Natasha's rectangle measures 4 1/2 units by 2 1/4 units. What is its area?

Answers

Answer 1

Answer:

Answer: 49/6units^{2}49/6units

2

Step-by-step explanation:

You can convert from mixed number to fractions as following:

2 1/3=((2*3)+1)/3=7/3 units

3 1/2=((3*2)+1)/2=7/2 units

Then you can calculate the area of the rectangle as you can see below:

\begin{gathered}Area=lenght*width\\Area=7/2units*7/3units\\Area=49/6units^{2}\end{gathered}

Area=lenght∗width

Area=7/2units∗7/3units

Area=49/6units

2

Answer 2

Answer:

[tex]10\frac{1}{8}[/tex]

Step-by-step explanation:

→ Multiply the fractions together

[tex]4\frac{1}{2} *2\frac{1}{4}[/tex]

→ Convert to improper fractions

[tex]\frac{9}{2} *\frac{9}{4}[/tex]

→ Multiply across

[tex]\frac{81}{8}[/tex]

→ Convert back to mixed number

[tex]10\frac{1}{8}[/tex]


Related Questions

Factoring binomials with the difference of squares

Answers

Answer:

Step-by-step explanation:

The price of Pepsi stock was $0.65 in 1981 and $27.56 in 2011. What was the average rate of change for the stock per year
from 1981 to 2011 rounded to the nearest hundredth?

Answers

0.65 at year 0 (0, 0.65)
27.56 at year 30 (30, 27.56)

slope = (27.56 - 0.65) / (30 - 0)
slope = 26.91 / 30

Change = 0.897 or almost 90 cents

What is 10% of a number whose square
is 81

Answers

Answer: 0.9

Step-by-step explanation:

Let x be the number

Determine the value of the number

x² = 81

√x² = √81

x = 9

Find the 10% of the number

Final number = rate of percentage × original number

Final number = 10% × 9

Final number = [tex]\boxed{0.9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Use the distributive property to write an equivalent expression.
8(3v+3w-2)

Answers

24v+24w-16
I multiplied all the numbers inside the parenthesis to 8, so (8 x 3w),(8 x 3v),(8 x -2). Basically Distrbutive property is you distribute the 8 into the numbers inside the parenthesis and by distribute you just multiply. Lemme know if this is the answer you were looking for!

Answer:

8(3v+3w-2)=(8×3v+8×3w-8×2)

Step-by-step explanation:

8×3v=24v.

8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)

8×(-2)=-16.

PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!
Makayla and David work at a furniture store. Makayla is paid $230 per week plus 7.5% of her total sales in dollars, x, which can be represented by g(x)=230+0.075x. David is paid $321 per week plus 4% of his total sales in dollars, x, which can be represented by f(x)=321+0.04x. Determine the value of x, in dollars, that will make their weekly pay the same.

Answers

Answer:

6

Step-by-step explanation:

you kna mean?

Whats the answer and the steps
2(3x-4)

Answers

Answer:

-24

Step-by-step explanation:

2(3x-4)

6x-8

tim x: 3x(x-2) + 2(2-x)=0

Answers

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

how does the surface area of a cone change if the radius doubles?
how would you solve this algebraically?

Answers

Answer:

it changes because the radius has expanded

Which fraction on number lin is equal to 3

Answers

Answer:

12/4

Step-by-step explanation:

12/4

= 3/1

= 3

So, 12/4 = 3

Lauren bought snacks for her team's practice. She bought a bag of popcorn for $2.37 and a 6-pack of juice bottles. The total cost before tax was $15.45. How much was each bottle of juice?

Answers

Answer:

$2.18

$15.45-$2.37=$13.08

$13.08/6

$2.18

Equation : -2 (4g - 3) = 30

Answers

Answer:

g = -3

Step-by-step explanation:

-2 (4g - 3) = 30

-8g + 6 = 30

-8g = 24

g = -3

Answer:

[tex] \boxed{g = -3} [/tex]

Step-by-step explanation:

[First, distribute the factored term on the left side of the equation (distribution property of equality)]

-2 ( 4g – 3 ) = 30 →

-2 ( 4g ) – -2 ( 3 ) = 30 →

-8g + 6 = 30 →

[Next, subtract 6 from both sides (subtraction property of equality)]

-8g + 6 – 6 = 30 – 6 →

-8g = 24 →

[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]

-8g / -8 = 24 / -8 →

g = -3

1.) -6v²w³ (v² - 11v²w⁵ + 6w⁴)

2.) -10x⁴y⁴ (x⁴ - 4x⁴y⁴ + 4y³) ​

Answers

1) -6v^4w^3 + 66v^4w^8 - 36v^2w^7

2) -10x^8y^4 + 40x^8y^8 - 40x^4y^7

Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!

Answers

Answer:

The x which is not in the domain of the function is the root of the denominator

6) x+3=0, x=-3 is the x which is not in the domain of the function

7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function

8) x^2-16=0, x=±4 are the x which are not in the domain of the function

PLEASEE!! do at least one of the problems and show work!!!

For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.

8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2



9.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2

Answers

Step-by-step explanation:

8. b1 = (2×401.94)/19.8 - 14.4

= 40.6 - 14.4 = 26.2 cm

9. h = (2×205)/(20+21)

= 410/41

= 10cm

Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is

Answers

Answer:

x=1

Step-by-step explanation:

Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1

The equation of the vertical line in slope-intercept form is: x = 1.

What is the Equation of a Vertical Line?

A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..

Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.

Learn more about equation of a vertical line on:

https://brainly.com/question/9050446

#SPJ6

hey please help i’ll give brain

Answers

Answer:

[tex]7 \times 6 = 5 \: sixes + 2 \: sixes \\ 7 \times 6 = 30 + 12 \\ = 42 \\ \\ thank \: you[/tex]

Hi ;-)

[tex]7\cdot6=5 \ \text{sixes}+\boxed2 \ \text{sixes}\\\\=\boxed{30}+12\\\\=\boxed{42}[/tex]

What is the solution set to this equation?
log4 (x + 3) + log4x =1

A. x=0
B. x=1
C. x=1 and x= -4
D. x=-3 and x=0

Answers

Answer:

B

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

Given

[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then

[tex]log_{4}[/tex] x(x + 3) = 1

x(x + 3) = [tex]4^{1}[/tex] = 4

x² + 3x = 4 ( subtract 4 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

However, x > 0 , thus x = 1

put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6 ​

Answers

Answer:

The general equation of a slope-intercept form is as below;

[tex]y = mx + c[/tex]

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

[tex]5x + 2y = - 6 [/tex]

subtract 5x from either sides:

[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]

apply the division rule of equality:

[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]

slope » -5/2

y - intetcept » -3

If a man earns 90cents every 3 minutes and he works for a day shift of 5hours how much will he earn in that time?

my answer is 9000cents per 5 hours which is also $90 per 5 hours

Answers

Answer:

It is 9000 cents or $90 total for 5 hours

Step-by-step explanation:

Your answer is correct, it would be 9000 cents or 90 dollars

NEED ASAP DUE IN 1 HOUR

Answers

10. As 8x = 2x + 60. So x =10
Answer: 10

Explanation:
As 8x=2x+60
x=10

Write the rational numbers whose multiplicative inverse are themselves​

Answers

Answer:

the rational numbers whose multiplicative inverse are themselves are 1& -1.

hope it helps .stay safe healthy and happy.

which number has a 3 that is ten times greater than the 3 in 513

Answers

Answer:

5130

Step-by-step explanation:

You just multiply 513 by 10 to get 5130.

You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.

) Kim made $157.50
for 7 hours of
babysitting. What is
her hourly pay?

Answers

Answer:

$22.50 I believe...

Step-by-step explanation:

157.50 divided by 7

??

Answer:

$22.50 per hour

Step-by-step explanation:

157.50 = 7x

157.50 / 7 = 22.5

22.5/hour

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?

Answers

Answer:

350

Step-by-step explanation:

Do 140/0.4=350

Answer:

350 apples

Step-by-step explanation:

a = total number of apples in the crate

a* 40% = number of red apples

a * .40 = 140

Divide each side by .40

a * .40/.40 = 140/.40

a =350


A group of 20 people are going to run a race. The top 6 finishers advance to the finals. In how many different ways can they advance?

Answers

167960 is your awnser

where does 0.5 goes on a real number line​

Answers

5 points after 0, and in between 0 and 1 in the middle

[tex]\sqrt{9x^2[/tex]

Answers

Answer:

3x

Step-by-step explanation:

[tex] \sqrt{9 {x}^{2} } [/tex]

[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } x[/tex]

[tex] = 3x[/tex]

3 attempts remaining.
150 moths lived in a lab. Each week, some moths died, and about 1/5 survived . How many moths were still alive after 2 weeks?

Answers

6 moths were alive
To find the # of moths that survived the first week, you do 150 / 5 and you get 30. Do the same thing again with 30 and you get 6

Which variable is dependent temperature or time of day? Which variable is independent?​

Answers

Answer:

 The temperature depends on the time.

The independent variable is the variable the experimenter manipulates or changes.

Hope it helps you.

Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =

Answers

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slopeb = y-intercept

Therefore, the equation is y = -9x + 6.

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b where m = slope and b = y-intercept

Our slope is -9 and our y-intercept is 6

Therefore our equation is y = -9x + 6
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