If a wagon train traveled 12.5 miles each day, how many days would it take
them to get to Independence Rock which is 900 miles from their starting
point?

Answer:

60 goody bags

Step-by-step explanation:

1 kg = 1000 g

6.2 kg = 6,200 g

Empty box = 200 g

Box + goody bags = 6,200 g

Weight of Goody bags = Box + goody bags - empty box

= 6,200g - 200g

= 6,000 grams

Each goody bag = 100 g

how many goody bags are inside the box

Number of goody bag in the box = total weight of goody bag / weight of each goody bag

= 6,000 grams / 100 grams

= 60 goody bags

There are 60 goody bags in the box

Answer:

A positive slope of the trend line comparing homework scores and test scores means that higher homework scores infer a higher test score.

Step-by-step explanation:

Answer:

[tex]x - ( - z) = x + z =( - 8)+(- 11) \\ = \boxed{ - 19}[/tex]

Answer:

y = 4.25x

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

Hence the required equation is y = 4.25x

Answer:

21

Step-by-step explanation:

Assuming this is a right triangle, we can use Pythagorean Theorem to find the third side. We'll represent the missing side with the variable x.

x² + 20² = 29²

x² + 400 = 841

x² = 441

x = 21

Therefore, the length of the third side is 21.

Answer:

yes

Step-by-step explanation:

Given :

60% of dads prefer to watch football on TV.

40% prefer to watch basketball.

To Find :

If 200 dads were surveyed, how many more preferred football to basketball.

Solution :

Number of dad prefer football over basketball is :

[tex]N = 200\times \dfrac{60}{100}\\\\N = 120[/tex]

Therefore, 120 dad's prefer football over basketball.

Answer:

floor seats=35

and the balcony seats =72

Step-by-step explanation:

Step one

given data

let the floor seats be x

and the balcony seats be y

so

45x+25y=3375-------1

x+y= 107----------------2

from 2, x= 107-y

put x= 107-y in  1

45(107-y)+25y=3375

4815-45y+25y=3375

collect like terms

-45y+25y= 3375-4815

-20y=-1440

divide both sides by -20

y=72

put y= 72 in eqn 2

x+72=107

x=107-72

x=35

Answer:

mean- 66

median- 7

mode- 8

range- 6

Step-by-step explanation:

to find the mode you line up all the numbers, add them all together and then divide that number by 2.

to find the median you line up all the numbers then one by one taking turns from left to right you cross of the numbers to find the number in the middle. (think of median as middle)

to find mode you just find the number that is used the most. (mode=most)

to find the range you find the highest number and the lowest number. and subtract the lowest from the highest to find the difference between the 2. in this case its 9-3 so the difference is 6.

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

mean- 6.29

median- 7

mode- 8

range- 6

Hope this helps!! :D

Answer:

the answer is -225

you have to undo the operation that is being done to x. since it's dividing, you have to multiply both sides by 5 to "undo" what had been done. 5*-45= -225

Step-by-step explanation:

i hope this helped :)

Answer:

A. Right a multiple of 2 and up a multiple of 1.

B. (2, 1)

C. the same

Step-by-step explanation:

A. The original point was (2, 1), so if Larissa moves right a multiple of 2 and up a multiple of 1, she'll stay within the ratio.

B. We already know this is proportional, since it goes through the origin; the line just has to pass through the right point: (2,1)

C. The line will be proportional, so as long x is twice as much as y, Larissa will have the same shade of green paint every time.

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°

Answer:

The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.

Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.

9514 1404 393

Answer:

  m = -3

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) + a^(b+c)

__

  [tex](-3)^{m+2}\times(-3)^5=(-3)^4\\\\(-3)^{m+2+5}=(-3)^4\\\\m+7=4 \qquad\text{equate exponents}\\\\\boxed{m=-3} \qquad\text{subtract 7}[/tex]

Answer:

1 inch represents 60 feet.

Step-by-step explanation:

120/2

= 60

So his scale is 1:60

Answer:

Its 1 inch represents 60 ft

Step-by-step explanation:

you have to divide 120 by 2 and thats 1 inch per 60 feet

Step-by-step explanation:

A'B'/AB = 5.1/1.7 = 3

B'C'/BC = 7.2/2.4 = 3

A'C'/AC = 7.5/2.5 = 3

These ratios are equal to the scale factor. These ratios are the scale factor.

Answer:

$18.375 or rounded = $18.38  (brainliest if correct)

Step-by-step explanation:

25.00- 7.5 = $17.5

5% of 17.5 = 0.875

17.5 +0.875 = 18.375

Answer:

16

Step-by-step explanation:

Answer: Any real number x as long as [tex]x \ne 0[/tex] and [tex]x \ne -\frac{2}{3}[/tex]

In other words, anything but 0 or -2/3 is valid.

========================================================

Explanation:

Set the denominator equal to zero and solve for x

2(3x^2 + 2x) = 0

3x^2 + 2x = 0

x(3x + 2) = 0

x = 0 or 3x+2 = 0 .... zero product property

x = 0 or 3x = -2

x = 0 or x = -2/3

If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x)  will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.

Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.

Step-by-step explanation:

The given inequality is :

[tex]350\ge 125+15x[/tex] ....(1)

We need to draw graph of this inequality.

Subtract 125 from both sides.

[tex]350-125\ge 125-125+15x\\\\225\ge 15x[/tex]

Dividing 15 to both sides.

[tex]\dfrac{225}{15}\ge \dfrac{15x}{15}\\\\15\ge x[/tex]

Hence, the attached figure shows the graph for this inequality.

Answer:

I think it is 8

Step-by-step explanation:

Im sorry if it is wrong :(

Answer:

option a

Step-by-step explanation:

alternate exterior angle theorem

Answer:

3 cm

Step-by-step explanation:

So, in the first week, the water decreased 4 cm

But, in the next week the water level rose by 7 cm

So, we need to do -4+7, which equals 3cm

Thanks!

Answer:

1.2 minutes

Step-by-step explanation:

So its saying it takes 6 mins to do 5 laps. Thats a little over a min per lap so we now its going to be over 1.  The first step is to divide 6/5. Then you get 1.2

Answer:

44°

Step-by-step explanation:

8x-4 = 6x+8

8x - 6x = 8 + 4

2x = 12

x = 12/2

x = 6

then:

8*6 - 4 = 48 - 4 = 44°

The measure of angle 1:

44°

Answer:

Graph C

Step-by-step explanation:

Answer:

36%

Step-by-step explanation:

1 = 100%

so 1.36 is increasing by 36%

Answer:

55%

Step-by-step explanation:

Out of 100 blocks 55 are shaded

so the fraction would be 55/100

55/100 = 55%