ANSWER QUICK I WILL GIVE BRAINLIEST
Determine which expression is equivalent to the expression 2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12. 4 over 15 times g plus negative 17 negative 4 over 15 times g plus negative 17 2 over 15 times g plus negative 7 negative 4 over 15 times g plus negative 7

Answers

Answer 1

Answer:

-4/15 - 17

negative 4 over 15 plus negative 17

Step-by-step explanation:

2/3g - 5 - 11/15g - (1/5g +12)

Your wording is extremely confusing but I tried :]

-4/15 - 17

is the correct answer (I think)

:]

Answer 2

The required simplified value of the given expression is -4/15 - 17.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12 is given as

= 2/3g - 5 - 11/15g - (1/5g +12)

Adding the alike terms,
= 2/3g -11/15g -1/5g -5 -12
= [10 - 11 -3] /15 g - 17
= -4g/15 -17

Thus, the required simplified value of the given expression is -4/15 - 17.

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Related Questions

Find sin 8, cot0, and csc0, where 8 is the angle shown in the figure.
Give exact values, not decimal approximations.
Continue
25
0
sin 0
11

cot 8 = 0
CSC8 = 0

Answers

Answer:

sinTheta = 24/25

cotTheta = 7/24

cscTheta = 25/24

Step-by-step explanation:

Use pythagorean thm or pythagorean triples to find the missing side of the triangle.

7^2 + x^2 = 25^2

49 + x^2 = 625

x^2 = 576

x = 24

The third side of the triangle is 24. We'll need this in a sec.

The marked angle is called theta. That 0 with a belt is greek letter theta. They could just call it angleA or angleB or whatever. Its name is just theta no big deal.

25 is the hypotenuse (longest side). The side that's 7 units long is one of the pieces that makes up AngleTheta. So the 7 is "adjacent" to theta. The other leg, 24, is "opposite" from theta.

sinTheta is a ratio. It is OPPOSITE/HYPOTENUSE

sinTheta = 24/25

cotTheta is tanTheta flipped over.

tanTheta is OPP/ADJACENT

so...

cotTheta =

ADJ/OPP

=7/24

Last, cscTheta is sinTheta flipped over.

We already found sinTheta, so flip it over.

cscTheta = 25/24

SOH-CAH-TOA is supposed to help you memorize the ratios for sine (opp/hyp), cos (adj/hyp), and tan (opp/adj).

The math word for "flipped over" is reciprocal.

csc is the reciprocal of sin

sec is the reciprocal of cos.

cot is the reciprocal of tan.

Good luck! Hope this helps!


Bricklayers use the formula n = 7th to estimate the number n
of bricks needed to build a wall of length and height h, where and hare in
feet. Solve the formula for h. Estimate the height of a wall 28 ft long that requires
1568 bricks.

(Round to the nearest tenth if necessary)

Answers

Answer: the answer is ..

Step-by-step explanation: fec r/sm mkdnjervc

Translate this sentence into an equation.
The difference of Janelle's height and 9 is 65
Use the variable j to represent Janelle's height.

Answers

Step-by-step explanation:

Translate this sentence into an equation. The difference of Janelle's height and 9 is 65. Use the variable j to represent Janelle's height.

j - 9 = 65

to solve:

j - 9 = 65

add 9 to both sides:

j - 9 + 9 = 65 + 9

j = 74

Which expressions are equivalent to ✓-27?
3i√3
91√√/3
O √27i
O i√27
3√/91²

Answers

The expression for [tex]\sqrt{-27}[/tex] is 3i[tex]\sqrt{3}[/tex]

What is an expression?

Expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

given [tex]\sqrt{-27}[/tex] we know that

3 multiplied by 9 gives 27 and the square root of 9 is 3

we can write

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

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

square root of minus gives iota

we get,

[tex]3i\sqrt{3}[/tex]

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Evaluate. Write your answer as a whole number or as a simplified fraction.

Answers

Answer:

121

Step-by-step explanation:

11^6/11^4

= 11^(6-4)

= 11^2

= 121

Write an equation that passes through the given points and is perpendicular to the line , (-3,1); y=-5x+2, write it in slope-intercept form pls.

Answers

The equation of the line that passes through point (-3,1) and perpendicular to y=-5x+2 is y = (1/5)x + 8/5.

What is the equation of line that passes through the given points and is perpendicular to the given line?

Given the data in the question;

Equation of line: y = -5x + 2Point: (-3,1)

First we determine the slope of the initial line using the slope intercept-form. y = mx + b

y = -5x + 2

Compared with the slope intercept form,

Slope m = -5

Now, for the equation of line perpendicular to the initial line, its slope must be a negative reciprocal of the initial slope.

Hence, slope of the perpendicular line is;

Slope m = -1/(-5) = 1/5

To find the equation of the perpendicular line, we use the point slope formula.

y - y₁ = m( x - x₁ )

Plug in the slope m ( 1/5) and point (-3,1).

y - 1 = (1/5)( x - (-3) )

y - 1 = (1/5)( x + 3 )

Convert to slope-intercept form.

y - 1 = (1/5)( x + 3 )

y - 1 = x/5 + 3/5

y = x/5 + 3/5 + 1

y = x/5 + 3/5 + 1

y = x/5 + 8/5

y = (1/5)x + 8/5

Therefore, the equation of the perpendicular line is y = (1/5)x + 8/5.

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HELP PLEASE!!A(5,1), B(7,1), C(7,6), D(5,6) What is the perimeter of rectangle ABCD?

Answers

[tex]\begin{gathered} \text{The distance betw}ee\text{n the AB is } \\ d_1=\sqrt[]{(1-1)^2+(7-5)^2} \\ d_1=2 \\ \text{Now, the distance betw}en\text{ the C and D,} \\ d_2=\sqrt[]{(6-6)^2+(5-7)^2} \\ d_2=2 \\ \text{The perimeter o the rectangle is,} \\ P=2(d_1+d_2) \\ P=2(2+2) \\ P=8\text{ unit} \end{gathered}[/tex]

trucks in a delivery fleet travel a mean of 80 miles per day with a standard deviation of 26 miles per day. the mileage per day is distributed normally. find the probability that a truck drives at least 113 miles in a day. round your answer to four decimal places.

Answers

Answer:

0.1037

Step-by-step explanation:

y=x+2 find the coordinates of the x and y intercept

Answers

All the points are P1=(0, 2), P2= (1,3), P3(2,4), P4(3,5 ), and P5(4,6).

y=x+2 is obtained function through the equation y-x=2.

Consider the value of X=0 for P1.

Y= 0+2

Y=2

If X=0, then Y=2.

∴ (0, 2)

Consider the value of X=1 for P2.

Y=1+2

Y=3

If X=1, then Y=3

∴ (1,3)

Consider the value of X=2for P3.

Y=2+2

Y=4

If X=2, then Y=4

∴ (2,4)

Consider the value of X=3for P4.

Y=3+2

Y=5

If X=3, then Y=5.

∴ (3,5 )

Consider the value of X=4 for P5.

Y=4+2

Y=6

If X=4, then Y=6.

∴ (4,6)

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Find the points on the graph of[tex]x^{2/3}[/tex] + [tex]y^{2/3}[/tex] = 1 where the tangent line has slope 1

Answers

Any point satisfying the relation y = -[1 - (∛x²)]²(1/(∛x)) will be points on the graph where the tangent line has slope 1.

What is the slope of a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is the slope of a line is represented by the expression m = change in y/change in x =Δy/Δx.
Additionally, the slope of the line can be shown as tan θ = Δy/Δx
So, the slope of a line is tan θ.

The given equation is: (∛x²) + (∛y²) = 1
Therefore, (∛y²) = 1 - (∛x²) ⇒ y² = [1 - (∛x²)]³
Differentiating the equation formed with respect to x, we get
2y(dy/dx) = 3[1 - (∛x²)]²(-2/3)(1/(∛x)) ⇒ dy/dx = (-1/y)[1 - (∛x²)]²(1/(∛x)) -(i)
Given, the slope of the tangent line is = 1 -(ii)
Thus, equating (i) and (ii), we get,
(-1/y)[1 - (∛x²)]²(1/(∛x)) = 1 ⇒ y = -[1 - (∛x²)]²(1/(∛x))
Therefore any point satisfying the relation y = -[1 - (∛x²)]²(1/(∛x)) will be points on the graph where the tangent line has slope 1.

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A $40 phone case is taxed with
an 8% sales tax. How much tax will be
paid?

Answers

Answer: $3.20 is the sales tax

Step-by-step explanation:

[tex]\frac{8x40}{100} =3.2[/tex] (8 times 40 divided by 100)

please mark brainliest if this helped :)

Which point is a solution to the system of linear equations?

y = −x + 3
2x − y = 6

(3, 0)
(3, −1)
(0, 3)
(−1, 3)

Answers

The ordered pair which is a solution to the system of linear equations is: A. (3, 0).

How to determine the solution?

In order to determine a solution to the system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (3, 0), we have:

y = −x + 3

0 = -3 + 3

0 = 0 (True).

2x − y = 6

2(3) - 0 = 6

6 - 0 = 6

6 = 6 (True).

For ordered pair (3, -1), we have:

y = −x + 3

-1 = -3 + 3

-1 = 0 (False).

For ordered pair (0, 3), we have:

y = −x + 3

3 = 0 + 3

3 = 3 (True).

2x − y = 6

2(0) - 3 = 6

0 - 3 = 6

-3 = 6 (False).

For ordered pair (-1, 3), we have:

y = −x + 3

3 = -1 + 3

3 = 2 (False).

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(2t + 5x 3) + (-9t - 4x + 7)

Answers

[tex]=2t+5x+3-9t-4x+7\\=2t-9t+5x-4x+3+7\\=-7t+x+10[/tex]

Be aware I used the plus sign for 3 since you DID NOT insert the sign. For Future purposes Be careful.

Answer: -7t+x+10 (if the 3 in your equation is positive)

Step-by-step explanation: Add all like variables and integers.


45. Maury bought concert tickets at the Ticket Outlet. He paid $12 for each
ticket, plus a $5 service charge for the whole set of tickets. The total cost
was $77. How many tickets did he buy? 3-11

Answers

Using mathematical operations, Maury bought 6 tickets at the Ticket Outlet if he paid $77 at $12 each.

What are the mathematical operations?

The basic mathematical operations are addition, subtraction, multiplication, and division.

These basic operations are used to manipulate numbers and variables in mathematical expressions to produce mathematical results.

The first mathematical operation used here is the subtraction operation.  

After subtracting the fixed cost from the total cost, the difference is the total variable cost.

This difference is then divided by the unit variable cost to get the number of tickets.

The unit cost of the ticket = $12

The service charge (fixed cost) = $5

The total cost = $77

The number of tickets bought = 6 ($77 - $5)/$12

Thus, using mathematical operations, Maury did buy 6 tickets for $77.

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HELP PLEASE <3: quadratic functions, (image contains question)
not too hard I'm just bad at math-
THANK YOU :)

Answers

Answer:

f(x)=(x-4)^2-4

The parent function (x^2) is shifted to the right 4 times (x-4) and down 4 times (-4).

If f(x) = –2x+4 Evaluate the function when x= -3. f(-3) = ?

Answers

Answer:

f(-3)=10

Explanation:

Given the function:

[tex]f\mleft(x\mright)=-2x+4[/tex]

When x = -3

[tex]\begin{gathered} f(-3)=-2(-3)+4 \\ =6+4 \\ =10 \end{gathered}[/tex]

uppose p ( t ) p(t) represents the population of a certain mosquito colony, where t t is measured in days. the current population of the colony is known to be 578 578 mosquitos; that is, p ( 0 )

Answers

The size of the population of mosquito follows an exponential model.

the size of the population in 10 days is 1370

The size of the population in 10 days is 1370

The given parameters are:

p(0) = 574

p'(0)= 50

An exponential function is represented as:

p(t) =p(0) * e^ rt

So, we have:

p(t)=574*e^rt

Differentiate

p'(t)=574*r*e^rt

Substitute 0 for t

50=574 r

Divide both sides by 574

r=0.087

The function becomes

p(t)= 574*e^rt

   = 574*e^0.087 t

In 10 days, t = 10.

So, we have:

p(10)=574*e^0.87

Solve

p(0)=1370

Hence, the size of the population in 10 days is 1370

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DOES ANYONE KNOW THE ANSWERSSSS

65 pt

Answers

Answer:

3.75 cups of flour

2.5 cups of sugar

1.25 cups of butter

Step-by-step explanation:

Hello!

Let the amount of sugar used be x:

Flour = 1.5xButter = 0.5x

The total sum of ingredients should be 7.5 cups, so we can add x, 1.5x, and 0.5x and set it to 7.5.

Solve for xx + 0.5x + 1.5x = 7.53x = 7.5x = 2.5

Clifford needs 2.5 cups of sugar.

The amount of flour can be found by multiplying 2.5 by 1.5: 3.75 cups

The amount of butter can be found by multiplying 2.5 by 0.5: 1.25

Clifford needs 3.75 cups of flour, 2.5 cups of sugar, and 1.25 cups of butter.

3 3/4 cups of flour
2 1/2 of sugar
1 1/4 of butter

Create three probability application problems of your own. Solve your problems. Explain your answers.

Answers

The required problems on probability application are detailed below.

Probability is the study of chance represented as a proper fraction between 0 and 1 .  

The manufacturing process of a particular rugby ball consists of two parts, a leather covering and a rubber bladder. The probabilities of defect in the leather covering is 5% and the probability of the rubber bladder is 15% respectively. What is the probability that the assembled Rugby ball will not have any defect.

Let A and B denote the event that  a rugby ball is defective due to defects in the leather covering and the rubber bladder respectively.

Then we can say that  P(A) = 5 / 100 = 1 / 20  and

P(B) = 15 / 100 = 3 / 20

Therefore  P(A') = 1 - 1/20 = 19/20 and P(B') = 1 - 3 / 20 = 17 / 20.

P(A') and  P(B') gives us the probabilities that the rugby ball will not have defective parts respectively.

Therefore the probability that the assembled product will not have any defect is:

P(A') ×  P(B')

[tex]=\frac{19}{20} \times \frac{17}{20}\\\\=\frac{323}{400} \\\\=0.8075[/tex]

Therefore the probability that the rugby ball will not have any defect is 80.75% .

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Simplify m^9 m^−3.
A. -m^12
B. 1 / m^27
C. 1 / m^6

D. m^6

Answers

I will use the law of exponent below

⇒if you re multiplying powers of them same base, keep  one base and add the exponents mathematically we say:

[tex]x^{n} *x^{n} \\=x^{n+n}[/tex]

[tex]=m^{9+(-3)} \\=m^{9-3} \\=m^{6}[/tex]

OPTION D is the solution

The listed price of the pair of pants was $38, but the price with tax came to $39.14. Find the percent sales tax.

Answers

well, the difference is 39.14 - 38 = 1.14, so that's the tax.

if we take 38 to be the 100%, just the listed price alone, what is 1.14 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 38 & 100\\ 1.14& x \end{array} \implies \cfrac{38}{1.14}~~=~~\cfrac{100}{x} \implies 38x=114\implies x=\cfrac{114}{38}\implies x=3[/tex]

It took Elsa 18 minutes to make 3 bookmarks.

Which of the following pairs of equivalent fractions could be used to determine how many bookmarks she can make in 90 minutes?


Answers

Hope this answer helps:

Elsa took time to make 3 bookmarks=18 minutes

Time Elsa took for one minute= 18/3
=6

Total bookmarks mad by Elsa in 90 minutes=90/6
=15 bookmarks
The pair of equivalent fractions would be option A.) “3/18 = b/90.”

The fraction 3/18 shows 3 bookmarks were made in 18 minutes. With this proportion, we can set up an equivalent fraction to find the number of bookmarks made in 90 minutes:

3/18 = b/90,

where 90 represents the time it took in minutes and b represents how many bookmarks were made.

We can divide 18 and 3 by 3 separately to identify the unit rate:

18 / 3 = 6

3 / 3 = 1

When solving, we get 1/6 as our unit rate. Because the relationship is proportional, we know that 1/6 must equal b/90.

1/6 = b/90

1 • 90 = 90

6 • ? = 90

90 / 6 = 15

b = 15

Answer Recap: Option A is correct. If needed, b = 15.

18.75 = u/3 solve for u please

Answers

Answer: 56.25 = u

Step-by-step explanation:

1) Multiply 3 on both sides to leave u by itself

18.75 = u/3

18.75*3 = u

56.25 = u

Answer: U = 56.25

Explanation:

Write the relation as a set of ordered pairs. a. ordered pairs: {(–1, 1), (2, 0), (3, 1)} b. ordered pairs: {(–1, 1), (0, 2), (1, 3)} c. ordered pairs: {(1, –1), (0, 2), (1, 3)} d. ordered pairs: {(1, –1), (2, 0), (3, 1)} Please select the best answer from the choices provided A B C D

Answers

Answer:

a) (in order) {-1, 0, 1, 2, 3}
b) {-1, 0, 1, 2, 3}

Step-by-step explanation:

Which sequence exhibits the similarity between rectangles ABCD which A’B’C’D’ shown in the coordinates plane below

Answers

The sequence of transformation that exhibits the similarity between the rectangles ABCD and rectangle A'B'C'D' is the option C.

C. Rectangle ABCD is reflected across the y-axis and then dilated by a scale factor of 2 with the center of dilation at the origin to obtain rectangle A'B'C'D'

What is a reflection transformation in geometry?

A reflection transformation of an object gives or produces the mirror image of the object about a specified line.

The coordinates of the points of the rectangle ABCD obtained from the graph are; A(-4, -4), B(-4, 4), C(2, 4), and D(2, -4).

The coordinates of the image of the rectangle ABCD (rectangle (A'B'C'D') are; A'(8, -8), B'(8, 8), C'(-4, 8) and D'(-4, -8)

The coordinates of the reflection of the point (x, y), following a reflection across the y-axis is the point (-x, y)

The vertices of the image of rectangle ABCD formed following a reflection across the x-axis are therefore;

A(-4, -4)  [tex]\underrightarrow{R_{x-axis}}[/tex] A''(4, -4)

B(-4, 4)  [tex]\underrightarrow{R_{x-axis}}[/tex] B''(4, 4)

C(2, 4)  [tex]\underrightarrow{R_{x-axis}}[/tex] C''(-2, 4)

D(2, -4) [tex]\underrightarrow{R_{x-axis}}[/tex] D''(-2, -4)

The coordinates of the point (x, y) following a dilation by a scale factor of k, with the center of dilation at the origin is (k·x, k·y)

The dilation of the image of the rectangle ABCD by a scale factor of 2 gives;

A''(4, -4)  [tex]\underrightarrow{D_{2}}[/tex] (2×4, 2×(-4)) = A'(8, -8)

B''(4, 4)  [tex]\underrightarrow{D_{2}}[/tex] (2×4, 2×(4)) = B'(8, 8)

C''(-2, 4)  [tex]\underrightarrow{D_{2}}[/tex] (2×(-2), 2×(4)) = C'(-4, 8)

D''(-2, -4)  [tex]\underrightarrow{D_{2}}[/tex] (2×(-2), 2×(-4)) = D'(-4, -8)

The points of the image of rectangle ABCD following a a reflection and a dilation are A'(8, -8), B'(8, 8), C'(-4, 8) and D'(-4, -8), which are the same as the coordinates of the points of the given rectangle A'B'C'D'

The correct option is therefore option C;

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Pot the points (4, 4), (8, 4), (3, 1), and (7, 1) on the coordinate plane.Use the points to draw two parallel, horizontal segments. Label theendpoints of one segment A and B. Label the endpoints of the othersegment C and D What is the distance between points A and B?What is the distance between points C and D

Answers

Solution

The diagram below shows what is needed

As shown above

distance between points A and B is

[tex]4[/tex]

distance between points C and D is

[tex]4[/tex]

i need the right answers please help

Answers

Answer:

To what please

Step-by-step explanation:

I am here to help you so please send your questions

9th grade math helppp

Answers

Answer:

b

Step-by-step explanation:

I need help please. Find the distance between Points U and Q.

Answers

Answer:

1 unit

Step-by-step explanation:

- 1 1/2 - (- 2 1/2)

= 1 unit

63= 4w + 15 solve for w and simplify your anwser as much as possible.

Answers

Answer:

w is 59

Step-by-step explanation:

63-4 =59 and this should be the answer your looking for

Answer:

w=12

Step-by-step explanation:

63+4w+15

collect like terms

63-15=4w

48=4w (divide all through by 4)

w=12

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boiling an egg physcal or chemcal When using a direct quote from a source in an essay, an ellipsis may be used toA: eliminate unnecessary information without changing the meaning of the sentence B: leave the reader with a feeling of suspense about what is to come C: remind the writer to go back and fill on missing details D: show the reader that the source is valid and credible Yani is speaking to an elementary school class on the importance of good nutrition. Without getting into the breakdown of macronutrients and what theydo, how might Yani BEST advise these children to have a balanced diet?OA. Stick to meat and dairy only, cutting out carbs.O B.Don't ever eat candy, cake, or other junk food.O c.Try to have many different colors of foods.OD.Stick with raw foods instead of cooked ones. Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:Number of years 1 2 3Option 1 (amount in dollars) 1100 1210 1331Option 2 (amount in dollars) 1100 1200 1300Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points)Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points)Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option. (4 points) What is the evidence of climate change do to sea level rising? when you have an essay due in an upcoming course. how will you manage time to ensure you are able to complete all 5 steps of the writing process? EASY QUESTION 15 POINTS!!!A chthonic goddess would be MOST likely to rule over what concept?Group of answer choicesdarknessbirdsriversthe stars until the 1960s, were the only mental health experts recognized in many courts. group of answer choices clergy social workers psychologists psychiatrists as the human population has increased, the result on natural capital has been . group of answer choices increasing biodiversity decrease in waste production increasing the use of net primary production by humans increasing available renewable resources. increasing natural predators The Big Dipper is an example of an observed pattern of stars called a ___________. A local high school runs a game at a fundraising event. In this game, marbles are randomly picked froma bag. The bag contains 5 red marbles, 4 blue marbles, and 1 green marble. If a green marble is drawn, you win $10. If the blue marble is drawn, you win $2, and if you draw a red marble you win nothing. The game costs $3 to play. Find the expected value of playing. Which of the following team members would not be involved in transporting goods directly to customers? Red letters and blue letters are used in a game. Some of the letters are X. All the other letters are Y. X Y X Y The ratio of the number of red letters to the number of blue letters is 2:5 The ratio of the number of red Xs to the number of red Ys is 1: 3 The ratio of the number of blue Xs to the number of blue Ys is 3:1 Work out what fraction of all the letters are Xs. What is the area shaded sector to the nearest 10th of the square centimeter? How many syllables does afternoon have?? During a family trip, you share the driving with your dad. At most, you are allowed to drive for three hours. While driving, your maximum speed is 55 miles per hour. a) Write a system of inequalities describing the possible numbers of hours, t, and the distance, d, you may have to drive. The cost of 5 gallons of ice cream has a variance of 64 with a mean of 34 dollars during the summer.What is the probability that the sample mean would differ from the true mean by less than 1.1 dollars if a sample of 38 5-gallon pails is randomly selected? Round your answer to four decimal places. Need help asap please It is said that the Africa and the New World are bridged from the bones of the Atlantic slave trade. How does this illustration support that notion? Bonobos are distinct from chimpanzees in what way(s)?O Regularly walk on two legs with ease.O Alpha females and their sons rule the group.O They use sex as a way to diffuse aggression and tension within the group.O All of the above.