If you can solve 3 problems every 5 minutes on a math test, a) how many problems can you solve in 90 minutes?

Answer:

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since x-value increases by 3,

Δx = 3

And y-value decreases by 2,

Δy = -2

Therefore, slope = [tex]\frac{\triangle y}{\triangle x}[/tex]

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

Equation of the line passing through (-2, 5) and slope = [tex]-\frac{2}{3}[/tex] will be,

y - 5 = [tex]-\frac{2}{3}(x+2)[/tex]

y = [tex]-\frac{2}{3}x-\frac{4}{3}+5[/tex]

y = [tex]-\frac{2}{3}x+\frac{11}{3}[/tex]

y = [tex]\frac{1}{3}(-2x+11)[/tex]

Table for input-output values will be,

x      -2         0         1          2         3

y       5        3.7       3        2.3      1.7    

We can plot these points to get the line on a graph.

Answer:

Step-by-step explanation:

(-3.1 - 4.92)/2 = -8.02/2 = -4.01

(-2.8 - 3.3)/2 = -6.1/2= -3.05

(-4.01. -3.05) the midpoint

Step-by-step explanation:

Tanø=opp/adj

Tan30=x/7. (× b.s 7)

x=7Tan30

x= 4.04

Answer:

25.3

Step-by-step explanation:

I just put it in my calculator.

Answer:

D. y = 0.42x + 55

Step-by-step explanation:

Let the equation for the cost of the truck be represented by y = mx + b,

where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.

We are given that,

Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and

Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.

This gives us the equations,

142.78 = 209m + b

112.96 = 138m + b

Subtracting these equations, we get,

29.82 = 71m

i.e. m = 0.42

Substituting the value of ' m ' in first equation, we get,

142.78 = 209 × 0.42 + b

i.e. 142.78 = 87.78 + b

i.e. b = 55.

Hence, the equation for the cost of the truck is y = 0.42x + 55

Answer:

d.y = 0.42 x + 55

Step-by-step explanation:

Hey there! I'm happy to help!

The range of a function is all of the outputs. Let's plug in our inputs and find these outputs.

4(-3)+3

-12+3

-9

4(2)+3

8+3

11

4(4)+3

12+3

15

We order these from least to greatest, giving us a range of {-9,11,15}.

Have a wonderful day! :D

Answer:

D. 93°, 29°, 58°

Step-by-step explanation:

In a triangle we can only have 3 Interior angles.

The sum of the Interior angles in a triangle = 180°

Adding up the given Interior angles in the above question:

A. 15°, 48°, 27°

= 15° + 48° + 27°

= 90°

90° ≠ 180°

Option A is wrong

B. 56°, 45°, 46°

= 56 ° + 45° + 46°

= 147°

147° ≠ 180°

Option B is wrong

C. 42°, 84°, 64°

= 42° + 84° + 64°

= 190°

= 190° ≠ 180°

Option C is wrong.

D. 93°, 29°, 58°

93° + 29° + 58°

= 180°

180° = 180°

Option D is the correct Option.

Therefore, the set of angle measures that could be the interior angles of a triangle is Option D. 93°, 29°, 58°

Hey there! I'm happy to help!

Tom has 150 already saved and for every hour he works, he will gain an extra $25. After h hours, he will have $300,

So, we multiply 25 by n, because for every hour he will have 25 added to his total, and repeated addition is multiplication, so we multiply 25 by n.

We add 150 as that is what we already have saved.

Finally, we want this to equal 300.

So, here is our equation.

25n+150=300

Now we solve. We subtract 150 from both sides.

25n=150

We divide both sides by 25.

n=6

Tom will have to work six hours to buy the iPhone.

Have a wonderful day! :D

Answer:

25(6)+150=300

Step-by-step explanation:

25x+150=300

25x=300-150

25x/25=150/25

x=6

Answer:

x=20

Step-by-step explanation:

2 ×(x - 8)=24

2x - 16 =24

2x =24 +16

2x =40

x=40 :2

x=20

Answer:1

Step-by-step explanation:

0+1=1

Answer:

3 pounds

Step-by-step explanation:

1st pound:

ups=7

fedex=5

2nd  pound:

ups=8

fedex=7

3rd pound:

ups=9

fedex=9

Answer:

8+(3/4w)

Step-by-step explanation:

8 for the miles she's already gone then plus 3/4 times number of weeks to represent how many more she'll go

Answer:

A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

So since there is 3 days and the total is 24 you divide and that will give you 8! Integers are a whole number btw (:

Answer: 3

Step-by-step explanation: well if he does rows of 10 then it will have to be 3   and he will have 20 potato plants left over.

Answer:

0.29 per soda before tax

Step-by-step explanation:

subtract the tax then divide by the number of cans of soda, thats how i got my answer! hope this helps!

Answer: m=2

Use the slope-intercept form

y=mx+b to find the slope m

Step-by-step explanation:

Use the slope-intercept form

y=mx+b to find the slope m

Answer:

basically it's a vertical line on -4

Answer: 29317

Step-by-step explanation:

Answer:

7x for the first expression

2x + 2y + 8x^2

Step-by-step explanation:

5(2x) - 3x

= 10x - 3x = 7x

2x + 2y + x^2(8)

= 2x + 2y + 8x^2

Answer:

The answer is D. 9/10

Step-by-step explanation:

The reason why is because the numerator 3 multiplied by 3 gives you 9 and the denominator doesn't change, so the answer is 9/10.

first question is false I think and the second one is true I think

Step-by-step explanation:

I'm not that good at math but I'm just trying to help

Answer:

4.5 km

Step-by-step explanation:

3km times 1 = 3 and then 3km times .5 = 1.5

3+1.5= 4.5

this is answer for number 4

3.5x + 5.5x + 6 = 51

9x = 51 -6 = 45

x =45/9

x = 5 people

answer for number 5 (i assume x is the number)

5x -18 -4x = -36

x = -36 + 18

x = -18

Answer:

13620000

Step-by-step explanation: