In the figure below, m Z1=(x+88)° and m2=3x°.
Find the angle measures.
J
1
2
m21=
m42=

Cheyenne can buy a maximum of 13 bags of Takis.

We have,

To find the maximum number of bags of Takis Cheyenne can buy with $20, we need to divide the total amount of money she has by the cost per bag of Takis.

Cost per bag of Takis = $1.50

Total money Cheyenne has = $20

Maximum number of bags of Takis = Total money / Cost per bag

Maximum number of bags of Takis = $20 / $1.50

Maximum number of bags of Takis = 13.33

Since Cheyenne cannot buy a fraction of a bag, the maximum number of bags of Takis she can buy is 13.

Thus,

Cheyenne can buy a maximum of 13 bags of Takis.

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Answer:

Factors: 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530

Prime Factors of 1530 : 2 * 3 * 3 * 5 * 17

The equation of the parabola that models the given situation is y = [tex]\frac{-1}{6}(x-3)^{2}[/tex] + 1.5.

A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.

To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by  y = [tex]a(x-h)^{2}[/tex]+ k or x = [tex]a(y-k)^2[/tex] +h, where (h,k) denotes the vertex. A regular parabola's standard equation is [tex]y^2[/tex] = 4ax.

Now, the equation of parabola for the given situation is calculated as:

y = [tex]a(x-3)^2[/tex]+ 1.5

Now, put the value of x = 0 and y = 0.

0 = [tex]a(0-3)^2[/tex]+ 1.5

0 = 9a + 1.5

-9a = 1.5

a = - 1.5/9

a = -1/6

Now, put the value of a in equation y = [tex]a(x-3)^2[/tex]+ 1.5 to obtain:

y = [tex]\frac{-1}{6}(x-3)^{2}[/tex] + 1.5.

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The rule for the function g(x) is:

g(x) = 1.15*(x^2 - 3x -16)

First we know that the function f(x) is f(x) = x^2 - 7x

And we know that h(x) is a translation of 6 units down and 2 units to the left of f(x), then:

h(x) = f(x + 2) - 6

Now we know that g(x) is 115% of h(x), then we can write:

g(x) = 1.15*h(x)

Replacing h(x) by the rule above we get:

g(x) = 1.15*(f(x + 2) - 6)

Replacing the actual function there:

g(x) = 1.15*( (x + 2)^2 - 7*(x + 2) - 6)

g(x) = 1.15*( x^2 + 4x + 4 - 7x - 14 - 6)

g(x) = 1.15*(x^2 - 3x -16)

This is the rule for function g(x).

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Answer:

0.69

Step-by-step explanation:

The 8 is in the hundredths place.

0.687 becomes 0.680, but since the leftmost digit dropped is a 7, the 8 goes up 1 to 9.

Answer: 0.69

Answer:

0.69

Step-by-step explanation:

If the American Heart Association suggests a target heart rate of T=0.75(220-a),  Proving  that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.

a. Given:

T=0.75(220-a)

where

T =a person's target heart rate

a= his or her age

Prove:

Hence:

T=0.75(220-a)

T/0.75=220-a

T/0.75-220=a

-T/0.75+220=a

a=-T/0.75+220

a=220-T/0.75

b. How old is she:

a=220-T/0.75

where:

T=153

Substitution

a=220-153/0.75

a=220-204

a=16 years

Therefore proving  that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.

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The complete question is:

Mai-Lin measures her heart rate whenever she exercises and tries to make sure that she is staying in her target heart rate zone. The American Heart Association suggests a target heart rate of T=0.75(220-a), where T is a person's target heart rate and a is his or her age.

a. Prove that given a person's target heart rate, you can calculate his or her age using the formula a=220- T/0.75.

b. If Mai-Lin’s target heart rate is 153, then how old is she? What property justifies your calculation?

The value of angle m< EBF  is determined as 56⁰.

The sum of angles in a straight line is 180 degrees. The value of angle EBF can be determine using the concept of sum of angles in a straight line as shown below.

m< EBC  + m< ABE = 180

3y + 10 + 2y - 20 = 180

5y - 10 = 180

5y = 180 + 10

5y = 190

y = 190/5

y = 38

The value of m< EBF is calculated as follows;

Assuming equal division, m< EBF = m< ABE

m< EBF = 2y - 20

m< EBF = 2(38) - 20

m< EBF = 56⁰

Thus, the value of angle m< EBF  is determined as 56⁰.

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Answer:

Step-by-step explanation:

c=12+5t?

Answer:

All of the options.

Step-by-step explanation:

We first subtract 8 from both sides. We now divide both sides by -1. However, something to keep in mind, is when you multiply/divide by a negative number, you just flip the sign. In this case, we need to divide both sides of the equation by -1, to get b and our answer. So now, we need to find an answer from our answer choices that is smaller than -19. I think all of them would be right in this case, as they fit the equation. So all of them should be right (: As if you plug in the values, you get answers that could be solutions to the equation!

I hope this helps, have a blessed day!

Answer:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage.A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

Step-by-step explanation:

The expression is x+2-2y

It is given to us that logp5=x and logp7=y

Now we are required to find logp(5p^2)/49 in terms of x and y

we know that in logarithmic formulas

loga^b=b loga

logab = log a+log b

log a/b= log a- log b

Now using these formulas to find the solution,

logp 5p^2/49

= logp5+ logp p^2 -log 49

=logp5+2 logpp-2log7

we know that logpp=1,hence

= logp5+2 -2 logp7

=x+2-2y

Hence the expression is x+2-2y

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Answer:

$227 = washing machine cost

$391 = dryer cost

Step-by-step explanation:

$618 divided by 2 = 309

309 - 82 = 227 = cost of washing machine

618 - 227 = 391 = cost of dryer

You can double-check by,

391 + 227

= 618

$227 = washing machine cost

$391 = dryer cost

Answer:

>

Step-by-step explanation:

2 of course greater than quarter

Answer:

Step-by-step explanation:

goo ba i think its gobba

Answer: 4,800,000 mg

32,000 dg

Step-by-step explanation:

1 kg=1000 g

1 g=1000 mg

1 kg * 1000 g/1 kg * 1000 mg/1 g=

1*1000*1000=1,000,000 mg

1 kg=1,000,000 mg

4.8 kg=

4.8*1000000=4,800,000 mg

1 g=10 dg

3.2 kg =

3.2 kg * 1000 g/1 kg * 10 dg/1 g=

3.2*1000*10=

3.2*10,000=32,000 dg

The probability that the game will be won before the fourth turn is [tex]\frac{91}{216}[/tex].

Probability refers to the possibility of the occurrence of an event.

P(E) = probability of occurrence of an event E = [tex]\frac{Number Of Favourable Outcomes}{Total Number Of Outcomes}[/tex]

Now,

Probability of winning the game in first turn = [tex]\frac{1}{3}\frac{1}{2}=\frac{1}{6}[/tex]

Probability of losing the first game but winning the second one = [tex]\frac{5}{6}\frac{1}{6} = \frac{5}{36}[/tex]

Probability of losing the first two games but winning the third one = [tex]\frac{5}{6}(\frac{5}{6})\frac{1}{6} = \frac{25}{216}[/tex]

Thus, the probability of winning the game before fourth turn = [tex]\frac{1}{6}+\frac{5}{36}+\frac{25}{216}=\frac{91}{216}[/tex]

Hence, The probability that the game will be won before the fourth turn is [tex]\frac{91}{216}[/tex].

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Answer:14 zebras 22 orangutans

Step-by-step explanation: 14x4=56 22x2=44 56+44=100

Answer:

it is either -8,4 or -4,4

Step-by-step explanation:

i think this is it

Answer:

FALSE

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

0.75 has a finite number of digits and can be expressed in a fraction of integers.

0.75=75/100

75/100=3/4

The subtraction sentence where the difference is positive which uses a positive and negative integer are written as  5 - (-3) =8.

Integers are all real , rational numbers except the decimals and fractions. There are 3 types of integers : positive negative and zero integers.

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

There are two cases;

Case 1;

when modulus of positive integer ≥ modulus of negative integer;

Example; 5 - (-3) = 5 + 3 = 8  (Here, |5| > |-3|)

Case 2;

when modulus of positive integer ≤ modulus of negative integer;

Example; 5 - (-10) = 5 + 10 = 15  (Here, |5| < |-10|)

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Edna has visited 44 countries.

For given question,

Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent.

Here each continent  has 11 countries.

She visited 4 different continents.

So, the total number of countries she has visited would be given by an expression,

11 × 4

We solve above expression to  determine how many countries Edna has visited.

11 × 4 = 44

Therefore, approximately 44 countries Edna has visited.

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Answer: 17. Domain: x is all real numbers

Range: y>=0

18. r=2

Step-by-step explanation:

17. f(x)=|x-2|

|x-2|>=0

x-2>=0

x>=2

x-2=<0

x=<2

x can be less than, equal to, or greater than 2. Hence,

Domain: x is all real numbers

|x-2|>=0 ==> f(x)>=0

Hence, the range is:

Range: y>=0

18. m=(y2-y1)/(x2-x1)

2=(9-3)/(5-r)

2=6/(5-r)

2(5-r)=6

5-r=3

r=2

In am writing this because the app says the answer is to short :)))

Answer:

In slope-intercept form:

[tex]y = - \frac{2}{3} x + 4[/tex]

The graph of the inequality y > x + 4 matches the description in Option(c)

a shaded region above a dashed boundary line.

Given function: y > x + 4

Let's plot the graph of the given function and then match it with the options to see which is the solution.

So we will Plot y = x + 4 (as a dashed line because y > )

the coordinates will be,

x = 0 , y = 4

x = -1 , y = 3

x = -2 , y = 2

x =  1 , y = 5

x = 2 , y = 6

The purple shaded region satisfies the inequality y > x + 4.

Hence the graph description is a shaded region above a dashed boundary line.

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The complete question is: "Which description matches the graph of the inequality y > x + 4?

a) a shaded region above a solid boundary line

b) a shaded region below a solid boundary line

c) a shaded region above a dashed boundary line

d) a shaded region below a dashed boundary line."

Total number of students in a class is 50.

A class has 40% of women.

Total Number of women in a class = 20                              equation 1

Let total number of students in a class = x

According to the question a class has 40% of women. Mathematically we can write it as,

Total Number of women in a class = 40 % of x

Total Number of women in a class = ( (40x) / 100 )               equation 2

On equating equation 1 and equation 2, we get

20 = ( (40x) / 100 )

⇒ 40x = 2000

⇒ x = 50

Total number of students in a class is 50.

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Answer: [tex]|x| \leq 5[/tex] (the last option)

Step-by-step explanation: When you plug in values from the given solution set, the number is positive because of the absolute value symbol. This causes the range of possible values to be from 0 to 5, which are all less than or equal to 5.

THIS IS EASY?? OH HELL NO-

Answer:

Step-by-step explanation:

0

Option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.

We are given that:

Jeffrey has 8 worms

The 4 worms in it has the length of 3 inches.

The expression would become:

Length = 4 × 3

Also, we are given that the rest 4 worms are of equal length.

Let that equal length be x

The expression becomes:

Length = 4 × x = 4 x

Also, we are given that the total length of the worms = 32 inches.

The equation becomes:

32 = 3 × 4 + 4 × x

4 ( x + 3 ) = 32

Therefore, option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.

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Answer:

5555555555555555555555555555

The quotient of an expression of signs decimal numbers is positive:

= 0.16.

The correct option is B.

There is one key notion when dividing any negative integer by another: the negative signs cancel out. This is unique to this situation. A positive number divided by such a negative number equals a negative number. As a result, you can't divide any two numbers as well as expect a positive result. In general, negative and positive numbers behave differently.

For

a. 2.5 / -9.56

dividing the numbers we get:

= -0.26

For

b. -1.7 / -10.06

dividing the numbers we get:

= 0.16

For

c. -0.3 / 9.44

dividing the numbers we get:

= -0.03

For

d. -9.34 / 0.55

dividing the numbers we get:

= -16.98

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I understand that the question you are looking for is:

Which expression of signed decimal numbers has a positive quotient?

a. 2.5 / -9.56

b. -1.7 / -10.06

c. -0.3 / 9.44

d. -9.34 / 0.55

Answer: 25 ft per min.

Step-by-step explanation:

Time= 100 min.

Distance= 2500 ft.

Speed= 2500/100 = 25 ft per min.