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larisa86 [58]
3 years ago
6

A 6 pack of undershirts cost $13.98 . This is $3.95 more than buying 6 individual shirts. If each undershirt cost the same amoun

t, how much does each shirt cost when purchased individually
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
4 0
I got about $1.67 per shirt
goblinko [34]3 years ago
4 0
 I got $1.67 per shirt individually.
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archy bought 15 gallons of gas for $23.85. Joe bought 16 gallons of gas for $24.48. who paid less per gallon?
tekilochka [14]
Archy:  15 gallons ... $23.85
               1 gallon ...$ x = ?

x * 15 = 1 * 23.85    /15
x = 23.85 / 15
x = $1.59 per gallon

Joe:  16 gallons ... $24.48
           1 gallon ... $ y = ?

y * 16 = 1 * 24.48    /16
y = 24.48 / 16
y = $1.53 per gallon

Result: Joe paid less per gallon.
3 0
3 years ago
Part 2: Use the information provided to write the vertex form equation of each parabola.
Serggg [28]

Answer:   1.  x = -2(y - 4)² + 1

                2.  x = -y² + 5

                3.  y = -5(x + 1)² + 2

<u>Step-by-step explanation:</u>

Notes: The vertex formula of a parabola is x = a(y - k)² + h  or  y = a(x - h)² + k

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus

    \bullet\quad a=\dfrac{1}{4p}

1)

\text{Vertex}=(1,4)\qquad \text{Focus}:\bigg(\dfrac{7}{8},4\bigg)\\\\\text{Given}: (h,k)=(1,4)\\\\\\p=focus-vertex=\dfrac{7}{8}-\dfrac{8}{8}=\dfrac{-1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{8})}=\dfrac{1}{-\frac{1}{2}}=-2

Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h

x = -2(y - 4)² + 1

***********************************************************************************

2)

\text{Vertex}=(5,0)\qquad \text{Directrix}:x=\dfrac{21}{4}\\\\\text{Given}: (h,k)=(5,0)\\\\\\p=vertex-directrix=\dfrac{20}{4}-\dfrac{21}{4}=\dfrac{-1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{4})}=\dfrac{1}{-1}=-1

Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h

x = -1(y - 0)² + 5    →    x = -y² + 5

***********************************************************************************

3)

\text{Vertex}=(-1,2)\qquad \text{Directrix}:y=\dfrac{41}{20}\\\\\text{Given}: (h,k)=(-1,2)\\\\\\p=vertex-directrix=\dfrac{40}{20}-\dfrac{41}{20}=\dfrac{-1}{20}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{20})}=\dfrac{1}{-\frac{1}{5}}=-5

Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k

y = -5(x + 1)² + 2

8 0
3 years ago
Can someone help me solve A and B? I'm confused:(
IceJOKER [234]
P(a or b)= p(a)+p(b)-p(a and b)
0.7=0.6+p(b)-0.3
p(b)=0.4

p(a or b)= p(a)+p(b)-p(a and b)
              =0.6+0.4-0.3
               =0.7
3 0
3 years ago
Mark has a collection of $20 bills and $5 bills. He has a total of 6 bills totaling $75.00. How many of each type of bill does h
Naya [18.7K]

Answer:

He has 3 $20 and 3 $5

Step-by-step explanation:

20 x 3 = $60

5 x 3 = $15

15 + 60 = $75

7 0
3 years ago
Solve each inequality. Click Submit to check your solution.
labwork [276]

Answer:

x > 10

Step-by-step explanation:

Add 3 to both sides.

7 0
3 years ago
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