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Drupady [299]
2 years ago
13

Im

Mathematics
1 answer:
Natali [406]2 years ago
8 0

Answer:

a) 9 miles

b) 6 miles

c) 3 miles

Step-by-step explanation:

a)  Clare's speed = 12 mph

Calculate Clare's speed in miles per minute by dividing 12 by 60 (as there are 60 minutes in an hour):

12 ÷ 60 = 0.2 miles per minutes

Therefore, position after 45 minutes:  45 x 0.2 = 9 miles

b) Han's speed = 8 mph

Calculate Han's speed in miles per minute by dividing 8 by 60 (as there are 60 minutes in an hour):

8 ÷ 60 = 2/15 miles per minutes

Therefore, position after 45 minutes:  45 x 2/15 = 6 miles

c) Distance between Clare and Han = 9 - 6 = 3 miles

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Find the equation of the circle with center (4, 4)
madam [21]
General equation of a circle is (x+a)^2 + (y+b)^2 = radius ^2
a and b are the centre and you put in the inverse so as x=-4, a=-4. same for b as the y-coordinate is positive, it becomes negative
the last part is the radius of the circles squared so just 7^2 = 49 !
5 0
3 years ago
Can someone please help me with this problem?
GenaCL600 [577]
You need to know and have memorized metric unit conversions. They are easy, you just need to know how many zeros to add.

1 cm = 10 mm
1 m = 1000 mm
1 m = 100 cm
1 km = 1000 m


 (1.) 4m + 3cm = 400cm + 3cm = 403cm
(2.) 3km + 8m = 3000m + 8m = 3008m
(3.) 7cm + 9mm = 70mm + 9mm = 79mm
(4.) 1m + 5cm = 100cm + 5cm = 105cm
(5.) 5km + 5m = 5000m + 5m = 5005m

Do you see that to switch 5km to smaller unit meters you just add the zeros on to the end. Because 1km = 1000m ; 5km = 5000m

You try the rest. let me know if you have any questions.
5 0
3 years ago
5. Which operation should be used to solve x + 7 = 19?<br> - 7<br> : 7<br> x 7<br> + 7
Goshia [24]

Answer:

the answer for the operation that should be used to solve x+7 is -7

4 0
3 years ago
Whats the answer to 8h+5-3h=8h-4 and how do i do it
tiny-mole [99]

The solution to the linear equation:

8h + 5 - 3h = 8h - 4

is h = 3.

<h3>How to solve the linear equation?</h3>

Here we have the linear equation:

8h + 5 - 3h = 8h - 4

To solve it, we need to move all the terms with h to the left side of the equation and the terms without x to the right side:

8h - 3h -8h = -4 - 5

-3h = -9

Now we can divide both sides by -3 to get:

h = -9/3 = 3

We conclude that the solution to the linear equation is h = 3.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

5 0
2 years ago
At one company a level 1 engineer receives a salary of $45,000 and a level 2 receives a salary of $65,000. The company has a bud
kkurt [141]

Answer:

Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.

Step-by-step explanation:

Let the number of engineers for level 1 be x.

Let the number of engineers for level 2 be y.

Given:

Total Number of engineers company can hire = 13

Now Total number of engineers are equal to sum of number of engineers for level 1 and number of engineers for level 2.

Hence Framing in the equation form we get;

x+y=13 \ \ \ \ equation\ 1

Also Given:

Salary of level 1 engineers = $45,000

Salary of level 2 engineers = $65,000

Total Budget of Company = $785,000

But Total Budget of Company depends upon the sum of Salary of level 1 engineers multiplied with number of level 1 engineers and Salary of level 2 engineers multiplied with number of level 2 engineers.

Hence equation can be framed as;

45000x+65000y = 785000

Dividing by 5000 on both side we get;

\frac{45000x}{5000}+\frac{65000y}{5000}=\frac{785000}{5000}\\\\9x+13y=157 \ \ \ \ equation\ 2

Now Multiplying equation 1 by 9 we get;

9(x+y)=13\times9\\9x+9y= 117 \ \ \ \ equation\ 3

Now Subtracting equation 3 from equation 2 we get;

(9x+13y)-(9x-9y)=157-117\\\\9x+13y-9x-9y=40\\\\4y=40\\\\y=\frac{40}{4} =10

Now Substituting the value of y in equation 1 we get

x+y=13\\x+10=13\\x=13-10\\x=3

Hence Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.

5 0
4 years ago
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