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 6.5 - 4t (greater than or equal to)5 can be used to find t, the amount of time in hours Lizzy could spend with each student. Solve the inequality. Can Lizzy tutor each student for 1.5 hours? Explain.

Answers

Answer 1

Answer: Not really sure whats up with that inequality but she can't, if she has to spend 1.5 hours in a lab that leaves her with 5 hours. 5/4 is 1.25, so no, she can only spend 1.25 hours with each student.

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Bianca has to drive 180 miles to her aunts house . She drove 30% of the total distance before lunch . How many miles did she drive before lunch ?

Answers

Bianca drove 54 miles.

180 x 30%(0.30) = 54.

So thats why ur answer is 54 and hopefully i helped you.

Hi

180 ⇒ 100%
x ⇒ 30%

100x = 30·(180)
100x = 5400
x = 5400/100
x = 54 miles

Answer: 54 miles

Which ordered pair in the form(x,y) is a solution of this equation? 7x-5y=1
A] (-3,-2)
B] (-2,-3)
C] (0,4)
D] (4,0)

Answers

The ordered pair is (-2, -3)

Step-by-step explanation:

Step 1: To find whether an ordered pair is a solution, substitute values of x and y and see whether it satisfies the equation.

(-3, -2) ⇒ 7 × -3 - 5 × -2 = -21 + 10 = -11 ≠ 1

(-2, -3) ⇒ 7 × -2 - 5 × -3 = -14 + 15 = 1

(0, 4) ⇒ 0 - 5 × 4 = 20 ≠ 1

(4, 0) ⇒ 7 × 4 - 0 = 28 ≠ 1

So the ordered pair is (-2, -3)

Write two different ratios that are equivalent to 3 : 2.

Answers

Here are 2, they simplify down to 3:2 so they are equivalent
6:4
9:6

Well, if we multiply BOTH by 2, ONE equivalent ratio would be 6:4, and if we multiply BOTH by 3, the SECOND equivalent ratio would be 9:6.
I hope I helped! =D

What are two different methods you can use to figure out what 34% of 120 is? (Explain both methods and show your setup of each) Do not solve

Answers

You can use the proportion $(is)/(of)$ or $(part)/(whole)$ = $(percent)/(100)$ , where you fill in what you know, crossmulitply, and solve for x. You can also write it as an equation, where of=mulitply and is=equal to, and the percent is expressed as a decimal. Your two different equations would be .34x120=x and $(x)/(120)$ = $(34)/(100)$

the answer would be 40.8. simply u take 34 multiply by 120 the u divide the answer by 100 to 40.8

Write an equation of the line that passes through the given points:there are four questions:

   1) (0,-1);(6,8)
   2) (3,1);(9,7)
   3) (1,2);(10,14)
   4) (0,0);(-3,5)

Answers

y=ax+b
1) we put this points into general formula
$\left \{ {{-1=a*0+b} \atop {8=6a+b}} \right.\nb=-1\n8=6a-1\n6a=9\na= (3)/(2)$
$y= (3)/(2)x-1$
2)
$\left \{ {{1=3a+b} \atop {7=9a+b}} \right. \n b=1-3a\n7=9a+1-3a\n6a=6\na=1\nb=1-3*1=-2\ny=x-2$
3)
$\left \{ {{2=a+b} \atop {14=10a+b}} \right.\nb=2-a\n14=10a+2-a\n12=9a\na= (4)/(3) \nb=2- (4)/(3)=(2)/(3)\ny=(4)/(3)a+(2)/(3)$
4)
$\left \{ {{0=b} \atop {5=-3a+b}} \right.\n5=-3a\na=- (5)/(3)\ny=-(5)/(3)a$

Numbers expressed using exponents are called

Answers

The correct answer is:
powers.

Explanation:
The base of a power is the number that is multiplied repeatedly; the exponent is the number of times it is multiplied. Together they make a power.

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