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adoni [48]
2 years ago
15

There are between 60 and 100 children at the sunny side holiday camp. When the children are put into pairs, there is 1 child lef

t. When they are put into groups of 5, there is 1 child left. When they are put into groups of 8, there is 1 child left. How many children are there at the camp ?
Mathematics
1 answer:
Alik [6]2 years ago
8 0

Answer:

2×5×8 = 80

80+1 81

There are 81 students in the camp

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PLEASE HELP I WILL GIVE BRAINLIEST Complete the frequency table: Method of Travel to School Walk/Bike Bus Car Row totals Under a
frozen [14]

Answer:

11%

Step-by-step explanation:

1. Fill out the table with the correct numbers.

2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.

3. We know the total number of students under the age of 15 is 165.

4. To find the percent:

       18/165 * 100

               = 11%

3 0
2 years ago
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Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options,
ElenaW [278]

Answer:

These are the rectangular prisms that have a surface area greater than 140 square feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

The formula to find the surface area of a rectangular prism is SA=2(wl+hl+hw)

All you have to do is go through all the options given to you to figure out which retangular prisms have a surface area greater than 140 square feet.

6 feet by 2 feet by 3 feet

SA = 2((2)(6)+(3)(6)+(3)(2))

SA = 2(12 + 18 + 6)

SA = 2(36)

SA = 72

6 feet by 5 feet by 4 feet

SA = 2((6)(5) + (4)(5) + (4)(6))

SA = 2(30 + 20 + 24)

SA = 2(74)

SA = 148

7 feet by 6 feet by 4 feet

SA = 2((7)(6) + (4)(6) + (4)(7))

SA = 2(42 + 24 + 28)

SA = 2(94)

SA = 188

8 feet by 3 feet by 7 feet

SA = 2((8)(3)+(7)(3)+(7)(8))

SA = 2(24 + 21 + 56)

SA = 2(101)

SA = 202

8 feet by 4 feet by 3 feet

SA = 2((8)(4)+(3)(4)+(3)(8))

SA = 2(32 + 12 + 24)

SA = 2(68)

SA = 136

3 0
2 years ago
Nick starts with 20 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of
Gre4nikov [31]

Answer:

what the answer

Step-by-step explanation:

6 0
2 years ago
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. What does the slope mean for thi
xxTIMURxx [149]
Simple...

you have: C(X)=3x+2.00

x=number of minutes

Pay attention to the y=mx+b form where m=slope-->>

3x is the slope...

so it's 3(times the number of minutes) <<---or (x)

This means that the slope is 3, or the fancy way of saying it-->>"rate of change."

The rate of change of the cost of the taxi ride is $3.00 per minute.

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7 0
2 years ago
PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug
Wewaii [24]

Answer:

The shortest distance is 2.2 miles      

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

y=3x+2

The slope of the river  is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

m=-1/3

step 2

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-1/3

point(2,1)

substitute

y-1=-(1/3)(x-2)

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

y=3x+2 ------> equation A

y-1=-(1/3)(x-2) -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

d=\sqrt{(1.7-1)^{2}+(-0.1-2)^{2}}

d=\sqrt{(0.7)^{2}+(-2.1)^{2}}

d=2.2\ miles

6 0
2 years ago
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