Olivia ties 2.5 feet of ribbon onto one balloon. How many yards of ribbon does olivia need for 18 balloons

Answers

Answer 1

Answer: $1yd=3ft\to1ft=(1)/(3)yd\n--------------------\n2.5ft\to1\ ballon\n\ntherefore\n\n18*2.5ft=45ft\to18\ ballons\n\n45ft=45*(1)/(3)yd=\boxed{15yd}\leftarrow answer$

Answer 2

Answer:

Answer:

15 yards of ribbon does olivia need for 18 balloons

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 4 meter per seconds or 5 miles per hours.

As pert the statement:

Olivia ties 2.5 feet of ribbon onto one balloon.

⇒ $\text{unit rate per balloon} = (2.5)/(1) = 2.5$ ft ribbon

Use conversion:

1 feet = 1/3 yard

then;

2.5 ft = 0.833333333 yard

⇒ $\text{unit rate per balloon} = (2.5)/(1) = 0.833333333$ yard ribbon

We have top find how many yards of ribbon does olivia need for 18 balloons

$\text{Number of ribbons} = \text{Unit rate per balloons} * 18$

Substitute the given values we have;

$\text{Number of ribbons} = 0.83333333 * 18 = 15$ yards

Therefore, 15 yards of ribbon does olivia need for 18 balloons

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on her way to visit her parents jennifer drives 265 miles in 5 hours. What is her average rate of speed in miles per hour?

Answers

Answer:

Her average rate of speed is 53 mph.

Step-by-step explanation:

Which of these rectangular prisms has a base area of 40cm2 and a volume of 160cm3?A. Height = 2cm, base length = 10cm, base width = 4cm
B. Height = 4cm, base length = 4cm, base width = 4cm
C. Height = 4cm, base length = 10cm, base width = 4cm
D. Height = 10cm, base length = 4cm, base width = 4cm

Answers

Answer:

C. Height = 4cm, base length = 10cm, base width = 4cm

Step-by-step explanation:

A rectangular prism has

1) Base area $=\text{Base Length}* \text{Base Width}$

2) Volume $= \text{Base area}* \text{Height}$

Consider all options:

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 2=80\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=4* 4=16\ cm^2\neq 40\ cm^2 \n \n\text{Volume}= 16* 4=64\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 4=160\ cm^3$

This option is true.

$\text{Base area}=4* 4=16\ cm^2 \neq 40\ cm^2 \n \n\text{Volume}= 16* 10=160\ cm^3$

This option is false.

Answer:

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm " ⇒ C

Step-by-step explanation:

The formula of the volume of a rectangular prism is V = l × w × h , where l is its length, w is its width and h is its height

∵ The area of the base of the prism is 40 cm²

∵ The its base is shaped a rectangle

∵ Area of a rectangle = l × w

∴ l × w = 40 cm²

∵ The volume of the prism is 160 cm³

- Substitute l × w and the volume in the formula of the volume

∴ 160 = 40 × h

- Divide both sides by 40

∴ 4 = h

∴ The length of the height of the prism is 4 cm

- Lets find which two numbers give a product of 40 to find l and w

∵ 40 = 10 × 4

∴ l = 10 cm and w = 4 cm

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm"

2 fractions equivalent to 1/4

Answers

Two fractions equivalent to 1/4 are...

2/8
4/16
6/24

:)

Fractions equivalent to 1/4

2/8
4/16
8/32
100/400

Just take 1/4 and multiply both numbers of your fraction by the same number. Like 1/4 times 2 is 2/8

What is the vertex of the quadratic function f(x) = (x – 6)(x + 2)?

Answers

Answer:

The vertex is (2,-16)

Step-by-step explanation:

The given function is $f(x)=(x-6)(x+2)$

We expand to obtain;

$f(x)=x^2+2x-6x-12$

$f(x)=x^2-4x-12$

We complete the squares to obtain;

$f(x)=x^2-4x+(-2)^2-12-(-2)^2$

$f(x)=x^2-4x+(-2)^2-12-4$

$f(x)=(x-2)^2-16$

The vertex form is $f(x)=(x-2)^2-16$

Comparing this to

$f(x)=a(x-k)^2+k$

The vertex is (h,k)= (2,-16)

Thelma spent 1/6 of her weekly allowance on dog toys, 1/4 on a dog collar, and 1/3 on dog food. What fraction of her weekly allowance is left?

Answers

As a simplified fraction she only have 1/4 of her allowance left

As A Simplified Fraction She Only Has 1/4 Of Her Allowance Left

What fraction of a mile is each landmark from the exit? Zoo 0.8 miles Camping 0.5 miles Hotels 0.2 miles

Answers

You can convert decimals into fractions by understanding how a decimal already is a fraction. Let's take the location of the zoo from the exit. It's 0.8 miles from the exit, right? Just add a "0" to the end of the "0.8", so you have "0.80". "0.80" is also written as 80 out of 100, which is also written as 80/100. Now, you can simplify this like a normal fraction and get 8/10. The same applies for the other two locations. The Campsite is 0.5 miles from the exit, or 0.50, or 50/100, and then 5/10, and even further to 1/2. This is because 5 is half of ten. The Hotel is 0.2 miles from the exit, which is 0.20 miles, aka 20/100, which can then be simplified to 2/10 and then 1/5, because 2 is a fifth of ten.

I hope I helped! And if you have any questions or don't understand what I wrote, feel free to contact me about it. :D Have a great day!

First see how many digits are in the decimal. 0.8 has 2 digits, so it's a 10. My denominator is 10. My last digit is 8, so my numerator is 8. 8/10 is my answer. Convert 0.5 to 5/10 and 0.2 to 2/10. Just use the same rules for all the answers. Also, if you had for example 0.09 then your answer will be 9/100. Also, another example is if you had 0.030 then your answer will be 30/1000.

Hope that helped:)

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