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spin [16.1K]
3 years ago
11

Need some help with these problems!

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:

<em>h=12, w=24, t=8</em>

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being  

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

\displaystyle w=2h

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

\displaystyle t=h-4

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

\displaystyle 3w+2h+5t=136

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

\displaystyle 3(2h)+2h+5(h-4)=136

Operating

\displaystyle 6h+2h+5h-20=136

\displaystyle 13h=156

Solving for h

\displaystyle h=12

The other two variables are

\displaystyle w=2h=24

\displaystyle t=12-4=8

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Step-by-step explanation: Rate of change is the same thing as the slope.

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A girl wants to count the steps of a moving escalator which is going up. If she is going up on it, she counts 60 steps. If she i
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Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce
Alla [95]

Answer:

The percentage is P(350 <  X  650 ) = 86.6\%

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  =  500

     The standard deviation is  \sigma  =  100

The  percent of people who write this exam obtain scores between 350 and 650    

    P(350 <  X  650 ) =  P(\frac{ 350 -  500}{ 100}

Generally  

               \frac{X -  \mu }{\sigma }  =  Z (The \  standardized \  value \ of  \  X )

   P(350 <  X  650 ) =  P(\frac{ 350 -  500}{ 100}

   P(350 <  X  650 ) =  P(-1.5

   P(350 <  X  650 ) =  P(Z < 1.5) -  P(Z <  -1.5)

From the z-table  P(Z <  -1.5 )  =  0.066807

   and P(Z < 1.5  ) =  0.93319

=>    P(350 <  X  650 ) =  0.93319 -  0.066807

=>  P(350 <  X  650 ) = 0.866

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3 0
3 years ago
Giving brainlist to whoever answers
Setler79 [48]

Answer:

m<A=94

Step-by-step explanation:

(2x+10)+(2x+2)=180

4x+12=180

-12 -12

4x=168

/4 /4

x=42

m<A= 2x+10

m<A=2(42)+10

m<A=84+10

m<A=94

Check:

Add m<A and m<B which should equal 180.

m<B=2x+2

m<B=2(42)+2

m<B=84+2

m<B=86

94+86=180

3 0
3 years ago
the ratio of girls to boys in mrs tuners class is 3:4. there 9 girls in mrs tuners class. how many boys are in mrs tuners class
Aleonysh [2.5K]

Answer:

12

Step-by-step explanation:

You set up cross multiplication 3/4 x  9/x, you go 4x9=36 divided by 3 equals 12

7 0
2 years ago
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