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bonufazy [111]
4 years ago
6

Simplify this algebraic expression. 7y+6+4y-13=26

Mathematics
1 answer:
Aleks04 [339]4 years ago
7 0
11y-7=26
Add 7 to both side
11y=33
And to get the y. Value divide by 11
Y=3
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ANYONE PLEASE HELP. BEST ANSWER GETS BRAINLIEST
Nimfa-mama [501]
Number of students that have rabbits = 43

Number of students that have birds = 40

43 - 40 = 3

Thus, 3 more students have rabbits that birds.

Hence, the answer is A.
3 0
3 years ago
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What is the equation of the line through (5,1) with a slope of -3?
PilotLPTM [1.2K]

Answer:

C

Step-by-step explanation:

The equation of a line is given by the formula  y-y_1=m(x-x_1)

Where x_1 is the x-coordinate (it is given as 5)

y_1 is the y-coordinate (it is given as 1), and

m is the slope (it is given  as -3)

Plugging in all the info into the formula we have:

y-y_1=m(x-x_1)\\y-1=-3(x-5)

From the answer choices, we see that C is the correct answer.

7 0
3 years ago
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1500 soldiers arrive at a training camp. A few soldiers desert the camp. The drill sergeants divide the remaining soldiers into
iren [92.7K]

Answer:

The number of deserters is 34.

Step-by-step explanation:

We have to calculate the number of desertors in a group of 1500 soldiers.

The sergeant divides in groups of different numbers and count the lefts over.

If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.

If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.

If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.

If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

(1431-3)/11=1428/11=129.82\\\\(1466-3)/11=1463/11=133

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.

The deserters are 34:

D=1500-1466=34

6 0
3 years ago
Find the length of the curve. R(t) = 7t, 3 cos(t), 3 sin(t) , −2 ≤ t ≤ 2
Leviafan [203]

we are given

r(t)=(7t,3cos(t),3sin(t))

we can find x , y and z

x=7t,y=3cos(t),z=3sin(t))

now, we can use arc length formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

now, we can find derivative

x'=7,y'=-3sin(t),z'=3cos(t))

now, we can plug values

and we get

L=\int _{-2}^2\sqrt{7^2+\left(-3\sin \left(t\right)\right)^2+\left(3\cos \left(t\right)\right)^2}dt

L=\int _{-2}^2\sqrt{7^2+9}dt

=\sqrt{58}\cdot \:2-\left(-2\sqrt{58}\right)

L=4\sqrt{58}...........Answer


8 0
4 years ago
What is the 60th term of the sequence 2, -3, -8, -13?
aleksandrvk [35]

Answer:

  -293

Step-by-step explanation:

The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...

  an = a1 +d(n -1)

  an = 2 -5(n -1)

The 60th term is ...

  a60 = 2 -5(60 -1) = -293

4 0
3 years ago
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