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katovenus [111]
2 years ago
11

Solve for x.

Mathematics
1 answer:
Grace [21]2 years ago
4 0

Answer:

C. x = -3

Step-by-step explanation:

-15x + 60 <= 105

-15x <= 45

-x <= 3

x >= -3

14x + 11 <= -31

14x <= -42

x <= -3

the only solution that is in both solution areas is x = -3.

for all other values of x we violate one of the 2 conditions.

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At a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump
Aleks04 [339]

Answer:

0.150,0.595

Step-by-step explanation:

Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.

               Regular gas          Midgrade         Premium gas      Total

Percent      40                            35                     25                   100

atleast 30   30%                         50%                 60%

a) The   probability that the next customer pumps premium gas and pays at least $30

=0.25*0.60\\=0.150

b)        the probability that the next customer pays at least $30

= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and       pays atleast 30%)

=0.40*0.30+0.35*0.50+0.25*0.60\\=0.12+0.175+0.30\\=0.595                  

6 0
3 years ago
Bella used 2/9 of a paper pack, or 72 pieces. How many pieces of paper were there to start with?
prisoha [69]

Hello!

First, we need to find the unit rate.

72 divided by 2 = 36.

36 x 9 = 324.

There were 324 pieces of paper to start with.

Hope this helps, ~Pooch ♥

6 0
3 years ago
What are the first five sequences to the equation f(1)=2/3,f(n)=f(n-1)x3/2
iren [92.7K]

Answer:

2/3,1,3/2,9/4,27/8

Step-by-step explanation:

f(1)=2/3

f(n)=f(n-1)×3/2

f(2)=f(2-1)×3/2=f(1)×3/2=2/3×3/2=1

f(3)=f(3-1)×3/2=f(2)×3/2=1×3/2=3/2

f(4)=f(4-1)×3/2=f(3)×3/2=3/2×3/2=9/4

f(5)=f(5-1)×3/2=f(4)×3/2=9/4×3/2=27/8

7 0
3 years ago
PLZ HELP ME NEED THIS FAST WILL GIVE BRAINLIEST
OleMash [197]

Answer: l = 60 ft and w = 30 ft

P = 2(l + w)

180 = 2(l + w)

Let x = width of his yard

Let 2x = length of his yard

180=2(2x+x)

\frac{180}{2}=\frac{2(2x+x)}{2}

90=3x

\frac{90}{3} =\frac{3x}{3}

x=30ft

l = 2x = 30(2) = 60 ft

Check:

180 = 2(l + w)

180 = 2(60 + 30)

180 = 2(90)

180 = 180

LS = RS

4 0
3 years ago
Please help i will give u brainliest :)
horrorfan [7]

Answer:

425+250 times 8.3%

Step-by-step explanation:

6 0
3 years ago
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