Josslyn needs to earn at least $420 a week during her summer break to pay for college. She works two jobs, one at a restaurant that pays $18 an hour and the other tutoring for $16.50 per hour.

Let x be the number of hours she works at the restaurant and let y be the number of hours she works tutoring. Write an inequality that models this situation.

Answer:

...

Step-by-step explanation:

The number 211,647 rounded to the nearest thousand is 212,000. Hopefully this helps!

Answer:

212,000

Step-by-step explanation:

If we are rounding to the nearest thousand, lets take the first two digits and hide them. If we are rounding 1647 to the nearest thousand, it would be 2100. Then, add the first two digits back and now it is 212,000.

Answer:

1) [tex]\frac{(-2)^{-5}}{(-2)^{-10}}=-32[/tex]

2) [tex]2^{-1}.2^{-4} = \frac{1}{32}[/tex]

3) [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}[/tex]

4) [tex]\frac{2}{2^{-4}} = 32[/tex]

Step-by-step explanation:

1) [tex]\frac{(-2)^{-5}}{(-2)^{-10}}[/tex]

Solving using exponent rule: [tex]a^{-m}=\frac{1}{a^m}[/tex]

[tex]\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32[/tex]

So, [tex]\frac{(-2)^{-5}}{(-2)^{-10}}=-32[/tex]

2) [tex]2^{-1}.2^{-4}[/tex]

Using the exponent rule: [tex]a^m.a^n=a^{m+n}[/tex]

We have:

[tex]2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}[/tex]

We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]

Using this rule:

[tex]2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}[/tex]

So, [tex]2^{-1}.2^{-4} = \frac{1}{32}[/tex]

3) [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2[/tex]

Solving:

[tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}[/tex]

So, [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}[/tex]

4) [tex]\frac{2}{2^{-4}}[/tex]

We know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]

[tex]\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32[/tex]

So, [tex]\frac{2}{2^{-4}} = 32[/tex]

Given:

The equation of the parabola is

[tex]y=2x^2+8x+3[/tex]

To find:

The vertex and check whether it opens up or down.

Solution:

We have,

[tex]y=2x^2+8x+3[/tex]

Here, leading coefficient is 2 which is a positive number. So, the parabola opens up.

The vertex of parabola [tex]f(x)=ax^2+bx+c[/tex] is

[tex]\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

Here, a=2, b=8 and c=3.

[tex]\dfrac{-b}{2a}=\dfrac{-8}{2(2)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-8}{4}[/tex]

[tex]\dfrac{-b}{2a}=-2[/tex]

Putting x=-2 in the given equation.

[tex]y=2(-2)^2+8(-2)+3[/tex]

[tex]y=2(4)+(-16)+3[/tex]

[tex]y=8-16+3[/tex]

[tex]y=-5[/tex]

So, the vertex of the parabola is at (-2,-5) and parabola opens up.

Therefore, the correct option is D.

Answer:

5

Step-by-step explanation:

Answer:

multiplied by 10 goes in the blank line.

Step-by-step explanation:

Choose the number of hours as 1.

The number on the y axis that is the number of miles is 10

So any time you have will be multiplied by 10 to get the total number of miles.

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion [tex]\hat p[/tex] = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

[tex]Z_{\alpha/2} = Z_{0.05/2} \\ \\ Z_{0.025} = 1.96[/tex] (From the z tables)

The margin of error is calculated by using the formula:

[tex]M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}[/tex]

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

Answer:

315.95 or 316

Step-by-step explanation:

If you multiply it you get 315.95 but that kind of equal sign signifies and the approximate sum so 316.

Answer:

A. 25, obtuse

Step-by-step explanation:

By exterior angle theorem:

2x° = 30° + 20°

2x° = 50°

x° = 50°/2

x° = 25°

x = 25

Type of triangle: Obtuse

Answer:

6.5 tons

Step-by-step explanation:

A ton is equal to 2000 pounds.

13000/2000 = 6.5

Answer is d mg ...........

HOPE IT HELP....

Answer:

5 times K is 5K

Step-by-step explanation:

gujjhgvbjyijgvbn

Answer:

5k

Step-by-step explanation:

5 times k is 5k

Answer:

smallest side is HI

Step-by-step explanation:

because the opposite side of smaller angle is always small

Answer:

HI

Step-by-step explanation:

Answer:

w=15a-5b+2

w+5b-2=15a

(w+5b-2)/15=a

Step-by-step explanation:

The value of a in the expression w = 5(3a - b) + 2 is a = (1 + 5b - 2)/15.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given an expression  w = 5(3a - b) + 2.

Now to make 'a' the subject is the same as finding the value of a.

w = 5(3a - b) + 2.

w = 15a - 5b + 2.

w + 5b - 2 = 15a.

a = (1 + 5b - 2)/15.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

2 and 3

2+3 = 5

3-2 = 1

is the number

Answer:

landed

landed since it has to be past tense.

Answer:

landed

Step-by-step explanation:

"this morning" suggests it is in the past tense, so past tense is needed.

Answer: C

Step-by-step explanation: C

The point on the polar coordinate that represents (-6, pi/12) is point C.

The point on the polar coordinate system that is equivalent to (-6, pi/12) is point C. This is the case because the value of pi/12 can be found on the cis formation to C.

In addition, multiplying the denominator by two gives us the value of 12. So, the point on this plane that is equal to  (-6, pi/12) is point C. The polar coordinate system is one of the many ways of representing a complex function.

Learn more about the polar coordinate system here:

https://brainly.com/question/14965899

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12/16 becomes 6/8 which later becomes 3/4.

So,

The ratio of dogs to cats in simplest form is 3:4 [Option 4]

Hope it helps!

Answer:

its 5a+b don't report my answer because its correct

Step-by-step explanation:

Answer:

5a+b

Step-by-step explanation:

Answer:

I think its D

Step-by-step explanation:

Mark me Brainliest

Answer:

The missing exponent is 7

Answer:

X=5

Step-by-step explanation:

If figure B is a larger version of A, that means that 2 was multiplied by 2.5 to get 5. Therefore, x was multiplied by 2.5 to equal 12.5. So, if you divide 12.5 by 2.5, you will get the answer 5=x.

Hope This Helps!! ^O^

Answer:

when 2 in small figure is enlarged, it became 5, so it's multiplied by 2.5.

so, 2 x 2.5 = 5

therefore, X x 2.5 = 12.5

                 X = 12.5/2.5

                 X = 5

Hope it helped u,

pls mark as the brainliest

^_^

Answer:

lnx-24ln+lnx+100ln=3ln5

2lnx+76ln=3ln5

Answer:

square root of 3

Step-by-step explanation:

...................

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Given parameters:

Points = (1,1) and (5,-5)

Unknown:

Slope = ?

Solution:

The slope of the a line is the ratio of the rise of a line to its run.

 Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

x1  = 1

y1  = 1

x2  = 5

y2 = -5

  Insert the parameters and solve;

     Slope  = [tex]\frac{-5 - 1}{5-1}[/tex]   = [tex]\frac{-6}{4}[/tex]   = [tex]-\frac{3}{2}[/tex]

Answer:

4¹⁵

Step-by-step explanation:

3×5=15 ....................

4 hours and 45 minutes

The number of miles increasing each

hour is 16, 16 times 4 is 64, and to get

to 76, you add an extra 3/4 of an hour

which is 45 minutes.

Hope it helps!