Lizzy has 6.5 hours to tutor 4 students and spend 1.5 hours in a lab. She plans to
tutor each student the same amount of time. The inequality 4t +1.5 < 6.5 can be
used to find t, the greatest amount of time in hours Lizzy could spend with each
student. a. Solve the inequality and interpret what your solution means. b. Can
Lizzy tutor each student for 1.5 hours? Explain. *

Answer:

x>-33/2

Step-by-step explanation:

this is because you must solve the equation. when you divide by a negative number in order to get the x alone the sign of the inequality flips.

Answer:

[tex]x > \frac{ - 11 - 22}{2} [/tex]

Step-by-step explanation:

Step 1: Subtract 7x7x from both sides.

−11<9x+22.−7x

Step 2:Simplify 9x+22.-7x9x+22.−7x to 2x+22.2x+22.

−11<2x+22.

Step 3:Subtract 22.22. from both sides.

−11−22.<2x

Step 4:Divide both sides by 22.

[tex] \frac{ - 11 - 22}{2} < x[/tex]

Step 5, Switch sides.

[tex] x > \frac{ - 11 - 22}{2} [/tex]

I hope it helps you.

Answer:

x > −2

Step-by-step explanation:

~Solve~

Let's solve your inequality step-by-step.

4x−1>−9

Step 1: Add 1 to both sides.

4x−1+1>−9+1

4x>−8

Step 2: Divide both sides by 4.

4x

4

>

−8

4

x>−2

Answer:

x>−2

Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

Number of days bottle will last = [tex]\frac{240}{12}=20[/tex]

Hence,

The bottle will last for 20 days.

Answer:

E

Step-by-step explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E

Answer:

C

Step-by-step explanation:

It's not A because 7 is being repeated for y more than once. It's not B because 5 has been repeated more than once for y. It's not D because 7 is being repeated more than once for x. If you look at C, you can see that no numbers are being repeated for x, and no numbers are being repeated for y.

Answer:

$81.12

Step-by-step explanation:

get cost per 1 pound by dividing 141.96 by 7; unit price is $20.28

4 pounds multiplied by 20.28 gives you $81.12

Answer:

c is the answer of that questoion

Answer:

Step-by-step explanation:

The initial value = 390

It decayed at an exponential rate of 8.5% for 9weeks which is also 63days

Decay exponential rate after 42days will be:

8.5% = 63days

x% = 42days

8.5% ×42days = 63days×x%

357 = 63x

x = 357/63

x = 5.666%

Hence after 42days it would have decayed by 5.666% of it initial value.

That is 5.666% of 390

5.666/100 × 390

0.056×390

= 22.0974

To the nearest hundredth 22.10

Hence the value left will be 390-22.0974

= 367.9026

To the nearest hundredth 367.90

Answer:

The answer is 367.57

Answer:

2057

2 2

Step-by-step explanation:

Answer:  slope: 1/4

y-intercept: 0,3

Step-by-step explanation:

Answer:

x = 10/3

Step-by-step explanation:

Please post your question fully !!

Answer:

huh?.............

Step-by-step explanation:

im not smart

Answer:

the answer is B

Step-by-step explanation:

Answer:

8x+36

Step-by-step explanation:

distribute the -4

-2x times -4 + -9 times -4

8x+36

Answer:

[tex]64x^2+648x-124[/tex]

if your question is

[tex]\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36[/tex]

Answer:

Its A

Step-by-step explanation:

Answer:

731 of the projects received a ribbon.

Step-by-step explanation:

850 x 0.86 = 731

Hope this helps!

Answer:

Maria is spending $1.25 for the bus pass everyday

Step-by-step explanation:

Given that Maria paid $38.75 for the pass for a month

As she bought the pass for the month of October and October has 31 days, dividing the amount paid for pass by 31 will give us the per day cost that she is spending.

So,

[tex]Per\ day\ cost = \frac{38.75}{31}\\= 1.25[/tex]

Maria is spending $1.25 for the bus pass everyday

Answer:

x+4=12

x in this equation would be 8

Answer:

X + 4 = 12

Step-by-step explanation:

you write it in a equation for like if you were writing whats two plus two equals 4 write it equation form ? The answer would be 2+2=4

Answer:

Yes

Step-by-step explanation:

xy=yx because either way, you would end with the same product. For example, if x was 3 and y was 2, you would have (3)(2)=(2)(3), giving you 6=6 which is, in fact, a true statement.

Answer:

Total you have to pay: $47.55

Tax amt: $6.20

Step-by-step explanation:

Multiply $41.35 by 1.15

How this works, when your increasing an amount you first change the percentage to a decimal number. Afterwards you add the decimal number

Ex: 1 + .15= 1.15

Or the opposite: 1 - .15= .85

Then multiply your original number by the number you got from the previous step.

Ex: $41.35 x 1.15=47.55

And to find how much you increase just do (Final amount-Initial Amount)

Answer:

Dependent.

Step-by-step explanation:

The system of equations we got there is dependent. This is because they are both basically the same equation, so the graph of both of them is just the same. We can get one equation from the other:

x+2y=7

if we multiplied both sides of the equation by -2 we would get:

-2(x+2y)=-2(7)

-2x-4y=-14

This means that the system of equations will have infinitely many answers.

Answer:

-12.75

Step-by-step explanation:

Find the product of 51 and -2.5. Use the distributive property to rewrite and solve.

The next step using Distributive property is to expand the brackets

5.1 × 2.5

Step 1: Distributive property

51(-2.0) + 51(-0.5)

Step 2: Expand the brackets

-10.2 + -2.55

Step 3

- 12.75

Answer:

-12.75

 The next step using Distributive property is to expand the brackets  

5.1 × 2.5  

Distributive property

51(-2.0) + 51(-0.5)

Expand the brackets

-10.2 + -2.55

 - 12.75

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

31 is half of 62, so it was a 50% decrease.

Answer:

D

Step-by-step explanation:

We require to calculate the circumference (C) of the pizza

C = 2πr ( r is the radius )

here r = 10, then

C = 2π × 10 = 20π

Now divide the circumference by 4, for number of pieces, that is

number of pieces = [tex]\frac{20\pi }{4}[/tex] = 5π ≈ 15.7073...

Thus 15 full pieces can be cut from the pizza

Answer:

Step-by-step explanation:

>

Answer:

[tex] y = 4 + 3 \sqrt{7} i[/tex]

Step-by-step explanation:

[tex](y-4)^2+63=0 \\ \\ (y-4)^2 = - 63 \\ \\ (y-4)= \sqrt{ - 63} \\ \\ y - 4 = 3 \sqrt{7} i \\ \\ y = 4 + 3 \sqrt{7} i[/tex]

Answer:     y=5                           x=11

abc=def                                      

ab=de                                         <b=<e

17y-8=12+13y                              11x-4=117

-13y        -13y                                  +4   +4

4y-8=12                                      11/11x=121/11

  +8  +8                                           x=11

4/4y=20/4

y=5

Answer:

d) A = 8⁻⁹

Step-by-step explanation:

[tex]A^{\frac{-x}{9}}= (8^{-9})^{\frac{-x}{9}}[/tex]

        [tex]= 8^{-9*\frac{x}{-9}}\\\\=8^{x}[/tex]