

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Answer:

18 pages

Step-by-step explanation:

47 pages in total - 29 pages read = 18 pages left

Answer:

The answer is 63 miles per hour.

The distance (d) is multiplication of speed x and time (t):

d = x * t

d = 1,764 mi

t = 28 h

x = ?

1,764 mi = x * 28 h

x = 1,764 mi / 28 h

x = 63 miles per hour

Step-by-step explanation:

the value of a in this expression will be 1/2.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.4

The given expression [tex](\frac{m^{1/4} }{6m^{3/4} } )^-1[/tex]

=[tex](\frac{6m^{3/4} }{m^{1/4} } )[/tex]

=6 ([tex]m^{3/4-1/4}[/tex])

=6 ([tex]m^{1/2}[/tex])

a = 1/2

Hence the value of an in this expression will be 1/2.

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True, x-1 is a factor of P(x) = 17x¹² + 8x⁵ – 25.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.

Given function

P(x) = 17x¹² + 8x⁵ – 25

P(1) = 0

By the Remainder Theorem,

Dividend = Divisor * Quotient + Remainder

P(x) = (x – 1). Q(x) + P(1)

P(1) = 0

P(x) = (x – 1). Q(x)

Hence, x-1 is a factor of P(x).

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Answer:

Step-by-step explanation:

we have 1.33 cubic yards in 1 cubic meter,
we should find how many cubic meters equals 150 cubic yards.
so for 1.33 =1
          150=x
now , we cross multiply
x=150/1.33
x=112.78 that is the answer