What is the quetient of 17.51 / 3.4?

Answer:

12

Step-by-step explanation:

60 divided by 5 is 12, so Bobby jo would give her teachers 48 and 12 to her family

Final answer:

To find the number of cookies for Bobby Jo's family, subtract the number of cookies for her teachers from the total number of cookies she made.

Explanation:

To find the number of cookies for Bobby Jo's family, we need to subtract the number of cookies for her teachers from the total number of cookies she made. Bobby Jo made 60 holiday cookies and 4/5 of these are for her teachers. To calculate the number of cookies for her teachers, we multiply 60 by 4/5:

Number of cookies for her teachers = 60 x 4/5 = 48 cookies

Since the rest of the cookies are for her family, we subtract the number of cookies for her teachers from the total number of cookies to find the number of cookies for her family:

Number of cookies for her family = 60 - 48 = 12 cookies

1 ║ 4               6                  -1

                      4                  10

----------------------------------------------

    4               10                 [tex]\boxed{9}[/tex] 

⇒ The Remainder is 9

Answer:

670 animals

Step-by-step explanation:

First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).

218 = rounds up = 220

454 = rounds down = 450

Finally, add the rounded numbers together.

220 + 450 = 670

The zoo has approximately 670 animals.

Final answer:

To estimate the total number of animals at the zoo, round the number of animals in the outdoor and indoor exhibits to the nearest tenth and add them together for the estimation.  The estimated total number of animals at the zoo is 670

Explanation:

The zoo has 220 animals in the outdoor exhibits and 450 animals in the indoor exhibits.

To estimate the total number of animals, you need to round each number to the nearest tenth:

Round 218 to the nearest tenth: 220

Round 454 to the nearest tenth: 450

By rounding, the estimated total number of animals at the zoo is 670.

Answer:

Answer is selling price of second horse is Rs 30400.

Step-by-step explanation:

Maulik bought one horse at Rs 40000 and sold it with a gain of 15%

So the selling price of one horse will be 40000+15% of 40000

                                                      = 40000+6000

                                                      = Rs 46000

Second horse is costing Rs 40000 and had suffered a loss of Rs 3600 on selling both so selling price of both will be = 40000×2-3600

                                                                       = 80000-3600

                                                                       = 76400

  Now selling price of second horse will be selling price of both - selling price of first = 76400-46000 = Rs 30400

Answer:

The selling price of the second horse is Rs 30,400.

Step-by-step explanation:

Cost Price of first horse([tex]CP_{1}[/tex])= Rs. 40,000

Cost Price of second horse([tex]CP_{2}[/tex])= Rs. 40,000

Total cost price=[tex]CP_{1}+CP_{2}[/tex]=Rs (40,000+40,000)=Rs 80,000

First horse is sold at 15% gain.

This means selling price of first horse([tex]SP_{1}[/tex])= [tex]\dfrac{115}{100} \times40000[/tex]

                                                              = Rs. 46,000

also total there is a loss of Rs 3600

selling price of both the horses(SP)=80000-3600=Rs 76400

now, [tex]SP=SP_{1}+SP_{2}[/tex]

where [tex]SP_{2}[/tex] is the selling price of the second horse.

[tex]SP_{2}=SP-SP_{1}[/tex]

[tex]SP_{2}=76400-46000[/tex]

[tex]SP_{2}=30400[/tex]

Hence the selling price of the second horse is Rs 30,400.

Answer: The bar graph could work.

Answer:

Step-by-step explanation: A box plot takes a large amount of data and clearly identifies the median, first quartile, and third quartile. The first quartile identifies the 25th percentile, and the third quartile identifies the 75th percentile.

To determine how the height of the student compares to 25% of his class, the value of the first quartile of the heights is needed.

Therefore, the best graph type to show how the student compares to 25% of his class is a box plot.

Answer: 4x - 8 ; 12 yrs old

Step-by-step explanation:

sister: x

Ana: 4x - 8

when x = 5, Ana = 4(5) - 8

                           = 20 - 8

                           = 12

Answer:The numerator represents the total cost for renting the truck over a three-day period.

Step-by-step explanation:

The numerator of the rational expression represents:

x represent the number of miles driven during the rental period.

Also, the fixed charge of the truck when it is rented for a three day period is: $ 115

The charge per mile is: $ 0.83

This means when the car is driven x miles in three day period then the cost is: $ 0.83x

Total cost of the truck in the rental period is: 115+0.83x

This means that the  average cost per mile for a three-day period is :

Ratio of total cost of truck to the number of miles driven.

i.e.

[tex]Average\ cos\ per\ mile=\dfrac{115+0.83x}{x}[/tex]

Hence, the numerator represent Total cost of truck during the rental period.

48

Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...

... CD +DP = (x+2) +(16-x) = 18

The radius of circle O is ..

... OC + CD = (x) + (x +2) = 2x+2

The length OP is ...

... OC + CP = (x) + (18) = x+18.

Now, the perimeter of ΔAOP is ...

... radius of circle O + radius of circle P + OP = 80

... = (2x+2) + 18 + (x+18) = 3x+38 = 80

Then x is ...

... x = (80 -38)/3 = 14

and the radius of circle O is

... 2x +2 = 2·14 +2 = 30

The desired sum is ...

... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18

... OB + BP = 48

Let's assume the opposite is the case. So let's assume that a = b is true. If so, then f(a) and f(b) would be the same output. This is because we can replace 'b' with 'a', or vice versa. In other words, f(a) = f(b) would be true. But this contradicts the original inequality that f(b) < f(a)

So that is why 'a' cannot equal b. We don't know if a > b or if a < b (unless we are told if the function is strictly decreasing or increasing on the interval from x = a to x = b), so we just leave it as [tex]a \ne b[/tex]

Answer:

Segment AB!

hope this helps

Step-by-step explanation:

Answer:

Segment XY≅  segment AB.

Step-by-step explanation:

Given : ABC is congruent to triangle XYZ.

To find : which of the following is congruent to segment XY.

Solution : We have given that triangle ABC ≅ ΔXYZ.

By the congruent rule of triangle  : congruent triangle have congruent corresponding sides .

So. side AB ≅ XY

Therefore, Segment XY≅  segment AB.

Answer:

Step-by-step explanation:

Answer:

12,495 is the answer

Step-by-step explanation:

Answer:

8.14$

Step-by-step explanation:

each pound is for 2.20

2.5 x 2.20 = 5.50$ on Monday

1.2 x 2.20 = 2.64$ on Tuesday

5.50 + 2.64 = 8.14$ in total

Answer:

59-12 would be 47 points and by all means you would have an F

Step-by-step explanation:

59-12=47

Answer:

Step-by-step explanation:6*3 7*3 8*3 9*3

Answer: $16, 666.67

Step-by-step explanation:

Job 1: 0.06x

Job 2: 0.03x + 500

0.06x > 0.03x + 500

-0.03x  -0.03x          

0.03x >              500

÷0.03              ÷0.03

       [tex]x > \dfrac{50000}{3}[/tex]

        x > 16,666.67      rounded to the nearest penny

Answer:

1/5

Step-by-step explanation:

Experimental probability is the actual times it happens divided by the number of trials

Actual times red occurs:2

Trials: 10

Experimental probability: 2/10 = 1/5

Answer:1/5

Step-by-step explanation:Experimental probability is the actual times it happens divided by the number of trials

Actual times red occurs:2

Trials: 10

Experimental probability: 2/10 = 1/5

Answer:

Jane is 12 years old and Harvey's is 36 years old .

Step-by-step explanation:

Given :

Jane is  [tex]a_{0}[/tex]  years old.

Harvey is   [tex]a_{1}[/tex] years old.

Harvey is 3 times as old as Jane.

The sum of their ages is 48 years.

To find : The ages of Harvey and Jane.

Solution :

Jane 's age :

[tex]a_{0}[/tex]

Harvey  's age:

[tex]a_{1}[/tex]  

Since we are given that sum of their ages is 48 years

⇒[tex]a_{1} + a_{0} = 48[/tex]  ----(A)

We are also given that  Harvey is 3 times as old as Jane.

⇒[tex]a_{1} = 3a_{0}[/tex]  --- (B)

Solving (A) and (B) using substitution method

Substitute value of [tex]a_{1}[/tex]  from (B) in (A) :

⇒[tex] 3a_{0}+ a_{0} = 48[/tex]

⇒[tex] 4a_{0} = 48[/tex]

⇒[tex]a_{0} = \frac{48}{4}[/tex]

⇒[tex]a_{0} = 12[/tex]

Thus , Jane 's age is 12 years .

Substitute this value in (B) to find Harvey,s age :

⇒[tex]a_{1} = 3(12)[/tex]

⇒[tex]a_{1} = 36[/tex]

Thus, Harvey,s age is 36 years .

Hence Jane is 12 years old and Harvey's is 36 years old .

Answer: The quadrilateral used here is a trapezium.

The total of the two matrices is found by adding corresponding elements:

[tex]\left[\begin{array}{cc}5+2&3+3\\22+17&15+27\\13+15&12+18\end{array}\right] =\left[\begin{array}{cc}7&6\\39&42\\28&30\end{array}\right][/tex]

This matches selection A.

Answer: [tex]\bold{y = \sqrt{900-x^2}}[/tex]

Step-by-step explanation:

The general form of a circle is: (x - h)² + (y - k)² = r² ; where

Since the roller coaster is centered at the origin, then (h, k) = (0, 0)

Since the height of the roller coaster is 30, then radius (r) = 0

Equation of the circle is: (x - 0)² + (y - k)² = 30²

⇒ x² + y² = 900

To find the equation of the semicircle, solve for "y"

x² + y² = 900

      y² = 900 - x²

      [tex]\sqrt{y^2}=\sqrt{900-x^2}[/tex]

      [tex]y = \pm\sqrt{900-x^2}[/tex]

Since we are looking for the top half of the semicircle (because it is above ground), then use the positive root:  [tex]y = \sqrt{900-x^2}[/tex]

Answer:

x^2+y^2=900Step-by-step explanation:

1.Write the equation that models the height of the roller coaster.

x^2+y^2=30^2

2.Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)

x^2+y^2=900

3.Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)

y= √(900-x^2)

Answer:

The bike will cost $108.75

Step-by-step explanation:

In order to find the amount, you must multiply the cost by the percentage being paid. Since the mark down is 25%, you are paying 75% of the overall cost. So multiply 75% by $145.

75% * $145 = $108.75

So to find the potential roots, we will be using the rational root theorem. The rational root theorem is [tex]\pm \frac{p}{q}[/tex] , with p = factors of the constant and q = factors of the leading coefficient. In this case, our constant is 12 and our leading coefficient is 1:

[tex]p=1,2,3,4,6,12\\q=1\\\\\pm\frac{1,2,3,4,5,6,12}{1}\\\\\pm1,\pm\ 2,\pm\ 3,\pm\ 4,\pm\ 6,\pm\ 12[/tex]

In short, our potential roots are: ± 1, ± 2, ± 3, ± 4, ± 6, and ± 12.

Answer:

2,4,3,6,12

Step-by-step explanation:

i just did it.  

We don't know anything about the x coordinate of point B other than it cannot be zero (which is what the slash through the equal sign means). You can pick any value you want for x as long as it's not zero. So I'm going to pick x = 1. Point B is located at (x,y) = (1,-7)

Find the slope of the line through A(-5,5) and B(1,-7). Use the slope formula

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

m = (-7-5)/(1 - (-5))

m = (-7-5)/(1 + 5)

m = (-12)/(6)

m = -2

Use this slope value with (x,y) = (-5,5) to find the y intercept b

y = mx+b

y = -2x + b

5 = -2(-5) + b

5 = 10 + b

5-10 = 10+b-10

-5 = b

b = -5

So y = mx+b turns into y = -2x-5 which is the equation of the line through the two points A(-5,5) and B(1,7). The graph is shown below.

note: this answer will be different if you pick a different x coordinate for point B