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Crank
3 years ago
6

For her exercise today, Keiko plans to both run and swim. Let r be the number of laps she runs and let s be the number of laps s

he swims. Each lap she runs takes her 5 minutes, and each lap she swims takes her 3 minutes. She wants to exercise for at least 30 minutes today. Using the values and variables given, write an inequality describing this.
Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

5r + 3s ≥ 30

Step-by-step explanation:

We know Keiko wants to do exercise at least 30 minutes a day, and she wants ideally to mix up the activities, by combining running and swimming into her schedule.

Since each lap she runs takes 5 minutes and each lap she swims takes 3 minutes, these will be the left side of the inequality:

5r + 3s

She wants to exercise at least 30 minutes a day, so...

5r + 3s ≥ 30

she could do 3 laps of running and 5 laps of swimming for example.

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Dylan read his book for 2 2/3 hours and Faith read her's for 1 1/5.How much longer did did Dylan read then Faith?
Damm [24]

Answer:

1 7/15

Step-by-step explanation:

2-1=1

then you make 2/3 and 1/5 have the same denominator -

5*3=15

?/15                       ?/15

multiply 2 by 5 which is 10, so 10/15

then multiply 1 by 3 which is 3/15

subtract 3/15 from 10/15 which is 7/15

4 0
3 years ago
4x2 + 8x - 7 - (3x2 - X+9)​
Andreas93 [3]

Answer:

<h2>{x}^{2}  + 9x - 16</h2>

Step-by-step explanation:

4 {x}^{2}  + 8x - 7 - (3 {x}^{2}  - x + 9)

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

4 {x}^{2}  + 8x - 7 - 3 {x}^{2}  + x - 9

Collect like terms

4 {x}^{2}  - 3 {x}^{2}  + 8x + x - 7 - 9

{x}^{2}  + 9x - 7 - 9

Calculate

{x}^{2}  + 9x - 16

Hope this helps...

Good luck on your assignment...

5 0
3 years ago
Read 2 more answers
Janice Tax, an accountant for Flee Corp., earned $102,700 from January to June. In July she earned $8,000. Assuming a FICA tax r
faust18 [17]

The Federal Insurance Contributions Act (FICA) is made up of two items, Social Security and Medicare taxes. For 2016, the Social Security tax rate is 6.2% on the first $118,500 wages paid. The Medicare tax rate is 1.45% on the first $200,000 and 2.35% above $200,000. Since the total earnings is only $110,700 which is not yet taxable. So there is no taxable earnings yet.

6 0
3 years ago
Which equation can be used to solve for x in the following diagram?
Setler [38]

∑ Hey, petalssquad10 ⊃

Answer:

( 10 x + 10 ) = 110

Step-by-step explanation:

As you can see this following diagram shown a vertical angles which  are angles that are opposite of each other when two lines cross. You can also see it kind of look like a "x". Vertical angles also means that they have the same angle measure. A example is if this angle is "110" then the other sides equal to "110''.

Hence, the equation we can be used to solve for x in the following diagram is:

( 10 x + 10 ) = 110

You can also refer to the image below:

<u><em>xcookiex12</em></u>

<u><em></em></u>

<em>8/18/2022</em>

6 0
2 years ago
Explain why the function of f(x)=4x^2+8x is neither even or odd
myrzilka [38]

Answer:

By putting x = -x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.

Step-by-step explanation:

We need to explain why the function of f(x)=4x^2+8x is neither even or odd

First we will understand, when the function is even and odd

Even function:

<em>A function is even if f(-x) = f(x) </em>

Odd function:

<em>A function is odd if f(-x) = -f(x) </em>

So, if we get the above result by putting x = -x, then we can say that the function is even or odd.

If we don't get any of the above results then the function is neither even nor odd.

So, for the given function: f(x)=4x^2+8x

Put x = -x

f(x)=4x^2+8x\\Put x=-x\\f(-x)=4(-x)^2+8(-x)\\f(-x)=4x^2-8x

So, by putting x=-x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.

6 0
3 years ago
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