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2 years ago

A machine produces 268 bolts in 28 minutes. At the same rate, how many bolts would be produced in 21 minutes?

Mathematics

2 answers:

iren2701 [21]2 years ago

8 0

268 / 28 = 9.57

9.57 x 21 = 201

Therefore, the answer is 201.

eduard2 years ago

7 0

I think 201.6 is you answer since 268 divided by 28 = 9.6
and 9.6*21=201.6 ok

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A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at

elena-14-01-66 [18.8K]

Answer:

dx/dt = 0,04 m/sec

Step-by-step explanation:

Area of the circle is:

A(c) =π*x² where x is a radius of the circle

Applying differentiation in relation to time we get:

dA(c)/dt = π*2*x* dx/dt

In this equation we know:

dA(c)/dt = 0,5 m²/sec

And are looking for dx/dt then

0,5 = 2*π*x*dx/dt when the area of the sheet is 12 m² (1)

When A(c) = 12 m² x = ??

A(c) = 12 = π*x² ⇒ 12 = 3.14* x² ⇒ 12/3.14 = x²

x² = 3,82 ⇒ x = √3,82 ⇒ x = 1,954 m

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0,5 = 6,28*1,954*dx/dt

dx/dt = 0,5 /12.28

dx/dt = 0,04 m/sec

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1 year ago

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Jabari is thinking of three numbers. The greatest number is twice as large as the least number. The middle number is three more

Likurg_2 [28]

Answer:

18, 21, 36

Step-by-step explanation:

Let L represent the least number. Then the greatest is 2L and the middle number is (L+3). Their sum is ...

L +(2L) +(L+3) = 75

4L = 72 . . . . . . . . . subtract 2, collect terms

L = 18 . . . . . . . . . . . divide by 4

L+3 = 21

2L = 36

The numbers are 18, 21, and 36.

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1 year ago

Complete the steps for solving 7 = –2x2 + 10x. Factor out of the variable terms. inside the parentheses and on the left side of

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we have

$7=-2x^{2} +10x$

Factor the leading coefficient

$7=-2(x^{2} -5x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$7-12.50=-2(x^{2} -5x+2.5^{2})$

$-5.50=-2(x^{2} -5x+2.5^{2})$

Divide both sides by $-2$

$2.75=(x^{2} -5x+2.5^{2})$

Rewrite as perfect squares

$2.75=(x-2.5)^{2}$

Taking the square roots of both sides (square root property of equality)

$x-2.5=(+/-)\sqrt{2.75}$

Remember that

$\sqrt{2.75}=\sqrt{\frac{11}{4}}= \frac{\sqrt{11}}{2}$

$x-2.5=(+/-)\frac{\sqrt{11}}{2}$

$x=2.5(+/-)\frac{\sqrt{11}}{2}$

$x=2.5+\frac{\sqrt{11}}{2}=\frac{5+\sqrt{11}}{2}$

$x=2.5-\frac{\sqrt{11}}{2}=\frac{5-\sqrt{11}}{2}$

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The solutions are

$x=\frac{5+\sqrt{11}}{2}$

$x=\frac{5-\sqrt{11}}{2}$

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1 year ago

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Which transformation will map an isosceles trapezoid onto itself? rotation by 180° about its center, reflection across a diagona

alukav5142 [94]

Answer:

The correct option is 4.

Step-by-step explanation:

The non parallel sides of an isosceles trapezoid are congruent.

The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if

1. Reflection across a line joining the midpoints of parallel sides.

2. Rotation by 360° about its center.

3. Rotation by 360° about origin.

If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.

If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.

If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.

After rotation by 360° about the center, we always get an onto figure.

Therefore option 4 is correct.

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1 year ago

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konstantin123 [22]

Given:

Scatter plot of weight loss plan.

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$y-4=1.5x-4.5$

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Substitute x = 4.

y = 1.5(4) - 0.5

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1 year ago

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