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2 years ago

10

38% of 1200 Otto middle school students are 6th how many auto students are sixth graders

1 answer:

kramer2 years ago

6 0

Answer:

456 students

Step-by-step explanation:

38% = 0.38

1200 x 0.38 = 456

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Evaluate the following pic

GREYUIT [131]

Answer:

1) $\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}=-11$

3) Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

Step-by-step explanation:

1) $\sqrt{1225}+\sqrt{1024}$

Prime factors of 1225 : 5x5x7x7

Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2

$\sqrt{1225}+\sqrt{1024}\\=\sqrt{5\times5\times7\times7}+\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2}\\=\sqrt{5^2\times7^2}+\sqrt{2^2\times2^2\times2^2\times2^2\times2^2}\\=5\times7+(2\times2\times2\times2\times2)\\=35+32\\=67$

$\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}$

We know that $\sqrt[n]{-x}=-\sqrt[n]{x} \ ( \ if \ n \ is \ odd)$

Applying radical rule:

$\sqrt[3]{-1331}\\=-\sqrt[3]{1331} \\=-\sqrt[3]{11\times\11\times11}\\=-\sqrt[3]{11^3} \\Using \ \sqrt[n]{x^n}=x \\=-11$

So, $\sqrt[3]{-1331}=-11$

3) $2:p :: p:8$

It can be written as:

$p*p=2*8\\p^2=16\\Taking \ square \ root \ on \ both \ sides\\\sqrt{p^2}=\sqrt{16}\\p=\pm 4$

Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6$

Put value of x, y and z in equation and solve:

$x^3+y^2+z \\=(3)^3+(-2)^2+(-6)\\=27+4-6\\=25$

So, $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}$

We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd

$\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}\\\\=\frac{1296\times-8\times 27}{46656}\\\\=\frac{-279936}{46656} \\\\=-6$

So, $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

8 0

2 years ago

NEED ANSWERS PLEASEEE! PROGRESS REPORTS GO IN SOON.

dlinn [17]

Answer:

1. they both are the same length and diameter, the difference is thw diameter is a different direction.

2. 4 cm

3. EB and 8 cm

Step-by-step explanation:

Diameter is the length of the circle aross, hope this helps!

8 0

2 years ago

The total cost for paperback books varies

postnew [5]

Answer:

$113.81

Step-by-step explanation:

Find the cost for one book:

35.94 / 6 = 5.99

Multiply 5.99 with the number of books buying:

5.99 x 19 = 113.81

4 0

2 years ago

Plzzz hellllpppppppp again lol

melomori [17]

Answer: D

Step-by-step explanation:

7 0

3 years ago

Help plssssssssss omgggg

Sphinxa [80]

Answer:

$5\dfrac{7}{8} c +7$

Step-by-step explanation:

The like terms are the ones containing the variable 'c'. They are combined by adding their coefficients.

Working just with the coefficients of c, we have ...

$2\dfrac{3}{4} +3\dfrac{1}{8}=(2+3)+\left(\dfrac{6}{8}+\dfrac{1}{8}\right)=5\dfrac{7}{8}$

Then the simplified expression is ...

(2 3/4)c +(3 1/8)c +7

= (5 7/8)c +7

3 0

2 years ago