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Lapatulllka [165]
4 years ago
8

Layla is working two summer jobs, babysitting and tutoring. She can work at most 8 hours altogether between both jobs in a given

week. Write an inequality that would represent the possible values for the number of hours babysitting,
b
b, and the number of hours tutoring,
t
t, that Layla can work in a given week.
Mathematics
1 answer:
ExtremeBDS [4]4 years ago
7 0

Answer:

The inequality equation is b+t\leq 8,

Step-by-step explanation:

Let the number of hours she work in Babysitting be b.

Also Number of hours she work in tutoring be t.

She can work at most 8 hours altogether between both jobs in a given week.

We need to find the Inequality expression that would represent the possible values for the number of hours babysitting, b  and the number of hours tutoring, t.

It can be framed as;

number of hours she work in Babysitting plus Number of hours she work in tutoring should be less than or equal to 8.

Expressing in mathematical form we get;

b+t\leq 8

Hence the Inequality is given as b+t\leq 8.

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Calculate the distance between the points K = −1, −4 and L = −82 in the coordinate plane.
AlexFokin [52]

Answer:

√85

Step-by-step explanation:

The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...

... d = √((x2-x1)^2 +(y2-y1)^2)

For your points (-1, -4) and (-8, 2), the distance is ...

... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)

... d = √85

The distance between the two points is √85.

3 0
4 years ago
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3 years ago
Rewrite the expression as a single power with a negative exponent
goblinko [34]

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let's recall that  

\begin{array}{llll} 1^1&=&1\\ 1^{10}&=&1\\ 1^{1,000}&=&1\\ 1^{1,000,000,000}&=&1\\ 1^{1,000,000,000,000}&=&1\\ \end{array}

8 0
2 years ago
A lake was closed because of an accidental pesticide spill. The concentration of the pesticide after the spill was 848 parts per
DochEvi [55]

Answer:

Step-by-step explanation:

a_{n}=a_{1}r^{n-1}\\0=848(0.75)^{n-1}\\or~(0.75)^{n-1}=0\\0.75

or~n \rightarrow 1+\infty\\or~n \rightarrow \infty

Hence lake will never be free of pesticide.

5 0
3 years ago
Read 2 more answers
a chord of 12cm long of 8cm is away from the of the circle what is the lenght of the chord which is 6cm away from the centre
lana66690 [7]

Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

5 0
3 years ago
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