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san4es73 [151]
3 years ago
8

Tyler fills up his tank with 12 gallons of gas. If one trip, on average,takes 1/2 gallon of gas, how many trips will the Tyler b

e able to make with the 12 gallons of gas
Mathematics
1 answer:
Bingel [31]3 years ago
7 0
24
Since each trip takes half a gallon of gas, you divide the amount of gas by how much per trip.
That gives you 24 trips he can make with the gas.
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70 points and brainliest if the answer is correct
zimovet [89]

Answer:

Option D

Step-by-step explanation:

<em>If the bases are the same in a multiplication problem, then you can simply add the exponents. (i.e., a² × a⁶ = a²⁺⁶ = a⁸)</em>

\bullet \rightarrow 5^4\times5^7

\bullet\rightarrow 5^{4 + 7}

\bullet \rightarrow \boxed{5^{11}}

3 0
2 years ago
Read 2 more answers
Create a matrix for this system of linear equations, The determinant of the coefficient matrix is
marin [14]

Answer:  The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation:  The given system of linear equations is :

2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.

Now, from equations (ii) and (iii), we have

x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.

From equations (iv) and (v), we get

y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0
3 years ago
It says to use compatible numbers also help!
Rus_ich [418]

First, multiply 30 with 25

30 x 25 = Area

Area = 750 square yards

one bag gives you 100 square yards

Divide the two numbers

750/100 = 7.5

Since you cannot buy half a bag, you must round up

8 bags is needed

hope this helps

4 0
3 years ago
Read 2 more answers
A normal distribution has a mean 20 and standard deviation 5. What is the z score that corresponds to the value x=222
sashaice [31]

Answer: The z score that corresponds to the value x=22 is 0.4 .

Step-by-step explanation:

Given : A normal distribution has a mean 20 and standard deviation 5.

i.e. \mu=20

\sigma=5

Let x be the random selected variable.

We know that to find the z-score corresponds to the value x is given by :-

z=\dfrac{x-\mu}{\sigma}

For x = 22, we have

z=\dfrac{22-20}{5}=\dfrac{2}{5}\\\\\Rightarrow\ z=0.4

Hence, the z score that corresponds to the value x=22 is 0.4

5 0
3 years ago
A sector with an area of 30(pi) cm^2 has a radius of 10 cm.
Karolina [17]

Answer:

  108°

Step-by-step explanation:

The area of a sector is given by the formula ...

  A = (1/2)r²θ . . . . . where θ is in radians

Solving for θ, we find ...

  θ = 2A/r²

For your given sector, the central angle is ...

  θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians

π radians is 180°, so the central angle in degrees is ...

  θ = (0.6)(180°) = 108°

The central angle measure of the sector is 108°.

3 0
3 years ago
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