Multiply the fractions. Select the answer that is in simplest form.
1
1
5- X 1 = ?
2
4
OA.
1
5
8
OB
1
6
4
OC.
7
6-
8

an equation to model this situation is 200 = x+ 2 *t and 220 pounds is  his total weight after 30 weeks

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

x  initial weight of John

weight gained 1 week = 2 pounds

no. of weeks = 20=t

Final weight of John = 200 pounds

200 = x+ 2 *t ---------(1)

no. of weeks = 20=t

From eq(1)

x = 160 pounds= intial weight

So,

[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]

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Neglecting the fractional points and taking the whole number values for volume, the probability of getting equivalence point at 100 ml is 1/10. The probability of getting less than 100 ml is 1/2.

The probability is the measurement of the chance of an event to happen. It is determined based on the total possibilities and criteria.

Given that the experiment trials got the values from 95 to 104. From 95 to 104, there are 10 numbers. Thus, the volume of the acid can be any of these 10.

Thus, total possibility = 10.

probability of getting 100 = 1/10

There are 5 volumes which are  less than 100 here,  [95, 99]. Thus, the probability = 5/10 = 1/2.

There are 5 values between 98 and 102 including these two values.

Hence, probability of getting these range  = 5/10 = 1/2.

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Answer:

[tex]speed = \frac{distance}{time} \\ = \frac{3}{( \frac{30}{60} )} \\ = 3 \times 2 \\ = 6 \: miles \: per \: hour[/tex]

Answer:

Lateral Area of a Cylinder = 2πrh

=2π x 3 x 6

=36π

Option D

The total amount of interest you will have to pay is $21,849.92. As a result, choice A is accurate.

Compound monthly is the term used to describe a loan's interest rate, which is added to the principle each month and charged in installments. For instance, a $1,000 loan with a 12% annual interest rate compounded monthly would become $1,010 after the first month if the interest rate was 1%.

Monthly compounding is calculated by multiplying the principal amount by one plus the interest rate by the number of periods, raised to the power of the number of periods. This quantity is subtracted from the principal amount to determine the interest amount.

Thus;

[tex]Interest = 44,500(1 + 0.1311/100)^{6.5} \\= $21,849.92[/tex]

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Answer:

True

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

As the normal distribution is symmetric, we have that [tex]P(z < -A) = P(z > A)[/tex]

For example:

[tex]z = -2[/tex] has a pvalue of 0.0228, which means that [tex]P(z < -2) = 0.0228[/tex]

[tex]z = 2[/tex] has a pvalue of 0.9772, which means that [tex]P(z > 2) = 1 - 0.9772 = 0.0228[/tex]

True or False?

As shown above, this statement is True, due to the symmetry of the normal distribution.

A recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.

Now,

2 Cups of Yellow + 3.5 Cups of blue

Multiply all by 2

=4 Cups of Yellow + 7 Cups of Blue

Hence,  a recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

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Answer:

k = 56 degrees

Step-by-step explanation:

The big triangle is isosceles so the base angles are congruent.  The total angle measure is 180, so the base angles are half of 180 - 56 = 124.  The base angle at the lower right measures 62 degrees.

The inner triangle is also isosceles.  Both its base angles must measure 62 degrees (total = 124, again!).  The remaining angle,  k , measures 180 - 124 = 56.

Answer:

8.20

Step-by-step explanation:

8.20 is greater than 8.002 due to 0.20 being greater than 0.002

The graph also shows two other local maxima, at x=0.5 and x=1.5.

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Answer:

45 degree , bc the ends are all 90 degree so divide 90 by two since the line crosses right in between

Answer:

45°

That looks like an Isosceles triangle so two sides are equal

The angle near O would be 90° cause that looks like an right angle

180-90=90

To find each angle divide by 2

90÷2=45

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Length of shadow  is 35.56 ft.

Given that,

If the sun is 68° above the horizon.

Based on the above information, the calculation is as follows:

tan68° =BC divide AC

tan68° =88 divide b

b =88 divide tan68°

=88 divide 2.475

= 35.56 ft.

Answer:

what?

Step-by-step explanation:

Answer:

$38.90

Step-by-step explanation:

$2.00 per mile x 18 miles is 36.00 then add the 2.90

Answer:

21.8

Step-by-step explanation:

hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.

area of circles are πr^2, so in this situation

π4^2 which is 16π.

with this, the semicircle which is half a circle would give us

16π/2 which is 8π.

but then, we have two semicircles removed so we would have as an answer:

(9*8)-8π+8π

72-16π

then you would have to round so

16π is around 50.2

so 72-50.2 is 21.8

i hope this helped you <33

Answer:

b is a polynomial

Step-by-step explanation:

[tex]f(x) = {x}^{3} - 11 {x}^{2} + {3}^{x} [/tex]

It's a good idea to utilize the 13 cm measurement that Martha used for her scale illustration. This is because it would be simpler to measure the flag's stripes. The American flag has 13 stripes, thus each one is 1 centimeter wide.

Flags can be as big as 20 feet by 38 feet, although most are between 3 feet by 5 feet and 5 feet by 8 feet in size. The standard size for an American flag flown outside a home is 3 x 5.

A flag's rectangular design assures that even a moderate breeze would cause it to move, making it readily apparent to everyone else. Additionally, the shape is efficient in terms of production costs, according to a number of flag designers.

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Answer:

The probability that A occurs given that B occurred is 333/400, that is, 83.25%.

Step-by-step explanation:

Since in an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3, to determine what is the probability that A occurs given that B occurs the following calculation must be performed:

4/5 = 0.8

2/3 = 0.666

0.8 x X = 0.666

X = 0.666 / 0.8

X = 0.8325

0.8325 = 333/400

Therefore, the probability that A occurs given that B occurred is 333/400, that is, 83.25%.

Answer:

80+30h

Step-by-step explanation:

Answer:

You to it right, 18

Step-by-step explanation:

Answer:

27 ft I think

Step-by-step explanation:

The answer is 27

Answer:

you are correct, it is all of the above

Answer:

1357.17 inches³

Step-by-step explanation:

Answer:

Step-by-step explanation:

If this not right I am sorry I got 1357.17 the radius is 9in the height is 16 in

Sorry if I am not right

Answer:

-134/4

Step-by-step explanation:

It equals -33.75.

Answer:

Explanation:

90 × (-3/4) = -135/2

-135/2 × (-3/4) = 405/8

405/8 × (-3/4) = -1215/32

Answer:

Step-by-step explanation:

We first start understanding what is a tree:

A tree can be understood as a graph such that two nodes ( or   vertices )  are connected by at most one path.

So the best definition that fit the above one is d. Note that

In a complete graph we have multiple paths to connected two nodes.  So that a is false. Similarly, b is false. If we have cycles in a graph, that implies more than two paths to connected two nodes. So c is false.

A connected graph with no cycles is used to describe a TREE so option (D) will be correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

A TREE diagram is a graph where any two nodes or more are connected at one node by another segment while another remains open.

Since the TREE diagram is become by the disconnected node at one end it means it is not going to form any cycle.

Hence "A connected graph with no cycles is used to describe a TREE".

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Answer:

30

Step-by-step explanation:

49-31+12= 30

___________

Answer: Congruent by AAS

Step-by-step explanation:

FG and EH are congruent because they are given.

EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.

FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.

Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.

Angle EIH and Angle FIG are congruent because of the vertical angles theorem.

Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.