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4 years ago

What is the unit rate of 80/1.5?

Mathematics

2 answers:

riadik2000 [5.3K]4 years ago

6 0

the unit rate is:

53.33

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1.5

80 ÷ 1.5

1.5 ÷ 1.5

53.33/1

drek231 [11]4 years ago

4 0

Answer:

53.33

Step-by-step explanation:

This is a fraction equal to 80 miles ÷ 1.5 hours

We want a unit rate where 1 is the denominator, so we divide top and bottom by 1.5

$\frac{80 miles/1.5}{1.5 hours/1.5}$

$=\frac{53.33 miles}{1 hour}$

$=\frac{53.33 miles}{hour}$

Answer : $=53.33$

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Smallest to largest, these are -4, 4/3, √105.

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3 years ago

What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=21.2/2=10.6\ cm$ ----> the radius is half the diameter

substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

using proportion

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4 years ago

PLEASE PLEASE HELP AND I NEED YOU TO DO IT FAST BECAUSE I HAVE TO GO SOON

Greeley [361]

The height is modelled by the equation:

$h(t)=-0.2t^2+2t$

Therefore

$\begin{gathered} \text{ } \\ \frac{\text{ dh}}{\text{ dt}}=-0.4t+2 \end{gathered}$

At the maximum height dh/dt = 0:

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Hence, the ball gets to the maximum height after 5s.

The maximum height is given by h(5):

$h(5)=-0.2(5)^2+2(5)=5$

Therefore, the maximum height is 5 ft.

When the ball reaches the ground h(t) = 0:

$\begin{gathered} -0.2t^2+2t=0 \\ \text{ Dividing both sides by -0.2, we have:} \\ t^2-10t=0 \\ Factorising\text{ the left hand side, we have} \\ t(t-10)=0 \\ \text{ Therefore,} \\ t=0,\text{ t=10} \end{gathered}$

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1 year ago

What is (-5.6) Please help

grin007 [14]

Answer:

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4 years ago

A test is worth 50 points. Multiple-choice are worth 1 point and short answer questions are worth 3 points. If a test has 20 que

tankabanditka [31]

Answer:

5 multiple choice questions

Step-by-step explanation:

Write equations to represent the situation.

let "x" be the number of multiple choice questions

let "y" be the number of short answer questions

Equation for the total number of questions:

x + y = 20 # of multiple choice questions + # of short answer questions

Equation for the total points: (Multiply the type of question with how many points you get.)

x + 3y = 50 You don't need to write '1' beside 'x' for multiplying by 1.

The system of equations we need to solve is:

x + y = 20 and x + 3y = 50

We can solve using the substitution method.

Rearrange x + y = 20 to isolate one variable.

Isolate 'y'.

x + y = 20

x - x + y = 20 - x Subtract 'x' from both sides

y = 20 - x

Take the other equation x + 3y = 50. You can replace 'y' with the equation that equals 'y' that we got when rearranging.

Substitute y for 20 - x

x + 3y = 50

x + 3(20 - x) = 50 Use distributive property. Multiply the 3 outside the bracket by each number inside the bracket.

x + 60 - 3x = 50 Combine like terms. 'x' and '-3x' are alike because they both have 'x'.

60 - 2x = 50 Start isolating 'x'.

60 - 60 - 2x = 50 - 60 Subtract 60 from both sides.

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x = -10/-2 -2x/-2 becomes 'x'. -2/-2 cancels out.

x = 5 Number of multiple choice questions

Therefore there are 5 multiple choice questions.

If you needed the number of short answer questions too, you would substitute x for 5 in any of the other equations.

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3 years ago