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Usimov [2.4K]
3 years ago
12

You are charged 6.5% tax on a 42% purchase. Find the amount of tax

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0
Assuming you means 6.5% tax of a $42 purchase

0.065*42=2.73

tax is $2.73
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Solve the system for x:<br> 6x - 5y = 8<br> 2x + 9y = 24
Gennadij [26K]

Answer:

x = 3

Step-by-step explanation:

\left \{ {{6x-5y=8} \atop {2x+9y=24}} \right.

I'm going to use the method of elimination by multiplying the second equation by -3:

\left \{ {{6x-5y=8} \atop {-6x-27y=-72}} \right.

Then I can eliminate x:

-32y = -64

To solve for y, I'd simply divide:

y = 2

Because I now have y = 2, I'll just plug in 2:

6x - 5(2) = 8

6x - 10 = 8

6x = 18

x = 3

Hopefully I helped :)

8 0
4 years ago
Find the area of the shaded porrion​
stich3 [128]

Answer: 111.72 m^2 if they want round its 112

Is from O to C 14m

A=pixr^2

3.14x14^2= 615.44 m/2 half circle = 307.72

Area of triangle A= 1/2bh. .5x28x14=196

307.72-98=196= 111.72 m^2

Step-by-step explanation:

3 0
3 years ago
A landscaping company has been commissioned to design a triangular flower bed for a mall
Deffense [45]

Answer:

A=b(1/2b-1)

112ft^2

Step-by-step explanation:

-Write the equation in factored form: A= b (1/2 b -1 )

-Supposed the base of the flower bed is 16 feet. What will the area be:

b=16 feet

Formula is A=1/2(1/2b-1)

Replace the b with 16

A=1/2 (16)^2 - 16

A=1/2 (256)-16

A=256/2 - 16

A=128-16

A=112 ft^2

The area will be 112 ft^2

3 0
3 years ago
Suppose task B follows task A. The likelihood that a problem will occur with task A is 0.5, and the time to correct the problem
jasenka [17]

Answer:

The risk consequence of both activities is 1.6 months.

Step-by-step explanation:

We can define a randome variable D: total delay time for the project, and calculate its expected value.

This would be the risk consequence of both activities.

The expected delay time for the project is the sum of the expected delay for task A plus the expected delay for task B. It is assumed the likelihood of a problem in any task is independent of the other.

Then, each expected delay for a task is equal to the probability of a problem multiplied by the consequence (delay time).

E(D)=E(D_a)+E(D_b)=p_aT_a+p_bT_b\\\\E(D)=0.5*2+0.2*3=1+0.6=1.6

The risk consequence of both activities is 1.6 months.

6 0
3 years ago
Solve the system using the substitution method <br> 2x+y=6<br> 3x+5y=9<br> branliest offered
KiRa [710]
2x+y=6
3x+5y=9

y = 6 - 2x

3x + 5( 6-2x ) = 9
3x + 30 - 10z = 9
7x = 21
x = 3

y = 6 - 2(3)
y = 0
3 0
3 years ago
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