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frozen [14]
3 years ago
6

Pizzas cost $12 each, tax included. You decide to give the delivery driver a $6 tip.

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

$42

Step-by-step explanation:

12*3=36+6=42

Y_Kistochka [10]3 years ago
7 0

Answer:

42

Step-by-step explanation:

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Which is the correct slope-intercept equation for a line that passes through the points (1,-3) and (-3,17)
lana [24]

Answer:

y=-5x+2

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

<u>1) Determine the slope (m)</u>

<u />m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

Plug in the given points (1,-3) and (-3,17)

=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5

Therefore the slope of the line is -5. Plug this into y=mx+b:

y=-5x+b

<u>2) Determine the y-intercept (b)</u>

y=-5x+b

Plug in one of the given points and solve for b

-3=-5(1)+b\\-3=-5+b

Add 5 to both sides of the equation to isolate b

-3+5=-5+b+5\\2=b

Therefore, the y-intercept of the equation is 2. Plug this back into y=-5x+b:

y=-5x+2

I hope this helps!

4 0
3 years ago
Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoo
adell [148]

Answer:

[tex]4608\sqrt{3}[/tex]

Step-by-step explanation:

1. \sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}

2. \sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}   <em>factoring 96</em>

<em>since \sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}</em>

3. \sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}

<em>using exponent rule - (a^{b}) ^{c} = a^{bc}</em>

<em> \sqrt{2^{5} } = 2^{5/2}</em>

4. 2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}

<em>doing some simple simplification and 4=2^{2}  and 6=2*3</em>

5. 2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}

<em>collecting the roots on one side and applying exponent rule</em>

6. \sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}

<em>Applying exponents rule on all \sqrt{3} and \sqrt{2}</em>

<em>7. 2^{1/2+1/2+1/2} *2^{5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}</em>

<em>combining all powers of 2</em>

8. 2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}

<em>Simplifying</em>

9. 2^{9} *3^{2}\sqrt{3}

10. 512*9\sqrt{3}

11. 4608\sqrt{3}

8 0
3 years ago
Read 2 more answers
On each 3 days, Derrick rode 6.45 km. to school, 150 meters to the library and 500 meters back home. How many kilometers did he
Anettt [7]
Total Distance = 6.45km + 150m + 500m

Convert meters to kilometers:
Total Distance = 6.45km + 0.15km + 0.5km

Add them up:
Total Distance = 7.1km

Find total distance he rode in 3 days:
1 day = 7.1 km
3 days = 7.1 x 3 = 21.3 km

-----------------------------------------------------------------------------------
Answer: He rode 21.3 km in the 3 days.
------------------------------------------------------------------------------------
7 0
3 years ago
Read 2 more answers
I need help with Number 12 is heard
tia_tia [17]

Answer:

its d

Step-by-step explanation:

you set it up like a fraction  then you cross multiply then divide which is 6 then you add 8+6=14

x        75

---       -----

8          100

8 0
3 years ago
Read 2 more answers
What is the value of |-8|
Rudik [331]

Answer: 8

Step-by-step explanation:

The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.

More examples: |9|=9

Have a nice day! :D

4 0
3 years ago
Read 2 more answers
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