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1 year ago

The sum of two numbers is 64. The difference between the numbers is 14. Write a system

Mathematics

1 answer:

Anastasy [175]1 year ago

8 0

Answer:

They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:

x + y = 64

The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:

x - y = 14

Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.

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The top one I need help with

brilliants [131]

Same thing as what you did on the bottom. Find numbers with both 7 as the base and numbers that add to 14 on the top. Possibilities:
1) 7^10•7^4
2)7^6•7^8
37^2•7^12

5 0

2 years ago

An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) betwee

SSSSS [86.1K]

Answer:

$0.79 in^3$

Step-by-step explanation:

Given data for the cone

height h= 4 in

radius r= 1 in

hence diameter d= 2 in

thickness of cone= 0.1 in

The volume of the cone including the shell can be expressed as

$volume=\frac{1}{3} \pi r^2h$

$volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3$

The volume of the ice cream can be expressed as

N/B: the diameter of the ice cream is

2-(0.1*2)= 2-0.2= 1.8 in

hence the radius is 0.9 in

$volume= \frac{1}{3}*3.142*0.9^2*4\\\ volume= \frac{10.18}{3} \\\ volume= 3.39 in^3$

The difference in volume is $4.189-3.39= 0.79 in^3$

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2 years ago

A school administrator is interested in estimating the proportion of students in the district who participate in community servi

jarptica [38.1K]

Answer: option 1

Step-by-step explanation: By constructing a 99% confidence interval for population proportion, it implies that the principal is 99% sure that the confidence interval will contain the population proportion.

When we construct confidence interval, we do so to show that the population parameter that we are looking for is present in the interval at a specified confidence level.

4 0

3 years ago

The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four

Ugo [173]

Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

Side 1 = x

One side of the triangle is one foot longer than the second side

Side 2 = x - 1

The third side is four feet longer than the second side

Side 3 = (x - 1) + 4

Perimeter = sum of all sides

47 = x + (x - 1) + (x - 1) + 4

47 = x + x - 1 + x - 1 + 4

47 = 3x + 2

47 - 2 = 3x

45 = 3x

x = 15

substitute for x in each of the sides

Side 1 = x => 15 feet

Side 2 = x - 1 => 15 - 1 = 14 feet

Side 3 = (x - 1) + 4 => 14 + 4 = 18 feet

6 0

3 years ago

Read 2 more answers

Drag the blue point to a place on the number line

sergejj [24]

Answer:

The number line is shown below.

Step-by-step explanation:

We need to represent number that is less than 3 on a number line.

Let x be numbers.

So, $x$ .

Now, we have a number which represents x<3. Here 3 is not included in the solution set, so there is an open circle on 3 and left side of 3 are in the solution set.

The number line is shown below.

4 0

3 years ago