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3 years ago

Write an improper fraction whose value is between 5 and 10, and whose denominator is 4. Use the / key to type your fraction.

2 answers:

5 0

And improper fractions with a denominator of 4 could be..

$\frac{32}{4}$

This is because 34 over 4 simplifies to 8

I know it simplifies to 8 because 32 ÷ 4 is 8

8 is in between 5 and 10 as well
5∠ 8 ∠10

Mekhanik [1.2K]3 years ago

3 0

Answer:

$21/4, 22/4, 23/, ...,$ etc

Step-by-step explanation:

Improper fractions are characterized because the numerator is greater than the denominator, or what is the same, the fraction is greater than the unit. If an improper fraction is desired whose denominator is 4, you must have a numerator greater than 4. But if you also want the value of the fraction to be between 5 and 10, then the value of the numerator must be an integer between 20 and 40

Examples could be:

$21/4, 22/4, 23/, ...,$ etc

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Gustavo created a four-part spinner to represent the four prizes that he had an equal chance of winning: a video game system, a

nasty-shy [4]

<span>Your answer should be C which is the third option</span>

3 0

3 years ago

Read 2 more answers

Given that x=3sinθ-2 and y=3cosθ+4.Show that (x+2)²+ (y-4)²=9

asambeis [7]

Answer:

First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:

$((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9$

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

$(3\sin(\theta))^2+(3\cos(\theta))^2=9$

We can factor out 3^2 = 9 from both equations:

$9(\sin(\theta)^2+cos(\theta)^2) = 9$

We know from a trigonometric identity that $\sin(\theta)^2+cos(\theta)^2 = 1$ , meaning we can reduce the equation to:

$9(1) = 9$

$9=9$

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.

Hope this helped you.

7 0

3 years ago

During the spring you do yard cleanup for households and you also paint houses you earn $8 an hour cleaning up and $12 an hour p

Andre45 [30]

Answer: you spent 250 hours during your cleanup.

you spent 150 hours painting

Step-by-step explanation:

Let x represent the number of hours that you spent during your cleanup.

Let y represent the number of hours that you spent painting.

you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that

8x + 12y = 3800- - - - - - - - - -- 1

You worked a total of 400 hours. This means that

x + y = 400

Substituting x = 400 - y into equation 1, it becomes

8(400 - y) + 12y = 3800

3200 - 8y + 12y = 3800

- 8y + 12y = 3800 - 3200

4y = 600

y = 600/4 = 150 hours

Substituting y = 150 into x = 400 - y, it becomes

x = 400 - 150

x = 250 hours

5 0

3 years ago

A quadratic function has one zero (x-intercept) at x = -5 and another zero at x = 3. What is the equation of the axis of symmetr

liraira [26]

Answer:

x = - 1

Step-by-step explanation:

The axis of symmetry is a vertical line located at the midpoint of the zeros.

Equation is then

x = $\frac{-5+3}{2}$ = $\frac{-2}{2}$ = - 1 , that is x = - 1

8 0

3 years ago

A taxi driver can cover a distance of 130.16 miles per gallon per 5 gallons of gas if the same taxi driver travel 60 miles at th

uysha [10]

Answer:

$Gallons = 2.305$

Step-by-step explanation:

Given

Rate = 130.16 miles for 5 gallons

Required

Number of gallons used for a journey of 60 miles

The rate in miles per gallon is calculated as:

$Rate = \frac{Distance}{Gallons}$

When distance = 130.16 and gallons = 5, we have:

$Rate = \frac{130.16}{5}$

$Rate = 26.032$

When distance = 60 miles.

Substitute 60 for distance and 26.032 for rate in $Rate = \frac{Distance}{Gallons}$

$26.032 = \frac{60}{Gallons}$

Cross Multiply

$Gallons * 26.032 = 60$

$Gallons = \frac{60}{26.032}$

$Gallons = 2.305$ --- <em>approximated</em>

7 0

3 years ago