Evaluate the expression: –(31 + 2) + 72 – (–5)2.



A. –40
B. 41
C. –5
D. –9

The sum of 4 yards 2 feet 8 inches, 3 feet 11 inches and 6 yards 6 feet and 6 inches is 11 yards and 1 foot or 11 1/3 yards and 7 inches, using standard conversions between inches, feet, and yards.

To solve this problem, we first need to recall the relationships between inches, feet, and yards. There are 12 inches in a foot, and 3 feet in a yard.

Starting with the yards, you have 4 yards plus 6 yards giving you a total of 10 yards. Moving on to feet, you have 2 feet from the first measurement, and 6 feet from the third measurement. Also, remember to convert the 3 feet in the second measurement into 1 yard and add it to your yards total, which makes 11 yards and leaves you with no feet. For inches, add 8 inches from the first measurement and 11 inches from the second measurement for a total of 19 inches.

Then, convert these measurements to the highest unit possible. Your 19 inches equals 1 foot and 7 inches. Add this foot to your feet total and you have 1 feet and 11 yards. Finally, convert feet to yards: 1 foot is 1/3 of a yard, so you finish with a total of 11 1/3 yards and 7 inches.

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The number that divided by 70 results in a quotient of 5 with a remainder of 14 is 364. This can be calculated using the division algorithm formula 'Dividend = Divisor* Quotient + Remainder'.

The division mentioned in the question can be represented using the division algorithm formula:  Dividend = Divisor* Quotient + Remainder.

In your problem, the divisor is 70, the quotient is 5, and the remainder is 14. To find the dividend (which is the number you are trying to find), you simply substitute these values into the formula:

Dividend = 70*5 + 14

So, Dividend = 350 + 14 = 364.

Therefore, the number that when divided by 70, gives a quotient of 5 with the remainder of 14 is 364.

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Answer:

He can feed 5 people

Step-by-step explanation:

divide pizzas in the number of people to how much people will eat.

divide 5 by invisible number, x. getting the answer of 5/6

x=6

Answer:6

Step-by-step explanation:

We have two triangles with base 9ft and height 12.3ft and two triangles with base 11ft and height 11.9ft.

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{1}{2}bh[/tex]

Triangle #1:

b = 9ft and h = 12.3ft. Substitute:

[tex]A_1=\dfrac{1}{2}(9)(12.3)=55.35ft^2[/tex]

Triangle #2:

b = 11ft and h = 11.9ft. Substitute:

[tex]A_2=\dfrac{1}{2}(11)(11.9)=65.45ft^2[/tex]

The Lateral Area:

[tex]L.A.=2A_1+2_A2\\\\L.A.=2(55.35)+2(65.45)=241.6\ ft^2[/tex]

Answer: B

Step-by-step explanation:

The point here, on calculating the Lateral Area of a Pyramid is searching for Congruent Triangles. In a rectangular pyramid, we have four triangles, in the Lateral Area.

The basic formula for calculating the Area of any triangle is:

Δ[tex]=\frac{1}{2}*base*height[/tex]

So, let's plug it in the values for the 1st triangle:

Δ[tex]\frac{1}{2}* 11*11.9[/tex]

Δarea=[tex]65.45 ft^{2}[/tex]

For the second triangle (on the left):

Δ=[tex]\frac{1}{2}*9*12.3=\\ 55.35 ft²[/tex]

The base is a rectangle, this assures us the base of the other faces is also 9 ft and 11 ft.

So we can assume the other Triangle are congruent to Triangle 1 and 2.

The Lateral Area is the sum of all Pyramid's Triangles area:

55.35+55.35+65.45+65.45=241.6 ft²

Answer:

2500 children and 625 adults could have attended on this day.

Step-by-step explanation:

5000 divided by 2 is 2500, so 5000 - 2500 = 2500

2500 divided by 4 is 625.

--Emilie Xx

The two equation which are required to know the number of children and student attended the fair are a+c=1600 and 4a+2c=5000. Option 2 and 4 are correct.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let c is the number of children attended the fair and a is the number of adults attended the fair. The total number of people attended the fair is 1600. Thus,

a+c=1600

The fee of admission at a county fair is $2 for children and $4 dollars for adults and total $5000 is collected. Thus,

4a+2c=5000

Hence, the two equation which are required to know the number of children and student attended the fair are a+c=1600 and 4a+2c=5000. Option 2 and 4 are correct.

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The area of the school banner is approximately 5 times larger than the sign. Area was calculated by multiplying length by width for each, then the ratio was found by dividing the banner area by the sign area.

The subject of this question is mathematics, mostly involving geometrical comparison and proportions between squares. First, you would need to calculate the area of both the banner and the sign. The area of a rectangle is calculated by multiplying its length by its width, so the areas would be 40 inches x 24 inches = 960 square inches for the banner and, the sign would have similar proportions, so width = 18 inches x (24/40) = 10.8 inches, so the area of the sign would be 18 inches x 10.8 inches = 194.4 square inches. Finally, the ratio of the area of the school banner to the area of the sign would be 960/194.4 = 4.94 (approximately). This means the banner is about 5 times larger than the sign.

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Answer: the slope is -5/8 so the mid point would be 2,1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

You are half way there when you record the endpoints from the graph correctly. Nice work.

The midpoint is found by this formula

(x_mid,y_mid) = (x1 + x2)/2 , (y1 + y2)/2

Givens

Solution

(x_mid,y_mid) = (-2 + 6)/2, (4 + - 1)/2

(x_mid,y_mid) = (2, 1.5)  Answer

Graph

Answer:

x=56

The exterior angle is 116

Step-by-step explanation:

The three angles of a triangle add to 180 degrees.

Lets call the unknown angle in the triangle y

y ,2x+4 make a straight line so they are supplementary.  That means they add together to make 180 degrees

y + 2x+4=180

Lets solve for y by subtracting 2x+4 from each side

y + 2x+4 - (2x+4) = 180 - (2x+4)

y = 180 -2x-4

y = 176 -2x

The three angles x , 60 and y   add together to make 180 degrees.

x + 60 + y = 180

Substituting in for y

x + 60 + 176 -2x = 180

Combine like terms

-x + 236 = 180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Divide by -1

x = 56

The exterior angle is 2x+4

2(56) +4

112+4

116

Answer: 1) x=56

2) value of the exterior angle: 116

Step-by-step explanation:

1. to solve for x, set up the equation that equals to the exterior angle

60 + x = 2x + 4

-x + 60 = 4

-x = -56

x = 56

2. now insert x (56) to the exterior angle expression

2 (56) + 4

112 + 4

116 degrees

Answer:

(A)

Step-by-step explanation:

The Postulate states that corresponding sides of similar triangles are in proportion.

We know that similar triangles are the triangle which have congruent triangles and and the corresponding sides are in proportion

Now in ΔSTP and ΔRPQ, corresponding sides are : (RP,TP); (RQ,TS) ;  (PQ,PS)

So we have RP:TP = PQ:PS

TP= 51; RP= 85; PS = 3x; PQ = 3x+24

PQ : PS = RP : TP

3x+24 : 3x = 85 : 51

Hence 5 statement represents (A) equation

Answer: A) (3x + 24):3x = 85:51

I hope this helps.

Y - 4 = 4 ( X-0)

So the main equation is

Y - y1 = m ( X - x1 )

Y1 = 6

M (slope) = 4

X1 = 0

Answer:

(0, - 4)

Step-by-step explanation:

What you are looking for is the y value when x = 0. So make x = 0 in the original equation.

3x - 4y = 16

3(0) - 4y = 16

- 4y = 16                 Divide by -4 on both sides.

-4y/- 4 = 16/-4        Do the division.

y = - 4

Answer:

i dont understand but this is what i got from it

I think it b because p and q haves 4 T and 4 F and when formated with -q and -p it makes T(times 3) F(1)

Answer:

B.  

p   q   ~q   p ∧ ~q  

T T F F

T F T T

F T F F

F F T T

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the legs of a 30-60-90 triangle are 1 and [tex]\sqrt{3}[/tex], while the hypotenuse is 2.

the ratio of the legs is therefore 1 : [tex]\sqrt{3}[/tex] → C

I can't help you out my brother It's too hard

Answer: d=sc/6. that's what i got.

Step-by-step explanation:

Answer:

n = -9

Step-by-step explanation:

4(0.5n -3) = n-0.25 (12 - 8n)

First use the Distributive Law to expand the parentheses:-

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

Subtract 2n from both sides:-

-12 = n - 3

Add 3 to both sides:-

-9 = n

Answer:

see below  please give brainliest

Step-by-step explanation:

X times cost = Y

If he doesn't sell any books than he doesn't make any money.  Each time he sells a book his pay will go up the cost of the book.

Answer:

The statement is true about whether A and B are independent eventa is fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Step-by-step explanation:

Let A be the event that the person rides the bus to school, then:

P(A)=75/300

P(A)=0.25

Let B be the event that the person has 3 or more siblings, then:

P(B)=24/300

P(B)=0.25

P(A/B)=9/24

P(A/B)=0.375

Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent

Answer. Fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Answer: D is the answer

Step-by-step explanation:

Answer:

Hola,

1, 2, 4, 5, 10, 20

Step-by-step explanation:

Answer:

x = 75/88  miles

or

x = 0.85227 (27 repeated) miles

Step-by-step explanation:

1 mile =1760 yards

x miles = 1500 yards

x = 1500 / 1760

x = 75/88

or

x = 0.85227 (27 repeated)

Answer:

1500 yards=0.85 miles

Step-by-step explanation:

we are given

1500 yards

we have  to convert it into miles

we are also given

1 mile=1760 yards

hence

1 yard=1/1760 mile

and

1500 yards=1500/1760 miles

1500 yards=0.85 miles

Hmmm, I think it sound more like the average. So mean. I'm not 100% sure but it isn't the median or the mode.

I would have to that it would be about 9 miles because is you go up from oceanfront the it is 9 but if you going sideways it is more then 10. I am so sorry if i get this wrong. Good luck

Answer:

causes the growth of peaches with multiple pits

Step-by-step explanation:

I got a 100% on the test :)

Option 3 "causes the growth of peaches with multiple pits" is the correct answer.

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have:

A study revealed that most orchards that used a new fertilizer harvested peaches with multiple pits.

In this study the cases are as follows:

Case 1: Adding fertilizer

The end result is that peaches are plucked while still full of pits.

Case 2: Leaving out fertilizer

As a result, no peaches are picked up with multiple pits.

Thus, option 3 "causes the growth of peaches with multiple pits" is the correct answer.

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Answer:

C. 12  

Step-by-step explanation:    

We have been given a scatter plot and trend line equation for the length of name plates (y) in inches for number of letters (x).

The given equation is: [tex]y=1.75x+0.5[/tex]

To find number of letters in a number plate that is 22 inches long we will substitute y=22 in our given equation.

[tex]22=1.75x+0.5[/tex]

[tex]22-0.5=1.75x+0.5-0.5[/tex]

[tex]21.5=1.75x[/tex]

[tex]x=\frac{21.5}{1.75}[/tex]

[tex]x=12.2857142857142857\approx 12[/tex]    

Therefore, the company can have 12 letters on 22 inches long name plate and option C is the correct choice.

Answer:

C.  12

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

and

D

Answer:

A) WU and ZX

Step-by-step explanation:

To graph the linear equation y= 9.5X, plot the y-intercept at point (0,0) due to the absence of +b. From there, move 1 unit to the right and 9.5 units up and place another point and do it several more times. Connect the points to form the line.

To graph the linear equation y=9.5X, you need to understand that this is an equation of a line in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is 9.5 and the y-intercept is 0 (since there is no +b following the 9.5).

Start by marking the y-intercept, which is at point (0,0), on your graph. The slope of 9.5 means that for every 1 unit you move to the right along the x-axis, you move up 9.5 units on the y-axis. So, from the y-intercept, you'd go over 1 and up 9.5, placing a point there. Do this several more times, then connect the points to form your line.

This line represents all solutions to the equation y=9.5X, meaning any point on the line satisfies the equation.

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Final answer:

To graph y=9.5X, plot the y-intercept at (0,0), then use the slope to find another point by moving right 1 unit and up 9.5 units, plot this point, and draw a line through both points.

Explanation:

To graph the linear equation y=9.5X, you start by identifying the slope and y-intercept. In this case, the equation is already in the slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. Since there's no plus or minus a number after 9.5X, the y-intercept is 0. The slope is 9.5, meaning for every increase of 1 unit in X, y increases by 9.5 units.

To graph this, you first plot the y-intercept at (0,0) on the vertical axis. Then, use the slope to find another point. From the y-intercept, move right 1 unit along the horizontal axis (increasing X by 1), and then move up 9.5 units on the vertical axis (increasing y by 9.5). Plot this second point. Finally, draw a straight line through both points, extending it in both directions. This line represents the equation y=9.5X.

Answer:

1600 items should not be defective

Step-by-step explanation:

To determine the number of items that are not defective, we multiply the number of items we have by the probability that they are not defective.

Not defective items = items * probability

                                 = 2000 * 4/5

                                    1600

Answer:1600

Step-by-step explanation:

Answer:

rearrange all of the terms

Step-by-step explanation:

The first step is to arrange the TERMS correcty

If a point is on the graph of the exponential equation then it should be true when you solve.

g(x) = (1/5)^x

y = (1/5)^x

1/125 = (1/5)^3

cbrt(1/125) = 1/5

.2 = 1/5

.2 = .2 YES

5 = (1/5)^-1

5 = 5 YES

1/25 = (1/5)^-2

-2root(1/25) = 1/5

5 = 1/5 NO

0 = (1/5)^1

0 = .2 NO

The correct answers are A and B.

This is about understanding input and output of a graph.

Correct Points are;

Option B; (-1, 5) and Option A; (3, 1/125)

x is the input value which is on the x-axis

g(x) is the output value which is on the y-axis

This will follow a coordinate writing system of (x, y)

Let us put 3 for x in the function;

y = (1/5)³

y = 1/125

y = 1/125 corresponds to y = 1/125 and so it is correct.

Option B; (-1, 5) means that when x = -1, y = 5

Let us put -1 for x in the function;

y = (1/5)⁻¹

y = 5

y = 5 corresponds to y = 5 and so it is correct.

Let us put 3 for x in the function;

y = (1/5)⁻²

y = 25

y = 1/25 doesn't correspond to y = 25 and so it is not correct.

Let us put 1 for x in the function;

y = (1/5)¹

y = 1/5

y = 0 doesn't correspond to y = 1/5 and so it is not correct.

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